## Begin on: Tue Oct 15 12:59:45 CEST 2019

ENUMERATION
No. of records: 1051

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 52 (48 non-degenerate)
2     [ E3b] : 135 (83 non-degenerate)
2*    [E3*b] : 135 (83 non-degenerate)
2ex   [E3*c] : 2 (2 non-degenerate)
2*ex  [ E3c] : 2 (2 non-degenerate)
2P    [  E2] : 39 (28 non-degenerate)
2Pex  [ E1a] : 0
3     [ E5a] : 502 (215 non-degenerate)
4     [  E4] : 77 (36 non-degenerate)
4*    [ E4*] : 77 (36 non-degenerate)
4P    [  E6] : 26 (16 non-degenerate)
5     [ E3a] : 2 (2 non-degenerate)
5*    [E3*a] : 2 (2 non-degenerate)
5P    [ E5b] : 0

E9.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {9, 9})
Quotient :: toric
Aut^+ = C9 (small group id <9, 1>)
Aut   = D18 (small group id <18, 1>)
|r| :: 2
Presentation :: [ A, A, B, B, A, B, A, B, A, B, A, B, A, B, A, B, B, A, S^2, S^-1 * B * S * A, S^-1 * Z * S * Z, S^-1 * A * S * B, Z^9, (Z^-1 * A * B^-1 * A^-1 * B)^9 ]
Map::
	R = (1, 11, 20, 29, 2, 13, 22, 31, 4, 15, 24, 33, 6, 17, 26, 35, 8, 18, 27, 36, 9, 16, 25, 34, 7, 14, 23, 32, 5, 12, 21, 30, 3, 10, 19, 28)
	L = (1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 24)(7, 25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 18 f = 1
	degree seq :: [ 36 ]

E9.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {9, 9})
Quotient :: toric
Aut^+ = C9 (small group id <9, 1>)
Aut   = D18 (small group id <18, 1>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, B^3, A^3, Z^2 * B^-1 * Z, (S * Z)^2, S * B * S * A, (A^-1, Z^-1) ]
Map::
	R = (1, 11, 20, 29, 2, 15, 24, 33, 6, 12, 21, 30, 3, 16, 25, 34, 7, 18, 27, 36, 9, 14, 23, 32, 5, 17, 26, 35, 8, 13, 22, 31, 4, 10, 19, 28)
	L = (1, 21)(2, 25)(3, 23)(4, 24)(5, 19)(6, 27)(7, 26)(8, 20)(9, 22)(10, 32)(11, 35)(12, 28)(13, 36)(14, 30)(15, 31)(16, 29)(17, 34)(18, 33)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 18 f = 1
	degree seq :: [ 36 ]

E9.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {9, 9})
Quotient :: toric
Aut^+ = C9 (small group id <9, 1>)
Aut   = D18 (small group id <18, 1>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^3, (Z, A), A^-1 * Z^-3, (S * Z)^2, S * A * S * B ]
Map::
	R = (1, 11, 20, 29, 2, 15, 24, 33, 6, 14, 23, 32, 5, 17, 26, 35, 8, 18, 27, 36, 9, 12, 21, 30, 3, 16, 25, 34, 7, 13, 22, 31, 4, 10, 19, 28)
	L = (1, 21)(2, 25)(3, 23)(4, 27)(5, 19)(6, 22)(7, 26)(8, 20)(9, 24)(10, 32)(11, 35)(12, 28)(13, 33)(14, 30)(15, 36)(16, 29)(17, 34)(18, 31)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 18 f = 1
	degree seq :: [ 36 ]

E9.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {9, 9})
Quotient :: toric
Aut^+ = C9 (small group id <9, 1>)
Aut   = D18 (small group id <18, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, B^-1 * Z^-1, Z^-1 * A^-1, S * A * S * B, (S * Z)^2, B^9, Z^9, Z^4 * A^-5 ]
Map::
	R = (1, 11, 20, 29, 2, 13, 22, 31, 4, 15, 24, 33, 6, 17, 26, 35, 8, 18, 27, 36, 9, 16, 25, 34, 7, 14, 23, 32, 5, 12, 21, 30, 3, 10, 19, 28)
	L = (1, 21)(2, 19)(3, 23)(4, 20)(5, 25)(6, 22)(7, 27)(8, 24)(9, 26)(10, 29)(11, 31)(12, 28)(13, 33)(14, 30)(15, 35)(16, 32)(17, 36)(18, 34)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 18 f = 1
	degree seq :: [ 36 ]

E9.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ S^2, A^2, B * A, S * B * S * A, A * Z * A * Z^-1, (S * Z)^2, Z^5 ]
Map::
	R = (1, 12, 22, 32, 2, 15, 25, 35, 5, 18, 28, 38, 8, 14, 24, 34, 4, 11, 21, 31)(3, 16, 26, 36, 6, 19, 29, 39, 9, 20, 30, 40, 10, 17, 27, 37, 7, 13, 23, 33)
	L = (1, 23)(2, 26)(3, 21)(4, 27)(5, 29)(6, 22)(7, 24)(8, 30)(9, 25)(10, 28)(11, 33)(12, 36)(13, 31)(14, 37)(15, 39)(16, 32)(17, 34)(18, 40)(19, 35)(20, 38)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 20 f = 2
	degree seq :: [ 20^2 ]

E9.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
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^-1 * B^-1 * Z^-1 * A^-1, (A^-1, Z^-1), A^-1 * B^-1 * Z^-2, (S * Z)^2, S * B * S * A, B * A * B * A * Z^-1 ]
Map::
	R = (1, 12, 22, 32, 2, 16, 26, 36, 6, 19, 29, 39, 9, 14, 24, 34, 4, 11, 21, 31)(3, 17, 27, 37, 7, 15, 25, 35, 5, 18, 28, 38, 8, 20, 30, 40, 10, 13, 23, 33)
	L = (1, 23)(2, 27)(3, 29)(4, 30)(5, 21)(6, 25)(7, 24)(8, 22)(9, 28)(10, 26)(11, 35)(12, 38)(13, 31)(14, 37)(15, 36)(16, 40)(17, 32)(18, 39)(19, 33)(20, 34)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 20 f = 2
	degree seq :: [ 20^2 ]

E9.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C12 (small group id <12, 2>)
Aut   = C4 x S3 (small group id <24, 5>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, Z^3, (S * Z)^2, S * B * S * A, (A^-1, Z^-1), (B^-1, Z^-1), B^2 * A^-2 ]
Map:: non-degenerate
	R = (1, 14, 26, 38, 2, 17, 29, 41, 5, 13, 25, 37)(3, 18, 30, 42, 6, 21, 33, 45, 9, 15, 27, 39)(4, 19, 31, 43, 7, 22, 34, 46, 10, 16, 28, 40)(8, 23, 35, 47, 11, 24, 36, 48, 12, 20, 32, 44)
	L = (1, 27)(2, 30)(3, 32)(4, 25)(5, 33)(6, 35)(7, 26)(8, 28)(9, 36)(10, 29)(11, 31)(12, 34)(13, 39)(14, 42)(15, 44)(16, 37)(17, 45)(18, 47)(19, 38)(20, 40)(21, 48)(22, 41)(23, 43)(24, 46)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C6 x C2 (small group id <12, 5>)
Aut   = (C6 x C2) : C2 (small group id <24, 8>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^3, S * B * S * A, (S * Z)^2, (B * A)^2, B * Z * B * Z^-1, A * Z * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 14, 26, 38, 2, 17, 29, 41, 5, 13, 25, 37)(3, 18, 30, 42, 6, 21, 33, 45, 9, 15, 27, 39)(4, 19, 31, 43, 7, 22, 34, 46, 10, 16, 28, 40)(8, 23, 35, 47, 11, 24, 36, 48, 12, 20, 32, 44)
	L = (1, 27)(2, 30)(3, 25)(4, 32)(5, 33)(6, 26)(7, 35)(8, 28)(9, 29)(10, 36)(11, 31)(12, 34)(13, 40)(14, 43)(15, 44)(16, 37)(17, 46)(18, 47)(19, 38)(20, 39)(21, 48)(22, 41)(23, 42)(24, 45)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^3, (S * Z)^2, S * A * S * B, Z^-1 * B * Z * A^-1, A^4, A^-2 * Z * A^-2 * Z^-1 ]
Map::
	R = (1, 14, 26, 38, 2, 16, 28, 40, 4, 13, 25, 37)(3, 18, 30, 42, 6, 21, 33, 45, 9, 15, 27, 39)(5, 19, 31, 43, 7, 22, 34, 46, 10, 17, 29, 41)(8, 23, 35, 47, 11, 24, 36, 48, 12, 20, 32, 44)
	L = (1, 27)(2, 30)(3, 32)(4, 33)(5, 25)(6, 35)(7, 26)(8, 29)(9, 36)(10, 28)(11, 31)(12, 34)(13, 41)(14, 43)(15, 37)(16, 46)(17, 44)(18, 38)(19, 47)(20, 39)(21, 40)(22, 48)(23, 42)(24, 45)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = A4 (small group id <12, 3>)
Aut   = S4 (small group id <24, 12>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^3, Z^-1 * A * Z * B, (B * A)^2, S * B * S * A, (S * Z)^2, A * Z * A * Z^-1 * B ]
Map:: non-degenerate
	R = (1, 14, 26, 38, 2, 17, 29, 41, 5, 13, 25, 37)(3, 19, 31, 43, 7, 21, 33, 45, 9, 15, 27, 39)(4, 22, 34, 46, 10, 23, 35, 47, 11, 16, 28, 40)(6, 24, 36, 48, 12, 20, 32, 44, 8, 18, 30, 42)
	L = (1, 27)(2, 30)(3, 25)(4, 32)(5, 35)(6, 26)(7, 34)(8, 28)(9, 36)(10, 31)(11, 29)(12, 33)(13, 40)(14, 43)(15, 44)(16, 37)(17, 48)(18, 46)(19, 38)(20, 39)(21, 47)(22, 42)(23, 45)(24, 41)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E9.11
Transitivity :: VT+
Graph::
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = A4 (small group id <12, 3>)
Aut   = S4 (small group id <24, 12>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^3, (B * A)^2, S * B * S * A, Z^-1 * B * Z * A, (S * Z)^2, B * Z * B * Z^-1 * A ]
Map:: non-degenerate
	R = (1, 14, 26, 38, 2, 17, 29, 41, 5, 13, 25, 37)(3, 20, 32, 44, 8, 22, 34, 46, 10, 15, 27, 39)(4, 18, 30, 42, 6, 23, 35, 47, 11, 16, 28, 40)(7, 24, 36, 48, 12, 21, 33, 45, 9, 19, 31, 43)
	L = (1, 27)(2, 30)(3, 25)(4, 33)(5, 36)(6, 26)(7, 32)(8, 31)(9, 28)(10, 35)(11, 34)(12, 29)(13, 40)(14, 43)(15, 45)(16, 37)(17, 46)(18, 44)(19, 38)(20, 42)(21, 39)(22, 41)(23, 48)(24, 47)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E9.10
Transitivity :: VT+
Graph::
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = A4 (small group id <12, 3>)
Aut   = S4 (small group id <24, 12>)
|r| :: 2
Presentation :: [ S^2, A^2, B * A, Z^3, S * A * S * B, (S * Z)^2, (A * Z^-1)^3 ]
Map::
	R = (1, 14, 26, 38, 2, 16, 28, 40, 4, 13, 25, 37)(3, 18, 30, 42, 6, 19, 31, 43, 7, 15, 27, 39)(5, 21, 33, 45, 9, 22, 34, 46, 10, 17, 29, 41)(8, 24, 36, 48, 12, 23, 35, 47, 11, 20, 32, 44)
	L = (1, 27)(2, 29)(3, 25)(4, 32)(5, 26)(6, 35)(7, 33)(8, 28)(9, 31)(10, 36)(11, 30)(12, 34)(13, 39)(14, 41)(15, 37)(16, 44)(17, 38)(18, 47)(19, 45)(20, 40)(21, 43)(22, 48)(23, 42)(24, 46)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = C2 x ((C4 x C2) : C2) (small group id <32, 22>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (B * A^-1)^2, S * B * S * A, (S * Z)^2, (A * Z * B^-1)^2, A^2 * Z * A^-2 * Z, A^-1 * Z * B * Z * B^-1 * Z * A * Z ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 23, 39, 55, 7, 19, 35, 51)(4, 25, 41, 57, 9, 20, 36, 52)(5, 26, 42, 58, 10, 21, 37, 53)(6, 28, 44, 60, 12, 22, 38, 54)(8, 27, 43, 59, 11, 24, 40, 56)(13, 31, 47, 63, 15, 29, 45, 61)(14, 32, 48, 64, 16, 30, 46, 62)
	L = (1, 35)(2, 37)(3, 40)(4, 33)(5, 43)(6, 34)(7, 45)(8, 36)(9, 46)(10, 47)(11, 38)(12, 48)(13, 41)(14, 39)(15, 44)(16, 42)(17, 51)(18, 53)(19, 56)(20, 49)(21, 59)(22, 50)(23, 61)(24, 52)(25, 62)(26, 63)(27, 54)(28, 64)(29, 57)(30, 55)(31, 60)(32, 58)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x D8 (small group id <16, 11>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Z^2, A^2, B^2, S^2, (B * A)^2, S * B * S * A, (S * Z)^2, (A * Z * B)^2, B * Z * B * Z * A * Z * A * Z ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 23, 39, 55, 7, 19, 35, 51)(4, 25, 41, 57, 9, 20, 36, 52)(5, 26, 42, 58, 10, 21, 37, 53)(6, 28, 44, 60, 12, 22, 38, 54)(8, 27, 43, 59, 11, 24, 40, 56)(13, 31, 47, 63, 15, 29, 45, 61)(14, 32, 48, 64, 16, 30, 46, 62)
	L = (1, 35)(2, 37)(3, 33)(4, 40)(5, 34)(6, 43)(7, 45)(8, 36)(9, 46)(10, 47)(11, 38)(12, 48)(13, 39)(14, 41)(15, 42)(16, 44)(17, 52)(18, 54)(19, 56)(20, 49)(21, 59)(22, 50)(23, 62)(24, 51)(25, 61)(26, 64)(27, 53)(28, 63)(29, 57)(30, 55)(31, 60)(32, 58)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = C2 x (C8 : C2) (small group id <32, 37>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, S * B * S * A, (S * Z)^2, B * Z * A^-1 * Z * B * A^-1, A^2 * Z * B^-1 * Z * B^-1, A^-1 * Z * A * B^-1 * Z * B, B * Z * B * A^-2 * Z, A^3 * B^-2 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 23, 39, 55, 7, 19, 35, 51)(4, 25, 41, 57, 9, 20, 36, 52)(5, 27, 43, 59, 11, 21, 37, 53)(6, 29, 45, 61, 13, 22, 38, 54)(8, 28, 44, 60, 12, 24, 40, 56)(10, 30, 46, 62, 14, 26, 42, 58)(15, 32, 48, 64, 16, 31, 47, 63)
	L = (1, 35)(2, 37)(3, 40)(4, 33)(5, 44)(6, 34)(7, 46)(8, 45)(9, 47)(10, 36)(11, 42)(12, 41)(13, 48)(14, 38)(15, 39)(16, 43)(17, 51)(18, 53)(19, 56)(20, 49)(21, 60)(22, 50)(23, 62)(24, 61)(25, 63)(26, 52)(27, 58)(28, 57)(29, 64)(30, 54)(31, 55)(32, 59)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.16 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D16 (small group id <16, 7>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ Z^2, A^2, S^2, B * A, (S * Z)^2, S * A * S * B, (A * Z)^8 ]
Map::
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 21, 37, 53, 5, 19, 35, 51)(4, 22, 38, 54, 6, 20, 36, 52)(7, 25, 41, 57, 9, 23, 39, 55)(8, 26, 42, 58, 10, 24, 40, 56)(11, 29, 45, 61, 13, 27, 43, 59)(12, 30, 46, 62, 14, 28, 44, 60)(15, 32, 48, 64, 16, 31, 47, 63)
	L = (1, 35)(2, 36)(3, 33)(4, 34)(5, 39)(6, 40)(7, 37)(8, 38)(9, 43)(10, 44)(11, 41)(12, 42)(13, 47)(14, 48)(15, 45)(16, 46)(17, 51)(18, 52)(19, 49)(20, 50)(21, 55)(22, 56)(23, 53)(24, 54)(25, 59)(26, 60)(27, 57)(28, 58)(29, 63)(30, 64)(31, 61)(32, 62)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.17 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D16 (small group id <16, 7>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * B * S * A, A * Z * B^-1 * Z, B^4 * A^-4 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 22, 38, 54, 6, 19, 35, 51)(4, 21, 37, 53, 5, 20, 36, 52)(7, 26, 42, 58, 10, 23, 39, 55)(8, 25, 41, 57, 9, 24, 40, 56)(11, 30, 46, 62, 14, 27, 43, 59)(12, 29, 45, 61, 13, 28, 44, 60)(15, 32, 48, 64, 16, 31, 47, 63)
	L = (1, 35)(2, 37)(3, 39)(4, 33)(5, 41)(6, 34)(7, 43)(8, 36)(9, 45)(10, 38)(11, 47)(12, 40)(13, 48)(14, 42)(15, 44)(16, 46)(17, 51)(18, 53)(19, 55)(20, 49)(21, 57)(22, 50)(23, 59)(24, 52)(25, 61)(26, 54)(27, 63)(28, 56)(29, 64)(30, 58)(31, 60)(32, 62)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.18 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = QD16 (small group id <16, 8>)
Aut   = C2 x QD16 (small group id <32, 40>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (B * A^-1)^2, S * B * S * A, (S * Z)^2, A * Z * A^-1 * B * Z * B^-1, B^-1 * Z * B * Z * A^-1 * Z * B * Z ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 23, 39, 55, 7, 19, 35, 51)(4, 25, 41, 57, 9, 20, 36, 52)(5, 26, 42, 58, 10, 21, 37, 53)(6, 28, 44, 60, 12, 22, 38, 54)(8, 27, 43, 59, 11, 24, 40, 56)(13, 32, 48, 64, 16, 29, 45, 61)(14, 31, 47, 63, 15, 30, 46, 62)
	L = (1, 35)(2, 37)(3, 40)(4, 33)(5, 43)(6, 34)(7, 45)(8, 36)(9, 46)(10, 47)(11, 38)(12, 48)(13, 41)(14, 39)(15, 44)(16, 42)(17, 51)(18, 53)(19, 56)(20, 49)(21, 59)(22, 50)(23, 61)(24, 52)(25, 62)(26, 63)(27, 54)(28, 64)(29, 57)(30, 55)(31, 60)(32, 58)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.19 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = QD16 (small group id <16, 8>)
Aut   = C2 x QD16 (small group id <32, 40>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, S * B * S * A, (S * Z)^2, A * Z * B^2 * A^-1 * Z, B * A^-1 * B * Z * B^-1 * Z, B^2 * Z * A^-2 * Z, B * Z * B * A^-1 * Z * A^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 23, 39, 55, 7, 19, 35, 51)(4, 25, 41, 57, 9, 20, 36, 52)(5, 27, 43, 59, 11, 21, 37, 53)(6, 29, 45, 61, 13, 22, 38, 54)(8, 30, 46, 62, 14, 24, 40, 56)(10, 28, 44, 60, 12, 26, 42, 58)(15, 32, 48, 64, 16, 31, 47, 63)
	L = (1, 35)(2, 37)(3, 40)(4, 33)(5, 44)(6, 34)(7, 47)(8, 43)(9, 46)(10, 36)(11, 48)(12, 39)(13, 42)(14, 38)(15, 41)(16, 45)(17, 51)(18, 53)(19, 56)(20, 49)(21, 60)(22, 50)(23, 63)(24, 59)(25, 62)(26, 52)(27, 64)(28, 55)(29, 58)(30, 54)(31, 57)(32, 61)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.20 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C2) : C2 (small group id <16, 13>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Z^2, A^2, B^2, S^2, (S * Z)^2, S * B * S * A, A * B * A * Z * B * Z, B * Z * B * A * Z * A ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 23, 39, 55, 7, 19, 35, 51)(4, 25, 41, 57, 9, 20, 36, 52)(5, 27, 43, 59, 11, 21, 37, 53)(6, 29, 45, 61, 13, 22, 38, 54)(8, 28, 44, 60, 12, 24, 40, 56)(10, 30, 46, 62, 14, 26, 42, 58)(15, 32, 48, 64, 16, 31, 47, 63)
	L = (1, 35)(2, 37)(3, 33)(4, 42)(5, 34)(6, 46)(7, 47)(8, 45)(9, 44)(10, 36)(11, 48)(12, 41)(13, 40)(14, 38)(15, 39)(16, 43)(17, 52)(18, 54)(19, 56)(20, 49)(21, 60)(22, 50)(23, 62)(24, 51)(25, 63)(26, 59)(27, 58)(28, 53)(29, 64)(30, 55)(31, 57)(32, 61)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.21 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D16 (small group id <16, 7>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 4
Presentation :: [ Z^2, A^2, B^2, A * S^2 * B, (S * B)^2, B * S^2 * A, (B * A)^2, S^-1 * Z * S * Z, B * Z * B * A * Z * A, B * Z * B * Z * B * Z * A * Z ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 23, 39, 55, 7, 19, 35, 51)(4, 25, 41, 57, 9, 20, 36, 52)(5, 26, 42, 58, 10, 21, 37, 53)(6, 28, 44, 60, 12, 22, 38, 54)(8, 27, 43, 59, 11, 24, 40, 56)(13, 32, 48, 64, 16, 29, 45, 61)(14, 31, 47, 63, 15, 30, 46, 62)
	L = (1, 35)(2, 37)(3, 33)(4, 40)(5, 34)(6, 43)(7, 45)(8, 36)(9, 46)(10, 47)(11, 38)(12, 48)(13, 39)(14, 41)(15, 42)(16, 44)(17, 52)(18, 54)(19, 56)(20, 49)(21, 59)(22, 50)(23, 62)(24, 51)(25, 61)(26, 64)(27, 53)(28, 63)(29, 57)(30, 55)(31, 60)(32, 58)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.22 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D16 (small group id <16, 7>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 4
Presentation :: [ Z^2, B^3 * A^-1, B^-2 * A^-2, B^-1 * S^2 * A^-1, S^-1 * Z * S * Z, S^-1 * A * S * B, S^-1 * B * S * A, (A * Z)^2, (B * Z)^2, B^-2 * Z * B * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 25, 41, 57, 9, 19, 35, 51)(4, 26, 42, 58, 10, 20, 36, 52)(5, 23, 39, 55, 7, 21, 37, 53)(6, 24, 40, 56, 8, 22, 38, 54)(11, 32, 48, 64, 16, 27, 43, 59)(12, 31, 47, 63, 15, 28, 44, 60)(13, 30, 46, 62, 14, 29, 45, 61)
	L = (1, 35)(2, 39)(3, 43)(4, 44)(5, 33)(6, 45)(7, 46)(8, 47)(9, 34)(10, 48)(11, 36)(12, 38)(13, 37)(14, 40)(15, 42)(16, 41)(17, 54)(18, 58)(19, 61)(20, 49)(21, 60)(22, 59)(23, 64)(24, 50)(25, 63)(26, 62)(27, 53)(28, 51)(29, 52)(30, 57)(31, 55)(32, 56)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.23 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, A^4, S * A * S * B, (S * Z)^2, A * Z * A^-2 * Z * A, A^-1 * Z * A^-1 * Z * A^-1 * Z * A * Z ]
Map::
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 23, 39, 55, 7, 19, 35, 51)(4, 25, 41, 57, 9, 20, 36, 52)(5, 26, 42, 58, 10, 21, 37, 53)(6, 28, 44, 60, 12, 22, 38, 54)(8, 27, 43, 59, 11, 24, 40, 56)(13, 32, 48, 64, 16, 29, 45, 61)(14, 31, 47, 63, 15, 30, 46, 62)
	L = (1, 35)(2, 37)(3, 40)(4, 33)(5, 43)(6, 34)(7, 45)(8, 36)(9, 46)(10, 47)(11, 38)(12, 48)(13, 41)(14, 39)(15, 44)(16, 42)(17, 52)(18, 54)(19, 49)(20, 56)(21, 50)(22, 59)(23, 62)(24, 51)(25, 61)(26, 64)(27, 53)(28, 63)(29, 55)(30, 57)(31, 58)(32, 60)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.24 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-2 * B * A^-1, (B^-1 * A^-1)^2, A^-1 * B^3, S * A * S * B, (S * Z)^2, B * Z * A^-1 * Z, A^-1 * B^-2 * A^-1, B^-2 * Z * B * A^-1 * Z, A^-1 * B^-1 * Z * B^-1 * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 17, 33, 49)(3, 24, 40, 56, 8, 19, 35, 51)(4, 23, 39, 55, 7, 20, 36, 52)(5, 26, 42, 58, 10, 21, 37, 53)(6, 25, 41, 57, 9, 22, 38, 54)(11, 32, 48, 64, 16, 27, 43, 59)(12, 31, 47, 63, 15, 28, 44, 60)(13, 30, 46, 62, 14, 29, 45, 61)
	L = (1, 35)(2, 39)(3, 43)(4, 44)(5, 33)(6, 45)(7, 46)(8, 47)(9, 34)(10, 48)(11, 36)(12, 38)(13, 37)(14, 40)(15, 42)(16, 41)(17, 54)(18, 58)(19, 61)(20, 49)(21, 60)(22, 59)(23, 64)(24, 50)(25, 63)(26, 62)(27, 53)(28, 51)(29, 52)(30, 57)(31, 55)(32, 56)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.25 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5})
Quotient :: toric
Aut^+ = C5 : C4 (small group id <20, 3>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 2
Presentation :: [ S^2, Z * B * A, A * Z^-1 * B * Z, (A^-1 * B)^2, (S * Z)^2, S * A * S * B, Z^2 * B^-1 * A^-1, A^4 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 28, 48, 68, 8, 38, 58, 78, 18, 25, 45, 65, 5, 21, 41, 61)(3, 27, 47, 67, 7, 29, 49, 69, 9, 31, 51, 71, 11, 33, 53, 73, 13, 23, 43, 63)(4, 30, 50, 70, 10, 37, 57, 77, 17, 26, 46, 66, 6, 36, 56, 76, 16, 24, 44, 64)(12, 34, 54, 74, 14, 39, 59, 79, 19, 35, 55, 75, 15, 40, 60, 80, 20, 32, 52, 72)
	L = (1, 43)(2, 49)(3, 52)(4, 45)(5, 51)(6, 41)(7, 59)(8, 53)(9, 60)(10, 42)(11, 54)(12, 46)(13, 55)(14, 44)(15, 56)(16, 48)(17, 58)(18, 47)(19, 57)(20, 50)(21, 67)(22, 71)(23, 74)(24, 61)(25, 73)(26, 62)(27, 75)(28, 63)(29, 72)(30, 68)(31, 79)(32, 76)(33, 80)(34, 70)(35, 64)(36, 78)(37, 65)(38, 69)(39, 66)(40, 77)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E9.26
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 20
	degree seq :: [ 20^4 ]

E9.26 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5})
Quotient :: toric
Aut^+ = C5 : C4 (small group id <20, 3>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 2
Presentation :: [ Z, S^2, (S * Z)^2, S * A * S * B, (A^-1 * B)^2, A^4, B^4, A^-1 * B^2 * A * B * A^-1, (Z^-1 * A^-1 * B^-1)^5 ]
Map:: non-degenerate
	R = (1, 21, 41, 61)(2, 22, 42, 62)(3, 23, 43, 63)(4, 24, 44, 64)(5, 25, 45, 65)(6, 26, 46, 66)(7, 27, 47, 67)(8, 28, 48, 68)(9, 29, 49, 69)(10, 30, 50, 70)(11, 31, 51, 71)(12, 32, 52, 72)(13, 33, 53, 73)(14, 34, 54, 74)(15, 35, 55, 75)(16, 36, 56, 76)(17, 37, 57, 77)(18, 38, 58, 78)(19, 39, 59, 79)(20, 40, 60, 80)
	L = (1, 42)(2, 46)(3, 49)(4, 41)(5, 51)(6, 44)(7, 56)(8, 43)(9, 58)(10, 55)(11, 59)(12, 54)(13, 45)(14, 60)(15, 47)(16, 50)(17, 52)(18, 48)(19, 53)(20, 57)(21, 65)(22, 68)(23, 61)(24, 72)(25, 70)(26, 75)(27, 62)(28, 77)(29, 76)(30, 63)(31, 64)(32, 78)(33, 74)(34, 66)(35, 73)(36, 80)(37, 67)(38, 71)(39, 69)(40, 79)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E9.25
Transitivity :: VT+
Graph:: simple bipartite
	v = 20 e = 40 f = 4
	degree seq :: [ 4^20 ]

E9.27 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^-3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 11, 2, 12, 6, 16, 5, 15, 8, 18, 10, 20, 9, 19, 3, 13, 7, 17, 4, 14)(21, 31, 23, 33, 28, 38, 22, 32, 27, 37, 30, 40, 26, 36, 24, 34, 29, 39, 25, 35)
	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) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 20 f = 2
	degree seq :: [ 20^2 ]

E9.28 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3^3, Y2 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1, Y1^-1), Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 8, 20, 5, 17)(3, 15, 9, 21, 7, 19, 12, 24)(4, 16, 10, 22, 6, 18, 11, 23)(25, 37, 27, 39, 28, 40, 32, 44, 31, 43, 30, 42)(26, 38, 33, 45, 34, 46, 29, 41, 36, 48, 35, 47)
	L = (1, 28)(2, 34)(3, 32)(4, 31)(5, 35)(6, 27)(7, 25)(8, 30)(9, 29)(10, 36)(11, 33)(12, 26)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.29
Graph:: bipartite
	v = 5 e = 24 f = 3
	degree seq :: [ 8^3, 12^2 ]

E9.29 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 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, Y1 * Y2^2, Y3^3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 7, 19, 9, 21, 4, 16, 5, 17)(3, 15, 6, 18, 8, 20, 12, 24, 10, 22, 11, 23)(25, 37, 27, 39, 29, 41, 35, 47, 28, 40, 34, 46, 33, 45, 36, 48, 31, 43, 32, 44, 26, 38, 30, 42)
	L = (1, 28)(2, 29)(3, 34)(4, 31)(5, 33)(6, 35)(7, 25)(8, 27)(9, 26)(10, 32)(11, 36)(12, 30)(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, 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 E9.28
Graph:: bipartite
	v = 3 e = 24 f = 5
	degree seq :: [ 12^2, 24 ]

E9.30 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 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^-1 * Y2^-3, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 13, 2, 14, 6, 18, 4, 16)(3, 15, 7, 19, 11, 23, 10, 22)(5, 17, 8, 20, 12, 24, 9, 21)(25, 37, 27, 39, 33, 45, 28, 40, 34, 46, 36, 48, 30, 42, 35, 47, 32, 44, 26, 38, 31, 43, 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) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 8^3, 24 ]

E9.31 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 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, R^2, Y1^-1 * Y2^3, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 13, 2, 14, 6, 18, 4, 16)(3, 15, 7, 19, 11, 23, 9, 21)(5, 17, 8, 20, 12, 24, 10, 22)(25, 37, 27, 39, 32, 44, 26, 38, 31, 43, 36, 48, 30, 42, 35, 47, 34, 46, 28, 40, 33, 45, 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) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 8^3, 24 ]

E9.32 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y2^-1 * Y1^-1 * Y2^-2, Y2^-3 * Y1^-1, (Y1^-1, Y2^-1), (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 4, 16, 5, 17)(3, 15, 7, 19, 10, 22, 11, 23)(6, 18, 8, 20, 12, 24, 9, 21)(25, 37, 27, 39, 33, 45, 29, 41, 35, 47, 36, 48, 28, 40, 34, 46, 32, 44, 26, 38, 31, 43, 30, 42)
	L = (1, 28)(2, 29)(3, 34)(4, 25)(5, 26)(6, 36)(7, 35)(8, 33)(9, 32)(10, 27)(11, 31)(12, 30)(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, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 8^3, 24 ]

E9.33 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y2 * Y1^-1 * Y2^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (Y1^-1, Y2^-1), (Y2^-1 * R)^2, Y2^-2 * Y1^-1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 4, 16, 5, 17)(3, 15, 7, 19, 9, 21, 10, 22)(6, 18, 8, 20, 11, 23, 12, 24)(25, 37, 27, 39, 32, 44, 26, 38, 31, 43, 35, 47, 28, 40, 33, 45, 36, 48, 29, 41, 34, 46, 30, 42)
	L = (1, 28)(2, 29)(3, 33)(4, 25)(5, 26)(6, 35)(7, 34)(8, 36)(9, 27)(10, 31)(11, 30)(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) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 8^3, 24 ]

E9.34 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y1^-1 * Y2, Y2^-1 * Y3^2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^-1, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y2^-1 * Y1^-1, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 5, 17)(3, 15, 8, 20, 6, 18)(4, 16, 9, 21, 12, 24)(7, 19, 10, 22, 11, 23)(25, 37, 27, 39, 26, 38, 32, 44, 29, 41, 30, 42)(28, 40, 35, 47, 33, 45, 31, 43, 36, 48, 34, 46)
	L = (1, 28)(2, 33)(3, 35)(4, 32)(5, 36)(6, 34)(7, 25)(8, 31)(9, 30)(10, 26)(11, 29)(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) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.41
Graph:: bipartite
	v = 6 e = 24 f = 2
	degree seq :: [ 6^4, 12^2 ]

E9.35 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1 * Y2, Y1^-2 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 7, 19, 4, 16, 9, 21, 5, 17)(3, 15, 8, 20, 11, 23, 10, 22, 12, 24, 6, 18)(25, 37, 27, 39, 26, 38, 32, 44, 31, 43, 35, 47, 28, 40, 34, 46, 33, 45, 36, 48, 29, 41, 30, 42)
	L = (1, 28)(2, 33)(3, 34)(4, 25)(5, 31)(6, 35)(7, 29)(8, 36)(9, 26)(10, 27)(11, 30)(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) :: { ( 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 E9.39
Graph:: bipartite
	v = 3 e = 24 f = 5
	degree seq :: [ 12^2, 24 ]

E9.36 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y1^-3 * Y3, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2)^2, (R * Y3)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 7, 19, 4, 16, 8, 20, 5, 17)(3, 15, 6, 18, 9, 21, 10, 22, 12, 24, 11, 23)(25, 37, 27, 39, 29, 41, 35, 47, 32, 44, 36, 48, 28, 40, 34, 46, 31, 43, 33, 45, 26, 38, 30, 42)
	L = (1, 28)(2, 32)(3, 34)(4, 25)(5, 31)(6, 36)(7, 29)(8, 26)(9, 35)(10, 27)(11, 33)(12, 30)(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) :: { ( 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 E9.38
Graph:: bipartite
	v = 3 e = 24 f = 5
	degree seq :: [ 12^2, 24 ]

E9.37 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^-1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	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, 26)(2, 30)(3, 31)(4, 25)(5, 27)(6, 34)(7, 35)(8, 28)(9, 29)(10, 32)(11, 36)(12, 33)(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) :: { ( 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 E9.40
Graph:: bipartite
	v = 3 e = 24 f = 5
	degree seq :: [ 12^2, 24 ]

E9.38 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y3 * Y1^2 * Y2, (Y2^-1, Y1^-1), Y2^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y3)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 7, 19, 12, 24, 3, 15, 8, 20, 4, 16, 9, 21, 6, 18, 10, 22, 11, 23, 5, 17)(25, 37, 27, 39, 30, 42)(26, 38, 32, 44, 34, 46)(28, 40, 35, 47, 31, 43)(29, 41, 36, 48, 33, 45)
	L = (1, 28)(2, 33)(3, 35)(4, 25)(5, 32)(6, 31)(7, 30)(8, 29)(9, 26)(10, 36)(11, 27)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.36
Graph:: bipartite
	v = 5 e = 24 f = 3
	degree seq :: [ 6^4, 24 ]

E9.39 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y2 * Y3 * Y1^-2, Y3 * Y2 * Y1^-2, Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, Y2 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 7, 19, 12, 24, 6, 18, 10, 22, 4, 16, 9, 21, 3, 15, 8, 20, 11, 23, 5, 17)(25, 37, 27, 39, 30, 42)(26, 38, 32, 44, 34, 46)(28, 40, 31, 43, 35, 47)(29, 41, 33, 45, 36, 48)
	L = (1, 28)(2, 33)(3, 31)(4, 25)(5, 34)(6, 35)(7, 27)(8, 36)(9, 26)(10, 29)(11, 30)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.35
Graph:: bipartite
	v = 5 e = 24 f = 3
	degree seq :: [ 6^4, 24 ]

E9.40 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y2^3, Y2 * Y3^-2, (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y3)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 7, 19, 10, 22, 6, 18, 9, 21, 11, 23, 12, 24, 3, 15, 8, 20, 4, 16, 5, 17)(25, 37, 27, 39, 30, 42)(26, 38, 32, 44, 33, 45)(28, 40, 35, 47, 31, 43)(29, 41, 36, 48, 34, 46)
	L = (1, 28)(2, 29)(3, 35)(4, 27)(5, 32)(6, 31)(7, 25)(8, 36)(9, 34)(10, 26)(11, 30)(12, 33)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.37
Graph:: bipartite
	v = 5 e = 24 f = 3
	degree seq :: [ 6^4, 24 ]

E9.41 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1^-1)^2, Y3^-1 * Y2^2 * Y1^-1, Y2^-1 * Y3^-2 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-1, (Y3^-1, Y1^-1), Y3^-1 * Y1^-3, Y2 * Y3 * Y1^-2, Y3 * Y1^-1 * Y2 * Y1^-1, Y3^4, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y2^-1, Y3^2 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 8, 20, 7, 19, 12, 24, 3, 15, 9, 21, 6, 18, 11, 23, 4, 16, 10, 22, 5, 17)(25, 37, 27, 39, 34, 46, 31, 43, 35, 47, 26, 38, 33, 45, 29, 41, 36, 48, 28, 40, 32, 44, 30, 42)
	L = (1, 28)(2, 34)(3, 32)(4, 33)(5, 35)(6, 36)(7, 25)(8, 29)(9, 31)(10, 30)(11, 27)(12, 26)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.34
Graph:: bipartite
	v = 2 e = 24 f = 6
	degree seq :: [ 24^2 ]

E9.42 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^7, Y3^14, (Y3 * Y2^-1)^7 ]
Map:: non-degenerate
	R = (1, 15, 2, 16)(3, 17, 5, 19)(4, 18, 6, 20)(7, 21, 9, 23)(8, 22, 10, 24)(11, 25, 13, 27)(12, 26, 14, 28)(29, 43, 31, 45, 35, 49, 39, 53, 40, 54, 36, 50, 32, 46)(30, 44, 33, 47, 37, 51, 41, 55, 42, 56, 38, 52, 34, 48)
	L = (1, 32)(2, 34)(3, 29)(4, 36)(5, 30)(6, 38)(7, 31)(8, 40)(9, 33)(10, 42)(11, 35)(12, 39)(13, 37)(14, 41)(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) :: { ( 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E9.53
Graph:: bipartite
	v = 9 e = 28 f = 3
	degree seq :: [ 4^7, 14^2 ]

E9.43 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1 ]
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, 13, 27)(12, 26, 14, 28)(29, 43, 31, 45, 32, 46, 39, 53, 40, 54, 34, 48, 33, 47)(30, 44, 35, 49, 36, 50, 41, 55, 42, 56, 38, 52, 37, 51)
	L = (1, 32)(2, 36)(3, 39)(4, 40)(5, 31)(6, 29)(7, 41)(8, 42)(9, 35)(10, 30)(11, 34)(12, 33)(13, 38)(14, 37)(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) :: { ( 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E9.54
Graph:: bipartite
	v = 9 e = 28 f = 3
	degree seq :: [ 4^7, 14^2 ]

E9.44 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, Y2 * Y3^-3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1 ]
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, 13, 27)(12, 26, 14, 28)(29, 43, 31, 45, 34, 48, 39, 53, 40, 54, 32, 46, 33, 47)(30, 44, 35, 49, 38, 52, 41, 55, 42, 56, 36, 50, 37, 51)
	L = (1, 32)(2, 36)(3, 33)(4, 39)(5, 40)(6, 29)(7, 37)(8, 41)(9, 42)(10, 30)(11, 31)(12, 34)(13, 35)(14, 38)(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) :: { ( 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E9.52
Graph:: bipartite
	v = 9 e = 28 f = 3
	degree seq :: [ 4^7, 14^2 ]

E9.45 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-3, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2 ]
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, 13, 27)(12, 26, 14, 28)(29, 43, 31, 45, 39, 53, 32, 46, 34, 48, 40, 54, 33, 47)(30, 44, 35, 49, 41, 55, 36, 50, 38, 52, 42, 56, 37, 51)
	L = (1, 32)(2, 36)(3, 34)(4, 33)(5, 39)(6, 29)(7, 38)(8, 37)(9, 41)(10, 30)(11, 40)(12, 31)(13, 42)(14, 35)(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) :: { ( 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E9.55
Graph:: bipartite
	v = 9 e = 28 f = 3
	degree seq :: [ 4^7, 14^2 ]

E9.46 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y2^-1, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1 ]
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, 13, 27)(12, 26, 14, 28)(29, 43, 31, 45, 39, 53, 34, 48, 32, 46, 40, 54, 33, 47)(30, 44, 35, 49, 41, 55, 38, 52, 36, 50, 42, 56, 37, 51)
	L = (1, 32)(2, 36)(3, 40)(4, 31)(5, 34)(6, 29)(7, 42)(8, 35)(9, 38)(10, 30)(11, 33)(12, 39)(13, 37)(14, 41)(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) :: { ( 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E9.51
Graph:: bipartite
	v = 9 e = 28 f = 3
	degree seq :: [ 4^7, 14^2 ]

E9.47 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y3^2 * Y2, Y1 * Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y3^-1) ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 3, 17, 8, 22, 11, 25, 6, 20, 5, 19)(4, 18, 9, 23, 7, 21, 10, 24, 12, 26, 14, 28, 13, 27)(29, 43, 31, 45, 39, 53, 33, 47, 30, 44, 36, 50, 34, 48)(32, 46, 35, 49, 40, 54, 41, 55, 37, 51, 38, 52, 42, 56)
	L = (1, 32)(2, 37)(3, 35)(4, 34)(5, 41)(6, 42)(7, 29)(8, 38)(9, 33)(10, 30)(11, 40)(12, 31)(13, 39)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.50
Graph:: bipartite
	v = 4 e = 28 f = 8
	degree seq :: [ 14^4 ]

E9.48 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2, Y2 * Y3^-2, (R * Y3)^2, Y1 * Y2^-3, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 6, 20, 9, 23, 12, 26, 3, 17, 5, 19)(4, 18, 8, 22, 7, 21, 10, 24, 14, 28, 11, 25, 13, 27)(29, 43, 31, 45, 37, 51, 30, 44, 33, 47, 40, 54, 34, 48)(32, 46, 39, 53, 38, 52, 36, 50, 41, 55, 42, 56, 35, 49)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 41)(6, 35)(7, 29)(8, 33)(9, 38)(10, 30)(11, 37)(12, 42)(13, 40)(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) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E9.49
Graph:: bipartite
	v = 4 e = 28 f = 8
	degree seq :: [ 14^4 ]

E9.49 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2 * Y1^3 * Y2 * Y3^-1, Y1^-2 * Y2 * Y3^-1 * Y1^-4, (Y3 * Y2)^7, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 5, 19, 9, 23, 13, 27, 11, 25, 7, 21, 3, 17, 6, 20, 10, 24, 14, 28, 12, 26, 8, 22, 4, 18)(29, 43, 31, 45)(30, 44, 34, 48)(32, 46, 35, 49)(33, 47, 38, 52)(36, 50, 39, 53)(37, 51, 42, 56)(40, 54, 41, 55)
	L = (1, 30)(2, 33)(3, 34)(4, 29)(5, 37)(6, 38)(7, 31)(8, 32)(9, 41)(10, 42)(11, 35)(12, 36)(13, 39)(14, 40)(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) :: { ( 14^4 ), ( 14^28 ) }
Outer automorphisms :: reflexible
Dual of E9.48
Graph:: bipartite
	v = 8 e = 28 f = 4
	degree seq :: [ 4^7, 28 ]

E9.50 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^-1, Y3^-3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^5 * Y3 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 7, 21, 13, 27, 12, 26, 6, 20, 10, 24, 3, 17, 8, 22, 4, 18, 9, 23, 14, 28, 11, 25, 5, 19)(29, 43, 31, 45)(30, 44, 36, 50)(32, 46, 35, 49)(33, 47, 38, 52)(34, 48, 39, 53)(37, 51, 41, 55)(40, 54, 42, 56)
	L = (1, 32)(2, 37)(3, 35)(4, 40)(5, 36)(6, 29)(7, 42)(8, 41)(9, 34)(10, 30)(11, 31)(12, 33)(13, 39)(14, 38)(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) :: { ( 14^4 ), ( 14^28 ) }
Outer automorphisms :: reflexible
Dual of E9.47
Graph:: bipartite
	v = 8 e = 28 f = 4
	degree seq :: [ 4^7, 28 ]

E9.51 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^2 * Y2^-2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^4, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 6, 20, 11, 25, 13, 27, 9, 23, 4, 18)(3, 17, 7, 21, 12, 26, 14, 28, 10, 24, 5, 19, 8, 22)(29, 43, 31, 45, 34, 48, 40, 54, 41, 55, 38, 52, 32, 46, 36, 50, 30, 44, 35, 49, 39, 53, 42, 56, 37, 51, 33, 47)
	L = (1, 30)(2, 34)(3, 35)(4, 29)(5, 36)(6, 39)(7, 40)(8, 31)(9, 32)(10, 33)(11, 41)(12, 42)(13, 37)(14, 38)(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, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 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 E9.46
Graph:: bipartite
	v = 3 e = 28 f = 9
	degree seq :: [ 14^2, 28 ]

E9.52 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1 * Y2^-2, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 8, 22, 7, 21, 4, 18, 10, 24, 5, 19)(3, 17, 9, 23, 14, 28, 12, 26, 11, 25, 13, 27, 6, 20)(29, 43, 31, 45, 30, 44, 37, 51, 36, 50, 42, 56, 35, 49, 40, 54, 32, 46, 39, 53, 38, 52, 41, 55, 33, 47, 34, 48)
	L = (1, 32)(2, 38)(3, 39)(4, 30)(5, 35)(6, 40)(7, 29)(8, 33)(9, 41)(10, 36)(11, 37)(12, 31)(13, 42)(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) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 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 E9.44
Graph:: bipartite
	v = 3 e = 28 f = 9
	degree seq :: [ 14^2, 28 ]

E9.53 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2, Y1 * Y2^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y1^-3 * Y3, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 8, 22, 4, 18, 7, 21, 10, 24, 5, 19)(3, 17, 6, 20, 9, 23, 11, 25, 13, 27, 14, 28, 12, 26)(29, 43, 31, 45, 33, 47, 40, 54, 38, 52, 42, 56, 35, 49, 41, 55, 32, 46, 39, 53, 36, 50, 37, 51, 30, 44, 34, 48)
	L = (1, 32)(2, 35)(3, 39)(4, 33)(5, 36)(6, 41)(7, 29)(8, 38)(9, 42)(10, 30)(11, 40)(12, 37)(13, 31)(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) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 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 E9.42
Graph:: bipartite
	v = 3 e = 28 f = 9
	degree seq :: [ 14^2, 28 ]

E9.54 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y2^2 * Y3^-2, (Y1, Y2^-1), Y1 * Y3^-1 * Y2^-2, (Y3, Y2^-1), (R * Y3)^2, Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 7, 21, 10, 24, 13, 27, 4, 18, 5, 19)(3, 17, 8, 22, 12, 26, 14, 28, 6, 20, 9, 23, 11, 25)(29, 43, 31, 45, 38, 52, 42, 56, 33, 47, 39, 53, 35, 49, 40, 54, 32, 46, 37, 51, 30, 44, 36, 50, 41, 55, 34, 48)
	L = (1, 32)(2, 33)(3, 37)(4, 38)(5, 41)(6, 40)(7, 29)(8, 39)(9, 42)(10, 30)(11, 34)(12, 31)(13, 35)(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, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 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 E9.43
Graph:: bipartite
	v = 3 e = 28 f = 9
	degree seq :: [ 14^2, 28 ]

E9.55 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y2^-1 * Y3^2 * Y2^-1, (R * Y3)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y2)^2, (Y3^-1, Y2^-1), Y1 * Y3^3, (Y1^-1, Y2^-1), (R * Y1)^2, Y2^10 * Y1 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 4, 18, 9, 23, 11, 25, 7, 21, 5, 19)(3, 17, 8, 22, 12, 26, 6, 20, 10, 24, 14, 28, 13, 27)(29, 43, 31, 45, 39, 53, 38, 52, 30, 44, 36, 50, 35, 49, 42, 56, 32, 46, 40, 54, 33, 47, 41, 55, 37, 51, 34, 48)
	L = (1, 32)(2, 37)(3, 40)(4, 39)(5, 30)(6, 42)(7, 29)(8, 34)(9, 35)(10, 41)(11, 33)(12, 38)(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, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 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 E9.45
Graph:: bipartite
	v = 3 e = 28 f = 9
	degree seq :: [ 14^2, 28 ]

E9.56 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 5, 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, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^5, (Y3^-1 * Y1^-1)^3, Y3^15 ]
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, 41, 56, 35, 50)(32, 47, 36, 51, 42, 57, 43, 58, 37, 52)(34, 49, 39, 54, 44, 59, 45, 60, 40, 55)
	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 ) }
Outer automorphisms :: reflexible
Dual of E9.57
Graph:: bipartite
	v = 8 e = 30 f = 6
	degree seq :: [ 6^5, 10^3 ]

E9.57 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y2^3, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), Y3 * Y1^-5, (Y3 * Y2^-1)^3, (Y1^-1 * Y3^-1)^5 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 6, 21, 12, 27, 10, 25, 4, 19, 8, 23, 14, 29, 15, 30, 9, 24, 3, 18, 7, 22, 13, 28, 11, 26, 5, 20)(31, 46, 33, 48, 34, 49)(32, 47, 37, 52, 38, 53)(35, 50, 39, 54, 40, 55)(36, 51, 43, 58, 44, 59)(41, 56, 45, 60, 42, 57)
	L = (1, 34)(2, 38)(3, 31)(4, 33)(5, 40)(6, 44)(7, 32)(8, 37)(9, 35)(10, 39)(11, 42)(12, 45)(13, 36)(14, 43)(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, 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 E9.56
Graph:: bipartite
	v = 6 e = 30 f = 8
	degree seq :: [ 6^5, 30 ]

E9.58 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = C4 x D8 (small group id <32, 25>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y1^-1 * Y3^-2 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y3, Y2 * Y1 * Y3^-2, R * Y2 * R * Y1, Y3 * Y2 * Y3^-1 * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-1)^2, Y2^4, Y3^4, Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 9, 25, 7, 23)(2, 18, 10, 26, 6, 22, 12, 28)(3, 19, 13, 29, 5, 21, 14, 30)(8, 24, 15, 31, 11, 27, 16, 32)(33, 34, 40, 37)(35, 41, 38, 43)(36, 44, 47, 45)(39, 42, 48, 46)(49, 51, 56, 54)(50, 57, 53, 59)(52, 62, 63, 58)(55, 61, 64, 60)
	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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.59
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.59 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = C4 x D8 (small group id <32, 25>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y1^-1 * Y3^-2 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y3, Y2 * Y1 * Y3^-2, R * Y2 * R * Y1, Y3 * Y2 * Y3^-1 * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-1)^2, Y2^4, Y3^4, Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 9, 25, 41, 57, 7, 23, 39, 55)(2, 18, 34, 50, 10, 26, 42, 58, 6, 22, 38, 54, 12, 28, 44, 60)(3, 19, 35, 51, 13, 29, 45, 61, 5, 21, 37, 53, 14, 30, 46, 62)(8, 24, 40, 56, 15, 31, 47, 63, 11, 27, 43, 59, 16, 32, 48, 64)
	L = (1, 18)(2, 24)(3, 25)(4, 28)(5, 17)(6, 27)(7, 26)(8, 21)(9, 22)(10, 32)(11, 19)(12, 31)(13, 20)(14, 23)(15, 29)(16, 30)(33, 51)(34, 57)(35, 56)(36, 62)(37, 59)(38, 49)(39, 61)(40, 54)(41, 53)(42, 52)(43, 50)(44, 55)(45, 64)(46, 63)(47, 58)(48, 60)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.58
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.60 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x C4 (small group id <16, 2>)
Aut   = (C4 x C4) : C2 (small group id <32, 34>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, (Y2^-1, Y1), (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 8, 24, 14, 30, 11, 27)(4, 20, 9, 25, 15, 31, 12, 28)(6, 22, 10, 26, 16, 32, 13, 29)(33, 49, 35, 51, 36, 52, 38, 54)(34, 50, 40, 56, 41, 57, 42, 58)(37, 53, 43, 59, 44, 60, 45, 61)(39, 55, 46, 62, 47, 63, 48, 64)
	L = (1, 36)(2, 41)(3, 38)(4, 33)(5, 44)(6, 35)(7, 47)(8, 42)(9, 34)(10, 40)(11, 45)(12, 37)(13, 43)(14, 48)(15, 39)(16, 46)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.61 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y2^-1 * Y3^2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^2 * Y2^-1 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-1, (Y3 * Y1^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y3^4, Y1^4, (Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 9, 25, 7, 23)(2, 18, 10, 26, 6, 22, 12, 28)(3, 19, 13, 29, 5, 21, 14, 30)(8, 24, 15, 31, 11, 27, 16, 32)(33, 34, 40, 37)(35, 41, 38, 43)(36, 45, 47, 44)(39, 46, 48, 42)(49, 51, 56, 54)(50, 57, 53, 59)(52, 58, 63, 62)(55, 60, 64, 61)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.68
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.62 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y2^4, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 3, 19, 9, 25, 5, 21)(2, 18, 7, 23, 14, 30, 8, 24)(4, 20, 11, 27, 15, 31, 10, 26)(6, 22, 12, 28, 16, 32, 13, 29)(33, 34, 38, 36)(35, 40, 44, 42)(37, 39, 45, 43)(41, 46, 48, 47)(49, 50, 54, 52)(51, 56, 60, 58)(53, 55, 61, 59)(57, 62, 64, 63)
	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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.69
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.63 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3 * Y2^-1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y1^4, Y2^4 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 11, 27, 5, 21)(2, 18, 7, 23, 14, 30, 8, 24)(3, 19, 9, 25, 15, 31, 10, 26)(6, 22, 12, 28, 16, 32, 13, 29)(33, 34, 38, 35)(36, 41, 44, 39)(37, 42, 45, 40)(43, 46, 48, 47)(49, 51, 54, 50)(52, 55, 60, 57)(53, 56, 61, 58)(59, 63, 64, 62)
	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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.70
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.64 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^4, Y2^4 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 11, 27, 5, 21)(2, 18, 7, 23, 14, 30, 8, 24)(3, 19, 9, 25, 15, 31, 10, 26)(6, 22, 12, 28, 16, 32, 13, 29)(33, 34, 38, 35)(36, 42, 44, 40)(37, 41, 45, 39)(43, 46, 48, 47)(49, 51, 54, 50)(52, 56, 60, 58)(53, 55, 61, 57)(59, 63, 64, 62)
	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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.71
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.65 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y1 * Y2 * Y3^2, Y2 * Y3^-2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y2^4, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 3, 19, 6, 22, 5, 21)(2, 18, 7, 23, 4, 20, 8, 24)(9, 25, 13, 29, 10, 26, 14, 30)(11, 27, 15, 31, 12, 28, 16, 32)(33, 34, 38, 36)(35, 41, 37, 42)(39, 43, 40, 44)(45, 47, 46, 48)(49, 50, 54, 52)(51, 57, 53, 58)(55, 59, 56, 60)(61, 63, 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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.72
Graph:: bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.66 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 30>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2^-1 * Y3^2 * Y1, Y2 * Y3^-2 * Y1^-1, (R * Y3)^2, Y2^4, Y3^4, R * Y2 * R * Y1, Y1^4, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 6, 22, 5, 21)(2, 18, 7, 23, 3, 19, 8, 24)(9, 25, 13, 29, 10, 26, 14, 30)(11, 27, 15, 31, 12, 28, 16, 32)(33, 34, 38, 35)(36, 41, 37, 42)(39, 43, 40, 44)(45, 47, 46, 48)(49, 51, 54, 50)(52, 58, 53, 57)(55, 60, 56, 59)(61, 64, 62, 63)
	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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.73
Graph:: bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.67 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 30>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^2, Y2^-2 * Y1^-2, Y2 * Y1 * Y3^2, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y3^4, R * Y2 * R * Y1, (Y2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 9, 25, 7, 23)(2, 18, 10, 26, 6, 22, 12, 28)(3, 19, 13, 29, 5, 21, 14, 30)(8, 24, 15, 31, 11, 27, 16, 32)(33, 34, 40, 37)(35, 41, 38, 43)(36, 46, 47, 42)(39, 45, 48, 44)(49, 51, 56, 54)(50, 57, 53, 59)(52, 60, 63, 61)(55, 58, 64, 62)
	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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.74
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.68 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y2^-1 * Y3^2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^2 * Y2^-1 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-1, (Y3 * Y1^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y3^4, Y1^4, (Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 9, 25, 41, 57, 7, 23, 39, 55)(2, 18, 34, 50, 10, 26, 42, 58, 6, 22, 38, 54, 12, 28, 44, 60)(3, 19, 35, 51, 13, 29, 45, 61, 5, 21, 37, 53, 14, 30, 46, 62)(8, 24, 40, 56, 15, 31, 47, 63, 11, 27, 43, 59, 16, 32, 48, 64)
	L = (1, 18)(2, 24)(3, 25)(4, 29)(5, 17)(6, 27)(7, 30)(8, 21)(9, 22)(10, 23)(11, 19)(12, 20)(13, 31)(14, 32)(15, 28)(16, 26)(33, 51)(34, 57)(35, 56)(36, 58)(37, 59)(38, 49)(39, 60)(40, 54)(41, 53)(42, 63)(43, 50)(44, 64)(45, 55)(46, 52)(47, 62)(48, 61)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.61
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.69 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y2^4, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51, 9, 25, 41, 57, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 14, 30, 46, 62, 8, 24, 40, 56)(4, 20, 36, 52, 11, 27, 43, 59, 15, 31, 47, 63, 10, 26, 42, 58)(6, 22, 38, 54, 12, 28, 44, 60, 16, 32, 48, 64, 13, 29, 45, 61)
	L = (1, 18)(2, 22)(3, 24)(4, 17)(5, 23)(6, 20)(7, 29)(8, 28)(9, 30)(10, 19)(11, 21)(12, 26)(13, 27)(14, 32)(15, 25)(16, 31)(33, 50)(34, 54)(35, 56)(36, 49)(37, 55)(38, 52)(39, 61)(40, 60)(41, 62)(42, 51)(43, 53)(44, 58)(45, 59)(46, 64)(47, 57)(48, 63)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.62
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.70 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3 * Y2^-1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y1^4, Y2^4 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 11, 27, 43, 59, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 14, 30, 46, 62, 8, 24, 40, 56)(3, 19, 35, 51, 9, 25, 41, 57, 15, 31, 47, 63, 10, 26, 42, 58)(6, 22, 38, 54, 12, 28, 44, 60, 16, 32, 48, 64, 13, 29, 45, 61)
	L = (1, 18)(2, 22)(3, 17)(4, 25)(5, 26)(6, 19)(7, 20)(8, 21)(9, 28)(10, 29)(11, 30)(12, 23)(13, 24)(14, 32)(15, 27)(16, 31)(33, 51)(34, 49)(35, 54)(36, 55)(37, 56)(38, 50)(39, 60)(40, 61)(41, 52)(42, 53)(43, 63)(44, 57)(45, 58)(46, 59)(47, 64)(48, 62)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.63
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.71 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^4, Y2^4 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 11, 27, 43, 59, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 14, 30, 46, 62, 8, 24, 40, 56)(3, 19, 35, 51, 9, 25, 41, 57, 15, 31, 47, 63, 10, 26, 42, 58)(6, 22, 38, 54, 12, 28, 44, 60, 16, 32, 48, 64, 13, 29, 45, 61)
	L = (1, 18)(2, 22)(3, 17)(4, 26)(5, 25)(6, 19)(7, 21)(8, 20)(9, 29)(10, 28)(11, 30)(12, 24)(13, 23)(14, 32)(15, 27)(16, 31)(33, 51)(34, 49)(35, 54)(36, 56)(37, 55)(38, 50)(39, 61)(40, 60)(41, 53)(42, 52)(43, 63)(44, 58)(45, 57)(46, 59)(47, 64)(48, 62)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.64
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.72 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y1 * Y2 * Y3^2, Y2 * Y3^-2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y2^4, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51, 6, 22, 38, 54, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 4, 20, 36, 52, 8, 24, 40, 56)(9, 25, 41, 57, 13, 29, 45, 61, 10, 26, 42, 58, 14, 30, 46, 62)(11, 27, 43, 59, 15, 31, 47, 63, 12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 22)(3, 25)(4, 17)(5, 26)(6, 20)(7, 27)(8, 28)(9, 21)(10, 19)(11, 24)(12, 23)(13, 31)(14, 32)(15, 30)(16, 29)(33, 50)(34, 54)(35, 57)(36, 49)(37, 58)(38, 52)(39, 59)(40, 60)(41, 53)(42, 51)(43, 56)(44, 55)(45, 63)(46, 64)(47, 62)(48, 61)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.65
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.73 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 30>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2^-1 * Y3^2 * Y1, Y2 * Y3^-2 * Y1^-1, (R * Y3)^2, Y2^4, Y3^4, R * Y2 * R * Y1, Y1^4, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 6, 22, 38, 54, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 3, 19, 35, 51, 8, 24, 40, 56)(9, 25, 41, 57, 13, 29, 45, 61, 10, 26, 42, 58, 14, 30, 46, 62)(11, 27, 43, 59, 15, 31, 47, 63, 12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 22)(3, 17)(4, 25)(5, 26)(6, 19)(7, 27)(8, 28)(9, 21)(10, 20)(11, 24)(12, 23)(13, 31)(14, 32)(15, 30)(16, 29)(33, 51)(34, 49)(35, 54)(36, 58)(37, 57)(38, 50)(39, 60)(40, 59)(41, 52)(42, 53)(43, 55)(44, 56)(45, 64)(46, 63)(47, 61)(48, 62)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.66
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.74 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 30>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^2, Y2^-2 * Y1^-2, Y2 * Y1 * Y3^2, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y3^4, R * Y2 * R * Y1, (Y2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 9, 25, 41, 57, 7, 23, 39, 55)(2, 18, 34, 50, 10, 26, 42, 58, 6, 22, 38, 54, 12, 28, 44, 60)(3, 19, 35, 51, 13, 29, 45, 61, 5, 21, 37, 53, 14, 30, 46, 62)(8, 24, 40, 56, 15, 31, 47, 63, 11, 27, 43, 59, 16, 32, 48, 64)
	L = (1, 18)(2, 24)(3, 25)(4, 30)(5, 17)(6, 27)(7, 29)(8, 21)(9, 22)(10, 20)(11, 19)(12, 23)(13, 32)(14, 31)(15, 26)(16, 28)(33, 51)(34, 57)(35, 56)(36, 60)(37, 59)(38, 49)(39, 58)(40, 54)(41, 53)(42, 64)(43, 50)(44, 63)(45, 52)(46, 55)(47, 61)(48, 62)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.67
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.75 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, (Y1 * Y2^-1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 11, 27, 14, 30, 10, 26)(4, 20, 9, 25, 15, 31, 12, 28)(6, 22, 13, 29, 16, 32, 8, 24)(33, 49, 35, 51, 36, 52, 38, 54)(34, 50, 40, 56, 41, 57, 42, 58)(37, 53, 45, 61, 44, 60, 43, 59)(39, 55, 46, 62, 47, 63, 48, 64)
	L = (1, 36)(2, 41)(3, 38)(4, 33)(5, 44)(6, 35)(7, 47)(8, 42)(9, 34)(10, 40)(11, 45)(12, 37)(13, 43)(14, 48)(15, 39)(16, 46)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.76 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 17, 2, 18, 6, 22, 4, 20)(3, 19, 8, 24, 12, 28, 10, 26)(5, 21, 7, 23, 13, 29, 11, 27)(9, 25, 14, 30, 16, 32, 15, 31)(33, 49, 35, 51, 41, 57, 37, 53)(34, 50, 39, 55, 46, 62, 40, 56)(36, 52, 43, 59, 47, 63, 42, 58)(38, 54, 44, 60, 48, 64, 45, 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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.77 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 10, 26, 14, 30, 11, 27)(4, 20, 9, 25, 15, 31, 12, 28)(6, 22, 8, 24, 16, 32, 13, 29)(33, 49, 35, 51, 36, 52, 38, 54)(34, 50, 40, 56, 41, 57, 42, 58)(37, 53, 45, 61, 44, 60, 43, 59)(39, 55, 46, 62, 47, 63, 48, 64)
	L = (1, 36)(2, 41)(3, 38)(4, 33)(5, 44)(6, 35)(7, 47)(8, 42)(9, 34)(10, 40)(11, 45)(12, 37)(13, 43)(14, 48)(15, 39)(16, 46)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.78 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y2^4, (Y2^-1 * R)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 4, 20, 5, 21)(3, 19, 8, 24, 10, 26, 11, 27)(6, 22, 7, 23, 12, 28, 13, 29)(9, 25, 14, 30, 15, 31, 16, 32)(33, 49, 35, 51, 41, 57, 38, 54)(34, 50, 39, 55, 46, 62, 40, 56)(36, 52, 42, 58, 47, 63, 44, 60)(37, 53, 45, 61, 48, 64, 43, 59)
	L = (1, 36)(2, 37)(3, 42)(4, 33)(5, 34)(6, 44)(7, 45)(8, 43)(9, 47)(10, 35)(11, 40)(12, 38)(13, 39)(14, 48)(15, 41)(16, 46)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.79 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y1 * Y3, (Y2^-1 * R)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y2^4, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y1^-2 * Y2^2 * Y3, Y3 * Y1 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 10, 26, 15, 31, 13, 29)(4, 20, 9, 25, 11, 27, 14, 30)(6, 22, 8, 24, 12, 28, 16, 32)(33, 49, 35, 51, 43, 59, 38, 54)(34, 50, 40, 56, 46, 62, 42, 58)(36, 52, 44, 60, 39, 55, 47, 63)(37, 53, 48, 64, 41, 57, 45, 61)
	L = (1, 36)(2, 41)(3, 44)(4, 33)(5, 46)(6, 47)(7, 43)(8, 45)(9, 34)(10, 48)(11, 39)(12, 35)(13, 40)(14, 37)(15, 38)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.80 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1 * Y2^-1, Y2 * Y1^3, (R * Y3)^2, Y2 * Y3^2 * Y1, R * Y1 * R * Y2, Y2^4, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 3, 19, 6, 22, 5, 21)(2, 18, 7, 23, 4, 20, 8, 24)(9, 25, 13, 29, 10, 26, 14, 30)(11, 27, 15, 31, 12, 28, 16, 32)(33, 34, 38, 36)(35, 41, 37, 42)(39, 43, 40, 44)(45, 48, 46, 47)(49, 50, 54, 52)(51, 57, 53, 58)(55, 59, 56, 60)(61, 64, 62, 63)
	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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.82
Graph:: bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.81 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C2 x Q8) : C2 (small group id <32, 44>)
|r| :: 4
Presentation :: [ Y2^-1 * Y1^-1, Y3 * Y1^-2 * Y3, Y2 * Y3^-2 * Y1^-1, Y3 * R^2 * Y3, Y3^4, Y1^4, Y2^4, R^-1 * Y3 * R * Y3, R^-1 * Y2 * R * Y1, R^-1 * Y1 * R * Y2, Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 6, 22, 5, 21)(2, 18, 7, 23, 3, 19, 8, 24)(9, 25, 13, 29, 10, 26, 14, 30)(11, 27, 15, 31, 12, 28, 16, 32)(33, 34, 38, 35)(36, 41, 37, 42)(39, 43, 40, 44)(45, 48, 46, 47)(49, 51, 54, 50)(52, 58, 53, 57)(55, 60, 56, 59)(61, 63, 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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.83
Graph:: bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.82 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1 * Y2^-1, Y2 * Y1^3, (R * Y3)^2, Y2 * Y3^2 * Y1, R * Y1 * R * Y2, Y2^4, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51, 6, 22, 38, 54, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 4, 20, 36, 52, 8, 24, 40, 56)(9, 25, 41, 57, 13, 29, 45, 61, 10, 26, 42, 58, 14, 30, 46, 62)(11, 27, 43, 59, 15, 31, 47, 63, 12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 22)(3, 25)(4, 17)(5, 26)(6, 20)(7, 27)(8, 28)(9, 21)(10, 19)(11, 24)(12, 23)(13, 32)(14, 31)(15, 29)(16, 30)(33, 50)(34, 54)(35, 57)(36, 49)(37, 58)(38, 52)(39, 59)(40, 60)(41, 53)(42, 51)(43, 56)(44, 55)(45, 64)(46, 63)(47, 61)(48, 62)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.80
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.83 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C2 x Q8) : C2 (small group id <32, 44>)
|r| :: 4
Presentation :: [ Y2^-1 * Y1^-1, Y3 * Y1^-2 * Y3, Y2 * Y3^-2 * Y1^-1, Y3 * R^2 * Y3, Y3^4, Y1^4, Y2^4, R^-1 * Y3 * R * Y3, R^-1 * Y2 * R * Y1, R^-1 * Y1 * R * Y2, Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 6, 22, 38, 54, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 3, 19, 35, 51, 8, 24, 40, 56)(9, 25, 41, 57, 13, 29, 45, 61, 10, 26, 42, 58, 14, 30, 46, 62)(11, 27, 43, 59, 15, 31, 47, 63, 12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 22)(3, 17)(4, 25)(5, 26)(6, 19)(7, 27)(8, 28)(9, 21)(10, 20)(11, 24)(12, 23)(13, 32)(14, 31)(15, 29)(16, 30)(33, 51)(34, 49)(35, 54)(36, 58)(37, 57)(38, 50)(39, 60)(40, 59)(41, 52)(42, 53)(43, 55)(44, 56)(45, 63)(46, 64)(47, 62)(48, 61)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.81
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.84 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y3^2 * Y1^2, Y1^4, (Y3, Y1^-1), Y3^4, (R * Y1)^2, Y1^2 * Y3^-2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y2 * Y1^2 * Y2 * Y3^-1, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 9, 25, 15, 31, 13, 29)(4, 20, 10, 26, 7, 23, 12, 28)(6, 22, 11, 27, 14, 30, 16, 32)(33, 49, 35, 51, 39, 55, 46, 62, 40, 56, 47, 63, 36, 52, 38, 54)(34, 50, 41, 57, 44, 60, 48, 64, 37, 53, 45, 61, 42, 58, 43, 59)
	L = (1, 36)(2, 42)(3, 38)(4, 40)(5, 44)(6, 47)(7, 33)(8, 39)(9, 43)(10, 37)(11, 45)(12, 34)(13, 48)(14, 35)(15, 46)(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, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.90
Graph:: bipartite
	v = 6 e = 32 f = 10
	degree seq :: [ 8^4, 16^2 ]

E9.85 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^2 * Y3^-2, Y1^2 * Y3^2, (R * Y3)^2, Y3^4, (Y3, Y1^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 9, 25, 16, 32, 14, 30)(4, 20, 10, 26, 7, 23, 12, 28)(6, 22, 11, 27, 13, 29, 15, 31)(33, 49, 35, 51, 36, 52, 45, 61, 40, 56, 48, 64, 39, 55, 38, 54)(34, 50, 41, 57, 42, 58, 47, 63, 37, 53, 46, 62, 44, 60, 43, 59)
	L = (1, 36)(2, 42)(3, 45)(4, 40)(5, 44)(6, 35)(7, 33)(8, 39)(9, 47)(10, 37)(11, 41)(12, 34)(13, 48)(14, 43)(15, 46)(16, 38)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.89
Graph:: bipartite
	v = 6 e = 32 f = 10
	degree seq :: [ 8^4, 16^2 ]

E9.86 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y1^2 * Y3^-2, Y1^2 * Y3^2, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, Y1^4, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 6, 22, 10, 26, 13, 29)(4, 20, 9, 25, 7, 23, 11, 27)(12, 28, 15, 31, 14, 30, 16, 32)(33, 49, 35, 51, 37, 53, 45, 61, 40, 56, 42, 58, 34, 50, 38, 54)(36, 52, 44, 60, 43, 59, 48, 64, 39, 55, 46, 62, 41, 57, 47, 63)
	L = (1, 36)(2, 41)(3, 44)(4, 40)(5, 43)(6, 47)(7, 33)(8, 39)(9, 37)(10, 46)(11, 34)(12, 42)(13, 48)(14, 35)(15, 45)(16, 38)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.91
Graph:: bipartite
	v = 6 e = 32 f = 10
	degree seq :: [ 8^4, 16^2 ]

E9.87 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y3^-2 * Y1^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y2)^2, Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 9, 25, 15, 31, 6, 22)(4, 20, 10, 26, 7, 23, 11, 27)(12, 28, 16, 32, 13, 29, 14, 30)(33, 49, 35, 51, 34, 50, 41, 57, 40, 56, 47, 63, 37, 53, 38, 54)(36, 52, 44, 60, 42, 58, 48, 64, 39, 55, 45, 61, 43, 59, 46, 62)
	L = (1, 36)(2, 42)(3, 44)(4, 40)(5, 43)(6, 46)(7, 33)(8, 39)(9, 48)(10, 37)(11, 34)(12, 47)(13, 35)(14, 41)(15, 45)(16, 38)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.92
Graph:: bipartite
	v = 6 e = 32 f = 10
	degree seq :: [ 8^4, 16^2 ]

E9.88 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, (Y1^-1, Y2), (Y3^-1, Y2^-1), (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y2^-1 * R)^2, (R * Y1)^2, Y3^-1 * Y2^4 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
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, 12, 28, 16, 32)(33, 49, 35, 51, 41, 57, 46, 62, 38, 54, 45, 61, 44, 60, 37, 53)(34, 50, 39, 55, 47, 63, 43, 59, 36, 52, 42, 58, 48, 64, 40, 56)
	L = (1, 34)(2, 38)(3, 39)(4, 33)(5, 40)(6, 36)(7, 45)(8, 46)(9, 47)(10, 35)(11, 37)(12, 48)(13, 42)(14, 43)(15, 44)(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, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.93
Graph:: bipartite
	v = 6 e = 32 f = 10
	degree seq :: [ 8^4, 16^2 ]

E9.89 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3, Y1 * Y2 * Y1^-1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 8, 24, 12, 28, 13, 29, 4, 20, 5, 21)(3, 19, 7, 23, 11, 27, 14, 30, 15, 31, 16, 32, 9, 25, 10, 26)(33, 49, 35, 51)(34, 50, 39, 55)(36, 52, 41, 57)(37, 53, 42, 58)(38, 54, 43, 59)(40, 56, 46, 62)(44, 60, 47, 63)(45, 61, 48, 64)
	L = (1, 36)(2, 37)(3, 41)(4, 44)(5, 45)(6, 33)(7, 42)(8, 34)(9, 47)(10, 48)(11, 35)(12, 38)(13, 40)(14, 39)(15, 43)(16, 46)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.85
Graph:: bipartite
	v = 10 e = 32 f = 6
	degree seq :: [ 4^8, 16^2 ]

E9.90 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3^-1, Y1 * Y2 * Y1^-1 * Y2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 4, 20, 8, 24, 12, 28, 13, 29, 6, 22, 5, 21)(3, 19, 7, 23, 9, 25, 14, 30, 15, 31, 16, 32, 11, 27, 10, 26)(33, 49, 35, 51)(34, 50, 39, 55)(36, 52, 41, 57)(37, 53, 42, 58)(38, 54, 43, 59)(40, 56, 46, 62)(44, 60, 47, 63)(45, 61, 48, 64)
	L = (1, 36)(2, 40)(3, 41)(4, 44)(5, 34)(6, 33)(7, 46)(8, 45)(9, 47)(10, 39)(11, 35)(12, 38)(13, 37)(14, 48)(15, 43)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.84
Graph:: bipartite
	v = 10 e = 32 f = 6
	degree seq :: [ 4^8, 16^2 ]

E9.91 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^4, Y3^-2 * Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 14, 30, 12, 28, 16, 32, 11, 27, 5, 21)(3, 19, 8, 24, 6, 22, 10, 26, 15, 31, 13, 29, 4, 20, 9, 25)(33, 49, 35, 51)(34, 50, 40, 56)(36, 52, 43, 59)(37, 53, 41, 57)(38, 54, 39, 55)(42, 58, 46, 62)(44, 60, 47, 63)(45, 61, 48, 64)
	L = (1, 36)(2, 41)(3, 43)(4, 44)(5, 45)(6, 33)(7, 35)(8, 37)(9, 48)(10, 34)(11, 47)(12, 38)(13, 46)(14, 40)(15, 39)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.86
Graph:: bipartite
	v = 10 e = 32 f = 6
	degree seq :: [ 4^8, 16^2 ]

E9.92 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1^-1, (R * Y2)^2, Y2 * Y3^-1 * Y1^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^4, Y1^-3 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 14, 30, 12, 28, 16, 32, 11, 27, 5, 21)(3, 19, 8, 24, 4, 20, 9, 25, 15, 31, 13, 29, 6, 22, 10, 26)(33, 49, 35, 51)(34, 50, 40, 56)(36, 52, 39, 55)(37, 53, 42, 58)(38, 54, 43, 59)(41, 57, 46, 62)(44, 60, 47, 63)(45, 61, 48, 64)
	L = (1, 36)(2, 41)(3, 39)(4, 44)(5, 40)(6, 33)(7, 47)(8, 46)(9, 48)(10, 34)(11, 35)(12, 38)(13, 37)(14, 45)(15, 43)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.87
Graph:: bipartite
	v = 10 e = 32 f = 6
	degree seq :: [ 4^8, 16^2 ]

E9.93 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y3^-2, (R * Y2)^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1), Y2 * Y1^4, (Y1^-2 * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 11, 27, 3, 19, 8, 24, 13, 29, 5, 21)(4, 20, 9, 25, 15, 31, 14, 30, 6, 22, 10, 26, 16, 32, 12, 28)(33, 49, 35, 51)(34, 50, 40, 56)(36, 52, 38, 54)(37, 53, 43, 59)(39, 55, 45, 61)(41, 57, 42, 58)(44, 60, 46, 62)(47, 63, 48, 64)
	L = (1, 36)(2, 41)(3, 38)(4, 35)(5, 44)(6, 33)(7, 47)(8, 42)(9, 40)(10, 34)(11, 46)(12, 43)(13, 48)(14, 37)(15, 45)(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, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.88
Graph:: bipartite
	v = 10 e = 32 f = 6
	degree seq :: [ 4^8, 16^2 ]

E9.94 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-2 * Y3 * Y1^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y2^8, (Y1^-1 * Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 17, 3, 19)(2, 18, 6, 22)(4, 20, 9, 25)(5, 21, 12, 28)(7, 23, 15, 31)(8, 24, 11, 27)(10, 26, 13, 29)(14, 30, 16, 32)(33, 34, 37, 43, 48, 47, 42, 36)(35, 39, 44, 41, 46, 38, 45, 40)(49, 50, 53, 59, 64, 63, 58, 52)(51, 55, 60, 57, 62, 54, 61, 56)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.97
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.95 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^8, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 17, 3, 19, 9, 25, 5, 21)(2, 18, 7, 23, 16, 32, 8, 24)(4, 20, 11, 27, 13, 29, 10, 26)(6, 22, 14, 30, 12, 28, 15, 31)(33, 34, 38, 45, 41, 48, 44, 36)(35, 40, 46, 43, 37, 39, 47, 42)(49, 50, 54, 61, 57, 64, 60, 52)(51, 56, 62, 59, 53, 55, 63, 58)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.96
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.96 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-2 * Y3 * Y1^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y2^8, (Y1^-1 * Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51)(2, 18, 34, 50, 6, 22, 38, 54)(4, 20, 36, 52, 9, 25, 41, 57)(5, 21, 37, 53, 12, 28, 44, 60)(7, 23, 39, 55, 15, 31, 47, 63)(8, 24, 40, 56, 11, 27, 43, 59)(10, 26, 42, 58, 13, 29, 45, 61)(14, 30, 46, 62, 16, 32, 48, 64)
	L = (1, 18)(2, 21)(3, 23)(4, 17)(5, 27)(6, 29)(7, 28)(8, 19)(9, 30)(10, 20)(11, 32)(12, 25)(13, 24)(14, 22)(15, 26)(16, 31)(33, 50)(34, 53)(35, 55)(36, 49)(37, 59)(38, 61)(39, 60)(40, 51)(41, 62)(42, 52)(43, 64)(44, 57)(45, 56)(46, 54)(47, 58)(48, 63)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.95
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.97 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51, 9, 25, 41, 57, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 16, 32, 48, 64, 8, 24, 40, 56)(4, 20, 36, 52, 11, 27, 43, 59, 13, 29, 45, 61, 10, 26, 42, 58)(6, 22, 38, 54, 14, 30, 46, 62, 12, 28, 44, 60, 15, 31, 47, 63)
	L = (1, 18)(2, 22)(3, 24)(4, 17)(5, 23)(6, 29)(7, 31)(8, 30)(9, 32)(10, 19)(11, 21)(12, 20)(13, 25)(14, 27)(15, 26)(16, 28)(33, 50)(34, 54)(35, 56)(36, 49)(37, 55)(38, 61)(39, 63)(40, 62)(41, 64)(42, 51)(43, 53)(44, 52)(45, 57)(46, 59)(47, 58)(48, 60)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.94
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.98 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^4, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 7, 23)(4, 20, 13, 29)(5, 21, 9, 25)(6, 22, 15, 31)(8, 24, 12, 28)(10, 26, 14, 30)(11, 27, 16, 32)(33, 49, 35, 51, 43, 59, 37, 53)(34, 50, 39, 55, 48, 64, 41, 57)(36, 52, 38, 54, 44, 60, 46, 62)(40, 56, 42, 58, 45, 61, 47, 63)
	L = (1, 36)(2, 40)(3, 38)(4, 37)(5, 46)(6, 33)(7, 42)(8, 41)(9, 47)(10, 34)(11, 44)(12, 35)(13, 39)(14, 43)(15, 48)(16, 45)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.109
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, Y3^2 * Y1^2, (Y3, Y1^-1), Y1^4, Y3^4, (R * Y1)^2, Y1^2 * Y3^-2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 13, 29, 15, 31, 9, 25)(4, 20, 10, 26, 7, 23, 12, 28)(6, 22, 16, 32, 14, 30, 11, 27)(33, 49, 35, 51, 39, 55, 46, 62, 40, 56, 47, 63, 36, 52, 38, 54)(34, 50, 41, 57, 44, 60, 48, 64, 37, 53, 45, 61, 42, 58, 43, 59)
	L = (1, 36)(2, 42)(3, 38)(4, 40)(5, 44)(6, 47)(7, 33)(8, 39)(9, 43)(10, 37)(11, 45)(12, 34)(13, 48)(14, 35)(15, 46)(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, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.106
Graph:: bipartite
	v = 6 e = 32 f = 10
	degree seq :: [ 8^4, 16^2 ]

E9.100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y3^2 * Y1^2, Y3^2 * Y1^-2, (Y3, Y1^-1), Y3^4, (R * Y2)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 13, 29, 16, 32, 9, 25)(4, 20, 10, 26, 7, 23, 12, 28)(6, 22, 15, 31, 14, 30, 11, 27)(33, 49, 35, 51, 36, 52, 46, 62, 40, 56, 48, 64, 39, 55, 38, 54)(34, 50, 41, 57, 42, 58, 47, 63, 37, 53, 45, 61, 44, 60, 43, 59)
	L = (1, 36)(2, 42)(3, 46)(4, 40)(5, 44)(6, 35)(7, 33)(8, 39)(9, 47)(10, 37)(11, 41)(12, 34)(13, 43)(14, 48)(15, 45)(16, 38)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.105
Graph:: bipartite
	v = 6 e = 32 f = 10
	degree seq :: [ 8^4, 16^2 ]

E9.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y1^-1 * Y3^-2 * Y1^-1, Y1^4, (Y1^-1 * Y3)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y1^-1, Y3^-1), (R * Y1)^2, Y1^-1 * Y2 * R * Y2^-1 * R, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 6, 22, 10, 26, 13, 29)(4, 20, 9, 25, 7, 23, 11, 27)(12, 28, 16, 32, 14, 30, 15, 31)(33, 49, 35, 51, 37, 53, 45, 61, 40, 56, 42, 58, 34, 50, 38, 54)(36, 52, 46, 62, 43, 59, 48, 64, 39, 55, 44, 60, 41, 57, 47, 63)
	L = (1, 36)(2, 41)(3, 44)(4, 40)(5, 43)(6, 48)(7, 33)(8, 39)(9, 37)(10, 46)(11, 34)(12, 42)(13, 47)(14, 35)(15, 38)(16, 45)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.108
Graph:: bipartite
	v = 6 e = 32 f = 10
	degree seq :: [ 8^4, 16^2 ]

E9.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y3^-2 * Y1^2, (Y3^-1, Y1^-1), Y1^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2, Y1 * Y3 * Y2 * Y3^-1 * Y2, Y1 * Y2 * R * Y2^-1 * R ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 9, 25, 15, 31, 6, 22)(4, 20, 10, 26, 7, 23, 11, 27)(12, 28, 14, 30, 13, 29, 16, 32)(33, 49, 35, 51, 34, 50, 41, 57, 40, 56, 47, 63, 37, 53, 38, 54)(36, 52, 45, 61, 42, 58, 48, 64, 39, 55, 44, 60, 43, 59, 46, 62)
	L = (1, 36)(2, 42)(3, 44)(4, 40)(5, 43)(6, 48)(7, 33)(8, 39)(9, 46)(10, 37)(11, 34)(12, 47)(13, 35)(14, 38)(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, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.107
Graph:: bipartite
	v = 6 e = 32 f = 10
	degree seq :: [ 8^4, 16^2 ]

E9.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y2 * Y1 * Y2, Y1^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 4, 20)(3, 19, 9, 25, 13, 29, 7, 23)(5, 21, 11, 27, 14, 30, 8, 24)(10, 26, 15, 31, 12, 28, 16, 32)(33, 49, 35, 51, 42, 58, 46, 62, 38, 54, 45, 61, 44, 60, 37, 53)(34, 50, 39, 55, 47, 63, 43, 59, 36, 52, 41, 57, 48, 64, 40, 56)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 43)(6, 36)(7, 35)(8, 37)(9, 45)(10, 47)(11, 46)(12, 48)(13, 39)(14, 40)(15, 44)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.104
Graph:: bipartite
	v = 6 e = 32 f = 10
	degree seq :: [ 8^4, 16^2 ]

E9.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1, Y3 * Y1 * Y3 * Y1^-1, Y2 * Y1^4, (Y1^-1 * Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 11, 27, 3, 19, 8, 24, 14, 30, 5, 21)(4, 20, 10, 26, 15, 31, 13, 29, 6, 22, 9, 25, 16, 32, 12, 28)(33, 49, 35, 51)(34, 50, 40, 56)(36, 52, 38, 54)(37, 53, 43, 59)(39, 55, 46, 62)(41, 57, 42, 58)(44, 60, 45, 61)(47, 63, 48, 64)
	L = (1, 36)(2, 41)(3, 38)(4, 35)(5, 45)(6, 33)(7, 47)(8, 42)(9, 40)(10, 34)(11, 44)(12, 37)(13, 43)(14, 48)(15, 46)(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, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.103
Graph:: bipartite
	v = 10 e = 32 f = 6
	degree seq :: [ 4^8, 16^2 ]

E9.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3, Y3^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y2)^2, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 8, 24, 13, 29, 14, 30, 4, 20, 5, 21)(3, 19, 9, 25, 12, 28, 15, 31, 16, 32, 7, 23, 10, 26, 11, 27)(33, 49, 35, 51)(34, 50, 39, 55)(36, 52, 42, 58)(37, 53, 47, 63)(38, 54, 44, 60)(40, 56, 43, 59)(41, 57, 46, 62)(45, 61, 48, 64)
	L = (1, 36)(2, 37)(3, 42)(4, 45)(5, 46)(6, 33)(7, 47)(8, 34)(9, 43)(10, 48)(11, 39)(12, 35)(13, 38)(14, 40)(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, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.100
Graph:: bipartite
	v = 10 e = 32 f = 6
	degree seq :: [ 4^8, 16^2 ]

E9.106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3, Y3^4, (R * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y1, Y1 * Y2 * Y1 * Y2 * Y3, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 4, 20, 8, 24, 13, 29, 15, 31, 6, 22, 5, 21)(3, 19, 9, 25, 10, 26, 14, 30, 16, 32, 7, 23, 12, 28, 11, 27)(33, 49, 35, 51)(34, 50, 39, 55)(36, 52, 42, 58)(37, 53, 46, 62)(38, 54, 44, 60)(40, 56, 43, 59)(41, 57, 47, 63)(45, 61, 48, 64)
	L = (1, 36)(2, 40)(3, 42)(4, 45)(5, 34)(6, 33)(7, 43)(8, 47)(9, 46)(10, 48)(11, 41)(12, 35)(13, 38)(14, 39)(15, 37)(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, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.99
Graph:: bipartite
	v = 10 e = 32 f = 6
	degree seq :: [ 4^8, 16^2 ]

E9.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^2 * Y2, Y3 * Y2 * Y1^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1^-1 * Y3 * Y1^-1, Y3^4, (Y3^-1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 14, 30, 13, 29, 16, 32, 12, 28, 5, 21)(3, 19, 11, 27, 6, 22, 9, 25, 15, 31, 8, 24, 4, 20, 10, 26)(33, 49, 35, 51)(34, 50, 40, 56)(36, 52, 44, 60)(37, 53, 41, 57)(38, 54, 39, 55)(42, 58, 46, 62)(43, 59, 48, 64)(45, 61, 47, 63)
	L = (1, 36)(2, 41)(3, 44)(4, 45)(5, 43)(6, 33)(7, 35)(8, 37)(9, 48)(10, 34)(11, 46)(12, 47)(13, 38)(14, 40)(15, 39)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.102
Graph:: bipartite
	v = 10 e = 32 f = 6
	degree seq :: [ 4^8, 16^2 ]

E9.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1 * Y2 * Y1, Y3 * Y1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y3 * Y1^-2, Y3^4, Y3 * Y1^4 * Y3 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 14, 30, 13, 29, 16, 32, 12, 28, 5, 21)(3, 19, 11, 27, 4, 20, 10, 26, 15, 31, 8, 24, 6, 22, 9, 25)(33, 49, 35, 51)(34, 50, 40, 56)(36, 52, 39, 55)(37, 53, 42, 58)(38, 54, 44, 60)(41, 57, 46, 62)(43, 59, 48, 64)(45, 61, 47, 63)
	L = (1, 36)(2, 41)(3, 39)(4, 45)(5, 40)(6, 33)(7, 47)(8, 46)(9, 48)(10, 34)(11, 37)(12, 35)(13, 38)(14, 43)(15, 44)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.101
Graph:: bipartite
	v = 10 e = 32 f = 6
	degree seq :: [ 4^8, 16^2 ]

E9.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y2^-2, (Y2 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 12, 28, 16, 32, 15, 31, 10, 26, 4, 20)(3, 19, 9, 25, 5, 21, 11, 27, 13, 29, 7, 23, 14, 30, 8, 24)(33, 49, 35, 51, 42, 58, 46, 62, 48, 64, 45, 61, 38, 54, 37, 53)(34, 50, 39, 55, 36, 52, 43, 59, 47, 63, 41, 57, 44, 60, 40, 56)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 43)(6, 44)(7, 46)(8, 35)(9, 37)(10, 36)(11, 45)(12, 48)(13, 39)(14, 40)(15, 42)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.98
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ 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, Y2^9 * Y1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 19, 2, 20)(3, 21, 5, 23)(4, 22, 6, 24)(7, 25, 9, 27)(8, 26, 10, 28)(11, 29, 13, 31)(12, 30, 14, 32)(15, 33, 17, 35)(16, 34, 18, 36)(37, 55, 39, 57, 43, 61, 47, 65, 51, 69, 54, 72, 50, 68, 46, 64, 42, 60, 38, 56, 41, 59, 45, 63, 49, 67, 53, 71, 52, 70, 48, 66, 44, 62, 40, 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) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 10 e = 36 f = 10
	degree seq :: [ 4^9, 36 ]

E9.111 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 19, 19})
Quotient :: edge
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T1)^2, (F * T2)^2, T1 * T2^9, (T2^-1 * T1^-1)^19 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 16, 12, 8, 4, 2, 6, 10, 14, 18, 17, 13, 9, 5)(20, 21, 22, 25, 26, 29, 30, 33, 34, 37, 38, 36, 35, 32, 31, 28, 27, 24, 23)
	L = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)
	local type(s) :: { ( 38^19 ) }
Outer automorphisms :: reflexible
Dual of E9.122
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 19 f = 1
	degree seq :: [ 19^2 ]

E9.112 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 19, 19})
Quotient :: edge
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T2)^2, (F * T1)^2, T2^-9 * T1 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 18, 14, 10, 6, 2, 4, 8, 12, 16, 19, 17, 13, 9, 5)(20, 21, 24, 25, 28, 29, 32, 33, 36, 37, 38, 34, 35, 30, 31, 26, 27, 22, 23)
	L = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)
	local type(s) :: { ( 38^19 ) }
Outer automorphisms :: reflexible
Dual of E9.119
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 19 f = 1
	degree seq :: [ 19^2 ]

E9.113 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 19, 19})
Quotient :: edge
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^6, (T2^-1 * T1^-1)^19 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 16, 10, 4, 6, 12, 18, 19, 14, 8, 2, 7, 13, 17, 11, 5)(20, 21, 25, 22, 26, 31, 28, 32, 37, 34, 36, 38, 35, 30, 33, 29, 24, 27, 23)
	L = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)
	local type(s) :: { ( 38^19 ) }
Outer automorphisms :: reflexible
Dual of E9.123
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 19 f = 1
	degree seq :: [ 19^2 ]

E9.114 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 19, 19})
Quotient :: edge
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-1 * T1^-1, (F * T1)^2, (F * T2)^2, T1 * T2^-6 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 14, 8, 2, 7, 13, 19, 18, 12, 6, 4, 10, 16, 17, 11, 5)(20, 21, 25, 24, 27, 31, 30, 33, 37, 36, 34, 38, 35, 28, 32, 29, 22, 26, 23)
	L = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)
	local type(s) :: { ( 38^19 ) }
Outer automorphisms :: reflexible
Dual of E9.120
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 19 f = 1
	degree seq :: [ 19^2 ]

E9.115 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 19, 19})
Quotient :: edge
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^2 * T2^-1 * T1^2, T2^4 * T1^-1 * T2, T2 * T1 * T2 * T1 * T2^2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 8, 2, 7, 15, 18, 11, 6, 14, 19, 12, 4, 10, 17, 13, 5)(20, 21, 25, 29, 22, 26, 33, 36, 28, 34, 38, 32, 35, 37, 31, 24, 27, 30, 23)
	L = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)
	local type(s) :: { ( 38^19 ) }
Outer automorphisms :: reflexible
Dual of E9.124
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 19 f = 1
	degree seq :: [ 19^2 ]

E9.116 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 19, 19})
Quotient :: edge
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-4 * T2^-1, T2^-1 * T1^-1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 12, 4, 10, 18, 14, 6, 11, 19, 16, 8, 2, 7, 15, 13, 5)(20, 21, 25, 31, 24, 27, 33, 36, 32, 35, 37, 28, 34, 38, 29, 22, 26, 30, 23)
	L = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)
	local type(s) :: { ( 38^19 ) }
Outer automorphisms :: reflexible
Dual of E9.121
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 19 f = 1
	degree seq :: [ 19^2 ]

E9.117 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 19, 19})
Quotient :: edge
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-1 * T1 * T2^-2 * T1, T1^-1 * T2^-1 * T1^-4 * T2^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 18, 11, 13, 5)(20, 21, 25, 33, 38, 32, 29, 22, 26, 34, 37, 31, 24, 27, 28, 35, 36, 30, 23)
	L = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)
	local type(s) :: { ( 38^19 ) }
Outer automorphisms :: reflexible
Dual of E9.126
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 19 f = 1
	degree seq :: [ 19^2 ]

E9.118 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 19, 19})
Quotient :: edge
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^2, T2^2 * T1^-1 * T2 * T1^3, T1^-3 * T2 * T1^-1 * T2 * T1^-1, T1^-1 * T2^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 15, 6, 13, 5)(20, 21, 25, 33, 36, 28, 31, 24, 27, 34, 37, 29, 22, 26, 32, 35, 38, 30, 23)
	L = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)
	local type(s) :: { ( 38^19 ) }
Outer automorphisms :: reflexible
Dual of E9.125
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 19 f = 1
	degree seq :: [ 19^2 ]

E9.119 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 19, 19})
Quotient :: loop
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1, (F * T2)^2, (F * T1)^2, T1^19, T2^19, (T2^-1 * T1^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 4, 23, 6, 25, 8, 27, 10, 29, 12, 31, 14, 33, 16, 35, 18, 37, 19, 38, 17, 36, 15, 34, 13, 32, 11, 30, 9, 28, 7, 26, 5, 24, 3, 22)
	L = (1, 21)(2, 23)(3, 20)(4, 25)(5, 22)(6, 27)(7, 24)(8, 29)(9, 26)(10, 31)(11, 28)(12, 33)(13, 30)(14, 35)(15, 32)(16, 37)(17, 34)(18, 38)(19, 36)
	local type(s) :: { ( 19^38 ) }
Outer automorphisms :: reflexible
Dual of E9.112
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 19 f = 2
	degree seq :: [ 38 ]

E9.120 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 19, 19})
Quotient :: loop
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T1)^2, (F * T2)^2, T1 * T2^9, (T2^-1 * T1^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 3, 22, 7, 26, 11, 30, 15, 34, 19, 38, 16, 35, 12, 31, 8, 27, 4, 23, 2, 21, 6, 25, 10, 29, 14, 33, 18, 37, 17, 36, 13, 32, 9, 28, 5, 24)
	L = (1, 21)(2, 22)(3, 25)(4, 20)(5, 23)(6, 26)(7, 29)(8, 24)(9, 27)(10, 30)(11, 33)(12, 28)(13, 31)(14, 34)(15, 37)(16, 32)(17, 35)(18, 38)(19, 36)
	local type(s) :: { ( 19^38 ) }
Outer automorphisms :: reflexible
Dual of E9.114
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 19 f = 2
	degree seq :: [ 38 ]

E9.121 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 19, 19})
Quotient :: loop
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^6, (T2^-1 * T1^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 3, 22, 9, 28, 15, 34, 16, 35, 10, 29, 4, 23, 6, 25, 12, 31, 18, 37, 19, 38, 14, 33, 8, 27, 2, 21, 7, 26, 13, 32, 17, 36, 11, 30, 5, 24)
	L = (1, 21)(2, 25)(3, 26)(4, 20)(5, 27)(6, 22)(7, 31)(8, 23)(9, 32)(10, 24)(11, 33)(12, 28)(13, 37)(14, 29)(15, 36)(16, 30)(17, 38)(18, 34)(19, 35)
	local type(s) :: { ( 19^38 ) }
Outer automorphisms :: reflexible
Dual of E9.116
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 19 f = 2
	degree seq :: [ 38 ]

E9.122 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 19, 19})
Quotient :: loop
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-1 * T1^-1, (F * T1)^2, (F * T2)^2, T1 * T2^-6 ]
Map:: non-degenerate
	R = (1, 20, 3, 22, 9, 28, 15, 34, 14, 33, 8, 27, 2, 21, 7, 26, 13, 32, 19, 38, 18, 37, 12, 31, 6, 25, 4, 23, 10, 29, 16, 35, 17, 36, 11, 30, 5, 24)
	L = (1, 21)(2, 25)(3, 26)(4, 20)(5, 27)(6, 24)(7, 23)(8, 31)(9, 32)(10, 22)(11, 33)(12, 30)(13, 29)(14, 37)(15, 38)(16, 28)(17, 34)(18, 36)(19, 35)
	local type(s) :: { ( 19^38 ) }
Outer automorphisms :: reflexible
Dual of E9.111
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 19 f = 2
	degree seq :: [ 38 ]

E9.123 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 19, 19})
Quotient :: loop
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-4 * T2^-1, T2^-1 * T1^-1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 20, 3, 22, 9, 28, 17, 36, 12, 31, 4, 23, 10, 29, 18, 37, 14, 33, 6, 25, 11, 30, 19, 38, 16, 35, 8, 27, 2, 21, 7, 26, 15, 34, 13, 32, 5, 24)
	L = (1, 21)(2, 25)(3, 26)(4, 20)(5, 27)(6, 31)(7, 30)(8, 33)(9, 34)(10, 22)(11, 23)(12, 24)(13, 35)(14, 36)(15, 38)(16, 37)(17, 32)(18, 28)(19, 29)
	local type(s) :: { ( 19^38 ) }
Outer automorphisms :: reflexible
Dual of E9.113
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 19 f = 2
	degree seq :: [ 38 ]

E9.124 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 19, 19})
Quotient :: loop
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-2 * T1^-1 * T2^-2, T1^-4 * T2^-1 * T1^-1, T1 * T2^-1 * T1^2 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 20, 3, 22, 9, 28, 12, 31, 4, 23, 10, 29, 18, 37, 14, 33, 11, 30, 19, 38, 16, 35, 6, 25, 15, 34, 17, 36, 8, 27, 2, 21, 7, 26, 13, 32, 5, 24)
	L = (1, 21)(2, 25)(3, 26)(4, 20)(5, 27)(6, 33)(7, 34)(8, 35)(9, 32)(10, 22)(11, 23)(12, 24)(13, 36)(14, 31)(15, 30)(16, 37)(17, 38)(18, 28)(19, 29)
	local type(s) :: { ( 19^38 ) }
Outer automorphisms :: reflexible
Dual of E9.115
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 19 f = 2
	degree seq :: [ 38 ]

E9.125 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 19, 19})
Quotient :: loop
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T1^-6 * T2 ]
Map:: non-degenerate
	R = (1, 20, 3, 22, 9, 28, 4, 23, 10, 29, 15, 34, 11, 30, 16, 35, 19, 38, 17, 36, 12, 31, 18, 37, 14, 33, 6, 25, 13, 32, 8, 27, 2, 21, 7, 26, 5, 24)
	L = (1, 21)(2, 25)(3, 26)(4, 20)(5, 27)(6, 31)(7, 32)(8, 33)(9, 24)(10, 22)(11, 23)(12, 35)(13, 37)(14, 36)(15, 28)(16, 29)(17, 30)(18, 38)(19, 34)
	local type(s) :: { ( 19^38 ) }
Outer automorphisms :: reflexible
Dual of E9.118
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 19 f = 2
	degree seq :: [ 38 ]

E9.126 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 19, 19})
Quotient :: loop
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-1 * T1 * T2^-2 * T1, T1^-1 * T2^-1 * T1^-4 * T2^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 20, 3, 22, 9, 28, 6, 25, 15, 34, 17, 36, 19, 38, 12, 31, 4, 23, 10, 29, 8, 27, 2, 21, 7, 26, 16, 35, 14, 33, 18, 37, 11, 30, 13, 32, 5, 24)
	L = (1, 21)(2, 25)(3, 26)(4, 20)(5, 27)(6, 33)(7, 34)(8, 28)(9, 35)(10, 22)(11, 23)(12, 24)(13, 29)(14, 38)(15, 37)(16, 36)(17, 30)(18, 31)(19, 32)
	local type(s) :: { ( 19^38 ) }
Outer automorphisms :: reflexible
Dual of E9.117
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 19 f = 2
	degree seq :: [ 38 ]

E9.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^9 * Y2, Y2 * Y1^-9 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 10, 29, 14, 33, 18, 37, 16, 35, 12, 31, 8, 27, 3, 22, 5, 24, 7, 26, 11, 30, 15, 34, 19, 38, 17, 36, 13, 32, 9, 28, 4, 23)(39, 58, 41, 60, 42, 61, 46, 65, 47, 66, 50, 69, 51, 70, 54, 73, 55, 74, 56, 75, 57, 76, 52, 71, 53, 72, 48, 67, 49, 68, 44, 63, 45, 64, 40, 59, 43, 62)
	L = (1, 42)(2, 39)(3, 46)(4, 47)(5, 41)(6, 40)(7, 43)(8, 50)(9, 51)(10, 44)(11, 45)(12, 54)(13, 55)(14, 48)(15, 49)(16, 56)(17, 57)(18, 52)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.135
Graph:: bipartite
	v = 2 e = 38 f = 20
	degree seq :: [ 38^2 ]

E9.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^4 * Y2^-1 * Y3 * Y1^-4, Y2 * Y1^9, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 10, 29, 14, 33, 18, 37, 17, 36, 13, 32, 9, 28, 5, 24, 3, 22, 7, 26, 11, 30, 15, 34, 19, 38, 16, 35, 12, 31, 8, 27, 4, 23)(39, 58, 41, 60, 40, 59, 45, 64, 44, 63, 49, 68, 48, 67, 53, 72, 52, 71, 57, 76, 56, 75, 54, 73, 55, 74, 50, 69, 51, 70, 46, 65, 47, 66, 42, 61, 43, 62)
	L = (1, 42)(2, 39)(3, 43)(4, 46)(5, 47)(6, 40)(7, 41)(8, 50)(9, 51)(10, 44)(11, 45)(12, 54)(13, 55)(14, 48)(15, 49)(16, 57)(17, 56)(18, 52)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.140
Graph:: bipartite
	v = 2 e = 38 f = 20
	degree seq :: [ 38^2 ]

E9.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2^-2 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y3^2 * Y2 * Y3^4, Y1^-6 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 12, 31, 16, 35, 10, 29, 3, 22, 7, 26, 13, 32, 18, 37, 19, 38, 15, 34, 9, 28, 5, 24, 8, 27, 14, 33, 17, 36, 11, 30, 4, 23)(39, 58, 41, 60, 47, 66, 42, 61, 48, 67, 53, 72, 49, 68, 54, 73, 57, 76, 55, 74, 50, 69, 56, 75, 52, 71, 44, 63, 51, 70, 46, 65, 40, 59, 45, 64, 43, 62)
	L = (1, 42)(2, 39)(3, 48)(4, 49)(5, 47)(6, 40)(7, 41)(8, 43)(9, 53)(10, 54)(11, 55)(12, 44)(13, 45)(14, 46)(15, 57)(16, 50)(17, 52)(18, 51)(19, 56)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.142
Graph:: bipartite
	v = 2 e = 38 f = 20
	degree seq :: [ 38^2 ]

E9.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2 * Y1^6, 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 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 12, 31, 17, 36, 11, 30, 5, 24, 8, 27, 14, 33, 18, 37, 19, 38, 15, 34, 9, 28, 3, 22, 7, 26, 13, 32, 16, 35, 10, 29, 4, 23)(39, 58, 41, 60, 46, 65, 40, 59, 45, 64, 52, 71, 44, 63, 51, 70, 56, 75, 50, 69, 54, 73, 57, 76, 55, 74, 48, 67, 53, 72, 49, 68, 42, 61, 47, 66, 43, 62)
	L = (1, 42)(2, 39)(3, 47)(4, 48)(5, 49)(6, 40)(7, 41)(8, 43)(9, 53)(10, 54)(11, 55)(12, 44)(13, 45)(14, 46)(15, 57)(16, 51)(17, 50)(18, 52)(19, 56)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.138
Graph:: bipartite
	v = 2 e = 38 f = 20
	degree seq :: [ 38^2 ]

E9.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2^-1, (Y3^-1, Y2), (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2^-2 * Y1^-1 * Y2^-2, Y2^-1 * Y3^2 * Y1^-3, Y1^3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 14, 33, 12, 31, 5, 24, 8, 27, 16, 35, 18, 37, 9, 28, 13, 32, 17, 36, 19, 38, 10, 29, 3, 22, 7, 26, 15, 34, 11, 30, 4, 23)(39, 58, 41, 60, 47, 66, 50, 69, 42, 61, 48, 67, 56, 75, 52, 71, 49, 68, 57, 76, 54, 73, 44, 63, 53, 72, 55, 74, 46, 65, 40, 59, 45, 64, 51, 70, 43, 62)
	L = (1, 42)(2, 39)(3, 48)(4, 49)(5, 50)(6, 40)(7, 41)(8, 43)(9, 56)(10, 57)(11, 53)(12, 52)(13, 47)(14, 44)(15, 45)(16, 46)(17, 51)(18, 54)(19, 55)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.139
Graph:: bipartite
	v = 2 e = 38 f = 20
	degree seq :: [ 38^2 ]

E9.132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2^-1 * Y3 * Y2, Y2 * Y3 * Y2^3, Y2^-1 * Y3^-1 * Y2^-3, Y1^2 * Y2^-1 * Y3^-3, Y2 * Y3^2 * Y1^-3, Y1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 14, 33, 10, 29, 3, 22, 7, 26, 15, 34, 19, 38, 13, 32, 9, 28, 17, 36, 18, 37, 12, 31, 5, 24, 8, 27, 16, 35, 11, 30, 4, 23)(39, 58, 41, 60, 47, 66, 46, 65, 40, 59, 45, 64, 55, 74, 54, 73, 44, 63, 53, 72, 56, 75, 49, 68, 52, 71, 57, 76, 50, 69, 42, 61, 48, 67, 51, 70, 43, 62)
	L = (1, 42)(2, 39)(3, 48)(4, 49)(5, 50)(6, 40)(7, 41)(8, 43)(9, 51)(10, 52)(11, 54)(12, 56)(13, 57)(14, 44)(15, 45)(16, 46)(17, 47)(18, 55)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.137
Graph:: bipartite
	v = 2 e = 38 f = 20
	degree seq :: [ 38^2 ]

E9.133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y2^-1, Y1^-1), Y1^2 * Y2 * Y1 * Y2, Y2^-1 * Y1 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 13, 32, 15, 34, 16, 35, 18, 37, 10, 29, 3, 22, 7, 26, 12, 31, 5, 24, 8, 27, 14, 33, 19, 38, 17, 36, 9, 28, 11, 30, 4, 23)(39, 58, 41, 60, 47, 66, 54, 73, 52, 71, 44, 63, 50, 69, 42, 61, 48, 67, 55, 74, 53, 72, 46, 65, 40, 59, 45, 64, 49, 68, 56, 75, 57, 76, 51, 70, 43, 62)
	L = (1, 42)(2, 39)(3, 48)(4, 49)(5, 50)(6, 40)(7, 41)(8, 43)(9, 55)(10, 56)(11, 47)(12, 45)(13, 44)(14, 46)(15, 51)(16, 53)(17, 57)(18, 54)(19, 52)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.136
Graph:: bipartite
	v = 2 e = 38 f = 20
	degree seq :: [ 38^2 ]

E9.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-2 * Y1^-2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y1^3 * Y2^-2, Y3^2 * Y2^-5, Y3^-2 * Y2^5, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^2 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 9, 28, 15, 34, 19, 38, 17, 36, 12, 31, 5, 24, 8, 27, 10, 29, 3, 22, 7, 26, 14, 33, 16, 35, 18, 37, 13, 32, 11, 30, 4, 23)(39, 58, 41, 60, 47, 66, 54, 73, 55, 74, 49, 68, 46, 65, 40, 59, 45, 64, 53, 72, 56, 75, 50, 69, 42, 61, 48, 67, 44, 63, 52, 71, 57, 76, 51, 70, 43, 62)
	L = (1, 42)(2, 39)(3, 48)(4, 49)(5, 50)(6, 40)(7, 41)(8, 43)(9, 44)(10, 46)(11, 51)(12, 55)(13, 56)(14, 45)(15, 47)(16, 52)(17, 57)(18, 54)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.141
Graph:: bipartite
	v = 2 e = 38 f = 20
	degree seq :: [ 38^2 ]

E9.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^19, (Y3 * Y2^-1)^19, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)(39, 58, 40, 59, 42, 61, 44, 63, 46, 65, 48, 67, 50, 69, 52, 71, 54, 73, 56, 75, 57, 76, 55, 74, 53, 72, 51, 70, 49, 68, 47, 66, 45, 64, 43, 62, 41, 60)
	L = (1, 41)(2, 39)(3, 43)(4, 40)(5, 45)(6, 42)(7, 47)(8, 44)(9, 49)(10, 46)(11, 51)(12, 48)(13, 53)(14, 50)(15, 55)(16, 52)(17, 57)(18, 54)(19, 56)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38, 38 ), ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E9.127
Graph:: bipartite
	v = 20 e = 38 f = 2
	degree seq :: [ 2^19, 38 ]

E9.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-9, (Y3 * Y2^-1)^19, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)(39, 58, 40, 59, 43, 62, 44, 63, 47, 66, 48, 67, 51, 70, 52, 71, 55, 74, 56, 75, 57, 76, 53, 72, 54, 73, 49, 68, 50, 69, 45, 64, 46, 65, 41, 60, 42, 61)
	L = (1, 41)(2, 42)(3, 45)(4, 46)(5, 39)(6, 40)(7, 49)(8, 50)(9, 43)(10, 44)(11, 53)(12, 54)(13, 47)(14, 48)(15, 56)(16, 57)(17, 51)(18, 52)(19, 55)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38, 38 ), ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E9.133
Graph:: bipartite
	v = 20 e = 38 f = 2
	degree seq :: [ 2^19, 38 ]

E9.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-1 * Y3^-1 * Y2^-2, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y3^-6 * Y2, Y2^-1 * Y3^-3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)(39, 58, 40, 59, 44, 63, 43, 62, 46, 65, 50, 69, 49, 68, 52, 71, 56, 75, 55, 74, 53, 72, 57, 76, 54, 73, 47, 66, 51, 70, 48, 67, 41, 60, 45, 64, 42, 61)
	L = (1, 41)(2, 45)(3, 47)(4, 48)(5, 39)(6, 42)(7, 51)(8, 40)(9, 53)(10, 54)(11, 43)(12, 44)(13, 57)(14, 46)(15, 52)(16, 55)(17, 49)(18, 50)(19, 56)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38, 38 ), ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E9.132
Graph:: bipartite
	v = 20 e = 38 f = 2
	degree seq :: [ 2^19, 38 ]

E9.138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2 * Y3 * Y2^3, Y3^-3 * Y2^-1 * Y3^-2, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)(39, 58, 40, 59, 44, 63, 50, 69, 43, 62, 46, 65, 52, 71, 55, 74, 51, 70, 54, 73, 56, 75, 47, 66, 53, 72, 57, 76, 48, 67, 41, 60, 45, 64, 49, 68, 42, 61)
	L = (1, 41)(2, 45)(3, 47)(4, 48)(5, 39)(6, 49)(7, 53)(8, 40)(9, 55)(10, 56)(11, 57)(12, 42)(13, 43)(14, 44)(15, 51)(16, 46)(17, 50)(18, 52)(19, 54)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38, 38 ), ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E9.130
Graph:: bipartite
	v = 20 e = 38 f = 2
	degree seq :: [ 2^19, 38 ]

E9.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3), Y3^4 * Y2, Y3^-1 * Y2^-5, (Y2^-1 * Y3)^19, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)(39, 58, 40, 59, 44, 63, 52, 71, 50, 69, 43, 62, 46, 65, 54, 73, 56, 75, 47, 66, 51, 70, 55, 74, 57, 76, 48, 67, 41, 60, 45, 64, 53, 72, 49, 68, 42, 61)
	L = (1, 41)(2, 45)(3, 47)(4, 48)(5, 39)(6, 53)(7, 51)(8, 40)(9, 50)(10, 56)(11, 57)(12, 42)(13, 43)(14, 49)(15, 55)(16, 44)(17, 46)(18, 52)(19, 54)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38, 38 ), ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E9.131
Graph:: bipartite
	v = 20 e = 38 f = 2
	degree seq :: [ 2^19, 38 ]

E9.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^-3 * Y2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^2 * Y3 * Y2^4, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)(39, 58, 40, 59, 44, 63, 50, 69, 55, 74, 49, 68, 43, 62, 46, 65, 52, 71, 56, 75, 57, 76, 53, 72, 47, 66, 41, 60, 45, 64, 51, 70, 54, 73, 48, 67, 42, 61)
	L = (1, 41)(2, 45)(3, 46)(4, 47)(5, 39)(6, 51)(7, 52)(8, 40)(9, 43)(10, 53)(11, 42)(12, 54)(13, 56)(14, 44)(15, 49)(16, 57)(17, 48)(18, 50)(19, 55)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38, 38 ), ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E9.128
Graph:: bipartite
	v = 20 e = 38 f = 2
	degree seq :: [ 2^19, 38 ]

E9.141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2^2 * Y3^2, Y3 * Y2^-1 * Y3 * Y2^-4, Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-2, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)(39, 58, 40, 59, 44, 63, 52, 71, 55, 74, 47, 66, 50, 69, 43, 62, 46, 65, 53, 72, 56, 75, 48, 67, 41, 60, 45, 64, 51, 70, 54, 73, 57, 76, 49, 68, 42, 61)
	L = (1, 41)(2, 45)(3, 47)(4, 48)(5, 39)(6, 51)(7, 50)(8, 40)(9, 49)(10, 55)(11, 56)(12, 42)(13, 43)(14, 54)(15, 44)(16, 46)(17, 57)(18, 52)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38, 38 ), ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E9.134
Graph:: bipartite
	v = 20 e = 38 f = 2
	degree seq :: [ 2^19, 38 ]

E9.142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3^3 * Y2 * Y3 * Y2 * Y3, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20)(2, 21)(3, 22)(4, 23)(5, 24)(6, 25)(7, 26)(8, 27)(9, 28)(10, 29)(11, 30)(12, 31)(13, 32)(14, 33)(15, 34)(16, 35)(17, 36)(18, 37)(19, 38)(39, 58, 40, 59, 44, 63, 47, 66, 53, 72, 57, 76, 55, 74, 50, 69, 43, 62, 46, 65, 48, 67, 41, 60, 45, 64, 52, 71, 54, 73, 56, 75, 51, 70, 49, 68, 42, 61)
	L = (1, 41)(2, 45)(3, 47)(4, 48)(5, 39)(6, 52)(7, 53)(8, 40)(9, 54)(10, 44)(11, 46)(12, 42)(13, 43)(14, 57)(15, 56)(16, 55)(17, 49)(18, 50)(19, 51)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38, 38 ), ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E9.129
Graph:: bipartite
	v = 20 e = 38 f = 2
	degree seq :: [ 2^19, 38 ]

E9.143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 5})
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, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-5 * Y1, (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, 56)(12, 45)(13, 60)(14, 46)(15, 54)(16, 48)(17, 59)(18, 50)(19, 52)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.144
Graph:: bipartite
	v = 15 e = 40 f = 9
	degree seq :: [ 4^10, 8^5 ]

E9.144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 5})
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 * Y2)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y1, Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y1^-2, Y3^2 * Y2^-2, (R * Y3)^2, Y1^4, (R * Y2)^2, (R * Y1)^2, Y3^2 * Y2^3 ]
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, 55, 75, 46, 66)(42, 62, 49, 69, 57, 77, 59, 79, 51, 71)(44, 64, 54, 74, 56, 76, 47, 67, 48, 68)(45, 65, 50, 70, 58, 78, 60, 80, 52, 72)
	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, 56)(14, 55)(15, 47)(16, 46)(17, 60)(18, 59)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.143
Graph:: bipartite
	v = 9 e = 40 f = 15
	degree seq :: [ 8^5, 10^4 ]

E9.145 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y3 * R * Y2, (Y1^-1 * Y2)^2, (R * Y1)^2, Y1^10 ]
Map::
	R = (1, 22, 2, 25, 5, 29, 9, 33, 13, 37, 17, 36, 16, 32, 12, 28, 8, 24, 4, 21)(3, 27, 7, 31, 11, 35, 15, 39, 19, 40, 20, 38, 18, 34, 14, 30, 10, 26, 6, 23)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 20)(21, 23)(22, 26)(24, 27)(25, 30)(28, 31)(29, 34)(32, 35)(33, 38)(36, 39)(37, 40)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 20 f = 2
	degree seq :: [ 20^2 ]

E9.146 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, R * Y2 * R * Y3, Y1^-1 * Y2 * Y3 * Y1^-3, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 26, 6, 34, 14, 30, 10, 37, 17, 32, 12, 38, 18, 33, 13, 25, 5, 21)(3, 29, 9, 36, 16, 28, 8, 24, 4, 31, 11, 39, 19, 40, 20, 35, 15, 27, 7, 23)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 19)(11, 17)(13, 16)(14, 20)(21, 24)(22, 28)(23, 30)(25, 31)(26, 36)(27, 37)(29, 34)(32, 35)(33, 39)(38, 40)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 20 f = 2
	degree seq :: [ 20^2 ]

E9.147 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^10 ]
Map::
	R = (1, 21, 3, 23, 7, 27, 11, 31, 15, 35, 19, 39, 16, 36, 12, 32, 8, 28, 4, 24)(2, 22, 5, 25, 9, 29, 13, 33, 17, 37, 20, 40, 18, 38, 14, 34, 10, 30, 6, 26)(41, 42)(43, 46)(44, 45)(47, 50)(48, 49)(51, 54)(52, 53)(55, 58)(56, 57)(59, 60)(61, 62)(63, 66)(64, 65)(67, 70)(68, 69)(71, 74)(72, 73)(75, 78)(76, 77)(79, 80)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E9.150
Graph:: simple bipartite
	v = 22 e = 40 f = 2
	degree seq :: [ 2^20, 20^2 ]

E9.148 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^2, Y3^-4 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 21, 4, 24, 12, 32, 19, 39, 9, 29, 16, 36, 6, 26, 15, 35, 13, 33, 5, 25)(2, 22, 7, 27, 17, 37, 20, 40, 14, 34, 11, 31, 3, 23, 10, 30, 18, 38, 8, 28)(41, 42)(43, 49)(44, 48)(45, 47)(46, 54)(50, 59)(51, 56)(52, 58)(53, 57)(55, 60)(61, 63)(62, 66)(64, 71)(65, 70)(67, 76)(68, 75)(69, 77)(72, 74)(73, 78)(79, 80)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E9.151
Graph:: simple bipartite
	v = 22 e = 40 f = 2
	degree seq :: [ 2^20, 20^2 ]

E9.149 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 21, 4, 24)(2, 22, 6, 26)(3, 23, 8, 28)(5, 25, 10, 30)(7, 27, 12, 32)(9, 29, 14, 34)(11, 31, 16, 36)(13, 33, 18, 38)(15, 35, 19, 39)(17, 37, 20, 40)(41, 42, 45, 49, 53, 57, 55, 51, 47, 43)(44, 48, 52, 56, 59, 60, 58, 54, 50, 46)(61, 63, 67, 71, 75, 77, 73, 69, 65, 62)(64, 66, 70, 74, 78, 80, 79, 76, 72, 68)
	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 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E9.152
Graph:: simple bipartite
	v = 14 e = 40 f = 10
	degree seq :: [ 4^10, 10^4 ]

E9.150 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^10 ]
Map::
	R = (1, 21, 41, 61, 3, 23, 43, 63, 7, 27, 47, 67, 11, 31, 51, 71, 15, 35, 55, 75, 19, 39, 59, 79, 16, 36, 56, 76, 12, 32, 52, 72, 8, 28, 48, 68, 4, 24, 44, 64)(2, 22, 42, 62, 5, 25, 45, 65, 9, 29, 49, 69, 13, 33, 53, 73, 17, 37, 57, 77, 20, 40, 60, 80, 18, 38, 58, 78, 14, 34, 54, 74, 10, 30, 50, 70, 6, 26, 46, 66)
	L = (1, 22)(2, 21)(3, 26)(4, 25)(5, 24)(6, 23)(7, 30)(8, 29)(9, 28)(10, 27)(11, 34)(12, 33)(13, 32)(14, 31)(15, 38)(16, 37)(17, 36)(18, 35)(19, 40)(20, 39)(41, 62)(42, 61)(43, 66)(44, 65)(45, 64)(46, 63)(47, 70)(48, 69)(49, 68)(50, 67)(51, 74)(52, 73)(53, 72)(54, 71)(55, 78)(56, 77)(57, 76)(58, 75)(59, 80)(60, 79)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.147
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 22
	degree seq :: [ 40^2 ]

E9.151 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^2, Y3^-4 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 21, 41, 61, 4, 24, 44, 64, 12, 32, 52, 72, 19, 39, 59, 79, 9, 29, 49, 69, 16, 36, 56, 76, 6, 26, 46, 66, 15, 35, 55, 75, 13, 33, 53, 73, 5, 25, 45, 65)(2, 22, 42, 62, 7, 27, 47, 67, 17, 37, 57, 77, 20, 40, 60, 80, 14, 34, 54, 74, 11, 31, 51, 71, 3, 23, 43, 63, 10, 30, 50, 70, 18, 38, 58, 78, 8, 28, 48, 68)
	L = (1, 22)(2, 21)(3, 29)(4, 28)(5, 27)(6, 34)(7, 25)(8, 24)(9, 23)(10, 39)(11, 36)(12, 38)(13, 37)(14, 26)(15, 40)(16, 31)(17, 33)(18, 32)(19, 30)(20, 35)(41, 63)(42, 66)(43, 61)(44, 71)(45, 70)(46, 62)(47, 76)(48, 75)(49, 77)(50, 65)(51, 64)(52, 74)(53, 78)(54, 72)(55, 68)(56, 67)(57, 69)(58, 73)(59, 80)(60, 79)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.148
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 22
	degree seq :: [ 40^2 ]

E9.152 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 21, 41, 61, 4, 24, 44, 64)(2, 22, 42, 62, 6, 26, 46, 66)(3, 23, 43, 63, 8, 28, 48, 68)(5, 25, 45, 65, 10, 30, 50, 70)(7, 27, 47, 67, 12, 32, 52, 72)(9, 29, 49, 69, 14, 34, 54, 74)(11, 31, 51, 71, 16, 36, 56, 76)(13, 33, 53, 73, 18, 38, 58, 78)(15, 35, 55, 75, 19, 39, 59, 79)(17, 37, 57, 77, 20, 40, 60, 80)
	L = (1, 22)(2, 25)(3, 21)(4, 28)(5, 29)(6, 24)(7, 23)(8, 32)(9, 33)(10, 26)(11, 27)(12, 36)(13, 37)(14, 30)(15, 31)(16, 39)(17, 35)(18, 34)(19, 40)(20, 38)(41, 63)(42, 61)(43, 67)(44, 66)(45, 62)(46, 70)(47, 71)(48, 64)(49, 65)(50, 74)(51, 75)(52, 68)(53, 69)(54, 78)(55, 77)(56, 72)(57, 73)(58, 80)(59, 76)(60, 79)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.149
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 40 f = 14
	degree seq :: [ 8^10 ]

E9.153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ 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, (Y3 * Y2^-1)^10 ]
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, 56, 76, 52, 72, 48, 68, 44, 64)(42, 62, 45, 65, 49, 69, 53, 73, 57, 77, 60, 80, 58, 78, 54, 74, 50, 70, 46, 66)
	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, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 40 f = 12
	degree seq :: [ 4^10, 20^2 ]

E9.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ 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, Y2^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 21, 2, 22)(3, 23, 6, 26)(4, 24, 5, 25)(7, 27, 10, 30)(8, 28, 9, 29)(11, 31, 14, 34)(12, 32, 13, 33)(15, 35, 18, 38)(16, 36, 17, 37)(19, 39, 20, 40)(41, 61, 43, 63, 47, 67, 51, 71, 55, 75, 59, 79, 56, 76, 52, 72, 48, 68, 44, 64)(42, 62, 45, 65, 49, 69, 53, 73, 57, 77, 60, 80, 58, 78, 54, 74, 50, 70, 46, 66)
	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, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 40 f = 12
	degree seq :: [ 4^10, 20^2 ]

E9.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^5 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 6, 26)(4, 24, 7, 27)(5, 25, 8, 28)(9, 29, 13, 33)(10, 30, 14, 34)(11, 31, 15, 35)(12, 32, 16, 36)(17, 37, 19, 39)(18, 38, 20, 40)(41, 61, 43, 63, 49, 69, 56, 76, 48, 68, 42, 62, 46, 66, 53, 73, 52, 72, 45, 65)(44, 64, 50, 70, 57, 77, 60, 80, 55, 75, 47, 67, 54, 74, 59, 79, 58, 78, 51, 71)
	L = (1, 44)(2, 47)(3, 50)(4, 41)(5, 51)(6, 54)(7, 42)(8, 55)(9, 57)(10, 43)(11, 45)(12, 58)(13, 59)(14, 46)(15, 48)(16, 60)(17, 49)(18, 52)(19, 53)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 40 f = 12
	degree seq :: [ 4^10, 20^2 ]

E9.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y2^-1 * R)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2, Y2^2 * Y1 * Y3 * Y2^3 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 6, 26)(4, 24, 7, 27)(5, 25, 8, 28)(9, 29, 13, 33)(10, 30, 14, 34)(11, 31, 15, 35)(12, 32, 16, 36)(17, 37, 19, 39)(18, 38, 20, 40)(41, 61, 43, 63, 49, 69, 57, 77, 55, 75, 47, 67, 54, 74, 60, 80, 52, 72, 45, 65)(42, 62, 46, 66, 53, 73, 59, 79, 51, 71, 44, 64, 50, 70, 58, 78, 56, 76, 48, 68)
	L = (1, 44)(2, 47)(3, 50)(4, 41)(5, 51)(6, 54)(7, 42)(8, 55)(9, 58)(10, 43)(11, 45)(12, 59)(13, 60)(14, 46)(15, 48)(16, 57)(17, 56)(18, 49)(19, 52)(20, 53)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 40 f = 12
	degree seq :: [ 4^10, 20^2 ]

E9.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1 * Y3^-1)^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^2 * Y3^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 9, 29)(4, 24, 10, 30)(5, 25, 7, 27)(6, 26, 8, 28)(11, 31, 19, 39)(12, 32, 17, 37)(13, 33, 20, 40)(14, 34, 16, 36)(15, 35, 18, 38)(41, 61, 43, 63, 51, 71, 55, 75, 44, 64, 52, 72, 46, 66, 53, 73, 54, 74, 45, 65)(42, 62, 47, 67, 56, 76, 60, 80, 48, 68, 57, 77, 50, 70, 58, 78, 59, 79, 49, 69)
	L = (1, 44)(2, 48)(3, 52)(4, 54)(5, 55)(6, 41)(7, 57)(8, 59)(9, 60)(10, 42)(11, 46)(12, 45)(13, 43)(14, 51)(15, 53)(16, 50)(17, 49)(18, 47)(19, 56)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.159
Graph:: bipartite
	v = 12 e = 40 f = 12
	degree seq :: [ 4^10, 20^2 ]

E9.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|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, Y3^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 9, 29)(4, 24, 10, 30)(5, 25, 7, 27)(6, 26, 8, 28)(11, 31, 17, 37)(12, 32, 18, 38)(13, 33, 15, 35)(14, 34, 16, 36)(19, 39, 20, 40)(41, 61, 43, 63, 44, 64, 51, 71, 52, 72, 59, 79, 54, 74, 53, 73, 46, 66, 45, 65)(42, 62, 47, 67, 48, 68, 55, 75, 56, 76, 60, 80, 58, 78, 57, 77, 50, 70, 49, 69)
	L = (1, 44)(2, 48)(3, 51)(4, 52)(5, 43)(6, 41)(7, 55)(8, 56)(9, 47)(10, 42)(11, 59)(12, 54)(13, 45)(14, 46)(15, 60)(16, 58)(17, 49)(18, 50)(19, 53)(20, 57)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 40 f = 12
	degree seq :: [ 4^10, 20^2 ]

E9.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y3^5, (Y3^2 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 9, 29)(4, 24, 10, 30)(5, 25, 7, 27)(6, 26, 8, 28)(11, 31, 17, 37)(12, 32, 18, 38)(13, 33, 15, 35)(14, 34, 16, 36)(19, 39, 20, 40)(41, 61, 43, 63, 46, 66, 51, 71, 54, 74, 59, 79, 52, 72, 53, 73, 44, 64, 45, 65)(42, 62, 47, 67, 50, 70, 55, 75, 58, 78, 60, 80, 56, 76, 57, 77, 48, 68, 49, 69)
	L = (1, 44)(2, 48)(3, 45)(4, 52)(5, 53)(6, 41)(7, 49)(8, 56)(9, 57)(10, 42)(11, 43)(12, 54)(13, 59)(14, 46)(15, 47)(16, 58)(17, 60)(18, 50)(19, 51)(20, 55)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.157
Graph:: bipartite
	v = 12 e = 40 f = 12
	degree seq :: [ 4^10, 20^2 ]

E9.160 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 20, 20})
Quotient :: edge
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1 * T2, (F * T1)^2, (F * T2)^2, T1^10, (T2^-1 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 20, 16, 17, 12, 13, 8, 9, 4, 5)(21, 22, 26, 30, 34, 38, 36, 32, 28, 24)(23, 27, 31, 35, 39, 40, 37, 33, 29, 25)
	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) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E9.166
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 20 f = 1
	degree seq :: [ 10^2, 20 ]

E9.161 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 20, 20})
Quotient :: edge
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(21, 22, 26, 30, 34, 38, 37, 33, 29, 24)(23, 25, 27, 31, 35, 39, 40, 36, 32, 28)
	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) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E9.165
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 20 f = 1
	degree seq :: [ 10^2, 20 ]

E9.162 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 20, 20})
Quotient :: edge
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^2 * T1^3, T1 * T2^-6 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 15, 8, 2, 7, 11, 18, 20, 14, 6, 12, 4, 10, 17, 19, 13, 5)(21, 22, 26, 33, 35, 40, 37, 29, 31, 24)(23, 27, 32, 25, 28, 34, 39, 36, 38, 30)
	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) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E9.164
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 20 f = 1
	degree seq :: [ 10^2, 20 ]

E9.163 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 20, 20})
Quotient :: edge
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^3, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-6, (T2^3 * T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 18, 12, 6, 4, 10, 16, 20, 14, 8, 2, 7, 13, 19, 17, 11, 5)(21, 22, 26, 25, 28, 32, 31, 34, 38, 37, 40, 35, 39, 36, 29, 33, 30, 23, 27, 24)
	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) :: { ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E9.167
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 20 f = 2
	degree seq :: [ 20^2 ]

E9.164 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 20, 20})
Quotient :: loop
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1 * T2, (F * T1)^2, (F * T2)^2, T1^10, (T2^-1 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 2, 22, 7, 27, 6, 26, 11, 31, 10, 30, 15, 35, 14, 34, 19, 39, 18, 38, 20, 40, 16, 36, 17, 37, 12, 32, 13, 33, 8, 28, 9, 29, 4, 24, 5, 25)
	L = (1, 22)(2, 26)(3, 27)(4, 21)(5, 23)(6, 30)(7, 31)(8, 24)(9, 25)(10, 34)(11, 35)(12, 28)(13, 29)(14, 38)(15, 39)(16, 32)(17, 33)(18, 36)(19, 40)(20, 37)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.162
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 20 f = 3
	degree seq :: [ 40 ]

E9.165 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 20, 20})
Quotient :: loop
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^10 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 4, 24, 8, 28, 9, 29, 12, 32, 13, 33, 16, 36, 17, 37, 20, 40, 18, 38, 19, 39, 14, 34, 15, 35, 10, 30, 11, 31, 6, 26, 7, 27, 2, 22, 5, 25)
	L = (1, 22)(2, 26)(3, 25)(4, 21)(5, 27)(6, 30)(7, 31)(8, 23)(9, 24)(10, 34)(11, 35)(12, 28)(13, 29)(14, 38)(15, 39)(16, 32)(17, 33)(18, 37)(19, 40)(20, 36)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.161
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 20 f = 3
	degree seq :: [ 40 ]

E9.166 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 20, 20})
Quotient :: loop
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^2 * T1^3, T1 * T2^-6 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 9, 29, 16, 36, 15, 35, 8, 28, 2, 22, 7, 27, 11, 31, 18, 38, 20, 40, 14, 34, 6, 26, 12, 32, 4, 24, 10, 30, 17, 37, 19, 39, 13, 33, 5, 25)
	L = (1, 22)(2, 26)(3, 27)(4, 21)(5, 28)(6, 33)(7, 32)(8, 34)(9, 31)(10, 23)(11, 24)(12, 25)(13, 35)(14, 39)(15, 40)(16, 38)(17, 29)(18, 30)(19, 36)(20, 37)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.160
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 20 f = 3
	degree seq :: [ 40 ]

E9.167 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 20, 20})
Quotient :: loop
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2, (F * T2)^2, (F * T1)^2, T2^10, (T2^-1 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 7, 27, 11, 31, 15, 35, 19, 39, 17, 37, 13, 33, 9, 29, 5, 25)(2, 22, 6, 26, 10, 30, 14, 34, 18, 38, 20, 40, 16, 36, 12, 32, 8, 28, 4, 24)
	L = (1, 22)(2, 23)(3, 26)(4, 21)(5, 24)(6, 27)(7, 30)(8, 25)(9, 28)(10, 31)(11, 34)(12, 29)(13, 32)(14, 35)(15, 38)(16, 33)(17, 36)(18, 39)(19, 40)(20, 37)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E9.163
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 20 f = 2
	degree seq :: [ 20^2 ]

E9.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^10, Y1^10 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 10, 30, 14, 34, 18, 38, 17, 37, 13, 33, 9, 29, 4, 24)(3, 23, 5, 25, 7, 27, 11, 31, 15, 35, 19, 39, 20, 40, 16, 36, 12, 32, 8, 28)(41, 61, 43, 63, 44, 64, 48, 68, 49, 69, 52, 72, 53, 73, 56, 76, 57, 77, 60, 80, 58, 78, 59, 79, 54, 74, 55, 75, 50, 70, 51, 71, 46, 66, 47, 67, 42, 62, 45, 65)
	L = (1, 44)(2, 41)(3, 48)(4, 49)(5, 43)(6, 42)(7, 45)(8, 52)(9, 53)(10, 46)(11, 47)(12, 56)(13, 57)(14, 50)(15, 51)(16, 60)(17, 58)(18, 54)(19, 55)(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) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E9.174
Graph:: bipartite
	v = 3 e = 40 f = 21
	degree seq :: [ 20^2, 40 ]

E9.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-4 * Y1^2 * Y3^-4, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 10, 30, 14, 34, 18, 38, 16, 36, 12, 32, 8, 28, 4, 24)(3, 23, 7, 27, 11, 31, 15, 35, 19, 39, 20, 40, 17, 37, 13, 33, 9, 29, 5, 25)(41, 61, 43, 63, 42, 62, 47, 67, 46, 66, 51, 71, 50, 70, 55, 75, 54, 74, 59, 79, 58, 78, 60, 80, 56, 76, 57, 77, 52, 72, 53, 73, 48, 68, 49, 69, 44, 64, 45, 65)
	L = (1, 44)(2, 41)(3, 45)(4, 48)(5, 49)(6, 42)(7, 43)(8, 52)(9, 53)(10, 46)(11, 47)(12, 56)(13, 57)(14, 50)(15, 51)(16, 58)(17, 60)(18, 54)(19, 55)(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) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E9.175
Graph:: bipartite
	v = 3 e = 40 f = 21
	degree seq :: [ 20^2, 40 ]

E9.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3^-3 * Y2^2, Y3 * Y2^6, Y1^10 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 13, 33, 15, 35, 20, 40, 17, 37, 9, 29, 11, 31, 4, 24)(3, 23, 7, 27, 12, 32, 5, 25, 8, 28, 14, 34, 19, 39, 16, 36, 18, 38, 10, 30)(41, 61, 43, 63, 49, 69, 56, 76, 55, 75, 48, 68, 42, 62, 47, 67, 51, 71, 58, 78, 60, 80, 54, 74, 46, 66, 52, 72, 44, 64, 50, 70, 57, 77, 59, 79, 53, 73, 45, 65)
	L = (1, 44)(2, 41)(3, 50)(4, 51)(5, 52)(6, 42)(7, 43)(8, 45)(9, 57)(10, 58)(11, 49)(12, 47)(13, 46)(14, 48)(15, 53)(16, 59)(17, 60)(18, 56)(19, 54)(20, 55)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E9.173
Graph:: bipartite
	v = 3 e = 40 f = 21
	degree seq :: [ 20^2, 40 ]

E9.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y2^-1 * Y1^-7, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 12, 32, 18, 38, 15, 35, 9, 29, 5, 25, 8, 28, 14, 34, 20, 40, 16, 36, 10, 30, 3, 23, 7, 27, 13, 33, 19, 39, 17, 37, 11, 31, 4, 24)(41, 61, 43, 63, 49, 69, 44, 64, 50, 70, 55, 75, 51, 71, 56, 76, 58, 78, 57, 77, 60, 80, 52, 72, 59, 79, 54, 74, 46, 66, 53, 73, 48, 68, 42, 62, 47, 67, 45, 65)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 53)(7, 45)(8, 42)(9, 44)(10, 55)(11, 56)(12, 59)(13, 48)(14, 46)(15, 51)(16, 58)(17, 60)(18, 57)(19, 54)(20, 52)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.172
Graph:: bipartite
	v = 2 e = 40 f = 22
	degree seq :: [ 40^2 ]

E9.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^10, (Y3 * Y2^-1)^20, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (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)(41, 61, 42, 62, 46, 66, 50, 70, 54, 74, 58, 78, 57, 77, 53, 73, 49, 69, 44, 64)(43, 63, 45, 65, 47, 67, 51, 71, 55, 75, 59, 79, 60, 80, 56, 76, 52, 72, 48, 68)
	L = (1, 43)(2, 45)(3, 44)(4, 48)(5, 41)(6, 47)(7, 42)(8, 49)(9, 52)(10, 51)(11, 46)(12, 53)(13, 56)(14, 55)(15, 50)(16, 57)(17, 60)(18, 59)(19, 54)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E9.171
Graph:: simple bipartite
	v = 22 e = 40 f = 2
	degree seq :: [ 2^20, 20^2 ]

E9.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^10, (Y3 * Y2^-1)^10, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 21, 2, 22, 3, 23, 6, 26, 7, 27, 10, 30, 11, 31, 14, 34, 15, 35, 18, 38, 19, 39, 20, 40, 17, 37, 16, 36, 13, 33, 12, 32, 9, 29, 8, 28, 5, 25, 4, 24)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(47, 67)(48, 68)(49, 69)(50, 70)(51, 71)(52, 72)(53, 73)(54, 74)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)
	L = (1, 43)(2, 46)(3, 47)(4, 42)(5, 41)(6, 50)(7, 51)(8, 44)(9, 45)(10, 54)(11, 55)(12, 48)(13, 49)(14, 58)(15, 59)(16, 52)(17, 53)(18, 60)(19, 57)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E9.170
Graph:: bipartite
	v = 21 e = 40 f = 3
	degree seq :: [ 2^20, 40 ]

E9.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 21, 2, 22, 5, 25, 6, 26, 9, 29, 10, 30, 13, 33, 14, 34, 17, 37, 18, 38, 19, 39, 20, 40, 15, 35, 16, 36, 11, 31, 12, 32, 7, 27, 8, 28, 3, 23, 4, 24)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(47, 67)(48, 68)(49, 69)(50, 70)(51, 71)(52, 72)(53, 73)(54, 74)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)
	L = (1, 43)(2, 44)(3, 47)(4, 48)(5, 41)(6, 42)(7, 51)(8, 52)(9, 45)(10, 46)(11, 55)(12, 56)(13, 49)(14, 50)(15, 59)(16, 60)(17, 53)(18, 54)(19, 57)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E9.168
Graph:: bipartite
	v = 21 e = 40 f = 3
	degree seq :: [ 2^20, 40 ]

E9.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^3 * Y1^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-6, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 14, 34, 18, 38, 10, 30, 3, 23, 7, 27, 13, 33, 16, 36, 20, 40, 17, 37, 9, 29, 12, 32, 5, 25, 8, 28, 15, 35, 19, 39, 11, 31, 4, 24)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(47, 67)(48, 68)(49, 69)(50, 70)(51, 71)(52, 72)(53, 73)(54, 74)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 53)(7, 52)(8, 42)(9, 51)(10, 57)(11, 58)(12, 44)(13, 45)(14, 56)(15, 46)(16, 48)(17, 59)(18, 60)(19, 54)(20, 55)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E9.169
Graph:: bipartite
	v = 21 e = 40 f = 3
	degree seq :: [ 2^20, 40 ]

E9.176 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 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), T2^3 * T1^-3, T2^3 * T1^4, T2^21 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 21, 12, 4, 10, 16, 6, 15, 20, 11, 18, 8, 2, 7, 17, 19, 13, 5)(22, 23, 27, 35, 40, 32, 25)(24, 28, 36, 42, 34, 39, 31)(26, 29, 37, 30, 38, 41, 33)
	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) :: { ( 42^7 ), ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E9.185
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 21 f = 1
	degree seq :: [ 7^3, 21 ]

E9.177 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 21, 21})
Quotient :: edge
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 4, 10, 15, 11, 16, 20, 17, 21, 19, 12, 18, 14, 6, 13, 8, 2, 7, 5)(22, 23, 27, 33, 38, 32, 25)(24, 28, 34, 39, 42, 37, 31)(26, 29, 35, 40, 41, 36, 30)
	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) :: { ( 42^7 ), ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E9.186
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 21 f = 1
	degree seq :: [ 7^3, 21 ]

E9.178 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 21, 21})
Quotient :: edge
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^7, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 3, 8, 2, 7, 14, 6, 13, 19, 12, 18, 21, 16, 20, 17, 10, 15, 11, 4, 9, 5)(22, 23, 27, 33, 37, 31, 25)(24, 28, 34, 39, 41, 36, 30)(26, 29, 35, 40, 42, 38, 32)
	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) :: { ( 42^7 ), ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E9.183
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 21 f = 1
	degree seq :: [ 7^3, 21 ]

E9.179 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 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), T2^3 * T1^2, T1^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 20, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 21, 15, 6, 13, 5)(22, 23, 27, 35, 40, 32, 25)(24, 28, 34, 37, 42, 39, 31)(26, 29, 36, 41, 38, 30, 33)
	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) :: { ( 42^7 ), ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E9.184
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 21 f = 1
	degree seq :: [ 7^3, 21 ]

E9.180 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 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), T2^-3 * T1^2, T1^7, T1^7, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 21, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 20, 18, 11, 13, 5)(22, 23, 27, 35, 38, 32, 25)(24, 28, 36, 41, 40, 34, 31)(26, 29, 30, 37, 42, 39, 33)
	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) :: { ( 42^7 ), ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E9.187
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 21 f = 1
	degree seq :: [ 7^3, 21 ]

E9.181 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 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, (T2^-1 * T1^-1)^7 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 20, 16, 12, 8, 4, 2, 6, 10, 14, 18, 21, 17, 13, 9, 5)(22, 23, 24, 27, 28, 31, 32, 35, 36, 39, 40, 42, 41, 38, 37, 34, 33, 30, 29, 26, 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) :: { ( 14^21 ) }
Outer automorphisms :: reflexible
Dual of E9.189
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 21 f = 3
	degree seq :: [ 21^2 ]

E9.182 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 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), T1^4 * T2, T2^-1 * T1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 8, 2, 7, 15, 20, 14, 6, 11, 18, 21, 19, 12, 4, 10, 17, 13, 5)(22, 23, 27, 33, 26, 29, 35, 40, 34, 37, 41, 42, 38, 30, 36, 39, 31, 24, 28, 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) :: { ( 14^21 ) }
Outer automorphisms :: reflexible
Dual of E9.188
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 21 f = 3
	degree seq :: [ 21^2 ]

E9.183 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 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), T2^3 * T1^-3, T2^3 * T1^4, T2^21 ]
Map:: non-degenerate
	R = (1, 22, 3, 24, 9, 30, 14, 35, 21, 42, 12, 33, 4, 25, 10, 31, 16, 37, 6, 27, 15, 36, 20, 41, 11, 32, 18, 39, 8, 29, 2, 23, 7, 28, 17, 38, 19, 40, 13, 34, 5, 26)
	L = (1, 23)(2, 27)(3, 28)(4, 22)(5, 29)(6, 35)(7, 36)(8, 37)(9, 38)(10, 24)(11, 25)(12, 26)(13, 39)(14, 40)(15, 42)(16, 30)(17, 41)(18, 31)(19, 32)(20, 33)(21, 34)
	local type(s) :: { ( 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21 ) }
Outer automorphisms :: reflexible
Dual of E9.178
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 21 f = 4
	degree seq :: [ 42 ]

E9.184 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 21, 21})
Quotient :: loop
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^7 ]
Map:: non-degenerate
	R = (1, 22, 3, 24, 9, 30, 4, 25, 10, 31, 15, 36, 11, 32, 16, 37, 20, 41, 17, 38, 21, 42, 19, 40, 12, 33, 18, 39, 14, 35, 6, 27, 13, 34, 8, 29, 2, 23, 7, 28, 5, 26)
	L = (1, 23)(2, 27)(3, 28)(4, 22)(5, 29)(6, 33)(7, 34)(8, 35)(9, 26)(10, 24)(11, 25)(12, 38)(13, 39)(14, 40)(15, 30)(16, 31)(17, 32)(18, 42)(19, 41)(20, 36)(21, 37)
	local type(s) :: { ( 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21 ) }
Outer automorphisms :: reflexible
Dual of E9.179
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 21 f = 4
	degree seq :: [ 42 ]

E9.185 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 21, 21})
Quotient :: loop
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^7, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 3, 24, 8, 29, 2, 23, 7, 28, 14, 35, 6, 27, 13, 34, 19, 40, 12, 33, 18, 39, 21, 42, 16, 37, 20, 41, 17, 38, 10, 31, 15, 36, 11, 32, 4, 25, 9, 30, 5, 26)
	L = (1, 23)(2, 27)(3, 28)(4, 22)(5, 29)(6, 33)(7, 34)(8, 35)(9, 24)(10, 25)(11, 26)(12, 37)(13, 39)(14, 40)(15, 30)(16, 31)(17, 32)(18, 41)(19, 42)(20, 36)(21, 38)
	local type(s) :: { ( 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21 ) }
Outer automorphisms :: reflexible
Dual of E9.176
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 21 f = 4
	degree seq :: [ 42 ]

E9.186 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 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), T2^3 * T1^2, T1^7 ]
Map:: non-degenerate
	R = (1, 22, 3, 24, 9, 30, 11, 32, 18, 39, 20, 41, 14, 35, 16, 37, 8, 29, 2, 23, 7, 28, 12, 33, 4, 25, 10, 31, 17, 38, 19, 40, 21, 42, 15, 36, 6, 27, 13, 34, 5, 26)
	L = (1, 23)(2, 27)(3, 28)(4, 22)(5, 29)(6, 35)(7, 34)(8, 36)(9, 33)(10, 24)(11, 25)(12, 26)(13, 37)(14, 40)(15, 41)(16, 42)(17, 30)(18, 31)(19, 32)(20, 38)(21, 39)
	local type(s) :: { ( 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21 ) }
Outer automorphisms :: reflexible
Dual of E9.177
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 21 f = 4
	degree seq :: [ 42 ]

E9.187 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 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), T2^-3 * T1^2, T1^7, T1^7, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 3, 24, 9, 30, 6, 27, 15, 36, 21, 42, 17, 38, 19, 40, 12, 33, 4, 25, 10, 31, 8, 29, 2, 23, 7, 28, 16, 37, 14, 35, 20, 41, 18, 39, 11, 32, 13, 34, 5, 26)
	L = (1, 23)(2, 27)(3, 28)(4, 22)(5, 29)(6, 35)(7, 36)(8, 30)(9, 37)(10, 24)(11, 25)(12, 26)(13, 31)(14, 38)(15, 41)(16, 42)(17, 32)(18, 33)(19, 34)(20, 40)(21, 39)
	local type(s) :: { ( 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21, 7, 21 ) }
Outer automorphisms :: reflexible
Dual of E9.180
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 21 f = 4
	degree seq :: [ 42 ]

E9.188 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 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), T2^3 * T1^-3, T2 * T1^6, T2^7, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 22, 3, 24, 9, 30, 14, 35, 19, 40, 13, 34, 5, 26)(2, 23, 7, 28, 17, 38, 20, 41, 11, 32, 18, 39, 8, 29)(4, 25, 10, 31, 16, 37, 6, 27, 15, 36, 21, 42, 12, 33)
	L = (1, 23)(2, 27)(3, 28)(4, 22)(5, 29)(6, 35)(7, 36)(8, 37)(9, 38)(10, 24)(11, 25)(12, 26)(13, 39)(14, 41)(15, 40)(16, 30)(17, 42)(18, 31)(19, 32)(20, 33)(21, 34)
	local type(s) :: { ( 21^14 ) }
Outer automorphisms :: reflexible
Dual of E9.182
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 21 f = 2
	degree seq :: [ 14^3 ]

E9.189 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 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), T2^2 * T1^3, T2^7, T2^-7, T2^7, T2^2 * T1^-1 * T2^3 * T1^-2 ]
Map:: non-degenerate
	R = (1, 22, 3, 24, 9, 30, 16, 37, 19, 40, 13, 34, 5, 26)(2, 23, 7, 28, 11, 32, 18, 39, 21, 42, 15, 36, 8, 29)(4, 25, 10, 31, 17, 38, 20, 41, 14, 35, 6, 27, 12, 33)
	L = (1, 23)(2, 27)(3, 28)(4, 22)(5, 29)(6, 34)(7, 33)(8, 35)(9, 32)(10, 24)(11, 25)(12, 26)(13, 36)(14, 40)(15, 41)(16, 39)(17, 30)(18, 31)(19, 42)(20, 37)(21, 38)
	local type(s) :: { ( 21^14 ) }
Outer automorphisms :: reflexible
Dual of E9.181
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 21 f = 2
	degree seq :: [ 14^3 ]

E9.190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y1, (R * Y1)^2, Y3^2 * Y2^3 * Y1^-1, Y2 * Y3^-2 * Y2^2 * Y3^-2, Y1^7, (Y3^-2 * Y1)^7, (Y2^-1 * Y1^-1)^21 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 14, 35, 19, 40, 11, 32, 4, 25)(3, 24, 7, 28, 15, 36, 21, 42, 13, 34, 18, 39, 10, 31)(5, 26, 8, 29, 16, 37, 9, 30, 17, 38, 20, 41, 12, 33)(43, 64, 45, 66, 51, 72, 56, 77, 63, 84, 54, 75, 46, 67, 52, 73, 58, 79, 48, 69, 57, 78, 62, 83, 53, 74, 60, 81, 50, 71, 44, 65, 49, 70, 59, 80, 61, 82, 55, 76, 47, 68)
	L = (1, 46)(2, 43)(3, 52)(4, 53)(5, 54)(6, 44)(7, 45)(8, 47)(9, 58)(10, 60)(11, 61)(12, 62)(13, 63)(14, 48)(15, 49)(16, 50)(17, 51)(18, 55)(19, 56)(20, 59)(21, 57)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 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 E9.201
Graph:: bipartite
	v = 4 e = 42 f = 22
	degree seq :: [ 14^3, 42 ]

E9.191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^-1 * Y1 * Y2^-2 * Y1, Y3^7, Y3^3 * Y1^-4, Y2^-21 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 14, 35, 17, 38, 11, 32, 4, 25)(3, 24, 7, 28, 15, 36, 20, 41, 19, 40, 13, 34, 10, 31)(5, 26, 8, 29, 9, 30, 16, 37, 21, 42, 18, 39, 12, 33)(43, 64, 45, 66, 51, 72, 48, 69, 57, 78, 63, 84, 59, 80, 61, 82, 54, 75, 46, 67, 52, 73, 50, 71, 44, 65, 49, 70, 58, 79, 56, 77, 62, 83, 60, 81, 53, 74, 55, 76, 47, 68)
	L = (1, 46)(2, 43)(3, 52)(4, 53)(5, 54)(6, 44)(7, 45)(8, 47)(9, 50)(10, 55)(11, 59)(12, 60)(13, 61)(14, 48)(15, 49)(16, 51)(17, 56)(18, 63)(19, 62)(20, 57)(21, 58)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 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 E9.203
Graph:: bipartite
	v = 4 e = 42 f = 22
	degree seq :: [ 14^3, 42 ]

E9.192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3^-2 * Y2^3, Y2 * Y3 * Y2^2 * Y1^3, Y3 * Y1^-6, Y3^14 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 14, 35, 19, 40, 11, 32, 4, 25)(3, 24, 7, 28, 13, 34, 16, 37, 21, 42, 18, 39, 10, 31)(5, 26, 8, 29, 15, 36, 20, 41, 17, 38, 9, 30, 12, 33)(43, 64, 45, 66, 51, 72, 53, 74, 60, 81, 62, 83, 56, 77, 58, 79, 50, 71, 44, 65, 49, 70, 54, 75, 46, 67, 52, 73, 59, 80, 61, 82, 63, 84, 57, 78, 48, 69, 55, 76, 47, 68)
	L = (1, 46)(2, 43)(3, 52)(4, 53)(5, 54)(6, 44)(7, 45)(8, 47)(9, 59)(10, 60)(11, 61)(12, 51)(13, 49)(14, 48)(15, 50)(16, 55)(17, 62)(18, 63)(19, 56)(20, 57)(21, 58)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 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 E9.200
Graph:: bipartite
	v = 4 e = 42 f = 22
	degree seq :: [ 14^3, 42 ]

E9.193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2^-3 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y1^7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 12, 33, 17, 38, 11, 32, 4, 25)(3, 24, 7, 28, 13, 34, 18, 39, 21, 42, 16, 37, 10, 31)(5, 26, 8, 29, 14, 35, 19, 40, 20, 41, 15, 36, 9, 30)(43, 64, 45, 66, 51, 72, 46, 67, 52, 73, 57, 78, 53, 74, 58, 79, 62, 83, 59, 80, 63, 84, 61, 82, 54, 75, 60, 81, 56, 77, 48, 69, 55, 76, 50, 71, 44, 65, 49, 70, 47, 68)
	L = (1, 46)(2, 43)(3, 52)(4, 53)(5, 51)(6, 44)(7, 45)(8, 47)(9, 57)(10, 58)(11, 59)(12, 48)(13, 49)(14, 50)(15, 62)(16, 63)(17, 54)(18, 55)(19, 56)(20, 61)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 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 E9.202
Graph:: bipartite
	v = 4 e = 42 f = 22
	degree seq :: [ 14^3, 42 ]

E9.194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^3 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 12, 33, 16, 37, 10, 31, 4, 25)(3, 24, 7, 28, 13, 34, 18, 39, 20, 41, 15, 36, 9, 30)(5, 26, 8, 29, 14, 35, 19, 40, 21, 42, 17, 38, 11, 32)(43, 64, 45, 66, 50, 71, 44, 65, 49, 70, 56, 77, 48, 69, 55, 76, 61, 82, 54, 75, 60, 81, 63, 84, 58, 79, 62, 83, 59, 80, 52, 73, 57, 78, 53, 74, 46, 67, 51, 72, 47, 68)
	L = (1, 46)(2, 43)(3, 51)(4, 52)(5, 53)(6, 44)(7, 45)(8, 47)(9, 57)(10, 58)(11, 59)(12, 48)(13, 49)(14, 50)(15, 62)(16, 54)(17, 63)(18, 55)(19, 56)(20, 60)(21, 61)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 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 E9.199
Graph:: bipartite
	v = 4 e = 42 f = 22
	degree seq :: [ 14^3, 42 ]

E9.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^10, (Y3^-1 * Y1^-1)^7 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 10, 31, 14, 35, 18, 39, 21, 42, 17, 38, 13, 34, 9, 30, 5, 26, 3, 24, 7, 28, 11, 32, 15, 36, 19, 40, 20, 41, 16, 37, 12, 33, 8, 29, 4, 25)(43, 64, 45, 66, 44, 65, 49, 70, 48, 69, 53, 74, 52, 73, 57, 78, 56, 77, 61, 82, 60, 81, 62, 83, 63, 84, 58, 79, 59, 80, 54, 75, 55, 76, 50, 71, 51, 72, 46, 67, 47, 68)
	L = (1, 45)(2, 49)(3, 44)(4, 47)(5, 43)(6, 53)(7, 48)(8, 51)(9, 46)(10, 57)(11, 52)(12, 55)(13, 50)(14, 61)(15, 56)(16, 59)(17, 54)(18, 62)(19, 60)(20, 63)(21, 58)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E9.198
Graph:: bipartite
	v = 2 e = 42 f = 24
	degree seq :: [ 42^2 ]

E9.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y1, Y2^-1), Y2 * Y1 * Y2^3, Y1^-1 * Y2 * Y1^-4, (Y3^-1 * Y1^-1)^7 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 14, 35, 10, 31, 3, 24, 7, 28, 15, 36, 20, 41, 18, 39, 9, 30, 13, 34, 17, 38, 21, 42, 19, 40, 12, 33, 5, 26, 8, 29, 16, 37, 11, 32, 4, 25)(43, 64, 45, 66, 51, 72, 54, 75, 46, 67, 52, 73, 60, 81, 61, 82, 53, 74, 56, 77, 62, 83, 63, 84, 58, 79, 48, 69, 57, 78, 59, 80, 50, 71, 44, 65, 49, 70, 55, 76, 47, 68)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 57)(7, 55)(8, 44)(9, 54)(10, 60)(11, 56)(12, 46)(13, 47)(14, 62)(15, 59)(16, 48)(17, 50)(18, 61)(19, 53)(20, 63)(21, 58)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E9.197
Graph:: bipartite
	v = 2 e = 42 f = 24
	degree seq :: [ 42^2 ]

E9.197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 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^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-3 * Y2^-3, Y2^-1 * Y3^6, Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2, Y2^7, (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, 56, 77, 61, 82, 53, 74, 46, 67)(45, 66, 49, 70, 57, 78, 55, 76, 60, 81, 63, 84, 52, 73)(47, 68, 50, 71, 58, 79, 62, 83, 51, 72, 59, 80, 54, 75)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 57)(7, 59)(8, 44)(9, 61)(10, 62)(11, 63)(12, 46)(13, 47)(14, 55)(15, 54)(16, 48)(17, 53)(18, 50)(19, 60)(20, 56)(21, 58)(22, 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 ), ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E9.196
Graph:: simple bipartite
	v = 24 e = 42 f = 2
	degree seq :: [ 2^21, 14^3 ]

E9.198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 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^-2 * Y2 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^7, (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, 58, 79, 52, 73, 46, 67)(45, 66, 49, 70, 55, 76, 60, 81, 62, 83, 57, 78, 51, 72)(47, 68, 50, 71, 56, 77, 61, 82, 63, 84, 59, 80, 53, 74)
	L = (1, 45)(2, 49)(3, 50)(4, 51)(5, 43)(6, 55)(7, 56)(8, 44)(9, 47)(10, 57)(11, 46)(12, 60)(13, 61)(14, 48)(15, 53)(16, 62)(17, 52)(18, 63)(19, 54)(20, 59)(21, 58)(22, 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 ), ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E9.195
Graph:: simple bipartite
	v = 24 e = 42 f = 2
	degree seq :: [ 2^21, 14^3 ]

E9.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), Y3^2 * Y1^-1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1^3, (Y3 * Y2^-1)^7, (Y1^-1 * Y3^-1)^21 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 14, 35, 20, 41, 12, 33, 5, 26, 8, 29, 16, 37, 9, 30, 17, 38, 21, 42, 13, 34, 18, 39, 10, 31, 3, 24, 7, 28, 15, 36, 19, 40, 11, 32, 4, 25)(43, 64)(44, 65)(45, 66)(46, 67)(47, 68)(48, 69)(49, 70)(50, 71)(51, 72)(52, 73)(53, 74)(54, 75)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(61, 82)(62, 83)(63, 84)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 57)(7, 59)(8, 44)(9, 56)(10, 58)(11, 60)(12, 46)(13, 47)(14, 61)(15, 63)(16, 48)(17, 62)(18, 50)(19, 55)(20, 53)(21, 54)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E9.194
Graph:: bipartite
	v = 22 e = 42 f = 4
	degree seq :: [ 2^21, 42 ]

E9.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|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, Y3^7, (Y3 * Y2^-1)^7 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 5, 26, 8, 29, 12, 33, 11, 32, 14, 35, 18, 39, 17, 38, 20, 41, 21, 42, 15, 36, 19, 40, 16, 37, 9, 30, 13, 34, 10, 31, 3, 24, 7, 28, 4, 25)(43, 64)(44, 65)(45, 66)(46, 67)(47, 68)(48, 69)(49, 70)(50, 71)(51, 72)(52, 73)(53, 74)(54, 75)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(61, 82)(62, 83)(63, 84)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 46)(7, 55)(8, 44)(9, 57)(10, 58)(11, 47)(12, 48)(13, 61)(14, 50)(15, 59)(16, 63)(17, 53)(18, 54)(19, 62)(20, 56)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E9.192
Graph:: bipartite
	v = 22 e = 42 f = 4
	degree seq :: [ 2^21, 42 ]

E9.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^-3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^7, (Y3 * Y2^-1)^7, (Y1^-1 * Y3^-1)^21 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 3, 24, 7, 28, 12, 33, 9, 30, 13, 34, 18, 39, 15, 36, 19, 40, 21, 42, 17, 38, 20, 41, 16, 37, 11, 32, 14, 35, 10, 31, 5, 26, 8, 29, 4, 25)(43, 64)(44, 65)(45, 66)(46, 67)(47, 68)(48, 69)(49, 70)(50, 71)(51, 72)(52, 73)(53, 74)(54, 75)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(61, 82)(62, 83)(63, 84)
	L = (1, 45)(2, 49)(3, 51)(4, 48)(5, 43)(6, 54)(7, 55)(8, 44)(9, 57)(10, 46)(11, 47)(12, 60)(13, 61)(14, 50)(15, 59)(16, 52)(17, 53)(18, 63)(19, 62)(20, 56)(21, 58)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E9.190
Graph:: bipartite
	v = 22 e = 42 f = 4
	degree seq :: [ 2^21, 42 ]

E9.202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^2 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^7, Y3^7, Y3^-7, Y3^14, (Y3 * Y2^-1)^7 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 13, 34, 15, 36, 20, 41, 16, 37, 18, 39, 10, 31, 3, 24, 7, 28, 12, 33, 5, 26, 8, 29, 14, 35, 19, 40, 21, 42, 17, 38, 9, 30, 11, 32, 4, 25)(43, 64)(44, 65)(45, 66)(46, 67)(47, 68)(48, 69)(49, 70)(50, 71)(51, 72)(52, 73)(53, 74)(54, 75)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(61, 82)(62, 83)(63, 84)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 54)(7, 53)(8, 44)(9, 58)(10, 59)(11, 60)(12, 46)(13, 47)(14, 48)(15, 50)(16, 61)(17, 62)(18, 63)(19, 55)(20, 56)(21, 57)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E9.193
Graph:: bipartite
	v = 22 e = 42 f = 4
	degree seq :: [ 2^21, 42 ]

E9.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^-2 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^-7, Y3^-7, Y3^14, (Y3 * Y2^-1)^7, Y3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1^2 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 9, 30, 15, 36, 20, 41, 19, 40, 17, 38, 12, 33, 5, 26, 8, 29, 10, 31, 3, 24, 7, 28, 14, 35, 16, 37, 21, 42, 18, 39, 13, 34, 11, 32, 4, 25)(43, 64)(44, 65)(45, 66)(46, 67)(47, 68)(48, 69)(49, 70)(50, 71)(51, 72)(52, 73)(53, 74)(54, 75)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(61, 82)(62, 83)(63, 84)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 56)(7, 57)(8, 44)(9, 58)(10, 48)(11, 50)(12, 46)(13, 47)(14, 62)(15, 63)(16, 61)(17, 53)(18, 54)(19, 55)(20, 60)(21, 59)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E9.191
Graph:: bipartite
	v = 22 e = 42 f = 4
	degree seq :: [ 2^21, 42 ]

E9.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3^-1 * Y1, Y3^4, (Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 8, 32)(5, 29, 7, 31)(6, 30, 10, 34)(11, 35, 18, 42)(12, 36, 20, 44)(13, 37, 16, 40)(14, 38, 19, 43)(15, 39, 17, 41)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 61, 85, 59, 83)(54, 78, 63, 87, 60, 84)(56, 80, 66, 90, 64, 88)(58, 82, 68, 92, 65, 89)(62, 86, 69, 93, 70, 94)(67, 91, 71, 95, 72, 96)
	L = (1, 52)(2, 56)(3, 59)(4, 62)(5, 61)(6, 49)(7, 64)(8, 67)(9, 66)(10, 50)(11, 69)(12, 51)(13, 70)(14, 54)(15, 53)(16, 71)(17, 55)(18, 72)(19, 58)(20, 57)(21, 60)(22, 63)(23, 65)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.209
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y3)^2, (Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, (R * Y1)^2, Y2^4, (Y2^-1, Y1^-1) ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 7, 31, 12, 36)(4, 28, 13, 37, 8, 32)(6, 30, 9, 33, 15, 39)(10, 34, 16, 40, 20, 44)(11, 35, 21, 45, 17, 41)(14, 38, 22, 46, 18, 42)(19, 43, 24, 48, 23, 47)(49, 73, 51, 75, 58, 82, 54, 78)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 59, 83, 67, 91, 62, 86)(53, 77, 60, 84, 68, 92, 63, 87)(56, 80, 65, 89, 71, 95, 66, 90)(61, 85, 69, 93, 72, 96, 70, 94)
	L = (1, 52)(2, 56)(3, 59)(4, 49)(5, 61)(6, 62)(7, 65)(8, 50)(9, 66)(10, 67)(11, 51)(12, 69)(13, 53)(14, 54)(15, 70)(16, 71)(17, 55)(18, 57)(19, 58)(20, 72)(21, 60)(22, 63)(23, 64)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.208
Graph:: simple bipartite
	v = 14 e = 48 f = 18
	degree seq :: [ 6^8, 8^6 ]

E9.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y3)^2, (Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, (R * Y1)^2, Y2^4, Y2 * Y1^-1 * Y2^-1 * Y1^-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, 15, 39, 9, 33)(11, 35, 16, 40, 19, 43)(12, 36, 17, 41, 20, 44)(14, 38, 18, 42, 22, 46)(21, 45, 24, 48, 23, 47)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 60, 84, 69, 93, 62, 86)(53, 77, 58, 82, 67, 91, 63, 87)(56, 80, 65, 89, 71, 95, 66, 90)(61, 85, 68, 92, 72, 96, 70, 94)
	L = (1, 52)(2, 56)(3, 60)(4, 49)(5, 61)(6, 62)(7, 65)(8, 50)(9, 66)(10, 68)(11, 69)(12, 51)(13, 53)(14, 54)(15, 70)(16, 71)(17, 55)(18, 57)(19, 72)(20, 58)(21, 59)(22, 63)(23, 64)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.207
Graph:: simple bipartite
	v = 14 e = 48 f = 18
	degree seq :: [ 6^8, 8^6 ]

E9.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3)^2, (Y3 * Y2)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 5, 29)(3, 27, 7, 31, 13, 37, 10, 34)(4, 28, 8, 32, 14, 38, 12, 36)(9, 33, 15, 39, 20, 44, 18, 42)(11, 35, 16, 40, 21, 45, 19, 43)(17, 41, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 59, 83)(53, 77, 58, 82)(54, 78, 61, 85)(56, 80, 64, 88)(57, 81, 65, 89)(60, 84, 67, 91)(62, 86, 69, 93)(63, 87, 70, 94)(66, 90, 71, 95)(68, 92, 72, 96)
	L = (1, 52)(2, 56)(3, 57)(4, 49)(5, 60)(6, 62)(7, 63)(8, 50)(9, 51)(10, 66)(11, 65)(12, 53)(13, 68)(14, 54)(15, 55)(16, 70)(17, 59)(18, 58)(19, 71)(20, 61)(21, 72)(22, 64)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.206
Graph:: simple bipartite
	v = 18 e = 48 f = 14
	degree seq :: [ 4^12, 8^6 ]

E9.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y1^4, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y1^-2)^2, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 5, 29)(3, 27, 9, 33, 15, 39, 11, 35)(4, 28, 8, 32, 16, 40, 13, 37)(7, 31, 17, 41, 14, 38, 19, 43)(10, 34, 20, 44, 23, 47, 21, 45)(12, 36, 18, 42, 24, 48, 22, 46)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 60, 84)(53, 77, 62, 86)(54, 78, 63, 87)(56, 80, 68, 92)(57, 81, 66, 90)(58, 82, 67, 91)(59, 83, 70, 94)(61, 85, 69, 93)(64, 88, 72, 96)(65, 89, 71, 95)
	L = (1, 52)(2, 56)(3, 58)(4, 49)(5, 61)(6, 64)(7, 66)(8, 50)(9, 68)(10, 51)(11, 69)(12, 67)(13, 53)(14, 70)(15, 71)(16, 54)(17, 72)(18, 55)(19, 60)(20, 57)(21, 59)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.205
Graph:: simple bipartite
	v = 18 e = 48 f = 14
	degree seq :: [ 4^12, 8^6 ]

E9.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y3^2 * Y2^2, (Y3, Y2^-1), Y3^2 * Y2^-2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^4, Y2^4, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 6, 30, 11, 35)(4, 28, 15, 39, 7, 31, 16, 40)(10, 34, 19, 43, 12, 36, 20, 44)(13, 37, 21, 45, 14, 38, 22, 46)(17, 41, 23, 47, 18, 42, 24, 48)(49, 73, 51, 75, 56, 80, 54, 78)(50, 74, 57, 81, 53, 77, 59, 83)(52, 76, 61, 85, 55, 79, 62, 86)(58, 82, 65, 89, 60, 84, 66, 90)(63, 87, 69, 93, 64, 88, 70, 94)(67, 91, 71, 95, 68, 92, 72, 96)
	L = (1, 52)(2, 58)(3, 61)(4, 56)(5, 60)(6, 62)(7, 49)(8, 55)(9, 65)(10, 53)(11, 66)(12, 50)(13, 54)(14, 51)(15, 68)(16, 67)(17, 59)(18, 57)(19, 63)(20, 64)(21, 72)(22, 71)(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) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.204
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y2^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 11, 35, 8, 32)(4, 28, 9, 33, 7, 31)(6, 30, 16, 40, 10, 34)(12, 36, 18, 42, 21, 45)(13, 37, 19, 43, 14, 38)(15, 39, 17, 41, 20, 44)(22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 60, 84, 54, 78)(50, 74, 56, 80, 66, 90, 58, 82)(52, 76, 62, 86, 70, 94, 63, 87)(53, 77, 59, 83, 69, 93, 64, 88)(55, 79, 61, 85, 71, 95, 65, 89)(57, 81, 67, 91, 72, 96, 68, 92)
	L = (1, 52)(2, 57)(3, 61)(4, 50)(5, 55)(6, 65)(7, 49)(8, 62)(9, 53)(10, 63)(11, 67)(12, 70)(13, 59)(14, 51)(15, 54)(16, 68)(17, 64)(18, 72)(19, 56)(20, 58)(21, 71)(22, 66)(23, 60)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.211
Graph:: simple bipartite
	v = 14 e = 48 f = 18
	degree seq :: [ 6^8, 8^6 ]

E9.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-3 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 8, 32, 16, 40, 12, 36)(4, 28, 10, 34, 17, 41, 14, 38)(6, 30, 9, 33, 18, 42, 15, 39)(11, 35, 20, 44, 23, 47, 21, 45)(13, 37, 19, 43, 24, 48, 22, 46)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 59, 83)(53, 77, 60, 84)(54, 78, 61, 85)(55, 79, 64, 88)(57, 81, 67, 91)(58, 82, 68, 92)(62, 86, 69, 93)(63, 87, 70, 94)(65, 89, 71, 95)(66, 90, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 61)(5, 63)(6, 49)(7, 65)(8, 67)(9, 68)(10, 50)(11, 54)(12, 70)(13, 51)(14, 53)(15, 69)(16, 71)(17, 72)(18, 55)(19, 58)(20, 56)(21, 60)(22, 62)(23, 66)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.210
Graph:: simple bipartite
	v = 18 e = 48 f = 14
	degree seq :: [ 4^12, 8^6 ]

E9.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y2^3, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * R * Y2^-1 * R, Y1 * Y2 * Y3 * Y2 * Y3, (Y2^-1 * Y1)^3, (Y3 * Y1 * Y2^-1)^2, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 11, 35)(5, 29, 14, 38)(6, 30, 16, 40)(7, 31, 17, 41)(8, 32, 19, 43)(10, 34, 13, 37)(12, 36, 20, 44)(15, 39, 18, 42)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 53, 77)(50, 74, 54, 78, 56, 80)(52, 76, 60, 84, 61, 85)(55, 79, 66, 90, 58, 82)(57, 81, 67, 91, 70, 94)(59, 83, 63, 87, 69, 93)(62, 86, 71, 95, 64, 88)(65, 89, 68, 92, 72, 96)
	L = (1, 52)(2, 55)(3, 58)(4, 49)(5, 63)(6, 61)(7, 50)(8, 68)(9, 69)(10, 51)(11, 71)(12, 62)(13, 54)(14, 60)(15, 53)(16, 72)(17, 70)(18, 67)(19, 66)(20, 56)(21, 57)(22, 65)(23, 59)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.215
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y1^3, Y3^3, Y3^-1 * Y1^-1 * Y2^-2, Y2^4, (Y1 * Y3)^2, Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, Y2^2 * Y3^-1 * Y1^-1, (R * Y1)^2, Y1 * Y2 * Y1^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 14, 38)(4, 28, 16, 40, 17, 41)(6, 30, 15, 39, 8, 32)(7, 31, 20, 44, 9, 33)(10, 34, 22, 46, 18, 42)(11, 35, 23, 47, 19, 43)(13, 37, 24, 48, 21, 45)(49, 73, 51, 75, 57, 81, 54, 78)(50, 74, 56, 80, 67, 91, 58, 82)(52, 76, 60, 84, 53, 77, 66, 90)(55, 79, 62, 86, 65, 89, 61, 85)(59, 83, 63, 87, 68, 92, 69, 93)(64, 88, 70, 94, 71, 95, 72, 96)
	L = (1, 52)(2, 57)(3, 61)(4, 55)(5, 67)(6, 58)(7, 49)(8, 69)(9, 59)(10, 60)(11, 50)(12, 54)(13, 63)(14, 66)(15, 51)(16, 53)(17, 71)(18, 72)(19, 64)(20, 65)(21, 70)(22, 56)(23, 68)(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, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.214
Graph:: bipartite
	v = 14 e = 48 f = 18
	degree seq :: [ 6^8, 8^6 ]

E9.214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y1 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y3^-1 * Y2 * Y3 * Y1^2, Y1^-2 * Y3^-1 * Y2 * Y3, (Y3 * Y2)^3, (Y3 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 11, 35, 20, 44, 8, 32)(4, 28, 14, 38, 12, 36, 10, 34)(6, 30, 16, 40, 24, 48, 19, 43)(9, 33, 13, 37, 22, 46, 18, 42)(15, 39, 17, 41, 21, 45, 23, 47)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 63, 87)(53, 77, 59, 83)(54, 78, 66, 90)(55, 79, 68, 92)(57, 81, 67, 91)(58, 82, 65, 89)(60, 84, 69, 93)(61, 85, 72, 96)(62, 86, 71, 95)(64, 88, 70, 94)
	L = (1, 52)(2, 57)(3, 60)(4, 54)(5, 64)(6, 49)(7, 69)(8, 70)(9, 58)(10, 50)(11, 67)(12, 61)(13, 51)(14, 59)(15, 72)(16, 65)(17, 53)(18, 55)(19, 62)(20, 63)(21, 66)(22, 71)(23, 56)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.213
Graph:: simple bipartite
	v = 18 e = 48 f = 14
	degree seq :: [ 4^12, 8^6 ]

E9.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y1^4, Y2^-1 * Y1^-2 * Y3, (R * Y1)^2, Y2 * Y3 * Y1^-2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y2^4, Y2^-2 * Y3 * Y2 * Y1^-2, (Y2^-1 * Y1)^3, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 11, 35, 18, 42, 13, 37)(4, 28, 14, 38, 6, 30, 16, 40)(8, 32, 19, 43, 17, 41, 21, 45)(9, 33, 22, 46, 10, 34, 24, 48)(12, 36, 23, 47, 15, 39, 20, 44)(49, 73, 51, 75, 60, 84, 54, 78)(50, 74, 56, 80, 68, 92, 58, 82)(52, 76, 63, 87, 66, 90, 55, 79)(53, 77, 57, 81, 71, 95, 65, 89)(59, 83, 67, 91, 62, 86, 70, 94)(61, 85, 72, 96, 64, 88, 69, 93)
	L = (1, 52)(2, 57)(3, 55)(4, 49)(5, 56)(6, 63)(7, 51)(8, 53)(9, 50)(10, 71)(11, 72)(12, 66)(13, 67)(14, 69)(15, 54)(16, 70)(17, 68)(18, 60)(19, 61)(20, 65)(21, 62)(22, 64)(23, 58)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.212
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.216 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y3 * Y1^-1)^2, Y3^2 * Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^2, Y1 * Y2 * Y1^-1 * Y3^2, Y1 * Y3 * Y1 * Y3 * Y2^-1, (Y2 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 4, 28, 12, 36, 24, 48, 18, 42, 7, 31)(2, 26, 9, 33, 23, 47, 21, 45, 6, 30, 11, 35)(3, 27, 13, 37, 16, 40, 22, 46, 8, 32, 14, 38)(5, 29, 17, 41, 20, 44, 15, 39, 10, 34, 19, 43)(49, 50, 53)(51, 60, 58)(52, 61, 59)(54, 64, 68)(55, 65, 70)(56, 71, 66)(57, 62, 67)(63, 72, 69)(73, 75, 78)(74, 80, 82)(76, 87, 86)(77, 88, 90)(79, 83, 91)(81, 96, 94)(84, 95, 92)(85, 89, 93)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E9.219
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 3^16, 12^4 ]

E9.217 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-1, Y1^3, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 3, 27)(2, 26, 5, 29)(4, 28, 8, 32)(6, 30, 11, 35)(7, 31, 12, 36)(9, 33, 15, 39)(10, 34, 16, 40)(13, 37, 18, 42)(14, 38, 20, 44)(17, 41, 22, 46)(19, 43, 23, 47)(21, 45, 24, 48)(49, 50, 52)(51, 54, 55)(53, 57, 58)(56, 61, 62)(59, 65, 64)(60, 66, 67)(63, 69, 68)(70, 72, 71)(73, 74, 76)(75, 78, 79)(77, 81, 82)(80, 85, 86)(83, 89, 88)(84, 90, 91)(87, 93, 92)(94, 96, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E9.218
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 3^16, 4^12 ]

E9.218 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y3 * Y1^-1)^2, Y3^2 * Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^2, Y1 * Y2 * Y1^-1 * Y3^2, Y1 * Y3 * Y1 * Y3 * Y2^-1, (Y2 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 24, 48, 72, 96, 18, 42, 66, 90, 7, 31, 55, 79)(2, 26, 50, 74, 9, 33, 57, 81, 23, 47, 71, 95, 21, 45, 69, 93, 6, 30, 54, 78, 11, 35, 59, 83)(3, 27, 51, 75, 13, 37, 61, 85, 16, 40, 64, 88, 22, 46, 70, 94, 8, 32, 56, 80, 14, 38, 62, 86)(5, 29, 53, 77, 17, 41, 65, 89, 20, 44, 68, 92, 15, 39, 63, 87, 10, 34, 58, 82, 19, 43, 67, 91)
	L = (1, 26)(2, 29)(3, 36)(4, 37)(5, 25)(6, 40)(7, 41)(8, 47)(9, 38)(10, 27)(11, 28)(12, 34)(13, 35)(14, 43)(15, 48)(16, 44)(17, 46)(18, 32)(19, 33)(20, 30)(21, 39)(22, 31)(23, 42)(24, 45)(49, 75)(50, 80)(51, 78)(52, 87)(53, 88)(54, 73)(55, 83)(56, 82)(57, 96)(58, 74)(59, 91)(60, 95)(61, 89)(62, 76)(63, 86)(64, 90)(65, 93)(66, 77)(67, 79)(68, 84)(69, 85)(70, 81)(71, 92)(72, 94)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.217
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.219 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-1, Y1^3, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75)(2, 26, 50, 74, 5, 29, 53, 77)(4, 28, 52, 76, 8, 32, 56, 80)(6, 30, 54, 78, 11, 35, 59, 83)(7, 31, 55, 79, 12, 36, 60, 84)(9, 33, 57, 81, 15, 39, 63, 87)(10, 34, 58, 82, 16, 40, 64, 88)(13, 37, 61, 85, 18, 42, 66, 90)(14, 38, 62, 86, 20, 44, 68, 92)(17, 41, 65, 89, 22, 46, 70, 94)(19, 43, 67, 91, 23, 47, 71, 95)(21, 45, 69, 93, 24, 48, 72, 96)
	L = (1, 26)(2, 28)(3, 30)(4, 25)(5, 33)(6, 31)(7, 27)(8, 37)(9, 34)(10, 29)(11, 41)(12, 42)(13, 38)(14, 32)(15, 45)(16, 35)(17, 40)(18, 43)(19, 36)(20, 39)(21, 44)(22, 48)(23, 46)(24, 47)(49, 74)(50, 76)(51, 78)(52, 73)(53, 81)(54, 79)(55, 75)(56, 85)(57, 82)(58, 77)(59, 89)(60, 90)(61, 86)(62, 80)(63, 93)(64, 83)(65, 88)(66, 91)(67, 84)(68, 87)(69, 92)(70, 96)(71, 94)(72, 95)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.216
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, Y2 * Y3^-2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 19, 43)(12, 36, 16, 40)(13, 37, 17, 41)(14, 38, 20, 44)(15, 39, 21, 45)(18, 42, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 52, 76)(50, 74, 53, 77, 54, 78)(55, 79, 59, 83, 60, 84)(56, 80, 61, 85, 62, 86)(57, 81, 63, 87, 64, 88)(58, 82, 65, 89, 66, 90)(67, 91, 71, 95, 68, 92)(69, 93, 72, 96, 70, 94)
	L = (1, 52)(2, 54)(3, 49)(4, 51)(5, 50)(6, 53)(7, 60)(8, 62)(9, 64)(10, 66)(11, 55)(12, 59)(13, 56)(14, 61)(15, 57)(16, 63)(17, 58)(18, 65)(19, 68)(20, 71)(21, 70)(22, 72)(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) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.226
Graph:: bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 17, 41)(12, 36, 18, 42)(13, 37, 19, 43)(14, 38, 20, 44)(15, 39, 21, 45)(16, 40, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 61, 85, 62, 86)(54, 78, 64, 88, 59, 83)(56, 80, 67, 91, 68, 92)(58, 82, 70, 94, 65, 89)(60, 84, 71, 95, 63, 87)(66, 90, 72, 96, 69, 93)
	L = (1, 52)(2, 56)(3, 59)(4, 54)(5, 63)(6, 49)(7, 65)(8, 58)(9, 69)(10, 50)(11, 60)(12, 51)(13, 53)(14, 71)(15, 61)(16, 62)(17, 66)(18, 55)(19, 57)(20, 72)(21, 67)(22, 68)(23, 64)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.225
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3 * Y2^-1 * Y1 * Y3, Y1 * Y2 * Y1 * Y3^-1 * Y2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 14, 38)(5, 29, 17, 41)(6, 30, 19, 43)(7, 31, 18, 42)(8, 32, 13, 37)(9, 33, 20, 44)(10, 34, 16, 40)(12, 36, 21, 45)(15, 39, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 63, 87, 64, 88)(54, 78, 68, 92, 60, 84)(56, 80, 70, 94, 67, 91)(58, 82, 65, 89, 69, 93)(59, 83, 62, 86, 71, 95)(61, 85, 72, 96, 66, 90)
	L = (1, 52)(2, 56)(3, 60)(4, 54)(5, 66)(6, 49)(7, 69)(8, 58)(9, 59)(10, 50)(11, 70)(12, 61)(13, 51)(14, 55)(15, 53)(16, 72)(17, 67)(18, 63)(19, 71)(20, 64)(21, 62)(22, 57)(23, 65)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.227
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y2^-1 * Y3^2, (Y2 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 10, 34)(4, 28, 14, 38, 15, 39)(6, 30, 16, 40, 19, 43)(7, 31, 20, 44, 9, 33)(8, 32, 21, 45, 18, 42)(11, 35, 23, 47, 17, 41)(13, 37, 22, 46, 24, 48)(49, 73, 51, 75, 54, 78)(50, 74, 56, 80, 58, 82)(52, 76, 61, 85, 55, 79)(53, 77, 64, 88, 66, 90)(57, 81, 70, 94, 59, 83)(60, 84, 69, 93, 67, 91)(62, 86, 65, 89, 72, 96)(63, 87, 68, 92, 71, 95)
	L = (1, 52)(2, 57)(3, 61)(4, 51)(5, 65)(6, 55)(7, 49)(8, 70)(9, 56)(10, 59)(11, 50)(12, 63)(13, 54)(14, 53)(15, 69)(16, 72)(17, 64)(18, 62)(19, 71)(20, 67)(21, 68)(22, 58)(23, 60)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.224
Graph:: simple bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 6^16 ]

E9.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y1^6, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y2)^3, (Y2 * Y1^-3)^2, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29, 11, 35, 10, 34, 4, 28)(3, 27, 7, 31, 15, 39, 20, 44, 17, 41, 8, 32)(6, 30, 13, 37, 23, 47, 19, 43, 24, 48, 14, 38)(9, 33, 18, 42, 22, 46, 12, 36, 21, 45, 16, 40)(49, 73, 51, 75)(50, 74, 54, 78)(52, 76, 57, 81)(53, 77, 60, 84)(55, 79, 64, 88)(56, 80, 61, 85)(58, 82, 67, 91)(59, 83, 68, 92)(62, 86, 69, 93)(63, 87, 72, 96)(65, 89, 70, 94)(66, 90, 71, 95)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 59)(6, 61)(7, 63)(8, 51)(9, 66)(10, 52)(11, 58)(12, 69)(13, 71)(14, 54)(15, 68)(16, 57)(17, 56)(18, 70)(19, 72)(20, 65)(21, 64)(22, 60)(23, 67)(24, 62)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E9.223
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2 * Y3 * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, (Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^3, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 10, 34)(4, 28, 14, 38, 11, 35)(6, 30, 15, 39, 19, 43)(7, 31, 16, 40, 20, 44)(8, 32, 21, 45, 17, 41)(9, 33, 23, 47, 18, 42)(13, 37, 22, 46, 24, 48)(49, 73, 51, 75, 55, 79, 61, 85, 52, 76, 54, 78)(50, 74, 56, 80, 59, 83, 70, 94, 57, 81, 58, 82)(53, 77, 63, 87, 66, 90, 72, 96, 64, 88, 65, 89)(60, 84, 71, 95, 67, 91, 62, 86, 69, 93, 68, 92)
	L = (1, 52)(2, 57)(3, 54)(4, 55)(5, 64)(6, 61)(7, 49)(8, 58)(9, 59)(10, 70)(11, 50)(12, 69)(13, 51)(14, 71)(15, 65)(16, 66)(17, 72)(18, 53)(19, 60)(20, 62)(21, 67)(22, 56)(23, 68)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.221
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 6^8, 12^4 ]

E9.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^3, (Y3 * Y2^-1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^3, (Y2^-2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 7, 31)(5, 29, 10, 34, 12, 36)(6, 30, 14, 38, 11, 35)(9, 33, 19, 43, 18, 42)(13, 37, 22, 46, 15, 39)(16, 40, 17, 41, 21, 45)(20, 44, 23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 68, 92, 61, 85, 53, 77)(50, 74, 54, 78, 63, 87, 71, 95, 64, 88, 55, 79)(52, 76, 58, 82, 69, 93, 72, 96, 67, 91, 59, 83)(56, 80, 65, 89, 60, 84, 70, 94, 62, 86, 66, 90)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 58)(6, 62)(7, 51)(8, 55)(9, 67)(10, 60)(11, 54)(12, 53)(13, 70)(14, 59)(15, 61)(16, 65)(17, 69)(18, 57)(19, 66)(20, 71)(21, 64)(22, 63)(23, 72)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.220
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 6^8, 12^4 ]

E9.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y1 * Y3^-1)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2^2 * Y3^-1 * Y1^-1, Y2 * Y3 * Y1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2^6, (Y1 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 10, 34)(4, 28, 14, 38, 11, 35)(6, 30, 13, 37, 20, 44)(7, 31, 16, 40, 21, 45)(8, 32, 19, 43, 17, 41)(9, 33, 23, 47, 18, 42)(15, 39, 24, 48, 22, 46)(49, 73, 51, 75, 57, 81, 72, 96, 69, 93, 54, 78)(50, 74, 56, 80, 64, 88, 70, 94, 62, 86, 58, 82)(52, 76, 63, 87, 71, 95, 65, 89, 53, 77, 61, 85)(55, 79, 67, 91, 66, 90, 60, 84, 59, 83, 68, 92)
	L = (1, 52)(2, 57)(3, 56)(4, 55)(5, 64)(6, 67)(7, 49)(8, 61)(9, 59)(10, 68)(11, 50)(12, 72)(13, 51)(14, 71)(15, 58)(16, 66)(17, 60)(18, 53)(19, 70)(20, 63)(21, 62)(22, 54)(23, 69)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.222
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 6^8, 12^4 ]

E9.228 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y1^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 26, 2, 29, 5, 35, 11, 34, 10, 28, 4, 25)(3, 31, 7, 36, 12, 44, 20, 41, 17, 32, 8, 27)(6, 37, 13, 43, 19, 42, 18, 33, 9, 38, 14, 30)(15, 45, 21, 48, 24, 47, 23, 40, 16, 46, 22, 39)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 23)(20, 24)(25, 27)(26, 30)(28, 33)(29, 36)(31, 39)(32, 40)(34, 41)(35, 43)(37, 45)(38, 46)(42, 47)(44, 48)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.229 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
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, R * Y2 * R * Y3, (R * Y1)^2, (Y1 * Y2 * Y1)^2, Y1^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 26, 2, 29, 5, 35, 11, 34, 10, 28, 4, 25)(3, 31, 7, 39, 15, 44, 20, 36, 12, 32, 8, 27)(6, 37, 13, 33, 9, 42, 18, 43, 19, 38, 14, 30)(16, 45, 21, 41, 17, 46, 22, 48, 24, 47, 23, 40)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 19)(13, 21)(14, 22)(18, 23)(20, 24)(25, 27)(26, 30)(28, 33)(29, 36)(31, 40)(32, 41)(34, 39)(35, 43)(37, 45)(38, 46)(42, 47)(44, 48)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.230 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1 * Y3 * Y2 * Y1, Y1^2 * Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3, Y1^6, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 30, 6, 38, 14, 36, 12, 29, 5, 25)(3, 33, 9, 28, 4, 35, 11, 39, 15, 34, 10, 27)(7, 40, 16, 32, 8, 42, 18, 37, 13, 41, 17, 31)(19, 46, 22, 44, 20, 47, 23, 45, 21, 48, 24, 43)
	L = (1, 3)(2, 7)(4, 12)(5, 8)(6, 15)(9, 19)(10, 20)(11, 21)(13, 14)(16, 22)(17, 23)(18, 24)(25, 28)(26, 32)(27, 30)(29, 37)(31, 38)(33, 44)(34, 45)(35, 43)(36, 39)(40, 47)(41, 48)(42, 46)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.231 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1 * Y3^-2 * Y1, Y3^6, (Y3^-1 * Y1 * Y3 * Y1)^2 ]
Map::
	R = (1, 25, 3, 27, 8, 32, 17, 41, 10, 34, 4, 28)(2, 26, 5, 29, 12, 36, 21, 45, 14, 38, 6, 30)(7, 31, 15, 39, 23, 47, 18, 42, 9, 33, 16, 40)(11, 35, 19, 43, 24, 48, 22, 46, 13, 37, 20, 44)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 60)(58, 62)(63, 67)(64, 68)(65, 71)(66, 70)(69, 72)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 84)(82, 86)(87, 91)(88, 92)(89, 95)(90, 94)(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 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.237
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 2^24, 12^4 ]

E9.232 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^6, (Y3^2 * Y1)^2, (Y3^-1 * Y1)^4 ]
Map::
	R = (1, 25, 3, 27, 8, 32, 17, 41, 10, 34, 4, 28)(2, 26, 5, 29, 12, 36, 21, 45, 14, 38, 6, 30)(7, 31, 15, 39, 9, 33, 18, 42, 23, 47, 16, 40)(11, 35, 19, 43, 13, 37, 22, 46, 24, 48, 20, 44)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 62)(58, 60)(63, 67)(64, 70)(65, 71)(66, 68)(69, 72)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 86)(82, 84)(87, 91)(88, 94)(89, 95)(90, 92)(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 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.238
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 2^24, 12^4 ]

E9.233 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-2 * Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 25, 4, 28, 9, 33, 15, 39, 6, 30, 5, 29)(2, 26, 7, 31, 14, 38, 10, 34, 3, 27, 8, 32)(11, 35, 19, 43, 13, 37, 21, 45, 12, 36, 20, 44)(16, 40, 22, 46, 18, 42, 24, 48, 17, 41, 23, 47)(49, 50)(51, 57)(52, 59)(53, 61)(54, 62)(55, 64)(56, 66)(58, 65)(60, 63)(67, 70)(68, 72)(69, 71)(73, 75)(74, 78)(76, 84)(77, 83)(79, 89)(80, 88)(81, 86)(82, 90)(85, 87)(91, 95)(92, 94)(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 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.239
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 2^24, 12^4 ]

E9.234 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2^-2 * Y1^-1, R * Y1 * R * Y2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y1^-2 * Y2^4 ]
Map:: polytopal non-degenerate
	R = (1, 25, 4, 28)(2, 26, 9, 33)(3, 27, 12, 36)(5, 29, 14, 38)(6, 30, 15, 39)(7, 31, 17, 41)(8, 32, 19, 43)(10, 34, 20, 44)(11, 35, 21, 45)(13, 37, 22, 46)(16, 40, 23, 47)(18, 42, 24, 48)(49, 50, 55, 64, 59, 53)(51, 56, 54, 58, 66, 61)(52, 62, 69, 71, 65, 57)(60, 70, 72, 68, 63, 67)(73, 75, 83, 90, 79, 78)(74, 80, 77, 85, 88, 82)(76, 87, 89, 96, 93, 84)(81, 92, 95, 94, 86, 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 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.240
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.235 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3 * Y1 * Y3 * Y2^-1, Y1^6, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 4, 28)(2, 26, 9, 33)(3, 27, 12, 36)(5, 29, 15, 39)(6, 30, 14, 38)(7, 31, 17, 41)(8, 32, 19, 43)(10, 34, 20, 44)(11, 35, 21, 45)(13, 37, 22, 46)(16, 40, 23, 47)(18, 42, 24, 48)(49, 50, 55, 64, 59, 53)(51, 56, 54, 58, 66, 61)(52, 60, 69, 72, 65, 62)(57, 67, 63, 70, 71, 68)(73, 75, 83, 90, 79, 78)(74, 80, 77, 85, 88, 82)(76, 81, 89, 95, 93, 87)(84, 91, 86, 92, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.241
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.236 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1 * Y2^-1)^2, Y1^6, Y2^6, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28)(2, 26, 6, 30)(3, 27, 8, 32)(5, 29, 12, 36)(7, 31, 15, 39)(9, 33, 17, 41)(10, 34, 18, 42)(11, 35, 19, 43)(13, 37, 21, 45)(14, 38, 22, 46)(16, 40, 23, 47)(20, 44, 24, 48)(49, 50, 53, 59, 55, 51)(52, 57, 63, 68, 60, 58)(54, 61, 56, 64, 67, 62)(65, 69, 66, 70, 72, 71)(73, 75, 79, 83, 77, 74)(76, 82, 84, 92, 87, 81)(78, 86, 91, 88, 80, 85)(89, 95, 96, 94, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.242
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.237 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1 * Y3^-2 * Y1, Y3^6, (Y3^-1 * Y1 * Y3 * Y1)^2 ]
Map::
	R = (1, 25, 49, 73, 3, 27, 51, 75, 8, 32, 56, 80, 17, 41, 65, 89, 10, 34, 58, 82, 4, 28, 52, 76)(2, 26, 50, 74, 5, 29, 53, 77, 12, 36, 60, 84, 21, 45, 69, 93, 14, 38, 62, 86, 6, 30, 54, 78)(7, 31, 55, 79, 15, 39, 63, 87, 23, 47, 71, 95, 18, 42, 66, 90, 9, 33, 57, 81, 16, 40, 64, 88)(11, 35, 59, 83, 19, 43, 67, 91, 24, 48, 72, 96, 22, 46, 70, 94, 13, 37, 61, 85, 20, 44, 68, 92)
	L = (1, 26)(2, 25)(3, 31)(4, 33)(5, 35)(6, 37)(7, 27)(8, 36)(9, 28)(10, 38)(11, 29)(12, 32)(13, 30)(14, 34)(15, 43)(16, 44)(17, 47)(18, 46)(19, 39)(20, 40)(21, 48)(22, 42)(23, 41)(24, 45)(49, 74)(50, 73)(51, 79)(52, 81)(53, 83)(54, 85)(55, 75)(56, 84)(57, 76)(58, 86)(59, 77)(60, 80)(61, 78)(62, 82)(63, 91)(64, 92)(65, 95)(66, 94)(67, 87)(68, 88)(69, 96)(70, 90)(71, 89)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.231
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.238 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^6, (Y3^2 * Y1)^2, (Y3^-1 * Y1)^4 ]
Map::
	R = (1, 25, 49, 73, 3, 27, 51, 75, 8, 32, 56, 80, 17, 41, 65, 89, 10, 34, 58, 82, 4, 28, 52, 76)(2, 26, 50, 74, 5, 29, 53, 77, 12, 36, 60, 84, 21, 45, 69, 93, 14, 38, 62, 86, 6, 30, 54, 78)(7, 31, 55, 79, 15, 39, 63, 87, 9, 33, 57, 81, 18, 42, 66, 90, 23, 47, 71, 95, 16, 40, 64, 88)(11, 35, 59, 83, 19, 43, 67, 91, 13, 37, 61, 85, 22, 46, 70, 94, 24, 48, 72, 96, 20, 44, 68, 92)
	L = (1, 26)(2, 25)(3, 31)(4, 33)(5, 35)(6, 37)(7, 27)(8, 38)(9, 28)(10, 36)(11, 29)(12, 34)(13, 30)(14, 32)(15, 43)(16, 46)(17, 47)(18, 44)(19, 39)(20, 42)(21, 48)(22, 40)(23, 41)(24, 45)(49, 74)(50, 73)(51, 79)(52, 81)(53, 83)(54, 85)(55, 75)(56, 86)(57, 76)(58, 84)(59, 77)(60, 82)(61, 78)(62, 80)(63, 91)(64, 94)(65, 95)(66, 92)(67, 87)(68, 90)(69, 96)(70, 88)(71, 89)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.232
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.239 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-2 * Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 9, 33, 57, 81, 15, 39, 63, 87, 6, 30, 54, 78, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 14, 38, 62, 86, 10, 34, 58, 82, 3, 27, 51, 75, 8, 32, 56, 80)(11, 35, 59, 83, 19, 43, 67, 91, 13, 37, 61, 85, 21, 45, 69, 93, 12, 36, 60, 84, 20, 44, 68, 92)(16, 40, 64, 88, 22, 46, 70, 94, 18, 42, 66, 90, 24, 48, 72, 96, 17, 41, 65, 89, 23, 47, 71, 95)
	L = (1, 26)(2, 25)(3, 33)(4, 35)(5, 37)(6, 38)(7, 40)(8, 42)(9, 27)(10, 41)(11, 28)(12, 39)(13, 29)(14, 30)(15, 36)(16, 31)(17, 34)(18, 32)(19, 46)(20, 48)(21, 47)(22, 43)(23, 45)(24, 44)(49, 75)(50, 78)(51, 73)(52, 84)(53, 83)(54, 74)(55, 89)(56, 88)(57, 86)(58, 90)(59, 77)(60, 76)(61, 87)(62, 81)(63, 85)(64, 80)(65, 79)(66, 82)(67, 95)(68, 94)(69, 96)(70, 92)(71, 91)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.233
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.240 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2^-2 * Y1^-1, R * Y1 * R * Y2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y1^-2 * Y2^4 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 9, 33, 57, 81)(3, 27, 51, 75, 12, 36, 60, 84)(5, 29, 53, 77, 14, 38, 62, 86)(6, 30, 54, 78, 15, 39, 63, 87)(7, 31, 55, 79, 17, 41, 65, 89)(8, 32, 56, 80, 19, 43, 67, 91)(10, 34, 58, 82, 20, 44, 68, 92)(11, 35, 59, 83, 21, 45, 69, 93)(13, 37, 61, 85, 22, 46, 70, 94)(16, 40, 64, 88, 23, 47, 71, 95)(18, 42, 66, 90, 24, 48, 72, 96)
	L = (1, 26)(2, 31)(3, 32)(4, 38)(5, 25)(6, 34)(7, 40)(8, 30)(9, 28)(10, 42)(11, 29)(12, 46)(13, 27)(14, 45)(15, 43)(16, 35)(17, 33)(18, 37)(19, 36)(20, 39)(21, 47)(22, 48)(23, 41)(24, 44)(49, 75)(50, 80)(51, 83)(52, 87)(53, 85)(54, 73)(55, 78)(56, 77)(57, 92)(58, 74)(59, 90)(60, 76)(61, 88)(62, 91)(63, 89)(64, 82)(65, 96)(66, 79)(67, 81)(68, 95)(69, 84)(70, 86)(71, 94)(72, 93)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.234
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.241 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3 * Y1 * Y3 * Y2^-1, Y1^6, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 9, 33, 57, 81)(3, 27, 51, 75, 12, 36, 60, 84)(5, 29, 53, 77, 15, 39, 63, 87)(6, 30, 54, 78, 14, 38, 62, 86)(7, 31, 55, 79, 17, 41, 65, 89)(8, 32, 56, 80, 19, 43, 67, 91)(10, 34, 58, 82, 20, 44, 68, 92)(11, 35, 59, 83, 21, 45, 69, 93)(13, 37, 61, 85, 22, 46, 70, 94)(16, 40, 64, 88, 23, 47, 71, 95)(18, 42, 66, 90, 24, 48, 72, 96)
	L = (1, 26)(2, 31)(3, 32)(4, 36)(5, 25)(6, 34)(7, 40)(8, 30)(9, 43)(10, 42)(11, 29)(12, 45)(13, 27)(14, 28)(15, 46)(16, 35)(17, 38)(18, 37)(19, 39)(20, 33)(21, 48)(22, 47)(23, 44)(24, 41)(49, 75)(50, 80)(51, 83)(52, 81)(53, 85)(54, 73)(55, 78)(56, 77)(57, 89)(58, 74)(59, 90)(60, 91)(61, 88)(62, 92)(63, 76)(64, 82)(65, 95)(66, 79)(67, 86)(68, 96)(69, 87)(70, 84)(71, 93)(72, 94)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.235
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.242 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1 * Y2^-1)^2, Y1^6, Y2^6, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 6, 30, 54, 78)(3, 27, 51, 75, 8, 32, 56, 80)(5, 29, 53, 77, 12, 36, 60, 84)(7, 31, 55, 79, 15, 39, 63, 87)(9, 33, 57, 81, 17, 41, 65, 89)(10, 34, 58, 82, 18, 42, 66, 90)(11, 35, 59, 83, 19, 43, 67, 91)(13, 37, 61, 85, 21, 45, 69, 93)(14, 38, 62, 86, 22, 46, 70, 94)(16, 40, 64, 88, 23, 47, 71, 95)(20, 44, 68, 92, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 25)(4, 33)(5, 35)(6, 37)(7, 27)(8, 40)(9, 39)(10, 28)(11, 31)(12, 34)(13, 32)(14, 30)(15, 44)(16, 43)(17, 45)(18, 46)(19, 38)(20, 36)(21, 42)(22, 48)(23, 41)(24, 47)(49, 75)(50, 73)(51, 79)(52, 82)(53, 74)(54, 86)(55, 83)(56, 85)(57, 76)(58, 84)(59, 77)(60, 92)(61, 78)(62, 91)(63, 81)(64, 80)(65, 95)(66, 93)(67, 88)(68, 87)(69, 89)(70, 90)(71, 96)(72, 94)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.236
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^6, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 9, 33)(5, 29, 11, 35)(6, 30, 13, 37)(8, 32, 12, 36)(10, 34, 14, 38)(15, 39, 19, 43)(16, 40, 20, 44)(17, 41, 23, 47)(18, 42, 22, 46)(21, 45, 24, 48)(49, 73, 51, 75, 56, 80, 65, 89, 58, 82, 52, 76)(50, 74, 53, 77, 60, 84, 69, 93, 62, 86, 54, 78)(55, 79, 63, 87, 71, 95, 66, 90, 57, 81, 64, 88)(59, 83, 67, 91, 72, 96, 70, 94, 61, 85, 68, 92)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 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 :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^6, (Y2 * Y1)^4, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 9, 33)(5, 29, 11, 35)(6, 30, 13, 37)(8, 32, 14, 38)(10, 34, 12, 36)(15, 39, 19, 43)(16, 40, 22, 46)(17, 41, 23, 47)(18, 42, 20, 44)(21, 45, 24, 48)(49, 73, 51, 75, 56, 80, 65, 89, 58, 82, 52, 76)(50, 74, 53, 77, 60, 84, 69, 93, 62, 86, 54, 78)(55, 79, 63, 87, 57, 81, 66, 90, 71, 95, 64, 88)(59, 83, 67, 91, 61, 85, 70, 94, 72, 96, 68, 92)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 7, 31)(5, 29, 13, 37)(6, 30, 11, 35)(8, 32, 12, 36)(10, 34, 15, 39)(14, 38, 16, 40)(17, 41, 19, 43)(18, 42, 23, 47)(20, 44, 21, 45)(22, 46, 24, 48)(49, 73, 51, 75, 58, 82, 66, 90, 62, 86, 53, 77)(50, 74, 54, 78, 63, 87, 70, 94, 64, 88, 56, 80)(52, 76, 59, 83, 67, 91, 72, 96, 68, 92, 60, 84)(55, 79, 57, 81, 65, 89, 71, 95, 69, 93, 61, 85)
	L = (1, 52)(2, 55)(3, 59)(4, 49)(5, 60)(6, 57)(7, 50)(8, 61)(9, 54)(10, 67)(11, 51)(12, 53)(13, 56)(14, 68)(15, 65)(16, 69)(17, 63)(18, 72)(19, 58)(20, 62)(21, 64)(22, 71)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 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, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, (Y1 * Y3)^2, Y1 * Y2 * Y1 * Y3 * Y2, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 7, 31)(5, 29, 13, 37)(6, 30, 12, 36)(8, 32, 11, 35)(10, 34, 16, 40)(14, 38, 15, 39)(17, 41, 19, 43)(18, 42, 23, 47)(20, 44, 21, 45)(22, 46, 24, 48)(49, 73, 51, 75, 58, 82, 66, 90, 62, 86, 53, 77)(50, 74, 54, 78, 63, 87, 70, 94, 64, 88, 56, 80)(52, 76, 59, 83, 67, 91, 72, 96, 68, 92, 60, 84)(55, 79, 61, 85, 69, 93, 71, 95, 65, 89, 57, 81)
	L = (1, 52)(2, 55)(3, 59)(4, 49)(5, 60)(6, 61)(7, 50)(8, 57)(9, 56)(10, 67)(11, 51)(12, 53)(13, 54)(14, 68)(15, 69)(16, 65)(17, 64)(18, 72)(19, 58)(20, 62)(21, 63)(22, 71)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 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 * Y3^-1 * Y2, Y3^3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 10, 34)(5, 29, 13, 37)(6, 30, 8, 32)(7, 31, 14, 38)(9, 33, 16, 40)(12, 36, 19, 43)(15, 39, 23, 47)(17, 41, 21, 45)(18, 42, 24, 48)(20, 44, 22, 46)(49, 73, 51, 75, 52, 76, 60, 84, 54, 78, 53, 77)(50, 74, 55, 79, 56, 80, 63, 87, 58, 82, 57, 81)(59, 83, 65, 89, 61, 85, 68, 92, 67, 91, 66, 90)(62, 86, 69, 93, 64, 88, 72, 96, 71, 95, 70, 94)
	L = (1, 52)(2, 56)(3, 60)(4, 54)(5, 51)(6, 49)(7, 63)(8, 58)(9, 55)(10, 50)(11, 61)(12, 53)(13, 67)(14, 64)(15, 57)(16, 71)(17, 68)(18, 65)(19, 59)(20, 66)(21, 72)(22, 69)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y3^4, Y2 * Y3 * Y1 * Y2^2, Y1 * Y2 * Y3 * Y2^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 10, 34)(5, 29, 17, 41)(6, 30, 8, 32)(7, 31, 20, 44)(9, 33, 24, 48)(12, 36, 18, 42)(13, 37, 19, 43)(14, 38, 21, 45)(15, 39, 22, 46)(16, 40, 23, 47)(49, 73, 51, 75, 60, 84, 58, 82, 67, 91, 53, 77)(50, 74, 55, 79, 66, 90, 54, 78, 61, 85, 57, 81)(52, 76, 62, 86, 65, 89, 70, 94, 59, 83, 64, 88)(56, 80, 69, 93, 72, 96, 63, 87, 68, 92, 71, 95)
	L = (1, 52)(2, 56)(3, 61)(4, 63)(5, 66)(6, 49)(7, 67)(8, 70)(9, 60)(10, 50)(11, 69)(12, 65)(13, 68)(14, 51)(15, 54)(16, 53)(17, 71)(18, 72)(19, 59)(20, 62)(21, 55)(22, 58)(23, 57)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^4, Y1 * Y3 * Y2^-3, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 10, 34)(5, 29, 17, 41)(6, 30, 8, 32)(7, 31, 20, 44)(9, 33, 23, 47)(12, 36, 16, 40)(13, 37, 21, 45)(14, 38, 19, 43)(15, 39, 22, 46)(18, 42, 24, 48)(49, 73, 51, 75, 60, 84, 56, 80, 67, 91, 53, 77)(50, 74, 55, 79, 64, 88, 52, 76, 62, 86, 57, 81)(54, 78, 61, 85, 65, 89, 70, 94, 59, 83, 66, 90)(58, 82, 69, 93, 71, 95, 63, 87, 68, 92, 72, 96)
	L = (1, 52)(2, 56)(3, 61)(4, 63)(5, 66)(6, 49)(7, 69)(8, 70)(9, 72)(10, 50)(11, 67)(12, 57)(13, 68)(14, 51)(15, 54)(16, 53)(17, 60)(18, 71)(19, 55)(20, 62)(21, 59)(22, 58)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 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, Y3^-2 * Y2^-2, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2^-1, Y3^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 10, 34)(5, 29, 17, 41)(6, 30, 8, 32)(7, 31, 14, 38)(9, 33, 16, 40)(12, 36, 20, 44)(13, 37, 22, 46)(15, 39, 18, 42)(19, 43, 23, 47)(21, 45, 24, 48)(49, 73, 51, 75, 60, 84, 71, 95, 63, 87, 53, 77)(50, 74, 55, 79, 66, 90, 70, 94, 68, 92, 57, 81)(52, 76, 61, 85, 54, 78, 62, 86, 72, 96, 64, 88)(56, 80, 67, 91, 58, 82, 59, 83, 69, 93, 65, 89)
	L = (1, 52)(2, 56)(3, 61)(4, 63)(5, 64)(6, 49)(7, 67)(8, 68)(9, 65)(10, 50)(11, 55)(12, 54)(13, 53)(14, 51)(15, 72)(16, 71)(17, 70)(18, 58)(19, 57)(20, 69)(21, 66)(22, 59)(23, 62)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.251 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = C6 x D8 (small group id <48, 45>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^6, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, Y2^6, (Y3 * Y2^-1 * Y3 * Y2)^2, (Y3 * Y1^-1 * Y3 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 25, 4, 28)(2, 26, 6, 30)(3, 27, 8, 32)(5, 29, 12, 36)(7, 31, 15, 39)(9, 33, 17, 41)(10, 34, 18, 42)(11, 35, 19, 43)(13, 37, 21, 45)(14, 38, 22, 46)(16, 40, 23, 47)(20, 44, 24, 48)(49, 50, 53, 59, 55, 51)(52, 57, 60, 68, 63, 58)(54, 61, 67, 64, 56, 62)(65, 69, 72, 71, 66, 70)(73, 75, 79, 83, 77, 74)(76, 82, 87, 92, 84, 81)(78, 86, 80, 88, 91, 85)(89, 94, 90, 95, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.252
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.252 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = C6 x D8 (small group id <48, 45>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^6, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, Y2^6, (Y3 * Y2^-1 * Y3 * Y2)^2, (Y3 * Y1^-1 * Y3 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 6, 30, 54, 78)(3, 27, 51, 75, 8, 32, 56, 80)(5, 29, 53, 77, 12, 36, 60, 84)(7, 31, 55, 79, 15, 39, 63, 87)(9, 33, 57, 81, 17, 41, 65, 89)(10, 34, 58, 82, 18, 42, 66, 90)(11, 35, 59, 83, 19, 43, 67, 91)(13, 37, 61, 85, 21, 45, 69, 93)(14, 38, 62, 86, 22, 46, 70, 94)(16, 40, 64, 88, 23, 47, 71, 95)(20, 44, 68, 92, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 25)(4, 33)(5, 35)(6, 37)(7, 27)(8, 38)(9, 36)(10, 28)(11, 31)(12, 44)(13, 43)(14, 30)(15, 34)(16, 32)(17, 45)(18, 46)(19, 40)(20, 39)(21, 48)(22, 41)(23, 42)(24, 47)(49, 75)(50, 73)(51, 79)(52, 82)(53, 74)(54, 86)(55, 83)(56, 88)(57, 76)(58, 87)(59, 77)(60, 81)(61, 78)(62, 80)(63, 92)(64, 91)(65, 94)(66, 95)(67, 85)(68, 84)(69, 89)(70, 90)(71, 96)(72, 93)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.251
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.253 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3 * Y2)^2, Y2 * Y1 * Y3 * Y1^-1, Y1 * Y3 * Y2 * Y1^-1 * Y3, Y1^6, (Y3 * Y1^-2)^3 ]
Map::
	R = (1, 26, 2, 30, 6, 39, 15, 38, 14, 29, 5, 25)(3, 32, 8, 42, 18, 46, 22, 43, 19, 34, 10, 27)(4, 35, 11, 40, 16, 47, 23, 44, 20, 36, 12, 28)(7, 41, 17, 48, 24, 45, 21, 37, 13, 33, 9, 31)
	L = (1, 3)(2, 7)(4, 9)(5, 12)(6, 16)(8, 11)(10, 13)(14, 21)(15, 22)(17, 18)(19, 20)(23, 24)(25, 28)(26, 32)(27, 33)(29, 37)(30, 41)(31, 35)(34, 36)(38, 43)(39, 47)(40, 42)(44, 45)(46, 48)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.254 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^-1 * Y2 * Y1 * Y3, (R * Y1)^2, R * Y2 * R * Y3, (Y2 * Y3)^2, Y2 * Y1^-1 * Y2 * Y3 * Y1^-2, Y1^6, Y3 * Y1^2 * Y2 * Y1^-2 ]
Map::
	R = (1, 26, 2, 30, 6, 39, 15, 38, 14, 29, 5, 25)(3, 32, 8, 44, 20, 47, 23, 46, 22, 34, 10, 27)(4, 35, 11, 40, 16, 48, 24, 42, 18, 36, 12, 28)(7, 41, 17, 33, 9, 45, 21, 37, 13, 43, 19, 31)
	L = (1, 3)(2, 7)(4, 9)(5, 12)(6, 16)(8, 18)(10, 17)(11, 22)(13, 20)(14, 21)(15, 23)(19, 24)(25, 28)(26, 32)(27, 33)(29, 37)(30, 41)(31, 42)(34, 40)(35, 45)(36, 44)(38, 46)(39, 48)(43, 47)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.255 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^2, Y3^-1 * Y2 * Y3 * Y1, Y3^-1 * Y2 * Y1 * Y3 * Y2, Y3^6 ]
Map::
	R = (1, 25, 4, 28, 12, 36, 20, 44, 14, 38, 5, 29)(2, 26, 7, 31, 15, 39, 22, 46, 16, 40, 8, 32)(3, 27, 9, 33, 17, 41, 23, 47, 18, 42, 10, 34)(6, 30, 11, 35, 19, 43, 24, 48, 21, 45, 13, 37)(49, 50)(51, 54)(52, 57)(53, 61)(55, 59)(56, 58)(60, 67)(62, 66)(63, 65)(64, 69)(68, 70)(71, 72)(73, 75)(74, 78)(76, 83)(77, 80)(79, 81)(82, 85)(84, 87)(86, 93)(88, 90)(89, 91)(92, 95)(94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.259
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 2^24, 12^4 ]

E9.256 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y3^-1 * Y2 * Y3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, Y3 * Y2 * Y3^2 * Y2 * Y1, Y3^6, Y3^3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 25, 4, 28, 12, 36, 22, 46, 14, 38, 5, 29)(2, 26, 7, 31, 18, 42, 24, 48, 20, 44, 8, 32)(3, 27, 9, 33, 19, 43, 23, 47, 17, 41, 10, 34)(6, 30, 15, 39, 13, 37, 21, 45, 11, 35, 16, 40)(49, 50)(51, 54)(52, 57)(53, 61)(55, 63)(56, 67)(58, 66)(59, 68)(60, 64)(62, 65)(69, 71)(70, 72)(73, 75)(74, 78)(76, 83)(77, 80)(79, 89)(81, 92)(82, 88)(84, 90)(85, 91)(86, 87)(93, 96)(94, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.260
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 2^24, 12^4 ]

E9.257 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^6, Y2^6, Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y1^2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y2^2 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 4, 28)(2, 26, 6, 30)(3, 27, 8, 32)(5, 29, 12, 36)(7, 31, 15, 39)(9, 33, 19, 43)(10, 34, 21, 45)(11, 35, 22, 46)(13, 37, 18, 42)(14, 38, 16, 40)(17, 41, 20, 44)(23, 47, 24, 48)(49, 50, 53, 59, 55, 51)(52, 57, 66, 70, 68, 58)(54, 61, 72, 63, 69, 62)(56, 64, 67, 60, 71, 65)(73, 75, 79, 83, 77, 74)(76, 82, 92, 94, 90, 81)(78, 86, 93, 87, 96, 85)(80, 89, 95, 84, 91, 88)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.261
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.258 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^6, Y1^-4 * Y2^2, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-3)^2, Y2^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 4, 28)(2, 26, 6, 30)(3, 27, 8, 32)(5, 29, 12, 36)(7, 31, 15, 39)(9, 33, 17, 41)(10, 34, 13, 37)(11, 35, 20, 44)(14, 38, 21, 45)(16, 40, 23, 47)(18, 42, 24, 48)(19, 43, 22, 46)(49, 50, 53, 59, 55, 51)(52, 57, 66, 68, 67, 58)(54, 61, 71, 63, 72, 62)(56, 64, 70, 60, 69, 65)(73, 75, 79, 83, 77, 74)(76, 82, 91, 92, 90, 81)(78, 86, 96, 87, 95, 85)(80, 89, 93, 84, 94, 88)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.262
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.259 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^2, Y3^-1 * Y2 * Y3 * Y1, Y3^-1 * Y2 * Y1 * Y3 * Y2, Y3^6 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 20, 44, 68, 92, 14, 38, 62, 86, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 15, 39, 63, 87, 22, 46, 70, 94, 16, 40, 64, 88, 8, 32, 56, 80)(3, 27, 51, 75, 9, 33, 57, 81, 17, 41, 65, 89, 23, 47, 71, 95, 18, 42, 66, 90, 10, 34, 58, 82)(6, 30, 54, 78, 11, 35, 59, 83, 19, 43, 67, 91, 24, 48, 72, 96, 21, 45, 69, 93, 13, 37, 61, 85)
	L = (1, 26)(2, 25)(3, 30)(4, 33)(5, 37)(6, 27)(7, 35)(8, 34)(9, 28)(10, 32)(11, 31)(12, 43)(13, 29)(14, 42)(15, 41)(16, 45)(17, 39)(18, 38)(19, 36)(20, 46)(21, 40)(22, 44)(23, 48)(24, 47)(49, 75)(50, 78)(51, 73)(52, 83)(53, 80)(54, 74)(55, 81)(56, 77)(57, 79)(58, 85)(59, 76)(60, 87)(61, 82)(62, 93)(63, 84)(64, 90)(65, 91)(66, 88)(67, 89)(68, 95)(69, 86)(70, 96)(71, 92)(72, 94)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.255
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.260 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y3^-1 * Y2 * Y3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, Y3 * Y2 * Y3^2 * Y2 * Y1, Y3^6, Y3^3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 22, 46, 70, 94, 14, 38, 62, 86, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 18, 42, 66, 90, 24, 48, 72, 96, 20, 44, 68, 92, 8, 32, 56, 80)(3, 27, 51, 75, 9, 33, 57, 81, 19, 43, 67, 91, 23, 47, 71, 95, 17, 41, 65, 89, 10, 34, 58, 82)(6, 30, 54, 78, 15, 39, 63, 87, 13, 37, 61, 85, 21, 45, 69, 93, 11, 35, 59, 83, 16, 40, 64, 88)
	L = (1, 26)(2, 25)(3, 30)(4, 33)(5, 37)(6, 27)(7, 39)(8, 43)(9, 28)(10, 42)(11, 44)(12, 40)(13, 29)(14, 41)(15, 31)(16, 36)(17, 38)(18, 34)(19, 32)(20, 35)(21, 47)(22, 48)(23, 45)(24, 46)(49, 75)(50, 78)(51, 73)(52, 83)(53, 80)(54, 74)(55, 89)(56, 77)(57, 92)(58, 88)(59, 76)(60, 90)(61, 91)(62, 87)(63, 86)(64, 82)(65, 79)(66, 84)(67, 85)(68, 81)(69, 96)(70, 95)(71, 94)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.256
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.261 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^6, Y2^6, Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y1^2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y2^2 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 6, 30, 54, 78)(3, 27, 51, 75, 8, 32, 56, 80)(5, 29, 53, 77, 12, 36, 60, 84)(7, 31, 55, 79, 15, 39, 63, 87)(9, 33, 57, 81, 19, 43, 67, 91)(10, 34, 58, 82, 21, 45, 69, 93)(11, 35, 59, 83, 22, 46, 70, 94)(13, 37, 61, 85, 18, 42, 66, 90)(14, 38, 62, 86, 16, 40, 64, 88)(17, 41, 65, 89, 20, 44, 68, 92)(23, 47, 71, 95, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 25)(4, 33)(5, 35)(6, 37)(7, 27)(8, 40)(9, 42)(10, 28)(11, 31)(12, 47)(13, 48)(14, 30)(15, 45)(16, 43)(17, 32)(18, 46)(19, 36)(20, 34)(21, 38)(22, 44)(23, 41)(24, 39)(49, 75)(50, 73)(51, 79)(52, 82)(53, 74)(54, 86)(55, 83)(56, 89)(57, 76)(58, 92)(59, 77)(60, 91)(61, 78)(62, 93)(63, 96)(64, 80)(65, 95)(66, 81)(67, 88)(68, 94)(69, 87)(70, 90)(71, 84)(72, 85)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.257
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.262 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^6, Y1^-4 * Y2^2, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-3)^2, Y2^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 6, 30, 54, 78)(3, 27, 51, 75, 8, 32, 56, 80)(5, 29, 53, 77, 12, 36, 60, 84)(7, 31, 55, 79, 15, 39, 63, 87)(9, 33, 57, 81, 17, 41, 65, 89)(10, 34, 58, 82, 13, 37, 61, 85)(11, 35, 59, 83, 20, 44, 68, 92)(14, 38, 62, 86, 21, 45, 69, 93)(16, 40, 64, 88, 23, 47, 71, 95)(18, 42, 66, 90, 24, 48, 72, 96)(19, 43, 67, 91, 22, 46, 70, 94)
	L = (1, 26)(2, 29)(3, 25)(4, 33)(5, 35)(6, 37)(7, 27)(8, 40)(9, 42)(10, 28)(11, 31)(12, 45)(13, 47)(14, 30)(15, 48)(16, 46)(17, 32)(18, 44)(19, 34)(20, 43)(21, 41)(22, 36)(23, 39)(24, 38)(49, 75)(50, 73)(51, 79)(52, 82)(53, 74)(54, 86)(55, 83)(56, 89)(57, 76)(58, 91)(59, 77)(60, 94)(61, 78)(62, 96)(63, 95)(64, 80)(65, 93)(66, 81)(67, 92)(68, 90)(69, 84)(70, 88)(71, 85)(72, 87)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.258
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2, Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 9, 33)(5, 29, 11, 35)(6, 30, 13, 37)(8, 32, 17, 41)(10, 34, 21, 45)(12, 36, 15, 39)(14, 38, 20, 44)(16, 40, 19, 43)(18, 42, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 56, 80, 66, 90, 58, 82, 52, 76)(50, 74, 53, 77, 60, 84, 70, 94, 62, 86, 54, 78)(55, 79, 63, 87, 71, 95, 69, 93, 61, 85, 64, 88)(57, 81, 67, 91, 59, 83, 65, 89, 72, 96, 68, 92)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^3, Y2^6, (Y2^-3 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 9, 33)(5, 29, 11, 35)(6, 30, 13, 37)(8, 32, 16, 40)(10, 34, 19, 43)(12, 36, 21, 45)(14, 38, 24, 48)(15, 39, 20, 44)(17, 41, 22, 46)(18, 42, 23, 47)(49, 73, 51, 75, 56, 80, 65, 89, 58, 82, 52, 76)(50, 74, 53, 77, 60, 84, 70, 94, 62, 86, 54, 78)(55, 79, 61, 85, 71, 95, 67, 91, 69, 93, 63, 87)(57, 81, 66, 90, 72, 96, 64, 88, 68, 92, 59, 83)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-3 * Y1, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^-2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2^-1 * R * Y2 * Y3 * Y2 * R * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 6, 30)(4, 28, 7, 31)(5, 29, 8, 32)(9, 33, 13, 37)(10, 34, 14, 38)(11, 35, 15, 39)(12, 36, 16, 40)(17, 41, 20, 44)(18, 42, 23, 47)(19, 43, 22, 46)(21, 45, 24, 48)(49, 73, 51, 75, 56, 80, 50, 74, 54, 78, 53, 77)(52, 76, 58, 82, 63, 87, 55, 79, 62, 86, 59, 83)(57, 81, 65, 89, 71, 95, 61, 85, 68, 92, 66, 90)(60, 84, 69, 93, 67, 91, 64, 88, 72, 96, 70, 94)
	L = (1, 52)(2, 55)(3, 57)(4, 49)(5, 60)(6, 61)(7, 50)(8, 64)(9, 51)(10, 67)(11, 68)(12, 53)(13, 54)(14, 70)(15, 65)(16, 56)(17, 63)(18, 69)(19, 58)(20, 59)(21, 66)(22, 62)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.266
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1 * Y3 * Y2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1, Y2 * Y3 * Y2^-1 * R * Y2^-1 * R * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 7, 31)(5, 29, 14, 38)(6, 30, 17, 41)(8, 32, 19, 43)(10, 34, 15, 39)(11, 35, 16, 40)(12, 36, 18, 42)(13, 37, 20, 44)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 58, 82, 55, 79, 64, 88, 53, 77)(50, 74, 54, 78, 61, 85, 52, 76, 60, 84, 56, 80)(57, 81, 67, 91, 70, 94, 59, 83, 68, 92, 69, 93)(62, 86, 71, 95, 66, 90, 63, 87, 72, 96, 65, 89)
	L = (1, 52)(2, 55)(3, 59)(4, 49)(5, 63)(6, 66)(7, 50)(8, 68)(9, 64)(10, 62)(11, 51)(12, 65)(13, 67)(14, 58)(15, 53)(16, 57)(17, 60)(18, 54)(19, 61)(20, 56)(21, 71)(22, 72)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.265
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.267 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1^-1)^2, R * Y2 * R * Y3, (Y2 * Y1^-1)^2, (Y3 * Y2)^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 26, 2, 30, 6, 37, 13, 36, 12, 29, 5, 25)(3, 33, 9, 41, 17, 44, 20, 38, 14, 31, 7, 27)(4, 35, 11, 43, 19, 45, 21, 39, 15, 32, 8, 28)(10, 40, 16, 46, 22, 48, 24, 47, 23, 42, 18, 34)
	L = (1, 3)(2, 7)(4, 10)(5, 9)(6, 14)(8, 16)(11, 18)(12, 17)(13, 20)(15, 22)(19, 23)(21, 24)(25, 28)(26, 32)(27, 34)(29, 35)(30, 39)(31, 40)(33, 42)(36, 43)(37, 45)(38, 46)(41, 47)(44, 48)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.268 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, Y3^6, (Y1 * Y3^-1 * Y2)^6 ]
Map::
	R = (1, 25, 4, 28, 11, 35, 19, 43, 12, 36, 5, 29)(2, 26, 7, 31, 15, 39, 22, 46, 16, 40, 8, 32)(3, 27, 9, 33, 17, 41, 23, 47, 18, 42, 10, 34)(6, 30, 13, 37, 20, 44, 24, 48, 21, 45, 14, 38)(49, 50)(51, 54)(52, 56)(53, 55)(57, 62)(58, 61)(59, 64)(60, 63)(65, 69)(66, 68)(67, 70)(71, 72)(73, 75)(74, 78)(76, 82)(77, 81)(79, 86)(80, 85)(83, 90)(84, 89)(87, 93)(88, 92)(91, 95)(94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.269
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 2^24, 12^4 ]

E9.269 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, Y3^6, (Y1 * Y3^-1 * Y2)^6 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 11, 35, 59, 83, 19, 43, 67, 91, 12, 36, 60, 84, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 15, 39, 63, 87, 22, 46, 70, 94, 16, 40, 64, 88, 8, 32, 56, 80)(3, 27, 51, 75, 9, 33, 57, 81, 17, 41, 65, 89, 23, 47, 71, 95, 18, 42, 66, 90, 10, 34, 58, 82)(6, 30, 54, 78, 13, 37, 61, 85, 20, 44, 68, 92, 24, 48, 72, 96, 21, 45, 69, 93, 14, 38, 62, 86)
	L = (1, 26)(2, 25)(3, 30)(4, 32)(5, 31)(6, 27)(7, 29)(8, 28)(9, 38)(10, 37)(11, 40)(12, 39)(13, 34)(14, 33)(15, 36)(16, 35)(17, 45)(18, 44)(19, 46)(20, 42)(21, 41)(22, 43)(23, 48)(24, 47)(49, 75)(50, 78)(51, 73)(52, 82)(53, 81)(54, 74)(55, 86)(56, 85)(57, 77)(58, 76)(59, 90)(60, 89)(61, 80)(62, 79)(63, 93)(64, 92)(65, 84)(66, 83)(67, 95)(68, 88)(69, 87)(70, 96)(71, 91)(72, 94)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.268
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C2 x C2 (small group id <24, 15>)
Aut   = C2 x C2 x C2 x S3 (small group id <48, 51>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 6, 30)(4, 28, 7, 31)(5, 29, 8, 32)(9, 33, 13, 37)(10, 34, 14, 38)(11, 35, 15, 39)(12, 36, 16, 40)(17, 41, 20, 44)(18, 42, 21, 45)(19, 43, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 60, 84, 53, 77)(50, 74, 54, 78, 61, 85, 68, 92, 64, 88, 56, 80)(52, 76, 58, 82, 66, 90, 71, 95, 67, 91, 59, 83)(55, 79, 62, 86, 69, 93, 72, 96, 70, 94, 63, 87)
	L = (1, 52)(2, 55)(3, 58)(4, 49)(5, 59)(6, 62)(7, 50)(8, 63)(9, 66)(10, 51)(11, 53)(12, 67)(13, 69)(14, 54)(15, 56)(16, 70)(17, 71)(18, 57)(19, 60)(20, 72)(21, 61)(22, 64)(23, 65)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = C2 x C2 x C2 x S3 (small group id <48, 51>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2 * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 8, 32)(4, 28, 7, 31)(5, 29, 6, 30)(9, 33, 16, 40)(10, 34, 15, 39)(11, 35, 14, 38)(12, 36, 13, 37)(17, 41, 20, 44)(18, 42, 22, 46)(19, 43, 21, 45)(23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 60, 84, 53, 77)(50, 74, 54, 78, 61, 85, 68, 92, 64, 88, 56, 80)(52, 76, 58, 82, 66, 90, 71, 95, 67, 91, 59, 83)(55, 79, 62, 86, 69, 93, 72, 96, 70, 94, 63, 87)
	L = (1, 52)(2, 55)(3, 58)(4, 49)(5, 59)(6, 62)(7, 50)(8, 63)(9, 66)(10, 51)(11, 53)(12, 67)(13, 69)(14, 54)(15, 56)(16, 70)(17, 71)(18, 57)(19, 60)(20, 72)(21, 61)(22, 64)(23, 65)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = C2 x C2 x C2 x S3 (small group id <48, 51>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (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, 19, 43)(12, 36, 17, 41)(13, 37, 20, 44)(14, 38, 16, 40)(15, 39, 18, 42)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 59, 83, 69, 93, 62, 86, 53, 77)(50, 74, 55, 79, 64, 88, 71, 95, 67, 91, 57, 81)(52, 76, 60, 84, 54, 78, 61, 85, 70, 94, 63, 87)(56, 80, 65, 89, 58, 82, 66, 90, 72, 96, 68, 92)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 63)(6, 49)(7, 65)(8, 67)(9, 68)(10, 50)(11, 54)(12, 53)(13, 51)(14, 70)(15, 69)(16, 58)(17, 57)(18, 55)(19, 72)(20, 71)(21, 61)(22, 59)(23, 66)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1 * Y3^-1 * Y1 * Y3)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 6, 30)(4, 28, 9, 33)(5, 29, 10, 34)(7, 31, 11, 35)(8, 32, 12, 36)(13, 37, 17, 41)(14, 38, 18, 42)(15, 39, 19, 43)(16, 40, 20, 44)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75)(50, 74, 54, 78)(52, 76, 53, 77)(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, 52)(2, 55)(3, 53)(4, 51)(5, 49)(6, 56)(7, 54)(8, 50)(9, 61)(10, 62)(11, 63)(12, 64)(13, 58)(14, 57)(15, 60)(16, 59)(17, 69)(18, 70)(19, 71)(20, 72)(21, 66)(22, 65)(23, 68)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.282
Graph:: simple bipartite
	v = 24 e = 48 f = 8
	degree seq :: [ 4^24 ]

E9.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2 * Y1 * Y2^-1 * Y1, Y2^4 ]
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, 16, 40)(12, 36, 18, 42)(13, 37, 17, 41)(14, 38, 20, 44)(15, 39, 19, 43)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 60, 84, 69, 93, 62, 86)(54, 78, 61, 85, 70, 94, 63, 87)(56, 80, 65, 89, 71, 95, 67, 91)(58, 82, 66, 90, 72, 96, 68, 92)
	L = (1, 52)(2, 56)(3, 60)(4, 54)(5, 62)(6, 49)(7, 65)(8, 58)(9, 67)(10, 50)(11, 69)(12, 61)(13, 51)(14, 63)(15, 53)(16, 71)(17, 66)(18, 55)(19, 68)(20, 57)(21, 70)(22, 59)(23, 72)(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) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.280
Graph:: simple bipartite
	v = 18 e = 48 f = 14
	degree seq :: [ 4^12, 8^6 ]

E9.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^4, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^3 * Y2^2 ]
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, 24, 48)(15, 39, 23, 47)(16, 40, 22, 46)(17, 41, 21, 45)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 60, 84, 65, 89, 63, 87)(54, 78, 61, 85, 62, 86, 64, 88)(56, 80, 67, 91, 72, 96, 70, 94)(58, 82, 68, 92, 69, 93, 71, 95)
	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, 59)(15, 61)(16, 53)(17, 54)(18, 72)(19, 71)(20, 55)(21, 66)(22, 68)(23, 57)(24, 58)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.281
Graph:: simple bipartite
	v = 18 e = 48 f = 14
	degree seq :: [ 4^12, 8^6 ]

E9.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2 * Y1 * Y2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1 * Y3 * Y2)^3, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 5, 29)(4, 28, 6, 30)(7, 31, 10, 34)(8, 32, 9, 33)(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, 51, 75, 50, 74, 53, 77)(52, 76, 56, 80, 54, 78, 57, 81)(55, 79, 59, 83, 58, 82, 60, 84)(61, 85, 65, 89, 62, 86, 66, 90)(63, 87, 67, 91, 64, 88, 68, 92)(69, 93, 71, 95, 70, 94, 72, 96)
	L = (1, 52)(2, 54)(3, 55)(4, 49)(5, 58)(6, 50)(7, 51)(8, 61)(9, 62)(10, 53)(11, 63)(12, 64)(13, 56)(14, 57)(15, 59)(16, 60)(17, 69)(18, 70)(19, 71)(20, 72)(21, 65)(22, 66)(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) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.279
Graph:: bipartite
	v = 18 e = 48 f = 14
	degree seq :: [ 4^12, 8^6 ]

E9.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2^4, Y3 * Y1 * Y2^2, Y1 * Y2^-2 * Y3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * R * Y3 * Y1 * R * Y2^-1, R * Y2 * Y1 * R * Y2^-1 * Y3, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 7, 31)(5, 29, 10, 34)(6, 30, 11, 35)(8, 32, 12, 36)(13, 37, 17, 41)(14, 38, 18, 42)(15, 39, 19, 43)(16, 40, 20, 44)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 55, 79, 53, 77)(50, 74, 54, 78, 52, 76, 56, 80)(57, 81, 61, 85, 58, 82, 62, 86)(59, 83, 63, 87, 60, 84, 64, 88)(65, 89, 69, 93, 66, 90, 70, 94)(67, 91, 71, 95, 68, 92, 72, 96)
	L = (1, 52)(2, 55)(3, 58)(4, 49)(5, 57)(6, 60)(7, 50)(8, 59)(9, 53)(10, 51)(11, 56)(12, 54)(13, 66)(14, 65)(15, 68)(16, 67)(17, 62)(18, 61)(19, 64)(20, 63)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.278
Graph:: bipartite
	v = 18 e = 48 f = 14
	degree seq :: [ 4^12, 8^6 ]

E9.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y1^6, Y3 * Y1^3 * Y3 * Y1^-3 ]
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, 20, 44, 23, 47, 18, 42, 8, 32, 9, 33, 13, 37, 21, 45, 24, 48, 17, 41, 12, 36)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 57, 81)(53, 77, 58, 82)(54, 78, 64, 88)(56, 80, 60, 84)(59, 83, 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, 60)(8, 50)(9, 51)(10, 59)(11, 58)(12, 55)(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, 8, 4, 8 ), ( 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 E9.277
Graph:: bipartite
	v = 14 e = 48 f = 18
	degree seq :: [ 4^12, 24^2 ]

E9.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y3, (Y3 * Y2)^2, Y3 * Y2 * Y1^6, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 13, 37, 21, 45, 18, 42, 10, 34, 16, 40, 24, 48, 20, 44, 12, 36, 5, 29)(3, 27, 9, 33, 17, 41, 22, 46, 15, 39, 7, 31, 4, 28, 11, 35, 19, 43, 23, 47, 14, 38, 8, 32)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 58, 82)(53, 77, 59, 83)(54, 78, 62, 86)(56, 80, 64, 88)(57, 81, 66, 90)(60, 84, 65, 89)(61, 85, 70, 94)(63, 87, 72, 96)(67, 91, 69, 93)(68, 92, 71, 95)
	L = (1, 52)(2, 56)(3, 58)(4, 49)(5, 57)(6, 63)(7, 64)(8, 50)(9, 53)(10, 51)(11, 66)(12, 67)(13, 71)(14, 72)(15, 54)(16, 55)(17, 69)(18, 59)(19, 60)(20, 70)(21, 65)(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, 8, 4, 8 ), ( 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 E9.276
Graph:: bipartite
	v = 14 e = 48 f = 18
	degree seq :: [ 4^12, 24^2 ]

E9.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1, Y1), Y1 * Y2 * Y3 * Y1^-1 * Y2, Y3 * Y1^4, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 18, 42, 6, 30, 10, 34, 20, 44, 15, 39, 4, 28, 9, 33, 17, 41, 5, 29)(3, 27, 11, 35, 23, 47, 24, 48, 14, 38, 8, 32, 21, 45, 16, 40, 12, 36, 22, 46, 19, 43, 13, 37)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 62, 86)(53, 77, 64, 88)(54, 78, 60, 84)(55, 79, 67, 91)(57, 81, 70, 94)(58, 82, 59, 83)(61, 85, 63, 87)(65, 89, 71, 95)(66, 90, 72, 96)(68, 92, 69, 93)
	L = (1, 52)(2, 57)(3, 60)(4, 54)(5, 63)(6, 49)(7, 65)(8, 59)(9, 58)(10, 50)(11, 70)(12, 62)(13, 64)(14, 51)(15, 66)(16, 72)(17, 68)(18, 53)(19, 69)(20, 55)(21, 71)(22, 56)(23, 67)(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, 8, 4, 8 ), ( 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 E9.274
Graph:: bipartite
	v = 14 e = 48 f = 18
	degree seq :: [ 4^12, 24^2 ]

E9.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3^-1, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 8, 32, 13, 37, 20, 44, 24, 48, 21, 45, 16, 40, 15, 39, 6, 30, 5, 29)(3, 27, 9, 33, 10, 34, 19, 43, 18, 42, 7, 31, 17, 41, 14, 38, 23, 47, 22, 46, 12, 36, 11, 35)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 60, 84)(53, 77, 62, 86)(54, 78, 58, 82)(56, 80, 67, 91)(57, 81, 68, 92)(59, 83, 69, 93)(61, 85, 71, 95)(63, 87, 70, 94)(64, 88, 66, 90)(65, 89, 72, 96)
	L = (1, 52)(2, 56)(3, 58)(4, 61)(5, 50)(6, 49)(7, 62)(8, 68)(9, 67)(10, 66)(11, 57)(12, 51)(13, 72)(14, 70)(15, 53)(16, 54)(17, 71)(18, 65)(19, 55)(20, 69)(21, 63)(22, 59)(23, 60)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 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 E9.275
Graph:: bipartite
	v = 14 e = 48 f = 18
	degree seq :: [ 4^12, 24^2 ]

E9.282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^4, (Y2^-1 * Y1)^2, (Y1^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-6 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 9, 33, 13, 37, 8, 32)(5, 29, 11, 35, 14, 38, 7, 31)(10, 34, 16, 40, 21, 45, 17, 41)(12, 36, 15, 39, 22, 46, 19, 43)(18, 42, 23, 47, 20, 44, 24, 48)(49, 73, 51, 75, 58, 82, 66, 90, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 68, 92, 60, 84, 53, 77)(50, 74, 55, 79, 63, 87, 71, 95, 65, 89, 57, 81, 52, 76, 59, 83, 67, 91, 72, 96, 64, 88, 56, 80)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 59)(6, 52)(7, 53)(8, 51)(9, 61)(10, 64)(11, 62)(12, 63)(13, 56)(14, 55)(15, 70)(16, 69)(17, 58)(18, 71)(19, 60)(20, 72)(21, 65)(22, 67)(23, 68)(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) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E9.273
Graph:: bipartite
	v = 8 e = 48 f = 24
	degree seq :: [ 8^6, 24^2 ]

E9.283 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: halfedge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (R * Y1)^2, (Y2 * Y1^-1)^2, R * Y2 * R * Y3, (Y3 * Y1)^2, Y2 * Y1 * Y3 * Y1^-3, (Y3 * Y2)^3, (Y2 * Y1^-2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 26, 2, 30, 6, 38, 14, 34, 10, 41, 17, 47, 23, 45, 21, 36, 12, 42, 18, 37, 13, 29, 5, 25)(3, 33, 9, 40, 16, 32, 8, 28, 4, 35, 11, 44, 20, 48, 24, 43, 19, 46, 22, 39, 15, 31, 7, 27)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 19)(11, 21)(13, 16)(14, 22)(17, 24)(20, 23)(25, 28)(26, 32)(27, 34)(29, 35)(30, 40)(31, 41)(33, 38)(36, 43)(37, 44)(39, 47)(42, 48)(45, 46)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E9.284
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 6
	degree seq :: [ 24^2 ]

E9.284 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: halfedge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y1^4, (Y2 * Y1)^2, (Y3 * Y2)^3, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 30, 6, 29, 5, 25)(3, 33, 9, 37, 13, 31, 7, 27)(4, 35, 11, 38, 14, 32, 8, 28)(10, 39, 15, 44, 20, 41, 17, 34)(12, 40, 16, 45, 21, 43, 19, 36)(18, 47, 23, 48, 24, 46, 22, 42)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 13)(8, 16)(10, 18)(11, 19)(14, 21)(15, 22)(17, 23)(20, 24)(25, 28)(26, 32)(27, 34)(29, 35)(30, 38)(31, 39)(33, 41)(36, 42)(37, 44)(40, 46)(43, 47)(45, 48)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E9.283
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 24 f = 2
	degree seq :: [ 8^6 ]

E9.285 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: edge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y2)^2, Y3^4, (Y2 * Y1)^3, Y3^-1 * Y2 * Y1 * Y3^-1 * 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, 25, 4, 28, 12, 36, 5, 29)(2, 26, 7, 31, 16, 40, 8, 32)(3, 27, 10, 34, 19, 43, 11, 35)(6, 30, 14, 38, 22, 46, 15, 39)(9, 33, 17, 41, 23, 47, 18, 42)(13, 37, 20, 44, 24, 48, 21, 45)(49, 50)(51, 57)(52, 56)(53, 55)(54, 61)(58, 66)(59, 65)(60, 64)(62, 69)(63, 68)(67, 71)(70, 72)(73, 75)(74, 78)(76, 83)(77, 82)(79, 87)(80, 86)(81, 85)(84, 91)(88, 94)(89, 93)(90, 92)(95, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48, 48 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E9.288
Graph:: simple bipartite
	v = 30 e = 48 f = 2
	degree seq :: [ 2^24, 8^6 ]

E9.286 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: edge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^2 * Y1 * Y3^-2 * Y2, (Y2 * Y1)^3, (Y3^-2 * Y1 * Y2)^2 ]
Map::
	R = (1, 25, 4, 28, 12, 36, 20, 44, 9, 33, 19, 43, 24, 48, 16, 40, 6, 30, 15, 39, 13, 37, 5, 29)(2, 26, 7, 31, 17, 41, 23, 47, 14, 38, 22, 46, 21, 45, 11, 35, 3, 27, 10, 34, 18, 42, 8, 32)(49, 50)(51, 57)(52, 56)(53, 55)(54, 62)(58, 68)(59, 67)(60, 66)(61, 65)(63, 71)(64, 70)(69, 72)(73, 75)(74, 78)(76, 83)(77, 82)(79, 88)(80, 87)(81, 86)(84, 93)(85, 90)(89, 96)(91, 95)(92, 94)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 16 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E9.287
Graph:: simple bipartite
	v = 26 e = 48 f = 6
	degree seq :: [ 2^24, 24^2 ]

E9.287 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 12})
Quotient :: loop^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y2)^2, Y3^4, (Y2 * Y1)^3, Y3^-1 * Y2 * Y1 * Y3^-1 * 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, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 16, 40, 64, 88, 8, 32, 56, 80)(3, 27, 51, 75, 10, 34, 58, 82, 19, 43, 67, 91, 11, 35, 59, 83)(6, 30, 54, 78, 14, 38, 62, 86, 22, 46, 70, 94, 15, 39, 63, 87)(9, 33, 57, 81, 17, 41, 65, 89, 23, 47, 71, 95, 18, 42, 66, 90)(13, 37, 61, 85, 20, 44, 68, 92, 24, 48, 72, 96, 21, 45, 69, 93)
	L = (1, 26)(2, 25)(3, 33)(4, 32)(5, 31)(6, 37)(7, 29)(8, 28)(9, 27)(10, 42)(11, 41)(12, 40)(13, 30)(14, 45)(15, 44)(16, 36)(17, 35)(18, 34)(19, 47)(20, 39)(21, 38)(22, 48)(23, 43)(24, 46)(49, 75)(50, 78)(51, 73)(52, 83)(53, 82)(54, 74)(55, 87)(56, 86)(57, 85)(58, 77)(59, 76)(60, 91)(61, 81)(62, 80)(63, 79)(64, 94)(65, 93)(66, 92)(67, 84)(68, 90)(69, 89)(70, 88)(71, 96)(72, 95)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.286
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 26
	degree seq :: [ 16^6 ]

E9.288 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 12})
Quotient :: loop^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^2 * Y1 * Y3^-2 * Y2, (Y2 * Y1)^3, (Y3^-2 * Y1 * Y2)^2 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 20, 44, 68, 92, 9, 33, 57, 81, 19, 43, 67, 91, 24, 48, 72, 96, 16, 40, 64, 88, 6, 30, 54, 78, 15, 39, 63, 87, 13, 37, 61, 85, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 17, 41, 65, 89, 23, 47, 71, 95, 14, 38, 62, 86, 22, 46, 70, 94, 21, 45, 69, 93, 11, 35, 59, 83, 3, 27, 51, 75, 10, 34, 58, 82, 18, 42, 66, 90, 8, 32, 56, 80)
	L = (1, 26)(2, 25)(3, 33)(4, 32)(5, 31)(6, 38)(7, 29)(8, 28)(9, 27)(10, 44)(11, 43)(12, 42)(13, 41)(14, 30)(15, 47)(16, 46)(17, 37)(18, 36)(19, 35)(20, 34)(21, 48)(22, 40)(23, 39)(24, 45)(49, 75)(50, 78)(51, 73)(52, 83)(53, 82)(54, 74)(55, 88)(56, 87)(57, 86)(58, 77)(59, 76)(60, 93)(61, 90)(62, 81)(63, 80)(64, 79)(65, 96)(66, 85)(67, 95)(68, 94)(69, 84)(70, 92)(71, 91)(72, 89)
	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 E9.285
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 30
	degree seq :: [ 48^2 ]

E9.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 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, Y3^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, Y2^4 ]
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, 16, 40)(12, 36, 20, 44)(13, 37, 19, 43)(14, 38, 18, 42)(15, 39, 17, 41)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 60, 84, 69, 93, 62, 86)(54, 78, 61, 85, 70, 94, 63, 87)(56, 80, 65, 89, 71, 95, 67, 91)(58, 82, 66, 90, 72, 96, 68, 92)
	L = (1, 52)(2, 56)(3, 60)(4, 54)(5, 62)(6, 49)(7, 65)(8, 58)(9, 67)(10, 50)(11, 69)(12, 61)(13, 51)(14, 63)(15, 53)(16, 71)(17, 66)(18, 55)(19, 68)(20, 57)(21, 70)(22, 59)(23, 72)(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) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.291
Graph:: simple bipartite
	v = 18 e = 48 f = 14
	degree seq :: [ 4^12, 8^6 ]

E9.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 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^-1, Y2^-1), Y2^4, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y3^3 * Y2^2 ]
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, 18, 42)(12, 36, 23, 47)(13, 37, 22, 46)(14, 38, 24, 48)(15, 39, 20, 44)(16, 40, 19, 43)(17, 41, 21, 45)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 60, 84, 65, 89, 63, 87)(54, 78, 61, 85, 62, 86, 64, 88)(56, 80, 67, 91, 72, 96, 70, 94)(58, 82, 68, 92, 69, 93, 71, 95)
	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, 59)(15, 61)(16, 53)(17, 54)(18, 72)(19, 71)(20, 55)(21, 66)(22, 68)(23, 57)(24, 58)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.292
Graph:: simple bipartite
	v = 18 e = 48 f = 14
	degree seq :: [ 4^12, 8^6 ]

E9.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 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, Y3^3, (Y1 * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y3)^2, Y3 * Y1^4, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 16, 40, 6, 30, 10, 34, 18, 42, 14, 38, 4, 28, 9, 33, 15, 39, 5, 29)(3, 27, 11, 35, 21, 45, 20, 44, 13, 37, 23, 47, 24, 48, 19, 43, 12, 36, 22, 46, 17, 41, 8, 32)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 61, 85)(53, 77, 59, 83)(54, 78, 60, 84)(55, 79, 65, 89)(57, 81, 68, 92)(58, 82, 67, 91)(62, 86, 71, 95)(63, 87, 69, 93)(64, 88, 70, 94)(66, 90, 72, 96)
	L = (1, 52)(2, 57)(3, 60)(4, 54)(5, 62)(6, 49)(7, 63)(8, 67)(9, 58)(10, 50)(11, 70)(12, 61)(13, 51)(14, 64)(15, 66)(16, 53)(17, 72)(18, 55)(19, 68)(20, 56)(21, 65)(22, 71)(23, 59)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 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 E9.289
Graph:: bipartite
	v = 14 e = 48 f = 18
	degree seq :: [ 4^12, 24^2 ]

E9.292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 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, Y1^2 * Y3^-1, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 8, 32, 12, 36, 16, 40, 20, 44, 21, 45, 14, 38, 13, 37, 6, 30, 5, 29)(3, 27, 9, 33, 10, 34, 17, 41, 18, 42, 23, 47, 24, 48, 22, 46, 19, 43, 15, 39, 11, 35, 7, 31)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 59, 83)(53, 77, 57, 81)(54, 78, 58, 82)(56, 80, 63, 87)(60, 84, 67, 91)(61, 85, 65, 89)(62, 86, 66, 90)(64, 88, 70, 94)(68, 92, 72, 96)(69, 93, 71, 95)
	L = (1, 52)(2, 56)(3, 58)(4, 60)(5, 50)(6, 49)(7, 57)(8, 64)(9, 65)(10, 66)(11, 51)(12, 68)(13, 53)(14, 54)(15, 55)(16, 69)(17, 71)(18, 72)(19, 59)(20, 62)(21, 61)(22, 63)(23, 70)(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, 8, 4, 8 ), ( 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 E9.290
Graph:: bipartite
	v = 14 e = 48 f = 18
	degree seq :: [ 4^12, 24^2 ]

E9.293 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 12})
Quotient :: edge
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-3, T1 * T2^-1 * T1 * T2^2, T2 * T1^3 * T2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 10, 6, 19, 21, 24, 22, 20, 13, 17, 5)(2, 7, 11, 18, 16, 9, 23, 15, 14, 4, 12, 8)(25, 26, 30, 42, 48, 47, 37, 28)(27, 33, 43, 38, 46, 32, 41, 35)(29, 39, 34, 36, 45, 31, 44, 40)
	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) :: { ( 16^8 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E9.295
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 24 f = 3
	degree seq :: [ 8^3, 12^2 ]

E9.294 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 12})
Quotient :: edge
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^3, T1 * T2^-2 * T1 * T2, T2 * T1^-1 * T2 * T1^-3 ]
Map:: non-degenerate
	R = (1, 3, 10, 13, 21, 20, 24, 22, 19, 6, 17, 5)(2, 7, 14, 4, 12, 9, 23, 15, 11, 18, 16, 8)(25, 26, 30, 42, 48, 47, 37, 28)(27, 33, 41, 38, 46, 32, 45, 35)(29, 39, 43, 36, 44, 31, 34, 40)
	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) :: { ( 16^8 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E9.296
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 24 f = 3
	degree seq :: [ 8^3, 12^2 ]

E9.295 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 12})
Quotient :: loop
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ F^2, T1^2 * T2^-2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^2 * T1^6, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 6, 30, 15, 39, 22, 46, 20, 44, 11, 35, 5, 29)(2, 26, 7, 31, 14, 38, 23, 47, 19, 43, 12, 36, 4, 28, 8, 32)(9, 33, 16, 40, 24, 48, 21, 45, 13, 37, 18, 42, 10, 34, 17, 41)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 34)(6, 38)(7, 40)(8, 41)(9, 39)(10, 27)(11, 28)(12, 42)(13, 29)(14, 46)(15, 48)(16, 47)(17, 31)(18, 32)(19, 35)(20, 37)(21, 36)(22, 43)(23, 45)(24, 44)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.293
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 24 f = 5
	degree seq :: [ 16^3 ]

E9.296 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 12})
Quotient :: loop
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2^-1 * T1, T1^8 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 6, 30, 15, 39, 22, 46, 21, 45, 11, 35, 5, 29)(2, 26, 7, 31, 14, 38, 23, 47, 20, 44, 12, 36, 4, 28, 8, 32)(9, 33, 18, 42, 24, 48, 17, 41, 13, 37, 16, 40, 10, 34, 19, 43)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 34)(6, 38)(7, 40)(8, 41)(9, 39)(10, 27)(11, 28)(12, 42)(13, 29)(14, 46)(15, 48)(16, 47)(17, 31)(18, 32)(19, 36)(20, 35)(21, 37)(22, 44)(23, 43)(24, 45)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.294
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 24 f = 5
	degree seq :: [ 16^3 ]

E9.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^2 * Y1 * Y2^-1, Y1^2 * Y2^-3, Y2 * Y1^3 * Y2 * Y1, Y1^-3 * Y2^-1 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 18, 42, 24, 48, 23, 47, 13, 37, 4, 28)(3, 27, 9, 33, 19, 43, 14, 38, 22, 46, 8, 32, 17, 41, 11, 35)(5, 29, 15, 39, 10, 34, 12, 36, 21, 45, 7, 31, 20, 44, 16, 40)(49, 73, 51, 75, 58, 82, 54, 78, 67, 91, 69, 93, 72, 96, 70, 94, 68, 92, 61, 85, 65, 89, 53, 77)(50, 74, 55, 79, 59, 83, 66, 90, 64, 88, 57, 81, 71, 95, 63, 87, 62, 86, 52, 76, 60, 84, 56, 80)
	L = (1, 51)(2, 55)(3, 58)(4, 60)(5, 49)(6, 67)(7, 59)(8, 50)(9, 71)(10, 54)(11, 66)(12, 56)(13, 65)(14, 52)(15, 62)(16, 57)(17, 53)(18, 64)(19, 69)(20, 61)(21, 72)(22, 68)(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) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 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 E9.300
Graph:: bipartite
	v = 5 e = 48 f = 27
	degree seq :: [ 16^3, 24^2 ]

E9.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-2, Y1^2 * Y2^3, Y2 * Y1^-1 * Y2 * Y1^-3, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 18, 42, 24, 48, 23, 47, 13, 37, 4, 28)(3, 27, 9, 33, 17, 41, 14, 38, 22, 46, 8, 32, 21, 45, 11, 35)(5, 29, 15, 39, 19, 43, 12, 36, 20, 44, 7, 31, 10, 34, 16, 40)(49, 73, 51, 75, 58, 82, 61, 85, 69, 93, 68, 92, 72, 96, 70, 94, 67, 91, 54, 78, 65, 89, 53, 77)(50, 74, 55, 79, 62, 86, 52, 76, 60, 84, 57, 81, 71, 95, 63, 87, 59, 83, 66, 90, 64, 88, 56, 80)
	L = (1, 51)(2, 55)(3, 58)(4, 60)(5, 49)(6, 65)(7, 62)(8, 50)(9, 71)(10, 61)(11, 66)(12, 57)(13, 69)(14, 52)(15, 59)(16, 56)(17, 53)(18, 64)(19, 54)(20, 72)(21, 68)(22, 67)(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) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 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 E9.299
Graph:: bipartite
	v = 5 e = 48 f = 27
	degree seq :: [ 16^3, 24^2 ]

E9.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y2 * Y3^2 * Y2 * Y3^-1, Y2 * Y3^-3 * Y2, Y3 * Y2^3 * Y3 * Y2, (Y3^-1 * Y1^-1)^12 ]
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, 66, 90, 72, 96, 71, 95, 61, 85, 52, 76)(51, 75, 57, 81, 67, 91, 62, 86, 70, 94, 56, 80, 65, 89, 59, 83)(53, 77, 63, 87, 58, 82, 60, 84, 69, 93, 55, 79, 68, 92, 64, 88)
	L = (1, 51)(2, 55)(3, 58)(4, 60)(5, 49)(6, 67)(7, 59)(8, 50)(9, 71)(10, 54)(11, 66)(12, 56)(13, 65)(14, 52)(15, 62)(16, 57)(17, 53)(18, 64)(19, 69)(20, 61)(21, 72)(22, 68)(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) :: { ( 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.298
Graph:: simple bipartite
	v = 27 e = 48 f = 5
	degree seq :: [ 2^24, 16^3 ]

E9.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * R * Y2^-1 * R, Y2 * Y3 * Y2 * Y3^-2, Y2 * Y3^3 * Y2, Y3^-1 * Y2^3 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^12 ]
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, 66, 90, 72, 96, 71, 95, 61, 85, 52, 76)(51, 75, 57, 81, 65, 89, 62, 86, 70, 94, 56, 80, 69, 93, 59, 83)(53, 77, 63, 87, 67, 91, 60, 84, 68, 92, 55, 79, 58, 82, 64, 88)
	L = (1, 51)(2, 55)(3, 58)(4, 60)(5, 49)(6, 65)(7, 62)(8, 50)(9, 71)(10, 61)(11, 66)(12, 57)(13, 69)(14, 52)(15, 59)(16, 56)(17, 53)(18, 64)(19, 54)(20, 72)(21, 68)(22, 67)(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) :: { ( 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.297
Graph:: simple bipartite
	v = 27 e = 48 f = 5
	degree seq :: [ 2^24, 16^3 ]

E9.301 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 12})
Quotient :: edge
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2), T1^-2 * T2^-4, T1^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 24, 16, 6, 15, 13, 5)(2, 7, 17, 12, 4, 10, 20, 23, 14, 22, 18, 8)(25, 26, 30, 38, 35, 28)(27, 31, 39, 46, 45, 34)(29, 32, 40, 47, 43, 36)(33, 41, 37, 42, 48, 44)
	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) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.302
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 24 f = 2
	degree seq :: [ 6^4, 12^2 ]

E9.302 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 12})
Quotient :: loop
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2), T1^-2 * T2^-4, T1^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 19, 43, 11, 35, 21, 45, 24, 48, 16, 40, 6, 30, 15, 39, 13, 37, 5, 29)(2, 26, 7, 31, 17, 41, 12, 36, 4, 28, 10, 34, 20, 44, 23, 47, 14, 38, 22, 46, 18, 42, 8, 32)
	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, 35)(15, 46)(16, 47)(17, 37)(18, 48)(19, 36)(20, 33)(21, 34)(22, 45)(23, 43)(24, 44)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.301
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 6
	degree seq :: [ 24^2 ]

E9.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y2^-1 * Y3 * Y2^-3 * Y1^-1, Y3^6, Y1^6, Y2^12 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 22, 46, 21, 45, 10, 34)(5, 29, 8, 32, 16, 40, 23, 47, 19, 43, 12, 36)(9, 33, 17, 41, 13, 37, 18, 42, 24, 48, 20, 44)(49, 73, 51, 75, 57, 81, 67, 91, 59, 83, 69, 93, 72, 96, 64, 88, 54, 78, 63, 87, 61, 85, 53, 77)(50, 74, 55, 79, 65, 89, 60, 84, 52, 76, 58, 82, 68, 92, 71, 95, 62, 86, 70, 94, 66, 90, 56, 80)
	L = (1, 52)(2, 49)(3, 58)(4, 59)(5, 60)(6, 50)(7, 51)(8, 53)(9, 68)(10, 69)(11, 62)(12, 67)(13, 65)(14, 54)(15, 55)(16, 56)(17, 57)(18, 61)(19, 71)(20, 72)(21, 70)(22, 63)(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) :: { ( 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 E9.304
Graph:: bipartite
	v = 6 e = 48 f = 26
	degree seq :: [ 12^4, 24^2 ]

E9.304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 13, 37, 18, 42, 23, 47, 20, 44, 9, 33, 17, 41, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 12, 36, 5, 29, 8, 32, 16, 40, 22, 46, 19, 43, 24, 48, 21, 45, 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, 67)(10, 68)(11, 69)(12, 52)(13, 53)(14, 60)(15, 59)(16, 54)(17, 72)(18, 56)(19, 61)(20, 70)(21, 71)(22, 62)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.303
Graph:: simple bipartite
	v = 26 e = 48 f = 6
	degree seq :: [ 2^24, 24^2 ]

E9.305 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 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), T1^6, T2^4 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 24, 13, 5)(2, 7, 17, 22, 11, 21, 18, 8)(4, 10, 20, 16, 6, 15, 23, 12)(25, 26, 30, 38, 35, 28)(27, 31, 39, 48, 45, 34)(29, 32, 40, 43, 46, 36)(33, 41, 47, 37, 42, 44)
	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 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E9.309
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 24 f = 1
	degree seq :: [ 6^4, 8^3 ]

E9.306 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^8, (T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 3, 8, 2, 7, 14, 6, 13, 20, 12, 19, 24, 18, 23, 22, 16, 21, 17, 10, 15, 11, 4, 9, 5)(25, 26, 30, 36, 42, 40, 34, 28)(27, 31, 37, 43, 47, 45, 39, 33)(29, 32, 38, 44, 48, 46, 41, 35)
	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) :: { ( 12^8 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E9.310
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 8^3, 24 ]

E9.307 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 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 * T1^4, T2^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 13, 5)(2, 7, 15, 22, 16, 8)(4, 10, 18, 23, 20, 12)(6, 11, 19, 24, 21, 14)(25, 26, 30, 36, 29, 32, 38, 44, 37, 40, 45, 47, 41, 46, 48, 42, 33, 39, 43, 34, 27, 31, 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) :: { ( 16^6 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E9.308
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 24 f = 3
	degree seq :: [ 6^4, 24 ]

E9.308 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 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), T1^6, T2^4 * T1^3 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 19, 43, 14, 38, 24, 48, 13, 37, 5, 29)(2, 26, 7, 31, 17, 41, 22, 46, 11, 35, 21, 45, 18, 42, 8, 32)(4, 28, 10, 34, 20, 44, 16, 40, 6, 30, 15, 39, 23, 47, 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, 35)(15, 48)(16, 43)(17, 47)(18, 44)(19, 46)(20, 33)(21, 34)(22, 36)(23, 37)(24, 45)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.307
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 24 f = 5
	degree seq :: [ 16^3 ]

E9.309 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^8, (T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 8, 32, 2, 26, 7, 31, 14, 38, 6, 30, 13, 37, 20, 44, 12, 36, 19, 43, 24, 48, 18, 42, 23, 47, 22, 46, 16, 40, 21, 45, 17, 41, 10, 34, 15, 39, 11, 35, 4, 28, 9, 33, 5, 29)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 36)(7, 37)(8, 38)(9, 27)(10, 28)(11, 29)(12, 42)(13, 43)(14, 44)(15, 33)(16, 34)(17, 35)(18, 40)(19, 47)(20, 48)(21, 39)(22, 41)(23, 45)(24, 46)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.305
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 24 f = 7
	degree seq :: [ 48 ]

E9.310 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 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 * T1^4, T2^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 17, 41, 13, 37, 5, 29)(2, 26, 7, 31, 15, 39, 22, 46, 16, 40, 8, 32)(4, 28, 10, 34, 18, 42, 23, 47, 20, 44, 12, 36)(6, 30, 11, 35, 19, 43, 24, 48, 21, 45, 14, 38)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 36)(7, 35)(8, 38)(9, 39)(10, 27)(11, 28)(12, 29)(13, 40)(14, 44)(15, 43)(16, 45)(17, 46)(18, 33)(19, 34)(20, 37)(21, 47)(22, 48)(23, 41)(24, 42)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.306
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^6, Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2, Y2^-1 * Y1^2 * Y2^-3 * Y1, Y1^-1 * Y3^4 * Y2^-1 * Y3 * Y2, Y2^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 24, 48, 21, 45, 10, 34)(5, 29, 8, 32, 16, 40, 19, 43, 22, 46, 12, 36)(9, 33, 17, 41, 23, 47, 13, 37, 18, 42, 20, 44)(49, 73, 51, 75, 57, 81, 67, 91, 62, 86, 72, 96, 61, 85, 53, 77)(50, 74, 55, 79, 65, 89, 70, 94, 59, 83, 69, 93, 66, 90, 56, 80)(52, 76, 58, 82, 68, 92, 64, 88, 54, 78, 63, 87, 71, 95, 60, 84)
	L = (1, 52)(2, 49)(3, 58)(4, 59)(5, 60)(6, 50)(7, 51)(8, 53)(9, 68)(10, 69)(11, 62)(12, 70)(13, 71)(14, 54)(15, 55)(16, 56)(17, 57)(18, 61)(19, 64)(20, 66)(21, 72)(22, 67)(23, 65)(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) :: { ( 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 E9.314
Graph:: bipartite
	v = 7 e = 48 f = 25
	degree seq :: [ 12^4, 16^3 ]

E9.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 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, Y2^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^8, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 12, 36, 18, 42, 16, 40, 10, 34, 4, 28)(3, 27, 7, 31, 13, 37, 19, 43, 23, 47, 21, 45, 15, 39, 9, 33)(5, 29, 8, 32, 14, 38, 20, 44, 24, 48, 22, 46, 17, 41, 11, 35)(49, 73, 51, 75, 56, 80, 50, 74, 55, 79, 62, 86, 54, 78, 61, 85, 68, 92, 60, 84, 67, 91, 72, 96, 66, 90, 71, 95, 70, 94, 64, 88, 69, 93, 65, 89, 58, 82, 63, 87, 59, 83, 52, 76, 57, 81, 53, 77)
	L = (1, 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) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E9.313
Graph:: bipartite
	v = 4 e = 48 f = 28
	degree seq :: [ 16^3, 48 ]

E9.313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y3^4, Y2^6, (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, 59, 83, 52, 76)(51, 75, 55, 79, 63, 87, 69, 93, 66, 90, 58, 82)(53, 77, 56, 80, 64, 88, 70, 94, 67, 91, 60, 84)(57, 81, 65, 89, 71, 95, 72, 96, 68, 92, 61, 85)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 63)(7, 65)(8, 50)(9, 56)(10, 61)(11, 66)(12, 52)(13, 53)(14, 69)(15, 71)(16, 54)(17, 64)(18, 68)(19, 59)(20, 60)(21, 72)(22, 62)(23, 70)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E9.312
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 2^24, 12^4 ]

E9.314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 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 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 12, 36, 5, 29, 8, 32, 14, 38, 20, 44, 13, 37, 16, 40, 21, 45, 23, 47, 17, 41, 22, 46, 24, 48, 18, 42, 9, 33, 15, 39, 19, 43, 10, 34, 3, 27, 7, 31, 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, 59)(7, 63)(8, 50)(9, 65)(10, 66)(11, 67)(12, 52)(13, 53)(14, 54)(15, 70)(16, 56)(17, 61)(18, 71)(19, 72)(20, 60)(21, 62)(22, 64)(23, 68)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.311
Graph:: bipartite
	v = 25 e = 48 f = 7
	degree seq :: [ 2^24, 48 ]

E9.315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y3^-1 * Y2^4, Y3^6, Y1^6, Y2 * Y3^2 * Y2 * Y3^2 * Y2^2 * Y3 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 19, 43, 10, 34)(5, 29, 8, 32, 16, 40, 22, 46, 20, 44, 12, 36)(9, 33, 13, 37, 17, 41, 23, 47, 24, 48, 18, 42)(49, 73, 51, 75, 57, 81, 60, 84, 52, 76, 58, 82, 66, 90, 68, 92, 59, 83, 67, 91, 72, 96, 70, 94, 62, 86, 69, 93, 71, 95, 64, 88, 54, 78, 63, 87, 65, 89, 56, 80, 50, 74, 55, 79, 61, 85, 53, 77)
	L = (1, 52)(2, 49)(3, 58)(4, 59)(5, 60)(6, 50)(7, 51)(8, 53)(9, 66)(10, 67)(11, 62)(12, 68)(13, 57)(14, 54)(15, 55)(16, 56)(17, 61)(18, 72)(19, 69)(20, 70)(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, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E9.316
Graph:: bipartite
	v = 5 e = 48 f = 27
	degree seq :: [ 12^4, 48 ]

E9.316 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^8, (Y1^-1 * Y3^-1)^6, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 12, 36, 18, 42, 16, 40, 10, 34, 4, 28)(3, 27, 7, 31, 13, 37, 19, 43, 23, 47, 21, 45, 15, 39, 9, 33)(5, 29, 8, 32, 14, 38, 20, 44, 24, 48, 22, 46, 17, 41, 11, 35)(49, 73)(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, 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) :: { ( 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E9.315
Graph:: simple bipartite
	v = 27 e = 48 f = 5
	degree seq :: [ 2^24, 16^3 ]

E9.317 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 24, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^6 * T1, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 19, 11, 4, 10, 18, 24, 22, 14, 6, 13, 21, 23, 16, 8, 2, 7, 15, 20, 12, 5)(25, 26, 30, 28)(27, 31, 37, 34)(29, 32, 38, 35)(33, 39, 45, 42)(36, 40, 46, 43)(41, 44, 47, 48)
	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) :: { ( 48^4 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E9.319
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 24 f = 1
	degree seq :: [ 4^6, 24 ]

E9.318 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 24, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^6 * T1^-1, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 16, 8, 2, 7, 15, 23, 22, 14, 6, 13, 21, 24, 19, 11, 4, 10, 18, 20, 12, 5)(25, 26, 30, 28)(27, 31, 37, 34)(29, 32, 38, 35)(33, 39, 45, 42)(36, 40, 46, 43)(41, 47, 48, 44)
	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) :: { ( 48^4 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E9.320
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 24 f = 1
	degree seq :: [ 4^6, 24 ]

E9.319 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 24, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^6 * T1, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 17, 41, 19, 43, 11, 35, 4, 28, 10, 34, 18, 42, 24, 48, 22, 46, 14, 38, 6, 30, 13, 37, 21, 45, 23, 47, 16, 40, 8, 32, 2, 26, 7, 31, 15, 39, 20, 44, 12, 36, 5, 29)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 28)(7, 37)(8, 38)(9, 39)(10, 27)(11, 29)(12, 40)(13, 34)(14, 35)(15, 45)(16, 46)(17, 44)(18, 33)(19, 36)(20, 47)(21, 42)(22, 43)(23, 48)(24, 41)
	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 ) }
Outer automorphisms :: reflexible
Dual of E9.317
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 24 f = 7
	degree seq :: [ 48 ]

E9.320 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 24, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^6 * T1^-1, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 17, 41, 16, 40, 8, 32, 2, 26, 7, 31, 15, 39, 23, 47, 22, 46, 14, 38, 6, 30, 13, 37, 21, 45, 24, 48, 19, 43, 11, 35, 4, 28, 10, 34, 18, 42, 20, 44, 12, 36, 5, 29)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 28)(7, 37)(8, 38)(9, 39)(10, 27)(11, 29)(12, 40)(13, 34)(14, 35)(15, 45)(16, 46)(17, 47)(18, 33)(19, 36)(20, 41)(21, 42)(22, 43)(23, 48)(24, 44)
	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 ) }
Outer automorphisms :: reflexible
Dual of E9.318
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 24 f = 7
	degree seq :: [ 48 ]

E9.321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y1^4, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^-2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y3 * Y2^6, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 7, 31, 13, 37, 10, 34)(5, 29, 8, 32, 14, 38, 11, 35)(9, 33, 15, 39, 21, 45, 18, 42)(12, 36, 16, 40, 22, 46, 19, 43)(17, 41, 23, 47, 24, 48, 20, 44)(49, 73, 51, 75, 57, 81, 65, 89, 64, 88, 56, 80, 50, 74, 55, 79, 63, 87, 71, 95, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 72, 96, 67, 91, 59, 83, 52, 76, 58, 82, 66, 90, 68, 92, 60, 84, 53, 77)
	L = (1, 52)(2, 49)(3, 58)(4, 54)(5, 59)(6, 50)(7, 51)(8, 53)(9, 66)(10, 61)(11, 62)(12, 67)(13, 55)(14, 56)(15, 57)(16, 60)(17, 68)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.324
Graph:: bipartite
	v = 7 e = 48 f = 25
	degree seq :: [ 8^6, 48 ]

E9.322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^4, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^6 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 7, 31, 13, 37, 10, 34)(5, 29, 8, 32, 14, 38, 11, 35)(9, 33, 15, 39, 21, 45, 18, 42)(12, 36, 16, 40, 22, 46, 19, 43)(17, 41, 20, 44, 23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 67, 91, 59, 83, 52, 76, 58, 82, 66, 90, 72, 96, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 71, 95, 64, 88, 56, 80, 50, 74, 55, 79, 63, 87, 68, 92, 60, 84, 53, 77)
	L = (1, 52)(2, 49)(3, 58)(4, 54)(5, 59)(6, 50)(7, 51)(8, 53)(9, 66)(10, 61)(11, 62)(12, 67)(13, 55)(14, 56)(15, 57)(16, 60)(17, 72)(18, 69)(19, 70)(20, 65)(21, 63)(22, 64)(23, 68)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E9.323
Graph:: bipartite
	v = 7 e = 48 f = 25
	degree seq :: [ 8^6, 48 ]

E9.323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^4, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3 * Y1^6, Y1 * Y3^-2 * Y1^-2 * Y3^-2 * Y1, (Y3 * Y2^-1)^4, (Y1^-1 * Y3^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 13, 37, 20, 44, 12, 36, 5, 29, 8, 32, 15, 39, 21, 45, 23, 47, 17, 41, 9, 33, 16, 40, 22, 46, 24, 48, 18, 42, 10, 34, 3, 27, 7, 31, 14, 38, 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, 62)(7, 64)(8, 50)(9, 53)(10, 65)(11, 66)(12, 52)(13, 67)(14, 70)(15, 54)(16, 56)(17, 60)(18, 71)(19, 72)(20, 59)(21, 61)(22, 63)(23, 68)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E9.322
Graph:: bipartite
	v = 25 e = 48 f = 7
	degree seq :: [ 2^24, 48 ]

E9.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^4, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^6, (Y3 * Y2^-1)^4, (Y1^-1 * Y3^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 13, 37, 18, 42, 10, 34, 3, 27, 7, 31, 14, 38, 21, 45, 23, 47, 17, 41, 9, 33, 16, 40, 22, 46, 24, 48, 20, 44, 12, 36, 5, 29, 8, 32, 15, 39, 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, 62)(7, 64)(8, 50)(9, 53)(10, 65)(11, 66)(12, 52)(13, 69)(14, 70)(15, 54)(16, 56)(17, 60)(18, 71)(19, 61)(20, 59)(21, 72)(22, 63)(23, 68)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E9.321
Graph:: bipartite
	v = 25 e = 48 f = 7
	degree seq :: [ 2^24, 48 ]

E9.325 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 27, 27})
Quotient :: edge
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^9 * T1^-1, (T1^-1 * T2^-1)^27 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 25, 19, 13, 7, 2, 6, 12, 18, 24, 27, 22, 16, 10, 4, 9, 15, 21, 26, 23, 17, 11, 5)(28, 29, 31)(30, 33, 36)(32, 34, 37)(35, 39, 42)(38, 40, 43)(41, 45, 48)(44, 46, 49)(47, 51, 53)(50, 52, 54)
	L = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)
	local type(s) :: { ( 54^3 ), ( 54^27 ) }
Outer automorphisms :: reflexible
Dual of E9.329
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 27 f = 1
	degree seq :: [ 3^9, 27 ]

E9.326 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 27, 27})
Quotient :: edge
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-9 * T1^-1, (T1^-1 * T2^-1)^27 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 22, 16, 10, 4, 9, 15, 21, 27, 25, 19, 13, 7, 2, 6, 12, 18, 24, 23, 17, 11, 5)(28, 29, 31)(30, 33, 36)(32, 34, 37)(35, 39, 42)(38, 40, 43)(41, 45, 48)(44, 46, 49)(47, 51, 54)(50, 52, 53)
	L = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)
	local type(s) :: { ( 54^3 ), ( 54^27 ) }
Outer automorphisms :: reflexible
Dual of E9.328
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 27 f = 1
	degree seq :: [ 3^9, 27 ]

E9.327 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 27, 27})
Quotient :: edge
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1 * T2^2, T1^6 * T2^-1 * T1^2, T2^6 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 24, 16, 6, 15, 12, 4, 10, 20, 26, 22, 18, 8, 2, 7, 17, 11, 21, 27, 23, 14, 13, 5)(28, 29, 33, 41, 49, 52, 48, 37, 30, 34, 42, 40, 45, 51, 54, 47, 36, 44, 39, 32, 35, 43, 50, 53, 46, 38, 31)
	L = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)
	local type(s) :: { ( 6^27 ) }
Outer automorphisms :: reflexible
Dual of E9.330
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 27 f = 9
	degree seq :: [ 27^2 ]

E9.328 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 27, 27})
Quotient :: loop
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^9 * T1^-1, (T1^-1 * T2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 3, 30, 8, 35, 14, 41, 20, 47, 25, 52, 19, 46, 13, 40, 7, 34, 2, 29, 6, 33, 12, 39, 18, 45, 24, 51, 27, 54, 22, 49, 16, 43, 10, 37, 4, 31, 9, 36, 15, 42, 21, 48, 26, 53, 23, 50, 17, 44, 11, 38, 5, 32)
	L = (1, 29)(2, 31)(3, 33)(4, 28)(5, 34)(6, 36)(7, 37)(8, 39)(9, 30)(10, 32)(11, 40)(12, 42)(13, 43)(14, 45)(15, 35)(16, 38)(17, 46)(18, 48)(19, 49)(20, 51)(21, 41)(22, 44)(23, 52)(24, 53)(25, 54)(26, 47)(27, 50)
	local type(s) :: { ( 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27 ) }
Outer automorphisms :: reflexible
Dual of E9.326
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 27 f = 10
	degree seq :: [ 54 ]

E9.329 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 27, 27})
Quotient :: loop
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-9 * T1^-1, (T1^-1 * T2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 3, 30, 8, 35, 14, 41, 20, 47, 26, 53, 22, 49, 16, 43, 10, 37, 4, 31, 9, 36, 15, 42, 21, 48, 27, 54, 25, 52, 19, 46, 13, 40, 7, 34, 2, 29, 6, 33, 12, 39, 18, 45, 24, 51, 23, 50, 17, 44, 11, 38, 5, 32)
	L = (1, 29)(2, 31)(3, 33)(4, 28)(5, 34)(6, 36)(7, 37)(8, 39)(9, 30)(10, 32)(11, 40)(12, 42)(13, 43)(14, 45)(15, 35)(16, 38)(17, 46)(18, 48)(19, 49)(20, 51)(21, 41)(22, 44)(23, 52)(24, 54)(25, 53)(26, 50)(27, 47)
	local type(s) :: { ( 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27 ) }
Outer automorphisms :: reflexible
Dual of E9.325
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 27 f = 10
	degree seq :: [ 54 ]

E9.330 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 27, 27})
Quotient :: loop
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2 * T1^-9, (T1^-1 * T2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 3, 30, 5, 32)(2, 29, 7, 34, 8, 35)(4, 31, 9, 36, 11, 38)(6, 33, 13, 40, 14, 41)(10, 37, 15, 42, 17, 44)(12, 39, 19, 46, 20, 47)(16, 43, 21, 48, 23, 50)(18, 45, 25, 52, 26, 53)(22, 49, 24, 51, 27, 54)
	L = (1, 29)(2, 33)(3, 34)(4, 28)(5, 35)(6, 39)(7, 40)(8, 41)(9, 30)(10, 31)(11, 32)(12, 45)(13, 46)(14, 47)(15, 36)(16, 37)(17, 38)(18, 51)(19, 52)(20, 53)(21, 42)(22, 43)(23, 44)(24, 48)(25, 54)(26, 49)(27, 50)
	local type(s) :: { ( 27^6 ) }
Outer automorphisms :: reflexible
Dual of E9.327
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 27 f = 2
	degree seq :: [ 6^9 ]

E9.331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^3, Y1^3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3 * Y2^-9, 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 ]
Map::
	R = (1, 28, 2, 29, 4, 31)(3, 30, 6, 33, 9, 36)(5, 32, 7, 34, 10, 37)(8, 35, 12, 39, 15, 42)(11, 38, 13, 40, 16, 43)(14, 41, 18, 45, 21, 48)(17, 44, 19, 46, 22, 49)(20, 47, 24, 51, 27, 54)(23, 50, 25, 52, 26, 53)(55, 82, 57, 84, 62, 89, 68, 95, 74, 101, 80, 107, 76, 103, 70, 97, 64, 91, 58, 85, 63, 90, 69, 96, 75, 102, 81, 108, 79, 106, 73, 100, 67, 94, 61, 88, 56, 83, 60, 87, 66, 93, 72, 99, 78, 105, 77, 104, 71, 98, 65, 92, 59, 86)
	L = (1, 58)(2, 55)(3, 63)(4, 56)(5, 64)(6, 57)(7, 59)(8, 69)(9, 60)(10, 61)(11, 70)(12, 62)(13, 65)(14, 75)(15, 66)(16, 67)(17, 76)(18, 68)(19, 71)(20, 81)(21, 72)(22, 73)(23, 80)(24, 74)(25, 77)(26, 79)(27, 78)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54 ), ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E9.335
Graph:: bipartite
	v = 10 e = 54 f = 28
	degree seq :: [ 6^9, 54 ]

E9.332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^9 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 28, 2, 29, 4, 31)(3, 30, 6, 33, 9, 36)(5, 32, 7, 34, 10, 37)(8, 35, 12, 39, 15, 42)(11, 38, 13, 40, 16, 43)(14, 41, 18, 45, 21, 48)(17, 44, 19, 46, 22, 49)(20, 47, 24, 51, 26, 53)(23, 50, 25, 52, 27, 54)(55, 82, 57, 84, 62, 89, 68, 95, 74, 101, 79, 106, 73, 100, 67, 94, 61, 88, 56, 83, 60, 87, 66, 93, 72, 99, 78, 105, 81, 108, 76, 103, 70, 97, 64, 91, 58, 85, 63, 90, 69, 96, 75, 102, 80, 107, 77, 104, 71, 98, 65, 92, 59, 86)
	L = (1, 58)(2, 55)(3, 63)(4, 56)(5, 64)(6, 57)(7, 59)(8, 69)(9, 60)(10, 61)(11, 70)(12, 62)(13, 65)(14, 75)(15, 66)(16, 67)(17, 76)(18, 68)(19, 71)(20, 80)(21, 72)(22, 73)(23, 81)(24, 74)(25, 77)(26, 78)(27, 79)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54 ), ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E9.336
Graph:: bipartite
	v = 10 e = 54 f = 28
	degree seq :: [ 6^9, 54 ]

E9.333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y1, Y2^-1), Y1^3 * Y2^3, (Y3^-1 * Y1^-1)^3, Y1^4 * Y2^-5, Y2^2 * Y1^20, Y1^-27, Y1^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 27, 54, 20, 47, 9, 36, 17, 44, 12, 39, 5, 32, 8, 35, 16, 43, 23, 50, 25, 52, 21, 48, 10, 37, 3, 30, 7, 34, 15, 42, 13, 40, 18, 45, 24, 51, 26, 53, 19, 46, 11, 38, 4, 31)(55, 82, 57, 84, 63, 90, 73, 100, 79, 106, 76, 103, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 65, 92, 75, 102, 81, 108, 78, 105, 70, 97, 60, 87, 69, 96, 66, 93, 58, 85, 64, 91, 74, 101, 80, 107, 77, 104, 68, 95, 67, 94, 59, 86)
	L = (1, 57)(2, 61)(3, 63)(4, 64)(5, 55)(6, 69)(7, 71)(8, 56)(9, 73)(10, 74)(11, 75)(12, 58)(13, 59)(14, 67)(15, 66)(16, 60)(17, 65)(18, 62)(19, 79)(20, 80)(21, 81)(22, 72)(23, 68)(24, 70)(25, 76)(26, 77)(27, 78)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E9.334
Graph:: bipartite
	v = 2 e = 54 f = 36
	degree seq :: [ 54^2 ]

E9.334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y3^9, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2, (Y3^-1 * Y1^-1)^27 ]
Map::
	R = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)(55, 82, 56, 83, 58, 85)(57, 84, 60, 87, 63, 90)(59, 86, 61, 88, 64, 91)(62, 89, 66, 93, 69, 96)(65, 92, 67, 94, 70, 97)(68, 95, 72, 99, 75, 102)(71, 98, 73, 100, 76, 103)(74, 101, 78, 105, 80, 107)(77, 104, 79, 106, 81, 108)
	L = (1, 57)(2, 60)(3, 62)(4, 63)(5, 55)(6, 66)(7, 56)(8, 68)(9, 69)(10, 58)(11, 59)(12, 72)(13, 61)(14, 74)(15, 75)(16, 64)(17, 65)(18, 78)(19, 67)(20, 79)(21, 80)(22, 70)(23, 71)(24, 81)(25, 73)(26, 77)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54, 54 ), ( 54^6 ) }
Outer automorphisms :: reflexible
Dual of E9.333
Graph:: simple bipartite
	v = 36 e = 54 f = 2
	degree seq :: [ 2^27, 6^9 ]

E9.335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|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^-9, (Y1^-1 * Y3^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 12, 39, 18, 45, 24, 51, 21, 48, 15, 42, 9, 36, 3, 30, 7, 34, 13, 40, 19, 46, 25, 52, 27, 54, 23, 50, 17, 44, 11, 38, 5, 32, 8, 35, 14, 41, 20, 47, 26, 53, 22, 49, 16, 43, 10, 37, 4, 31)(55, 82)(56, 83)(57, 84)(58, 85)(59, 86)(60, 87)(61, 88)(62, 89)(63, 90)(64, 91)(65, 92)(66, 93)(67, 94)(68, 95)(69, 96)(70, 97)(71, 98)(72, 99)(73, 100)(74, 101)(75, 102)(76, 103)(77, 104)(78, 105)(79, 106)(80, 107)(81, 108)
	L = (1, 57)(2, 61)(3, 59)(4, 63)(5, 55)(6, 67)(7, 62)(8, 56)(9, 65)(10, 69)(11, 58)(12, 73)(13, 68)(14, 60)(15, 71)(16, 75)(17, 64)(18, 79)(19, 74)(20, 66)(21, 77)(22, 78)(23, 70)(24, 81)(25, 80)(26, 72)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E9.331
Graph:: bipartite
	v = 28 e = 54 f = 10
	degree seq :: [ 2^27, 54 ]

E9.336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^-9, (Y1^-1 * Y3^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 12, 39, 18, 45, 24, 51, 23, 50, 17, 44, 11, 38, 5, 32, 8, 35, 14, 41, 20, 47, 26, 53, 27, 54, 21, 48, 15, 42, 9, 36, 3, 30, 7, 34, 13, 40, 19, 46, 25, 52, 22, 49, 16, 43, 10, 37, 4, 31)(55, 82)(56, 83)(57, 84)(58, 85)(59, 86)(60, 87)(61, 88)(62, 89)(63, 90)(64, 91)(65, 92)(66, 93)(67, 94)(68, 95)(69, 96)(70, 97)(71, 98)(72, 99)(73, 100)(74, 101)(75, 102)(76, 103)(77, 104)(78, 105)(79, 106)(80, 107)(81, 108)
	L = (1, 57)(2, 61)(3, 59)(4, 63)(5, 55)(6, 67)(7, 62)(8, 56)(9, 65)(10, 69)(11, 58)(12, 73)(13, 68)(14, 60)(15, 71)(16, 75)(17, 64)(18, 79)(19, 74)(20, 66)(21, 77)(22, 81)(23, 70)(24, 76)(25, 80)(26, 72)(27, 78)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E9.332
Graph:: bipartite
	v = 28 e = 54 f = 10
	degree seq :: [ 2^27, 54 ]

E9.337 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 7, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 20, 12, 5)(2, 7, 15, 23, 24, 16, 8)(4, 10, 18, 25, 26, 19, 11)(6, 13, 21, 27, 28, 22, 14)(29, 30, 34, 32)(31, 35, 41, 38)(33, 36, 42, 39)(37, 43, 49, 46)(40, 44, 50, 47)(45, 51, 55, 53)(48, 52, 56, 54)
	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 ), ( 56^7 ) }
Outer automorphisms :: reflexible
Dual of E9.341
Transitivity :: ET+
Graph:: simple bipartite
	v = 11 e = 28 f = 1
	degree seq :: [ 4^7, 7^4 ]

E9.338 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 7, 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, (T1^-1, T2), T1^3 * T2^-4, T1^7, (T1^-1 * T2^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 26, 24, 12, 4, 10, 20, 16, 6, 15, 27, 23, 11, 21, 18, 8, 2, 7, 17, 28, 22, 25, 13, 5)(29, 30, 34, 42, 50, 39, 32)(31, 35, 43, 54, 53, 49, 38)(33, 36, 44, 47, 56, 51, 40)(37, 45, 55, 52, 41, 46, 48)
	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) :: { ( 8^7 ), ( 8^28 ) }
Outer automorphisms :: reflexible
Dual of E9.342
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 28 f = 7
	degree seq :: [ 7^4, 28 ]

E9.339 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 7, 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, T2^4, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-7, (T1^-1 * T2^-1)^7 ]
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, 21, 27, 26)(29, 30, 34, 41, 49, 46, 38, 31, 35, 42, 50, 55, 53, 45, 37, 44, 52, 56, 54, 48, 40, 33, 36, 43, 51, 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) :: { ( 14^4 ), ( 14^28 ) }
Outer automorphisms :: reflexible
Dual of E9.340
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 28 f = 4
	degree seq :: [ 4^7, 28 ]

E9.340 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 7, 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 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 17, 45, 20, 48, 12, 40, 5, 33)(2, 30, 7, 35, 15, 43, 23, 51, 24, 52, 16, 44, 8, 36)(4, 32, 10, 38, 18, 46, 25, 53, 26, 54, 19, 47, 11, 39)(6, 34, 13, 41, 21, 49, 27, 55, 28, 56, 22, 50, 14, 42)
	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, 55)(24, 56)(25, 45)(26, 48)(27, 53)(28, 54)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E9.339
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 28 f = 8
	degree seq :: [ 14^4 ]

E9.341 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 7, 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, (T1^-1, T2), T1^3 * T2^-4, T1^7, (T1^-1 * T2^-1)^4 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 19, 47, 14, 42, 26, 54, 24, 52, 12, 40, 4, 32, 10, 38, 20, 48, 16, 44, 6, 34, 15, 43, 27, 55, 23, 51, 11, 39, 21, 49, 18, 46, 8, 36, 2, 30, 7, 35, 17, 45, 28, 56, 22, 50, 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, 50)(15, 54)(16, 47)(17, 55)(18, 48)(19, 56)(20, 37)(21, 38)(22, 39)(23, 40)(24, 41)(25, 49)(26, 53)(27, 52)(28, 51)
	local type(s) :: { ( 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E9.337
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 28 f = 11
	degree seq :: [ 56 ]

E9.342 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 7, 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, T2^4, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-7, (T1^-1 * T2^-1)^7 ]
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, 21, 49, 27, 55, 26, 54)
	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, 46)(22, 55)(23, 47)(24, 56)(25, 45)(26, 48)(27, 53)(28, 54)
	local type(s) :: { ( 7, 28, 7, 28, 7, 28, 7, 28 ) }
Outer automorphisms :: reflexible
Dual of E9.338
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 28 f = 5
	degree seq :: [ 8^7 ]

E9.343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^4, (Y2, Y1^-1), Y2^7, Y3^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 4, 32)(3, 31, 7, 35, 13, 41, 10, 38)(5, 33, 8, 36, 14, 42, 11, 39)(9, 37, 15, 43, 21, 49, 18, 46)(12, 40, 16, 44, 22, 50, 19, 47)(17, 45, 23, 51, 27, 55, 25, 53)(20, 48, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 65, 93, 73, 101, 76, 104, 68, 96, 61, 89)(58, 86, 63, 91, 71, 99, 79, 107, 80, 108, 72, 100, 64, 92)(60, 88, 66, 94, 74, 102, 81, 109, 82, 110, 75, 103, 67, 95)(62, 90, 69, 97, 77, 105, 83, 111, 84, 112, 78, 106, 70, 98)
	L = (1, 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, 81)(18, 77)(19, 78)(20, 82)(21, 71)(22, 72)(23, 73)(24, 76)(25, 83)(26, 84)(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, 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 E9.346
Graph:: bipartite
	v = 11 e = 56 f = 29
	degree seq :: [ 8^7, 14^4 ]

E9.344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-1, Y2), Y1^3 * Y2^-4, Y1^7, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 26, 54, 25, 53, 21, 49, 10, 38)(5, 33, 8, 36, 16, 44, 19, 47, 28, 56, 23, 51, 12, 40)(9, 37, 17, 45, 27, 55, 24, 52, 13, 41, 18, 46, 20, 48)(57, 85, 59, 87, 65, 93, 75, 103, 70, 98, 82, 110, 80, 108, 68, 96, 60, 88, 66, 94, 76, 104, 72, 100, 62, 90, 71, 99, 83, 111, 79, 107, 67, 95, 77, 105, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 84, 112, 78, 106, 81, 109, 69, 97, 61, 89)
	L = (1, 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, 70)(20, 72)(21, 74)(22, 81)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.345
Graph:: bipartite
	v = 5 e = 56 f = 35
	degree seq :: [ 14^4, 56 ]

E9.345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 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 * Y3^2 * 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, 82, 110)(76, 104, 80, 108, 84, 112, 81, 109)
	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, 81)(18, 82)(19, 67)(20, 68)(21, 83)(22, 70)(23, 76)(24, 72)(25, 75)(26, 84)(27, 80)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E9.344
Graph:: simple bipartite
	v = 35 e = 56 f = 5
	degree seq :: [ 2^28, 8^7 ]

E9.346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 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 * Y1^-7, (Y3 * Y2^-1)^4, (Y1^-1 * Y3^-1)^7 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 13, 41, 21, 49, 18, 46, 10, 38, 3, 31, 7, 35, 14, 42, 22, 50, 27, 55, 25, 53, 17, 45, 9, 37, 16, 44, 24, 52, 28, 56, 26, 54, 20, 48, 12, 40, 5, 33, 8, 36, 15, 43, 23, 51, 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, 77)(20, 67)(21, 83)(22, 84)(23, 69)(24, 71)(25, 76)(26, 75)(27, 82)(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, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E9.343
Graph:: bipartite
	v = 29 e = 56 f = 11
	degree seq :: [ 2^28, 56 ]

E9.347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^7 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 4, 32)(3, 31, 7, 35, 13, 41, 10, 38)(5, 33, 8, 36, 14, 42, 11, 39)(9, 37, 15, 43, 21, 49, 18, 46)(12, 40, 16, 44, 22, 50, 19, 47)(17, 45, 23, 51, 27, 55, 25, 53)(20, 48, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 65, 93, 73, 101, 80, 108, 72, 100, 64, 92, 58, 86, 63, 91, 71, 99, 79, 107, 84, 112, 78, 106, 70, 98, 62, 90, 69, 97, 77, 105, 83, 111, 82, 110, 75, 103, 67, 95, 60, 88, 66, 94, 74, 102, 81, 109, 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, 81)(18, 77)(19, 78)(20, 82)(21, 71)(22, 72)(23, 73)(24, 76)(25, 83)(26, 84)(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, 14, 2, 14, 2, 14, 2, 14 ), ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E9.348
Graph:: bipartite
	v = 8 e = 56 f = 32
	degree seq :: [ 8^7, 56 ]

E9.348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 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^-4 * Y1^3, Y1^7, (Y1^-1 * Y3^-1)^4, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 26, 54, 25, 53, 21, 49, 10, 38)(5, 33, 8, 36, 16, 44, 19, 47, 28, 56, 23, 51, 12, 40)(9, 37, 17, 45, 27, 55, 24, 52, 13, 41, 18, 46, 20, 48)(57, 85)(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, 70)(20, 72)(21, 74)(22, 81)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.347
Graph:: simple bipartite
	v = 32 e = 56 f = 8
	degree seq :: [ 2^28, 14^4 ]

E9.349 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 10, 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 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 23, 17, 11, 5)(2, 6, 12, 18, 24, 29, 25, 19, 13, 7)(4, 9, 15, 21, 27, 30, 28, 22, 16, 10)(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, 59, 60)
	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 ), ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E9.353
Transitivity :: ET+
Graph:: simple bipartite
	v = 13 e = 30 f = 1
	degree seq :: [ 3^10, 10^3 ]

E9.350 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 10, 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^-3 * T2^-3, T2^-3 * T1^-3, T1^-1 * T2^9, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 30, 23, 14, 13, 5)(31, 32, 36, 44, 52, 58, 56, 49, 41, 34)(33, 37, 45, 43, 48, 54, 60, 55, 51, 40)(35, 38, 46, 53, 59, 57, 50, 39, 47, 42)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 6^10 ), ( 6^30 ) }
Outer automorphisms :: reflexible
Dual of E9.354
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 30 f = 10
	degree seq :: [ 10^3, 30 ]

E9.351 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 10, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^10, (T1^-1 * T2^-1)^10 ]
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, 28, 30)(31, 32, 36, 42, 48, 54, 59, 53, 47, 41, 35, 38, 44, 50, 56, 60, 57, 51, 45, 39, 33, 37, 43, 49, 55, 58, 52, 46, 40, 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) :: { ( 20^3 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E9.352
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 30 f = 3
	degree seq :: [ 3^10, 30 ]

E9.352 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 10, 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 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 8, 38, 14, 44, 20, 50, 26, 56, 23, 53, 17, 47, 11, 41, 5, 35)(2, 32, 6, 36, 12, 42, 18, 48, 24, 54, 29, 59, 25, 55, 19, 49, 13, 43, 7, 37)(4, 34, 9, 39, 15, 45, 21, 51, 27, 57, 30, 60, 28, 58, 22, 52, 16, 46, 10, 40)
	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, 59)(27, 50)(28, 53)(29, 60)(30, 56)
	local type(s) :: { ( 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 E9.351
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 30 f = 11
	degree seq :: [ 20^3 ]

E9.353 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 10, 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^-3 * T2^-3, T2^-3 * T1^-3, T1^-1 * T2^9, T1^10 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 19, 49, 25, 55, 29, 59, 22, 52, 18, 48, 8, 38, 2, 32, 7, 37, 17, 47, 11, 41, 21, 51, 27, 57, 28, 58, 24, 54, 16, 46, 6, 36, 15, 45, 12, 42, 4, 34, 10, 40, 20, 50, 26, 56, 30, 60, 23, 53, 14, 44, 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, 52)(15, 43)(16, 53)(17, 42)(18, 54)(19, 41)(20, 39)(21, 40)(22, 58)(23, 59)(24, 60)(25, 51)(26, 49)(27, 50)(28, 56)(29, 57)(30, 55)
	local type(s) :: { ( 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.349
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 30 f = 13
	degree seq :: [ 60 ]

E9.354 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 10, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^10, (T1^-1 * T2^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 5, 35)(2, 32, 7, 37, 8, 38)(4, 34, 9, 39, 11, 41)(6, 36, 13, 43, 14, 44)(10, 40, 15, 45, 17, 47)(12, 42, 19, 49, 20, 50)(16, 46, 21, 51, 23, 53)(18, 48, 25, 55, 26, 56)(22, 52, 27, 57, 29, 59)(24, 54, 28, 58, 30, 60)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 42)(7, 43)(8, 44)(9, 33)(10, 34)(11, 35)(12, 48)(13, 49)(14, 50)(15, 39)(16, 40)(17, 41)(18, 54)(19, 55)(20, 56)(21, 45)(22, 46)(23, 47)(24, 59)(25, 58)(26, 60)(27, 51)(28, 52)(29, 53)(30, 57)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E9.350
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 30 f = 4
	degree seq :: [ 6^10 ]

E9.355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^10, Y3^30 ]
Map::
	R = (1, 31, 2, 32, 4, 34)(3, 33, 6, 36, 9, 39)(5, 35, 7, 37, 10, 40)(8, 38, 12, 42, 15, 45)(11, 41, 13, 43, 16, 46)(14, 44, 18, 48, 21, 51)(17, 47, 19, 49, 22, 52)(20, 50, 24, 54, 27, 57)(23, 53, 25, 55, 28, 58)(26, 56, 29, 59, 30, 60)(61, 91, 63, 93, 68, 98, 74, 104, 80, 110, 86, 116, 83, 113, 77, 107, 71, 101, 65, 95)(62, 92, 66, 96, 72, 102, 78, 108, 84, 114, 89, 119, 85, 115, 79, 109, 73, 103, 67, 97)(64, 94, 69, 99, 75, 105, 81, 111, 87, 117, 90, 120, 88, 118, 82, 112, 76, 106, 70, 100)
	L = (1, 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, 90)(27, 84)(28, 85)(29, 86)(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, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E9.358
Graph:: bipartite
	v = 13 e = 60 f = 31
	degree seq :: [ 6^10, 20^3 ]

E9.356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^3, Y1^-4 * Y2^6, Y1^10 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 28, 58, 26, 56, 19, 49, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 13, 43, 18, 48, 24, 54, 30, 60, 25, 55, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 23, 53, 29, 59, 27, 57, 20, 50, 9, 39, 17, 47, 12, 42)(61, 91, 63, 93, 69, 99, 79, 109, 85, 115, 89, 119, 82, 112, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 71, 101, 81, 111, 87, 117, 88, 118, 84, 114, 76, 106, 66, 96, 75, 105, 72, 102, 64, 94, 70, 100, 80, 110, 86, 116, 90, 120, 83, 113, 74, 104, 73, 103, 65, 95)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 79)(10, 80)(11, 81)(12, 64)(13, 65)(14, 73)(15, 72)(16, 66)(17, 71)(18, 68)(19, 85)(20, 86)(21, 87)(22, 78)(23, 74)(24, 76)(25, 89)(26, 90)(27, 88)(28, 84)(29, 82)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E9.357
Graph:: bipartite
	v = 4 e = 60 f = 40
	degree seq :: [ 20^3, 60 ]

E9.357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-10 * Y2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2, (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, 64, 94)(63, 93, 66, 96, 69, 99)(65, 95, 67, 97, 70, 100)(68, 98, 72, 102, 75, 105)(71, 101, 73, 103, 76, 106)(74, 104, 78, 108, 81, 111)(77, 107, 79, 109, 82, 112)(80, 110, 84, 114, 87, 117)(83, 113, 85, 115, 88, 118)(86, 116, 90, 120, 89, 119)
	L = (1, 63)(2, 66)(3, 68)(4, 69)(5, 61)(6, 72)(7, 62)(8, 74)(9, 75)(10, 64)(11, 65)(12, 78)(13, 67)(14, 80)(15, 81)(16, 70)(17, 71)(18, 84)(19, 73)(20, 86)(21, 87)(22, 76)(23, 77)(24, 90)(25, 79)(26, 85)(27, 89)(28, 82)(29, 83)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60 ), ( 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E9.356
Graph:: simple bipartite
	v = 40 e = 60 f = 4
	degree seq :: [ 2^30, 6^10 ]

E9.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 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 * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^10, (Y1^-1 * Y3^-1)^10 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 12, 42, 18, 48, 24, 54, 29, 59, 23, 53, 17, 47, 11, 41, 5, 35, 8, 38, 14, 44, 20, 50, 26, 56, 30, 60, 27, 57, 21, 51, 15, 45, 9, 39, 3, 33, 7, 37, 13, 43, 19, 49, 25, 55, 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, 88)(25, 86)(26, 78)(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) :: { ( 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.355
Graph:: bipartite
	v = 31 e = 60 f = 13
	degree seq :: [ 2^30, 60 ]

E9.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^3, Y1^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3^-1 * 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 ]
Map::
	R = (1, 31, 2, 32, 4, 34)(3, 33, 6, 36, 9, 39)(5, 35, 7, 37, 10, 40)(8, 38, 12, 42, 15, 45)(11, 41, 13, 43, 16, 46)(14, 44, 18, 48, 21, 51)(17, 47, 19, 49, 22, 52)(20, 50, 24, 54, 27, 57)(23, 53, 25, 55, 28, 58)(26, 56, 29, 59, 30, 60)(61, 91, 63, 93, 68, 98, 74, 104, 80, 110, 86, 116, 88, 118, 82, 112, 76, 106, 70, 100, 64, 94, 69, 99, 75, 105, 81, 111, 87, 117, 90, 120, 85, 115, 79, 109, 73, 103, 67, 97, 62, 92, 66, 96, 72, 102, 78, 108, 84, 114, 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, 90)(27, 84)(28, 85)(29, 86)(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, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.360
Graph:: bipartite
	v = 11 e = 60 f = 33
	degree seq :: [ 6^10, 60 ]

E9.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 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), Y1^-3 * Y3^-3, Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^9, Y1^10, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 28, 58, 26, 56, 19, 49, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 13, 43, 18, 48, 24, 54, 30, 60, 25, 55, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 23, 53, 29, 59, 27, 57, 20, 50, 9, 39, 17, 47, 12, 42)(61, 91)(62, 92)(63, 93)(64, 94)(65, 95)(66, 96)(67, 97)(68, 98)(69, 99)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(75, 105)(76, 106)(77, 107)(78, 108)(79, 109)(80, 110)(81, 111)(82, 112)(83, 113)(84, 114)(85, 115)(86, 116)(87, 117)(88, 118)(89, 119)(90, 120)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 79)(10, 80)(11, 81)(12, 64)(13, 65)(14, 73)(15, 72)(16, 66)(17, 71)(18, 68)(19, 85)(20, 86)(21, 87)(22, 78)(23, 74)(24, 76)(25, 89)(26, 90)(27, 88)(28, 84)(29, 82)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E9.359
Graph:: simple bipartite
	v = 33 e = 60 f = 11
	degree seq :: [ 2^30, 20^3 ]

E9.361 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y3 * Y1 * Y2 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3, Y1^4, (Y3 * Y2)^2, Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2, Y2 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 37, 5, 33)(3, 41, 9, 51, 19, 43, 11, 35)(4, 39, 7, 48, 16, 44, 12, 36)(8, 46, 14, 58, 26, 50, 18, 40)(10, 52, 20, 59, 27, 54, 22, 42)(13, 57, 25, 60, 28, 47, 15, 45)(17, 61, 29, 55, 23, 63, 31, 49)(21, 62, 30, 56, 24, 64, 32, 53)
	L = (1, 3)(2, 7)(4, 10)(5, 13)(6, 14)(8, 17)(9, 20)(11, 23)(12, 24)(15, 27)(16, 29)(18, 32)(19, 30)(21, 28)(22, 26)(25, 31)(33, 36)(34, 40)(35, 42)(37, 43)(38, 47)(39, 49)(41, 53)(44, 54)(45, 55)(46, 59)(48, 62)(50, 63)(51, 61)(52, 60)(56, 58)(57, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.362 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y3 * Y1^-1 * Y2 * Y1, (R * Y1)^2, R * Y2 * R * Y3, Y1^4, (Y3 * Y2)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-2, Y1^-1 * Y2 * Y3 * Y1^-2 * Y3 * Y2 * Y1^-1 ]
Map::
	R = (1, 34, 2, 38, 6, 37, 5, 33)(3, 40, 8, 50, 18, 42, 10, 35)(4, 43, 11, 54, 22, 44, 12, 36)(7, 47, 15, 60, 28, 49, 17, 39)(9, 51, 19, 58, 26, 52, 20, 41)(13, 57, 25, 59, 27, 46, 14, 45)(16, 61, 29, 56, 24, 62, 30, 48)(21, 63, 31, 55, 23, 64, 32, 53)
	L = (1, 3)(2, 7)(4, 9)(5, 12)(6, 14)(8, 16)(10, 20)(11, 23)(13, 24)(15, 26)(17, 30)(18, 32)(19, 27)(21, 28)(22, 29)(25, 31)(33, 36)(34, 40)(35, 41)(37, 45)(38, 47)(39, 48)(42, 53)(43, 51)(44, 56)(46, 58)(49, 63)(50, 61)(52, 60)(54, 64)(55, 59)(57, 62)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.363 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y1 * Y3^-1 * Y2, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, (Y2 * Y1)^2, Y3^2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1, (Y3^-2 * Y2 * Y1)^2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 33, 4, 36, 12, 44, 5, 37)(2, 34, 7, 39, 17, 49, 8, 40)(3, 35, 9, 41, 20, 52, 10, 42)(6, 38, 14, 46, 27, 59, 15, 47)(11, 43, 22, 54, 28, 60, 23, 55)(13, 45, 25, 57, 26, 58, 24, 56)(16, 48, 29, 61, 21, 53, 30, 62)(18, 50, 32, 64, 19, 51, 31, 63)(65, 66)(67, 70)(68, 73)(69, 77)(71, 78)(72, 82)(74, 85)(75, 83)(76, 86)(79, 92)(80, 90)(81, 93)(84, 95)(87, 94)(88, 91)(89, 96)(97, 99)(98, 102)(100, 107)(101, 104)(103, 112)(105, 115)(106, 111)(108, 120)(109, 114)(110, 122)(113, 127)(116, 125)(117, 124)(118, 123)(119, 128)(121, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.367
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.364 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3 * Y2, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y2)^2, Y3^4, Y1 * Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y2, Y3^2 * Y2 * Y1 * Y3^-2 * Y2 * Y1 ]
Map::
	R = (1, 33, 4, 36, 12, 44, 5, 37)(2, 34, 7, 39, 17, 49, 8, 40)(3, 35, 9, 41, 20, 52, 10, 42)(6, 38, 14, 46, 27, 59, 15, 47)(11, 43, 22, 54, 28, 60, 23, 55)(13, 45, 25, 57, 26, 58, 24, 56)(16, 48, 29, 61, 21, 53, 30, 62)(18, 50, 32, 64, 19, 51, 31, 63)(65, 66)(67, 70)(68, 75)(69, 74)(71, 80)(72, 79)(73, 83)(76, 88)(77, 85)(78, 90)(81, 95)(82, 92)(84, 93)(86, 91)(87, 94)(89, 96)(97, 99)(98, 102)(100, 103)(101, 109)(104, 114)(105, 110)(106, 117)(107, 112)(108, 118)(111, 124)(113, 125)(115, 122)(116, 127)(119, 128)(120, 123)(121, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.368
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.365 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^4, Y2^4, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 6, 38)(3, 35, 7, 39)(5, 37, 10, 42)(8, 40, 16, 48)(9, 41, 17, 49)(11, 43, 21, 53)(12, 44, 22, 54)(13, 45, 24, 56)(14, 46, 25, 57)(15, 47, 26, 58)(18, 50, 28, 60)(19, 51, 29, 61)(20, 52, 30, 62)(23, 55, 31, 63)(27, 59, 32, 64)(65, 66, 69, 67)(68, 72, 79, 73)(70, 75, 84, 76)(71, 77, 87, 78)(74, 82, 91, 83)(80, 89, 92, 86)(81, 88, 93, 85)(90, 94, 96, 95)(97, 99, 101, 98)(100, 105, 111, 104)(102, 108, 116, 107)(103, 110, 119, 109)(106, 115, 123, 114)(112, 118, 124, 121)(113, 117, 125, 120)(122, 127, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.369
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.366 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^4, Y1^4, Y1 * Y2^-2 * Y1, Y2^-1 * Y1^-2 * Y2^-1, R * Y1 * R * Y2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 69)(67, 72, 70, 74)(68, 76, 88, 78)(73, 84, 75, 86)(77, 83, 79, 82)(80, 85, 81, 87)(89, 96, 90, 95)(91, 94, 92, 93)(97, 99, 103, 102)(98, 104, 101, 106)(100, 109, 120, 111)(105, 117, 107, 119)(108, 115, 110, 114)(112, 116, 113, 118)(121, 126, 122, 125)(123, 128, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.370
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.367 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y1 * Y3^-1 * Y2, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, (Y2 * Y1)^2, Y3^2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1, (Y3^-2 * Y2 * Y1)^2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 12, 44, 76, 108, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 17, 49, 81, 113, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 20, 52, 84, 116, 10, 42, 74, 106)(6, 38, 70, 102, 14, 46, 78, 110, 27, 59, 91, 123, 15, 47, 79, 111)(11, 43, 75, 107, 22, 54, 86, 118, 28, 60, 92, 124, 23, 55, 87, 119)(13, 45, 77, 109, 25, 57, 89, 121, 26, 58, 90, 122, 24, 56, 88, 120)(16, 48, 80, 112, 29, 61, 93, 125, 21, 53, 85, 117, 30, 62, 94, 126)(18, 50, 82, 114, 32, 64, 96, 128, 19, 51, 83, 115, 31, 63, 95, 127)
	L = (1, 34)(2, 33)(3, 38)(4, 41)(5, 45)(6, 35)(7, 46)(8, 50)(9, 36)(10, 53)(11, 51)(12, 54)(13, 37)(14, 39)(15, 60)(16, 58)(17, 61)(18, 40)(19, 43)(20, 63)(21, 42)(22, 44)(23, 62)(24, 59)(25, 64)(26, 48)(27, 56)(28, 47)(29, 49)(30, 55)(31, 52)(32, 57)(65, 99)(66, 102)(67, 97)(68, 107)(69, 104)(70, 98)(71, 112)(72, 101)(73, 115)(74, 111)(75, 100)(76, 120)(77, 114)(78, 122)(79, 106)(80, 103)(81, 127)(82, 109)(83, 105)(84, 125)(85, 124)(86, 123)(87, 128)(88, 108)(89, 126)(90, 110)(91, 118)(92, 117)(93, 116)(94, 121)(95, 113)(96, 119)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.363
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.368 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3 * Y2, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y2)^2, Y3^4, Y1 * Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y2, Y3^2 * Y2 * Y1 * Y3^-2 * Y2 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 12, 44, 76, 108, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 17, 49, 81, 113, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 20, 52, 84, 116, 10, 42, 74, 106)(6, 38, 70, 102, 14, 46, 78, 110, 27, 59, 91, 123, 15, 47, 79, 111)(11, 43, 75, 107, 22, 54, 86, 118, 28, 60, 92, 124, 23, 55, 87, 119)(13, 45, 77, 109, 25, 57, 89, 121, 26, 58, 90, 122, 24, 56, 88, 120)(16, 48, 80, 112, 29, 61, 93, 125, 21, 53, 85, 117, 30, 62, 94, 126)(18, 50, 82, 114, 32, 64, 96, 128, 19, 51, 83, 115, 31, 63, 95, 127)
	L = (1, 34)(2, 33)(3, 38)(4, 43)(5, 42)(6, 35)(7, 48)(8, 47)(9, 51)(10, 37)(11, 36)(12, 56)(13, 53)(14, 58)(15, 40)(16, 39)(17, 63)(18, 60)(19, 41)(20, 61)(21, 45)(22, 59)(23, 62)(24, 44)(25, 64)(26, 46)(27, 54)(28, 50)(29, 52)(30, 55)(31, 49)(32, 57)(65, 99)(66, 102)(67, 97)(68, 103)(69, 109)(70, 98)(71, 100)(72, 114)(73, 110)(74, 117)(75, 112)(76, 118)(77, 101)(78, 105)(79, 124)(80, 107)(81, 125)(82, 104)(83, 122)(84, 127)(85, 106)(86, 108)(87, 128)(88, 123)(89, 126)(90, 115)(91, 120)(92, 111)(93, 113)(94, 121)(95, 116)(96, 119)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.364
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.369 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^4, Y2^4, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 6, 38, 70, 102)(3, 35, 67, 99, 7, 39, 71, 103)(5, 37, 69, 101, 10, 42, 74, 106)(8, 40, 72, 104, 16, 48, 80, 112)(9, 41, 73, 105, 17, 49, 81, 113)(11, 43, 75, 107, 21, 53, 85, 117)(12, 44, 76, 108, 22, 54, 86, 118)(13, 45, 77, 109, 24, 56, 88, 120)(14, 46, 78, 110, 25, 57, 89, 121)(15, 47, 79, 111, 26, 58, 90, 122)(18, 50, 82, 114, 28, 60, 92, 124)(19, 51, 83, 115, 29, 61, 93, 125)(20, 52, 84, 116, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127)(27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 33)(4, 40)(5, 35)(6, 43)(7, 45)(8, 47)(9, 36)(10, 50)(11, 52)(12, 38)(13, 55)(14, 39)(15, 41)(16, 57)(17, 56)(18, 59)(19, 42)(20, 44)(21, 49)(22, 48)(23, 46)(24, 61)(25, 60)(26, 62)(27, 51)(28, 54)(29, 53)(30, 64)(31, 58)(32, 63)(65, 99)(66, 97)(67, 101)(68, 105)(69, 98)(70, 108)(71, 110)(72, 100)(73, 111)(74, 115)(75, 102)(76, 116)(77, 103)(78, 119)(79, 104)(80, 118)(81, 117)(82, 106)(83, 123)(84, 107)(85, 125)(86, 124)(87, 109)(88, 113)(89, 112)(90, 127)(91, 114)(92, 121)(93, 120)(94, 122)(95, 128)(96, 126)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.365
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.370 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^4, Y1^4, Y1 * Y2^-2 * Y1, Y2^-1 * Y1^-2 * Y2^-1, R * Y1 * R * Y2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 37)(8, 38)(9, 52)(10, 35)(11, 54)(12, 56)(13, 51)(14, 36)(15, 50)(16, 53)(17, 55)(18, 45)(19, 47)(20, 43)(21, 49)(22, 41)(23, 48)(24, 46)(25, 64)(26, 63)(27, 62)(28, 61)(29, 59)(30, 60)(31, 57)(32, 58)(65, 99)(66, 104)(67, 103)(68, 109)(69, 106)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 119)(76, 115)(77, 120)(78, 114)(79, 100)(80, 116)(81, 118)(82, 108)(83, 110)(84, 113)(85, 107)(86, 112)(87, 105)(88, 111)(89, 126)(90, 125)(91, 128)(92, 127)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.366
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2 * R)^2, (Y3^-1 * Y1)^4, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 10, 42)(5, 37, 11, 43)(6, 38, 12, 44)(7, 39, 13, 45)(8, 40, 14, 46)(15, 47, 24, 56)(16, 48, 27, 59)(17, 49, 30, 62)(18, 50, 25, 57)(19, 51, 32, 64)(20, 52, 29, 61)(21, 53, 26, 58)(22, 54, 31, 63)(23, 55, 28, 60)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 69, 101)(71, 103, 72, 104)(73, 105, 79, 111)(74, 106, 82, 114)(75, 107, 85, 117)(76, 108, 88, 120)(77, 109, 91, 123)(78, 110, 94, 126)(80, 112, 81, 113)(83, 115, 84, 116)(86, 118, 87, 119)(89, 121, 90, 122)(92, 124, 93, 125)(95, 127, 96, 128)
	L = (1, 68)(2, 71)(3, 69)(4, 67)(5, 65)(6, 72)(7, 70)(8, 66)(9, 80)(10, 83)(11, 86)(12, 89)(13, 92)(14, 95)(15, 81)(16, 79)(17, 73)(18, 84)(19, 82)(20, 74)(21, 87)(22, 85)(23, 75)(24, 90)(25, 88)(26, 76)(27, 93)(28, 91)(29, 77)(30, 96)(31, 94)(32, 78)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.381
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^4, Y1 * Y2 * Y1 * Y3^2, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 14, 46)(6, 38, 13, 45)(7, 39, 17, 49)(8, 40, 18, 50)(10, 42, 20, 52)(11, 43, 22, 54)(15, 47, 27, 59)(16, 48, 28, 60)(19, 51, 21, 53)(23, 55, 32, 64)(24, 56, 30, 62)(25, 57, 31, 63)(26, 58, 29, 61)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 74, 106)(69, 101, 75, 107)(71, 103, 79, 111)(72, 104, 80, 112)(73, 105, 83, 115)(76, 108, 78, 110)(77, 109, 85, 117)(81, 113, 82, 114)(84, 116, 86, 118)(87, 119, 89, 121)(88, 120, 90, 122)(91, 123, 92, 124)(93, 125, 95, 127)(94, 126, 96, 128)
	L = (1, 68)(2, 71)(3, 74)(4, 77)(5, 65)(6, 79)(7, 73)(8, 66)(9, 72)(10, 85)(11, 67)(12, 87)(13, 69)(14, 89)(15, 83)(16, 70)(17, 93)(18, 95)(19, 80)(20, 88)(21, 75)(22, 90)(23, 84)(24, 76)(25, 86)(26, 78)(27, 94)(28, 96)(29, 91)(30, 81)(31, 92)(32, 82)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.382
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 10, 42)(6, 38, 12, 44)(8, 40, 15, 47)(11, 43, 20, 52)(13, 45, 22, 54)(14, 46, 19, 51)(16, 48, 21, 53)(17, 49, 18, 50)(23, 55, 28, 60)(24, 56, 27, 59)(25, 57, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 72, 104, 68, 100)(66, 98, 69, 101, 75, 107, 70, 102)(71, 103, 77, 109, 87, 119, 78, 110)(73, 105, 80, 112, 90, 122, 81, 113)(74, 106, 82, 114, 91, 123, 83, 115)(76, 108, 85, 117, 94, 126, 86, 118)(79, 111, 88, 120, 95, 127, 89, 121)(84, 116, 92, 124, 96, 128, 93, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y3, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 14, 46)(8, 40, 18, 50)(10, 42, 22, 54)(11, 43, 20, 52)(12, 44, 24, 56)(15, 47, 23, 55)(16, 48, 28, 60)(17, 49, 30, 62)(19, 51, 32, 64)(21, 53, 29, 61)(25, 57, 31, 63)(26, 58, 27, 59)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 79, 111, 72, 104)(68, 100, 75, 107, 87, 119, 76, 108)(71, 103, 80, 112, 86, 118, 81, 113)(73, 105, 83, 115, 88, 120, 85, 117)(77, 109, 89, 121, 84, 116, 90, 122)(78, 110, 91, 123, 94, 126, 93, 125)(82, 114, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 80)(7, 66)(8, 81)(9, 84)(10, 87)(11, 67)(12, 69)(13, 88)(14, 92)(15, 86)(16, 70)(17, 72)(18, 94)(19, 90)(20, 73)(21, 89)(22, 79)(23, 74)(24, 77)(25, 85)(26, 83)(27, 96)(28, 78)(29, 95)(30, 82)(31, 93)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (Y3 * Y1)^2, Y2^4, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-2 * Y1 * Y3 * Y2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 14, 46)(10, 42, 15, 47)(11, 43, 16, 48)(12, 44, 17, 49)(13, 45, 18, 50)(19, 51, 22, 54)(20, 52, 26, 58)(21, 53, 25, 57)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 70, 102, 78, 110, 72, 104)(68, 100, 75, 107, 86, 118, 76, 108)(71, 103, 80, 112, 83, 115, 81, 113)(74, 106, 84, 116, 82, 114, 85, 117)(77, 109, 89, 121, 79, 111, 90, 122)(87, 119, 95, 127, 92, 124, 94, 126)(88, 120, 96, 128, 91, 123, 93, 125)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 79)(7, 66)(8, 82)(9, 83)(10, 67)(11, 87)(12, 88)(13, 69)(14, 86)(15, 70)(16, 91)(17, 92)(18, 72)(19, 73)(20, 93)(21, 94)(22, 78)(23, 75)(24, 76)(25, 96)(26, 95)(27, 80)(28, 81)(29, 84)(30, 85)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.376
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3)^2, Y3 * Y2^-2 * Y1 * Y2^-2, Y1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, (Y2^-1 * Y3 * Y2^-1 * Y1)^2, (Y2 * Y3 * Y2^-1 * Y3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 14, 46)(6, 38, 16, 48)(8, 40, 21, 53)(10, 42, 25, 57)(11, 43, 19, 51)(12, 44, 18, 50)(13, 45, 22, 54)(15, 47, 20, 52)(17, 49, 30, 62)(23, 55, 31, 63)(24, 56, 29, 61)(26, 58, 28, 60)(27, 59, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 81, 113, 72, 104)(68, 100, 76, 108, 89, 121, 77, 109)(71, 103, 83, 115, 94, 126, 84, 116)(73, 105, 87, 119, 79, 111, 88, 120)(75, 107, 90, 122, 78, 110, 91, 123)(80, 112, 92, 124, 86, 118, 93, 125)(82, 114, 95, 127, 85, 117, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 79)(6, 82)(7, 66)(8, 86)(9, 83)(10, 81)(11, 67)(12, 80)(13, 85)(14, 84)(15, 69)(16, 76)(17, 74)(18, 70)(19, 73)(20, 78)(21, 77)(22, 72)(23, 92)(24, 96)(25, 94)(26, 95)(27, 93)(28, 87)(29, 91)(30, 89)(31, 90)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.375
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, Y3^4, Y3 * Y2 * Y3^-1 * Y2 * Y1, Y3^-1 * Y2 * Y3 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 18, 50)(6, 38, 8, 40)(7, 39, 23, 55)(9, 41, 26, 58)(12, 44, 24, 56)(13, 45, 22, 54)(14, 46, 17, 49)(15, 47, 19, 51)(16, 48, 25, 57)(20, 52, 21, 53)(27, 59, 32, 64)(28, 60, 31, 63)(29, 61, 30, 62)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 88, 120, 73, 105)(68, 100, 79, 111, 93, 125, 81, 113)(70, 102, 85, 117, 92, 124, 86, 118)(72, 104, 83, 115, 95, 127, 78, 110)(74, 106, 84, 116, 94, 126, 77, 109)(75, 107, 91, 123, 82, 114, 89, 121)(80, 112, 87, 119, 96, 128, 90, 122)
	L = (1, 68)(2, 72)(3, 77)(4, 80)(5, 83)(6, 65)(7, 86)(8, 89)(9, 79)(10, 66)(11, 81)(12, 92)(13, 87)(14, 67)(15, 82)(16, 70)(17, 71)(18, 85)(19, 90)(20, 69)(21, 73)(22, 75)(23, 78)(24, 94)(25, 74)(26, 84)(27, 95)(28, 96)(29, 76)(30, 91)(31, 88)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.379
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^4, Y1 * Y2 * R * Y2^-1 * R, Y3 * Y2 * Y3 * Y2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, (Y2^-2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 18, 50)(6, 38, 8, 40)(7, 39, 23, 55)(9, 41, 26, 58)(12, 44, 24, 56)(13, 45, 17, 49)(14, 46, 22, 54)(15, 47, 20, 52)(16, 48, 25, 57)(19, 51, 21, 53)(27, 59, 32, 64)(28, 60, 30, 62)(29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 88, 120, 73, 105)(68, 100, 79, 111, 93, 125, 81, 113)(70, 102, 85, 117, 92, 124, 86, 118)(72, 104, 84, 116, 94, 126, 77, 109)(74, 106, 83, 115, 95, 127, 78, 110)(75, 107, 91, 123, 82, 114, 89, 121)(80, 112, 87, 119, 96, 128, 90, 122)
	L = (1, 68)(2, 72)(3, 77)(4, 80)(5, 83)(6, 65)(7, 81)(8, 89)(9, 85)(10, 66)(11, 86)(12, 92)(13, 87)(14, 67)(15, 73)(16, 70)(17, 75)(18, 79)(19, 90)(20, 69)(21, 82)(22, 71)(23, 78)(24, 95)(25, 74)(26, 84)(27, 94)(28, 96)(29, 76)(30, 88)(31, 91)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.380
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, Y1 * Y2^2 * Y3^-1, (R * Y3)^2, Y3^4, (R * Y1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 13, 45)(6, 38, 8, 40)(7, 39, 18, 50)(9, 41, 20, 52)(12, 44, 23, 55)(14, 46, 21, 53)(15, 47, 24, 56)(16, 48, 19, 51)(17, 49, 22, 54)(25, 57, 32, 64)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 29, 61)(65, 97, 67, 99, 72, 104, 69, 101)(66, 98, 71, 103, 68, 100, 73, 105)(70, 102, 80, 112, 85, 117, 81, 113)(74, 106, 87, 119, 78, 110, 88, 120)(75, 107, 89, 121, 76, 108, 90, 122)(77, 109, 91, 123, 79, 111, 92, 124)(82, 114, 93, 125, 83, 115, 94, 126)(84, 116, 95, 127, 86, 118, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 83)(8, 85)(9, 86)(10, 66)(11, 69)(12, 88)(13, 67)(14, 70)(15, 87)(16, 82)(17, 84)(18, 73)(19, 81)(20, 71)(21, 74)(22, 80)(23, 75)(24, 77)(25, 95)(26, 93)(27, 96)(28, 94)(29, 91)(30, 89)(31, 92)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.377
Graph:: bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^-2 * Y3 * Y1, Y2^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y2^-1 * Y3 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 12, 44)(6, 38, 8, 40)(7, 39, 18, 50)(9, 41, 19, 51)(13, 45, 21, 53)(14, 46, 20, 52)(15, 47, 22, 54)(16, 48, 24, 56)(17, 49, 23, 55)(25, 57, 32, 64)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 29, 61)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 71, 103, 70, 102, 73, 105)(68, 100, 78, 110, 86, 118, 80, 112)(72, 104, 85, 117, 79, 111, 87, 119)(75, 107, 89, 121, 77, 109, 90, 122)(76, 108, 91, 123, 81, 113, 92, 124)(82, 114, 93, 125, 84, 116, 94, 126)(83, 115, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 75)(6, 65)(7, 83)(8, 86)(9, 82)(10, 66)(11, 85)(12, 87)(13, 67)(14, 88)(15, 70)(16, 84)(17, 69)(18, 78)(19, 80)(20, 71)(21, 81)(22, 74)(23, 77)(24, 73)(25, 94)(26, 96)(27, 93)(28, 95)(29, 90)(30, 92)(31, 89)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.378
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (Y3^-1 * Y2)^2, R * Y2 * R * Y3^-1, Y3^2 * Y2^-2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y3^-1, Y1^4, Y2 * Y1 * Y2 * Y3^-1 * Y1^-2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 5, 37)(3, 35, 9, 41, 18, 50, 8, 40)(4, 36, 11, 43, 22, 54, 12, 44)(7, 39, 16, 48, 28, 60, 15, 47)(10, 42, 21, 53, 27, 59, 20, 52)(13, 45, 14, 46, 26, 58, 25, 57)(17, 49, 31, 63, 23, 55, 30, 62)(19, 51, 29, 61, 24, 56, 32, 64)(65, 97, 67, 99, 74, 106, 68, 100)(66, 98, 71, 103, 81, 113, 72, 104)(69, 101, 75, 107, 87, 119, 77, 109)(70, 102, 78, 110, 91, 123, 79, 111)(73, 105, 83, 115, 92, 124, 84, 116)(76, 108, 85, 117, 90, 122, 88, 120)(80, 112, 93, 125, 89, 121, 94, 126)(82, 114, 95, 127, 86, 118, 96, 128)
	L = (1, 68)(2, 72)(3, 65)(4, 74)(5, 77)(6, 79)(7, 66)(8, 81)(9, 84)(10, 67)(11, 69)(12, 88)(13, 87)(14, 70)(15, 91)(16, 94)(17, 71)(18, 96)(19, 73)(20, 92)(21, 76)(22, 95)(23, 75)(24, 90)(25, 93)(26, 85)(27, 78)(28, 83)(29, 80)(30, 89)(31, 82)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.371
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3^2 * Y2^2, Y2^4, (Y3, Y2^-1), (R * Y3)^2, Y3^2 * Y2^-2, Y3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, Y1^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 11, 43)(4, 36, 17, 49, 22, 54, 9, 41)(6, 38, 18, 50, 21, 53, 12, 44)(7, 39, 19, 51, 20, 52, 10, 42)(14, 46, 26, 58, 30, 62, 29, 61)(15, 47, 25, 57, 31, 63, 27, 59)(16, 48, 24, 56, 32, 64, 28, 60)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 79, 111, 71, 103, 80, 112)(69, 101, 82, 114, 92, 124, 83, 115)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 89, 121, 76, 108, 90, 122)(77, 109, 91, 123, 81, 113, 93, 125)(85, 117, 95, 127, 87, 119, 96, 128)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 77)(6, 80)(7, 65)(8, 85)(9, 89)(10, 88)(11, 90)(12, 66)(13, 92)(14, 71)(15, 70)(16, 67)(17, 69)(18, 91)(19, 93)(20, 95)(21, 94)(22, 96)(23, 72)(24, 76)(25, 75)(26, 73)(27, 83)(28, 81)(29, 82)(30, 87)(31, 86)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.372
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.383 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, Y1^4, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 34, 2, 37, 5, 36, 4, 33)(3, 39, 7, 42, 10, 40, 8, 35)(6, 43, 11, 41, 9, 44, 12, 38)(13, 49, 17, 46, 14, 50, 18, 45)(15, 51, 19, 48, 16, 52, 20, 47)(21, 57, 25, 54, 22, 58, 26, 53)(23, 59, 27, 56, 24, 60, 28, 55)(29, 63, 31, 62, 30, 64, 32, 61)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 35)(34, 38)(36, 41)(37, 42)(39, 45)(40, 46)(43, 47)(44, 48)(49, 53)(50, 54)(51, 55)(52, 56)(57, 61)(58, 62)(59, 63)(60, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.384 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^4, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y2 * Y3 * Y2 * Y1^2, Y3 * Y1^-2 * Y3 * Y1^2, Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y3, Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 37, 5, 33)(3, 41, 9, 49, 17, 43, 11, 35)(4, 44, 12, 50, 18, 46, 14, 36)(7, 51, 19, 47, 15, 53, 21, 39)(8, 54, 22, 48, 16, 56, 24, 40)(10, 55, 23, 45, 13, 52, 20, 42)(25, 63, 31, 59, 27, 61, 29, 57)(26, 62, 30, 60, 28, 64, 32, 58)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 26)(14, 28)(16, 20)(19, 29)(21, 31)(22, 30)(24, 32)(33, 36)(34, 40)(35, 42)(37, 48)(38, 50)(39, 52)(41, 58)(43, 60)(44, 59)(45, 49)(46, 57)(47, 55)(51, 62)(53, 64)(54, 63)(56, 61)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.385 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (Y2 * Y3)^2, (R * Y1)^2, Y1^4, R * Y2 * R * Y3, (Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y3, (Y3 * Y1^-2)^2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 37, 5, 33)(3, 41, 9, 48, 16, 43, 11, 35)(4, 44, 12, 49, 17, 45, 13, 36)(7, 50, 18, 46, 14, 52, 20, 39)(8, 53, 21, 47, 15, 54, 22, 40)(10, 51, 19, 60, 28, 57, 25, 42)(23, 62, 30, 58, 26, 64, 32, 55)(24, 61, 29, 59, 27, 63, 31, 56)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 36)(34, 40)(35, 42)(37, 47)(38, 49)(39, 51)(41, 56)(43, 59)(44, 55)(45, 58)(46, 57)(48, 60)(50, 62)(52, 64)(53, 61)(54, 63)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.386 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^4, (Y3 * Y2)^2, Y3 * Y1^2 * Y2, (R * Y1)^2, R * Y2 * R * Y3, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 37, 5, 33)(3, 41, 9, 36, 4, 42, 10, 35)(7, 43, 11, 40, 8, 44, 12, 39)(13, 49, 17, 46, 14, 50, 18, 45)(15, 51, 19, 48, 16, 52, 20, 47)(21, 57, 25, 54, 22, 58, 26, 53)(23, 59, 27, 56, 24, 60, 28, 55)(29, 63, 31, 62, 30, 64, 32, 61)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 36)(34, 40)(35, 38)(37, 39)(41, 46)(42, 45)(43, 48)(44, 47)(49, 54)(50, 53)(51, 56)(52, 55)(57, 62)(58, 61)(59, 64)(60, 63)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.387 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^4, R * Y2 * R * Y3, (Y3 * Y2)^2, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y3 * Y1^-2)^2, Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 37, 5, 33)(3, 41, 9, 48, 16, 43, 11, 35)(4, 44, 12, 49, 17, 45, 13, 36)(7, 50, 18, 46, 14, 52, 20, 39)(8, 53, 21, 47, 15, 54, 22, 40)(10, 51, 19, 60, 28, 57, 25, 42)(23, 64, 32, 58, 26, 62, 30, 55)(24, 63, 31, 59, 27, 61, 29, 56)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 36)(34, 40)(35, 42)(37, 47)(38, 49)(39, 51)(41, 56)(43, 59)(44, 55)(45, 58)(46, 57)(48, 60)(50, 62)(52, 64)(53, 61)(54, 63)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.388 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 3, 35, 8, 40, 4, 36)(2, 34, 5, 37, 11, 43, 6, 38)(7, 39, 13, 45, 9, 41, 14, 46)(10, 42, 15, 47, 12, 44, 16, 48)(17, 49, 21, 53, 18, 50, 22, 54)(19, 51, 23, 55, 20, 52, 24, 56)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 31, 63, 28, 60, 32, 64)(65, 66)(67, 71)(68, 73)(69, 74)(70, 76)(72, 75)(77, 81)(78, 82)(79, 83)(80, 84)(85, 89)(86, 90)(87, 91)(88, 92)(93, 95)(94, 96)(97, 98)(99, 103)(100, 105)(101, 106)(102, 108)(104, 107)(109, 113)(110, 114)(111, 115)(112, 116)(117, 121)(118, 122)(119, 123)(120, 124)(125, 127)(126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.398
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.389 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-2 * Y1 * Y3, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^2 * Y1, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 33, 4, 36, 14, 46, 5, 37)(2, 34, 7, 39, 22, 54, 8, 40)(3, 35, 10, 42, 17, 49, 11, 43)(6, 38, 18, 50, 9, 41, 19, 51)(12, 44, 25, 57, 15, 47, 26, 58)(13, 45, 27, 59, 16, 48, 28, 60)(20, 52, 29, 61, 23, 55, 30, 62)(21, 53, 31, 63, 24, 56, 32, 64)(65, 66)(67, 73)(68, 76)(69, 79)(70, 81)(71, 84)(72, 87)(74, 85)(75, 88)(77, 82)(78, 86)(80, 83)(89, 94)(90, 93)(91, 95)(92, 96)(97, 99)(98, 102)(100, 109)(101, 112)(103, 117)(104, 120)(105, 118)(106, 119)(107, 116)(108, 115)(110, 113)(111, 114)(121, 127)(122, 128)(123, 125)(124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.399
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.390 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 4, 36, 13, 45, 5, 37)(2, 34, 7, 39, 20, 52, 8, 40)(3, 35, 9, 41, 23, 55, 10, 42)(6, 38, 16, 48, 28, 60, 17, 49)(11, 43, 24, 56, 14, 46, 25, 57)(12, 44, 26, 58, 15, 47, 27, 59)(18, 50, 29, 61, 21, 53, 30, 62)(19, 51, 31, 63, 22, 54, 32, 64)(65, 66)(67, 70)(68, 75)(69, 78)(71, 82)(72, 85)(73, 83)(74, 86)(76, 80)(77, 84)(79, 81)(87, 92)(88, 95)(89, 96)(90, 93)(91, 94)(97, 99)(98, 102)(100, 108)(101, 111)(103, 115)(104, 118)(105, 114)(106, 117)(107, 112)(109, 119)(110, 113)(116, 124)(120, 125)(121, 126)(122, 127)(123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.400
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.391 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 4, 36, 6, 38, 5, 37)(2, 34, 7, 39, 3, 35, 8, 40)(9, 41, 13, 45, 10, 42, 14, 46)(11, 43, 15, 47, 12, 44, 16, 48)(17, 49, 21, 53, 18, 50, 22, 54)(19, 51, 23, 55, 20, 52, 24, 56)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 31, 63, 28, 60, 32, 64)(65, 66)(67, 70)(68, 73)(69, 74)(71, 75)(72, 76)(77, 81)(78, 82)(79, 83)(80, 84)(85, 89)(86, 90)(87, 91)(88, 92)(93, 95)(94, 96)(97, 99)(98, 102)(100, 106)(101, 105)(103, 108)(104, 107)(109, 114)(110, 113)(111, 116)(112, 115)(117, 122)(118, 121)(119, 124)(120, 123)(125, 128)(126, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.401
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.392 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 4, 36, 13, 45, 5, 37)(2, 34, 7, 39, 20, 52, 8, 40)(3, 35, 9, 41, 23, 55, 10, 42)(6, 38, 16, 48, 28, 60, 17, 49)(11, 43, 24, 56, 14, 46, 25, 57)(12, 44, 26, 58, 15, 47, 27, 59)(18, 50, 29, 61, 21, 53, 30, 62)(19, 51, 31, 63, 22, 54, 32, 64)(65, 66)(67, 70)(68, 75)(69, 78)(71, 82)(72, 85)(73, 83)(74, 86)(76, 80)(77, 84)(79, 81)(87, 92)(88, 96)(89, 95)(90, 94)(91, 93)(97, 99)(98, 102)(100, 108)(101, 111)(103, 115)(104, 118)(105, 114)(106, 117)(107, 112)(109, 119)(110, 113)(116, 124)(120, 126)(121, 125)(122, 128)(123, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.402
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.393 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, Y1^4, R * Y1 * R * Y2, Y2^4, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 6, 38)(3, 35, 7, 39)(5, 37, 10, 42)(8, 40, 13, 45)(9, 41, 14, 46)(11, 43, 15, 47)(12, 44, 16, 48)(17, 49, 21, 53)(18, 50, 22, 54)(19, 51, 23, 55)(20, 52, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 66, 69, 67)(68, 72, 74, 73)(70, 75, 71, 76)(77, 81, 78, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 95, 94, 96)(97, 99, 101, 98)(100, 105, 106, 104)(102, 108, 103, 107)(109, 114, 110, 113)(111, 116, 112, 115)(117, 122, 118, 121)(119, 124, 120, 123)(125, 128, 126, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.403
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.394 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-2 * Y1^-2, Y1^4, Y1^-2 * Y2^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y1 * Y3 * Y2^2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 69)(67, 72, 70, 74)(68, 76, 82, 78)(73, 84, 80, 86)(75, 85, 81, 87)(77, 83, 79, 88)(89, 96, 91, 94)(90, 95, 92, 93)(97, 99, 103, 102)(98, 104, 101, 106)(100, 109, 114, 111)(105, 117, 112, 119)(107, 116, 113, 118)(108, 115, 110, 120)(121, 127, 123, 125)(122, 128, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.404
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.395 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35)(2, 34, 6, 38)(4, 36, 9, 41)(5, 37, 10, 42)(7, 39, 13, 45)(8, 40, 14, 46)(11, 43, 15, 47)(12, 44, 16, 48)(17, 49, 21, 53)(18, 50, 22, 54)(19, 51, 23, 55)(20, 52, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 66, 69, 68)(67, 71, 74, 72)(70, 75, 73, 76)(77, 81, 78, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 95, 94, 96)(97, 98, 101, 100)(99, 103, 106, 104)(102, 107, 105, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 121, 118, 122)(119, 123, 120, 124)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.405
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.396 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-2 * Y2^2, Y1^2 * Y2^2, (R * Y3)^2, Y1^4, (Y1, Y2^-1), R * Y1 * R * Y2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 69)(67, 72, 70, 74)(68, 76, 82, 78)(73, 84, 80, 86)(75, 85, 81, 87)(77, 83, 79, 88)(89, 95, 91, 93)(90, 96, 92, 94)(97, 99, 103, 102)(98, 104, 101, 106)(100, 109, 114, 111)(105, 117, 112, 119)(107, 116, 113, 118)(108, 115, 110, 120)(121, 128, 123, 126)(122, 127, 124, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.406
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.397 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^2 * Y1^2, Y2^-2 * Y1^2, Y1^4, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y1 * Y3 * Y2^-2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 69)(67, 72, 70, 74)(68, 76, 82, 78)(73, 84, 80, 86)(75, 85, 81, 87)(77, 83, 79, 88)(89, 94, 91, 96)(90, 93, 92, 95)(97, 99, 103, 102)(98, 104, 101, 106)(100, 109, 114, 111)(105, 117, 112, 119)(107, 116, 113, 118)(108, 115, 110, 120)(121, 125, 123, 127)(122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.407
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.398 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 65, 97, 3, 35, 67, 99, 8, 40, 72, 104, 4, 36, 68, 100)(2, 34, 66, 98, 5, 37, 69, 101, 11, 43, 75, 107, 6, 38, 70, 102)(7, 39, 71, 103, 13, 45, 77, 109, 9, 41, 73, 105, 14, 46, 78, 110)(10, 42, 74, 106, 15, 47, 79, 111, 12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117, 18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119, 20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125, 26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127, 28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 33)(3, 39)(4, 41)(5, 42)(6, 44)(7, 35)(8, 43)(9, 36)(10, 37)(11, 40)(12, 38)(13, 49)(14, 50)(15, 51)(16, 52)(17, 45)(18, 46)(19, 47)(20, 48)(21, 57)(22, 58)(23, 59)(24, 60)(25, 53)(26, 54)(27, 55)(28, 56)(29, 63)(30, 64)(31, 61)(32, 62)(65, 98)(66, 97)(67, 103)(68, 105)(69, 106)(70, 108)(71, 99)(72, 107)(73, 100)(74, 101)(75, 104)(76, 102)(77, 113)(78, 114)(79, 115)(80, 116)(81, 109)(82, 110)(83, 111)(84, 112)(85, 121)(86, 122)(87, 123)(88, 124)(89, 117)(90, 118)(91, 119)(92, 120)(93, 127)(94, 128)(95, 125)(96, 126)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.388
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.399 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-2 * Y1 * Y3, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^2 * Y1, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 14, 46, 78, 110, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 22, 54, 86, 118, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 17, 49, 81, 113, 11, 43, 75, 107)(6, 38, 70, 102, 18, 50, 82, 114, 9, 41, 73, 105, 19, 51, 83, 115)(12, 44, 76, 108, 25, 57, 89, 121, 15, 47, 79, 111, 26, 58, 90, 122)(13, 45, 77, 109, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(21, 53, 85, 117, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 33)(3, 41)(4, 44)(5, 47)(6, 49)(7, 52)(8, 55)(9, 35)(10, 53)(11, 56)(12, 36)(13, 50)(14, 54)(15, 37)(16, 51)(17, 38)(18, 45)(19, 48)(20, 39)(21, 42)(22, 46)(23, 40)(24, 43)(25, 62)(26, 61)(27, 63)(28, 64)(29, 58)(30, 57)(31, 59)(32, 60)(65, 99)(66, 102)(67, 97)(68, 109)(69, 112)(70, 98)(71, 117)(72, 120)(73, 118)(74, 119)(75, 116)(76, 115)(77, 100)(78, 113)(79, 114)(80, 101)(81, 110)(82, 111)(83, 108)(84, 107)(85, 103)(86, 105)(87, 106)(88, 104)(89, 127)(90, 128)(91, 125)(92, 126)(93, 123)(94, 124)(95, 121)(96, 122)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.389
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.400 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 23, 55, 87, 119, 10, 42, 74, 106)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(11, 43, 75, 107, 24, 56, 88, 120, 14, 46, 78, 110, 25, 57, 89, 121)(12, 44, 76, 108, 26, 58, 90, 122, 15, 47, 79, 111, 27, 59, 91, 123)(18, 50, 82, 114, 29, 61, 93, 125, 21, 53, 85, 117, 30, 62, 94, 126)(19, 51, 83, 115, 31, 63, 95, 127, 22, 54, 86, 118, 32, 64, 96, 128)
	L = (1, 34)(2, 33)(3, 38)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 51)(10, 54)(11, 36)(12, 48)(13, 52)(14, 37)(15, 49)(16, 44)(17, 47)(18, 39)(19, 41)(20, 45)(21, 40)(22, 42)(23, 60)(24, 63)(25, 64)(26, 61)(27, 62)(28, 55)(29, 58)(30, 59)(31, 56)(32, 57)(65, 99)(66, 102)(67, 97)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 114)(74, 117)(75, 112)(76, 100)(77, 119)(78, 113)(79, 101)(80, 107)(81, 110)(82, 105)(83, 103)(84, 124)(85, 106)(86, 104)(87, 109)(88, 125)(89, 126)(90, 127)(91, 128)(92, 116)(93, 120)(94, 121)(95, 122)(96, 123)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.390
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.401 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 6, 38, 70, 102, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 3, 35, 67, 99, 8, 40, 72, 104)(9, 41, 73, 105, 13, 45, 77, 109, 10, 42, 74, 106, 14, 46, 78, 110)(11, 43, 75, 107, 15, 47, 79, 111, 12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117, 18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119, 20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125, 26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127, 28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 33)(3, 38)(4, 41)(5, 42)(6, 35)(7, 43)(8, 44)(9, 36)(10, 37)(11, 39)(12, 40)(13, 49)(14, 50)(15, 51)(16, 52)(17, 45)(18, 46)(19, 47)(20, 48)(21, 57)(22, 58)(23, 59)(24, 60)(25, 53)(26, 54)(27, 55)(28, 56)(29, 63)(30, 64)(31, 61)(32, 62)(65, 99)(66, 102)(67, 97)(68, 106)(69, 105)(70, 98)(71, 108)(72, 107)(73, 101)(74, 100)(75, 104)(76, 103)(77, 114)(78, 113)(79, 116)(80, 115)(81, 110)(82, 109)(83, 112)(84, 111)(85, 122)(86, 121)(87, 124)(88, 123)(89, 118)(90, 117)(91, 120)(92, 119)(93, 128)(94, 127)(95, 126)(96, 125)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.391
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.402 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 23, 55, 87, 119, 10, 42, 74, 106)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(11, 43, 75, 107, 24, 56, 88, 120, 14, 46, 78, 110, 25, 57, 89, 121)(12, 44, 76, 108, 26, 58, 90, 122, 15, 47, 79, 111, 27, 59, 91, 123)(18, 50, 82, 114, 29, 61, 93, 125, 21, 53, 85, 117, 30, 62, 94, 126)(19, 51, 83, 115, 31, 63, 95, 127, 22, 54, 86, 118, 32, 64, 96, 128)
	L = (1, 34)(2, 33)(3, 38)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 51)(10, 54)(11, 36)(12, 48)(13, 52)(14, 37)(15, 49)(16, 44)(17, 47)(18, 39)(19, 41)(20, 45)(21, 40)(22, 42)(23, 60)(24, 64)(25, 63)(26, 62)(27, 61)(28, 55)(29, 59)(30, 58)(31, 57)(32, 56)(65, 99)(66, 102)(67, 97)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 114)(74, 117)(75, 112)(76, 100)(77, 119)(78, 113)(79, 101)(80, 107)(81, 110)(82, 105)(83, 103)(84, 124)(85, 106)(86, 104)(87, 109)(88, 126)(89, 125)(90, 128)(91, 127)(92, 116)(93, 121)(94, 120)(95, 123)(96, 122)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.392
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.403 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, Y1^4, R * Y1 * R * Y2, Y2^4, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 6, 38, 70, 102)(3, 35, 67, 99, 7, 39, 71, 103)(5, 37, 69, 101, 10, 42, 74, 106)(8, 40, 72, 104, 13, 45, 77, 109)(9, 41, 73, 105, 14, 46, 78, 110)(11, 43, 75, 107, 15, 47, 79, 111)(12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117)(18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119)(20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125)(26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127)(28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 33)(4, 40)(5, 35)(6, 43)(7, 44)(8, 42)(9, 36)(10, 41)(11, 39)(12, 38)(13, 49)(14, 50)(15, 51)(16, 52)(17, 46)(18, 45)(19, 48)(20, 47)(21, 57)(22, 58)(23, 59)(24, 60)(25, 54)(26, 53)(27, 56)(28, 55)(29, 63)(30, 64)(31, 62)(32, 61)(65, 99)(66, 97)(67, 101)(68, 105)(69, 98)(70, 108)(71, 107)(72, 100)(73, 106)(74, 104)(75, 102)(76, 103)(77, 114)(78, 113)(79, 116)(80, 115)(81, 109)(82, 110)(83, 111)(84, 112)(85, 122)(86, 121)(87, 124)(88, 123)(89, 117)(90, 118)(91, 119)(92, 120)(93, 128)(94, 127)(95, 125)(96, 126)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.393
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.404 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-2 * Y1^-2, Y1^4, Y1^-2 * Y2^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y1 * Y3 * Y2^2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 37)(8, 38)(9, 52)(10, 35)(11, 53)(12, 50)(13, 51)(14, 36)(15, 56)(16, 54)(17, 55)(18, 46)(19, 47)(20, 48)(21, 49)(22, 41)(23, 43)(24, 45)(25, 64)(26, 63)(27, 62)(28, 61)(29, 58)(30, 57)(31, 60)(32, 59)(65, 99)(66, 104)(67, 103)(68, 109)(69, 106)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 116)(76, 115)(77, 114)(78, 120)(79, 100)(80, 119)(81, 118)(82, 111)(83, 110)(84, 113)(85, 112)(86, 107)(87, 105)(88, 108)(89, 127)(90, 128)(91, 125)(92, 126)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.394
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.405 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99)(2, 34, 66, 98, 6, 38, 70, 102)(4, 36, 68, 100, 9, 41, 73, 105)(5, 37, 69, 101, 10, 42, 74, 106)(7, 39, 71, 103, 13, 45, 77, 109)(8, 40, 72, 104, 14, 46, 78, 110)(11, 43, 75, 107, 15, 47, 79, 111)(12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117)(18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119)(20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125)(26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127)(28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 39)(4, 33)(5, 36)(6, 43)(7, 42)(8, 35)(9, 44)(10, 40)(11, 41)(12, 38)(13, 49)(14, 50)(15, 51)(16, 52)(17, 46)(18, 45)(19, 48)(20, 47)(21, 57)(22, 58)(23, 59)(24, 60)(25, 54)(26, 53)(27, 56)(28, 55)(29, 63)(30, 64)(31, 62)(32, 61)(65, 98)(66, 101)(67, 103)(68, 97)(69, 100)(70, 107)(71, 106)(72, 99)(73, 108)(74, 104)(75, 105)(76, 102)(77, 113)(78, 114)(79, 115)(80, 116)(81, 110)(82, 109)(83, 112)(84, 111)(85, 121)(86, 122)(87, 123)(88, 124)(89, 118)(90, 117)(91, 120)(92, 119)(93, 127)(94, 128)(95, 126)(96, 125)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.395
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.406 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-2 * Y2^2, Y1^2 * Y2^2, (R * Y3)^2, Y1^4, (Y1, Y2^-1), R * Y1 * R * Y2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 37)(8, 38)(9, 52)(10, 35)(11, 53)(12, 50)(13, 51)(14, 36)(15, 56)(16, 54)(17, 55)(18, 46)(19, 47)(20, 48)(21, 49)(22, 41)(23, 43)(24, 45)(25, 63)(26, 64)(27, 61)(28, 62)(29, 57)(30, 58)(31, 59)(32, 60)(65, 99)(66, 104)(67, 103)(68, 109)(69, 106)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 116)(76, 115)(77, 114)(78, 120)(79, 100)(80, 119)(81, 118)(82, 111)(83, 110)(84, 113)(85, 112)(86, 107)(87, 105)(88, 108)(89, 128)(90, 127)(91, 126)(92, 125)(93, 122)(94, 121)(95, 124)(96, 123)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.396
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.407 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^2 * Y1^2, Y2^-2 * Y1^2, Y1^4, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y1 * Y3 * Y2^-2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 37)(8, 38)(9, 52)(10, 35)(11, 53)(12, 50)(13, 51)(14, 36)(15, 56)(16, 54)(17, 55)(18, 46)(19, 47)(20, 48)(21, 49)(22, 41)(23, 43)(24, 45)(25, 62)(26, 61)(27, 64)(28, 63)(29, 60)(30, 59)(31, 58)(32, 57)(65, 99)(66, 104)(67, 103)(68, 109)(69, 106)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 116)(76, 115)(77, 114)(78, 120)(79, 100)(80, 119)(81, 118)(82, 111)(83, 110)(84, 113)(85, 112)(86, 107)(87, 105)(88, 108)(89, 125)(90, 126)(91, 127)(92, 128)(93, 123)(94, 124)(95, 121)(96, 122)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.397
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 10, 42)(6, 38, 12, 44)(8, 40, 11, 43)(13, 45, 17, 49)(14, 46, 18, 50)(15, 47, 19, 51)(16, 48, 20, 52)(21, 53, 25, 57)(22, 54, 26, 58)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 72, 104, 68, 100)(66, 98, 69, 101, 75, 107, 70, 102)(71, 103, 77, 109, 73, 105, 78, 110)(74, 106, 79, 111, 76, 108, 80, 112)(81, 113, 85, 117, 82, 114, 86, 118)(83, 115, 87, 119, 84, 116, 88, 120)(89, 121, 93, 125, 90, 122, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 14, 46)(8, 40, 18, 50)(10, 42, 15, 47)(11, 43, 20, 52)(12, 44, 23, 55)(16, 48, 25, 57)(17, 49, 28, 60)(19, 51, 29, 61)(21, 53, 32, 64)(22, 54, 27, 59)(24, 56, 30, 62)(26, 58, 31, 63)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 79, 111, 72, 104)(68, 100, 75, 107, 86, 118, 76, 108)(71, 103, 80, 112, 91, 123, 81, 113)(73, 105, 83, 115, 77, 109, 85, 117)(78, 110, 88, 120, 82, 114, 90, 122)(84, 116, 94, 126, 87, 119, 95, 127)(89, 121, 93, 125, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 80)(7, 66)(8, 81)(9, 84)(10, 86)(11, 67)(12, 69)(13, 87)(14, 89)(15, 91)(16, 70)(17, 72)(18, 92)(19, 94)(20, 73)(21, 95)(22, 74)(23, 77)(24, 93)(25, 78)(26, 96)(27, 79)(28, 82)(29, 88)(30, 83)(31, 85)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 10, 42)(6, 38, 11, 43)(8, 40, 12, 44)(13, 45, 17, 49)(14, 46, 18, 50)(15, 47, 19, 51)(16, 48, 20, 52)(21, 53, 25, 57)(22, 54, 26, 58)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 68, 100, 69, 101)(66, 98, 70, 102, 71, 103, 72, 104)(73, 105, 77, 109, 74, 106, 78, 110)(75, 107, 79, 111, 76, 108, 80, 112)(81, 113, 85, 117, 82, 114, 86, 118)(83, 115, 87, 119, 84, 116, 88, 120)(89, 121, 93, 125, 90, 122, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 69)(4, 65)(5, 67)(6, 72)(7, 66)(8, 70)(9, 74)(10, 73)(11, 76)(12, 75)(13, 78)(14, 77)(15, 80)(16, 79)(17, 82)(18, 81)(19, 84)(20, 83)(21, 86)(22, 85)(23, 88)(24, 87)(25, 90)(26, 89)(27, 92)(28, 91)(29, 94)(30, 93)(31, 96)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 14, 46)(8, 40, 18, 50)(10, 42, 15, 47)(11, 43, 20, 52)(12, 44, 23, 55)(16, 48, 25, 57)(17, 49, 28, 60)(19, 51, 29, 61)(21, 53, 32, 64)(22, 54, 27, 59)(24, 56, 31, 63)(26, 58, 30, 62)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 79, 111, 72, 104)(68, 100, 75, 107, 86, 118, 76, 108)(71, 103, 80, 112, 91, 123, 81, 113)(73, 105, 83, 115, 77, 109, 85, 117)(78, 110, 88, 120, 82, 114, 90, 122)(84, 116, 94, 126, 87, 119, 95, 127)(89, 121, 96, 128, 92, 124, 93, 125)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 80)(7, 66)(8, 81)(9, 84)(10, 86)(11, 67)(12, 69)(13, 87)(14, 89)(15, 91)(16, 70)(17, 72)(18, 92)(19, 94)(20, 73)(21, 95)(22, 74)(23, 77)(24, 96)(25, 78)(26, 93)(27, 79)(28, 82)(29, 90)(30, 83)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.412 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 34, 2, 37, 5, 36, 4, 33)(3, 39, 7, 45, 13, 40, 8, 35)(6, 43, 11, 52, 20, 44, 12, 38)(9, 48, 16, 58, 26, 49, 17, 41)(10, 50, 18, 59, 27, 51, 19, 42)(14, 53, 21, 60, 28, 56, 24, 46)(15, 54, 22, 61, 29, 57, 25, 47)(23, 62, 30, 64, 32, 63, 31, 55)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 24)(17, 25)(18, 28)(19, 29)(20, 30)(26, 31)(27, 32)(33, 35)(34, 38)(36, 41)(37, 42)(39, 46)(40, 47)(43, 53)(44, 54)(45, 55)(48, 56)(49, 57)(50, 60)(51, 61)(52, 62)(58, 63)(59, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.413 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^4, (Y2 * Y3)^2, (R * Y1)^2, R * Y2 * R * Y3, Y2 * Y1^-2 * Y3 * Y1^-2, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 37, 5, 33)(3, 41, 9, 49, 17, 43, 11, 35)(4, 44, 12, 48, 16, 45, 13, 36)(7, 50, 18, 47, 15, 52, 20, 39)(8, 53, 21, 46, 14, 54, 22, 40)(10, 51, 19, 60, 28, 57, 25, 42)(23, 61, 29, 59, 27, 64, 32, 55)(24, 62, 30, 58, 26, 63, 31, 56)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 36)(34, 40)(35, 42)(37, 47)(38, 49)(39, 51)(41, 56)(43, 59)(44, 55)(45, 58)(46, 57)(48, 60)(50, 62)(52, 64)(53, 61)(54, 63)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.414 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^-2 * Y1 * Y3^2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 ]
Map::
	R = (1, 33, 3, 35, 8, 40, 4, 36)(2, 34, 5, 37, 11, 43, 6, 38)(7, 39, 13, 45, 23, 55, 14, 46)(9, 41, 16, 48, 26, 58, 17, 49)(10, 42, 18, 50, 27, 59, 19, 51)(12, 44, 21, 53, 30, 62, 22, 54)(15, 47, 24, 56, 31, 63, 25, 57)(20, 52, 28, 60, 32, 64, 29, 61)(65, 66)(67, 71)(68, 73)(69, 74)(70, 76)(72, 79)(75, 84)(77, 82)(78, 85)(80, 83)(81, 86)(87, 92)(88, 91)(89, 94)(90, 93)(95, 96)(97, 98)(99, 103)(100, 105)(101, 106)(102, 108)(104, 111)(107, 116)(109, 114)(110, 117)(112, 115)(113, 118)(119, 124)(120, 123)(121, 126)(122, 125)(127, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.418
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.415 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 4, 36, 13, 45, 5, 37)(2, 34, 7, 39, 20, 52, 8, 40)(3, 35, 9, 41, 23, 55, 10, 42)(6, 38, 16, 48, 28, 60, 17, 49)(11, 43, 24, 56, 15, 47, 25, 57)(12, 44, 26, 58, 14, 46, 27, 59)(18, 50, 29, 61, 22, 54, 30, 62)(19, 51, 31, 63, 21, 53, 32, 64)(65, 66)(67, 70)(68, 75)(69, 78)(71, 82)(72, 85)(73, 83)(74, 86)(76, 80)(77, 87)(79, 81)(84, 92)(88, 93)(89, 96)(90, 95)(91, 94)(97, 99)(98, 102)(100, 108)(101, 111)(103, 115)(104, 118)(105, 114)(106, 117)(107, 112)(109, 116)(110, 113)(119, 124)(120, 127)(121, 126)(122, 125)(123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.419
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.416 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^4, Y2^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 6, 38)(3, 35, 7, 39)(5, 37, 10, 42)(8, 40, 16, 48)(9, 41, 17, 49)(11, 43, 21, 53)(12, 44, 22, 54)(13, 45, 24, 56)(14, 46, 25, 57)(15, 47, 26, 58)(18, 50, 28, 60)(19, 51, 29, 61)(20, 52, 30, 62)(23, 55, 31, 63)(27, 59, 32, 64)(65, 66, 69, 67)(68, 72, 79, 73)(70, 75, 84, 76)(71, 77, 87, 78)(74, 82, 91, 83)(80, 85, 92, 88)(81, 86, 93, 89)(90, 94, 96, 95)(97, 99, 101, 98)(100, 105, 111, 104)(102, 108, 116, 107)(103, 110, 119, 109)(106, 115, 123, 114)(112, 120, 124, 117)(113, 121, 125, 118)(122, 127, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.420
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.417 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y2^-1, Y1), (Y2^-1 * Y1^-1)^2, Y1^2 * Y2^2, Y2^-2 * Y1^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 69)(67, 72, 70, 74)(68, 76, 88, 78)(73, 84, 75, 86)(77, 83, 79, 82)(80, 85, 81, 87)(89, 93, 90, 94)(91, 95, 92, 96)(97, 99, 103, 102)(98, 104, 101, 106)(100, 109, 120, 111)(105, 117, 107, 119)(108, 115, 110, 114)(112, 116, 113, 118)(121, 127, 122, 128)(123, 125, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.421
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.418 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^-2 * Y1 * Y3^2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 ]
Map::
	R = (1, 33, 65, 97, 3, 35, 67, 99, 8, 40, 72, 104, 4, 36, 68, 100)(2, 34, 66, 98, 5, 37, 69, 101, 11, 43, 75, 107, 6, 38, 70, 102)(7, 39, 71, 103, 13, 45, 77, 109, 23, 55, 87, 119, 14, 46, 78, 110)(9, 41, 73, 105, 16, 48, 80, 112, 26, 58, 90, 122, 17, 49, 81, 113)(10, 42, 74, 106, 18, 50, 82, 114, 27, 59, 91, 123, 19, 51, 83, 115)(12, 44, 76, 108, 21, 53, 85, 117, 30, 62, 94, 126, 22, 54, 86, 118)(15, 47, 79, 111, 24, 56, 88, 120, 31, 63, 95, 127, 25, 57, 89, 121)(20, 52, 84, 116, 28, 60, 92, 124, 32, 64, 96, 128, 29, 61, 93, 125)
	L = (1, 34)(2, 33)(3, 39)(4, 41)(5, 42)(6, 44)(7, 35)(8, 47)(9, 36)(10, 37)(11, 52)(12, 38)(13, 50)(14, 53)(15, 40)(16, 51)(17, 54)(18, 45)(19, 48)(20, 43)(21, 46)(22, 49)(23, 60)(24, 59)(25, 62)(26, 61)(27, 56)(28, 55)(29, 58)(30, 57)(31, 64)(32, 63)(65, 98)(66, 97)(67, 103)(68, 105)(69, 106)(70, 108)(71, 99)(72, 111)(73, 100)(74, 101)(75, 116)(76, 102)(77, 114)(78, 117)(79, 104)(80, 115)(81, 118)(82, 109)(83, 112)(84, 107)(85, 110)(86, 113)(87, 124)(88, 123)(89, 126)(90, 125)(91, 120)(92, 119)(93, 122)(94, 121)(95, 128)(96, 127)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.414
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.419 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 23, 55, 87, 119, 10, 42, 74, 106)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(11, 43, 75, 107, 24, 56, 88, 120, 15, 47, 79, 111, 25, 57, 89, 121)(12, 44, 76, 108, 26, 58, 90, 122, 14, 46, 78, 110, 27, 59, 91, 123)(18, 50, 82, 114, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(19, 51, 83, 115, 31, 63, 95, 127, 21, 53, 85, 117, 32, 64, 96, 128)
	L = (1, 34)(2, 33)(3, 38)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 51)(10, 54)(11, 36)(12, 48)(13, 55)(14, 37)(15, 49)(16, 44)(17, 47)(18, 39)(19, 41)(20, 60)(21, 40)(22, 42)(23, 45)(24, 61)(25, 64)(26, 63)(27, 62)(28, 52)(29, 56)(30, 59)(31, 58)(32, 57)(65, 99)(66, 102)(67, 97)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 114)(74, 117)(75, 112)(76, 100)(77, 116)(78, 113)(79, 101)(80, 107)(81, 110)(82, 105)(83, 103)(84, 109)(85, 106)(86, 104)(87, 124)(88, 127)(89, 126)(90, 125)(91, 128)(92, 119)(93, 122)(94, 121)(95, 120)(96, 123)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.415
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.420 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^4, Y2^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 6, 38, 70, 102)(3, 35, 67, 99, 7, 39, 71, 103)(5, 37, 69, 101, 10, 42, 74, 106)(8, 40, 72, 104, 16, 48, 80, 112)(9, 41, 73, 105, 17, 49, 81, 113)(11, 43, 75, 107, 21, 53, 85, 117)(12, 44, 76, 108, 22, 54, 86, 118)(13, 45, 77, 109, 24, 56, 88, 120)(14, 46, 78, 110, 25, 57, 89, 121)(15, 47, 79, 111, 26, 58, 90, 122)(18, 50, 82, 114, 28, 60, 92, 124)(19, 51, 83, 115, 29, 61, 93, 125)(20, 52, 84, 116, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127)(27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 33)(4, 40)(5, 35)(6, 43)(7, 45)(8, 47)(9, 36)(10, 50)(11, 52)(12, 38)(13, 55)(14, 39)(15, 41)(16, 53)(17, 54)(18, 59)(19, 42)(20, 44)(21, 60)(22, 61)(23, 46)(24, 48)(25, 49)(26, 62)(27, 51)(28, 56)(29, 57)(30, 64)(31, 58)(32, 63)(65, 99)(66, 97)(67, 101)(68, 105)(69, 98)(70, 108)(71, 110)(72, 100)(73, 111)(74, 115)(75, 102)(76, 116)(77, 103)(78, 119)(79, 104)(80, 120)(81, 121)(82, 106)(83, 123)(84, 107)(85, 112)(86, 113)(87, 109)(88, 124)(89, 125)(90, 127)(91, 114)(92, 117)(93, 118)(94, 122)(95, 128)(96, 126)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.416
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.421 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y2^-1, Y1), (Y2^-1 * Y1^-1)^2, Y1^2 * Y2^2, Y2^-2 * Y1^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 37)(8, 38)(9, 52)(10, 35)(11, 54)(12, 56)(13, 51)(14, 36)(15, 50)(16, 53)(17, 55)(18, 45)(19, 47)(20, 43)(21, 49)(22, 41)(23, 48)(24, 46)(25, 61)(26, 62)(27, 63)(28, 64)(29, 58)(30, 57)(31, 60)(32, 59)(65, 99)(66, 104)(67, 103)(68, 109)(69, 106)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 119)(76, 115)(77, 120)(78, 114)(79, 100)(80, 116)(81, 118)(82, 108)(83, 110)(84, 113)(85, 107)(86, 112)(87, 105)(88, 111)(89, 127)(90, 128)(91, 125)(92, 126)(93, 124)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.417
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^4, (Y2^-2 * Y1)^4 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 10, 42)(6, 38, 12, 44)(8, 40, 15, 47)(11, 43, 20, 52)(13, 45, 18, 50)(14, 46, 21, 53)(16, 48, 19, 51)(17, 49, 22, 54)(23, 55, 28, 60)(24, 56, 27, 59)(25, 57, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 72, 104, 68, 100)(66, 98, 69, 101, 75, 107, 70, 102)(71, 103, 77, 109, 87, 119, 78, 110)(73, 105, 80, 112, 90, 122, 81, 113)(74, 106, 82, 114, 91, 123, 83, 115)(76, 108, 85, 117, 94, 126, 86, 118)(79, 111, 88, 120, 95, 127, 89, 121)(84, 116, 92, 124, 96, 128, 93, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 14, 46)(8, 40, 18, 50)(10, 42, 22, 54)(11, 43, 20, 52)(12, 44, 24, 56)(15, 47, 23, 55)(16, 48, 28, 60)(17, 49, 30, 62)(19, 51, 27, 59)(21, 53, 31, 63)(25, 57, 29, 61)(26, 58, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 79, 111, 72, 104)(68, 100, 75, 107, 87, 119, 76, 108)(71, 103, 80, 112, 86, 118, 81, 113)(73, 105, 83, 115, 88, 120, 85, 117)(77, 109, 89, 121, 84, 116, 90, 122)(78, 110, 91, 123, 94, 126, 93, 125)(82, 114, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 80)(7, 66)(8, 81)(9, 84)(10, 87)(11, 67)(12, 69)(13, 88)(14, 92)(15, 86)(16, 70)(17, 72)(18, 94)(19, 90)(20, 73)(21, 89)(22, 79)(23, 74)(24, 77)(25, 85)(26, 83)(27, 96)(28, 78)(29, 95)(30, 82)(31, 93)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y2^4, Y3^4, Y1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 13, 45)(9, 41, 18, 50)(12, 44, 25, 57)(14, 46, 24, 56)(15, 47, 21, 53)(16, 48, 30, 62)(19, 51, 32, 64)(20, 52, 28, 60)(22, 54, 29, 61)(23, 55, 26, 58)(27, 59, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 77, 109, 90, 122, 80, 112)(70, 102, 78, 110, 91, 123, 82, 114)(72, 104, 75, 107, 87, 119, 86, 118)(74, 106, 84, 116, 95, 127, 81, 113)(79, 111, 92, 124, 96, 128, 93, 125)(85, 117, 88, 120, 89, 121, 94, 126)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 75)(8, 85)(9, 86)(10, 66)(11, 88)(12, 90)(13, 92)(14, 67)(15, 70)(16, 93)(17, 73)(18, 69)(19, 87)(20, 71)(21, 74)(22, 94)(23, 89)(24, 84)(25, 95)(26, 96)(27, 76)(28, 78)(29, 82)(30, 81)(31, 83)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, Y2^4, Y3^4, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 14, 46)(9, 41, 16, 48)(12, 44, 25, 57)(13, 45, 24, 56)(15, 47, 21, 53)(18, 50, 30, 62)(19, 51, 32, 64)(20, 52, 28, 60)(22, 54, 29, 61)(23, 55, 27, 59)(26, 58, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 77, 109, 90, 122, 80, 112)(70, 102, 78, 110, 91, 123, 82, 114)(72, 104, 84, 116, 95, 127, 81, 113)(74, 106, 75, 107, 87, 119, 86, 118)(79, 111, 92, 124, 96, 128, 93, 125)(85, 117, 88, 120, 89, 121, 94, 126)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 84)(8, 85)(9, 81)(10, 66)(11, 71)(12, 90)(13, 92)(14, 67)(15, 70)(16, 93)(17, 94)(18, 69)(19, 95)(20, 88)(21, 74)(22, 73)(23, 83)(24, 75)(25, 87)(26, 96)(27, 76)(28, 78)(29, 82)(30, 86)(31, 89)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.426 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^4, (Y3 * Y2)^2, Y3 * Y1^2 * Y2, (R * Y1)^2, R * Y2 * R * Y3, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 37, 5, 33)(3, 41, 9, 36, 4, 42, 10, 35)(7, 43, 11, 40, 8, 44, 12, 39)(13, 49, 17, 46, 14, 50, 18, 45)(15, 51, 19, 48, 16, 52, 20, 47)(21, 57, 25, 54, 22, 58, 26, 53)(23, 59, 27, 56, 24, 60, 28, 55)(29, 64, 32, 62, 30, 63, 31, 61)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 36)(34, 40)(35, 38)(37, 39)(41, 46)(42, 45)(43, 48)(44, 47)(49, 54)(50, 53)(51, 56)(52, 55)(57, 62)(58, 61)(59, 64)(60, 63)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.427 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^4, R * Y2 * R * Y3, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 34, 2, 37, 5, 36, 4, 33)(3, 39, 7, 42, 10, 40, 8, 35)(6, 43, 11, 41, 9, 44, 12, 38)(13, 49, 17, 46, 14, 50, 18, 45)(15, 51, 19, 48, 16, 52, 20, 47)(21, 57, 25, 54, 22, 58, 26, 53)(23, 59, 27, 56, 24, 60, 28, 55)(29, 64, 32, 62, 30, 63, 31, 61)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 35)(34, 38)(36, 41)(37, 42)(39, 45)(40, 46)(43, 47)(44, 48)(49, 53)(50, 54)(51, 55)(52, 56)(57, 61)(58, 62)(59, 63)(60, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.428 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 4, 36, 6, 38, 5, 37)(2, 34, 7, 39, 3, 35, 8, 40)(9, 41, 13, 45, 10, 42, 14, 46)(11, 43, 15, 47, 12, 44, 16, 48)(17, 49, 21, 53, 18, 50, 22, 54)(19, 51, 23, 55, 20, 52, 24, 56)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 31, 63, 28, 60, 32, 64)(65, 66)(67, 70)(68, 73)(69, 74)(71, 75)(72, 76)(77, 81)(78, 82)(79, 83)(80, 84)(85, 89)(86, 90)(87, 91)(88, 92)(93, 96)(94, 95)(97, 99)(98, 102)(100, 106)(101, 105)(103, 108)(104, 107)(109, 114)(110, 113)(111, 116)(112, 115)(117, 122)(118, 121)(119, 124)(120, 123)(125, 127)(126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.432
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.429 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 33, 3, 35, 8, 40, 4, 36)(2, 34, 5, 37, 11, 43, 6, 38)(7, 39, 13, 45, 9, 41, 14, 46)(10, 42, 15, 47, 12, 44, 16, 48)(17, 49, 21, 53, 18, 50, 22, 54)(19, 51, 23, 55, 20, 52, 24, 56)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 31, 63, 28, 60, 32, 64)(65, 66)(67, 71)(68, 73)(69, 74)(70, 76)(72, 75)(77, 81)(78, 82)(79, 83)(80, 84)(85, 89)(86, 90)(87, 91)(88, 92)(93, 96)(94, 95)(97, 98)(99, 103)(100, 105)(101, 106)(102, 108)(104, 107)(109, 113)(110, 114)(111, 115)(112, 116)(117, 121)(118, 122)(119, 123)(120, 124)(125, 128)(126, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.433
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.430 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD32 (small group id <32, 19>)
Aut   = C2 x QD32 (small group id <64, 187>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 6, 38)(3, 35, 7, 39)(5, 37, 10, 42)(8, 40, 13, 45)(9, 41, 14, 46)(11, 43, 15, 47)(12, 44, 16, 48)(17, 49, 21, 53)(18, 50, 22, 54)(19, 51, 23, 55)(20, 52, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 66, 69, 67)(68, 72, 74, 73)(70, 75, 71, 76)(77, 81, 78, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 96, 94, 95)(97, 99, 101, 98)(100, 105, 106, 104)(102, 108, 103, 107)(109, 114, 110, 113)(111, 116, 112, 115)(117, 122, 118, 121)(119, 124, 120, 123)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.434
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.431 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y2^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35)(2, 34, 6, 38)(4, 36, 9, 41)(5, 37, 10, 42)(7, 39, 13, 45)(8, 40, 14, 46)(11, 43, 15, 47)(12, 44, 16, 48)(17, 49, 21, 53)(18, 50, 22, 54)(19, 51, 23, 55)(20, 52, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 66, 69, 68)(67, 71, 74, 72)(70, 75, 73, 76)(77, 81, 78, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 96, 94, 95)(97, 98, 101, 100)(99, 103, 106, 104)(102, 107, 105, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 121, 118, 122)(119, 123, 120, 124)(125, 128, 126, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.435
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.432 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 6, 38, 70, 102, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 3, 35, 67, 99, 8, 40, 72, 104)(9, 41, 73, 105, 13, 45, 77, 109, 10, 42, 74, 106, 14, 46, 78, 110)(11, 43, 75, 107, 15, 47, 79, 111, 12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117, 18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119, 20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125, 26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127, 28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 33)(3, 38)(4, 41)(5, 42)(6, 35)(7, 43)(8, 44)(9, 36)(10, 37)(11, 39)(12, 40)(13, 49)(14, 50)(15, 51)(16, 52)(17, 45)(18, 46)(19, 47)(20, 48)(21, 57)(22, 58)(23, 59)(24, 60)(25, 53)(26, 54)(27, 55)(28, 56)(29, 64)(30, 63)(31, 62)(32, 61)(65, 99)(66, 102)(67, 97)(68, 106)(69, 105)(70, 98)(71, 108)(72, 107)(73, 101)(74, 100)(75, 104)(76, 103)(77, 114)(78, 113)(79, 116)(80, 115)(81, 110)(82, 109)(83, 112)(84, 111)(85, 122)(86, 121)(87, 124)(88, 123)(89, 118)(90, 117)(91, 120)(92, 119)(93, 127)(94, 128)(95, 125)(96, 126)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.428
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.433 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 33, 65, 97, 3, 35, 67, 99, 8, 40, 72, 104, 4, 36, 68, 100)(2, 34, 66, 98, 5, 37, 69, 101, 11, 43, 75, 107, 6, 38, 70, 102)(7, 39, 71, 103, 13, 45, 77, 109, 9, 41, 73, 105, 14, 46, 78, 110)(10, 42, 74, 106, 15, 47, 79, 111, 12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117, 18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119, 20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125, 26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127, 28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 33)(3, 39)(4, 41)(5, 42)(6, 44)(7, 35)(8, 43)(9, 36)(10, 37)(11, 40)(12, 38)(13, 49)(14, 50)(15, 51)(16, 52)(17, 45)(18, 46)(19, 47)(20, 48)(21, 57)(22, 58)(23, 59)(24, 60)(25, 53)(26, 54)(27, 55)(28, 56)(29, 64)(30, 63)(31, 62)(32, 61)(65, 98)(66, 97)(67, 103)(68, 105)(69, 106)(70, 108)(71, 99)(72, 107)(73, 100)(74, 101)(75, 104)(76, 102)(77, 113)(78, 114)(79, 115)(80, 116)(81, 109)(82, 110)(83, 111)(84, 112)(85, 121)(86, 122)(87, 123)(88, 124)(89, 117)(90, 118)(91, 119)(92, 120)(93, 128)(94, 127)(95, 126)(96, 125)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.429
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.434 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD32 (small group id <32, 19>)
Aut   = C2 x QD32 (small group id <64, 187>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 6, 38, 70, 102)(3, 35, 67, 99, 7, 39, 71, 103)(5, 37, 69, 101, 10, 42, 74, 106)(8, 40, 72, 104, 13, 45, 77, 109)(9, 41, 73, 105, 14, 46, 78, 110)(11, 43, 75, 107, 15, 47, 79, 111)(12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117)(18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119)(20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125)(26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127)(28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 33)(4, 40)(5, 35)(6, 43)(7, 44)(8, 42)(9, 36)(10, 41)(11, 39)(12, 38)(13, 49)(14, 50)(15, 51)(16, 52)(17, 46)(18, 45)(19, 48)(20, 47)(21, 57)(22, 58)(23, 59)(24, 60)(25, 54)(26, 53)(27, 56)(28, 55)(29, 64)(30, 63)(31, 61)(32, 62)(65, 99)(66, 97)(67, 101)(68, 105)(69, 98)(70, 108)(71, 107)(72, 100)(73, 106)(74, 104)(75, 102)(76, 103)(77, 114)(78, 113)(79, 116)(80, 115)(81, 109)(82, 110)(83, 111)(84, 112)(85, 122)(86, 121)(87, 124)(88, 123)(89, 117)(90, 118)(91, 119)(92, 120)(93, 127)(94, 128)(95, 126)(96, 125)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.430
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.435 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y2^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99)(2, 34, 66, 98, 6, 38, 70, 102)(4, 36, 68, 100, 9, 41, 73, 105)(5, 37, 69, 101, 10, 42, 74, 106)(7, 39, 71, 103, 13, 45, 77, 109)(8, 40, 72, 104, 14, 46, 78, 110)(11, 43, 75, 107, 15, 47, 79, 111)(12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117)(18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119)(20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125)(26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127)(28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 39)(4, 33)(5, 36)(6, 43)(7, 42)(8, 35)(9, 44)(10, 40)(11, 41)(12, 38)(13, 49)(14, 50)(15, 51)(16, 52)(17, 46)(18, 45)(19, 48)(20, 47)(21, 57)(22, 58)(23, 59)(24, 60)(25, 54)(26, 53)(27, 56)(28, 55)(29, 64)(30, 63)(31, 61)(32, 62)(65, 98)(66, 101)(67, 103)(68, 97)(69, 100)(70, 107)(71, 106)(72, 99)(73, 108)(74, 104)(75, 105)(76, 102)(77, 113)(78, 114)(79, 115)(80, 116)(81, 110)(82, 109)(83, 112)(84, 111)(85, 121)(86, 122)(87, 123)(88, 124)(89, 118)(90, 117)(91, 120)(92, 119)(93, 128)(94, 127)(95, 125)(96, 126)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.431
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^4, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 10, 42)(6, 38, 12, 44)(8, 40, 11, 43)(13, 45, 17, 49)(14, 46, 18, 50)(15, 47, 19, 51)(16, 48, 20, 52)(21, 53, 25, 57)(22, 54, 26, 58)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 72, 104, 68, 100)(66, 98, 69, 101, 75, 107, 70, 102)(71, 103, 77, 109, 73, 105, 78, 110)(74, 106, 79, 111, 76, 108, 80, 112)(81, 113, 85, 117, 82, 114, 86, 118)(83, 115, 87, 119, 84, 116, 88, 120)(89, 121, 93, 125, 90, 122, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 10, 42)(6, 38, 11, 43)(8, 40, 12, 44)(13, 45, 17, 49)(14, 46, 18, 50)(15, 47, 19, 51)(16, 48, 20, 52)(21, 53, 25, 57)(22, 54, 26, 58)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 68, 100, 69, 101)(66, 98, 70, 102, 71, 103, 72, 104)(73, 105, 77, 109, 74, 106, 78, 110)(75, 107, 79, 111, 76, 108, 80, 112)(81, 113, 85, 117, 82, 114, 86, 118)(83, 115, 87, 119, 84, 116, 88, 120)(89, 121, 93, 125, 90, 122, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 69)(4, 65)(5, 67)(6, 72)(7, 66)(8, 70)(9, 74)(10, 73)(11, 76)(12, 75)(13, 78)(14, 77)(15, 80)(16, 79)(17, 82)(18, 81)(19, 84)(20, 83)(21, 86)(22, 85)(23, 88)(24, 87)(25, 90)(26, 89)(27, 92)(28, 91)(29, 94)(30, 93)(31, 96)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^4, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 15, 47)(6, 38, 17, 49)(7, 39, 20, 52)(8, 40, 23, 55)(10, 42, 19, 51)(11, 43, 18, 50)(13, 45, 24, 56)(14, 46, 22, 54)(16, 48, 21, 53)(25, 57, 29, 61)(26, 58, 32, 64)(27, 59, 31, 63)(28, 60, 30, 62)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 77, 109)(69, 101, 80, 112)(71, 103, 85, 117)(72, 104, 88, 120)(73, 105, 89, 121)(74, 106, 87, 119)(75, 107, 84, 116)(76, 108, 83, 115)(78, 110, 90, 122)(79, 111, 82, 114)(81, 113, 93, 125)(86, 118, 94, 126)(91, 123, 96, 128)(92, 124, 95, 127)
	L = (1, 68)(2, 71)(3, 74)(4, 78)(5, 65)(6, 82)(7, 86)(8, 66)(9, 85)(10, 90)(11, 67)(12, 89)(13, 92)(14, 69)(15, 91)(16, 81)(17, 77)(18, 94)(19, 70)(20, 93)(21, 96)(22, 72)(23, 95)(24, 73)(25, 79)(26, 75)(27, 76)(28, 80)(29, 87)(30, 83)(31, 84)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.453
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C2) : C2) (small group id <32, 22>)
Aut   = C2 x ((C2 x C2 x C2 x C2) : C2) (small group id <64, 202>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (Y2^-2 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 14, 46)(8, 40, 18, 50)(10, 42, 15, 47)(11, 43, 20, 52)(12, 44, 23, 55)(16, 48, 25, 57)(17, 49, 28, 60)(19, 51, 24, 56)(21, 53, 26, 58)(22, 54, 27, 59)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 79, 111, 72, 104)(68, 100, 75, 107, 86, 118, 76, 108)(71, 103, 80, 112, 91, 123, 81, 113)(73, 105, 83, 115, 77, 109, 85, 117)(78, 110, 88, 120, 82, 114, 90, 122)(84, 116, 93, 125, 87, 119, 94, 126)(89, 121, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 80)(7, 66)(8, 81)(9, 84)(10, 86)(11, 67)(12, 69)(13, 87)(14, 89)(15, 91)(16, 70)(17, 72)(18, 92)(19, 93)(20, 73)(21, 94)(22, 74)(23, 77)(24, 95)(25, 78)(26, 96)(27, 79)(28, 82)(29, 83)(30, 85)(31, 88)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C2) : C2) (small group id <32, 22>)
Aut   = C2 x ((C2 x C2 x C2 x C2) : C2) (small group id <64, 202>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y2^4, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 14, 46)(10, 42, 15, 47)(11, 43, 16, 48)(12, 44, 17, 49)(13, 45, 18, 50)(19, 51, 24, 56)(20, 52, 25, 57)(21, 53, 26, 58)(22, 54, 27, 59)(23, 55, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 70, 102, 78, 110, 72, 104)(68, 100, 75, 107, 83, 115, 76, 108)(71, 103, 80, 112, 88, 120, 81, 113)(74, 106, 84, 116, 77, 109, 85, 117)(79, 111, 89, 121, 82, 114, 90, 122)(86, 118, 93, 125, 87, 119, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 79)(7, 66)(8, 82)(9, 83)(10, 67)(11, 86)(12, 87)(13, 69)(14, 88)(15, 70)(16, 91)(17, 92)(18, 72)(19, 73)(20, 93)(21, 94)(22, 75)(23, 76)(24, 78)(25, 95)(26, 96)(27, 80)(28, 81)(29, 84)(30, 85)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.442
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
Aut   = C2 x ((C2 x C2 x C2 x C2) : C2) (small group id <64, 202>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (Y2 * Y1)^2, Y2^4, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, (Y3 * Y2)^4, (Y2 * Y3 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 8, 40)(4, 36, 7, 39)(5, 37, 6, 38)(9, 41, 14, 46)(10, 42, 18, 50)(11, 43, 17, 49)(12, 44, 16, 48)(13, 45, 15, 47)(19, 51, 24, 56)(20, 52, 25, 57)(21, 53, 26, 58)(22, 54, 28, 60)(23, 55, 27, 59)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 70, 102, 78, 110, 72, 104)(68, 100, 75, 107, 83, 115, 76, 108)(71, 103, 80, 112, 88, 120, 81, 113)(74, 106, 84, 116, 77, 109, 85, 117)(79, 111, 89, 121, 82, 114, 90, 122)(86, 118, 93, 125, 87, 119, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 79)(7, 66)(8, 82)(9, 83)(10, 67)(11, 86)(12, 87)(13, 69)(14, 88)(15, 70)(16, 91)(17, 92)(18, 72)(19, 73)(20, 93)(21, 94)(22, 75)(23, 76)(24, 78)(25, 95)(26, 96)(27, 80)(28, 81)(29, 84)(30, 85)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C2) : C2) (small group id <32, 22>)
Aut   = C2 x ((C2 x C2 x C2 x C2) : C2) (small group id <64, 202>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2)^4, (Y2^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 14, 46)(6, 38, 16, 48)(8, 40, 21, 53)(10, 42, 17, 49)(11, 43, 19, 51)(12, 44, 18, 50)(13, 45, 22, 54)(15, 47, 20, 52)(23, 55, 28, 60)(24, 56, 29, 61)(25, 57, 30, 62)(26, 58, 31, 63)(27, 59, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 81, 113, 72, 104)(68, 100, 76, 108, 89, 121, 77, 109)(71, 103, 83, 115, 94, 126, 84, 116)(73, 105, 87, 119, 78, 110, 88, 120)(75, 107, 90, 122, 79, 111, 91, 123)(80, 112, 92, 124, 85, 117, 93, 125)(82, 114, 95, 127, 86, 118, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 79)(6, 82)(7, 66)(8, 86)(9, 83)(10, 89)(11, 67)(12, 80)(13, 85)(14, 84)(15, 69)(16, 76)(17, 94)(18, 70)(19, 73)(20, 78)(21, 77)(22, 72)(23, 95)(24, 96)(25, 74)(26, 92)(27, 93)(28, 90)(29, 91)(30, 81)(31, 87)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.440
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
Aut   = C2 x ((C2 x C2 x C2 x C2) : C2) (small group id <64, 202>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, (Y2 * Y3 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * Y1)^4, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 14, 46)(6, 38, 16, 48)(8, 40, 21, 53)(10, 42, 17, 49)(11, 43, 20, 52)(12, 44, 22, 54)(13, 45, 18, 50)(15, 47, 19, 51)(23, 55, 28, 60)(24, 56, 29, 61)(25, 57, 30, 62)(26, 58, 31, 63)(27, 59, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 81, 113, 72, 104)(68, 100, 76, 108, 89, 121, 77, 109)(71, 103, 83, 115, 94, 126, 84, 116)(73, 105, 87, 119, 78, 110, 88, 120)(75, 107, 90, 122, 79, 111, 91, 123)(80, 112, 92, 124, 85, 117, 93, 125)(82, 114, 95, 127, 86, 118, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 79)(6, 82)(7, 66)(8, 86)(9, 84)(10, 89)(11, 67)(12, 85)(13, 80)(14, 83)(15, 69)(16, 77)(17, 94)(18, 70)(19, 78)(20, 73)(21, 76)(22, 72)(23, 96)(24, 95)(25, 74)(26, 93)(27, 92)(28, 91)(29, 90)(30, 81)(31, 88)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = C2 x ((C4 x C2 x C2) : C2) (small group id <64, 203>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, Y3^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 10, 42)(5, 37, 9, 41)(6, 38, 8, 40)(11, 43, 17, 49)(12, 44, 19, 51)(13, 45, 18, 50)(14, 46, 22, 54)(15, 47, 21, 53)(16, 48, 20, 52)(23, 55, 28, 60)(24, 56, 27, 59)(25, 57, 29, 61)(26, 58, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 78, 110, 87, 119, 76, 108)(70, 102, 80, 112, 88, 120, 77, 109)(72, 104, 84, 116, 91, 123, 82, 114)(74, 106, 86, 118, 92, 124, 83, 115)(79, 111, 89, 121, 95, 127, 90, 122)(85, 117, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 78)(6, 65)(7, 82)(8, 85)(9, 84)(10, 66)(11, 87)(12, 89)(13, 67)(14, 90)(15, 70)(16, 69)(17, 91)(18, 93)(19, 71)(20, 94)(21, 74)(22, 73)(23, 95)(24, 75)(25, 77)(26, 80)(27, 96)(28, 81)(29, 83)(30, 86)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.446
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = C2 x ((C4 x C2 x C2) : C2) (small group id <64, 203>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, Y3^4, Y2^4, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y3^-1 * Y1)^2, (Y2 * Y3^-1 * Y1)^2, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 19, 51)(9, 41, 25, 57)(12, 44, 20, 52)(13, 45, 26, 58)(14, 46, 24, 56)(15, 47, 23, 55)(16, 48, 22, 54)(18, 50, 21, 53)(27, 59, 30, 62)(28, 60, 32, 64)(29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 78, 110, 92, 124, 80, 112)(70, 102, 77, 109, 93, 125, 82, 114)(72, 104, 86, 118, 95, 127, 88, 120)(74, 106, 85, 117, 96, 128, 90, 122)(75, 107, 87, 119, 81, 113, 91, 123)(79, 111, 89, 121, 94, 126, 83, 115)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 82)(6, 65)(7, 85)(8, 87)(9, 90)(10, 66)(11, 88)(12, 92)(13, 89)(14, 67)(15, 70)(16, 69)(17, 86)(18, 83)(19, 80)(20, 95)(21, 81)(22, 71)(23, 74)(24, 73)(25, 78)(26, 75)(27, 96)(28, 94)(29, 76)(30, 93)(31, 91)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = C2 x ((C4 x C2 x C2) : C2) (small group id <64, 203>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y3^2 * Y2^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^2 * Y2^-2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1)^2, Y2^2 * Y1 * Y3^-2 * Y1, (Y3^-1 * Y2)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 18, 50)(9, 41, 24, 56)(12, 44, 19, 51)(13, 45, 22, 54)(14, 46, 23, 55)(15, 47, 20, 52)(16, 48, 21, 53)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 79, 111, 70, 102, 80, 112)(72, 104, 86, 118, 74, 106, 87, 119)(75, 107, 89, 121, 81, 113, 90, 122)(77, 109, 91, 123, 78, 110, 92, 124)(82, 114, 93, 125, 88, 120, 94, 126)(84, 116, 95, 127, 85, 117, 96, 128)
	L = (1, 68)(2, 72)(3, 77)(4, 76)(5, 78)(6, 65)(7, 84)(8, 83)(9, 85)(10, 66)(11, 87)(12, 70)(13, 69)(14, 67)(15, 82)(16, 88)(17, 86)(18, 80)(19, 74)(20, 73)(21, 71)(22, 75)(23, 81)(24, 79)(25, 96)(26, 95)(27, 93)(28, 94)(29, 92)(30, 91)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.444
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^-2, Y3^2 * Y2^2, Y2^4, Y3^2 * Y2^-2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, (Y3^-1 * Y2)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 18, 50)(9, 41, 24, 56)(12, 44, 19, 51)(13, 45, 23, 55)(14, 46, 22, 54)(15, 47, 21, 53)(16, 48, 20, 52)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 79, 111, 70, 102, 80, 112)(72, 104, 86, 118, 74, 106, 87, 119)(75, 107, 89, 121, 81, 113, 90, 122)(77, 109, 91, 123, 78, 110, 92, 124)(82, 114, 93, 125, 88, 120, 94, 126)(84, 116, 95, 127, 85, 117, 96, 128)
	L = (1, 68)(2, 72)(3, 77)(4, 76)(5, 78)(6, 65)(7, 84)(8, 83)(9, 85)(10, 66)(11, 86)(12, 70)(13, 69)(14, 67)(15, 88)(16, 82)(17, 87)(18, 79)(19, 74)(20, 73)(21, 71)(22, 81)(23, 75)(24, 80)(25, 95)(26, 96)(27, 94)(28, 93)(29, 91)(30, 92)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.448
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, (Y3 * Y1)^2, Y2^4, Y3^4, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, (Y2^-2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 19, 51)(9, 41, 25, 57)(12, 44, 20, 52)(13, 45, 21, 53)(14, 46, 22, 54)(15, 47, 23, 55)(16, 48, 24, 56)(18, 50, 26, 58)(27, 59, 30, 62)(28, 60, 32, 64)(29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 79, 111, 92, 124, 77, 109)(70, 102, 82, 114, 93, 125, 78, 110)(72, 104, 87, 119, 95, 127, 85, 117)(74, 106, 90, 122, 96, 128, 86, 118)(75, 107, 91, 123, 81, 113, 88, 120)(80, 112, 83, 115, 94, 126, 89, 121)
	L = (1, 68)(2, 72)(3, 77)(4, 80)(5, 79)(6, 65)(7, 85)(8, 88)(9, 87)(10, 66)(11, 86)(12, 92)(13, 83)(14, 67)(15, 89)(16, 70)(17, 90)(18, 69)(19, 78)(20, 95)(21, 75)(22, 71)(23, 81)(24, 74)(25, 82)(26, 73)(27, 96)(28, 94)(29, 76)(30, 93)(31, 91)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.447
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 31>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^2 * Y2^-1, Y3^2 * Y2^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y3^2 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 15, 47)(6, 38, 8, 40)(7, 39, 16, 48)(9, 41, 20, 52)(12, 44, 17, 49)(13, 45, 24, 56)(14, 46, 22, 54)(18, 50, 28, 60)(19, 51, 26, 58)(21, 53, 25, 57)(23, 55, 27, 59)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 78, 110, 70, 102, 77, 109)(72, 104, 83, 115, 74, 106, 82, 114)(75, 107, 85, 117, 79, 111, 87, 119)(80, 112, 89, 121, 84, 116, 91, 123)(86, 118, 94, 126, 88, 120, 93, 125)(90, 122, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 72)(3, 77)(4, 76)(5, 78)(6, 65)(7, 82)(8, 81)(9, 83)(10, 66)(11, 86)(12, 70)(13, 69)(14, 67)(15, 88)(16, 90)(17, 74)(18, 73)(19, 71)(20, 92)(21, 93)(22, 79)(23, 94)(24, 75)(25, 95)(26, 84)(27, 96)(28, 80)(29, 87)(30, 85)(31, 91)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^2 * Y2^2, Y3^2 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 10, 42)(5, 37, 9, 41)(6, 38, 8, 40)(11, 43, 16, 48)(12, 44, 18, 50)(13, 45, 17, 49)(14, 46, 20, 52)(15, 47, 19, 51)(21, 53, 26, 58)(22, 54, 25, 57)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 80, 112, 73, 105)(68, 100, 78, 110, 70, 102, 79, 111)(72, 104, 83, 115, 74, 106, 84, 116)(76, 108, 85, 117, 77, 109, 86, 118)(81, 113, 89, 121, 82, 114, 90, 122)(87, 119, 93, 125, 88, 120, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 75)(5, 77)(6, 65)(7, 81)(8, 80)(9, 82)(10, 66)(11, 70)(12, 69)(13, 67)(14, 87)(15, 88)(16, 74)(17, 73)(18, 71)(19, 91)(20, 92)(21, 93)(22, 94)(23, 79)(24, 78)(25, 95)(26, 96)(27, 84)(28, 83)(29, 86)(30, 85)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.452
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^4, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 10, 42)(5, 37, 9, 41)(6, 38, 8, 40)(11, 43, 17, 49)(12, 44, 19, 51)(13, 45, 18, 50)(14, 46, 20, 52)(15, 47, 22, 54)(16, 48, 21, 53)(23, 55, 28, 60)(24, 56, 27, 59)(25, 57, 29, 61)(26, 58, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 77, 109, 87, 119, 79, 111)(70, 102, 76, 108, 88, 120, 80, 112)(72, 104, 83, 115, 91, 123, 85, 117)(74, 106, 82, 114, 92, 124, 86, 118)(78, 110, 89, 121, 95, 127, 90, 122)(84, 116, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 80)(6, 65)(7, 82)(8, 84)(9, 86)(10, 66)(11, 87)(12, 89)(13, 67)(14, 70)(15, 69)(16, 90)(17, 91)(18, 93)(19, 71)(20, 74)(21, 73)(22, 94)(23, 95)(24, 75)(25, 77)(26, 79)(27, 96)(28, 81)(29, 83)(30, 85)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, R^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, (Y3 * Y1)^2, Y3^4, Y2^4, Y3^-2 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 19, 51)(9, 41, 25, 57)(12, 44, 20, 52)(13, 45, 23, 55)(14, 46, 26, 58)(15, 47, 21, 53)(16, 48, 24, 56)(18, 50, 22, 54)(27, 59, 30, 62)(28, 60, 32, 64)(29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 79, 111, 92, 124, 77, 109)(70, 102, 82, 114, 93, 125, 78, 110)(72, 104, 87, 119, 95, 127, 85, 117)(74, 106, 90, 122, 96, 128, 86, 118)(75, 107, 88, 120, 81, 113, 91, 123)(80, 112, 89, 121, 94, 126, 83, 115)
	L = (1, 68)(2, 72)(3, 77)(4, 80)(5, 79)(6, 65)(7, 85)(8, 88)(9, 87)(10, 66)(11, 90)(12, 92)(13, 89)(14, 67)(15, 83)(16, 70)(17, 86)(18, 69)(19, 82)(20, 95)(21, 81)(22, 71)(23, 75)(24, 74)(25, 78)(26, 73)(27, 96)(28, 94)(29, 76)(30, 93)(31, 91)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.450
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^-2, Y2^4, (Y3, Y2^-1), (R * Y3)^2, Y3^2 * Y2^-2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 9, 41)(4, 36, 17, 49, 21, 53, 12, 44)(6, 38, 19, 51, 22, 54, 11, 43)(7, 39, 18, 50, 23, 55, 10, 42)(14, 46, 24, 56, 30, 62, 27, 59)(15, 47, 26, 58, 31, 63, 29, 61)(16, 48, 25, 57, 32, 64, 28, 60)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 79, 111, 71, 103, 80, 112)(69, 101, 77, 109, 91, 123, 83, 115)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 89, 121, 76, 108, 90, 122)(81, 113, 93, 125, 82, 114, 92, 124)(85, 117, 95, 127, 87, 119, 96, 128)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 82)(6, 80)(7, 65)(8, 85)(9, 89)(10, 88)(11, 90)(12, 66)(13, 92)(14, 71)(15, 70)(16, 67)(17, 69)(18, 91)(19, 93)(20, 95)(21, 94)(22, 96)(23, 72)(24, 76)(25, 75)(26, 73)(27, 81)(28, 83)(29, 77)(30, 87)(31, 86)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.438
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.454 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, (Y3 * Y2)^4, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 11, 43)(6, 38, 13, 45)(8, 40, 16, 48)(10, 42, 19, 51)(12, 44, 21, 53)(14, 46, 24, 56)(15, 47, 20, 52)(17, 49, 26, 58)(18, 50, 23, 55)(22, 54, 29, 61)(25, 57, 30, 62)(27, 59, 28, 60)(31, 63, 32, 64)(65, 97, 67, 99)(66, 98, 69, 101)(68, 100, 74, 106)(70, 102, 78, 110)(71, 103, 79, 111)(72, 104, 81, 113)(73, 105, 80, 112)(75, 107, 84, 116)(76, 108, 86, 118)(77, 109, 85, 117)(82, 114, 91, 123)(83, 115, 90, 122)(87, 119, 94, 126)(88, 120, 93, 125)(89, 121, 95, 127)(92, 124, 96, 128)
	L = (1, 68)(2, 70)(3, 72)(4, 65)(5, 76)(6, 66)(7, 78)(8, 67)(9, 82)(10, 75)(11, 74)(12, 69)(13, 87)(14, 71)(15, 86)(16, 89)(17, 84)(18, 73)(19, 91)(20, 81)(21, 92)(22, 79)(23, 77)(24, 94)(25, 80)(26, 95)(27, 83)(28, 85)(29, 96)(30, 88)(31, 90)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.460
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, Y3^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 10, 42)(5, 37, 9, 41)(6, 38, 8, 40)(11, 43, 17, 49)(12, 44, 19, 51)(13, 45, 18, 50)(14, 46, 20, 52)(15, 47, 22, 54)(16, 48, 21, 53)(23, 55, 28, 60)(24, 56, 27, 59)(25, 57, 29, 61)(26, 58, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 76, 108, 87, 119, 79, 111)(70, 102, 77, 109, 88, 120, 80, 112)(72, 104, 82, 114, 91, 123, 85, 117)(74, 106, 83, 115, 92, 124, 86, 118)(78, 110, 89, 121, 95, 127, 90, 122)(84, 116, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 82)(8, 84)(9, 85)(10, 66)(11, 87)(12, 89)(13, 67)(14, 70)(15, 90)(16, 69)(17, 91)(18, 93)(19, 71)(20, 74)(21, 94)(22, 73)(23, 95)(24, 75)(25, 77)(26, 80)(27, 96)(28, 81)(29, 83)(30, 86)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.459
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^4, Y3^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 10, 42)(5, 37, 7, 39)(6, 38, 8, 40)(11, 43, 17, 49)(12, 44, 22, 54)(13, 45, 20, 52)(14, 46, 19, 51)(15, 47, 21, 53)(16, 48, 18, 50)(23, 55, 28, 60)(24, 56, 27, 59)(25, 57, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 78, 110, 87, 119, 76, 108)(70, 102, 80, 112, 88, 120, 77, 109)(72, 104, 84, 116, 91, 123, 82, 114)(74, 106, 86, 118, 92, 124, 83, 115)(79, 111, 89, 121, 95, 127, 90, 122)(85, 117, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 78)(6, 65)(7, 82)(8, 85)(9, 84)(10, 66)(11, 87)(12, 89)(13, 67)(14, 90)(15, 70)(16, 69)(17, 91)(18, 93)(19, 71)(20, 94)(21, 74)(22, 73)(23, 95)(24, 75)(25, 77)(26, 80)(27, 96)(28, 81)(29, 83)(30, 86)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.458
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y3^4, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1, (Y2^-2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 19, 51)(9, 41, 25, 57)(12, 44, 20, 52)(13, 45, 21, 53)(14, 46, 22, 54)(15, 47, 23, 55)(16, 48, 24, 56)(18, 50, 26, 58)(27, 59, 30, 62)(28, 60, 32, 64)(29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 78, 110, 92, 124, 80, 112)(70, 102, 77, 109, 93, 125, 82, 114)(72, 104, 86, 118, 95, 127, 88, 120)(74, 106, 85, 117, 96, 128, 90, 122)(75, 107, 91, 123, 81, 113, 87, 119)(79, 111, 83, 115, 94, 126, 89, 121)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 82)(6, 65)(7, 85)(8, 87)(9, 90)(10, 66)(11, 86)(12, 92)(13, 83)(14, 67)(15, 70)(16, 69)(17, 88)(18, 89)(19, 78)(20, 95)(21, 75)(22, 71)(23, 74)(24, 73)(25, 80)(26, 81)(27, 96)(28, 94)(29, 76)(30, 93)(31, 91)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^2 * Y2^2, Y3^2 * Y2^-2, (R * Y3)^2, (Y2^-1 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 10, 42)(5, 37, 7, 39)(6, 38, 8, 40)(11, 43, 16, 48)(12, 44, 17, 49)(13, 45, 18, 50)(14, 46, 19, 51)(15, 47, 20, 52)(21, 53, 26, 58)(22, 54, 25, 57)(23, 55, 28, 60)(24, 56, 27, 59)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 80, 112, 73, 105)(68, 100, 78, 110, 70, 102, 79, 111)(72, 104, 83, 115, 74, 106, 84, 116)(76, 108, 85, 117, 77, 109, 86, 118)(81, 113, 89, 121, 82, 114, 90, 122)(87, 119, 93, 125, 88, 120, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 75)(5, 77)(6, 65)(7, 81)(8, 80)(9, 82)(10, 66)(11, 70)(12, 69)(13, 67)(14, 87)(15, 88)(16, 74)(17, 73)(18, 71)(19, 91)(20, 92)(21, 93)(22, 94)(23, 79)(24, 78)(25, 95)(26, 96)(27, 84)(28, 83)(29, 86)(30, 85)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.456
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^4, (R * Y1)^2, Y2^4, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, (Y2^-2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 19, 51)(9, 41, 25, 57)(12, 44, 20, 52)(13, 45, 21, 53)(14, 46, 22, 54)(15, 47, 23, 55)(16, 48, 24, 56)(18, 50, 26, 58)(27, 59, 30, 62)(28, 60, 32, 64)(29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 77, 109, 92, 124, 80, 112)(70, 102, 78, 110, 93, 125, 82, 114)(72, 104, 85, 117, 95, 127, 88, 120)(74, 106, 86, 118, 96, 128, 90, 122)(75, 107, 91, 123, 81, 113, 87, 119)(79, 111, 83, 115, 94, 126, 89, 121)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 85)(8, 87)(9, 88)(10, 66)(11, 86)(12, 92)(13, 83)(14, 67)(15, 70)(16, 89)(17, 90)(18, 69)(19, 78)(20, 95)(21, 75)(22, 71)(23, 74)(24, 81)(25, 82)(26, 73)(27, 96)(28, 94)(29, 76)(30, 93)(31, 91)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.455
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y3)^2, Y1^4, Y2^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 17, 49, 13, 45)(4, 36, 14, 46, 18, 50, 9, 41)(6, 38, 8, 40, 19, 51, 16, 48)(11, 43, 20, 52, 27, 59, 24, 56)(12, 44, 25, 57, 28, 60, 22, 54)(15, 47, 26, 58, 29, 61, 21, 53)(23, 55, 31, 63, 32, 64, 30, 62)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 84, 116, 74, 106)(68, 100, 79, 111, 87, 119, 76, 108)(69, 101, 80, 112, 88, 120, 77, 109)(71, 103, 81, 113, 91, 123, 83, 115)(73, 105, 86, 118, 94, 126, 85, 117)(78, 110, 89, 121, 95, 127, 90, 122)(82, 114, 93, 125, 96, 128, 92, 124)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 82)(8, 85)(9, 66)(10, 86)(11, 87)(12, 67)(13, 89)(14, 69)(15, 70)(16, 90)(17, 92)(18, 71)(19, 93)(20, 94)(21, 72)(22, 74)(23, 75)(24, 95)(25, 77)(26, 80)(27, 96)(28, 81)(29, 83)(30, 84)(31, 88)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.454
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 31>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (Y2^-1, Y3^-1), Y2^4, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3^4, Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y2^-2 * Y1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 19, 51)(9, 41, 25, 57)(12, 44, 20, 52)(13, 45, 24, 56)(14, 46, 26, 58)(15, 47, 23, 55)(16, 48, 21, 53)(18, 50, 22, 54)(27, 59, 30, 62)(28, 60, 32, 64)(29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 77, 109, 92, 124, 80, 112)(70, 102, 78, 110, 93, 125, 82, 114)(72, 104, 85, 117, 95, 127, 88, 120)(74, 106, 86, 118, 96, 128, 90, 122)(75, 107, 87, 119, 81, 113, 91, 123)(79, 111, 89, 121, 94, 126, 83, 115)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 85)(8, 87)(9, 88)(10, 66)(11, 90)(12, 92)(13, 89)(14, 67)(15, 70)(16, 83)(17, 86)(18, 69)(19, 82)(20, 95)(21, 81)(22, 71)(23, 74)(24, 75)(25, 78)(26, 73)(27, 96)(28, 94)(29, 76)(30, 93)(31, 91)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 10, 42)(5, 37, 7, 39)(6, 38, 8, 40)(11, 43, 17, 49)(12, 44, 21, 53)(13, 45, 22, 54)(14, 46, 20, 52)(15, 47, 18, 50)(16, 48, 19, 51)(23, 55, 28, 60)(24, 56, 27, 59)(25, 57, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 77, 109, 87, 119, 79, 111)(70, 102, 76, 108, 88, 120, 80, 112)(72, 104, 83, 115, 91, 123, 85, 117)(74, 106, 82, 114, 92, 124, 86, 118)(78, 110, 89, 121, 95, 127, 90, 122)(84, 116, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 80)(6, 65)(7, 82)(8, 84)(9, 86)(10, 66)(11, 87)(12, 89)(13, 67)(14, 70)(15, 69)(16, 90)(17, 91)(18, 93)(19, 71)(20, 74)(21, 73)(22, 94)(23, 95)(24, 75)(25, 77)(26, 79)(27, 96)(28, 81)(29, 83)(30, 85)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 34>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 211>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^4, Y3^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 10, 42)(5, 37, 7, 39)(6, 38, 8, 40)(11, 43, 17, 49)(12, 44, 22, 54)(13, 45, 21, 53)(14, 46, 20, 52)(15, 47, 19, 51)(16, 48, 18, 50)(23, 55, 28, 60)(24, 56, 27, 59)(25, 57, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 76, 108, 87, 119, 79, 111)(70, 102, 77, 109, 88, 120, 80, 112)(72, 104, 82, 114, 91, 123, 85, 117)(74, 106, 83, 115, 92, 124, 86, 118)(78, 110, 89, 121, 95, 127, 90, 122)(84, 116, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 82)(8, 84)(9, 85)(10, 66)(11, 87)(12, 89)(13, 67)(14, 70)(15, 90)(16, 69)(17, 91)(18, 93)(19, 71)(20, 74)(21, 94)(22, 73)(23, 95)(24, 75)(25, 77)(26, 80)(27, 96)(28, 81)(29, 83)(30, 86)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 253>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2^-1 * Y3, Y2^4, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y3^3 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2 * Y3^-2 * Y1, Y2^-1 * Y3^2 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 20, 52)(9, 41, 26, 58)(12, 44, 21, 53)(13, 45, 22, 54)(14, 46, 25, 57)(15, 47, 28, 60)(16, 48, 23, 55)(18, 50, 27, 59)(19, 51, 24, 56)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 85, 117, 73, 105)(68, 100, 78, 110, 93, 125, 80, 112)(70, 102, 77, 109, 94, 126, 82, 114)(72, 104, 87, 119, 95, 127, 89, 121)(74, 106, 86, 118, 96, 128, 91, 123)(75, 107, 88, 120, 81, 113, 92, 124)(79, 111, 90, 122, 83, 115, 84, 116)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 82)(6, 65)(7, 86)(8, 88)(9, 91)(10, 66)(11, 89)(12, 93)(13, 84)(14, 67)(15, 94)(16, 69)(17, 87)(18, 90)(19, 70)(20, 80)(21, 95)(22, 75)(23, 71)(24, 96)(25, 73)(26, 78)(27, 81)(28, 74)(29, 83)(30, 76)(31, 92)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (Y2^-1 * R)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 14, 46)(8, 40, 18, 50)(10, 42, 15, 47)(11, 43, 20, 52)(12, 44, 23, 55)(16, 48, 25, 57)(17, 49, 28, 60)(19, 51, 26, 58)(21, 53, 24, 56)(22, 54, 27, 59)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 79, 111, 72, 104)(68, 100, 75, 107, 86, 118, 76, 108)(71, 103, 80, 112, 91, 123, 81, 113)(73, 105, 83, 115, 77, 109, 85, 117)(78, 110, 88, 120, 82, 114, 90, 122)(84, 116, 93, 125, 87, 119, 94, 126)(89, 121, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 80)(7, 66)(8, 81)(9, 84)(10, 86)(11, 67)(12, 69)(13, 87)(14, 89)(15, 91)(16, 70)(17, 72)(18, 92)(19, 93)(20, 73)(21, 94)(22, 74)(23, 77)(24, 95)(25, 78)(26, 96)(27, 79)(28, 82)(29, 83)(30, 85)(31, 88)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2 * Y3, Y2^-1 * Y3^2 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 15, 47)(6, 38, 8, 40)(7, 39, 16, 48)(9, 41, 20, 52)(12, 44, 17, 49)(13, 45, 24, 56)(14, 46, 22, 54)(18, 50, 28, 60)(19, 51, 26, 58)(21, 53, 27, 59)(23, 55, 25, 57)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 78, 110, 70, 102, 77, 109)(72, 104, 83, 115, 74, 106, 82, 114)(75, 107, 85, 117, 79, 111, 87, 119)(80, 112, 89, 121, 84, 116, 91, 123)(86, 118, 94, 126, 88, 120, 93, 125)(90, 122, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 72)(3, 77)(4, 76)(5, 78)(6, 65)(7, 82)(8, 81)(9, 83)(10, 66)(11, 86)(12, 70)(13, 69)(14, 67)(15, 88)(16, 90)(17, 74)(18, 73)(19, 71)(20, 92)(21, 93)(22, 79)(23, 94)(24, 75)(25, 95)(26, 84)(27, 96)(28, 80)(29, 87)(30, 85)(31, 91)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^4, Y1 * Y3^2 * Y2^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 20, 52)(9, 41, 26, 58)(12, 44, 21, 53)(13, 45, 27, 59)(14, 46, 23, 55)(15, 47, 28, 60)(16, 48, 25, 57)(18, 50, 22, 54)(19, 51, 24, 56)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 85, 117, 73, 105)(68, 100, 78, 110, 93, 125, 80, 112)(70, 102, 77, 109, 94, 126, 82, 114)(72, 104, 87, 119, 95, 127, 89, 121)(74, 106, 86, 118, 96, 128, 91, 123)(75, 107, 92, 124, 81, 113, 88, 120)(79, 111, 84, 116, 83, 115, 90, 122)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 82)(6, 65)(7, 86)(8, 88)(9, 91)(10, 66)(11, 87)(12, 93)(13, 90)(14, 67)(15, 94)(16, 69)(17, 89)(18, 84)(19, 70)(20, 78)(21, 95)(22, 81)(23, 71)(24, 96)(25, 73)(26, 80)(27, 75)(28, 74)(29, 83)(30, 76)(31, 92)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 64 f = 24
	degree seq :: [ 4^16, 8^8 ]

E9.468 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 20, 12, 5)(2, 7, 15, 23, 30, 24, 16, 8)(4, 10, 18, 26, 31, 27, 19, 11)(6, 13, 21, 28, 32, 29, 22, 14)(33, 34, 38, 36)(35, 39, 45, 42)(37, 40, 46, 43)(41, 47, 53, 50)(44, 48, 54, 51)(49, 55, 60, 58)(52, 56, 61, 59)(57, 62, 64, 63)
	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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.469
Transitivity :: ET+
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.469 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 9, 41, 17, 49, 25, 57, 20, 52, 12, 44, 5, 37)(2, 34, 7, 39, 15, 47, 23, 55, 30, 62, 24, 56, 16, 48, 8, 40)(4, 36, 10, 42, 18, 50, 26, 58, 31, 63, 27, 59, 19, 51, 11, 43)(6, 38, 13, 45, 21, 53, 28, 60, 32, 64, 29, 61, 22, 54, 14, 46)
	L = (1, 34)(2, 38)(3, 39)(4, 33)(5, 40)(6, 36)(7, 45)(8, 46)(9, 47)(10, 35)(11, 37)(12, 48)(13, 42)(14, 43)(15, 53)(16, 54)(17, 55)(18, 41)(19, 44)(20, 56)(21, 50)(22, 51)(23, 60)(24, 61)(25, 62)(26, 49)(27, 52)(28, 58)(29, 59)(30, 64)(31, 57)(32, 63)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.468
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^4, (Y2, Y1^-1), Y3^8, Y2^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 7, 39, 13, 45, 10, 42)(5, 37, 8, 40, 14, 46, 11, 43)(9, 41, 15, 47, 21, 53, 18, 50)(12, 44, 16, 48, 22, 54, 19, 51)(17, 49, 23, 55, 28, 60, 26, 58)(20, 52, 24, 56, 29, 61, 27, 59)(25, 57, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 74, 106, 82, 114, 90, 122, 95, 127, 91, 123, 83, 115, 75, 107)(70, 102, 77, 109, 85, 117, 92, 124, 96, 128, 93, 125, 86, 118, 78, 110)
	L = (1, 68)(2, 65)(3, 74)(4, 70)(5, 75)(6, 66)(7, 67)(8, 69)(9, 82)(10, 77)(11, 78)(12, 83)(13, 71)(14, 72)(15, 73)(16, 76)(17, 90)(18, 85)(19, 86)(20, 91)(21, 79)(22, 80)(23, 81)(24, 84)(25, 95)(26, 92)(27, 93)(28, 87)(29, 88)(30, 89)(31, 96)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E9.471
Graph:: bipartite
	v = 12 e = 64 f = 36
	degree seq :: [ 8^8, 16^4 ]

E9.471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-8, (Y3 * Y2^-1)^4, Y1^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 13, 45, 21, 53, 19, 51, 11, 43, 4, 36)(3, 35, 7, 39, 14, 46, 22, 54, 28, 60, 26, 58, 18, 50, 10, 42)(5, 37, 8, 40, 15, 47, 23, 55, 29, 61, 27, 59, 20, 52, 12, 44)(9, 41, 16, 48, 24, 56, 30, 62, 32, 64, 31, 63, 25, 57, 17, 49)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 73)(4, 74)(5, 65)(6, 78)(7, 80)(8, 66)(9, 69)(10, 81)(11, 82)(12, 68)(13, 86)(14, 88)(15, 70)(16, 72)(17, 76)(18, 89)(19, 90)(20, 75)(21, 92)(22, 94)(23, 77)(24, 79)(25, 84)(26, 95)(27, 83)(28, 96)(29, 85)(30, 87)(31, 91)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.470
Graph:: simple bipartite
	v = 36 e = 64 f = 12
	degree seq :: [ 2^32, 16^4 ]

E9.472 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^2 * T1^-1, T2^-1 * T1 * T2^-3 * T1^-1, T2^3 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2, (T1^-1, T2)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 23, 32, 21, 16, 5)(2, 7, 20, 14, 25, 9, 24, 8)(4, 12, 26, 15, 28, 11, 27, 13)(6, 17, 29, 22, 31, 19, 30, 18)(33, 34, 38, 36)(35, 41, 49, 43)(37, 46, 50, 47)(39, 51, 44, 53)(40, 54, 45, 55)(42, 52, 61, 58)(48, 56, 62, 59)(57, 63, 60, 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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.473
Transitivity :: ET+
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.473 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^2 * T1^-1, T2^-1 * T1 * T2^-3 * T1^-1, T2^3 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2, (T1^-1, T2)^2 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 23, 55, 32, 64, 21, 53, 16, 48, 5, 37)(2, 34, 7, 39, 20, 52, 14, 46, 25, 57, 9, 41, 24, 56, 8, 40)(4, 36, 12, 44, 26, 58, 15, 47, 28, 60, 11, 43, 27, 59, 13, 45)(6, 38, 17, 49, 29, 61, 22, 54, 31, 63, 19, 51, 30, 62, 18, 50)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 51)(8, 54)(9, 49)(10, 52)(11, 35)(12, 53)(13, 55)(14, 50)(15, 37)(16, 56)(17, 43)(18, 47)(19, 44)(20, 61)(21, 39)(22, 45)(23, 40)(24, 62)(25, 63)(26, 42)(27, 48)(28, 64)(29, 58)(30, 59)(31, 60)(32, 57)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.472
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1, Y3^-1 * Y1^-1, Y1^-2 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2^3 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^3 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3 * Y2^-3 * Y3^-1 * Y2^-1, (Y1, Y2)^2, (Y3^2 * Y2^2)^4 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 20, 52, 29, 61, 26, 58)(16, 48, 24, 56, 30, 62, 27, 59)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 87, 119, 96, 128, 85, 117, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 78, 110, 89, 121, 73, 105, 88, 120, 72, 104)(68, 100, 76, 108, 90, 122, 79, 111, 92, 124, 75, 107, 91, 123, 77, 109)(70, 102, 81, 113, 93, 125, 86, 118, 95, 127, 83, 115, 94, 126, 82, 114)
	L = (1, 68)(2, 65)(3, 75)(4, 70)(5, 79)(6, 66)(7, 85)(8, 87)(9, 67)(10, 90)(11, 81)(12, 83)(13, 86)(14, 69)(15, 82)(16, 91)(17, 73)(18, 78)(19, 71)(20, 74)(21, 76)(22, 72)(23, 77)(24, 80)(25, 96)(26, 93)(27, 94)(28, 95)(29, 84)(30, 88)(31, 89)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E9.475
Graph:: bipartite
	v = 12 e = 64 f = 36
	degree seq :: [ 8^8, 16^4 ]

E9.475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-3 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3^-1 * Y1^-2, (Y3 * Y2^-1)^4, (Y3^-2 * Y1^2)^4 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 17, 49, 29, 61, 26, 58, 13, 45, 4, 36)(3, 35, 9, 41, 18, 50, 12, 44, 22, 54, 7, 39, 20, 52, 11, 43)(5, 37, 15, 47, 19, 51, 14, 46, 24, 56, 8, 40, 23, 55, 16, 48)(10, 42, 21, 53, 30, 62, 28, 60, 32, 64, 25, 57, 31, 63, 27, 59)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 82)(7, 85)(8, 66)(9, 89)(10, 69)(11, 92)(12, 91)(13, 84)(14, 68)(15, 90)(16, 81)(17, 75)(18, 94)(19, 70)(20, 95)(21, 72)(22, 96)(23, 77)(24, 93)(25, 79)(26, 73)(27, 78)(28, 80)(29, 86)(30, 83)(31, 87)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.474
Graph:: simple bipartite
	v = 36 e = 64 f = 12
	degree seq :: [ 2^32, 16^4 ]

E9.476 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T1^-2 * T2^-1 * T1^-2 * T2, T2^4 * T1^2, (T2^-2 * T1^-1)^2, (T2^-2 * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1^-1, T2^-1, T1^-1) ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 15, 28, 11, 27, 14, 26)(19, 29, 23, 32, 21, 31, 22, 30)(33, 34, 38, 36)(35, 41, 49, 43)(37, 46, 50, 47)(39, 51, 44, 53)(40, 54, 45, 55)(42, 52, 48, 56)(57, 61, 59, 63)(58, 62, 60, 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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.477
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.477 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T1^-2 * T2^-1 * T1^-2 * T2, T2^4 * T1^2, (T2^-2 * T1^-1)^2, (T2^-2 * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1^-1, T2^-1, T1^-1) ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 20, 52, 13, 45, 4, 36, 12, 44, 24, 56, 8, 40)(9, 41, 25, 57, 15, 47, 28, 60, 11, 43, 27, 59, 14, 46, 26, 58)(19, 51, 29, 61, 23, 55, 32, 64, 21, 53, 31, 63, 22, 54, 30, 62)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 51)(8, 54)(9, 49)(10, 52)(11, 35)(12, 53)(13, 55)(14, 50)(15, 37)(16, 56)(17, 43)(18, 47)(19, 44)(20, 48)(21, 39)(22, 45)(23, 40)(24, 42)(25, 61)(26, 62)(27, 63)(28, 64)(29, 59)(30, 60)(31, 57)(32, 58)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.476
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^2 * Y1^-1 * Y2, Y2^2 * Y3 * Y1^-1 * Y2^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 20, 52, 16, 48, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 82, 114, 70, 102, 81, 113, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 77, 109, 68, 100, 76, 108, 88, 120, 72, 104)(73, 105, 89, 121, 79, 111, 92, 124, 75, 107, 91, 123, 78, 110, 90, 122)(83, 115, 93, 125, 87, 119, 96, 128, 85, 117, 95, 127, 86, 118, 94, 126)
	L = (1, 68)(2, 65)(3, 75)(4, 70)(5, 79)(6, 66)(7, 85)(8, 87)(9, 67)(10, 88)(11, 81)(12, 83)(13, 86)(14, 69)(15, 82)(16, 84)(17, 73)(18, 78)(19, 71)(20, 74)(21, 76)(22, 72)(23, 77)(24, 80)(25, 95)(26, 96)(27, 93)(28, 94)(29, 89)(30, 90)(31, 91)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E9.479
Graph:: bipartite
	v = 12 e = 64 f = 36
	degree seq :: [ 8^8, 16^4 ]

E9.479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, Y3^4, (R * Y1)^2, Y1^-3 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-2 * Y3^-1)^2, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^3 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 17, 49, 10, 42, 21, 53, 13, 45, 4, 36)(3, 35, 9, 41, 18, 50, 16, 48, 5, 37, 15, 47, 19, 51, 11, 43)(7, 39, 20, 52, 14, 46, 24, 56, 8, 40, 23, 55, 12, 44, 22, 54)(25, 57, 29, 61, 28, 60, 32, 64, 26, 58, 30, 62, 27, 59, 31, 63)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 82)(7, 85)(8, 66)(9, 89)(10, 69)(11, 91)(12, 81)(13, 83)(14, 68)(15, 90)(16, 92)(17, 78)(18, 77)(19, 70)(20, 93)(21, 72)(22, 95)(23, 94)(24, 96)(25, 79)(26, 73)(27, 80)(28, 75)(29, 87)(30, 84)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.478
Graph:: simple bipartite
	v = 36 e = 64 f = 12
	degree seq :: [ 2^32, 16^4 ]

E9.480 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^4 * T1^2, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T2^-2 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 14, 28, 11, 27, 15, 26)(19, 29, 22, 32, 21, 31, 23, 30)(33, 34, 38, 36)(35, 41, 49, 43)(37, 46, 50, 47)(39, 51, 44, 53)(40, 54, 45, 55)(42, 56, 48, 52)(57, 63, 59, 61)(58, 62, 60, 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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.481
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.481 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^4 * T1^2, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T2^-2 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 20, 52, 13, 45, 4, 36, 12, 44, 24, 56, 8, 40)(9, 41, 25, 57, 14, 46, 28, 60, 11, 43, 27, 59, 15, 47, 26, 58)(19, 51, 29, 61, 22, 54, 32, 64, 21, 53, 31, 63, 23, 55, 30, 62)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 51)(8, 54)(9, 49)(10, 56)(11, 35)(12, 53)(13, 55)(14, 50)(15, 37)(16, 52)(17, 43)(18, 47)(19, 44)(20, 42)(21, 39)(22, 45)(23, 40)(24, 48)(25, 63)(26, 62)(27, 61)(28, 64)(29, 57)(30, 60)(31, 59)(32, 58)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.480
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3, Y3 * Y1, (Y3 * Y1^-1)^2, Y3^-2 * Y1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2^-3 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 24, 56, 16, 48, 20, 52)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 82, 114, 70, 102, 81, 113, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 77, 109, 68, 100, 76, 108, 88, 120, 72, 104)(73, 105, 89, 121, 78, 110, 92, 124, 75, 107, 91, 123, 79, 111, 90, 122)(83, 115, 93, 125, 86, 118, 96, 128, 85, 117, 95, 127, 87, 119, 94, 126)
	L = (1, 68)(2, 65)(3, 75)(4, 70)(5, 79)(6, 66)(7, 85)(8, 87)(9, 67)(10, 84)(11, 81)(12, 83)(13, 86)(14, 69)(15, 82)(16, 88)(17, 73)(18, 78)(19, 71)(20, 80)(21, 76)(22, 72)(23, 77)(24, 74)(25, 93)(26, 96)(27, 95)(28, 94)(29, 91)(30, 90)(31, 89)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E9.483
Graph:: bipartite
	v = 12 e = 64 f = 36
	degree seq :: [ 8^8, 16^4 ]

E9.483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1^-3 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 17, 49, 10, 42, 21, 53, 13, 45, 4, 36)(3, 35, 9, 41, 19, 51, 16, 48, 5, 37, 15, 47, 18, 50, 11, 43)(7, 39, 20, 52, 12, 44, 24, 56, 8, 40, 23, 55, 14, 46, 22, 54)(25, 57, 30, 62, 27, 59, 32, 64, 26, 58, 29, 61, 28, 60, 31, 63)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 82)(7, 85)(8, 66)(9, 89)(10, 69)(11, 91)(12, 81)(13, 83)(14, 68)(15, 90)(16, 92)(17, 78)(18, 77)(19, 70)(20, 93)(21, 72)(22, 95)(23, 94)(24, 96)(25, 79)(26, 73)(27, 80)(28, 75)(29, 87)(30, 84)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.482
Graph:: simple bipartite
	v = 36 e = 64 f = 12
	degree seq :: [ 2^32, 16^4 ]

E9.484 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 26, 20, 12, 5)(2, 7, 15, 23, 30, 24, 16, 8)(4, 9, 17, 25, 31, 27, 19, 11)(6, 13, 21, 28, 32, 29, 22, 14)(33, 34, 38, 36)(35, 41, 45, 39)(37, 43, 46, 40)(42, 47, 53, 49)(44, 48, 54, 51)(50, 57, 60, 55)(52, 59, 61, 56)(58, 62, 64, 63)
	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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.486
Transitivity :: ET+
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.485 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^-2, T2 * T1 * T2^3 * T1 ]
Map:: non-degenerate
	R = (1, 3, 10, 22, 31, 19, 16, 5)(2, 7, 20, 15, 28, 11, 24, 8)(4, 12, 27, 14, 26, 9, 25, 13)(6, 17, 29, 23, 32, 21, 30, 18)(33, 34, 38, 36)(35, 41, 49, 43)(37, 46, 50, 47)(39, 51, 44, 53)(40, 54, 45, 55)(42, 52, 61, 59)(48, 56, 62, 57)(58, 63, 60, 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 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.487
Transitivity :: ET+
Graph:: simple bipartite
	v = 12 e = 32 f = 4
	degree seq :: [ 4^8, 8^4 ]

E9.486 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T2^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 18, 50, 26, 58, 20, 52, 12, 44, 5, 37)(2, 34, 7, 39, 15, 47, 23, 55, 30, 62, 24, 56, 16, 48, 8, 40)(4, 36, 9, 41, 17, 49, 25, 57, 31, 63, 27, 59, 19, 51, 11, 43)(6, 38, 13, 45, 21, 53, 28, 60, 32, 64, 29, 61, 22, 54, 14, 46)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 43)(6, 36)(7, 35)(8, 37)(9, 45)(10, 47)(11, 46)(12, 48)(13, 39)(14, 40)(15, 53)(16, 54)(17, 42)(18, 57)(19, 44)(20, 59)(21, 49)(22, 51)(23, 50)(24, 52)(25, 60)(26, 62)(27, 61)(28, 55)(29, 56)(30, 64)(31, 58)(32, 63)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.484
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.487 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^-2, T2 * T1 * T2^3 * T1 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 22, 54, 31, 63, 19, 51, 16, 48, 5, 37)(2, 34, 7, 39, 20, 52, 15, 47, 28, 60, 11, 43, 24, 56, 8, 40)(4, 36, 12, 44, 27, 59, 14, 46, 26, 58, 9, 41, 25, 57, 13, 45)(6, 38, 17, 49, 29, 61, 23, 55, 32, 64, 21, 53, 30, 62, 18, 50)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 51)(8, 54)(9, 49)(10, 52)(11, 35)(12, 53)(13, 55)(14, 50)(15, 37)(16, 56)(17, 43)(18, 47)(19, 44)(20, 61)(21, 39)(22, 45)(23, 40)(24, 62)(25, 48)(26, 63)(27, 42)(28, 64)(29, 59)(30, 57)(31, 60)(32, 58)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.485
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 12
	degree seq :: [ 16^4 ]

E9.488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y3 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^8, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 13, 45, 7, 39)(5, 37, 11, 43, 14, 46, 8, 40)(10, 42, 15, 47, 21, 53, 17, 49)(12, 44, 16, 48, 22, 54, 19, 51)(18, 50, 25, 57, 28, 60, 23, 55)(20, 52, 27, 59, 29, 61, 24, 56)(26, 58, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 73, 105, 81, 113, 89, 121, 95, 127, 91, 123, 83, 115, 75, 107)(70, 102, 77, 109, 85, 117, 92, 124, 96, 128, 93, 125, 86, 118, 78, 110)
	L = (1, 68)(2, 65)(3, 71)(4, 70)(5, 72)(6, 66)(7, 77)(8, 78)(9, 67)(10, 81)(11, 69)(12, 83)(13, 73)(14, 75)(15, 74)(16, 76)(17, 85)(18, 87)(19, 86)(20, 88)(21, 79)(22, 80)(23, 92)(24, 93)(25, 82)(26, 95)(27, 84)(28, 89)(29, 91)(30, 90)(31, 96)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E9.490
Graph:: bipartite
	v = 12 e = 64 f = 36
	degree seq :: [ 8^8, 16^4 ]

E9.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, Y1^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y1^-1 * Y2^-3, Y1^-1 * Y2^-1 * Y3 * Y2^-3, (Y2^-1 * R * Y2^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 20, 52, 29, 61, 27, 59)(16, 48, 24, 56, 30, 62, 25, 57)(26, 58, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 86, 118, 95, 127, 83, 115, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 79, 111, 92, 124, 75, 107, 88, 120, 72, 104)(68, 100, 76, 108, 91, 123, 78, 110, 90, 122, 73, 105, 89, 121, 77, 109)(70, 102, 81, 113, 93, 125, 87, 119, 96, 128, 85, 117, 94, 126, 82, 114)
	L = (1, 68)(2, 65)(3, 75)(4, 70)(5, 79)(6, 66)(7, 85)(8, 87)(9, 67)(10, 91)(11, 81)(12, 83)(13, 86)(14, 69)(15, 82)(16, 89)(17, 73)(18, 78)(19, 71)(20, 74)(21, 76)(22, 72)(23, 77)(24, 80)(25, 94)(26, 96)(27, 93)(28, 95)(29, 84)(30, 88)(31, 90)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E9.491
Graph:: bipartite
	v = 12 e = 64 f = 36
	degree seq :: [ 8^8, 16^4 ]

E9.490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^8, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 13, 45, 21, 53, 20, 52, 12, 44, 4, 36)(3, 35, 8, 40, 14, 46, 23, 55, 28, 60, 26, 58, 18, 50, 10, 42)(5, 37, 7, 39, 15, 47, 22, 54, 29, 61, 27, 59, 19, 51, 11, 43)(9, 41, 16, 48, 24, 56, 30, 62, 32, 64, 31, 63, 25, 57, 17, 49)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 73)(4, 75)(5, 65)(6, 78)(7, 80)(8, 66)(9, 69)(10, 68)(11, 81)(12, 82)(13, 86)(14, 88)(15, 70)(16, 72)(17, 74)(18, 89)(19, 76)(20, 91)(21, 92)(22, 94)(23, 77)(24, 79)(25, 83)(26, 84)(27, 95)(28, 96)(29, 85)(30, 87)(31, 90)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.488
Graph:: simple bipartite
	v = 36 e = 64 f = 12
	degree seq :: [ 2^32, 16^4 ]

E9.491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^3, (R * Y2 * Y3^-1)^2, Y3 * Y1^-3 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 17, 49, 29, 61, 25, 57, 13, 45, 4, 36)(3, 35, 9, 41, 18, 50, 14, 46, 24, 56, 8, 40, 23, 55, 11, 43)(5, 37, 15, 47, 19, 51, 12, 44, 22, 54, 7, 39, 20, 52, 16, 48)(10, 42, 21, 53, 30, 62, 28, 60, 32, 64, 26, 58, 31, 63, 27, 59)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 82)(7, 85)(8, 66)(9, 89)(10, 69)(11, 81)(12, 91)(13, 87)(14, 68)(15, 90)(16, 92)(17, 80)(18, 94)(19, 70)(20, 77)(21, 72)(22, 93)(23, 95)(24, 96)(25, 79)(26, 73)(27, 78)(28, 75)(29, 88)(30, 83)(31, 84)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.489
Graph:: simple bipartite
	v = 36 e = 64 f = 12
	degree seq :: [ 2^32, 16^4 ]

E9.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 18})
Quotient :: dipole
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|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 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 8, 44)(6, 42, 10, 46)(7, 43, 11, 47)(9, 45, 13, 49)(12, 48, 16, 52)(14, 50, 18, 54)(15, 51, 19, 55)(17, 53, 21, 57)(20, 56, 24, 60)(22, 58, 26, 62)(23, 59, 27, 63)(25, 61, 29, 65)(28, 64, 32, 68)(30, 66, 34, 70)(31, 67, 35, 71)(33, 69, 36, 72)(73, 109, 75, 111)(74, 110, 77, 113)(76, 112, 79, 115)(78, 114, 81, 117)(80, 116, 83, 119)(82, 118, 85, 121)(84, 120, 87, 123)(86, 122, 89, 125)(88, 124, 91, 127)(90, 126, 93, 129)(92, 128, 95, 131)(94, 130, 97, 133)(96, 132, 99, 135)(98, 134, 101, 137)(100, 136, 103, 139)(102, 138, 105, 141)(104, 140, 107, 143)(106, 142, 108, 144)
	L = (1, 76)(2, 78)(3, 79)(4, 73)(5, 81)(6, 74)(7, 75)(8, 84)(9, 77)(10, 86)(11, 87)(12, 80)(13, 89)(14, 82)(15, 83)(16, 92)(17, 85)(18, 94)(19, 95)(20, 88)(21, 97)(22, 90)(23, 91)(24, 100)(25, 93)(26, 102)(27, 103)(28, 96)(29, 105)(30, 98)(31, 99)(32, 108)(33, 101)(34, 107)(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) :: { ( 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E9.493
Graph:: simple bipartite
	v = 36 e = 72 f = 20
	degree seq :: [ 4^36 ]

E9.493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 18})
Quotient :: dipole
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|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^-1)^2, Y1^5 * Y3 * Y1^-4 * Y2, Y1^-1 * Y2 * Y1^2 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 13, 49, 21, 57, 29, 65, 34, 70, 26, 62, 18, 54, 10, 46, 16, 52, 24, 60, 32, 68, 36, 72, 28, 64, 20, 56, 12, 48, 5, 41)(3, 39, 9, 45, 17, 53, 25, 61, 33, 69, 31, 67, 23, 59, 15, 51, 8, 44, 4, 40, 11, 47, 19, 55, 27, 63, 35, 71, 30, 66, 22, 58, 14, 50, 7, 43)(73, 109, 75, 111)(74, 110, 79, 115)(76, 112, 82, 118)(77, 113, 81, 117)(78, 114, 86, 122)(80, 116, 88, 124)(83, 119, 90, 126)(84, 120, 89, 125)(85, 121, 94, 130)(87, 123, 96, 132)(91, 127, 98, 134)(92, 128, 97, 133)(93, 129, 102, 138)(95, 131, 104, 140)(99, 135, 106, 142)(100, 136, 105, 141)(101, 137, 107, 143)(103, 139, 108, 144)
	L = (1, 76)(2, 80)(3, 82)(4, 73)(5, 83)(6, 87)(7, 88)(8, 74)(9, 90)(10, 75)(11, 77)(12, 91)(13, 95)(14, 96)(15, 78)(16, 79)(17, 98)(18, 81)(19, 84)(20, 99)(21, 103)(22, 104)(23, 85)(24, 86)(25, 106)(26, 89)(27, 92)(28, 107)(29, 105)(30, 108)(31, 93)(32, 94)(33, 101)(34, 97)(35, 100)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4^4 ), ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E9.492
Graph:: bipartite
	v = 20 e = 72 f = 36
	degree seq :: [ 4^18, 36^2 ]

E9.494 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 18})
Quotient :: edge
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^4, (F * T1)^2, T2 * T1 * T2 * T1^-1, T1^-2 * T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 30, 22, 14, 6, 13, 21, 29, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 34, 26, 18, 10, 4, 11, 19, 27, 35, 32, 24, 16, 8)(37, 38, 42, 40)(39, 44, 49, 46)(41, 43, 50, 47)(45, 52, 57, 54)(48, 51, 58, 55)(53, 60, 65, 62)(56, 59, 66, 63)(61, 68, 72, 70)(64, 67, 69, 71)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 8^4 ), ( 8^18 ) }
Outer automorphisms :: reflexible
Dual of E9.495
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 36 f = 9
	degree seq :: [ 4^9, 18^2 ]

E9.495 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 18})
Quotient :: loop
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^2 * T2^2, (F * T2)^2, T2^-1 * T1^2 * T2^-1, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 6, 42, 5, 41)(2, 38, 7, 43, 4, 40, 8, 44)(9, 45, 13, 49, 10, 46, 14, 50)(11, 47, 15, 51, 12, 48, 16, 52)(17, 53, 21, 57, 18, 54, 22, 58)(19, 55, 23, 59, 20, 56, 24, 60)(25, 61, 29, 65, 26, 62, 30, 66)(27, 63, 31, 67, 28, 64, 32, 68)(33, 69, 35, 71, 34, 70, 36, 72)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 46)(6, 40)(7, 47)(8, 48)(9, 41)(10, 39)(11, 44)(12, 43)(13, 53)(14, 54)(15, 55)(16, 56)(17, 50)(18, 49)(19, 52)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 58)(26, 57)(27, 60)(28, 59)(29, 69)(30, 70)(31, 71)(32, 72)(33, 66)(34, 65)(35, 68)(36, 67)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E9.494
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 36 f = 11
	degree seq :: [ 8^9 ]

E9.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y2^-1 * Y1 * Y2^4 * Y1 * Y2^-4, Y2^18 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 8, 44, 13, 49, 10, 46)(5, 41, 7, 43, 14, 50, 11, 47)(9, 45, 16, 52, 21, 57, 18, 54)(12, 48, 15, 51, 22, 58, 19, 55)(17, 53, 24, 60, 29, 65, 26, 62)(20, 56, 23, 59, 30, 66, 27, 63)(25, 61, 32, 68, 36, 72, 34, 70)(28, 64, 31, 67, 33, 69, 35, 71)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 105, 141, 102, 138, 94, 130, 86, 122, 78, 114, 85, 121, 93, 129, 101, 137, 108, 144, 100, 136, 92, 128, 84, 120, 77, 113)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 106, 142, 98, 134, 90, 126, 82, 118, 76, 112, 83, 119, 91, 127, 99, 135, 107, 143, 104, 140, 96, 132, 88, 124, 80, 116)
	L = (1, 75)(2, 79)(3, 81)(4, 83)(5, 73)(6, 85)(7, 87)(8, 74)(9, 89)(10, 76)(11, 91)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 82)(19, 99)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 105)(26, 90)(27, 107)(28, 92)(29, 108)(30, 94)(31, 106)(32, 96)(33, 102)(34, 98)(35, 104)(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, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.497
Graph:: bipartite
	v = 11 e = 72 f = 45
	degree seq :: [ 8^9, 36^2 ]

E9.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^9, (Y3^-1 * Y1^-1)^18 ]
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, 80, 116, 85, 121, 82, 118)(77, 113, 79, 115, 86, 122, 83, 119)(81, 117, 88, 124, 93, 129, 90, 126)(84, 120, 87, 123, 94, 130, 91, 127)(89, 125, 96, 132, 101, 137, 98, 134)(92, 128, 95, 131, 102, 138, 99, 135)(97, 133, 104, 140, 108, 144, 106, 142)(100, 136, 103, 139, 105, 141, 107, 143)
	L = (1, 75)(2, 79)(3, 81)(4, 83)(5, 73)(6, 85)(7, 87)(8, 74)(9, 89)(10, 76)(11, 91)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 82)(19, 99)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 105)(26, 90)(27, 107)(28, 92)(29, 108)(30, 94)(31, 106)(32, 96)(33, 102)(34, 98)(35, 104)(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, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E9.496
Graph:: simple bipartite
	v = 45 e = 72 f = 11
	degree seq :: [ 2^36, 8^9 ]

E9.498 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 36, 36})
Quotient :: regular
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1, T2 * T1^18 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 35, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 34, 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, 36)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 18 f = 1
	degree seq :: [ 36 ]

E9.499 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 36, 36})
Quotient :: edge
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^18 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 34, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 33, 36, 32, 28, 24, 20, 16, 12, 8, 4)(37, 38)(39, 41)(40, 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, 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) :: { ( 72, 72 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E9.500
Transitivity :: ET+
Graph:: bipartite
	v = 19 e = 36 f = 1
	degree seq :: [ 2^18, 36 ]

E9.500 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 36, 36})
Quotient :: loop
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^18 * T1 ]
Map::
	R = (1, 37, 3, 39, 7, 43, 11, 47, 15, 51, 19, 55, 23, 59, 27, 63, 31, 67, 35, 71, 34, 70, 30, 66, 26, 62, 22, 58, 18, 54, 14, 50, 10, 46, 6, 42, 2, 38, 5, 41, 9, 45, 13, 49, 17, 53, 21, 57, 25, 61, 29, 65, 33, 69, 36, 72, 32, 68, 28, 64, 24, 60, 20, 56, 16, 52, 12, 48, 8, 44, 4, 40)
	L = (1, 38)(2, 37)(3, 41)(4, 42)(5, 39)(6, 40)(7, 45)(8, 46)(9, 43)(10, 44)(11, 49)(12, 50)(13, 47)(14, 48)(15, 53)(16, 54)(17, 51)(18, 52)(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) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E9.499
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 36 f = 19
	degree seq :: [ 72 ]

E9.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^18 * Y1, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 6, 42)(7, 43, 9, 45)(8, 44, 10, 46)(11, 47, 13, 49)(12, 48, 14, 50)(15, 51, 17, 53)(16, 52, 18, 54)(19, 55, 21, 57)(20, 56, 22, 58)(23, 59, 25, 61)(24, 60, 26, 62)(27, 63, 29, 65)(28, 64, 30, 66)(31, 67, 33, 69)(32, 68, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 79, 115, 83, 119, 87, 123, 91, 127, 95, 131, 99, 135, 103, 139, 107, 143, 106, 142, 102, 138, 98, 134, 94, 130, 90, 126, 86, 122, 82, 118, 78, 114, 74, 110, 77, 113, 81, 117, 85, 121, 89, 125, 93, 129, 97, 133, 101, 137, 105, 141, 108, 144, 104, 140, 100, 136, 96, 132, 92, 128, 88, 124, 84, 120, 80, 116, 76, 112)
	L = (1, 74)(2, 73)(3, 77)(4, 78)(5, 75)(6, 76)(7, 81)(8, 82)(9, 79)(10, 80)(11, 85)(12, 86)(13, 83)(14, 84)(15, 89)(16, 90)(17, 87)(18, 88)(19, 93)(20, 94)(21, 91)(22, 92)(23, 97)(24, 98)(25, 95)(26, 96)(27, 101)(28, 102)(29, 99)(30, 100)(31, 105)(32, 106)(33, 103)(34, 104)(35, 108)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E9.502
Graph:: bipartite
	v = 19 e = 72 f = 37
	degree seq :: [ 4^18, 72 ]

E9.502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^18 ]
Map::
	R = (1, 37, 2, 38, 5, 41, 9, 45, 13, 49, 17, 53, 21, 57, 25, 61, 29, 65, 33, 69, 35, 71, 31, 67, 27, 63, 23, 59, 19, 55, 15, 51, 11, 47, 7, 43, 3, 39, 6, 42, 10, 46, 14, 50, 18, 54, 22, 58, 26, 62, 30, 66, 34, 70, 36, 72, 32, 68, 28, 64, 24, 60, 20, 56, 16, 52, 12, 48, 8, 44, 4, 40)(73, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 117)(82, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 130)(95, 131)(96, 132)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)
	L = (1, 75)(2, 78)(3, 73)(4, 79)(5, 82)(6, 74)(7, 76)(8, 83)(9, 86)(10, 77)(11, 80)(12, 87)(13, 90)(14, 81)(15, 84)(16, 91)(17, 94)(18, 85)(19, 88)(20, 95)(21, 98)(22, 89)(23, 92)(24, 99)(25, 102)(26, 93)(27, 96)(28, 103)(29, 106)(30, 97)(31, 100)(32, 107)(33, 108)(34, 101)(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) :: { ( 4, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E9.501
Graph:: bipartite
	v = 37 e = 72 f = 19
	degree seq :: [ 2^36, 72 ]

E9.503 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 19, 38})
Quotient :: regular
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-19 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 35, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 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, 37)
	local type(s) :: { ( 19^38 ) }
Outer automorphisms :: reflexible
Dual of E9.504
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 19 f = 2
	degree seq :: [ 38 ]

E9.504 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 19, 38})
Quotient :: regular
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1, T1^19 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 36, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 34, 37, 38, 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, 37)(36, 38)
	local type(s) :: { ( 38^19 ) }
Outer automorphisms :: reflexible
Dual of E9.503
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 19 f = 1
	degree seq :: [ 19^2 ]

E9.505 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 19, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^19 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 36, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 38, 34, 30, 26, 22, 18, 14, 10, 6)(39, 40)(41, 43)(42, 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)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76, 76 ), ( 76^19 ) }
Outer automorphisms :: reflexible
Dual of E9.509
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 38 f = 1
	degree seq :: [ 2^19, 19^2 ]

E9.506 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 19, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^17, T2^-2 * T1^7 * T2^-10 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 37, 35, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 38, 36, 31, 28, 23, 20, 15, 12, 6, 5)(39, 40, 44, 49, 53, 57, 61, 65, 69, 73, 76, 71, 68, 63, 60, 55, 52, 47, 42)(41, 45, 43, 46, 50, 54, 58, 62, 66, 70, 74, 75, 72, 67, 64, 59, 56, 51, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 4^19 ), ( 4^38 ) }
Outer automorphisms :: reflexible
Dual of E9.510
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 19
	degree seq :: [ 19^2, 38 ]

E9.507 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 19, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-19 ]
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, 37)(39, 40, 43, 47, 51, 55, 59, 63, 67, 71, 75, 73, 69, 65, 61, 57, 53, 49, 45, 41, 44, 48, 52, 56, 60, 64, 68, 72, 76, 74, 70, 66, 62, 58, 54, 50, 46, 42)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38, 38 ), ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E9.508
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 38 f = 2
	degree seq :: [ 2^19, 38 ]

E9.508 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 19, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^19 ]
Map::
	R = (1, 39, 3, 41, 7, 45, 11, 49, 15, 53, 19, 57, 23, 61, 27, 65, 31, 69, 35, 73, 36, 74, 32, 70, 28, 66, 24, 62, 20, 58, 16, 54, 12, 50, 8, 46, 4, 42)(2, 40, 5, 43, 9, 47, 13, 51, 17, 55, 21, 59, 25, 63, 29, 67, 33, 71, 37, 75, 38, 76, 34, 72, 30, 68, 26, 64, 22, 60, 18, 56, 14, 52, 10, 48, 6, 44)
	L = (1, 40)(2, 39)(3, 43)(4, 44)(5, 41)(6, 42)(7, 47)(8, 48)(9, 45)(10, 46)(11, 51)(12, 52)(13, 49)(14, 50)(15, 55)(16, 56)(17, 53)(18, 54)(19, 59)(20, 60)(21, 57)(22, 58)(23, 63)(24, 64)(25, 61)(26, 62)(27, 67)(28, 68)(29, 65)(30, 66)(31, 71)(32, 72)(33, 69)(34, 70)(35, 75)(36, 76)(37, 73)(38, 74)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.507
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 20
	degree seq :: [ 38^2 ]

E9.509 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 19, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^17, T2^-2 * T1^7 * T2^-10 ]
Map::
	R = (1, 39, 3, 41, 9, 47, 13, 51, 17, 55, 21, 59, 25, 63, 29, 67, 33, 71, 37, 75, 35, 73, 32, 70, 27, 65, 24, 62, 19, 57, 16, 54, 11, 49, 8, 46, 2, 40, 7, 45, 4, 42, 10, 48, 14, 52, 18, 56, 22, 60, 26, 64, 30, 68, 34, 72, 38, 76, 36, 74, 31, 69, 28, 66, 23, 61, 20, 58, 15, 53, 12, 50, 6, 44, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 49)(7, 43)(8, 50)(9, 42)(10, 41)(11, 53)(12, 54)(13, 48)(14, 47)(15, 57)(16, 58)(17, 52)(18, 51)(19, 61)(20, 62)(21, 56)(22, 55)(23, 65)(24, 66)(25, 60)(26, 59)(27, 69)(28, 70)(29, 64)(30, 63)(31, 73)(32, 74)(33, 68)(34, 67)(35, 76)(36, 75)(37, 72)(38, 71)
	local type(s) :: { ( 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19 ) }
Outer automorphisms :: reflexible
Dual of E9.505
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 21
	degree seq :: [ 76 ]

E9.510 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 19, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-19 ]
Map:: non-degenerate
	R = (1, 39, 3, 41)(2, 40, 6, 44)(4, 42, 7, 45)(5, 43, 10, 48)(8, 46, 11, 49)(9, 47, 14, 52)(12, 50, 15, 53)(13, 51, 18, 56)(16, 54, 19, 57)(17, 55, 22, 60)(20, 58, 23, 61)(21, 59, 26, 64)(24, 62, 27, 65)(25, 63, 30, 68)(28, 66, 31, 69)(29, 67, 34, 72)(32, 70, 35, 73)(33, 71, 38, 76)(36, 74, 37, 75)
	L = (1, 40)(2, 43)(3, 44)(4, 39)(5, 47)(6, 48)(7, 41)(8, 42)(9, 51)(10, 52)(11, 45)(12, 46)(13, 55)(14, 56)(15, 49)(16, 50)(17, 59)(18, 60)(19, 53)(20, 54)(21, 63)(22, 64)(23, 57)(24, 58)(25, 67)(26, 68)(27, 61)(28, 62)(29, 71)(30, 72)(31, 65)(32, 66)(33, 75)(34, 76)(35, 69)(36, 70)(37, 73)(38, 74)
	local type(s) :: { ( 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.506
Transitivity :: ET+ VT+ AT
Graph::
	v = 19 e = 38 f = 3
	degree seq :: [ 4^19 ]

E9.511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 19, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|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, Y2^19, (Y3 * Y2^-1)^38 ]
Map::
	R = (1, 39, 2, 40)(3, 41, 5, 43)(4, 42, 6, 44)(7, 45, 9, 47)(8, 46, 10, 48)(11, 49, 13, 51)(12, 50, 14, 52)(15, 53, 17, 55)(16, 54, 18, 56)(19, 57, 21, 59)(20, 58, 22, 60)(23, 61, 25, 63)(24, 62, 26, 64)(27, 65, 29, 67)(28, 66, 30, 68)(31, 69, 33, 71)(32, 70, 34, 72)(35, 73, 37, 75)(36, 74, 38, 76)(77, 115, 79, 117, 83, 121, 87, 125, 91, 129, 95, 133, 99, 137, 103, 141, 107, 145, 111, 149, 112, 150, 108, 146, 104, 142, 100, 138, 96, 134, 92, 130, 88, 126, 84, 122, 80, 118)(78, 116, 81, 119, 85, 123, 89, 127, 93, 131, 97, 135, 101, 139, 105, 143, 109, 147, 113, 151, 114, 152, 110, 148, 106, 144, 102, 140, 98, 136, 94, 132, 90, 128, 86, 124, 82, 120)
	L = (1, 78)(2, 77)(3, 81)(4, 82)(5, 79)(6, 80)(7, 85)(8, 86)(9, 83)(10, 84)(11, 89)(12, 90)(13, 87)(14, 88)(15, 93)(16, 94)(17, 91)(18, 92)(19, 97)(20, 98)(21, 95)(22, 96)(23, 101)(24, 102)(25, 99)(26, 100)(27, 105)(28, 106)(29, 103)(30, 104)(31, 109)(32, 110)(33, 107)(34, 108)(35, 113)(36, 114)(37, 111)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E9.514
Graph:: bipartite
	v = 21 e = 76 f = 39
	degree seq :: [ 4^19, 38^2 ]

E9.512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 19, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^8 * Y2^8, Y1^7 * Y2^-1 * Y1 * Y2^-9 * Y1, Y1^19, Y2^-46 * Y1^-8 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 11, 49, 15, 53, 19, 57, 23, 61, 27, 65, 31, 69, 35, 73, 38, 76, 33, 71, 30, 68, 25, 63, 22, 60, 17, 55, 14, 52, 9, 47, 4, 42)(3, 41, 7, 45, 5, 43, 8, 46, 12, 50, 16, 54, 20, 58, 24, 62, 28, 66, 32, 70, 36, 74, 37, 75, 34, 72, 29, 67, 26, 64, 21, 59, 18, 56, 13, 51, 10, 48)(77, 115, 79, 117, 85, 123, 89, 127, 93, 131, 97, 135, 101, 139, 105, 143, 109, 147, 113, 151, 111, 149, 108, 146, 103, 141, 100, 138, 95, 133, 92, 130, 87, 125, 84, 122, 78, 116, 83, 121, 80, 118, 86, 124, 90, 128, 94, 132, 98, 136, 102, 140, 106, 144, 110, 148, 114, 152, 112, 150, 107, 145, 104, 142, 99, 137, 96, 134, 91, 129, 88, 126, 82, 120, 81, 119)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 81)(7, 80)(8, 78)(9, 89)(10, 90)(11, 84)(12, 82)(13, 93)(14, 94)(15, 88)(16, 87)(17, 97)(18, 98)(19, 92)(20, 91)(21, 101)(22, 102)(23, 96)(24, 95)(25, 105)(26, 106)(27, 100)(28, 99)(29, 109)(30, 110)(31, 104)(32, 103)(33, 113)(34, 114)(35, 108)(36, 107)(37, 111)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E9.513
Graph:: bipartite
	v = 3 e = 76 f = 57
	degree seq :: [ 38^2, 76 ]

E9.513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 19, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^19 * Y2, (Y3^-1 * Y1^-1)^38 ]
Map::
	R = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(77, 115, 78, 116)(79, 117, 81, 119)(80, 118, 82, 120)(83, 121, 85, 123)(84, 122, 86, 124)(87, 125, 89, 127)(88, 126, 90, 128)(91, 129, 93, 131)(92, 130, 94, 132)(95, 133, 97, 135)(96, 134, 98, 136)(99, 137, 101, 139)(100, 138, 102, 140)(103, 141, 105, 143)(104, 142, 106, 144)(107, 145, 109, 147)(108, 146, 110, 148)(111, 149, 113, 151)(112, 150, 114, 152)
	L = (1, 79)(2, 81)(3, 83)(4, 77)(5, 85)(6, 78)(7, 87)(8, 80)(9, 89)(10, 82)(11, 91)(12, 84)(13, 93)(14, 86)(15, 95)(16, 88)(17, 97)(18, 90)(19, 99)(20, 92)(21, 101)(22, 94)(23, 103)(24, 96)(25, 105)(26, 98)(27, 107)(28, 100)(29, 109)(30, 102)(31, 111)(32, 104)(33, 113)(34, 106)(35, 114)(36, 108)(37, 112)(38, 110)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E9.512
Graph:: simple bipartite
	v = 57 e = 76 f = 3
	degree seq :: [ 2^38, 4^19 ]

E9.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 19, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-19 ]
Map::
	R = (1, 39, 2, 40, 5, 43, 9, 47, 13, 51, 17, 55, 21, 59, 25, 63, 29, 67, 33, 71, 37, 75, 35, 73, 31, 69, 27, 65, 23, 61, 19, 57, 15, 53, 11, 49, 7, 45, 3, 41, 6, 44, 10, 48, 14, 52, 18, 56, 22, 60, 26, 64, 30, 68, 34, 72, 38, 76, 36, 74, 32, 70, 28, 66, 24, 62, 20, 58, 16, 54, 12, 50, 8, 46, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 82)(3, 77)(4, 83)(5, 86)(6, 78)(7, 80)(8, 87)(9, 90)(10, 81)(11, 84)(12, 91)(13, 94)(14, 85)(15, 88)(16, 95)(17, 98)(18, 89)(19, 92)(20, 99)(21, 102)(22, 93)(23, 96)(24, 103)(25, 106)(26, 97)(27, 100)(28, 107)(29, 110)(30, 101)(31, 104)(32, 111)(33, 114)(34, 105)(35, 108)(36, 113)(37, 112)(38, 109)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.511
Graph:: bipartite
	v = 39 e = 76 f = 21
	degree seq :: [ 2^38, 76 ]

E9.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 19, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|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, Y2^19 * Y1, (Y3 * Y2^-1)^19 ]
Map::
	R = (1, 39, 2, 40)(3, 41, 5, 43)(4, 42, 6, 44)(7, 45, 9, 47)(8, 46, 10, 48)(11, 49, 13, 51)(12, 50, 14, 52)(15, 53, 17, 55)(16, 54, 18, 56)(19, 57, 21, 59)(20, 58, 22, 60)(23, 61, 25, 63)(24, 62, 26, 64)(27, 65, 29, 67)(28, 66, 30, 68)(31, 69, 33, 71)(32, 70, 34, 72)(35, 73, 37, 75)(36, 74, 38, 76)(77, 115, 79, 117, 83, 121, 87, 125, 91, 129, 95, 133, 99, 137, 103, 141, 107, 145, 111, 149, 114, 152, 110, 148, 106, 144, 102, 140, 98, 136, 94, 132, 90, 128, 86, 124, 82, 120, 78, 116, 81, 119, 85, 123, 89, 127, 93, 131, 97, 135, 101, 139, 105, 143, 109, 147, 113, 151, 112, 150, 108, 146, 104, 142, 100, 138, 96, 134, 92, 130, 88, 126, 84, 122, 80, 118)
	L = (1, 78)(2, 77)(3, 81)(4, 82)(5, 79)(6, 80)(7, 85)(8, 86)(9, 83)(10, 84)(11, 89)(12, 90)(13, 87)(14, 88)(15, 93)(16, 94)(17, 91)(18, 92)(19, 97)(20, 98)(21, 95)(22, 96)(23, 101)(24, 102)(25, 99)(26, 100)(27, 105)(28, 106)(29, 103)(30, 104)(31, 109)(32, 110)(33, 107)(34, 108)(35, 113)(36, 114)(37, 111)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 38, 2, 38 ), ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.516
Graph:: bipartite
	v = 20 e = 76 f = 40
	degree seq :: [ 4^19, 76 ]

E9.516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 19, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^7 * Y3^8 * Y1, Y1^-1 * Y3^18, Y1^19, (Y3 * Y2^-1)^38 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 11, 49, 15, 53, 19, 57, 23, 61, 27, 65, 31, 69, 35, 73, 38, 76, 33, 71, 30, 68, 25, 63, 22, 60, 17, 55, 14, 52, 9, 47, 4, 42)(3, 41, 7, 45, 5, 43, 8, 46, 12, 50, 16, 54, 20, 58, 24, 62, 28, 66, 32, 70, 36, 74, 37, 75, 34, 72, 29, 67, 26, 64, 21, 59, 18, 56, 13, 51, 10, 48)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 81)(7, 80)(8, 78)(9, 89)(10, 90)(11, 84)(12, 82)(13, 93)(14, 94)(15, 88)(16, 87)(17, 97)(18, 98)(19, 92)(20, 91)(21, 101)(22, 102)(23, 96)(24, 95)(25, 105)(26, 106)(27, 100)(28, 99)(29, 109)(30, 110)(31, 104)(32, 103)(33, 113)(34, 114)(35, 108)(36, 107)(37, 111)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 76 ), ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E9.515
Graph:: simple bipartite
	v = 40 e = 76 f = 20
	degree seq :: [ 2^38, 38^2 ]

E9.517 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: halfedge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, Y2 * Y3 * Y1 * Y3 * Y2 * Y1, (Y3 * Y1)^4, (Y3 * Y2)^5 ]
Map:: non-degenerate
	R = (1, 42, 2, 41)(3, 47, 7, 43)(4, 49, 9, 44)(5, 51, 11, 45)(6, 53, 13, 46)(8, 52, 12, 48)(10, 54, 14, 50)(15, 60, 20, 55)(16, 61, 21, 56)(17, 65, 25, 57)(18, 63, 23, 58)(19, 67, 27, 59)(22, 69, 29, 62)(24, 71, 31, 64)(26, 70, 30, 66)(28, 72, 32, 68)(33, 76, 36, 73)(34, 79, 39, 74)(35, 78, 38, 75)(37, 80, 40, 77)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 25)(19, 28)(21, 29)(24, 32)(26, 34)(27, 35)(30, 37)(31, 38)(33, 39)(36, 40)(41, 44)(42, 46)(43, 48)(45, 52)(47, 56)(49, 55)(50, 59)(51, 61)(53, 60)(54, 64)(57, 66)(58, 67)(62, 70)(63, 71)(65, 73)(68, 74)(69, 76)(72, 77)(75, 79)(78, 80)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E9.518
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 20 e = 40 f = 4
	degree seq :: [ 4^20 ]

E9.518 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: halfedge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3 * Y1^-1 * Y2)^2, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, (Y1^-2 * Y3)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3, Y1^-4 * Y3 * Y2, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 58, 18, 53, 13, 65, 25, 50, 10, 62, 22, 57, 17, 45, 5, 41)(3, 49, 9, 67, 27, 75, 35, 60, 20, 54, 14, 44, 4, 52, 12, 59, 19, 51, 11, 43)(7, 61, 21, 55, 15, 73, 33, 74, 34, 66, 26, 48, 8, 64, 24, 56, 16, 63, 23, 47)(28, 76, 36, 70, 30, 78, 38, 72, 32, 80, 40, 69, 29, 77, 37, 71, 31, 79, 39, 68)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 32)(14, 29)(16, 18)(17, 27)(21, 36)(22, 34)(23, 38)(24, 40)(26, 37)(31, 35)(33, 39)(41, 44)(42, 48)(43, 50)(45, 56)(46, 60)(47, 62)(49, 69)(51, 71)(52, 68)(53, 67)(54, 70)(55, 65)(57, 59)(58, 74)(61, 77)(63, 79)(64, 76)(66, 78)(72, 75)(73, 80)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E9.517
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 20
	degree seq :: [ 20^4 ]

E9.519 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^4, (Y2 * Y1)^5 ]
Map::
	R = (1, 41, 4, 44)(2, 42, 6, 46)(3, 43, 8, 48)(5, 45, 12, 52)(7, 47, 16, 56)(9, 49, 18, 58)(10, 50, 19, 59)(11, 51, 21, 61)(13, 53, 23, 63)(14, 54, 24, 64)(15, 55, 26, 66)(17, 57, 28, 68)(20, 60, 30, 70)(22, 62, 32, 72)(25, 65, 33, 73)(27, 67, 35, 75)(29, 69, 36, 76)(31, 71, 38, 78)(34, 74, 39, 79)(37, 77, 40, 80)(81, 82)(83, 87)(84, 89)(85, 91)(86, 93)(88, 97)(90, 96)(92, 102)(94, 101)(95, 105)(98, 103)(99, 108)(100, 109)(104, 112)(106, 114)(107, 113)(110, 117)(111, 116)(115, 119)(118, 120)(121, 123)(122, 125)(124, 130)(126, 134)(127, 135)(128, 133)(129, 132)(131, 140)(136, 147)(137, 146)(138, 144)(139, 143)(141, 151)(142, 150)(145, 149)(148, 155)(152, 158)(153, 157)(154, 156)(159, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E9.522
Graph:: simple bipartite
	v = 60 e = 80 f = 4
	degree seq :: [ 2^40, 4^20 ]

E9.520 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y2 * Y3^-3, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 4, 44, 14, 54, 20, 60, 6, 46, 19, 59, 9, 49, 27, 67, 17, 57, 5, 45)(2, 42, 7, 47, 23, 63, 11, 51, 3, 43, 10, 50, 18, 58, 34, 74, 26, 66, 8, 48)(12, 52, 29, 69, 15, 55, 32, 72, 13, 53, 31, 71, 16, 56, 33, 73, 35, 75, 30, 70)(21, 61, 36, 76, 24, 64, 39, 79, 22, 62, 38, 78, 25, 65, 40, 80, 28, 68, 37, 77)(81, 82)(83, 89)(84, 92)(85, 95)(86, 98)(87, 101)(88, 104)(90, 105)(91, 108)(93, 107)(94, 106)(96, 99)(97, 103)(100, 115)(102, 114)(109, 116)(110, 119)(111, 120)(112, 117)(113, 118)(121, 123)(122, 126)(124, 133)(125, 136)(127, 142)(128, 145)(129, 146)(130, 141)(131, 144)(132, 139)(134, 143)(135, 140)(137, 138)(147, 155)(148, 154)(149, 158)(150, 160)(151, 156)(152, 159)(153, 157)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 8 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E9.521
Graph:: simple bipartite
	v = 44 e = 80 f = 20
	degree seq :: [ 2^40, 20^4 ]

E9.521 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 10})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^4, (Y2 * Y1)^5 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 6, 46, 86, 126)(3, 43, 83, 123, 8, 48, 88, 128)(5, 45, 85, 125, 12, 52, 92, 132)(7, 47, 87, 127, 16, 56, 96, 136)(9, 49, 89, 129, 18, 58, 98, 138)(10, 50, 90, 130, 19, 59, 99, 139)(11, 51, 91, 131, 21, 61, 101, 141)(13, 53, 93, 133, 23, 63, 103, 143)(14, 54, 94, 134, 24, 64, 104, 144)(15, 55, 95, 135, 26, 66, 106, 146)(17, 57, 97, 137, 28, 68, 108, 148)(20, 60, 100, 140, 30, 70, 110, 150)(22, 62, 102, 142, 32, 72, 112, 152)(25, 65, 105, 145, 33, 73, 113, 153)(27, 67, 107, 147, 35, 75, 115, 155)(29, 69, 109, 149, 36, 76, 116, 156)(31, 71, 111, 151, 38, 78, 118, 158)(34, 74, 114, 154, 39, 79, 119, 159)(37, 77, 117, 157, 40, 80, 120, 160)
	L = (1, 42)(2, 41)(3, 47)(4, 49)(5, 51)(6, 53)(7, 43)(8, 57)(9, 44)(10, 56)(11, 45)(12, 62)(13, 46)(14, 61)(15, 65)(16, 50)(17, 48)(18, 63)(19, 68)(20, 69)(21, 54)(22, 52)(23, 58)(24, 72)(25, 55)(26, 74)(27, 73)(28, 59)(29, 60)(30, 77)(31, 76)(32, 64)(33, 67)(34, 66)(35, 79)(36, 71)(37, 70)(38, 80)(39, 75)(40, 78)(81, 123)(82, 125)(83, 121)(84, 130)(85, 122)(86, 134)(87, 135)(88, 133)(89, 132)(90, 124)(91, 140)(92, 129)(93, 128)(94, 126)(95, 127)(96, 147)(97, 146)(98, 144)(99, 143)(100, 131)(101, 151)(102, 150)(103, 139)(104, 138)(105, 149)(106, 137)(107, 136)(108, 155)(109, 145)(110, 142)(111, 141)(112, 158)(113, 157)(114, 156)(115, 148)(116, 154)(117, 153)(118, 152)(119, 160)(120, 159)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.520
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 44
	degree seq :: [ 8^20 ]

E9.522 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 10})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y2 * Y3^-3, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 14, 54, 94, 134, 20, 60, 100, 140, 6, 46, 86, 126, 19, 59, 99, 139, 9, 49, 89, 129, 27, 67, 107, 147, 17, 57, 97, 137, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 23, 63, 103, 143, 11, 51, 91, 131, 3, 43, 83, 123, 10, 50, 90, 130, 18, 58, 98, 138, 34, 74, 114, 154, 26, 66, 106, 146, 8, 48, 88, 128)(12, 52, 92, 132, 29, 69, 109, 149, 15, 55, 95, 135, 32, 72, 112, 152, 13, 53, 93, 133, 31, 71, 111, 151, 16, 56, 96, 136, 33, 73, 113, 153, 35, 75, 115, 155, 30, 70, 110, 150)(21, 61, 101, 141, 36, 76, 116, 156, 24, 64, 104, 144, 39, 79, 119, 159, 22, 62, 102, 142, 38, 78, 118, 158, 25, 65, 105, 145, 40, 80, 120, 160, 28, 68, 108, 148, 37, 77, 117, 157)
	L = (1, 42)(2, 41)(3, 49)(4, 52)(5, 55)(6, 58)(7, 61)(8, 64)(9, 43)(10, 65)(11, 68)(12, 44)(13, 67)(14, 66)(15, 45)(16, 59)(17, 63)(18, 46)(19, 56)(20, 75)(21, 47)(22, 74)(23, 57)(24, 48)(25, 50)(26, 54)(27, 53)(28, 51)(29, 76)(30, 79)(31, 80)(32, 77)(33, 78)(34, 62)(35, 60)(36, 69)(37, 72)(38, 73)(39, 70)(40, 71)(81, 123)(82, 126)(83, 121)(84, 133)(85, 136)(86, 122)(87, 142)(88, 145)(89, 146)(90, 141)(91, 144)(92, 139)(93, 124)(94, 143)(95, 140)(96, 125)(97, 138)(98, 137)(99, 132)(100, 135)(101, 130)(102, 127)(103, 134)(104, 131)(105, 128)(106, 129)(107, 155)(108, 154)(109, 158)(110, 160)(111, 156)(112, 159)(113, 157)(114, 148)(115, 147)(116, 151)(117, 153)(118, 149)(119, 152)(120, 150)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.519
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 60
	degree seq :: [ 40^4 ]

E9.523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y2 * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y3 * Y1 * Y2 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 12, 52)(5, 45, 14, 54)(6, 46, 15, 55)(7, 47, 18, 58)(8, 48, 20, 60)(10, 50, 21, 61)(11, 51, 22, 62)(13, 53, 19, 59)(16, 56, 25, 65)(17, 57, 26, 66)(23, 63, 31, 71)(24, 64, 32, 72)(27, 67, 35, 75)(28, 68, 36, 76)(29, 69, 37, 77)(30, 70, 38, 78)(33, 73, 40, 80)(34, 74, 39, 79)(81, 121, 83, 123)(82, 122, 86, 126)(84, 124, 91, 131)(85, 125, 90, 130)(87, 127, 97, 137)(88, 128, 96, 136)(89, 129, 99, 139)(92, 132, 101, 141)(93, 133, 95, 135)(94, 134, 102, 142)(98, 138, 105, 145)(100, 140, 106, 146)(103, 143, 110, 150)(104, 144, 109, 149)(107, 147, 114, 154)(108, 148, 113, 153)(111, 151, 117, 157)(112, 152, 118, 158)(115, 155, 120, 160)(116, 156, 119, 159)
	L = (1, 84)(2, 87)(3, 90)(4, 93)(5, 81)(6, 96)(7, 99)(8, 82)(9, 97)(10, 95)(11, 83)(12, 103)(13, 85)(14, 104)(15, 91)(16, 89)(17, 86)(18, 107)(19, 88)(20, 108)(21, 109)(22, 110)(23, 94)(24, 92)(25, 113)(26, 114)(27, 100)(28, 98)(29, 102)(30, 101)(31, 119)(32, 120)(33, 106)(34, 105)(35, 118)(36, 117)(37, 115)(38, 116)(39, 112)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.525
Graph:: simple bipartite
	v = 40 e = 80 f = 24
	degree seq :: [ 4^40 ]

E9.524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y2 * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 12, 52)(5, 45, 14, 54)(6, 46, 15, 55)(7, 47, 18, 58)(8, 48, 20, 60)(10, 50, 21, 61)(11, 51, 22, 62)(13, 53, 19, 59)(16, 56, 25, 65)(17, 57, 26, 66)(23, 63, 31, 71)(24, 64, 32, 72)(27, 67, 35, 75)(28, 68, 36, 76)(29, 69, 37, 77)(30, 70, 38, 78)(33, 73, 39, 79)(34, 74, 40, 80)(81, 121, 83, 123)(82, 122, 86, 126)(84, 124, 91, 131)(85, 125, 90, 130)(87, 127, 97, 137)(88, 128, 96, 136)(89, 129, 99, 139)(92, 132, 101, 141)(93, 133, 95, 135)(94, 134, 102, 142)(98, 138, 105, 145)(100, 140, 106, 146)(103, 143, 110, 150)(104, 144, 109, 149)(107, 147, 114, 154)(108, 148, 113, 153)(111, 151, 117, 157)(112, 152, 118, 158)(115, 155, 119, 159)(116, 156, 120, 160)
	L = (1, 84)(2, 87)(3, 90)(4, 93)(5, 81)(6, 96)(7, 99)(8, 82)(9, 97)(10, 95)(11, 83)(12, 103)(13, 85)(14, 104)(15, 91)(16, 89)(17, 86)(18, 107)(19, 88)(20, 108)(21, 109)(22, 110)(23, 94)(24, 92)(25, 113)(26, 114)(27, 100)(28, 98)(29, 102)(30, 101)(31, 119)(32, 120)(33, 106)(34, 105)(35, 117)(36, 118)(37, 116)(38, 115)(39, 112)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.526
Graph:: simple bipartite
	v = 40 e = 80 f = 24
	degree seq :: [ 4^40 ]

E9.525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, Y3^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y2 * Y1^-2)^2, Y1^3 * Y3^-1 * Y2 * Y1^2 ]
Map:: polytopal non-degenerate
	R = (1, 41, 2, 42, 7, 47, 20, 60, 32, 72, 12, 52, 25, 65, 36, 76, 19, 59, 5, 45)(3, 43, 11, 51, 29, 69, 22, 62, 10, 50, 4, 44, 15, 55, 33, 73, 21, 61, 13, 53)(6, 46, 18, 58, 35, 75, 26, 66, 8, 48, 24, 64, 17, 57, 34, 74, 23, 63, 9, 49)(14, 54, 27, 67, 37, 77, 40, 80, 30, 70, 16, 56, 28, 68, 38, 78, 39, 79, 31, 71)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 94, 134)(85, 125, 97, 137)(86, 126, 92, 132)(87, 127, 101, 141)(89, 129, 107, 147)(90, 130, 105, 145)(91, 131, 110, 150)(93, 133, 108, 148)(95, 135, 112, 152)(96, 136, 104, 144)(98, 138, 111, 151)(99, 139, 109, 149)(100, 140, 115, 155)(102, 142, 117, 157)(103, 143, 116, 156)(106, 146, 118, 158)(113, 153, 119, 159)(114, 154, 120, 160)
	L = (1, 84)(2, 89)(3, 92)(4, 96)(5, 98)(6, 81)(7, 102)(8, 105)(9, 108)(10, 82)(11, 111)(12, 104)(13, 107)(14, 83)(15, 85)(16, 86)(17, 112)(18, 110)(19, 113)(20, 114)(21, 116)(22, 118)(23, 87)(24, 94)(25, 93)(26, 117)(27, 88)(28, 90)(29, 100)(30, 95)(31, 97)(32, 91)(33, 120)(34, 119)(35, 99)(36, 106)(37, 101)(38, 103)(39, 109)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E9.523
Graph:: simple bipartite
	v = 24 e = 80 f = 40
	degree seq :: [ 4^20, 20^4 ]

E9.526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1 * Y3^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1, (Y1 * Y2 * Y1)^2, Y1^3 * Y3 * Y2 * Y1^2, Y1 * Y2 * Y1^-3 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 20, 60, 31, 71, 14, 54, 27, 67, 36, 76, 19, 59, 5, 45)(3, 43, 11, 51, 29, 69, 23, 63, 9, 49, 6, 46, 18, 58, 35, 75, 21, 61, 13, 53)(4, 44, 15, 55, 33, 73, 26, 66, 8, 48, 24, 64, 17, 57, 34, 74, 22, 62, 10, 50)(12, 52, 25, 65, 37, 77, 40, 80, 30, 70, 16, 56, 28, 68, 38, 78, 39, 79, 32, 72)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 94, 134)(85, 125, 97, 137)(86, 126, 92, 132)(87, 127, 101, 141)(89, 129, 107, 147)(90, 130, 105, 145)(91, 131, 110, 150)(93, 133, 108, 148)(95, 135, 112, 152)(96, 136, 104, 144)(98, 138, 111, 151)(99, 139, 109, 149)(100, 140, 113, 153)(102, 142, 116, 156)(103, 143, 117, 157)(106, 146, 118, 158)(114, 154, 120, 160)(115, 155, 119, 159)
	L = (1, 84)(2, 89)(3, 92)(4, 96)(5, 98)(6, 81)(7, 102)(8, 105)(9, 108)(10, 82)(11, 111)(12, 104)(13, 107)(14, 83)(15, 85)(16, 86)(17, 112)(18, 110)(19, 113)(20, 109)(21, 117)(22, 118)(23, 87)(24, 94)(25, 93)(26, 116)(27, 88)(28, 90)(29, 119)(30, 95)(31, 97)(32, 91)(33, 120)(34, 100)(35, 99)(36, 101)(37, 106)(38, 103)(39, 114)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E9.524
Graph:: bipartite
	v = 24 e = 80 f = 40
	degree seq :: [ 4^20, 20^4 ]

E9.527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x C2 x C2 x D10 (small group id <80, 51>)
|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)^10 ]
Map:: polytopal 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, 38, 78)(39, 79, 40, 80)(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, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.528
Graph:: simple bipartite
	v = 40 e = 80 f = 24
	degree seq :: [ 4^40 ]

E9.528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x C2 x C2 x D10 (small group id <80, 51>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (Y1^-1 * Y2)^2, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 41, 2, 42, 6, 46, 13, 53, 21, 61, 29, 69, 28, 68, 20, 60, 12, 52, 5, 45)(3, 43, 9, 49, 17, 57, 25, 65, 33, 73, 36, 76, 30, 70, 22, 62, 14, 54, 7, 47)(4, 44, 11, 51, 19, 59, 27, 67, 35, 75, 37, 77, 31, 71, 23, 63, 15, 55, 8, 48)(10, 50, 16, 56, 24, 64, 32, 72, 38, 78, 40, 80, 39, 79, 34, 74, 26, 66, 18, 58)(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, 116, 156)(111, 151, 118, 158)(115, 155, 119, 159)(117, 157, 120, 160)
	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, 117)(30, 118)(31, 101)(32, 102)(33, 119)(34, 105)(35, 108)(36, 120)(37, 109)(38, 110)(39, 113)(40, 116)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E9.527
Graph:: simple bipartite
	v = 24 e = 80 f = 40
	degree seq :: [ 4^20, 20^4 ]

E9.529 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 10})
Quotient :: edge
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1 * T2 * T1^-1, T2^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 28, 20, 12, 5)(2, 7, 15, 23, 31, 38, 32, 24, 16, 8)(4, 11, 19, 27, 35, 39, 34, 26, 18, 10)(6, 13, 21, 29, 36, 40, 37, 30, 22, 14)(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, 76, 74)(68, 71, 77, 75)(73, 78, 80, 79)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E9.530
Transitivity :: ET+
Graph:: simple bipartite
	v = 14 e = 40 f = 10
	degree seq :: [ 4^10, 10^4 ]

E9.530 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 10})
Quotient :: loop
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, T2^-2 * T1^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1)^10 ]
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, 79)(38, 80)(39, 78)(40, 77)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.529
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 40 f = 14
	degree seq :: [ 8^10 ]

E9.531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (Y3^-1 * Y1^-1)^4, Y2^10 ]
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, 36, 76, 34, 74)(28, 68, 31, 71, 37, 77, 35, 75)(33, 73, 38, 78, 40, 80, 39, 79)(81, 121, 83, 123, 89, 129, 97, 137, 105, 145, 113, 153, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 87, 127, 95, 135, 103, 143, 111, 151, 118, 158, 112, 152, 104, 144, 96, 136, 88, 128)(84, 124, 91, 131, 99, 139, 107, 147, 115, 155, 119, 159, 114, 154, 106, 146, 98, 138, 90, 130)(86, 126, 93, 133, 101, 141, 109, 149, 116, 156, 120, 160, 117, 157, 110, 150, 102, 142, 94, 134)
	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, 116)(30, 102)(31, 118)(32, 104)(33, 108)(34, 106)(35, 119)(36, 120)(37, 110)(38, 112)(39, 114)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 8, 2, 8, 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 E9.532
Graph:: bipartite
	v = 14 e = 80 f = 50
	degree seq :: [ 8^10, 20^4 ]

E9.532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^4 * Y2 * Y3^-6 * Y2^-1, (Y3^-1 * Y1^-1)^10 ]
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, 116, 156, 114, 154)(108, 148, 111, 151, 117, 157, 115, 155)(113, 153, 118, 158, 120, 160, 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, 116)(30, 102)(31, 118)(32, 104)(33, 108)(34, 106)(35, 119)(36, 120)(37, 110)(38, 112)(39, 114)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.531
Graph:: simple bipartite
	v = 50 e = 80 f = 14
	degree seq :: [ 2^40, 8^10 ]

E9.533 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 10})
Quotient :: edge
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 1
Presentation :: [ X1^4, X2 * X1^-1 * X2 * X1 * X2^2, (X1^-1 * X2 * X1^-1)^2, X2^3 * X1 * X2^-1 * X1^-1, (X2^-1 * X1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 18, 11)(5, 14, 17, 15)(7, 19, 13, 21)(8, 22, 12, 23)(10, 26, 32, 27)(16, 25, 31, 28)(20, 34, 30, 35)(24, 33, 29, 36)(37, 39, 38, 40)(41, 43, 50, 61, 76, 80, 75, 63, 56, 45)(42, 47, 60, 54, 66, 77, 65, 49, 64, 48)(44, 52, 69, 51, 68, 78, 67, 55, 70, 53)(46, 57, 71, 62, 74, 79, 73, 59, 72, 58)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 14 e = 40 f = 10
	degree seq :: [ 4^10, 10^4 ]

E9.534 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 10})
Quotient :: loop
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 1
Presentation :: [ X1^4, X2^4, (X2 * X1^-1)^2, X2^-1 * X1^2 * X2^2 * X1^-1 * X2^-1 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 2, 42, 6, 46, 4, 44)(3, 43, 9, 49, 18, 58, 8, 48)(5, 45, 11, 51, 22, 62, 13, 53)(7, 47, 16, 56, 28, 68, 15, 55)(10, 50, 21, 61, 33, 73, 20, 60)(12, 52, 14, 54, 26, 66, 24, 64)(17, 57, 31, 71, 25, 65, 30, 70)(19, 59, 27, 67, 36, 76, 32, 72)(23, 63, 35, 75, 37, 77, 29, 69)(34, 74, 38, 78, 40, 80, 39, 79)
	L = (1, 43)(2, 47)(3, 50)(4, 51)(5, 41)(6, 54)(7, 57)(8, 42)(9, 59)(10, 45)(11, 63)(12, 44)(13, 61)(14, 67)(15, 46)(16, 69)(17, 48)(18, 71)(19, 66)(20, 49)(21, 74)(22, 70)(23, 52)(24, 75)(25, 53)(26, 60)(27, 55)(28, 76)(29, 62)(30, 56)(31, 78)(32, 58)(33, 64)(34, 65)(35, 79)(36, 80)(37, 68)(38, 72)(39, 73)(40, 77)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 10 e = 40 f = 14
	degree seq :: [ 8^10 ]

E9.535 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 4, 10})
Quotient :: loop
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ F^2, F * T2 * F * T1, T1^4, (T2 * T1^-1)^2, T2^4, T2 * T1 * T2^2 * T1^-1 * T2^-1 * T1^-2, (T2^-1 * T1^-1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 17, 8)(4, 11, 23, 12)(6, 14, 27, 15)(9, 19, 26, 20)(13, 21, 34, 25)(16, 29, 22, 30)(18, 31, 38, 32)(24, 35, 39, 33)(28, 36, 40, 37)(41, 42, 46, 44)(43, 49, 58, 48)(45, 51, 62, 53)(47, 56, 68, 55)(50, 61, 73, 60)(52, 54, 66, 64)(57, 71, 65, 70)(59, 67, 76, 72)(63, 75, 77, 69)(74, 78, 80, 79)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E9.536
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 20 e = 40 f = 4
	degree seq :: [ 4^20 ]

E9.536 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 4, 10})
Quotient :: edge
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, F * T1 * T2 * F * T1^-1, T2 * T1^-1 * T2 * T1 * T2^2, (T2 * T1^-2)^2, T1^-1 * T2^3 * T1 * T2^-1, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 41, 3, 43, 10, 50, 21, 61, 36, 76, 40, 80, 35, 75, 23, 63, 16, 56, 5, 45)(2, 42, 7, 47, 20, 60, 14, 54, 26, 66, 37, 77, 25, 65, 9, 49, 24, 64, 8, 48)(4, 44, 12, 52, 29, 69, 11, 51, 28, 68, 38, 78, 27, 67, 15, 55, 30, 70, 13, 53)(6, 46, 17, 57, 31, 71, 22, 62, 34, 74, 39, 79, 33, 73, 19, 59, 32, 72, 18, 58)
	L = (1, 42)(2, 46)(3, 49)(4, 41)(5, 54)(6, 44)(7, 59)(8, 62)(9, 58)(10, 66)(11, 43)(12, 63)(13, 61)(14, 57)(15, 45)(16, 65)(17, 55)(18, 51)(19, 53)(20, 74)(21, 47)(22, 52)(23, 48)(24, 73)(25, 71)(26, 72)(27, 50)(28, 56)(29, 76)(30, 75)(31, 68)(32, 67)(33, 69)(34, 70)(35, 60)(36, 64)(37, 79)(38, 80)(39, 78)(40, 77)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E9.535
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 4 e = 40 f = 20
	degree seq :: [ 20^4 ]

E9.537 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 10})
Quotient :: edge^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1^-1, Y2^4, Y1^4, (Y2 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y2^4, Y3^-3 * Y2 * Y1, Y1 * Y3 * Y2 * Y3^-2, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44, 16, 56, 12, 52, 34, 74, 40, 80, 33, 73, 21, 61, 27, 67, 7, 47)(2, 42, 9, 49, 29, 69, 24, 64, 18, 58, 38, 78, 23, 63, 6, 46, 22, 62, 11, 51)(3, 43, 5, 45, 20, 60, 15, 55, 17, 57, 37, 77, 36, 76, 25, 65, 26, 66, 14, 54)(8, 48, 28, 68, 39, 79, 32, 72, 30, 70, 35, 75, 13, 53, 10, 50, 31, 71, 19, 59)(81, 82, 88, 85)(83, 92, 89, 90)(84, 86, 99, 97)(87, 104, 108, 106)(91, 112, 100, 101)(93, 95, 114, 102)(94, 113, 109, 110)(96, 98, 111, 105)(103, 119, 117, 107)(115, 116, 120, 118)(121, 123, 133, 126)(122, 127, 145, 130)(124, 135, 155, 138)(125, 139, 143, 141)(128, 131, 153, 146)(129, 136, 156, 150)(132, 134, 152, 142)(137, 151, 144, 147)(140, 159, 158, 154)(148, 149, 160, 157)
	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 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E9.540
Graph:: simple bipartite
	v = 24 e = 80 f = 40
	degree seq :: [ 4^20, 20^4 ]

E9.538 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 10})
Quotient :: edge^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ Y3, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y1^4, (Y2 * Y1^-1)^2, Y2^-1 * Y1^2 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^10 ]
Map:: polytopal
	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, 82, 86, 84)(83, 89, 98, 88)(85, 91, 102, 93)(87, 96, 108, 95)(90, 101, 113, 100)(92, 94, 106, 104)(97, 111, 105, 110)(99, 107, 116, 112)(103, 115, 117, 109)(114, 118, 120, 119)(121, 123, 130, 125)(122, 127, 137, 128)(124, 131, 143, 132)(126, 134, 147, 135)(129, 139, 146, 140)(133, 141, 154, 145)(136, 149, 142, 150)(138, 151, 158, 152)(144, 155, 159, 153)(148, 156, 160, 157)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E9.539
Graph:: simple bipartite
	v = 60 e = 80 f = 4
	degree seq :: [ 2^40, 4^20 ]

E9.539 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 10})
Quotient :: loop^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1^-1, Y2^4, Y1^4, (Y2 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y2^4, Y3^-3 * Y2 * Y1, Y1 * Y3 * Y2 * Y3^-2, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 16, 56, 96, 136, 12, 52, 92, 132, 34, 74, 114, 154, 40, 80, 120, 160, 33, 73, 113, 153, 21, 61, 101, 141, 27, 67, 107, 147, 7, 47, 87, 127)(2, 42, 82, 122, 9, 49, 89, 129, 29, 69, 109, 149, 24, 64, 104, 144, 18, 58, 98, 138, 38, 78, 118, 158, 23, 63, 103, 143, 6, 46, 86, 126, 22, 62, 102, 142, 11, 51, 91, 131)(3, 43, 83, 123, 5, 45, 85, 125, 20, 60, 100, 140, 15, 55, 95, 135, 17, 57, 97, 137, 37, 77, 117, 157, 36, 76, 116, 156, 25, 65, 105, 145, 26, 66, 106, 146, 14, 54, 94, 134)(8, 48, 88, 128, 28, 68, 108, 148, 39, 79, 119, 159, 32, 72, 112, 152, 30, 70, 110, 150, 35, 75, 115, 155, 13, 53, 93, 133, 10, 50, 90, 130, 31, 71, 111, 151, 19, 59, 99, 139)
	L = (1, 42)(2, 48)(3, 52)(4, 46)(5, 41)(6, 59)(7, 64)(8, 45)(9, 50)(10, 43)(11, 72)(12, 49)(13, 55)(14, 73)(15, 74)(16, 58)(17, 44)(18, 71)(19, 57)(20, 61)(21, 51)(22, 53)(23, 79)(24, 68)(25, 56)(26, 47)(27, 63)(28, 66)(29, 70)(30, 54)(31, 65)(32, 60)(33, 69)(34, 62)(35, 76)(36, 80)(37, 67)(38, 75)(39, 77)(40, 78)(81, 123)(82, 127)(83, 133)(84, 135)(85, 139)(86, 121)(87, 145)(88, 131)(89, 136)(90, 122)(91, 153)(92, 134)(93, 126)(94, 152)(95, 155)(96, 156)(97, 151)(98, 124)(99, 143)(100, 159)(101, 125)(102, 132)(103, 141)(104, 147)(105, 130)(106, 128)(107, 137)(108, 149)(109, 160)(110, 129)(111, 144)(112, 142)(113, 146)(114, 140)(115, 138)(116, 150)(117, 148)(118, 154)(119, 158)(120, 157)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.538
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 60
	degree seq :: [ 40^4 ]

E9.540 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 10})
Quotient :: loop^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ Y3, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y1^4, (Y2 * Y1^-1)^2, Y2^-1 * Y1^2 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121)(2, 42, 82, 122)(3, 43, 83, 123)(4, 44, 84, 124)(5, 45, 85, 125)(6, 46, 86, 126)(7, 47, 87, 127)(8, 48, 88, 128)(9, 49, 89, 129)(10, 50, 90, 130)(11, 51, 91, 131)(12, 52, 92, 132)(13, 53, 93, 133)(14, 54, 94, 134)(15, 55, 95, 135)(16, 56, 96, 136)(17, 57, 97, 137)(18, 58, 98, 138)(19, 59, 99, 139)(20, 60, 100, 140)(21, 61, 101, 141)(22, 62, 102, 142)(23, 63, 103, 143)(24, 64, 104, 144)(25, 65, 105, 145)(26, 66, 106, 146)(27, 67, 107, 147)(28, 68, 108, 148)(29, 69, 109, 149)(30, 70, 110, 150)(31, 71, 111, 151)(32, 72, 112, 152)(33, 73, 113, 153)(34, 74, 114, 154)(35, 75, 115, 155)(36, 76, 116, 156)(37, 77, 117, 157)(38, 78, 118, 158)(39, 79, 119, 159)(40, 80, 120, 160)
	L = (1, 42)(2, 46)(3, 49)(4, 41)(5, 51)(6, 44)(7, 56)(8, 43)(9, 58)(10, 61)(11, 62)(12, 54)(13, 45)(14, 66)(15, 47)(16, 68)(17, 71)(18, 48)(19, 67)(20, 50)(21, 73)(22, 53)(23, 75)(24, 52)(25, 70)(26, 64)(27, 76)(28, 55)(29, 63)(30, 57)(31, 65)(32, 59)(33, 60)(34, 78)(35, 77)(36, 72)(37, 69)(38, 80)(39, 74)(40, 79)(81, 123)(82, 127)(83, 130)(84, 131)(85, 121)(86, 134)(87, 137)(88, 122)(89, 139)(90, 125)(91, 143)(92, 124)(93, 141)(94, 147)(95, 126)(96, 149)(97, 128)(98, 151)(99, 146)(100, 129)(101, 154)(102, 150)(103, 132)(104, 155)(105, 133)(106, 140)(107, 135)(108, 156)(109, 142)(110, 136)(111, 158)(112, 138)(113, 144)(114, 145)(115, 159)(116, 160)(117, 148)(118, 152)(119, 153)(120, 157)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.537
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 80 f = 24
	degree seq :: [ 4^40 ]

E9.541 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 20, 20})
Quotient :: regular
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1, T1^20 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 36, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 40, 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, 40)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 20 f = 2
	degree seq :: [ 20^2 ]

E9.542 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 20, 20})
Quotient :: edge
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^20 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 36, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 40, 38, 34, 30, 26, 22, 18, 14, 10, 6)(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) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E9.543
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 40 f = 2
	degree seq :: [ 2^20, 20^2 ]

E9.543 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 20, 20})
Quotient :: loop
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^20 ]
Map::
	R = (1, 41, 3, 43, 7, 47, 11, 51, 15, 55, 19, 59, 23, 63, 27, 67, 31, 71, 35, 75, 39, 79, 36, 76, 32, 72, 28, 68, 24, 64, 20, 60, 16, 56, 12, 52, 8, 48, 4, 44)(2, 42, 5, 45, 9, 49, 13, 53, 17, 57, 21, 61, 25, 65, 29, 69, 33, 73, 37, 77, 40, 80, 38, 78, 34, 74, 30, 70, 26, 66, 22, 62, 18, 58, 14, 54, 10, 50, 6, 46)
	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, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.542
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 22
	degree seq :: [ 40^2 ]

E9.544 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^20, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 5, 45)(4, 44, 6, 46)(7, 47, 9, 49)(8, 48, 10, 50)(11, 51, 13, 53)(12, 52, 14, 54)(15, 55, 17, 57)(16, 56, 18, 58)(19, 59, 21, 61)(20, 60, 22, 62)(23, 63, 25, 65)(24, 64, 26, 66)(27, 67, 29, 69)(28, 68, 30, 70)(31, 71, 33, 73)(32, 72, 34, 74)(35, 75, 37, 77)(36, 76, 38, 78)(39, 79, 40, 80)(81, 121, 83, 123, 87, 127, 91, 131, 95, 135, 99, 139, 103, 143, 107, 147, 111, 151, 115, 155, 119, 159, 116, 156, 112, 152, 108, 148, 104, 144, 100, 140, 96, 136, 92, 132, 88, 128, 84, 124)(82, 122, 85, 125, 89, 129, 93, 133, 97, 137, 101, 141, 105, 145, 109, 149, 113, 153, 117, 157, 120, 160, 118, 158, 114, 154, 110, 150, 106, 146, 102, 142, 98, 138, 94, 134, 90, 130, 86, 126)
	L = (1, 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, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E9.545
Graph:: bipartite
	v = 22 e = 80 f = 42
	degree seq :: [ 4^20, 40^2 ]

E9.545 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-20, 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, 36, 76, 32, 72, 28, 68, 24, 64, 20, 60, 16, 56, 12, 52, 8, 48, 4, 44)(3, 43, 6, 46, 10, 50, 14, 54, 18, 58, 22, 62, 26, 66, 30, 70, 34, 74, 38, 78, 40, 80, 39, 79, 35, 75, 31, 71, 27, 67, 23, 63, 19, 59, 15, 55, 11, 51, 7, 47)(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, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E9.544
Graph:: simple bipartite
	v = 42 e = 80 f = 22
	degree seq :: [ 2^40, 40^2 ]

E9.546 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 14, 21})
Quotient :: regular
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1^3 * T2 * T1^-3, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T1^2 * T2 * T1^2 * T2 * T1^3 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 34, 41, 32, 16, 28, 39, 42, 33, 17, 29, 40, 31, 38, 22, 10, 4)(3, 7, 15, 24, 37, 21, 30, 14, 6, 13, 27, 36, 20, 9, 19, 26, 12, 25, 35, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 34)(19, 32)(20, 33)(22, 35)(23, 36)(25, 39)(26, 40)(27, 38)(30, 41)(37, 42)
	local type(s) :: { ( 14^21 ) }
Outer automorphisms :: reflexible
Dual of E9.547
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 21 f = 3
	degree seq :: [ 21^2 ]

E9.547 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 14, 21})
Quotient :: regular
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^-2 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^14 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 41, 40, 42, 39, 31, 19, 10, 4)(3, 7, 12, 22, 33, 29, 38, 24, 37, 23, 36, 28, 17, 8)(6, 13, 21, 34, 27, 16, 26, 15, 25, 35, 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, 32)(28, 34)(31, 36)(37, 42)(38, 41)
	local type(s) :: { ( 21^14 ) }
Outer automorphisms :: reflexible
Dual of E9.546
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 3 e = 21 f = 2
	degree seq :: [ 14^3 ]

E9.548 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 14, 21})
Quotient :: edge
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-2, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^14 ]
Map::
	R = (1, 3, 8, 17, 28, 36, 42, 34, 41, 32, 31, 19, 10, 4)(2, 5, 12, 22, 35, 29, 40, 27, 39, 25, 38, 24, 14, 6)(7, 15, 26, 37, 23, 13, 21, 11, 20, 33, 30, 18, 9, 16)(43, 44)(45, 49)(46, 51)(47, 53)(48, 55)(50, 54)(52, 56)(57, 67)(58, 69)(59, 68)(60, 71)(61, 72)(62, 74)(63, 76)(64, 75)(65, 78)(66, 79)(70, 77)(73, 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) :: { ( 42, 42 ), ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E9.552
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 42 f = 2
	degree seq :: [ 2^21, 14^3 ]

E9.549 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 14, 21})
Quotient :: edge
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2^-1 * T1 * T2^-1, T1 * T2^-3 * T1^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 21, 38, 42, 35, 20, 13, 28, 18, 6, 17, 34, 41, 37, 30, 33, 15, 5)(2, 7, 19, 36, 26, 32, 39, 23, 9, 4, 12, 29, 16, 14, 31, 40, 24, 11, 27, 22, 8)(43, 44, 48, 58, 67, 78, 83, 82, 84, 81, 75, 69, 55, 46)(45, 51, 59, 50, 63, 71, 79, 61, 77, 73, 57, 74, 70, 53)(47, 56, 60, 68, 52, 66, 76, 65, 80, 64, 72, 54, 62, 49)
	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) :: { ( 4^14 ), ( 4^21 ) }
Outer automorphisms :: reflexible
Dual of E9.553
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 21
	degree seq :: [ 14^3, 21^2 ]

E9.550 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 14, 21})
Quotient :: edge
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ 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, T1^2 * T2 * T1^2 * T2 * T1^3 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 34)(19, 32)(20, 33)(22, 35)(23, 36)(25, 39)(26, 40)(27, 38)(30, 41)(37, 42)(43, 44, 47, 53, 65, 76, 83, 74, 58, 70, 81, 84, 75, 59, 71, 82, 73, 80, 64, 52, 46)(45, 49, 57, 66, 79, 63, 72, 56, 48, 55, 69, 78, 62, 51, 61, 68, 54, 67, 77, 60, 50)
	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, 28 ), ( 28^21 ) }
Outer automorphisms :: reflexible
Dual of E9.551
Transitivity :: ET+
Graph:: simple bipartite
	v = 23 e = 42 f = 3
	degree seq :: [ 2^21, 21^2 ]

E9.551 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 14, 21})
Quotient :: loop
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-2, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^14 ]
Map::
	R = (1, 43, 3, 45, 8, 50, 17, 59, 28, 70, 36, 78, 42, 84, 34, 76, 41, 83, 32, 74, 31, 73, 19, 61, 10, 52, 4, 46)(2, 44, 5, 47, 12, 54, 22, 64, 35, 77, 29, 71, 40, 82, 27, 69, 39, 81, 25, 67, 38, 80, 24, 66, 14, 56, 6, 48)(7, 49, 15, 57, 26, 68, 37, 79, 23, 65, 13, 55, 21, 63, 11, 53, 20, 62, 33, 75, 30, 72, 18, 60, 9, 51, 16, 58)
	L = (1, 44)(2, 43)(3, 49)(4, 51)(5, 53)(6, 55)(7, 45)(8, 54)(9, 46)(10, 56)(11, 47)(12, 50)(13, 48)(14, 52)(15, 67)(16, 69)(17, 68)(18, 71)(19, 72)(20, 74)(21, 76)(22, 75)(23, 78)(24, 79)(25, 57)(26, 59)(27, 58)(28, 77)(29, 60)(30, 61)(31, 80)(32, 62)(33, 64)(34, 63)(35, 70)(36, 65)(37, 66)(38, 73)(39, 83)(40, 84)(41, 81)(42, 82)
	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 ) }
Outer automorphisms :: reflexible
Dual of E9.550
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 23
	degree seq :: [ 28^3 ]

E9.552 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 14, 21})
Quotient :: loop
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2^-1 * T1 * T2^-1, T1 * T2^-3 * T1^3 ]
Map::
	R = (1, 43, 3, 45, 10, 52, 25, 67, 21, 63, 38, 80, 42, 84, 35, 77, 20, 62, 13, 55, 28, 70, 18, 60, 6, 48, 17, 59, 34, 76, 41, 83, 37, 79, 30, 72, 33, 75, 15, 57, 5, 47)(2, 44, 7, 49, 19, 61, 36, 78, 26, 68, 32, 74, 39, 81, 23, 65, 9, 51, 4, 46, 12, 54, 29, 71, 16, 58, 14, 56, 31, 73, 40, 82, 24, 66, 11, 53, 27, 69, 22, 64, 8, 50)
	L = (1, 44)(2, 48)(3, 51)(4, 43)(5, 56)(6, 58)(7, 47)(8, 63)(9, 59)(10, 66)(11, 45)(12, 62)(13, 46)(14, 60)(15, 74)(16, 67)(17, 50)(18, 68)(19, 77)(20, 49)(21, 71)(22, 72)(23, 80)(24, 76)(25, 78)(26, 52)(27, 55)(28, 53)(29, 79)(30, 54)(31, 57)(32, 70)(33, 69)(34, 65)(35, 73)(36, 83)(37, 61)(38, 64)(39, 75)(40, 84)(41, 82)(42, 81)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E9.548
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 24
	degree seq :: [ 42^2 ]

E9.553 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 14, 21})
Quotient :: loop
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ 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, T1^2 * T2 * T1^2 * T2 * T1^3 ]
Map:: polytopal non-degenerate
	R = (1, 43, 3, 45)(2, 44, 6, 48)(4, 46, 9, 51)(5, 47, 12, 54)(7, 49, 16, 58)(8, 50, 17, 59)(10, 52, 21, 63)(11, 53, 24, 66)(13, 55, 28, 70)(14, 56, 29, 71)(15, 57, 31, 73)(18, 60, 34, 76)(19, 61, 32, 74)(20, 62, 33, 75)(22, 64, 35, 77)(23, 65, 36, 78)(25, 67, 39, 81)(26, 68, 40, 82)(27, 69, 38, 80)(30, 72, 41, 83)(37, 79, 42, 84)
	L = (1, 44)(2, 47)(3, 49)(4, 43)(5, 53)(6, 55)(7, 57)(8, 45)(9, 61)(10, 46)(11, 65)(12, 67)(13, 69)(14, 48)(15, 66)(16, 70)(17, 71)(18, 50)(19, 68)(20, 51)(21, 72)(22, 52)(23, 76)(24, 79)(25, 77)(26, 54)(27, 78)(28, 81)(29, 82)(30, 56)(31, 80)(32, 58)(33, 59)(34, 83)(35, 60)(36, 62)(37, 63)(38, 64)(39, 84)(40, 73)(41, 74)(42, 75)
	local type(s) :: { ( 14, 21, 14, 21 ) }
Outer automorphisms :: reflexible
Dual of E9.549
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 21 e = 42 f = 5
	degree seq :: [ 4^21 ]

E9.554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2 * R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, R * Y2^5 * R * Y2^-1 * Y1 * Y2^-1, R * Y2 * Y1 * Y2 * R * Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 9, 51)(5, 47, 11, 53)(6, 48, 13, 55)(8, 50, 12, 54)(10, 52, 14, 56)(15, 57, 25, 67)(16, 58, 27, 69)(17, 59, 26, 68)(18, 60, 29, 71)(19, 61, 30, 72)(20, 62, 32, 74)(21, 63, 34, 76)(22, 64, 33, 75)(23, 65, 36, 78)(24, 66, 37, 79)(28, 70, 35, 77)(31, 73, 38, 80)(39, 81, 41, 83)(40, 82, 42, 84)(85, 127, 87, 129, 92, 134, 101, 143, 112, 154, 120, 162, 126, 168, 118, 160, 125, 167, 116, 158, 115, 157, 103, 145, 94, 136, 88, 130)(86, 128, 89, 131, 96, 138, 106, 148, 119, 161, 113, 155, 124, 166, 111, 153, 123, 165, 109, 151, 122, 164, 108, 150, 98, 140, 90, 132)(91, 133, 99, 141, 110, 152, 121, 163, 107, 149, 97, 139, 105, 147, 95, 137, 104, 146, 117, 159, 114, 156, 102, 144, 93, 135, 100, 142)
	L = (1, 86)(2, 85)(3, 91)(4, 93)(5, 95)(6, 97)(7, 87)(8, 96)(9, 88)(10, 98)(11, 89)(12, 92)(13, 90)(14, 94)(15, 109)(16, 111)(17, 110)(18, 113)(19, 114)(20, 116)(21, 118)(22, 117)(23, 120)(24, 121)(25, 99)(26, 101)(27, 100)(28, 119)(29, 102)(30, 103)(31, 122)(32, 104)(33, 106)(34, 105)(35, 112)(36, 107)(37, 108)(38, 115)(39, 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 ) }
Outer automorphisms :: reflexible
Dual of E9.557
Graph:: bipartite
	v = 24 e = 84 f = 44
	degree seq :: [ 4^21, 28^3 ]

E9.555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1, Y2^4 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 16, 58, 25, 67, 36, 78, 41, 83, 40, 82, 42, 84, 39, 81, 33, 75, 27, 69, 13, 55, 4, 46)(3, 45, 9, 51, 17, 59, 8, 50, 21, 63, 29, 71, 37, 79, 19, 61, 35, 77, 31, 73, 15, 57, 32, 74, 28, 70, 11, 53)(5, 47, 14, 56, 18, 60, 26, 68, 10, 52, 24, 66, 34, 76, 23, 65, 38, 80, 22, 64, 30, 72, 12, 54, 20, 62, 7, 49)(85, 127, 87, 129, 94, 136, 109, 151, 105, 147, 122, 164, 126, 168, 119, 161, 104, 146, 97, 139, 112, 154, 102, 144, 90, 132, 101, 143, 118, 160, 125, 167, 121, 163, 114, 156, 117, 159, 99, 141, 89, 131)(86, 128, 91, 133, 103, 145, 120, 162, 110, 152, 116, 158, 123, 165, 107, 149, 93, 135, 88, 130, 96, 138, 113, 155, 100, 142, 98, 140, 115, 157, 124, 166, 108, 150, 95, 137, 111, 153, 106, 148, 92, 134)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 101)(7, 103)(8, 86)(9, 88)(10, 109)(11, 111)(12, 113)(13, 112)(14, 115)(15, 89)(16, 98)(17, 118)(18, 90)(19, 120)(20, 97)(21, 122)(22, 92)(23, 93)(24, 95)(25, 105)(26, 116)(27, 106)(28, 102)(29, 100)(30, 117)(31, 124)(32, 123)(33, 99)(34, 125)(35, 104)(36, 110)(37, 114)(38, 126)(39, 107)(40, 108)(41, 121)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E9.556
Graph:: bipartite
	v = 5 e = 84 f = 63
	degree seq :: [ 28^3, 42^2 ]

E9.556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^3 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^4 * Y2 * Y3^2 * Y2 * Y3, (Y3^-1 * Y1^-1)^21 ]
Map:: polytopal
	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, 91, 133)(88, 130, 93, 135)(89, 131, 95, 137)(90, 132, 97, 139)(92, 134, 101, 143)(94, 136, 105, 147)(96, 138, 109, 151)(98, 140, 113, 155)(99, 141, 107, 149)(100, 142, 111, 153)(102, 144, 110, 152)(103, 145, 108, 150)(104, 146, 112, 154)(106, 148, 114, 156)(115, 157, 122, 164)(116, 158, 124, 166)(117, 159, 123, 165)(118, 160, 125, 167)(119, 161, 120, 162)(121, 163, 126, 168)
	L = (1, 87)(2, 89)(3, 92)(4, 85)(5, 96)(6, 86)(7, 99)(8, 102)(9, 103)(10, 88)(11, 107)(12, 110)(13, 111)(14, 90)(15, 115)(16, 91)(17, 117)(18, 119)(19, 118)(20, 93)(21, 116)(22, 94)(23, 123)(24, 95)(25, 122)(26, 121)(27, 125)(28, 97)(29, 124)(30, 98)(31, 120)(32, 100)(33, 114)(34, 101)(35, 113)(36, 104)(37, 105)(38, 106)(39, 126)(40, 108)(41, 109)(42, 112)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 42 ), ( 28, 42, 28, 42 ) }
Outer automorphisms :: reflexible
Dual of E9.555
Graph:: simple bipartite
	v = 63 e = 84 f = 5
	degree seq :: [ 2^42, 4^21 ]

E9.557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^3 * Y3 * Y1^-3, Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3, Y1^2 * Y3 * Y1^2 * Y3 * Y1^3 ]
Map::
	R = (1, 43, 2, 44, 5, 47, 11, 53, 23, 65, 34, 76, 41, 83, 32, 74, 16, 58, 28, 70, 39, 81, 42, 84, 33, 75, 17, 59, 29, 71, 40, 82, 31, 73, 38, 80, 22, 64, 10, 52, 4, 46)(3, 45, 7, 49, 15, 57, 24, 66, 37, 79, 21, 63, 30, 72, 14, 56, 6, 48, 13, 55, 27, 69, 36, 78, 20, 62, 9, 51, 19, 61, 26, 68, 12, 54, 25, 67, 35, 77, 18, 60, 8, 50)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 90)(3, 85)(4, 93)(5, 96)(6, 86)(7, 100)(8, 101)(9, 88)(10, 105)(11, 108)(12, 89)(13, 112)(14, 113)(15, 115)(16, 91)(17, 92)(18, 118)(19, 116)(20, 117)(21, 94)(22, 119)(23, 120)(24, 95)(25, 123)(26, 124)(27, 122)(28, 97)(29, 98)(30, 125)(31, 99)(32, 103)(33, 104)(34, 102)(35, 106)(36, 107)(37, 126)(38, 111)(39, 109)(40, 110)(41, 114)(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, 28 ), ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E9.554
Graph:: simple bipartite
	v = 44 e = 84 f = 24
	degree seq :: [ 2^42, 42^2 ]

E9.558 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-2)^2, Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^3 * Y1 * Y2^2 * Y1 * Y2^2, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 9, 51)(5, 47, 11, 53)(6, 48, 13, 55)(8, 50, 17, 59)(10, 52, 21, 63)(12, 54, 25, 67)(14, 56, 29, 71)(15, 57, 23, 65)(16, 58, 27, 69)(18, 60, 26, 68)(19, 61, 24, 66)(20, 62, 28, 70)(22, 64, 30, 72)(31, 73, 38, 80)(32, 74, 40, 82)(33, 75, 39, 81)(34, 76, 41, 83)(35, 77, 36, 78)(37, 79, 42, 84)(85, 127, 87, 129, 92, 134, 102, 144, 119, 161, 113, 155, 124, 166, 108, 150, 95, 137, 107, 149, 123, 165, 126, 168, 112, 154, 97, 139, 111, 153, 125, 167, 109, 151, 122, 164, 106, 148, 94, 136, 88, 130)(86, 128, 89, 131, 96, 138, 110, 152, 121, 163, 105, 147, 116, 158, 100, 142, 91, 133, 99, 141, 115, 157, 120, 162, 104, 146, 93, 135, 103, 145, 118, 160, 101, 143, 117, 159, 114, 156, 98, 140, 90, 132)
	L = (1, 86)(2, 85)(3, 91)(4, 93)(5, 95)(6, 97)(7, 87)(8, 101)(9, 88)(10, 105)(11, 89)(12, 109)(13, 90)(14, 113)(15, 107)(16, 111)(17, 92)(18, 110)(19, 108)(20, 112)(21, 94)(22, 114)(23, 99)(24, 103)(25, 96)(26, 102)(27, 100)(28, 104)(29, 98)(30, 106)(31, 122)(32, 124)(33, 123)(34, 125)(35, 120)(36, 119)(37, 126)(38, 115)(39, 117)(40, 116)(41, 118)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E9.559
Graph:: bipartite
	v = 23 e = 84 f = 45
	degree seq :: [ 4^21, 42^2 ]

E9.559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-3, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 16, 58, 25, 67, 36, 78, 41, 83, 40, 82, 42, 84, 39, 81, 33, 75, 27, 69, 13, 55, 4, 46)(3, 45, 9, 51, 17, 59, 8, 50, 21, 63, 29, 71, 37, 79, 19, 61, 35, 77, 31, 73, 15, 57, 32, 74, 28, 70, 11, 53)(5, 47, 14, 56, 18, 60, 26, 68, 10, 52, 24, 66, 34, 76, 23, 65, 38, 80, 22, 64, 30, 72, 12, 54, 20, 62, 7, 49)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 101)(7, 103)(8, 86)(9, 88)(10, 109)(11, 111)(12, 113)(13, 112)(14, 115)(15, 89)(16, 98)(17, 118)(18, 90)(19, 120)(20, 97)(21, 122)(22, 92)(23, 93)(24, 95)(25, 105)(26, 116)(27, 106)(28, 102)(29, 100)(30, 117)(31, 124)(32, 123)(33, 99)(34, 125)(35, 104)(36, 110)(37, 114)(38, 126)(39, 107)(40, 108)(41, 121)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 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 E9.558
Graph:: simple bipartite
	v = 45 e = 84 f = 23
	degree seq :: [ 2^42, 28^3 ]

E9.560 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^3, Y1 * Y3 * Y1^-1 * Y2, R * Y2 * R * Y3, (R * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, (Y3 * Y2)^4 ]
Map::
	R = (1, 50, 2, 53, 5, 49)(3, 55, 7, 57, 9, 51)(4, 58, 10, 60, 12, 52)(6, 61, 13, 63, 15, 54)(8, 65, 17, 67, 19, 56)(11, 70, 22, 72, 24, 59)(14, 75, 27, 77, 29, 62)(16, 68, 20, 80, 32, 64)(18, 82, 34, 84, 36, 66)(21, 73, 25, 87, 39, 69)(23, 76, 28, 89, 41, 71)(26, 78, 30, 91, 43, 74)(31, 90, 42, 95, 47, 79)(33, 85, 37, 93, 45, 81)(35, 92, 44, 96, 48, 83)(38, 94, 46, 88, 40, 86)
	L = (1, 3)(2, 6)(4, 11)(5, 12)(7, 16)(8, 18)(9, 19)(10, 21)(13, 26)(14, 28)(15, 29)(17, 33)(20, 38)(22, 40)(23, 35)(24, 41)(25, 42)(27, 37)(30, 46)(31, 44)(32, 47)(34, 43)(36, 48)(39, 45)(49, 52)(50, 55)(51, 56)(53, 61)(54, 62)(57, 68)(58, 70)(59, 71)(60, 73)(63, 78)(64, 79)(65, 82)(66, 83)(67, 85)(69, 81)(72, 86)(74, 84)(75, 89)(76, 92)(77, 93)(80, 94)(87, 95)(88, 91)(90, 96)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 6^16 ]

E9.561 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^3, (R * Y1)^2, R * Y2 * R * Y3, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map::
	R = (1, 50, 2, 52, 4, 49)(3, 54, 6, 55, 7, 51)(5, 57, 9, 58, 10, 53)(8, 61, 13, 62, 14, 56)(11, 65, 17, 66, 18, 59)(12, 67, 19, 68, 20, 60)(15, 71, 23, 72, 24, 63)(16, 73, 25, 74, 26, 64)(21, 79, 31, 80, 32, 69)(22, 81, 33, 82, 34, 70)(27, 87, 39, 86, 38, 75)(28, 88, 40, 84, 36, 76)(29, 89, 41, 85, 37, 77)(30, 90, 42, 91, 43, 78)(35, 93, 45, 92, 44, 83)(46, 96, 48, 95, 47, 94)
	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, 42)(32, 40)(33, 41)(34, 44)(39, 46)(43, 47)(45, 48)(49, 51)(50, 53)(52, 56)(54, 59)(55, 60)(57, 63)(58, 64)(61, 69)(62, 70)(65, 75)(66, 76)(67, 77)(68, 78)(71, 83)(72, 84)(73, 85)(74, 86)(79, 90)(80, 88)(81, 89)(82, 92)(87, 94)(91, 95)(93, 96)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 6^16 ]

E9.562 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, Y2 * Y3 * Y1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^4, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 49, 4, 52, 5, 53)(2, 50, 7, 55, 8, 56)(3, 51, 10, 58, 11, 59)(6, 54, 15, 63, 16, 64)(9, 57, 20, 68, 21, 69)(12, 60, 13, 61, 25, 73)(14, 62, 28, 76, 29, 77)(17, 65, 18, 66, 33, 81)(19, 67, 35, 83, 36, 84)(22, 70, 23, 71, 39, 87)(24, 72, 40, 88, 41, 89)(26, 74, 42, 90, 43, 91)(27, 75, 44, 92, 45, 93)(30, 78, 31, 79, 46, 94)(32, 80, 37, 85, 47, 95)(34, 82, 48, 96, 38, 86)(97, 98)(99, 105)(100, 106)(101, 109)(102, 110)(103, 111)(104, 114)(107, 119)(108, 120)(112, 127)(113, 128)(115, 123)(116, 131)(117, 133)(118, 134)(121, 138)(122, 132)(124, 140)(125, 136)(126, 139)(129, 144)(130, 141)(135, 142)(137, 143)(145, 147)(146, 150)(148, 156)(149, 152)(151, 161)(153, 163)(154, 166)(155, 165)(157, 170)(158, 171)(159, 174)(160, 173)(162, 178)(164, 176)(167, 175)(168, 172)(169, 185)(177, 191)(179, 187)(180, 189)(181, 184)(182, 188)(183, 192)(186, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E9.565
Graph:: simple bipartite
	v = 64 e = 96 f = 16
	degree seq :: [ 2^48, 6^16 ]

E9.563 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, (Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1)^2 ]
Map::
	R = (1, 49, 3, 51, 4, 52)(2, 50, 5, 53, 6, 54)(7, 55, 11, 59, 12, 60)(8, 56, 13, 61, 14, 62)(9, 57, 15, 63, 16, 64)(10, 58, 17, 65, 18, 66)(19, 67, 27, 75, 28, 76)(20, 68, 29, 77, 30, 78)(21, 69, 31, 79, 32, 80)(22, 70, 33, 81, 34, 82)(23, 71, 35, 83, 36, 84)(24, 72, 37, 85, 38, 86)(25, 73, 39, 87, 40, 88)(26, 74, 41, 89, 42, 90)(43, 91, 47, 95, 44, 92)(45, 93, 48, 96, 46, 94)(97, 98)(99, 103)(100, 104)(101, 105)(102, 106)(107, 115)(108, 116)(109, 117)(110, 118)(111, 119)(112, 120)(113, 121)(114, 122)(123, 139)(124, 134)(125, 136)(126, 132)(127, 137)(128, 133)(129, 135)(130, 140)(131, 141)(138, 142)(143, 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, 182)(173, 184)(174, 180)(175, 185)(176, 181)(177, 183)(178, 188)(179, 189)(186, 190)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E9.566
Graph:: simple bipartite
	v = 64 e = 96 f = 16
	degree seq :: [ 2^48, 6^16 ]

E9.564 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 5, 53)(3, 51, 6, 54)(7, 55, 13, 61)(8, 56, 14, 62)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(19, 67, 31, 79)(20, 68, 32, 80)(21, 69, 33, 81)(22, 70, 34, 82)(23, 71, 35, 83)(24, 72, 36, 84)(25, 73, 37, 85)(26, 74, 38, 86)(27, 75, 39, 87)(28, 76, 40, 88)(29, 77, 41, 89)(30, 78, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 98, 99)(100, 103, 104)(101, 105, 106)(102, 107, 108)(109, 115, 116)(110, 117, 118)(111, 119, 120)(112, 121, 122)(113, 123, 124)(114, 125, 126)(127, 139, 134)(128, 136, 132)(129, 137, 133)(130, 135, 140)(131, 141, 138)(142, 144, 143)(145, 147, 146)(148, 152, 151)(149, 154, 153)(150, 156, 155)(157, 164, 163)(158, 166, 165)(159, 168, 167)(160, 170, 169)(161, 172, 171)(162, 174, 173)(175, 182, 187)(176, 180, 184)(177, 181, 185)(178, 188, 183)(179, 186, 189)(190, 191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.567
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 3^32, 4^24 ]

E9.565 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, Y2 * Y3 * Y1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^4, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 11, 59, 107, 155)(6, 54, 102, 150, 15, 63, 111, 159, 16, 64, 112, 160)(9, 57, 105, 153, 20, 68, 116, 164, 21, 69, 117, 165)(12, 60, 108, 156, 13, 61, 109, 157, 25, 73, 121, 169)(14, 62, 110, 158, 28, 76, 124, 172, 29, 77, 125, 173)(17, 65, 113, 161, 18, 66, 114, 162, 33, 81, 129, 177)(19, 67, 115, 163, 35, 83, 131, 179, 36, 84, 132, 180)(22, 70, 118, 166, 23, 71, 119, 167, 39, 87, 135, 183)(24, 72, 120, 168, 40, 88, 136, 184, 41, 89, 137, 185)(26, 74, 122, 170, 42, 90, 138, 186, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188, 45, 93, 141, 189)(30, 78, 126, 174, 31, 79, 127, 175, 46, 94, 142, 190)(32, 80, 128, 176, 37, 85, 133, 181, 47, 95, 143, 191)(34, 82, 130, 178, 48, 96, 144, 192, 38, 86, 134, 182)
	L = (1, 50)(2, 49)(3, 57)(4, 58)(5, 61)(6, 62)(7, 63)(8, 66)(9, 51)(10, 52)(11, 71)(12, 72)(13, 53)(14, 54)(15, 55)(16, 79)(17, 80)(18, 56)(19, 75)(20, 83)(21, 85)(22, 86)(23, 59)(24, 60)(25, 90)(26, 84)(27, 67)(28, 92)(29, 88)(30, 91)(31, 64)(32, 65)(33, 96)(34, 93)(35, 68)(36, 74)(37, 69)(38, 70)(39, 94)(40, 77)(41, 95)(42, 73)(43, 78)(44, 76)(45, 82)(46, 87)(47, 89)(48, 81)(97, 147)(98, 150)(99, 145)(100, 156)(101, 152)(102, 146)(103, 161)(104, 149)(105, 163)(106, 166)(107, 165)(108, 148)(109, 170)(110, 171)(111, 174)(112, 173)(113, 151)(114, 178)(115, 153)(116, 176)(117, 155)(118, 154)(119, 175)(120, 172)(121, 185)(122, 157)(123, 158)(124, 168)(125, 160)(126, 159)(127, 167)(128, 164)(129, 191)(130, 162)(131, 187)(132, 189)(133, 184)(134, 188)(135, 192)(136, 181)(137, 169)(138, 190)(139, 179)(140, 182)(141, 180)(142, 186)(143, 177)(144, 183)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.562
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 64
	degree seq :: [ 12^16 ]

E9.566 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, (Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1)^2 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 6, 54, 102, 150)(7, 55, 103, 151, 11, 59, 107, 155, 12, 60, 108, 156)(8, 56, 104, 152, 13, 61, 109, 157, 14, 62, 110, 158)(9, 57, 105, 153, 15, 63, 111, 159, 16, 64, 112, 160)(10, 58, 106, 154, 17, 65, 113, 161, 18, 66, 114, 162)(19, 67, 115, 163, 27, 75, 123, 171, 28, 76, 124, 172)(20, 68, 116, 164, 29, 77, 125, 173, 30, 78, 126, 174)(21, 69, 117, 165, 31, 79, 127, 175, 32, 80, 128, 176)(22, 70, 118, 166, 33, 81, 129, 177, 34, 82, 130, 178)(23, 71, 119, 167, 35, 83, 131, 179, 36, 84, 132, 180)(24, 72, 120, 168, 37, 85, 133, 181, 38, 86, 134, 182)(25, 73, 121, 169, 39, 87, 135, 183, 40, 88, 136, 184)(26, 74, 122, 170, 41, 89, 137, 185, 42, 90, 138, 186)(43, 91, 139, 187, 47, 95, 143, 191, 44, 92, 140, 188)(45, 93, 141, 189, 48, 96, 144, 192, 46, 94, 142, 190)
	L = (1, 50)(2, 49)(3, 55)(4, 56)(5, 57)(6, 58)(7, 51)(8, 52)(9, 53)(10, 54)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 91)(28, 86)(29, 88)(30, 84)(31, 89)(32, 85)(33, 87)(34, 92)(35, 93)(36, 78)(37, 80)(38, 76)(39, 81)(40, 77)(41, 79)(42, 94)(43, 75)(44, 82)(45, 83)(46, 90)(47, 96)(48, 95)(97, 146)(98, 145)(99, 151)(100, 152)(101, 153)(102, 154)(103, 147)(104, 148)(105, 149)(106, 150)(107, 163)(108, 164)(109, 165)(110, 166)(111, 167)(112, 168)(113, 169)(114, 170)(115, 155)(116, 156)(117, 157)(118, 158)(119, 159)(120, 160)(121, 161)(122, 162)(123, 187)(124, 182)(125, 184)(126, 180)(127, 185)(128, 181)(129, 183)(130, 188)(131, 189)(132, 174)(133, 176)(134, 172)(135, 177)(136, 173)(137, 175)(138, 190)(139, 171)(140, 178)(141, 179)(142, 186)(143, 192)(144, 191)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.563
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 64
	degree seq :: [ 12^16 ]

E9.567 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149)(3, 51, 99, 147, 6, 54, 102, 150)(7, 55, 103, 151, 13, 61, 109, 157)(8, 56, 104, 152, 14, 62, 110, 158)(9, 57, 105, 153, 15, 63, 111, 159)(10, 58, 106, 154, 16, 64, 112, 160)(11, 59, 107, 155, 17, 65, 113, 161)(12, 60, 108, 156, 18, 66, 114, 162)(19, 67, 115, 163, 31, 79, 127, 175)(20, 68, 116, 164, 32, 80, 128, 176)(21, 69, 117, 165, 33, 81, 129, 177)(22, 70, 118, 166, 34, 82, 130, 178)(23, 71, 119, 167, 35, 83, 131, 179)(24, 72, 120, 168, 36, 84, 132, 180)(25, 73, 121, 169, 37, 85, 133, 181)(26, 74, 122, 170, 38, 86, 134, 182)(27, 75, 123, 171, 39, 87, 135, 183)(28, 76, 124, 172, 40, 88, 136, 184)(29, 77, 125, 173, 41, 89, 137, 185)(30, 78, 126, 174, 42, 90, 138, 186)(43, 91, 139, 187, 46, 94, 142, 190)(44, 92, 140, 188, 47, 95, 143, 191)(45, 93, 141, 189, 48, 96, 144, 192)
	L = (1, 50)(2, 51)(3, 49)(4, 55)(5, 57)(6, 59)(7, 56)(8, 52)(9, 58)(10, 53)(11, 60)(12, 54)(13, 67)(14, 69)(15, 71)(16, 73)(17, 75)(18, 77)(19, 68)(20, 61)(21, 70)(22, 62)(23, 72)(24, 63)(25, 74)(26, 64)(27, 76)(28, 65)(29, 78)(30, 66)(31, 91)(32, 88)(33, 89)(34, 87)(35, 93)(36, 80)(37, 81)(38, 79)(39, 92)(40, 84)(41, 85)(42, 83)(43, 86)(44, 82)(45, 90)(46, 96)(47, 94)(48, 95)(97, 147)(98, 145)(99, 146)(100, 152)(101, 154)(102, 156)(103, 148)(104, 151)(105, 149)(106, 153)(107, 150)(108, 155)(109, 164)(110, 166)(111, 168)(112, 170)(113, 172)(114, 174)(115, 157)(116, 163)(117, 158)(118, 165)(119, 159)(120, 167)(121, 160)(122, 169)(123, 161)(124, 171)(125, 162)(126, 173)(127, 182)(128, 180)(129, 181)(130, 188)(131, 186)(132, 184)(133, 185)(134, 187)(135, 178)(136, 176)(137, 177)(138, 189)(139, 175)(140, 183)(141, 179)(142, 191)(143, 192)(144, 190)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.564
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 56
	degree seq :: [ 8^24 ]

E9.568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y3 * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^3, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, (Y2 * Y3^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 22, 70)(9, 57, 28, 76)(12, 60, 32, 80)(13, 61, 27, 75)(14, 62, 30, 78)(15, 63, 26, 74)(16, 64, 24, 72)(18, 66, 31, 79)(19, 67, 25, 73)(20, 68, 29, 77)(21, 69, 23, 71)(33, 81, 41, 89)(34, 82, 44, 92)(35, 83, 48, 96)(36, 84, 43, 91)(37, 85, 40, 88)(38, 86, 47, 95)(39, 87, 46, 94)(42, 90, 45, 93)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 112, 160)(102, 150, 116, 164, 117, 165)(104, 152, 121, 169, 123, 171)(106, 154, 127, 175, 128, 176)(107, 155, 129, 177, 119, 167)(108, 156, 118, 166, 131, 179)(109, 157, 132, 180, 133, 181)(111, 159, 130, 178, 135, 183)(113, 161, 126, 174, 136, 184)(114, 162, 137, 185, 134, 182)(115, 163, 138, 186, 124, 172)(120, 168, 140, 188, 141, 189)(122, 170, 139, 187, 143, 191)(125, 173, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 114)(6, 97)(7, 119)(8, 122)(9, 125)(10, 98)(11, 123)(12, 130)(13, 99)(14, 134)(15, 102)(16, 132)(17, 121)(18, 135)(19, 101)(20, 124)(21, 118)(22, 112)(23, 139)(24, 103)(25, 142)(26, 106)(27, 140)(28, 110)(29, 143)(30, 105)(31, 113)(32, 107)(33, 136)(34, 109)(35, 138)(36, 117)(37, 137)(38, 116)(39, 115)(40, 141)(41, 131)(42, 133)(43, 120)(44, 128)(45, 144)(46, 127)(47, 126)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 40 e = 96 f = 40
	degree seq :: [ 4^24, 6^16 ]

E9.569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3 * Y2 * Y3^-2 * Y2, Y2 * Y1 * Y2^-1 * Y1 * Y3^-1, Y3^-1 * Y2 * R * Y2^-1 * R, Y3^6, (Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 18, 66)(12, 60, 31, 79)(13, 61, 27, 75)(14, 62, 28, 76)(15, 63, 30, 78)(16, 64, 24, 72)(19, 67, 25, 73)(21, 69, 41, 89)(22, 70, 26, 74)(23, 71, 39, 87)(29, 77, 34, 82)(32, 80, 47, 95)(33, 81, 48, 96)(35, 83, 45, 93)(36, 84, 44, 92)(37, 85, 46, 94)(38, 86, 40, 88)(42, 90, 43, 91)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 112, 160)(102, 150, 116, 164, 117, 165)(104, 152, 121, 169, 123, 171)(106, 154, 107, 155, 125, 173)(108, 156, 111, 159, 129, 177)(109, 157, 130, 178, 131, 179)(113, 161, 134, 182, 127, 175)(114, 162, 128, 176, 135, 183)(115, 163, 136, 184, 118, 166)(119, 167, 122, 170, 139, 187)(120, 168, 137, 185, 140, 188)(124, 172, 143, 191, 126, 174)(132, 180, 133, 181, 138, 186)(141, 189, 142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 114)(6, 97)(7, 119)(8, 122)(9, 113)(10, 98)(11, 123)(12, 128)(13, 99)(14, 132)(15, 133)(16, 130)(17, 121)(18, 110)(19, 101)(20, 112)(21, 109)(22, 102)(23, 134)(24, 103)(25, 141)(26, 142)(27, 137)(28, 105)(29, 120)(30, 106)(31, 107)(32, 138)(33, 136)(34, 129)(35, 115)(36, 131)(37, 118)(38, 144)(39, 116)(40, 135)(41, 139)(42, 117)(43, 143)(44, 124)(45, 140)(46, 126)(47, 127)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 40 e = 96 f = 40
	degree seq :: [ 4^24, 6^16 ]

E9.570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 19, 67)(12, 60, 20, 68)(13, 61, 21, 69)(14, 62, 22, 70)(15, 63, 23, 71)(16, 64, 24, 72)(17, 65, 25, 73)(18, 66, 26, 74)(27, 75, 35, 83)(28, 76, 39, 87)(29, 77, 43, 91)(30, 78, 41, 89)(31, 79, 36, 84)(32, 80, 44, 92)(33, 81, 38, 86)(34, 82, 42, 90)(37, 85, 45, 93)(40, 88, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 100, 148)(98, 146, 101, 149, 102, 150)(103, 151, 107, 155, 108, 156)(104, 152, 109, 157, 110, 158)(105, 153, 111, 159, 112, 160)(106, 154, 113, 161, 114, 162)(115, 163, 123, 171, 124, 172)(116, 164, 125, 173, 126, 174)(117, 165, 127, 175, 128, 176)(118, 166, 129, 177, 130, 178)(119, 167, 131, 179, 132, 180)(120, 168, 133, 181, 134, 182)(121, 169, 135, 183, 136, 184)(122, 170, 137, 185, 138, 186)(139, 187, 140, 188, 143, 191)(141, 189, 142, 190, 144, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 40 e = 96 f = 40
	degree seq :: [ 4^24, 6^16 ]

E9.571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 19, 67)(12, 60, 20, 68)(13, 61, 21, 69)(14, 62, 22, 70)(15, 63, 23, 71)(16, 64, 24, 72)(17, 65, 25, 73)(18, 66, 26, 74)(27, 75, 43, 91)(28, 76, 38, 86)(29, 77, 40, 88)(30, 78, 36, 84)(31, 79, 41, 89)(32, 80, 37, 85)(33, 81, 39, 87)(34, 82, 44, 92)(35, 83, 45, 93)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 100, 148)(98, 146, 101, 149, 102, 150)(103, 151, 107, 155, 108, 156)(104, 152, 109, 157, 110, 158)(105, 153, 111, 159, 112, 160)(106, 154, 113, 161, 114, 162)(115, 163, 123, 171, 124, 172)(116, 164, 125, 173, 126, 174)(117, 165, 127, 175, 128, 176)(118, 166, 129, 177, 130, 178)(119, 167, 131, 179, 132, 180)(120, 168, 133, 181, 134, 182)(121, 169, 135, 183, 136, 184)(122, 170, 137, 185, 138, 186)(139, 187, 143, 191, 140, 188)(141, 189, 144, 192, 142, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 40 e = 96 f = 40
	degree seq :: [ 4^24, 6^16 ]

E9.572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, Y3^4, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 26, 74)(12, 60, 25, 73)(13, 61, 28, 76)(14, 62, 23, 71)(15, 63, 27, 75)(16, 64, 21, 69)(17, 65, 20, 68)(18, 66, 24, 72)(19, 67, 22, 70)(29, 77, 45, 93)(30, 78, 46, 94)(31, 79, 48, 96)(32, 80, 44, 92)(33, 81, 47, 95)(34, 82, 42, 90)(35, 83, 39, 87)(36, 84, 40, 88)(37, 85, 43, 91)(38, 86, 41, 89)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 109, 157, 111, 159)(102, 150, 114, 162, 115, 163)(104, 152, 118, 166, 120, 168)(106, 154, 123, 171, 124, 172)(107, 155, 125, 173, 127, 175)(108, 156, 128, 176, 129, 177)(110, 158, 126, 174, 132, 180)(112, 160, 133, 181, 130, 178)(113, 161, 134, 182, 131, 179)(116, 164, 135, 183, 137, 185)(117, 165, 138, 186, 139, 187)(119, 167, 136, 184, 142, 190)(121, 169, 143, 191, 140, 188)(122, 170, 144, 192, 141, 189)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 112)(6, 97)(7, 116)(8, 119)(9, 121)(10, 98)(11, 126)(12, 99)(13, 130)(14, 102)(15, 128)(16, 132)(17, 101)(18, 131)(19, 125)(20, 136)(21, 103)(22, 140)(23, 106)(24, 138)(25, 142)(26, 105)(27, 141)(28, 135)(29, 111)(30, 108)(31, 134)(32, 115)(33, 133)(34, 114)(35, 109)(36, 113)(37, 127)(38, 129)(39, 120)(40, 117)(41, 144)(42, 124)(43, 143)(44, 123)(45, 118)(46, 122)(47, 137)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 40 e = 96 f = 40
	degree seq :: [ 4^24, 6^16 ]

E9.573 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = C2 x (SL(2,3) : C2) (small group id <96, 200>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 5, 53)(3, 51, 6, 54)(7, 55, 13, 61)(8, 56, 14, 62)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(19, 67, 31, 79)(20, 68, 32, 80)(21, 69, 33, 81)(22, 70, 34, 82)(23, 71, 35, 83)(24, 72, 36, 84)(25, 73, 37, 85)(26, 74, 38, 86)(27, 75, 39, 87)(28, 76, 40, 88)(29, 77, 41, 89)(30, 78, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 98, 99)(100, 103, 104)(101, 105, 106)(102, 107, 108)(109, 115, 116)(110, 117, 118)(111, 119, 120)(112, 121, 122)(113, 123, 124)(114, 125, 126)(127, 131, 135)(128, 139, 137)(129, 132, 140)(130, 134, 138)(133, 136, 141)(142, 143, 144)(145, 147, 146)(148, 152, 151)(149, 154, 153)(150, 156, 155)(157, 164, 163)(158, 166, 165)(159, 168, 167)(160, 170, 169)(161, 172, 171)(162, 174, 173)(175, 183, 179)(176, 185, 187)(177, 188, 180)(178, 186, 182)(181, 189, 184)(190, 192, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.574
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 3^32, 4^24 ]

E9.574 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = C2 x (SL(2,3) : C2) (small group id <96, 200>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149)(3, 51, 99, 147, 6, 54, 102, 150)(7, 55, 103, 151, 13, 61, 109, 157)(8, 56, 104, 152, 14, 62, 110, 158)(9, 57, 105, 153, 15, 63, 111, 159)(10, 58, 106, 154, 16, 64, 112, 160)(11, 59, 107, 155, 17, 65, 113, 161)(12, 60, 108, 156, 18, 66, 114, 162)(19, 67, 115, 163, 31, 79, 127, 175)(20, 68, 116, 164, 32, 80, 128, 176)(21, 69, 117, 165, 33, 81, 129, 177)(22, 70, 118, 166, 34, 82, 130, 178)(23, 71, 119, 167, 35, 83, 131, 179)(24, 72, 120, 168, 36, 84, 132, 180)(25, 73, 121, 169, 37, 85, 133, 181)(26, 74, 122, 170, 38, 86, 134, 182)(27, 75, 123, 171, 39, 87, 135, 183)(28, 76, 124, 172, 40, 88, 136, 184)(29, 77, 125, 173, 41, 89, 137, 185)(30, 78, 126, 174, 42, 90, 138, 186)(43, 91, 139, 187, 46, 94, 142, 190)(44, 92, 140, 188, 47, 95, 143, 191)(45, 93, 141, 189, 48, 96, 144, 192)
	L = (1, 50)(2, 51)(3, 49)(4, 55)(5, 57)(6, 59)(7, 56)(8, 52)(9, 58)(10, 53)(11, 60)(12, 54)(13, 67)(14, 69)(15, 71)(16, 73)(17, 75)(18, 77)(19, 68)(20, 61)(21, 70)(22, 62)(23, 72)(24, 63)(25, 74)(26, 64)(27, 76)(28, 65)(29, 78)(30, 66)(31, 83)(32, 91)(33, 84)(34, 86)(35, 87)(36, 92)(37, 88)(38, 90)(39, 79)(40, 93)(41, 80)(42, 82)(43, 89)(44, 81)(45, 85)(46, 95)(47, 96)(48, 94)(97, 147)(98, 145)(99, 146)(100, 152)(101, 154)(102, 156)(103, 148)(104, 151)(105, 149)(106, 153)(107, 150)(108, 155)(109, 164)(110, 166)(111, 168)(112, 170)(113, 172)(114, 174)(115, 157)(116, 163)(117, 158)(118, 165)(119, 159)(120, 167)(121, 160)(122, 169)(123, 161)(124, 171)(125, 162)(126, 173)(127, 183)(128, 185)(129, 188)(130, 186)(131, 175)(132, 177)(133, 189)(134, 178)(135, 179)(136, 181)(137, 187)(138, 182)(139, 176)(140, 180)(141, 184)(142, 192)(143, 190)(144, 191)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.573
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 56
	degree seq :: [ 8^24 ]

E9.575 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x C2) : C3 (small group id <48, 50>)
Aut   = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2^-1)^3, (R * Y2 * Y3)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, (Y3 * Y2 * Y1 * Y2^-1)^2, (Y2 * Y3 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 21, 69)(11, 59, 25, 73)(12, 60, 27, 75)(14, 62, 29, 77)(16, 64, 31, 79)(17, 65, 34, 82)(18, 66, 36, 84)(20, 68, 37, 85)(22, 70, 28, 76)(23, 71, 42, 90)(24, 72, 33, 81)(26, 74, 43, 91)(30, 78, 38, 86)(32, 80, 39, 87)(35, 83, 46, 94)(40, 88, 47, 95)(41, 89, 44, 92)(45, 93, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 107, 155, 108, 156)(103, 151, 113, 161, 114, 162)(105, 153, 115, 163, 118, 166)(106, 154, 119, 167, 120, 168)(109, 157, 124, 172, 111, 159)(110, 158, 126, 174, 122, 170)(112, 160, 128, 176, 129, 177)(116, 164, 134, 182, 131, 179)(117, 165, 135, 183, 136, 184)(121, 169, 132, 180, 137, 185)(123, 171, 140, 188, 130, 178)(125, 173, 141, 189, 142, 190)(127, 175, 138, 186, 143, 191)(133, 181, 144, 192, 139, 187)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 110)(6, 112)(7, 98)(8, 116)(9, 117)(10, 99)(11, 122)(12, 119)(13, 125)(14, 101)(15, 127)(16, 102)(17, 131)(18, 128)(19, 133)(20, 104)(21, 105)(22, 137)(23, 108)(24, 126)(25, 139)(26, 107)(27, 138)(28, 140)(29, 109)(30, 120)(31, 111)(32, 114)(33, 134)(34, 142)(35, 113)(36, 135)(37, 115)(38, 129)(39, 132)(40, 144)(41, 118)(42, 123)(43, 121)(44, 124)(45, 143)(46, 130)(47, 141)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 40 e = 96 f = 40
	degree seq :: [ 4^24, 6^16 ]

E9.576 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3 * Y2)^3, (Y3 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 50, 2, 49)(3, 55, 7, 51)(4, 57, 9, 52)(5, 59, 11, 53)(6, 61, 13, 54)(8, 60, 12, 56)(10, 62, 14, 58)(15, 71, 23, 63)(16, 72, 24, 64)(17, 73, 25, 65)(18, 74, 26, 66)(19, 75, 27, 67)(20, 76, 28, 68)(21, 77, 29, 69)(22, 78, 30, 70)(31, 85, 37, 79)(32, 86, 38, 80)(33, 87, 39, 81)(34, 88, 40, 82)(35, 89, 41, 83)(36, 90, 42, 84)(43, 94, 46, 91)(44, 95, 47, 92)(45, 96, 48, 93)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 19)(12, 21)(13, 22)(16, 25)(20, 29)(23, 31)(24, 33)(26, 32)(27, 34)(28, 36)(30, 35)(37, 43)(38, 45)(39, 44)(40, 46)(41, 48)(42, 47)(49, 52)(50, 54)(51, 56)(53, 60)(55, 64)(57, 63)(58, 65)(59, 68)(61, 67)(62, 69)(66, 73)(70, 77)(71, 80)(72, 79)(74, 81)(75, 83)(76, 82)(78, 84)(85, 92)(86, 91)(87, 93)(88, 95)(89, 94)(90, 96)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E9.578
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 24 e = 48 f = 8
	degree seq :: [ 4^24 ]

E9.577 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y3)^6 ]
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, 60, 12, 56)(10, 62, 14, 58)(15, 73, 25, 63)(16, 74, 26, 64)(17, 75, 27, 65)(18, 77, 29, 66)(19, 78, 30, 67)(20, 80, 32, 68)(21, 81, 33, 69)(22, 82, 34, 70)(23, 84, 36, 71)(24, 85, 37, 72)(28, 83, 35, 76)(31, 86, 38, 79)(39, 94, 46, 87)(40, 93, 45, 88)(41, 92, 44, 89)(42, 91, 43, 90)(47, 96, 48, 95)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 37)(28, 41)(29, 40)(30, 33)(32, 43)(35, 45)(36, 44)(42, 47)(46, 48)(49, 52)(50, 54)(51, 56)(53, 60)(55, 64)(57, 63)(58, 67)(59, 69)(61, 68)(62, 72)(65, 76)(66, 78)(70, 83)(71, 85)(73, 88)(74, 87)(75, 84)(77, 82)(79, 90)(80, 92)(81, 91)(86, 94)(89, 95)(93, 96)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E9.579
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 24 e = 48 f = 8
	degree seq :: [ 4^24 ]

E9.578 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y2 * Y3 * Y1^2, (R * Y1)^2, R * Y2 * R * Y3, Y1^-4 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 58, 10, 53, 5, 49)(3, 57, 9, 63, 15, 60, 12, 52, 4, 59, 11, 51)(7, 64, 16, 61, 13, 66, 18, 56, 8, 65, 17, 55)(19, 73, 25, 69, 21, 75, 27, 68, 20, 74, 26, 67)(22, 76, 28, 72, 24, 78, 30, 71, 23, 77, 29, 70)(31, 85, 37, 81, 33, 87, 39, 80, 32, 86, 38, 79)(34, 88, 40, 84, 36, 90, 42, 83, 35, 89, 41, 82)(43, 94, 46, 93, 45, 96, 48, 92, 44, 95, 47, 91)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 19)(10, 15)(11, 21)(12, 20)(16, 22)(17, 24)(18, 23)(25, 31)(26, 33)(27, 32)(28, 34)(29, 36)(30, 35)(37, 43)(38, 45)(39, 44)(40, 46)(41, 48)(42, 47)(49, 52)(50, 56)(51, 58)(53, 55)(54, 63)(57, 68)(59, 67)(60, 69)(61, 62)(64, 71)(65, 70)(66, 72)(73, 80)(74, 79)(75, 81)(76, 83)(77, 82)(78, 84)(85, 92)(86, 91)(87, 93)(88, 95)(89, 94)(90, 96)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.576
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 24
	degree seq :: [ 12^8 ]

E9.579 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, (Y2 * Y3 * Y1^-1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 65, 17, 53, 5, 49)(3, 57, 9, 75, 27, 88, 40, 67, 19, 59, 11, 51)(4, 60, 12, 80, 32, 89, 41, 68, 20, 62, 14, 52)(7, 69, 21, 63, 15, 83, 35, 85, 37, 71, 23, 55)(8, 72, 24, 64, 16, 84, 36, 86, 38, 74, 26, 56)(10, 70, 22, 87, 39, 82, 34, 61, 13, 73, 25, 58)(28, 93, 45, 78, 30, 94, 46, 96, 48, 91, 43, 76)(29, 95, 47, 79, 31, 90, 42, 81, 33, 92, 44, 77)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 37)(21, 42)(22, 38)(23, 44)(24, 46)(26, 43)(31, 41)(32, 39)(35, 47)(36, 45)(40, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 77)(59, 79)(60, 76)(61, 75)(62, 78)(63, 73)(65, 80)(66, 86)(67, 87)(69, 91)(71, 93)(72, 90)(74, 92)(81, 88)(82, 85)(83, 94)(84, 95)(89, 96)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.577
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 24
	degree seq :: [ 12^8 ]

E9.580 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^3, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y2)^8 ]
Map::
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 15, 63)(9, 57, 17, 65)(10, 58, 18, 66)(11, 59, 19, 67)(13, 61, 21, 69)(14, 62, 22, 70)(16, 64, 23, 71)(20, 68, 27, 75)(24, 72, 31, 79)(25, 73, 32, 80)(26, 74, 33, 81)(28, 76, 34, 82)(29, 77, 35, 83)(30, 78, 36, 84)(37, 85, 43, 91)(38, 86, 44, 92)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(42, 90, 48, 96)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 112)(106, 111)(108, 116)(110, 115)(113, 120)(114, 122)(117, 124)(118, 126)(119, 125)(121, 123)(127, 133)(128, 135)(129, 134)(130, 136)(131, 138)(132, 137)(139, 142)(140, 144)(141, 143)(145, 147)(146, 149)(148, 154)(150, 158)(151, 155)(152, 157)(153, 156)(159, 164)(160, 163)(161, 169)(162, 168)(165, 173)(166, 172)(167, 174)(170, 171)(175, 182)(176, 181)(177, 183)(178, 185)(179, 184)(180, 186)(187, 191)(188, 190)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E9.586
Graph:: simple bipartite
	v = 72 e = 96 f = 8
	degree seq :: [ 2^48, 4^24 ]

E9.581 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y2)^6 ]
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, 18, 66)(10, 58, 19, 67)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 26, 74)(17, 65, 28, 76)(20, 68, 33, 81)(22, 70, 35, 83)(25, 73, 40, 88)(27, 75, 38, 86)(29, 77, 42, 90)(30, 78, 41, 89)(31, 79, 34, 82)(32, 80, 44, 92)(36, 84, 46, 94)(37, 85, 45, 93)(39, 87, 47, 95)(43, 91, 48, 96)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 112)(108, 118)(110, 117)(111, 121)(114, 125)(115, 127)(116, 128)(119, 132)(120, 134)(122, 137)(123, 136)(124, 133)(126, 131)(129, 141)(130, 140)(135, 139)(138, 143)(142, 144)(145, 147)(146, 149)(148, 154)(150, 158)(151, 159)(152, 157)(153, 156)(155, 164)(160, 171)(161, 170)(162, 174)(163, 173)(165, 178)(166, 177)(167, 181)(168, 180)(169, 183)(172, 179)(175, 182)(176, 187)(184, 190)(185, 191)(186, 188)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E9.587
Graph:: simple bipartite
	v = 72 e = 96 f = 8
	degree seq :: [ 2^48, 4^24 ]

E9.582 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^4, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 6, 54, 15, 63, 9, 57, 5, 53)(2, 50, 7, 55, 3, 51, 10, 58, 14, 62, 8, 56)(11, 59, 19, 67, 12, 60, 21, 69, 13, 61, 20, 68)(16, 64, 22, 70, 17, 65, 24, 72, 18, 66, 23, 71)(25, 73, 31, 79, 26, 74, 33, 81, 27, 75, 32, 80)(28, 76, 34, 82, 29, 77, 36, 84, 30, 78, 35, 83)(37, 85, 43, 91, 38, 86, 45, 93, 39, 87, 44, 92)(40, 88, 46, 94, 41, 89, 48, 96, 42, 90, 47, 95)(97, 98)(99, 105)(100, 107)(101, 108)(102, 110)(103, 112)(104, 113)(106, 114)(109, 111)(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)(145, 147)(146, 150)(148, 156)(149, 157)(151, 161)(152, 162)(153, 158)(154, 160)(155, 159)(163, 170)(164, 171)(165, 169)(166, 173)(167, 174)(168, 172)(175, 182)(176, 183)(177, 181)(178, 185)(179, 186)(180, 184)(187, 192)(188, 191)(189, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E9.584
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 2^48, 12^8 ]

E9.583 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3^2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, Y3^6, (Y3^2 * Y2)^2, Y2 * Y3^-3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 49, 4, 52, 14, 62, 34, 82, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 44, 92, 26, 74, 8, 56)(3, 51, 10, 58, 18, 66, 37, 85, 29, 77, 11, 59)(6, 54, 19, 67, 9, 57, 27, 75, 39, 87, 20, 68)(12, 60, 30, 78, 15, 63, 35, 83, 47, 95, 31, 79)(13, 61, 32, 80, 16, 64, 36, 84, 38, 86, 33, 81)(21, 69, 40, 88, 24, 72, 45, 93, 48, 96, 41, 89)(22, 70, 42, 90, 25, 73, 46, 94, 28, 76, 43, 91)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 121)(107, 124)(109, 123)(110, 122)(112, 115)(113, 119)(116, 134)(118, 133)(125, 135)(126, 139)(127, 138)(128, 137)(129, 136)(130, 143)(131, 142)(132, 141)(140, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 170)(154, 165)(155, 168)(156, 163)(158, 173)(159, 164)(161, 162)(167, 183)(171, 191)(172, 188)(174, 189)(175, 185)(176, 187)(177, 186)(178, 182)(179, 184)(180, 190)(181, 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 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E9.585
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 2^48, 12^8 ]

E9.584 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^3, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y2)^8 ]
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, 15, 63, 111, 159)(9, 57, 105, 153, 17, 65, 113, 161)(10, 58, 106, 154, 18, 66, 114, 162)(11, 59, 107, 155, 19, 67, 115, 163)(13, 61, 109, 157, 21, 69, 117, 165)(14, 62, 110, 158, 22, 70, 118, 166)(16, 64, 112, 160, 23, 71, 119, 167)(20, 68, 116, 164, 27, 75, 123, 171)(24, 72, 120, 168, 31, 79, 127, 175)(25, 73, 121, 169, 32, 80, 128, 176)(26, 74, 122, 170, 33, 81, 129, 177)(28, 76, 124, 172, 34, 82, 130, 178)(29, 77, 125, 173, 35, 83, 131, 179)(30, 78, 126, 174, 36, 84, 132, 180)(37, 85, 133, 181, 43, 91, 139, 187)(38, 86, 134, 182, 44, 92, 140, 188)(39, 87, 135, 183, 45, 93, 141, 189)(40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 64)(9, 52)(10, 63)(11, 53)(12, 68)(13, 54)(14, 67)(15, 58)(16, 56)(17, 72)(18, 74)(19, 62)(20, 60)(21, 76)(22, 78)(23, 77)(24, 65)(25, 75)(26, 66)(27, 73)(28, 69)(29, 71)(30, 70)(31, 85)(32, 87)(33, 86)(34, 88)(35, 90)(36, 89)(37, 79)(38, 81)(39, 80)(40, 82)(41, 84)(42, 83)(43, 94)(44, 96)(45, 95)(46, 91)(47, 93)(48, 92)(97, 147)(98, 149)(99, 145)(100, 154)(101, 146)(102, 158)(103, 155)(104, 157)(105, 156)(106, 148)(107, 151)(108, 153)(109, 152)(110, 150)(111, 164)(112, 163)(113, 169)(114, 168)(115, 160)(116, 159)(117, 173)(118, 172)(119, 174)(120, 162)(121, 161)(122, 171)(123, 170)(124, 166)(125, 165)(126, 167)(127, 182)(128, 181)(129, 183)(130, 185)(131, 184)(132, 186)(133, 176)(134, 175)(135, 177)(136, 179)(137, 178)(138, 180)(139, 191)(140, 190)(141, 192)(142, 188)(143, 187)(144, 189)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.582
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 56
	degree seq :: [ 8^24 ]

E9.585 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y2)^6 ]
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, 18, 66, 114, 162)(10, 58, 106, 154, 19, 67, 115, 163)(11, 59, 107, 155, 21, 69, 117, 165)(13, 61, 109, 157, 23, 71, 119, 167)(14, 62, 110, 158, 24, 72, 120, 168)(15, 63, 111, 159, 26, 74, 122, 170)(17, 65, 113, 161, 28, 76, 124, 172)(20, 68, 116, 164, 33, 81, 129, 177)(22, 70, 118, 166, 35, 83, 131, 179)(25, 73, 121, 169, 40, 88, 136, 184)(27, 75, 123, 171, 38, 86, 134, 182)(29, 77, 125, 173, 42, 90, 138, 186)(30, 78, 126, 174, 41, 89, 137, 185)(31, 79, 127, 175, 34, 82, 130, 178)(32, 80, 128, 176, 44, 92, 140, 188)(36, 84, 132, 180, 46, 94, 142, 190)(37, 85, 133, 181, 45, 93, 141, 189)(39, 87, 135, 183, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 52)(10, 64)(11, 53)(12, 70)(13, 54)(14, 69)(15, 73)(16, 58)(17, 56)(18, 77)(19, 79)(20, 80)(21, 62)(22, 60)(23, 84)(24, 86)(25, 63)(26, 89)(27, 88)(28, 85)(29, 66)(30, 83)(31, 67)(32, 68)(33, 93)(34, 92)(35, 78)(36, 71)(37, 76)(38, 72)(39, 91)(40, 75)(41, 74)(42, 95)(43, 87)(44, 82)(45, 81)(46, 96)(47, 90)(48, 94)(97, 147)(98, 149)(99, 145)(100, 154)(101, 146)(102, 158)(103, 159)(104, 157)(105, 156)(106, 148)(107, 164)(108, 153)(109, 152)(110, 150)(111, 151)(112, 171)(113, 170)(114, 174)(115, 173)(116, 155)(117, 178)(118, 177)(119, 181)(120, 180)(121, 183)(122, 161)(123, 160)(124, 179)(125, 163)(126, 162)(127, 182)(128, 187)(129, 166)(130, 165)(131, 172)(132, 168)(133, 167)(134, 175)(135, 169)(136, 190)(137, 191)(138, 188)(139, 176)(140, 186)(141, 192)(142, 184)(143, 185)(144, 189)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.583
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 56
	degree seq :: [ 8^24 ]

E9.586 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^4, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 6, 54, 102, 150, 15, 63, 111, 159, 9, 57, 105, 153, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 3, 51, 99, 147, 10, 58, 106, 154, 14, 62, 110, 158, 8, 56, 104, 152)(11, 59, 107, 155, 19, 67, 115, 163, 12, 60, 108, 156, 21, 69, 117, 165, 13, 61, 109, 157, 20, 68, 116, 164)(16, 64, 112, 160, 22, 70, 118, 166, 17, 65, 113, 161, 24, 72, 120, 168, 18, 66, 114, 162, 23, 71, 119, 167)(25, 73, 121, 169, 31, 79, 127, 175, 26, 74, 122, 170, 33, 81, 129, 177, 27, 75, 123, 171, 32, 80, 128, 176)(28, 76, 124, 172, 34, 82, 130, 178, 29, 77, 125, 173, 36, 84, 132, 180, 30, 78, 126, 174, 35, 83, 131, 179)(37, 85, 133, 181, 43, 91, 139, 187, 38, 86, 134, 182, 45, 93, 141, 189, 39, 87, 135, 183, 44, 92, 140, 188)(40, 88, 136, 184, 46, 94, 142, 190, 41, 89, 137, 185, 48, 96, 144, 192, 42, 90, 138, 186, 47, 95, 143, 191)
	L = (1, 50)(2, 49)(3, 57)(4, 59)(5, 60)(6, 62)(7, 64)(8, 65)(9, 51)(10, 66)(11, 52)(12, 53)(13, 63)(14, 54)(15, 61)(16, 55)(17, 56)(18, 58)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(43, 94)(44, 96)(45, 95)(46, 91)(47, 93)(48, 92)(97, 147)(98, 150)(99, 145)(100, 156)(101, 157)(102, 146)(103, 161)(104, 162)(105, 158)(106, 160)(107, 159)(108, 148)(109, 149)(110, 153)(111, 155)(112, 154)(113, 151)(114, 152)(115, 170)(116, 171)(117, 169)(118, 173)(119, 174)(120, 172)(121, 165)(122, 163)(123, 164)(124, 168)(125, 166)(126, 167)(127, 182)(128, 183)(129, 181)(130, 185)(131, 186)(132, 184)(133, 177)(134, 175)(135, 176)(136, 180)(137, 178)(138, 179)(139, 192)(140, 191)(141, 190)(142, 189)(143, 188)(144, 187)
	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 E9.580
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 72
	degree seq :: [ 24^8 ]

E9.587 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3^2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, Y3^6, (Y3^2 * Y2)^2, Y2 * Y3^-3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 34, 82, 130, 178, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 44, 92, 140, 188, 26, 74, 122, 170, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 18, 66, 114, 162, 37, 85, 133, 181, 29, 77, 125, 173, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 9, 57, 105, 153, 27, 75, 123, 171, 39, 87, 135, 183, 20, 68, 116, 164)(12, 60, 108, 156, 30, 78, 126, 174, 15, 63, 111, 159, 35, 83, 131, 179, 47, 95, 143, 191, 31, 79, 127, 175)(13, 61, 109, 157, 32, 80, 128, 176, 16, 64, 112, 160, 36, 84, 132, 180, 38, 86, 134, 182, 33, 81, 129, 177)(21, 69, 117, 165, 40, 88, 136, 184, 24, 72, 120, 168, 45, 93, 141, 189, 48, 96, 144, 192, 41, 89, 137, 185)(22, 70, 118, 166, 42, 90, 138, 186, 25, 73, 121, 169, 46, 94, 142, 190, 28, 76, 124, 172, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 73)(11, 76)(12, 52)(13, 75)(14, 74)(15, 53)(16, 67)(17, 71)(18, 54)(19, 64)(20, 86)(21, 55)(22, 85)(23, 65)(24, 56)(25, 58)(26, 62)(27, 61)(28, 59)(29, 87)(30, 91)(31, 90)(32, 89)(33, 88)(34, 95)(35, 94)(36, 93)(37, 70)(38, 68)(39, 77)(40, 81)(41, 80)(42, 79)(43, 78)(44, 96)(45, 84)(46, 83)(47, 82)(48, 92)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 170)(106, 165)(107, 168)(108, 163)(109, 148)(110, 173)(111, 164)(112, 149)(113, 162)(114, 161)(115, 156)(116, 159)(117, 154)(118, 151)(119, 183)(120, 155)(121, 152)(122, 153)(123, 191)(124, 188)(125, 158)(126, 189)(127, 185)(128, 187)(129, 186)(130, 182)(131, 184)(132, 190)(133, 192)(134, 178)(135, 167)(136, 179)(137, 175)(138, 177)(139, 176)(140, 172)(141, 174)(142, 180)(143, 171)(144, 181)
	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 E9.581
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 72
	degree seq :: [ 24^8 ]

E9.588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y3^2 * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3^8, Y3^3 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 16, 64)(7, 55, 19, 67)(8, 56, 21, 69)(10, 58, 24, 72)(11, 59, 26, 74)(13, 61, 22, 70)(15, 63, 20, 68)(17, 65, 29, 77)(18, 66, 28, 76)(23, 71, 31, 79)(25, 73, 37, 85)(27, 75, 33, 81)(30, 78, 42, 90)(32, 80, 38, 86)(34, 82, 44, 92)(35, 83, 39, 87)(36, 84, 41, 89)(40, 88, 48, 96)(43, 91, 46, 94)(45, 93, 47, 95)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 107, 155)(101, 149, 106, 154)(103, 151, 114, 162)(104, 152, 113, 161)(105, 153, 116, 164)(108, 156, 123, 171)(109, 157, 112, 160)(110, 158, 122, 170)(111, 159, 121, 169)(115, 163, 127, 175)(117, 165, 124, 172)(118, 166, 130, 178)(119, 167, 131, 179)(120, 168, 134, 182)(125, 173, 137, 185)(126, 174, 129, 177)(128, 176, 136, 184)(132, 180, 141, 189)(133, 181, 142, 190)(135, 183, 143, 191)(138, 186, 144, 192)(139, 187, 140, 188)
	L = (1, 100)(2, 103)(3, 106)(4, 109)(5, 97)(6, 113)(7, 116)(8, 98)(9, 114)(10, 121)(11, 99)(12, 124)(13, 126)(14, 127)(15, 101)(16, 107)(17, 130)(18, 102)(19, 122)(20, 131)(21, 123)(22, 104)(23, 105)(24, 115)(25, 136)(26, 117)(27, 137)(28, 110)(29, 108)(30, 139)(31, 134)(32, 111)(33, 112)(34, 141)(35, 142)(36, 118)(37, 119)(38, 143)(39, 120)(40, 140)(41, 144)(42, 125)(43, 128)(44, 129)(45, 133)(46, 132)(47, 138)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.590
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y1 * Y2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, Y3^8, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 16, 64)(7, 55, 19, 67)(8, 56, 21, 69)(10, 58, 24, 72)(11, 59, 26, 74)(13, 61, 22, 70)(15, 63, 20, 68)(17, 65, 31, 79)(18, 66, 35, 83)(23, 71, 29, 77)(25, 73, 39, 87)(27, 75, 33, 81)(28, 76, 44, 92)(30, 78, 45, 93)(32, 80, 40, 88)(34, 82, 47, 95)(36, 84, 42, 90)(37, 85, 43, 91)(38, 86, 41, 89)(46, 94, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 107, 155)(101, 149, 106, 154)(103, 151, 114, 162)(104, 152, 113, 161)(105, 153, 116, 164)(108, 156, 123, 171)(109, 157, 112, 160)(110, 158, 122, 170)(111, 159, 121, 169)(115, 163, 125, 173)(117, 165, 131, 179)(118, 166, 130, 178)(119, 167, 133, 181)(120, 168, 136, 184)(124, 172, 139, 187)(126, 174, 129, 177)(127, 175, 137, 185)(128, 176, 138, 186)(132, 180, 141, 189)(134, 182, 140, 188)(135, 183, 144, 192)(142, 190, 143, 191)
	L = (1, 100)(2, 103)(3, 106)(4, 109)(5, 97)(6, 113)(7, 116)(8, 98)(9, 114)(10, 121)(11, 99)(12, 124)(13, 126)(14, 127)(15, 101)(16, 107)(17, 130)(18, 102)(19, 132)(20, 133)(21, 120)(22, 104)(23, 105)(24, 137)(25, 138)(26, 139)(27, 115)(28, 110)(29, 108)(30, 142)(31, 136)(32, 111)(33, 112)(34, 140)(35, 141)(36, 117)(37, 144)(38, 118)(39, 119)(40, 131)(41, 122)(42, 143)(43, 123)(44, 135)(45, 125)(46, 128)(47, 129)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.591
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, Y1^2 * Y3^-1, (Y2 * Y3^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52, 8, 56, 6, 54, 5, 53)(3, 51, 9, 57, 10, 58, 18, 66, 12, 60, 11, 59)(7, 55, 14, 62, 13, 61, 20, 68, 16, 64, 15, 63)(17, 65, 23, 71, 19, 67, 26, 74, 25, 73, 24, 72)(21, 69, 28, 76, 22, 70, 30, 78, 27, 75, 29, 77)(31, 79, 37, 85, 32, 80, 39, 87, 33, 81, 38, 86)(34, 82, 40, 88, 35, 83, 42, 90, 36, 84, 41, 89)(43, 91, 46, 94, 44, 92, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 108, 156)(101, 149, 109, 157)(102, 150, 106, 154)(104, 152, 112, 160)(105, 153, 113, 161)(107, 155, 115, 163)(110, 158, 117, 165)(111, 159, 118, 166)(114, 162, 121, 169)(116, 164, 123, 171)(119, 167, 127, 175)(120, 168, 128, 176)(122, 170, 129, 177)(124, 172, 130, 178)(125, 173, 131, 179)(126, 174, 132, 180)(133, 181, 139, 187)(134, 182, 140, 188)(135, 183, 141, 189)(136, 184, 142, 190)(137, 185, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 102)(5, 98)(6, 97)(7, 109)(8, 101)(9, 114)(10, 108)(11, 105)(12, 99)(13, 112)(14, 116)(15, 110)(16, 103)(17, 115)(18, 107)(19, 121)(20, 111)(21, 118)(22, 123)(23, 122)(24, 119)(25, 113)(26, 120)(27, 117)(28, 126)(29, 124)(30, 125)(31, 128)(32, 129)(33, 127)(34, 131)(35, 132)(36, 130)(37, 135)(38, 133)(39, 134)(40, 138)(41, 136)(42, 137)(43, 140)(44, 141)(45, 139)(46, 143)(47, 144)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.588
Graph:: bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^2 * Y1^2, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 15, 63, 5, 53)(3, 51, 11, 59, 25, 73, 35, 83, 19, 67, 13, 61)(4, 52, 9, 57, 6, 54, 10, 58, 20, 68, 16, 64)(8, 56, 21, 69, 17, 65, 32, 80, 33, 81, 23, 71)(12, 60, 27, 75, 14, 62, 28, 76, 34, 82, 29, 77)(22, 70, 37, 85, 24, 72, 38, 86, 31, 79, 39, 87)(26, 74, 41, 89, 30, 78, 46, 94, 48, 96, 43, 91)(36, 84, 42, 90, 40, 88, 44, 92, 47, 95, 45, 93)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 115, 163)(105, 153, 120, 168)(106, 154, 118, 166)(107, 155, 122, 170)(109, 157, 126, 174)(111, 159, 121, 169)(112, 160, 127, 175)(114, 162, 129, 177)(116, 164, 130, 178)(117, 165, 132, 180)(119, 167, 136, 184)(123, 171, 140, 188)(124, 172, 138, 186)(125, 173, 141, 189)(128, 176, 143, 191)(131, 179, 144, 192)(133, 181, 139, 187)(134, 182, 142, 190)(135, 183, 137, 185)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 102)(8, 118)(9, 101)(10, 98)(11, 123)(12, 115)(13, 125)(14, 99)(15, 116)(16, 114)(17, 120)(18, 106)(19, 130)(20, 103)(21, 133)(22, 129)(23, 135)(24, 104)(25, 110)(26, 138)(27, 109)(28, 107)(29, 131)(30, 140)(31, 113)(32, 134)(33, 127)(34, 121)(35, 124)(36, 142)(37, 119)(38, 117)(39, 128)(40, 139)(41, 136)(42, 144)(43, 132)(44, 122)(45, 126)(46, 143)(47, 137)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.589
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y1 * Y2)^4, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 15, 63)(11, 59, 20, 68)(13, 61, 18, 66)(14, 62, 21, 69)(16, 64, 19, 67)(17, 65, 27, 75)(22, 70, 32, 80)(23, 71, 29, 77)(24, 72, 28, 76)(25, 73, 34, 82)(26, 74, 35, 83)(30, 78, 38, 86)(31, 79, 39, 87)(33, 81, 41, 89)(36, 84, 40, 88)(37, 85, 44, 92)(42, 90, 46, 94)(43, 91, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 104, 152)(102, 150, 107, 155)(103, 151, 109, 157)(105, 153, 112, 160)(106, 154, 114, 162)(108, 156, 117, 165)(110, 158, 119, 167)(111, 159, 120, 168)(113, 161, 122, 170)(115, 163, 124, 172)(116, 164, 125, 173)(118, 166, 127, 175)(121, 169, 129, 177)(123, 171, 130, 178)(126, 174, 133, 181)(128, 176, 134, 182)(131, 179, 137, 185)(132, 180, 138, 186)(135, 183, 140, 188)(136, 184, 141, 189)(139, 187, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 102)(3, 104)(4, 97)(5, 107)(6, 98)(7, 110)(8, 99)(9, 113)(10, 115)(11, 101)(12, 118)(13, 119)(14, 103)(15, 121)(16, 122)(17, 105)(18, 124)(19, 106)(20, 126)(21, 127)(22, 108)(23, 109)(24, 129)(25, 111)(26, 112)(27, 132)(28, 114)(29, 133)(30, 116)(31, 117)(32, 136)(33, 120)(34, 138)(35, 139)(36, 123)(37, 125)(38, 141)(39, 142)(40, 128)(41, 143)(42, 130)(43, 131)(44, 144)(45, 134)(46, 135)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.597
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.593 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y2 * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 18, 66)(8, 56, 20, 68)(10, 58, 21, 69)(11, 59, 22, 70)(13, 61, 19, 67)(16, 64, 25, 73)(17, 65, 26, 74)(23, 71, 31, 79)(24, 72, 32, 80)(27, 75, 35, 83)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 38, 86)(33, 81, 41, 89)(34, 82, 42, 90)(39, 87, 44, 92)(40, 88, 43, 91)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 107, 155)(101, 149, 106, 154)(103, 151, 113, 161)(104, 152, 112, 160)(105, 153, 115, 163)(108, 156, 117, 165)(109, 157, 111, 159)(110, 158, 118, 166)(114, 162, 121, 169)(116, 164, 122, 170)(119, 167, 126, 174)(120, 168, 125, 173)(123, 171, 130, 178)(124, 172, 129, 177)(127, 175, 133, 181)(128, 176, 134, 182)(131, 179, 137, 185)(132, 180, 138, 186)(135, 183, 142, 190)(136, 184, 141, 189)(139, 187, 144, 192)(140, 188, 143, 191)
	L = (1, 100)(2, 103)(3, 106)(4, 109)(5, 97)(6, 112)(7, 115)(8, 98)(9, 113)(10, 111)(11, 99)(12, 119)(13, 101)(14, 120)(15, 107)(16, 105)(17, 102)(18, 123)(19, 104)(20, 124)(21, 125)(22, 126)(23, 110)(24, 108)(25, 129)(26, 130)(27, 116)(28, 114)(29, 118)(30, 117)(31, 135)(32, 136)(33, 122)(34, 121)(35, 139)(36, 140)(37, 141)(38, 142)(39, 128)(40, 127)(41, 143)(42, 144)(43, 132)(44, 131)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.598
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.594 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 15, 63)(11, 59, 20, 68)(13, 61, 23, 71)(14, 62, 25, 73)(16, 64, 28, 76)(17, 65, 30, 78)(18, 66, 31, 79)(19, 67, 33, 81)(21, 69, 36, 84)(22, 70, 38, 86)(24, 72, 34, 82)(26, 74, 32, 80)(27, 75, 37, 85)(29, 77, 35, 83)(39, 87, 47, 95)(40, 88, 45, 93)(41, 89, 46, 94)(42, 90, 44, 92)(43, 91, 48, 96)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 104, 152)(102, 150, 107, 155)(103, 151, 109, 157)(105, 153, 112, 160)(106, 154, 114, 162)(108, 156, 117, 165)(110, 158, 120, 168)(111, 159, 122, 170)(113, 161, 125, 173)(115, 163, 128, 176)(116, 164, 130, 178)(118, 166, 133, 181)(119, 167, 135, 183)(121, 169, 137, 185)(123, 171, 139, 187)(124, 172, 136, 184)(126, 174, 138, 186)(127, 175, 140, 188)(129, 177, 142, 190)(131, 179, 144, 192)(132, 180, 141, 189)(134, 182, 143, 191)
	L = (1, 100)(2, 102)(3, 104)(4, 97)(5, 107)(6, 98)(7, 110)(8, 99)(9, 113)(10, 115)(11, 101)(12, 118)(13, 120)(14, 103)(15, 123)(16, 125)(17, 105)(18, 128)(19, 106)(20, 131)(21, 133)(22, 108)(23, 136)(24, 109)(25, 138)(26, 139)(27, 111)(28, 135)(29, 112)(30, 137)(31, 141)(32, 114)(33, 143)(34, 144)(35, 116)(36, 140)(37, 117)(38, 142)(39, 124)(40, 119)(41, 126)(42, 121)(43, 122)(44, 132)(45, 127)(46, 134)(47, 129)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.596
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 13, 61)(7, 55, 16, 64)(8, 56, 18, 66)(9, 57, 19, 67)(10, 58, 21, 69)(12, 60, 17, 65)(14, 62, 24, 72)(15, 63, 26, 74)(20, 68, 25, 73)(22, 70, 31, 79)(23, 71, 32, 80)(27, 75, 35, 83)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 38, 86)(33, 81, 41, 89)(34, 82, 42, 90)(39, 87, 44, 92)(40, 88, 43, 91)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 106, 154)(101, 149, 105, 153)(103, 151, 111, 159)(104, 152, 110, 158)(107, 155, 117, 165)(108, 156, 116, 164)(109, 157, 115, 163)(112, 160, 122, 170)(113, 161, 121, 169)(114, 162, 120, 168)(118, 166, 125, 173)(119, 167, 126, 174)(123, 171, 129, 177)(124, 172, 130, 178)(127, 175, 133, 181)(128, 176, 134, 182)(131, 179, 137, 185)(132, 180, 138, 186)(135, 183, 142, 190)(136, 184, 141, 189)(139, 187, 144, 192)(140, 188, 143, 191)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 97)(6, 110)(7, 113)(8, 98)(9, 116)(10, 99)(11, 118)(12, 101)(13, 119)(14, 121)(15, 102)(16, 123)(17, 104)(18, 124)(19, 125)(20, 106)(21, 126)(22, 109)(23, 107)(24, 129)(25, 111)(26, 130)(27, 114)(28, 112)(29, 117)(30, 115)(31, 135)(32, 136)(33, 122)(34, 120)(35, 139)(36, 140)(37, 141)(38, 142)(39, 128)(40, 127)(41, 143)(42, 144)(43, 132)(44, 131)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.599
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^6, Y1 * Y2 * Y1^-2 * Y2 * Y1, (Y2 * Y1^-1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 14, 62, 5, 53)(3, 51, 9, 57, 16, 64, 31, 79, 25, 73, 11, 59)(4, 52, 12, 60, 26, 74, 30, 78, 17, 65, 8, 56)(7, 55, 18, 66, 29, 77, 28, 76, 13, 61, 20, 68)(10, 58, 23, 71, 38, 86, 44, 92, 32, 80, 22, 70)(19, 67, 35, 83, 27, 75, 41, 89, 42, 90, 34, 82)(21, 69, 33, 81, 43, 91, 40, 88, 24, 72, 36, 84)(37, 85, 46, 94, 39, 87, 47, 95, 48, 96, 45, 93)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 109, 157)(102, 150, 112, 160)(104, 152, 115, 163)(105, 153, 117, 165)(107, 155, 120, 168)(108, 156, 123, 171)(110, 158, 121, 169)(111, 159, 125, 173)(113, 161, 128, 176)(114, 162, 129, 177)(116, 164, 132, 180)(118, 166, 133, 181)(119, 167, 135, 183)(122, 170, 134, 182)(124, 172, 136, 184)(126, 174, 138, 186)(127, 175, 139, 187)(130, 178, 141, 189)(131, 179, 142, 190)(137, 185, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 108)(6, 113)(7, 115)(8, 98)(9, 118)(10, 99)(11, 119)(12, 101)(13, 123)(14, 122)(15, 126)(16, 128)(17, 102)(18, 130)(19, 103)(20, 131)(21, 133)(22, 105)(23, 107)(24, 135)(25, 134)(26, 110)(27, 109)(28, 137)(29, 138)(30, 111)(31, 140)(32, 112)(33, 141)(34, 114)(35, 116)(36, 142)(37, 117)(38, 121)(39, 120)(40, 143)(41, 124)(42, 125)(43, 144)(44, 127)(45, 129)(46, 132)(47, 136)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.594
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^6, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 14, 62, 5, 53)(3, 51, 9, 57, 21, 69, 32, 80, 16, 64, 11, 59)(4, 52, 12, 60, 26, 74, 30, 78, 17, 65, 8, 56)(7, 55, 18, 66, 13, 61, 28, 76, 29, 77, 20, 68)(10, 58, 24, 72, 31, 79, 43, 91, 37, 85, 23, 71)(19, 67, 35, 83, 42, 90, 41, 89, 27, 75, 34, 82)(22, 70, 33, 81, 25, 73, 36, 84, 44, 92, 39, 87)(38, 86, 47, 95, 48, 96, 46, 94, 40, 88, 45, 93)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 109, 157)(102, 150, 112, 160)(104, 152, 115, 163)(105, 153, 118, 166)(107, 155, 121, 169)(108, 156, 123, 171)(110, 158, 117, 165)(111, 159, 125, 173)(113, 161, 127, 175)(114, 162, 129, 177)(116, 164, 132, 180)(119, 167, 134, 182)(120, 168, 136, 184)(122, 170, 133, 181)(124, 172, 135, 183)(126, 174, 138, 186)(128, 176, 140, 188)(130, 178, 141, 189)(131, 179, 142, 190)(137, 185, 143, 191)(139, 187, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 108)(6, 113)(7, 115)(8, 98)(9, 119)(10, 99)(11, 120)(12, 101)(13, 123)(14, 122)(15, 126)(16, 127)(17, 102)(18, 130)(19, 103)(20, 131)(21, 133)(22, 134)(23, 105)(24, 107)(25, 136)(26, 110)(27, 109)(28, 137)(29, 138)(30, 111)(31, 112)(32, 139)(33, 141)(34, 114)(35, 116)(36, 142)(37, 117)(38, 118)(39, 143)(40, 121)(41, 124)(42, 125)(43, 128)(44, 144)(45, 129)(46, 132)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.592
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 19, 67, 5, 53)(3, 51, 11, 59, 29, 77, 40, 88, 21, 69, 13, 61)(4, 52, 15, 63, 33, 81, 38, 86, 22, 70, 10, 58)(6, 54, 18, 66, 35, 83, 37, 85, 23, 71, 9, 57)(8, 56, 24, 72, 17, 65, 34, 82, 36, 84, 26, 74)(12, 60, 25, 73, 39, 87, 46, 94, 43, 91, 32, 80)(14, 62, 27, 75, 41, 89, 47, 95, 44, 92, 31, 79)(16, 64, 28, 76, 42, 90, 48, 96, 45, 93, 30, 78)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 117, 165)(105, 153, 123, 171)(106, 154, 121, 169)(107, 155, 126, 174)(109, 157, 124, 172)(111, 159, 128, 176)(112, 160, 120, 168)(114, 162, 127, 175)(115, 163, 125, 173)(116, 164, 132, 180)(118, 166, 137, 185)(119, 167, 135, 183)(122, 170, 138, 186)(129, 177, 140, 188)(130, 178, 141, 189)(131, 179, 139, 187)(133, 181, 143, 191)(134, 182, 142, 190)(136, 184, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 114)(6, 97)(7, 118)(8, 121)(9, 124)(10, 98)(11, 127)(12, 120)(13, 123)(14, 99)(15, 101)(16, 102)(17, 128)(18, 126)(19, 129)(20, 133)(21, 135)(22, 138)(23, 103)(24, 110)(25, 109)(26, 137)(27, 104)(28, 106)(29, 139)(30, 111)(31, 113)(32, 107)(33, 141)(34, 140)(35, 115)(36, 142)(37, 144)(38, 116)(39, 122)(40, 143)(41, 117)(42, 119)(43, 130)(44, 125)(45, 131)(46, 136)(47, 132)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.593
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 17, 65, 5, 53)(3, 51, 11, 59, 25, 73, 32, 80, 19, 67, 8, 56)(4, 52, 14, 62, 29, 77, 34, 82, 20, 68, 10, 58)(6, 54, 16, 64, 31, 79, 33, 81, 21, 69, 9, 57)(12, 60, 23, 71, 35, 83, 44, 92, 39, 87, 27, 75)(13, 61, 22, 70, 36, 84, 43, 91, 40, 88, 26, 74)(15, 63, 24, 72, 37, 85, 45, 93, 42, 90, 30, 78)(28, 76, 41, 89, 47, 95, 48, 96, 46, 94, 38, 86)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 115, 163)(105, 153, 119, 167)(106, 154, 118, 166)(110, 158, 122, 170)(111, 159, 124, 172)(112, 160, 123, 171)(113, 161, 121, 169)(114, 162, 128, 176)(116, 164, 132, 180)(117, 165, 131, 179)(120, 168, 134, 182)(125, 173, 136, 184)(126, 174, 137, 185)(127, 175, 135, 183)(129, 177, 140, 188)(130, 178, 139, 187)(133, 181, 142, 190)(138, 186, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 116)(8, 118)(9, 120)(10, 98)(11, 122)(12, 124)(13, 99)(14, 101)(15, 102)(16, 126)(17, 125)(18, 129)(19, 131)(20, 133)(21, 103)(22, 134)(23, 104)(24, 106)(25, 135)(26, 137)(27, 107)(28, 109)(29, 138)(30, 110)(31, 113)(32, 139)(33, 141)(34, 114)(35, 142)(36, 115)(37, 117)(38, 119)(39, 143)(40, 121)(41, 123)(42, 127)(43, 144)(44, 128)(45, 130)(46, 132)(47, 136)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.595
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^4, Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 15, 63)(11, 59, 20, 68)(13, 61, 18, 66)(14, 62, 24, 72)(16, 64, 27, 75)(17, 65, 29, 77)(19, 67, 25, 73)(21, 69, 23, 71)(22, 70, 32, 80)(26, 74, 35, 83)(28, 76, 36, 84)(30, 78, 39, 87)(31, 79, 40, 88)(33, 81, 41, 89)(34, 82, 37, 85)(38, 86, 42, 90)(43, 91, 48, 96)(44, 92, 47, 95)(45, 93, 46, 94)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 104, 152)(102, 150, 107, 155)(103, 151, 109, 157)(105, 153, 112, 160)(106, 154, 114, 162)(108, 156, 117, 165)(110, 158, 119, 167)(111, 159, 121, 169)(113, 161, 124, 172)(115, 163, 123, 171)(116, 164, 120, 168)(118, 166, 127, 175)(122, 170, 130, 178)(125, 173, 133, 181)(126, 174, 129, 177)(128, 176, 137, 185)(131, 179, 132, 180)(134, 182, 141, 189)(135, 183, 136, 184)(138, 186, 144, 192)(139, 187, 140, 188)(142, 190, 143, 191)
	L = (1, 100)(2, 102)(3, 104)(4, 97)(5, 107)(6, 98)(7, 110)(8, 99)(9, 113)(10, 115)(11, 101)(12, 118)(13, 119)(14, 103)(15, 122)(16, 124)(17, 105)(18, 123)(19, 106)(20, 126)(21, 127)(22, 108)(23, 109)(24, 129)(25, 130)(26, 111)(27, 114)(28, 112)(29, 134)(30, 116)(31, 117)(32, 138)(33, 120)(34, 121)(35, 139)(36, 140)(37, 141)(38, 125)(39, 142)(40, 143)(41, 144)(42, 128)(43, 131)(44, 132)(45, 133)(46, 135)(47, 136)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.606
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^4, (Y1 * Y3 * Y2)^3, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 15, 63)(11, 59, 20, 68)(13, 61, 18, 66)(14, 62, 24, 72)(16, 64, 27, 75)(17, 65, 29, 77)(19, 67, 31, 79)(21, 69, 32, 80)(22, 70, 34, 82)(23, 71, 28, 76)(25, 73, 37, 85)(26, 74, 38, 86)(30, 78, 33, 81)(35, 83, 40, 88)(36, 84, 43, 91)(39, 87, 42, 90)(41, 89, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 104, 152)(102, 150, 107, 155)(103, 151, 109, 157)(105, 153, 112, 160)(106, 154, 114, 162)(108, 156, 117, 165)(110, 158, 119, 167)(111, 159, 121, 169)(113, 161, 124, 172)(115, 163, 126, 174)(116, 164, 122, 170)(118, 166, 129, 177)(120, 168, 131, 179)(123, 171, 133, 181)(125, 173, 136, 184)(127, 175, 132, 180)(128, 176, 134, 182)(130, 178, 139, 187)(135, 183, 141, 189)(137, 185, 143, 191)(138, 186, 142, 190)(140, 188, 144, 192)
	L = (1, 100)(2, 102)(3, 104)(4, 97)(5, 107)(6, 98)(7, 110)(8, 99)(9, 113)(10, 115)(11, 101)(12, 118)(13, 119)(14, 103)(15, 122)(16, 124)(17, 105)(18, 126)(19, 106)(20, 121)(21, 129)(22, 108)(23, 109)(24, 132)(25, 116)(26, 111)(27, 135)(28, 112)(29, 137)(30, 114)(31, 131)(32, 138)(33, 117)(34, 140)(35, 127)(36, 120)(37, 141)(38, 142)(39, 123)(40, 143)(41, 125)(42, 128)(43, 144)(44, 130)(45, 133)(46, 134)(47, 136)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.607
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 15, 63)(11, 59, 20, 68)(13, 61, 23, 71)(14, 62, 25, 73)(16, 64, 28, 76)(17, 65, 30, 78)(18, 66, 31, 79)(19, 67, 33, 81)(21, 69, 36, 84)(22, 70, 38, 86)(24, 72, 35, 83)(26, 74, 37, 85)(27, 75, 32, 80)(29, 77, 34, 82)(39, 87, 44, 92)(40, 88, 47, 95)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 104, 152)(102, 150, 107, 155)(103, 151, 109, 157)(105, 153, 112, 160)(106, 154, 114, 162)(108, 156, 117, 165)(110, 158, 120, 168)(111, 159, 122, 170)(113, 161, 125, 173)(115, 163, 128, 176)(116, 164, 130, 178)(118, 166, 133, 181)(119, 167, 135, 183)(121, 169, 137, 185)(123, 171, 139, 187)(124, 172, 138, 186)(126, 174, 136, 184)(127, 175, 140, 188)(129, 177, 142, 190)(131, 179, 144, 192)(132, 180, 143, 191)(134, 182, 141, 189)
	L = (1, 100)(2, 102)(3, 104)(4, 97)(5, 107)(6, 98)(7, 110)(8, 99)(9, 113)(10, 115)(11, 101)(12, 118)(13, 120)(14, 103)(15, 123)(16, 125)(17, 105)(18, 128)(19, 106)(20, 131)(21, 133)(22, 108)(23, 136)(24, 109)(25, 138)(26, 139)(27, 111)(28, 137)(29, 112)(30, 135)(31, 141)(32, 114)(33, 143)(34, 144)(35, 116)(36, 142)(37, 117)(38, 140)(39, 126)(40, 119)(41, 124)(42, 121)(43, 122)(44, 134)(45, 127)(46, 132)(47, 129)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.604
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^3, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 14, 62)(11, 59, 18, 66)(13, 61, 21, 69)(15, 63, 22, 70)(16, 64, 25, 73)(17, 65, 26, 74)(19, 67, 27, 75)(20, 68, 30, 78)(23, 71, 34, 82)(24, 72, 35, 83)(28, 76, 41, 89)(29, 77, 42, 90)(31, 79, 38, 86)(32, 80, 43, 91)(33, 81, 40, 88)(36, 84, 39, 87)(37, 85, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 104, 152)(102, 150, 107, 155)(103, 151, 106, 154)(105, 153, 111, 159)(108, 156, 115, 163)(109, 157, 113, 161)(110, 158, 118, 166)(112, 160, 120, 168)(114, 162, 123, 171)(116, 164, 125, 173)(117, 165, 127, 175)(119, 167, 129, 177)(121, 169, 132, 180)(122, 170, 134, 182)(124, 172, 136, 184)(126, 174, 139, 187)(128, 176, 138, 186)(130, 178, 137, 185)(131, 179, 135, 183)(133, 181, 142, 190)(140, 188, 144, 192)(141, 189, 143, 191)
	L = (1, 100)(2, 102)(3, 104)(4, 97)(5, 107)(6, 98)(7, 109)(8, 99)(9, 112)(10, 113)(11, 101)(12, 116)(13, 103)(14, 119)(15, 120)(16, 105)(17, 106)(18, 124)(19, 125)(20, 108)(21, 128)(22, 129)(23, 110)(24, 111)(25, 133)(26, 135)(27, 136)(28, 114)(29, 115)(30, 140)(31, 138)(32, 117)(33, 118)(34, 141)(35, 134)(36, 142)(37, 121)(38, 131)(39, 122)(40, 123)(41, 143)(42, 127)(43, 144)(44, 126)(45, 130)(46, 132)(47, 137)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.605
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^6, Y1 * Y2 * Y1 * Y2 * Y1^-2 * Y2, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 14, 62, 5, 53)(3, 51, 9, 57, 21, 69, 32, 80, 26, 74, 11, 59)(4, 52, 12, 60, 27, 75, 33, 81, 17, 65, 8, 56)(7, 55, 18, 66, 36, 84, 31, 79, 25, 73, 20, 68)(10, 58, 24, 72, 41, 89, 46, 94, 39, 87, 23, 71)(13, 61, 29, 77, 22, 70, 16, 64, 34, 82, 30, 78)(19, 67, 38, 86, 42, 90, 43, 91, 48, 96, 37, 85)(28, 76, 44, 92, 47, 95, 35, 83, 40, 88, 45, 93)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 109, 157)(102, 150, 112, 160)(104, 152, 115, 163)(105, 153, 118, 166)(107, 155, 121, 169)(108, 156, 124, 172)(110, 158, 127, 175)(111, 159, 128, 176)(113, 161, 131, 179)(114, 162, 117, 165)(116, 164, 125, 173)(119, 167, 136, 184)(120, 168, 138, 186)(122, 170, 126, 174)(123, 171, 139, 187)(129, 177, 142, 190)(130, 178, 132, 180)(133, 181, 135, 183)(134, 182, 141, 189)(137, 185, 140, 188)(143, 191, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 108)(6, 113)(7, 115)(8, 98)(9, 119)(10, 99)(11, 120)(12, 101)(13, 124)(14, 123)(15, 129)(16, 131)(17, 102)(18, 133)(19, 103)(20, 134)(21, 135)(22, 136)(23, 105)(24, 107)(25, 138)(26, 137)(27, 110)(28, 109)(29, 141)(30, 140)(31, 139)(32, 142)(33, 111)(34, 143)(35, 112)(36, 144)(37, 114)(38, 116)(39, 117)(40, 118)(41, 122)(42, 121)(43, 127)(44, 126)(45, 125)(46, 128)(47, 130)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.602
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^6, (Y2 * Y1^-1)^3, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 14, 62, 5, 53)(3, 51, 9, 57, 21, 69, 30, 78, 25, 73, 11, 59)(4, 52, 12, 60, 26, 74, 31, 79, 17, 65, 8, 56)(7, 55, 18, 66, 35, 83, 29, 77, 38, 86, 20, 68)(10, 58, 24, 72, 41, 89, 44, 92, 39, 87, 23, 71)(13, 61, 28, 76, 34, 82, 16, 64, 32, 80, 22, 70)(19, 67, 37, 85, 48, 96, 42, 90, 47, 95, 36, 84)(27, 75, 40, 88, 45, 93, 33, 81, 46, 94, 43, 91)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 109, 157)(102, 150, 112, 160)(104, 152, 115, 163)(105, 153, 118, 166)(107, 155, 114, 162)(108, 156, 123, 171)(110, 158, 125, 173)(111, 159, 126, 174)(113, 161, 129, 177)(116, 164, 128, 176)(117, 165, 134, 182)(119, 167, 136, 184)(120, 168, 132, 180)(121, 169, 130, 178)(122, 170, 138, 186)(124, 172, 131, 179)(127, 175, 140, 188)(133, 181, 141, 189)(135, 183, 144, 192)(137, 185, 142, 190)(139, 187, 143, 191)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 108)(6, 113)(7, 115)(8, 98)(9, 119)(10, 99)(11, 120)(12, 101)(13, 123)(14, 122)(15, 127)(16, 129)(17, 102)(18, 132)(19, 103)(20, 133)(21, 135)(22, 136)(23, 105)(24, 107)(25, 137)(26, 110)(27, 109)(28, 139)(29, 138)(30, 140)(31, 111)(32, 141)(33, 112)(34, 142)(35, 143)(36, 114)(37, 116)(38, 144)(39, 117)(40, 118)(41, 121)(42, 125)(43, 124)(44, 126)(45, 128)(46, 130)(47, 131)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.603
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, Y1^6, Y2 * Y1 * Y2 * Y3 * Y1^-2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 14, 62, 5, 53)(3, 51, 9, 57, 21, 69, 32, 80, 26, 74, 11, 59)(4, 52, 12, 60, 27, 75, 33, 81, 17, 65, 8, 56)(7, 55, 18, 66, 37, 85, 31, 79, 42, 90, 20, 68)(10, 58, 24, 72, 41, 89, 46, 94, 44, 92, 23, 71)(13, 61, 29, 77, 36, 84, 16, 64, 34, 82, 30, 78)(19, 67, 40, 88, 48, 96, 45, 93, 22, 70, 39, 87)(25, 73, 35, 83, 47, 95, 43, 91, 28, 76, 38, 86)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 109, 157)(102, 150, 112, 160)(104, 152, 115, 163)(105, 153, 118, 166)(107, 155, 121, 169)(108, 156, 124, 172)(110, 158, 127, 175)(111, 159, 128, 176)(113, 161, 131, 179)(114, 162, 134, 182)(116, 164, 137, 185)(117, 165, 139, 187)(119, 167, 133, 181)(120, 168, 130, 178)(122, 170, 136, 184)(123, 171, 141, 189)(125, 173, 140, 188)(126, 174, 135, 183)(129, 177, 142, 190)(132, 180, 144, 192)(138, 186, 143, 191)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 108)(6, 113)(7, 115)(8, 98)(9, 119)(10, 99)(11, 120)(12, 101)(13, 124)(14, 123)(15, 129)(16, 131)(17, 102)(18, 135)(19, 103)(20, 136)(21, 140)(22, 133)(23, 105)(24, 107)(25, 130)(26, 137)(27, 110)(28, 109)(29, 139)(30, 134)(31, 141)(32, 142)(33, 111)(34, 121)(35, 112)(36, 143)(37, 118)(38, 126)(39, 114)(40, 116)(41, 122)(42, 144)(43, 125)(44, 117)(45, 127)(46, 128)(47, 132)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.600
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, Y1^6, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-3)^2, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 14, 62, 5, 53)(3, 51, 9, 57, 21, 69, 32, 80, 26, 74, 11, 59)(4, 52, 12, 60, 27, 75, 33, 81, 17, 65, 8, 56)(7, 55, 18, 66, 37, 85, 31, 79, 40, 88, 20, 68)(10, 58, 24, 72, 44, 92, 48, 96, 42, 90, 23, 71)(13, 61, 29, 77, 36, 84, 16, 64, 34, 82, 30, 78)(19, 67, 22, 70, 43, 91, 46, 94, 45, 93, 39, 87)(25, 73, 28, 76, 47, 95, 41, 89, 35, 83, 38, 86)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 109, 157)(102, 150, 112, 160)(104, 152, 115, 163)(105, 153, 118, 166)(107, 155, 121, 169)(108, 156, 124, 172)(110, 158, 127, 175)(111, 159, 128, 176)(113, 161, 131, 179)(114, 162, 134, 182)(116, 164, 119, 167)(117, 165, 137, 185)(120, 168, 125, 173)(122, 170, 141, 189)(123, 171, 142, 190)(126, 174, 139, 187)(129, 177, 144, 192)(130, 178, 138, 186)(132, 180, 135, 183)(133, 181, 140, 188)(136, 184, 143, 191)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 108)(6, 113)(7, 115)(8, 98)(9, 119)(10, 99)(11, 120)(12, 101)(13, 124)(14, 123)(15, 129)(16, 131)(17, 102)(18, 135)(19, 103)(20, 118)(21, 138)(22, 116)(23, 105)(24, 107)(25, 125)(26, 140)(27, 110)(28, 109)(29, 121)(30, 143)(31, 142)(32, 144)(33, 111)(34, 137)(35, 112)(36, 134)(37, 141)(38, 132)(39, 114)(40, 139)(41, 130)(42, 117)(43, 136)(44, 122)(45, 133)(46, 127)(47, 126)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.601
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.608 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^6, T1^-1 * T2^-2 * T1 * T2^-2, (T2 * T1^-1)^4, (T2^-1 * T1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 16, 5)(2, 7, 20, 38, 24, 8)(4, 12, 31, 45, 28, 13)(6, 17, 34, 46, 35, 18)(9, 25, 14, 32, 43, 26)(11, 29, 15, 33, 44, 30)(19, 36, 22, 41, 47, 37)(21, 39, 23, 42, 48, 40)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 66, 63)(55, 67, 60, 69)(56, 70, 61, 71)(58, 72, 82, 76)(64, 68, 83, 79)(73, 84, 77, 87)(74, 89, 78, 90)(75, 91, 94, 92)(80, 85, 81, 88)(86, 95, 93, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.609
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.609 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^-2 * T1^-1, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 10, 58, 5, 53)(2, 50, 7, 55, 19, 67, 8, 56)(4, 52, 12, 60, 25, 73, 13, 61)(6, 54, 16, 64, 28, 76, 17, 65)(9, 57, 23, 71, 14, 62, 24, 72)(11, 59, 26, 74, 15, 63, 27, 75)(18, 66, 29, 77, 21, 69, 30, 78)(20, 68, 31, 79, 22, 70, 32, 80)(33, 81, 41, 89, 35, 83, 42, 90)(34, 82, 43, 91, 36, 84, 44, 92)(37, 85, 45, 93, 39, 87, 46, 94)(38, 86, 47, 95, 40, 88, 48, 96)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 66)(8, 69)(9, 64)(10, 67)(11, 51)(12, 68)(13, 70)(14, 65)(15, 53)(16, 59)(17, 63)(18, 60)(19, 76)(20, 55)(21, 61)(22, 56)(23, 81)(24, 83)(25, 58)(26, 82)(27, 84)(28, 73)(29, 85)(30, 87)(31, 86)(32, 88)(33, 74)(34, 71)(35, 75)(36, 72)(37, 79)(38, 77)(39, 80)(40, 78)(41, 96)(42, 95)(43, 94)(44, 93)(45, 90)(46, 89)(47, 92)(48, 91)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.608
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^6, Y2^2 * Y1 * Y2^2 * Y1^-1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 24, 72, 34, 82, 28, 76)(16, 64, 20, 68, 35, 83, 31, 79)(25, 73, 36, 84, 29, 77, 39, 87)(26, 74, 41, 89, 30, 78, 42, 90)(27, 75, 43, 91, 46, 94, 44, 92)(32, 80, 37, 85, 33, 81, 40, 88)(38, 86, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 123, 171, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 134, 182, 120, 168, 104, 152)(100, 148, 108, 156, 127, 175, 141, 189, 124, 172, 109, 157)(102, 150, 113, 161, 130, 178, 142, 190, 131, 179, 114, 162)(105, 153, 121, 169, 110, 158, 128, 176, 139, 187, 122, 170)(107, 155, 125, 173, 111, 159, 129, 177, 140, 188, 126, 174)(115, 163, 132, 180, 118, 166, 137, 185, 143, 191, 133, 181)(117, 165, 135, 183, 119, 167, 138, 186, 144, 192, 136, 184)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 116)(8, 98)(9, 121)(10, 123)(11, 125)(12, 127)(13, 100)(14, 128)(15, 129)(16, 101)(17, 130)(18, 102)(19, 132)(20, 134)(21, 135)(22, 137)(23, 138)(24, 104)(25, 110)(26, 105)(27, 112)(28, 109)(29, 111)(30, 107)(31, 141)(32, 139)(33, 140)(34, 142)(35, 114)(36, 118)(37, 115)(38, 120)(39, 119)(40, 117)(41, 143)(42, 144)(43, 122)(44, 126)(45, 124)(46, 131)(47, 133)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E9.611
Graph:: bipartite
	v = 20 e = 96 f = 60
	degree seq :: [ 8^12, 12^8 ]

E9.611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 100, 148)(99, 147, 105, 153, 113, 161, 107, 155)(101, 149, 110, 158, 114, 162, 111, 159)(103, 151, 115, 163, 108, 156, 117, 165)(104, 152, 118, 166, 109, 157, 119, 167)(106, 154, 120, 168, 130, 178, 124, 172)(112, 160, 116, 164, 131, 179, 127, 175)(121, 169, 132, 180, 125, 173, 135, 183)(122, 170, 137, 185, 126, 174, 138, 186)(123, 171, 139, 187, 142, 190, 140, 188)(128, 176, 133, 181, 129, 177, 136, 184)(134, 182, 143, 191, 141, 189, 144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 116)(8, 98)(9, 121)(10, 123)(11, 125)(12, 127)(13, 100)(14, 128)(15, 129)(16, 101)(17, 130)(18, 102)(19, 132)(20, 134)(21, 135)(22, 137)(23, 138)(24, 104)(25, 110)(26, 105)(27, 112)(28, 109)(29, 111)(30, 107)(31, 141)(32, 139)(33, 140)(34, 142)(35, 114)(36, 118)(37, 115)(38, 120)(39, 119)(40, 117)(41, 143)(42, 144)(43, 122)(44, 126)(45, 124)(46, 131)(47, 133)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.610
Graph:: simple bipartite
	v = 60 e = 96 f = 20
	degree seq :: [ 2^48, 8^12 ]

E9.612 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^4, (T2 * T1^-1)^3, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, T1 * T2 * T1 * T2 * T1^-1 * T2, T2^2 * T1^-1 * T2^2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 27, 13)(6, 16, 30, 17)(9, 22, 36, 23)(11, 21, 35, 26)(14, 28, 31, 18)(15, 29, 34, 20)(24, 38, 46, 39)(25, 37, 45, 40)(32, 42, 48, 43)(33, 41, 47, 44)(49, 50, 54, 52)(51, 57, 64, 59)(53, 62, 65, 63)(55, 66, 60, 68)(56, 69, 61, 70)(58, 72, 78, 73)(67, 80, 75, 81)(71, 85, 74, 86)(76, 87, 77, 88)(79, 89, 82, 90)(83, 91, 84, 92)(93, 95, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E9.619
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 48 f = 8
	degree seq :: [ 4^24 ]

E9.613 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-2 * T2^3, (T1 * T2)^4, (T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 6, 16, 5)(2, 7, 13, 4, 12, 8)(9, 21, 24, 11, 23, 22)(14, 25, 28, 15, 27, 26)(17, 29, 32, 18, 31, 30)(19, 33, 36, 20, 35, 34)(37, 45, 39, 38, 46, 40)(41, 47, 43, 42, 48, 44)(49, 50, 54, 52)(51, 57, 64, 59)(53, 62, 58, 63)(55, 65, 60, 66)(56, 67, 61, 68)(69, 82, 71, 84)(70, 85, 72, 86)(73, 87, 75, 88)(74, 77, 76, 79)(78, 89, 80, 90)(81, 91, 83, 92)(93, 95, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.616
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.614 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1 * T2^-2, T2^6, (T2 * T1^-1)^4, (T1^-1 * T2^-1 * T1 * T2^-1)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 26, 16, 5)(2, 7, 19, 34, 15, 8)(4, 12, 9, 24, 31, 13)(6, 17, 28, 42, 22, 18)(11, 27, 25, 35, 33, 14)(20, 39, 38, 32, 41, 21)(23, 43, 45, 30, 29, 44)(36, 47, 46, 40, 48, 37)(49, 50, 54, 52)(51, 57, 71, 59)(53, 62, 80, 63)(55, 58, 73, 68)(56, 69, 88, 70)(60, 76, 94, 77)(61, 78, 83, 64)(65, 67, 86, 84)(66, 85, 91, 79)(72, 74, 82, 90)(75, 93, 95, 89)(81, 92, 96, 87)
	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 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.617
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.615 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^2 * T1 * T2^-1, T2^6, T2^6, (T2^-1 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 16, 5)(2, 7, 11, 27, 22, 8)(4, 12, 29, 33, 14, 13)(6, 17, 20, 40, 30, 18)(9, 24, 26, 35, 34, 15)(19, 39, 23, 42, 41, 21)(28, 44, 45, 32, 43, 31)(36, 47, 38, 46, 48, 37)(49, 50, 54, 52)(51, 57, 71, 59)(53, 62, 80, 63)(55, 67, 86, 68)(56, 64, 83, 69)(58, 60, 76, 74)(61, 78, 94, 79)(65, 84, 93, 77)(66, 70, 90, 85)(72, 91, 95, 89)(73, 75, 88, 81)(82, 92, 96, 87)
	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 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.618
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.616 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^4, (T2 * T1^-1)^3, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, T1 * T2 * T1 * T2 * T1^-1 * T2, T2^2 * T1^-1 * T2^2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 10, 58, 5, 53)(2, 50, 7, 55, 19, 67, 8, 56)(4, 52, 12, 60, 27, 75, 13, 61)(6, 54, 16, 64, 30, 78, 17, 65)(9, 57, 22, 70, 36, 84, 23, 71)(11, 59, 21, 69, 35, 83, 26, 74)(14, 62, 28, 76, 31, 79, 18, 66)(15, 63, 29, 77, 34, 82, 20, 68)(24, 72, 38, 86, 46, 94, 39, 87)(25, 73, 37, 85, 45, 93, 40, 88)(32, 80, 42, 90, 48, 96, 43, 91)(33, 81, 41, 89, 47, 95, 44, 92)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 66)(8, 69)(9, 64)(10, 72)(11, 51)(12, 68)(13, 70)(14, 65)(15, 53)(16, 59)(17, 63)(18, 60)(19, 80)(20, 55)(21, 61)(22, 56)(23, 85)(24, 78)(25, 58)(26, 86)(27, 81)(28, 87)(29, 88)(30, 73)(31, 89)(32, 75)(33, 67)(34, 90)(35, 91)(36, 92)(37, 74)(38, 71)(39, 77)(40, 76)(41, 82)(42, 79)(43, 84)(44, 83)(45, 95)(46, 96)(47, 94)(48, 93)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.613
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.617 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^4, (T1 * T2^-1)^3, T2 * T1 * T2 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 5, 53)(2, 50, 7, 55, 19, 67, 8, 56)(4, 52, 12, 60, 26, 74, 13, 61)(6, 54, 16, 64, 31, 79, 17, 65)(9, 57, 24, 72, 14, 62, 25, 73)(11, 59, 21, 69, 15, 63, 18, 66)(20, 68, 33, 81, 22, 70, 30, 78)(23, 71, 37, 85, 29, 77, 38, 86)(27, 75, 32, 80, 28, 76, 34, 82)(35, 83, 43, 91, 36, 84, 44, 92)(39, 87, 46, 94, 40, 88, 45, 93)(41, 89, 47, 95, 42, 90, 48, 96)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 66)(8, 69)(9, 71)(10, 67)(11, 51)(12, 75)(13, 76)(14, 77)(15, 53)(16, 78)(17, 81)(18, 83)(19, 79)(20, 55)(21, 84)(22, 56)(23, 59)(24, 60)(25, 61)(26, 58)(27, 87)(28, 88)(29, 63)(30, 89)(31, 74)(32, 64)(33, 90)(34, 65)(35, 68)(36, 70)(37, 93)(38, 94)(39, 72)(40, 73)(41, 80)(42, 82)(43, 86)(44, 85)(45, 95)(46, 96)(47, 92)(48, 91)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.614
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.618 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^3, T2^-2 * T1^2 * T2^-2 * T1^-2, T1^-1 * T2 * T1^-3 * T2^-2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 10, 58, 5, 53)(2, 50, 7, 55, 19, 67, 8, 56)(4, 52, 12, 60, 28, 76, 13, 61)(6, 54, 16, 64, 33, 81, 17, 65)(9, 57, 18, 66, 32, 80, 24, 72)(11, 59, 21, 69, 34, 82, 27, 75)(14, 62, 20, 68, 35, 83, 29, 77)(15, 63, 22, 70, 36, 84, 30, 78)(23, 71, 41, 89, 31, 79, 39, 87)(25, 73, 37, 85, 46, 94, 40, 88)(26, 74, 42, 90, 47, 95, 43, 91)(38, 86, 44, 92, 48, 96, 45, 93)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 66)(8, 69)(9, 71)(10, 73)(11, 51)(12, 72)(13, 75)(14, 79)(15, 53)(16, 80)(17, 83)(18, 85)(19, 86)(20, 55)(21, 88)(22, 56)(23, 59)(24, 90)(25, 81)(26, 58)(27, 91)(28, 87)(29, 60)(30, 61)(31, 63)(32, 92)(33, 74)(34, 64)(35, 93)(36, 65)(37, 68)(38, 76)(39, 67)(40, 70)(41, 94)(42, 77)(43, 78)(44, 82)(45, 84)(46, 96)(47, 89)(48, 95)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.615
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.619 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-2 * T2^3, (T1 * T2)^4, (T2 * T1 * T2 * T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 6, 54, 16, 64, 5, 53)(2, 50, 7, 55, 13, 61, 4, 52, 12, 60, 8, 56)(9, 57, 21, 69, 24, 72, 11, 59, 23, 71, 22, 70)(14, 62, 25, 73, 28, 76, 15, 63, 27, 75, 26, 74)(17, 65, 29, 77, 32, 80, 18, 66, 31, 79, 30, 78)(19, 67, 33, 81, 36, 84, 20, 68, 35, 83, 34, 82)(37, 85, 45, 93, 39, 87, 38, 86, 46, 94, 40, 88)(41, 89, 47, 95, 43, 91, 42, 90, 48, 96, 44, 92)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 65)(8, 67)(9, 64)(10, 63)(11, 51)(12, 66)(13, 68)(14, 58)(15, 53)(16, 59)(17, 60)(18, 55)(19, 61)(20, 56)(21, 82)(22, 85)(23, 84)(24, 86)(25, 87)(26, 77)(27, 88)(28, 79)(29, 76)(30, 89)(31, 74)(32, 90)(33, 91)(34, 71)(35, 92)(36, 69)(37, 72)(38, 70)(39, 75)(40, 73)(41, 80)(42, 78)(43, 83)(44, 81)(45, 95)(46, 96)(47, 94)(48, 93)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.612
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 24
	degree seq :: [ 12^8 ]

E9.620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3, (R * Y1)^2, Y1^4, Y2^4, (R * Y3)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y2^-2)^2 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 23, 71, 11, 59)(5, 53, 14, 62, 29, 77, 15, 63)(7, 55, 18, 66, 35, 83, 20, 68)(8, 56, 21, 69, 36, 84, 22, 70)(10, 58, 19, 67, 31, 79, 26, 74)(12, 60, 27, 75, 39, 87, 24, 72)(13, 61, 28, 76, 40, 88, 25, 73)(16, 64, 30, 78, 41, 89, 32, 80)(17, 65, 33, 81, 42, 90, 34, 82)(37, 85, 45, 93, 47, 95, 44, 92)(38, 86, 46, 94, 48, 96, 43, 91)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 103, 151, 115, 163, 104, 152)(100, 148, 108, 156, 122, 170, 109, 157)(102, 150, 112, 160, 127, 175, 113, 161)(105, 153, 120, 168, 110, 158, 121, 169)(107, 155, 117, 165, 111, 159, 114, 162)(116, 164, 129, 177, 118, 166, 126, 174)(119, 167, 133, 181, 125, 173, 134, 182)(123, 171, 128, 176, 124, 172, 130, 178)(131, 179, 139, 187, 132, 180, 140, 188)(135, 183, 142, 190, 136, 184, 141, 189)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 97)(3, 107)(4, 102)(5, 111)(6, 98)(7, 116)(8, 118)(9, 99)(10, 122)(11, 119)(12, 120)(13, 121)(14, 101)(15, 125)(16, 128)(17, 130)(18, 103)(19, 106)(20, 131)(21, 104)(22, 132)(23, 105)(24, 135)(25, 136)(26, 127)(27, 108)(28, 109)(29, 110)(30, 112)(31, 115)(32, 137)(33, 113)(34, 138)(35, 114)(36, 117)(37, 140)(38, 139)(39, 123)(40, 124)(41, 126)(42, 129)(43, 144)(44, 143)(45, 133)(46, 134)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.627
Graph:: bipartite
	v = 24 e = 96 f = 56
	degree seq :: [ 8^24 ]

E9.621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2^3 * Y1^-1, (Y1 * Y2)^4, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 16, 64, 11, 59)(5, 53, 14, 62, 10, 58, 15, 63)(7, 55, 17, 65, 12, 60, 18, 66)(8, 56, 19, 67, 13, 61, 20, 68)(21, 69, 34, 82, 23, 71, 36, 84)(22, 70, 37, 85, 24, 72, 38, 86)(25, 73, 39, 87, 27, 75, 40, 88)(26, 74, 29, 77, 28, 76, 31, 79)(30, 78, 41, 89, 32, 80, 42, 90)(33, 81, 43, 91, 35, 83, 44, 92)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 102, 150, 112, 160, 101, 149)(98, 146, 103, 151, 109, 157, 100, 148, 108, 156, 104, 152)(105, 153, 117, 165, 120, 168, 107, 155, 119, 167, 118, 166)(110, 158, 121, 169, 124, 172, 111, 159, 123, 171, 122, 170)(113, 161, 125, 173, 128, 176, 114, 162, 127, 175, 126, 174)(115, 163, 129, 177, 132, 180, 116, 164, 131, 179, 130, 178)(133, 181, 141, 189, 135, 183, 134, 182, 142, 190, 136, 184)(137, 185, 143, 191, 139, 187, 138, 186, 144, 192, 140, 188)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 112)(7, 109)(8, 98)(9, 117)(10, 102)(11, 119)(12, 104)(13, 100)(14, 121)(15, 123)(16, 101)(17, 125)(18, 127)(19, 129)(20, 131)(21, 120)(22, 105)(23, 118)(24, 107)(25, 124)(26, 110)(27, 122)(28, 111)(29, 128)(30, 113)(31, 126)(32, 114)(33, 132)(34, 115)(35, 130)(36, 116)(37, 141)(38, 142)(39, 134)(40, 133)(41, 143)(42, 144)(43, 138)(44, 137)(45, 135)(46, 136)(47, 139)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E9.626
Graph:: bipartite
	v = 20 e = 96 f = 60
	degree seq :: [ 8^12, 12^8 ]

E9.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1 * Y2^-2 * Y1 * Y2, Y2^6, (Y1^-1 * Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1^-1)^4, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 23, 71, 11, 59)(5, 53, 14, 62, 32, 80, 15, 63)(7, 55, 10, 58, 25, 73, 20, 68)(8, 56, 21, 69, 40, 88, 22, 70)(12, 60, 28, 76, 46, 94, 29, 77)(13, 61, 30, 78, 35, 83, 16, 64)(17, 65, 19, 67, 38, 86, 36, 84)(18, 66, 37, 85, 43, 91, 31, 79)(24, 72, 26, 74, 34, 82, 42, 90)(27, 75, 45, 93, 47, 95, 41, 89)(33, 81, 44, 92, 48, 96, 39, 87)(97, 145, 99, 147, 106, 154, 122, 170, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 130, 178, 111, 159, 104, 152)(100, 148, 108, 156, 105, 153, 120, 168, 127, 175, 109, 157)(102, 150, 113, 161, 124, 172, 138, 186, 118, 166, 114, 162)(107, 155, 123, 171, 121, 169, 131, 179, 129, 177, 110, 158)(116, 164, 135, 183, 134, 182, 128, 176, 137, 185, 117, 165)(119, 167, 139, 187, 141, 189, 126, 174, 125, 173, 140, 188)(132, 180, 143, 191, 142, 190, 136, 184, 144, 192, 133, 181)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 115)(8, 98)(9, 120)(10, 122)(11, 123)(12, 105)(13, 100)(14, 107)(15, 104)(16, 101)(17, 124)(18, 102)(19, 130)(20, 135)(21, 116)(22, 114)(23, 139)(24, 127)(25, 131)(26, 112)(27, 121)(28, 138)(29, 140)(30, 125)(31, 109)(32, 137)(33, 110)(34, 111)(35, 129)(36, 143)(37, 132)(38, 128)(39, 134)(40, 144)(41, 117)(42, 118)(43, 141)(44, 119)(45, 126)(46, 136)(47, 142)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.624
Graph:: bipartite
	v = 20 e = 96 f = 60
	degree seq :: [ 8^12, 12^8 ]

E9.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1 * Y2^-1 * Y1 * Y2^2, Y2^6, Y2^6, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 23, 71, 11, 59)(5, 53, 14, 62, 32, 80, 15, 63)(7, 55, 19, 67, 38, 86, 20, 68)(8, 56, 16, 64, 35, 83, 21, 69)(10, 58, 12, 60, 28, 76, 26, 74)(13, 61, 30, 78, 46, 94, 31, 79)(17, 65, 36, 84, 45, 93, 29, 77)(18, 66, 22, 70, 42, 90, 37, 85)(24, 72, 43, 91, 47, 95, 41, 89)(25, 73, 27, 75, 40, 88, 33, 81)(34, 82, 44, 92, 48, 96, 39, 87)(97, 145, 99, 147, 106, 154, 121, 169, 112, 160, 101, 149)(98, 146, 103, 151, 107, 155, 123, 171, 118, 166, 104, 152)(100, 148, 108, 156, 125, 173, 129, 177, 110, 158, 109, 157)(102, 150, 113, 161, 116, 164, 136, 184, 126, 174, 114, 162)(105, 153, 120, 168, 122, 170, 131, 179, 130, 178, 111, 159)(115, 163, 135, 183, 119, 167, 138, 186, 137, 185, 117, 165)(124, 172, 140, 188, 141, 189, 128, 176, 139, 187, 127, 175)(132, 180, 143, 191, 134, 182, 142, 190, 144, 192, 133, 181)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 107)(8, 98)(9, 120)(10, 121)(11, 123)(12, 125)(13, 100)(14, 109)(15, 105)(16, 101)(17, 116)(18, 102)(19, 135)(20, 136)(21, 115)(22, 104)(23, 138)(24, 122)(25, 112)(26, 131)(27, 118)(28, 140)(29, 129)(30, 114)(31, 124)(32, 139)(33, 110)(34, 111)(35, 130)(36, 143)(37, 132)(38, 142)(39, 119)(40, 126)(41, 117)(42, 137)(43, 127)(44, 141)(45, 128)(46, 144)(47, 134)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.625
Graph:: bipartite
	v = 20 e = 96 f = 60
	degree seq :: [ 8^12, 12^8 ]

E9.624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^3 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^4, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 100, 148)(99, 147, 105, 153, 112, 160, 107, 155)(101, 149, 110, 158, 106, 154, 111, 159)(103, 151, 113, 161, 108, 156, 114, 162)(104, 152, 115, 163, 109, 157, 116, 164)(117, 165, 130, 178, 119, 167, 132, 180)(118, 166, 133, 181, 120, 168, 134, 182)(121, 169, 135, 183, 123, 171, 136, 184)(122, 170, 125, 173, 124, 172, 127, 175)(126, 174, 137, 185, 128, 176, 138, 186)(129, 177, 139, 187, 131, 179, 140, 188)(141, 189, 143, 191, 142, 190, 144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 112)(7, 109)(8, 98)(9, 117)(10, 102)(11, 119)(12, 104)(13, 100)(14, 121)(15, 123)(16, 101)(17, 125)(18, 127)(19, 129)(20, 131)(21, 120)(22, 105)(23, 118)(24, 107)(25, 124)(26, 110)(27, 122)(28, 111)(29, 128)(30, 113)(31, 126)(32, 114)(33, 132)(34, 115)(35, 130)(36, 116)(37, 141)(38, 142)(39, 134)(40, 133)(41, 143)(42, 144)(43, 138)(44, 137)(45, 135)(46, 136)(47, 139)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.622
Graph:: simple bipartite
	v = 60 e = 96 f = 20
	degree seq :: [ 2^48, 8^12 ]

E9.625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^-1 * Y2 * R * Y2^-1 * R, Y2 * Y3^-2 * Y2 * Y3, Y3^6, Y3^6, (Y3 * Y2^-1)^4, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 100, 148)(99, 147, 105, 153, 119, 167, 107, 155)(101, 149, 110, 158, 128, 176, 111, 159)(103, 151, 106, 154, 121, 169, 116, 164)(104, 152, 117, 165, 136, 184, 118, 166)(108, 156, 124, 172, 142, 190, 125, 173)(109, 157, 126, 174, 131, 179, 112, 160)(113, 161, 115, 163, 134, 182, 132, 180)(114, 162, 133, 181, 139, 187, 127, 175)(120, 168, 122, 170, 130, 178, 138, 186)(123, 171, 141, 189, 143, 191, 137, 185)(129, 177, 140, 188, 144, 192, 135, 183)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 115)(8, 98)(9, 120)(10, 122)(11, 123)(12, 105)(13, 100)(14, 107)(15, 104)(16, 101)(17, 124)(18, 102)(19, 130)(20, 135)(21, 116)(22, 114)(23, 139)(24, 127)(25, 131)(26, 112)(27, 121)(28, 138)(29, 140)(30, 125)(31, 109)(32, 137)(33, 110)(34, 111)(35, 129)(36, 143)(37, 132)(38, 128)(39, 134)(40, 144)(41, 117)(42, 118)(43, 141)(44, 119)(45, 126)(46, 136)(47, 142)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.623
Graph:: simple bipartite
	v = 60 e = 96 f = 20
	degree seq :: [ 2^48, 8^12 ]

E9.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, R * Y2 * Y3 * R * Y2^-1, Y2 * Y3^-1 * Y2 * Y3^2, Y3^6, (Y2^-1 * Y3^-1)^4, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 100, 148)(99, 147, 105, 153, 119, 167, 107, 155)(101, 149, 110, 158, 128, 176, 111, 159)(103, 151, 115, 163, 134, 182, 116, 164)(104, 152, 112, 160, 131, 179, 117, 165)(106, 154, 108, 156, 124, 172, 122, 170)(109, 157, 126, 174, 142, 190, 127, 175)(113, 161, 132, 180, 141, 189, 125, 173)(114, 162, 118, 166, 138, 186, 133, 181)(120, 168, 139, 187, 143, 191, 137, 185)(121, 169, 123, 171, 136, 184, 129, 177)(130, 178, 140, 188, 144, 192, 135, 183)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 107)(8, 98)(9, 120)(10, 121)(11, 123)(12, 125)(13, 100)(14, 109)(15, 105)(16, 101)(17, 116)(18, 102)(19, 135)(20, 136)(21, 115)(22, 104)(23, 138)(24, 122)(25, 112)(26, 131)(27, 118)(28, 140)(29, 129)(30, 114)(31, 124)(32, 139)(33, 110)(34, 111)(35, 130)(36, 143)(37, 132)(38, 142)(39, 119)(40, 126)(41, 117)(42, 137)(43, 127)(44, 141)(45, 128)(46, 144)(47, 134)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.621
Graph:: simple bipartite
	v = 60 e = 96 f = 20
	degree seq :: [ 2^48, 8^12 ]

E9.627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y1^3 * Y3^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, (Y1 * Y3 * Y1 * Y3^-1)^2, (Y1 * Y3^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 10, 58, 13, 61, 4, 52)(3, 51, 9, 57, 16, 64, 5, 53, 15, 63, 11, 59)(7, 55, 17, 65, 20, 68, 8, 56, 19, 67, 18, 66)(12, 60, 25, 73, 28, 76, 14, 62, 27, 75, 26, 74)(21, 69, 33, 81, 36, 84, 22, 70, 35, 83, 34, 82)(23, 71, 37, 85, 30, 78, 24, 72, 38, 86, 29, 77)(31, 79, 41, 89, 39, 87, 32, 80, 42, 90, 40, 88)(43, 91, 47, 95, 45, 93, 44, 92, 48, 96, 46, 94)(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, 110)(7, 109)(8, 98)(9, 117)(10, 101)(11, 119)(12, 102)(13, 104)(14, 100)(15, 118)(16, 120)(17, 125)(18, 127)(19, 126)(20, 128)(21, 111)(22, 105)(23, 112)(24, 107)(25, 135)(26, 129)(27, 136)(28, 131)(29, 115)(30, 113)(31, 116)(32, 114)(33, 124)(34, 139)(35, 122)(36, 140)(37, 141)(38, 142)(39, 123)(40, 121)(41, 143)(42, 144)(43, 132)(44, 130)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E9.620
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 2^48, 12^8 ]

E9.628 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2 * T1^-1)^2, (T2 * T1 * T2)^2, T2^6, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 14, 5)(2, 7, 18, 35, 20, 8)(4, 11, 26, 40, 23, 12)(6, 15, 30, 44, 32, 16)(9, 21, 13, 28, 39, 22)(17, 33, 19, 36, 46, 34)(25, 37, 27, 38, 47, 41)(29, 42, 31, 45, 48, 43)(49, 50, 54, 52)(51, 57, 67, 56)(53, 59, 73, 61)(55, 65, 79, 64)(58, 71, 86, 70)(60, 63, 77, 75)(62, 76, 82, 66)(68, 84, 91, 78)(69, 85, 90, 81)(72, 83, 92, 88)(74, 80, 93, 89)(87, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.629
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 4^12, 6^8 ]

E9.629 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T2 * T1^-2)^2, (T2^-2 * T1^-1)^2, (T2 * T1 * T2 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 10, 58, 5, 53)(2, 50, 7, 55, 19, 67, 8, 56)(4, 52, 12, 60, 25, 73, 13, 61)(6, 54, 16, 64, 28, 76, 17, 65)(9, 57, 23, 71, 15, 63, 24, 72)(11, 59, 26, 74, 14, 62, 27, 75)(18, 66, 29, 77, 22, 70, 30, 78)(20, 68, 31, 79, 21, 69, 32, 80)(33, 81, 41, 89, 36, 84, 42, 90)(34, 82, 43, 91, 35, 83, 44, 92)(37, 85, 45, 93, 40, 88, 46, 94)(38, 86, 47, 95, 39, 87, 48, 96)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 66)(8, 69)(9, 65)(10, 73)(11, 51)(12, 70)(13, 68)(14, 64)(15, 53)(16, 63)(17, 59)(18, 61)(19, 58)(20, 55)(21, 60)(22, 56)(23, 81)(24, 83)(25, 76)(26, 84)(27, 82)(28, 67)(29, 85)(30, 87)(31, 88)(32, 86)(33, 75)(34, 71)(35, 74)(36, 72)(37, 80)(38, 77)(39, 79)(40, 78)(41, 93)(42, 95)(43, 94)(44, 96)(45, 92)(46, 90)(47, 91)(48, 89)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.628
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.630 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y1^4, Y2^6, (Y2^-1 * Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 19, 67, 8, 56)(5, 53, 11, 59, 25, 73, 13, 61)(7, 55, 17, 65, 31, 79, 16, 64)(10, 58, 23, 71, 38, 86, 22, 70)(12, 60, 15, 63, 29, 77, 27, 75)(14, 62, 28, 76, 34, 82, 18, 66)(20, 68, 36, 84, 43, 91, 30, 78)(21, 69, 37, 85, 42, 90, 33, 81)(24, 72, 35, 83, 44, 92, 40, 88)(26, 74, 32, 80, 45, 93, 41, 89)(39, 87, 47, 95, 48, 96, 46, 94)(97, 145, 99, 147, 106, 154, 120, 168, 110, 158, 101, 149)(98, 146, 103, 151, 114, 162, 131, 179, 116, 164, 104, 152)(100, 148, 107, 155, 122, 170, 136, 184, 119, 167, 108, 156)(102, 150, 111, 159, 126, 174, 140, 188, 128, 176, 112, 160)(105, 153, 117, 165, 109, 157, 124, 172, 135, 183, 118, 166)(113, 161, 129, 177, 115, 163, 132, 180, 142, 190, 130, 178)(121, 169, 133, 181, 123, 171, 134, 182, 143, 191, 137, 185)(125, 173, 138, 186, 127, 175, 141, 189, 144, 192, 139, 187)
	L = (1, 99)(2, 103)(3, 106)(4, 107)(5, 97)(6, 111)(7, 114)(8, 98)(9, 117)(10, 120)(11, 122)(12, 100)(13, 124)(14, 101)(15, 126)(16, 102)(17, 129)(18, 131)(19, 132)(20, 104)(21, 109)(22, 105)(23, 108)(24, 110)(25, 133)(26, 136)(27, 134)(28, 135)(29, 138)(30, 140)(31, 141)(32, 112)(33, 115)(34, 113)(35, 116)(36, 142)(37, 123)(38, 143)(39, 118)(40, 119)(41, 121)(42, 127)(43, 125)(44, 128)(45, 144)(46, 130)(47, 137)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.631
Graph:: bipartite
	v = 20 e = 96 f = 60
	degree seq :: [ 8^12, 12^8 ]

E9.631 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y3^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 100, 148)(99, 147, 105, 153, 117, 165, 107, 155)(101, 149, 109, 157, 114, 162, 103, 151)(104, 152, 115, 163, 126, 174, 111, 159)(106, 154, 119, 167, 132, 180, 116, 164)(108, 156, 112, 160, 127, 175, 123, 171)(110, 158, 122, 170, 137, 185, 124, 172)(113, 161, 129, 177, 141, 189, 128, 176)(118, 166, 125, 173, 138, 186, 133, 181)(120, 168, 130, 178, 139, 187, 135, 183)(121, 169, 134, 182, 140, 188, 131, 179)(136, 184, 143, 191, 144, 192, 142, 190)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 111)(7, 113)(8, 98)(9, 100)(10, 120)(11, 121)(12, 122)(13, 124)(14, 101)(15, 125)(16, 102)(17, 130)(18, 131)(19, 132)(20, 104)(21, 133)(22, 105)(23, 107)(24, 110)(25, 109)(26, 135)(27, 134)(28, 136)(29, 139)(30, 140)(31, 141)(32, 112)(33, 114)(34, 116)(35, 115)(36, 142)(37, 143)(38, 117)(39, 118)(40, 119)(41, 123)(42, 126)(43, 128)(44, 127)(45, 144)(46, 129)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.630
Graph:: simple bipartite
	v = 60 e = 96 f = 20
	degree seq :: [ 2^48, 8^12 ]

E9.632 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T1 * T2 * T1 * T2^2 * T1^-1 * T2^-1, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-2, T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2, (T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 42, 21, 7)(4, 11, 30, 46, 34, 12)(8, 22, 29, 39, 16, 23)(10, 27, 32, 40, 47, 28)(13, 35, 45, 24, 18, 36)(14, 37, 33, 26, 20, 38)(19, 43, 48, 41, 31, 44)(49, 50, 52)(51, 56, 58)(53, 61, 62)(54, 64, 66)(55, 67, 68)(57, 72, 74)(59, 77, 79)(60, 80, 81)(63, 87, 88)(65, 89, 85)(69, 70, 83)(71, 91, 82)(73, 90, 94)(75, 84, 92)(76, 86, 78)(93, 96, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E9.633
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 48 f = 8
	degree seq :: [ 3^16, 6^8 ]

E9.633 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T1 * T2 * T1 * T2^2 * T1^-1 * T2^-1, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-2, T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2, (T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 9, 57, 25, 73, 15, 63, 5, 53)(2, 50, 6, 54, 17, 65, 42, 90, 21, 69, 7, 55)(4, 52, 11, 59, 30, 78, 46, 94, 34, 82, 12, 60)(8, 56, 22, 70, 29, 77, 39, 87, 16, 64, 23, 71)(10, 58, 27, 75, 32, 80, 40, 88, 47, 95, 28, 76)(13, 61, 35, 83, 45, 93, 24, 72, 18, 66, 36, 84)(14, 62, 37, 85, 33, 81, 26, 74, 20, 68, 38, 86)(19, 67, 43, 91, 48, 96, 41, 89, 31, 79, 44, 92)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 61)(6, 64)(7, 67)(8, 58)(9, 72)(10, 51)(11, 77)(12, 80)(13, 62)(14, 53)(15, 87)(16, 66)(17, 89)(18, 54)(19, 68)(20, 55)(21, 70)(22, 83)(23, 91)(24, 74)(25, 90)(26, 57)(27, 84)(28, 86)(29, 79)(30, 76)(31, 59)(32, 81)(33, 60)(34, 71)(35, 69)(36, 92)(37, 65)(38, 78)(39, 88)(40, 63)(41, 85)(42, 94)(43, 82)(44, 75)(45, 96)(46, 73)(47, 93)(48, 95)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.632
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 48 f = 24
	degree seq :: [ 12^8 ]

E9.634 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1 * Y2^-1 * R * Y2^-2 * R * Y2, Y1 * Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2, Y1 * Y2^-2 * Y3 * Y2^-1 * Y1^-1 * Y2, Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^2, Y1 * Y2 * Y3 * Y2^2 * Y1^-1 * Y2, Y1 * Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y2, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 16, 64, 18, 66)(7, 55, 19, 67, 20, 68)(9, 57, 24, 72, 26, 74)(11, 59, 29, 77, 31, 79)(12, 60, 32, 80, 33, 81)(15, 63, 39, 87, 40, 88)(17, 65, 41, 89, 37, 85)(21, 69, 22, 70, 35, 83)(23, 71, 43, 91, 34, 82)(25, 73, 42, 90, 46, 94)(27, 75, 36, 84, 44, 92)(28, 76, 38, 86, 30, 78)(45, 93, 48, 96, 47, 95)(97, 145, 99, 147, 105, 153, 121, 169, 111, 159, 101, 149)(98, 146, 102, 150, 113, 161, 138, 186, 117, 165, 103, 151)(100, 148, 107, 155, 126, 174, 142, 190, 130, 178, 108, 156)(104, 152, 118, 166, 125, 173, 135, 183, 112, 160, 119, 167)(106, 154, 123, 171, 128, 176, 136, 184, 143, 191, 124, 172)(109, 157, 131, 179, 141, 189, 120, 168, 114, 162, 132, 180)(110, 158, 133, 181, 129, 177, 122, 170, 116, 164, 134, 182)(115, 163, 139, 187, 144, 192, 137, 185, 127, 175, 140, 188)
	L = (1, 100)(2, 97)(3, 106)(4, 98)(5, 110)(6, 114)(7, 116)(8, 99)(9, 122)(10, 104)(11, 127)(12, 129)(13, 101)(14, 109)(15, 136)(16, 102)(17, 133)(18, 112)(19, 103)(20, 115)(21, 131)(22, 117)(23, 130)(24, 105)(25, 142)(26, 120)(27, 140)(28, 126)(29, 107)(30, 134)(31, 125)(32, 108)(33, 128)(34, 139)(35, 118)(36, 123)(37, 137)(38, 124)(39, 111)(40, 135)(41, 113)(42, 121)(43, 119)(44, 132)(45, 143)(46, 138)(47, 144)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.635
Graph:: bipartite
	v = 24 e = 96 f = 56
	degree seq :: [ 6^16, 12^8 ]

E9.635 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3, Y1^2 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1, Y1^2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, (Y3 * Y1^-1)^4 ]
Map:: polytopal
	R = (1, 49, 2, 50, 6, 54, 16, 64, 12, 60, 4, 52)(3, 51, 9, 57, 23, 71, 41, 89, 27, 75, 10, 58)(5, 53, 14, 62, 35, 83, 42, 90, 39, 87, 15, 63)(7, 55, 19, 67, 36, 84, 31, 79, 24, 72, 20, 68)(8, 56, 21, 69, 38, 86, 32, 80, 46, 94, 22, 70)(11, 59, 29, 77, 43, 91, 17, 65, 25, 73, 30, 78)(13, 61, 33, 81, 40, 88, 18, 66, 28, 76, 34, 82)(26, 74, 44, 92, 48, 96, 47, 95, 37, 85, 45, 93)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 101)(4, 107)(5, 97)(6, 113)(7, 104)(8, 98)(9, 120)(10, 122)(11, 109)(12, 127)(13, 100)(14, 132)(15, 134)(16, 137)(17, 114)(18, 102)(19, 125)(20, 140)(21, 126)(22, 130)(23, 143)(24, 121)(25, 105)(26, 124)(27, 115)(28, 106)(29, 123)(30, 141)(31, 128)(32, 108)(33, 119)(34, 131)(35, 118)(36, 133)(37, 110)(38, 136)(39, 116)(40, 111)(41, 138)(42, 112)(43, 144)(44, 135)(45, 117)(46, 139)(47, 129)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.634
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 2^48, 12^8 ]

E9.636 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2^2 * T1^-1 * T2, (T2^-1 * T1 * T2^-1 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 22, 12)(8, 20, 13, 21)(10, 23, 14, 24)(15, 29, 18, 30)(17, 31, 19, 32)(25, 35, 27, 37)(26, 39, 28, 40)(33, 43, 34, 44)(36, 45, 38, 46)(41, 47, 42, 48)(49, 50, 52)(51, 56, 58)(53, 61, 62)(54, 63, 65)(55, 66, 67)(57, 64, 70)(59, 73, 74)(60, 75, 76)(68, 81, 79)(69, 82, 80)(71, 83, 84)(72, 85, 86)(77, 89, 87)(78, 90, 88)(91, 95, 93)(92, 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) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E9.640
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 3^16, 4^12 ]

E9.637 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, (T2^-1 * T1^-1)^3, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2^5 * T1^-2 * T2, (T2^-3 * T1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 38, 18, 6, 17, 37, 36, 16, 5)(2, 7, 20, 41, 31, 13, 4, 12, 30, 48, 24, 8)(9, 22, 44, 35, 40, 29, 11, 23, 45, 34, 42, 25)(14, 32, 46, 26, 39, 19, 15, 33, 47, 28, 43, 21)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 66, 63)(55, 67, 60, 69)(56, 70, 61, 71)(58, 74, 85, 76)(64, 82, 86, 83)(68, 88, 78, 90)(72, 94, 79, 95)(73, 87, 77, 91)(75, 89, 84, 96)(80, 92, 81, 93)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E9.641
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 4^12, 12^4 ]

E9.638 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1 * T2 * T1^-5, T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2, (T2^-1 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 27)(12, 29, 31)(14, 34, 35)(15, 36, 38)(16, 40, 41)(19, 43, 33)(20, 32, 44)(21, 37, 23)(22, 45, 46)(28, 39, 47)(30, 42, 48)(49, 50, 54, 64, 87, 72, 91, 86, 94, 78, 60, 52)(51, 57, 71, 88, 93, 82, 81, 61, 80, 90, 66, 58)(53, 62, 77, 89, 68, 55, 67, 75, 95, 96, 85, 63)(56, 69, 59, 76, 83, 65, 84, 92, 73, 79, 74, 70)
	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) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E9.639
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 12
	degree seq :: [ 3^16, 12^4 ]

E9.639 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2^2 * T1^-1 * T2, (T2^-1 * T1 * T2^-1 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 5, 53)(2, 50, 6, 54, 16, 64, 7, 55)(4, 52, 11, 59, 22, 70, 12, 60)(8, 56, 20, 68, 13, 61, 21, 69)(10, 58, 23, 71, 14, 62, 24, 72)(15, 63, 29, 77, 18, 66, 30, 78)(17, 65, 31, 79, 19, 67, 32, 80)(25, 73, 35, 83, 27, 75, 37, 85)(26, 74, 39, 87, 28, 76, 40, 88)(33, 81, 43, 91, 34, 82, 44, 92)(36, 84, 45, 93, 38, 86, 46, 94)(41, 89, 47, 95, 42, 90, 48, 96)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 61)(6, 63)(7, 66)(8, 58)(9, 64)(10, 51)(11, 73)(12, 75)(13, 62)(14, 53)(15, 65)(16, 70)(17, 54)(18, 67)(19, 55)(20, 81)(21, 82)(22, 57)(23, 83)(24, 85)(25, 74)(26, 59)(27, 76)(28, 60)(29, 89)(30, 90)(31, 68)(32, 69)(33, 79)(34, 80)(35, 84)(36, 71)(37, 86)(38, 72)(39, 77)(40, 78)(41, 87)(42, 88)(43, 95)(44, 96)(45, 91)(46, 92)(47, 93)(48, 94)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.638
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 48 f = 20
	degree seq :: [ 8^12 ]

E9.640 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, (T2^-1 * T1^-1)^3, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2^5 * T1^-2 * T2, (T2^-3 * T1)^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 27, 75, 38, 86, 18, 66, 6, 54, 17, 65, 37, 85, 36, 84, 16, 64, 5, 53)(2, 50, 7, 55, 20, 68, 41, 89, 31, 79, 13, 61, 4, 52, 12, 60, 30, 78, 48, 96, 24, 72, 8, 56)(9, 57, 22, 70, 44, 92, 35, 83, 40, 88, 29, 77, 11, 59, 23, 71, 45, 93, 34, 82, 42, 90, 25, 73)(14, 62, 32, 80, 46, 94, 26, 74, 39, 87, 19, 67, 15, 63, 33, 81, 47, 95, 28, 76, 43, 91, 21, 69)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 67)(8, 70)(9, 65)(10, 74)(11, 51)(12, 69)(13, 71)(14, 66)(15, 53)(16, 82)(17, 59)(18, 63)(19, 60)(20, 88)(21, 55)(22, 61)(23, 56)(24, 94)(25, 87)(26, 85)(27, 89)(28, 58)(29, 91)(30, 90)(31, 95)(32, 92)(33, 93)(34, 86)(35, 64)(36, 96)(37, 76)(38, 83)(39, 77)(40, 78)(41, 84)(42, 68)(43, 73)(44, 81)(45, 80)(46, 79)(47, 72)(48, 75)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.636
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.641 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1 * T2 * T1^-5, T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 5, 53)(2, 50, 7, 55, 8, 56)(4, 52, 11, 59, 13, 61)(6, 54, 17, 65, 18, 66)(9, 57, 24, 72, 25, 73)(10, 58, 26, 74, 27, 75)(12, 60, 29, 77, 31, 79)(14, 62, 34, 82, 35, 83)(15, 63, 36, 84, 38, 86)(16, 64, 40, 88, 41, 89)(19, 67, 43, 91, 33, 81)(20, 68, 32, 80, 44, 92)(21, 69, 37, 85, 23, 71)(22, 70, 45, 93, 46, 94)(28, 76, 39, 87, 47, 95)(30, 78, 42, 90, 48, 96)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 64)(7, 67)(8, 69)(9, 71)(10, 51)(11, 76)(12, 52)(13, 80)(14, 77)(15, 53)(16, 87)(17, 84)(18, 58)(19, 75)(20, 55)(21, 59)(22, 56)(23, 88)(24, 91)(25, 79)(26, 70)(27, 95)(28, 83)(29, 89)(30, 60)(31, 74)(32, 90)(33, 61)(34, 81)(35, 65)(36, 92)(37, 63)(38, 94)(39, 72)(40, 93)(41, 68)(42, 66)(43, 86)(44, 73)(45, 82)(46, 78)(47, 96)(48, 85)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.637
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 6^16 ]

E9.642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, Y2 * Y1 * Y2^2 * Y1^-1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 16, 64, 22, 70)(11, 59, 25, 73, 26, 74)(12, 60, 27, 75, 28, 76)(20, 68, 33, 81, 31, 79)(21, 69, 34, 82, 32, 80)(23, 71, 35, 83, 36, 84)(24, 72, 37, 85, 38, 86)(29, 77, 41, 89, 39, 87)(30, 78, 42, 90, 40, 88)(43, 91, 47, 95, 45, 93)(44, 92, 48, 96, 46, 94)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 118, 166, 108, 156)(104, 152, 116, 164, 109, 157, 117, 165)(106, 154, 119, 167, 110, 158, 120, 168)(111, 159, 125, 173, 114, 162, 126, 174)(113, 161, 127, 175, 115, 163, 128, 176)(121, 169, 131, 179, 123, 171, 133, 181)(122, 170, 135, 183, 124, 172, 136, 184)(129, 177, 139, 187, 130, 178, 140, 188)(132, 180, 141, 189, 134, 182, 142, 190)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 97)(3, 106)(4, 98)(5, 110)(6, 113)(7, 115)(8, 99)(9, 118)(10, 104)(11, 122)(12, 124)(13, 101)(14, 109)(15, 102)(16, 105)(17, 111)(18, 103)(19, 114)(20, 127)(21, 128)(22, 112)(23, 132)(24, 134)(25, 107)(26, 121)(27, 108)(28, 123)(29, 135)(30, 136)(31, 129)(32, 130)(33, 116)(34, 117)(35, 119)(36, 131)(37, 120)(38, 133)(39, 137)(40, 138)(41, 125)(42, 126)(43, 141)(44, 142)(45, 143)(46, 144)(47, 139)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.645
Graph:: bipartite
	v = 28 e = 96 f = 52
	degree seq :: [ 6^16, 8^12 ]

E9.643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y1^-1 * Y2^-1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2^6 * Y1^2, (Y2^-3 * Y1^-1)^2, (Y1^-1, Y2^-1, Y1^-1), (Y2^2 * Y1^-1 * Y2)^2 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 26, 74, 37, 85, 28, 76)(16, 64, 34, 82, 38, 86, 35, 83)(20, 68, 40, 88, 30, 78, 42, 90)(24, 72, 46, 94, 31, 79, 47, 95)(25, 73, 39, 87, 29, 77, 43, 91)(27, 75, 41, 89, 36, 84, 48, 96)(32, 80, 44, 92, 33, 81, 45, 93)(97, 145, 99, 147, 106, 154, 123, 171, 134, 182, 114, 162, 102, 150, 113, 161, 133, 181, 132, 180, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 137, 185, 127, 175, 109, 157, 100, 148, 108, 156, 126, 174, 144, 192, 120, 168, 104, 152)(105, 153, 118, 166, 140, 188, 131, 179, 136, 184, 125, 173, 107, 155, 119, 167, 141, 189, 130, 178, 138, 186, 121, 169)(110, 158, 128, 176, 142, 190, 122, 170, 135, 183, 115, 163, 111, 159, 129, 177, 143, 191, 124, 172, 139, 187, 117, 165)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 116)(8, 98)(9, 118)(10, 123)(11, 119)(12, 126)(13, 100)(14, 128)(15, 129)(16, 101)(17, 133)(18, 102)(19, 111)(20, 137)(21, 110)(22, 140)(23, 141)(24, 104)(25, 105)(26, 135)(27, 134)(28, 139)(29, 107)(30, 144)(31, 109)(32, 142)(33, 143)(34, 138)(35, 136)(36, 112)(37, 132)(38, 114)(39, 115)(40, 125)(41, 127)(42, 121)(43, 117)(44, 131)(45, 130)(46, 122)(47, 124)(48, 120)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 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 E9.644
Graph:: bipartite
	v = 16 e = 96 f = 64
	degree seq :: [ 8^12, 24^4 ]

E9.644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2^-1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-2, Y3^3 * Y2 * Y3^-3 * Y2^-1, (Y3 * Y2^-1)^4, (Y3^-1, Y2^-1)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 100, 148)(99, 147, 104, 152, 106, 154)(101, 149, 109, 157, 110, 158)(102, 150, 112, 160, 114, 162)(103, 151, 115, 163, 116, 164)(105, 153, 120, 168, 122, 170)(107, 155, 125, 173, 127, 175)(108, 156, 128, 176, 129, 177)(111, 159, 133, 181, 113, 161)(117, 165, 118, 166, 126, 174)(119, 167, 137, 185, 136, 184)(121, 169, 135, 183, 143, 191)(123, 171, 131, 179, 138, 186)(124, 172, 139, 187, 130, 178)(132, 180, 144, 192, 142, 190)(134, 182, 140, 188, 141, 189)
	L = (1, 99)(2, 102)(3, 105)(4, 107)(5, 97)(6, 113)(7, 98)(8, 118)(9, 121)(10, 123)(11, 126)(12, 100)(13, 130)(14, 132)(15, 101)(16, 122)(17, 135)(18, 131)(19, 137)(20, 139)(21, 103)(22, 110)(23, 104)(24, 108)(25, 142)(26, 116)(27, 128)(28, 106)(29, 133)(30, 143)(31, 138)(32, 144)(33, 119)(34, 141)(35, 109)(36, 112)(37, 129)(38, 111)(39, 124)(40, 114)(41, 134)(42, 115)(43, 125)(44, 117)(45, 120)(46, 127)(47, 136)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.643
Graph:: simple bipartite
	v = 64 e = 96 f = 16
	degree seq :: [ 2^48, 6^16 ]

E9.645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-2)^2, (Y3 * Y2^-1)^3, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y3 * Y1 * Y3 * Y1^-5, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 39, 87, 24, 72, 43, 91, 38, 86, 46, 94, 30, 78, 12, 60, 4, 52)(3, 51, 9, 57, 23, 71, 40, 88, 45, 93, 34, 82, 33, 81, 13, 61, 32, 80, 42, 90, 18, 66, 10, 58)(5, 53, 14, 62, 29, 77, 41, 89, 20, 68, 7, 55, 19, 67, 27, 75, 47, 95, 48, 96, 37, 85, 15, 63)(8, 56, 21, 69, 11, 59, 28, 76, 35, 83, 17, 65, 36, 84, 44, 92, 25, 73, 31, 79, 26, 74, 22, 70)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 101)(4, 107)(5, 97)(6, 113)(7, 104)(8, 98)(9, 120)(10, 122)(11, 109)(12, 125)(13, 100)(14, 130)(15, 132)(16, 136)(17, 114)(18, 102)(19, 139)(20, 128)(21, 133)(22, 141)(23, 117)(24, 121)(25, 105)(26, 123)(27, 106)(28, 135)(29, 127)(30, 138)(31, 108)(32, 140)(33, 115)(34, 131)(35, 110)(36, 134)(37, 119)(38, 111)(39, 143)(40, 137)(41, 112)(42, 144)(43, 129)(44, 116)(45, 142)(46, 118)(47, 124)(48, 126)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.642
Graph:: simple bipartite
	v = 52 e = 96 f = 28
	degree seq :: [ 2^48, 24^4 ]

E9.646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^2, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 16, 64, 18, 66)(7, 55, 19, 67, 20, 68)(9, 57, 24, 72, 21, 69)(11, 59, 28, 76, 30, 78)(12, 60, 31, 79, 32, 80)(15, 63, 29, 77, 37, 85)(17, 65, 26, 74, 33, 81)(22, 70, 39, 87, 36, 84)(23, 71, 35, 83, 42, 90)(25, 73, 41, 89, 45, 93)(27, 75, 46, 94, 47, 95)(34, 82, 40, 88, 43, 91)(38, 86, 44, 92, 48, 96)(97, 145, 99, 147, 105, 153, 121, 169, 136, 184, 112, 160, 135, 183, 128, 176, 143, 191, 134, 182, 111, 159, 101, 149)(98, 146, 102, 150, 113, 161, 137, 185, 142, 190, 124, 172, 132, 180, 110, 158, 131, 179, 140, 188, 117, 165, 103, 151)(100, 148, 107, 155, 125, 173, 141, 189, 119, 167, 104, 152, 118, 166, 116, 164, 139, 187, 144, 192, 129, 177, 108, 156)(106, 154, 122, 170, 109, 157, 130, 178, 126, 174, 120, 168, 127, 175, 138, 186, 114, 162, 133, 181, 115, 163, 123, 171)
	L = (1, 100)(2, 97)(3, 106)(4, 98)(5, 110)(6, 114)(7, 116)(8, 99)(9, 117)(10, 104)(11, 126)(12, 128)(13, 101)(14, 109)(15, 133)(16, 102)(17, 129)(18, 112)(19, 103)(20, 115)(21, 120)(22, 132)(23, 138)(24, 105)(25, 141)(26, 113)(27, 143)(28, 107)(29, 111)(30, 124)(31, 108)(32, 127)(33, 122)(34, 139)(35, 119)(36, 135)(37, 125)(38, 144)(39, 118)(40, 130)(41, 121)(42, 131)(43, 136)(44, 134)(45, 137)(46, 123)(47, 142)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 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 E9.647
Graph:: bipartite
	v = 20 e = 96 f = 60
	degree seq :: [ 6^16, 24^4 ]

E9.647 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, (Y3 * Y1)^3, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3, (Y1^-1, Y3^-1, Y1^-1), Y3^6 * Y1^-2, (Y3^3 * Y1^-1)^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 26, 74, 37, 85, 28, 76)(16, 64, 34, 82, 38, 86, 35, 83)(20, 68, 40, 88, 30, 78, 42, 90)(24, 72, 46, 94, 31, 79, 47, 95)(25, 73, 39, 87, 29, 77, 43, 91)(27, 75, 41, 89, 36, 84, 48, 96)(32, 80, 44, 92, 33, 81, 45, 93)(97, 145)(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, 116)(8, 98)(9, 118)(10, 123)(11, 119)(12, 126)(13, 100)(14, 128)(15, 129)(16, 101)(17, 133)(18, 102)(19, 111)(20, 137)(21, 110)(22, 140)(23, 141)(24, 104)(25, 105)(26, 135)(27, 134)(28, 139)(29, 107)(30, 144)(31, 109)(32, 142)(33, 143)(34, 138)(35, 136)(36, 112)(37, 132)(38, 114)(39, 115)(40, 125)(41, 127)(42, 121)(43, 117)(44, 131)(45, 130)(46, 122)(47, 124)(48, 120)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.646
Graph:: simple bipartite
	v = 60 e = 96 f = 20
	degree seq :: [ 2^48, 8^12 ]

E9.648 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1 * T2 * T1^-2 * T2 * T1, (T1 * T2 * T1^-1 * T2)^2, T1^12, (T2 * T1^-3)^4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 44, 42, 34, 26, 17, 8)(6, 13, 21, 31, 38, 45, 43, 35, 27, 18, 9, 14)(15, 23, 32, 40, 46, 48, 47, 41, 33, 25, 16, 24)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 44)(39, 46)(42, 47)(45, 48)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.649 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^12, (T1 * T2^-3)^4 ]
Map::
	R = (1, 3, 8, 17, 26, 34, 42, 36, 28, 19, 10, 4)(2, 5, 12, 22, 30, 38, 45, 40, 32, 24, 14, 6)(7, 15, 25, 33, 41, 47, 43, 35, 27, 18, 9, 16)(11, 20, 29, 37, 44, 48, 46, 39, 31, 23, 13, 21)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 60)(58, 62)(63, 68)(64, 69)(65, 73)(66, 71)(67, 75)(70, 77)(72, 79)(74, 78)(76, 80)(81, 85)(82, 89)(83, 87)(84, 91)(86, 92)(88, 94)(90, 93)(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) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.650
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 2^24, 12^4 ]

E9.650 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^12, (T1 * T2^-3)^4 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 26, 74, 34, 82, 42, 90, 36, 84, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 30, 78, 38, 86, 45, 93, 40, 88, 32, 80, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 25, 73, 33, 81, 41, 89, 47, 95, 43, 91, 35, 83, 27, 75, 18, 66, 9, 57, 16, 64)(11, 59, 20, 68, 29, 77, 37, 85, 44, 92, 48, 96, 46, 94, 39, 87, 31, 79, 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, 68)(16, 69)(17, 73)(18, 71)(19, 75)(20, 63)(21, 64)(22, 77)(23, 66)(24, 79)(25, 65)(26, 78)(27, 67)(28, 80)(29, 70)(30, 74)(31, 72)(32, 76)(33, 85)(34, 89)(35, 87)(36, 91)(37, 81)(38, 92)(39, 83)(40, 94)(41, 82)(42, 93)(43, 84)(44, 86)(45, 90)(46, 88)(47, 96)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.649
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.651 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^12, (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, 12, 60)(10, 58, 14, 62)(15, 63, 20, 68)(16, 64, 21, 69)(17, 65, 25, 73)(18, 66, 23, 71)(19, 67, 27, 75)(22, 70, 29, 77)(24, 72, 31, 79)(26, 74, 30, 78)(28, 76, 32, 80)(33, 81, 37, 85)(34, 82, 41, 89)(35, 83, 39, 87)(36, 84, 43, 91)(38, 86, 44, 92)(40, 88, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 122, 170, 130, 178, 138, 186, 132, 180, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 126, 174, 134, 182, 141, 189, 136, 184, 128, 176, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 121, 169, 129, 177, 137, 185, 143, 191, 139, 187, 131, 179, 123, 171, 114, 162, 105, 153, 112, 160)(107, 155, 116, 164, 125, 173, 133, 181, 140, 188, 144, 192, 142, 190, 135, 183, 127, 175, 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, 116)(16, 117)(17, 121)(18, 119)(19, 123)(20, 111)(21, 112)(22, 125)(23, 114)(24, 127)(25, 113)(26, 126)(27, 115)(28, 128)(29, 118)(30, 122)(31, 120)(32, 124)(33, 133)(34, 137)(35, 135)(36, 139)(37, 129)(38, 140)(39, 131)(40, 142)(41, 130)(42, 141)(43, 132)(44, 134)(45, 138)(46, 136)(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, 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 E9.652
Graph:: bipartite
	v = 28 e = 96 f = 52
	degree seq :: [ 4^24, 24^4 ]

E9.652 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^12, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 49, 2, 50, 5, 53, 11, 59, 20, 68, 29, 77, 37, 85, 36, 84, 28, 76, 19, 67, 10, 58, 4, 52)(3, 51, 7, 55, 12, 60, 22, 70, 30, 78, 39, 87, 44, 92, 42, 90, 34, 82, 26, 74, 17, 65, 8, 56)(6, 54, 13, 61, 21, 69, 31, 79, 38, 86, 45, 93, 43, 91, 35, 83, 27, 75, 18, 66, 9, 57, 14, 62)(15, 63, 23, 71, 32, 80, 40, 88, 46, 94, 48, 96, 47, 95, 41, 89, 33, 81, 25, 73, 16, 64, 24, 72)(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, 111)(8, 112)(9, 100)(10, 113)(11, 117)(12, 101)(13, 119)(14, 120)(15, 103)(16, 104)(17, 106)(18, 121)(19, 123)(20, 126)(21, 107)(22, 128)(23, 109)(24, 110)(25, 114)(26, 129)(27, 115)(28, 130)(29, 134)(30, 116)(31, 136)(32, 118)(33, 122)(34, 124)(35, 137)(36, 139)(37, 140)(38, 125)(39, 142)(40, 127)(41, 131)(42, 143)(43, 132)(44, 133)(45, 144)(46, 135)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E9.651
Graph:: simple bipartite
	v = 52 e = 96 f = 28
	degree seq :: [ 2^48, 24^4 ]

E9.653 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2, T1 * T2 * T1 * T2 * T1^-2 * T2, T1^12, (T1^-1 * T2 * T1^-3)^3 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 31, 39, 38, 30, 22, 10, 4)(3, 7, 15, 24, 33, 42, 46, 43, 35, 27, 18, 8)(6, 13, 26, 32, 41, 48, 45, 37, 29, 21, 17, 14)(9, 19, 16, 12, 25, 34, 40, 47, 44, 36, 28, 20)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 15)(14, 19)(18, 20)(22, 27)(23, 32)(25, 26)(28, 29)(30, 36)(31, 40)(33, 34)(35, 37)(38, 45)(39, 46)(41, 42)(43, 44)(47, 48)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.654 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1^3 * T2 * T1^-3, (T2 * T1 * T2 * T1^-1)^2, T1 * T2 * T1 * T2 * T1 * T2 * T1^3, (T1^2 * T2)^3, T1^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 41, 47, 46, 40, 22, 10, 4)(3, 7, 15, 24, 37, 44, 48, 42, 28, 36, 18, 8)(6, 13, 27, 34, 17, 33, 45, 31, 39, 21, 30, 14)(9, 19, 26, 12, 25, 35, 43, 29, 16, 32, 38, 20)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 35)(19, 33)(20, 37)(22, 36)(23, 34)(25, 39)(26, 42)(27, 38)(30, 44)(32, 40)(41, 43)(45, 46)(47, 48)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 4 e = 24 f = 4
	degree seq :: [ 12^4 ]

E9.655 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T1 * T2 * T1 * T2 * T1 * T2^-2, T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^12, (T2^-1 * T1 * T2^-3)^3 ]
Map::
	R = (1, 3, 8, 18, 27, 35, 43, 38, 30, 22, 10, 4)(2, 5, 12, 23, 31, 39, 46, 40, 32, 24, 14, 6)(7, 15, 25, 33, 41, 47, 45, 37, 29, 21, 13, 16)(9, 19, 11, 17, 26, 34, 42, 48, 44, 36, 28, 20)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 65)(58, 69)(60, 63)(62, 68)(64, 67)(66, 71)(70, 72)(73, 74)(75, 81)(76, 77)(78, 84)(79, 82)(80, 85)(83, 90)(86, 93)(87, 89)(88, 92)(91, 94)(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) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.657
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 2^24, 12^4 ]

E9.656 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, (T2 * T1 * T2^-1 * T1)^2, T1 * T2^-4 * T1 * T2^-1 * T1 * T2^-1, (T1 * T2^2)^3, T2^12 ]
Map::
	R = (1, 3, 8, 18, 36, 45, 48, 46, 40, 22, 10, 4)(2, 5, 12, 26, 37, 44, 47, 43, 31, 30, 14, 6)(7, 15, 32, 28, 13, 27, 42, 25, 39, 21, 33, 16)(9, 19, 35, 17, 34, 29, 41, 24, 11, 23, 38, 20)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 65)(58, 69)(60, 73)(62, 77)(63, 79)(64, 72)(66, 74)(67, 75)(68, 85)(70, 78)(71, 88)(76, 84)(80, 86)(81, 92)(82, 87)(83, 91)(89, 93)(90, 94)(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) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E9.658
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 4
	degree seq :: [ 2^24, 12^4 ]

E9.657 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T1 * T2 * T1 * T2 * T1 * T2^-2, T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^12, (T2^-1 * T1 * T2^-3)^3 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 18, 66, 27, 75, 35, 83, 43, 91, 38, 86, 30, 78, 22, 70, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 23, 71, 31, 79, 39, 87, 46, 94, 40, 88, 32, 80, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 25, 73, 33, 81, 41, 89, 47, 95, 45, 93, 37, 85, 29, 77, 21, 69, 13, 61, 16, 64)(9, 57, 19, 67, 11, 59, 17, 65, 26, 74, 34, 82, 42, 90, 48, 96, 44, 92, 36, 84, 28, 76, 20, 68)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 52)(10, 69)(11, 53)(12, 63)(13, 54)(14, 68)(15, 60)(16, 67)(17, 56)(18, 71)(19, 64)(20, 62)(21, 58)(22, 72)(23, 66)(24, 70)(25, 74)(26, 73)(27, 81)(28, 77)(29, 76)(30, 84)(31, 82)(32, 85)(33, 75)(34, 79)(35, 90)(36, 78)(37, 80)(38, 93)(39, 89)(40, 92)(41, 87)(42, 83)(43, 94)(44, 88)(45, 86)(46, 91)(47, 96)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.655
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.658 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, (T2 * T1 * T2^-1 * T1)^2, T1 * T2^-4 * T1 * T2^-1 * T1 * T2^-1, (T1 * T2^2)^3, T2^12 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 18, 66, 36, 84, 45, 93, 48, 96, 46, 94, 40, 88, 22, 70, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 26, 74, 37, 85, 44, 92, 47, 95, 43, 91, 31, 79, 30, 78, 14, 62, 6, 54)(7, 55, 15, 63, 32, 80, 28, 76, 13, 61, 27, 75, 42, 90, 25, 73, 39, 87, 21, 69, 33, 81, 16, 64)(9, 57, 19, 67, 35, 83, 17, 65, 34, 82, 29, 77, 41, 89, 24, 72, 11, 59, 23, 71, 38, 86, 20, 68)
	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, 79)(16, 72)(17, 56)(18, 74)(19, 75)(20, 85)(21, 58)(22, 78)(23, 88)(24, 64)(25, 60)(26, 66)(27, 67)(28, 84)(29, 62)(30, 70)(31, 63)(32, 86)(33, 92)(34, 87)(35, 91)(36, 76)(37, 68)(38, 80)(39, 82)(40, 71)(41, 93)(42, 94)(43, 83)(44, 81)(45, 89)(46, 90)(47, 96)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.656
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 48 f = 28
	degree seq :: [ 24^4 ]

E9.659 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * R * Y2^-2 * R * Y2^-1, Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2, Y2^12, (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, 15, 63)(14, 62, 20, 68)(16, 64, 19, 67)(18, 66, 23, 71)(22, 70, 24, 72)(25, 73, 26, 74)(27, 75, 33, 81)(28, 76, 29, 77)(30, 78, 36, 84)(31, 79, 34, 82)(32, 80, 37, 85)(35, 83, 42, 90)(38, 86, 45, 93)(39, 87, 41, 89)(40, 88, 44, 92)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 114, 162, 123, 171, 131, 179, 139, 187, 134, 182, 126, 174, 118, 166, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 119, 167, 127, 175, 135, 183, 142, 190, 136, 184, 128, 176, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 121, 169, 129, 177, 137, 185, 143, 191, 141, 189, 133, 181, 125, 173, 117, 165, 109, 157, 112, 160)(105, 153, 115, 163, 107, 155, 113, 161, 122, 170, 130, 178, 138, 186, 144, 192, 140, 188, 132, 180, 124, 172, 116, 164)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 111)(13, 102)(14, 116)(15, 108)(16, 115)(17, 104)(18, 119)(19, 112)(20, 110)(21, 106)(22, 120)(23, 114)(24, 118)(25, 122)(26, 121)(27, 129)(28, 125)(29, 124)(30, 132)(31, 130)(32, 133)(33, 123)(34, 127)(35, 138)(36, 126)(37, 128)(38, 141)(39, 137)(40, 140)(41, 135)(42, 131)(43, 142)(44, 136)(45, 134)(46, 139)(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, 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 E9.661
Graph:: bipartite
	v = 28 e = 96 f = 52
	degree seq :: [ 4^24, 24^4 ]

E9.660 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (R * Y2^-2 * Y1)^2, Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y2^-1 * R * Y2^-2)^2, Y2^-3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y1 * Y2^2)^3, Y2^12, (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, 31, 79)(16, 64, 24, 72)(18, 66, 26, 74)(19, 67, 27, 75)(20, 68, 37, 85)(22, 70, 30, 78)(23, 71, 40, 88)(28, 76, 36, 84)(32, 80, 38, 86)(33, 81, 44, 92)(34, 82, 39, 87)(35, 83, 43, 91)(41, 89, 45, 93)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 114, 162, 132, 180, 141, 189, 144, 192, 142, 190, 136, 184, 118, 166, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 122, 170, 133, 181, 140, 188, 143, 191, 139, 187, 127, 175, 126, 174, 110, 158, 102, 150)(103, 151, 111, 159, 128, 176, 124, 172, 109, 157, 123, 171, 138, 186, 121, 169, 135, 183, 117, 165, 129, 177, 112, 160)(105, 153, 115, 163, 131, 179, 113, 161, 130, 178, 125, 173, 137, 185, 120, 168, 107, 155, 119, 167, 134, 182, 116, 164)
	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, 127)(16, 120)(17, 104)(18, 122)(19, 123)(20, 133)(21, 106)(22, 126)(23, 136)(24, 112)(25, 108)(26, 114)(27, 115)(28, 132)(29, 110)(30, 118)(31, 111)(32, 134)(33, 140)(34, 135)(35, 139)(36, 124)(37, 116)(38, 128)(39, 130)(40, 119)(41, 141)(42, 142)(43, 131)(44, 129)(45, 137)(46, 138)(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, 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 E9.662
Graph:: bipartite
	v = 28 e = 96 f = 52
	degree seq :: [ 4^24, 24^4 ]

E9.661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1^12, (Y1^-3 * Y3 * Y1^-1)^3 ]
Map::
	R = (1, 49, 2, 50, 5, 53, 11, 59, 23, 71, 31, 79, 39, 87, 38, 86, 30, 78, 22, 70, 10, 58, 4, 52)(3, 51, 7, 55, 15, 63, 24, 72, 33, 81, 42, 90, 46, 94, 43, 91, 35, 83, 27, 75, 18, 66, 8, 56)(6, 54, 13, 61, 26, 74, 32, 80, 41, 89, 48, 96, 45, 93, 37, 85, 29, 77, 21, 69, 17, 65, 14, 62)(9, 57, 19, 67, 16, 64, 12, 60, 25, 73, 34, 82, 40, 88, 47, 95, 44, 92, 36, 84, 28, 76, 20, 68)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 102)(3, 97)(4, 105)(5, 108)(6, 98)(7, 112)(8, 113)(9, 100)(10, 117)(11, 120)(12, 101)(13, 111)(14, 115)(15, 109)(16, 103)(17, 104)(18, 116)(19, 110)(20, 114)(21, 106)(22, 123)(23, 128)(24, 107)(25, 122)(26, 121)(27, 118)(28, 125)(29, 124)(30, 132)(31, 136)(32, 119)(33, 130)(34, 129)(35, 133)(36, 126)(37, 131)(38, 141)(39, 142)(40, 127)(41, 138)(42, 137)(43, 140)(44, 139)(45, 134)(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) :: { ( 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 E9.659
Graph:: simple bipartite
	v = 52 e = 96 f = 28
	degree seq :: [ 2^48, 24^4 ]

E9.662 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^3 * Y3 * Y1^-3, (Y1^-1 * Y3 * Y1 * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^4, (Y1^2 * Y3)^3, Y1^12 ]
Map::
	R = (1, 49, 2, 50, 5, 53, 11, 59, 23, 71, 41, 89, 47, 95, 46, 94, 40, 88, 22, 70, 10, 58, 4, 52)(3, 51, 7, 55, 15, 63, 24, 72, 37, 85, 44, 92, 48, 96, 42, 90, 28, 76, 36, 84, 18, 66, 8, 56)(6, 54, 13, 61, 27, 75, 34, 82, 17, 65, 33, 81, 45, 93, 31, 79, 39, 87, 21, 69, 30, 78, 14, 62)(9, 57, 19, 67, 26, 74, 12, 60, 25, 73, 35, 83, 43, 91, 29, 77, 16, 64, 32, 80, 38, 86, 20, 68)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 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, 127)(16, 103)(17, 104)(18, 131)(19, 129)(20, 133)(21, 106)(22, 132)(23, 130)(24, 107)(25, 135)(26, 138)(27, 134)(28, 109)(29, 110)(30, 140)(31, 111)(32, 136)(33, 115)(34, 119)(35, 114)(36, 118)(37, 116)(38, 123)(39, 121)(40, 128)(41, 139)(42, 122)(43, 137)(44, 126)(45, 142)(46, 141)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E9.660
Graph:: simple bipartite
	v = 52 e = 96 f = 28
	degree seq :: [ 2^48, 24^4 ]

E9.663 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 24})
Quotient :: regular
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-3 * T2 * T1^3, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2 * T1^-3)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 33, 17, 29, 44, 31, 45, 48, 47, 34, 46, 32, 16, 28, 43, 38, 22, 10, 4)(3, 7, 15, 24, 41, 36, 20, 9, 19, 26, 12, 25, 42, 37, 21, 30, 14, 6, 13, 27, 40, 35, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 34)(19, 32)(20, 33)(22, 35)(23, 40)(25, 43)(26, 44)(27, 45)(30, 46)(36, 47)(37, 39)(38, 41)(42, 48)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E9.664
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 24 f = 6
	degree seq :: [ 24^2 ]

E9.664 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 24})
Quotient :: regular
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^8, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, (T2 * T1^-1 * T2 * T1^-3)^6 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 12, 22, 31, 28, 17, 8)(6, 13, 21, 32, 30, 18, 9, 14)(15, 25, 33, 43, 40, 27, 16, 26)(23, 34, 42, 41, 29, 36, 24, 35)(37, 44, 48, 47, 39, 46, 38, 45)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 47)(43, 48)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E9.663
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 24 f = 2
	degree seq :: [ 8^6 ]

E9.665 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^24 ]
Map::
	R = (1, 3, 8, 17, 28, 19, 10, 4)(2, 5, 12, 22, 34, 24, 14, 6)(7, 15, 26, 39, 30, 18, 9, 16)(11, 20, 32, 44, 36, 23, 13, 21)(25, 37, 47, 41, 29, 40, 27, 38)(31, 42, 48, 46, 35, 45, 33, 43)(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, 79)(69, 81)(70, 80)(71, 83)(72, 84)(76, 82)(85, 90)(86, 91)(87, 95)(88, 93)(89, 94)(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) :: { ( 48, 48 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E9.669
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 48 f = 2
	degree seq :: [ 2^24, 8^6 ]

E9.666 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, T2^2 * T1^-1 * T2^-4 * T1^-1, T1^-1 * T2^2 * T1^-1 * T2 * T1^-2 * T2, T1^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 38, 18, 6, 17, 36, 47, 41, 30, 34, 21, 42, 48, 39, 20, 13, 28, 43, 33, 15, 5)(2, 7, 19, 40, 26, 35, 16, 14, 31, 46, 24, 11, 27, 37, 32, 45, 23, 9, 4, 12, 29, 44, 22, 8)(49, 50, 54, 64, 82, 75, 61, 52)(51, 57, 65, 56, 69, 83, 76, 59)(53, 62, 66, 85, 78, 60, 68, 55)(58, 72, 84, 71, 90, 70, 91, 74)(63, 80, 86, 77, 89, 67, 87, 79)(73, 88, 95, 94, 96, 93, 81, 92)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E9.670
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 48 f = 24
	degree seq :: [ 8^6, 24^2 ]

E9.667 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|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, T2 * T1^-1 * T2 * T1^-7 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 34)(19, 32)(20, 33)(22, 35)(23, 40)(25, 43)(26, 44)(27, 45)(30, 46)(36, 47)(37, 39)(38, 41)(42, 48)(49, 50, 53, 59, 71, 87, 81, 65, 77, 92, 79, 93, 96, 95, 82, 94, 80, 64, 76, 91, 86, 70, 58, 52)(51, 55, 63, 72, 89, 84, 68, 57, 67, 74, 60, 73, 90, 85, 69, 78, 62, 54, 61, 75, 88, 83, 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) :: { ( 16, 16 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E9.668
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 48 f = 6
	degree seq :: [ 2^24, 24^2 ]

E9.668 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^24 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 34, 82, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 26, 74, 39, 87, 30, 78, 18, 66, 9, 57, 16, 64)(11, 59, 20, 68, 32, 80, 44, 92, 36, 84, 23, 71, 13, 61, 21, 69)(25, 73, 37, 85, 47, 95, 41, 89, 29, 77, 40, 88, 27, 75, 38, 86)(31, 79, 42, 90, 48, 96, 46, 94, 35, 83, 45, 93, 33, 81, 43, 91)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 60)(9, 52)(10, 62)(11, 53)(12, 56)(13, 54)(14, 58)(15, 73)(16, 75)(17, 74)(18, 77)(19, 78)(20, 79)(21, 81)(22, 80)(23, 83)(24, 84)(25, 63)(26, 65)(27, 64)(28, 82)(29, 66)(30, 67)(31, 68)(32, 70)(33, 69)(34, 76)(35, 71)(36, 72)(37, 90)(38, 91)(39, 95)(40, 93)(41, 94)(42, 85)(43, 86)(44, 96)(45, 88)(46, 89)(47, 87)(48, 92)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.667
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 26
	degree seq :: [ 16^6 ]

E9.669 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, T2^2 * T1^-1 * T2^-4 * T1^-1, T1^-1 * T2^2 * T1^-1 * T2 * T1^-2 * T2, T1^8 ]
Map::
	R = (1, 49, 3, 51, 10, 58, 25, 73, 38, 86, 18, 66, 6, 54, 17, 65, 36, 84, 47, 95, 41, 89, 30, 78, 34, 82, 21, 69, 42, 90, 48, 96, 39, 87, 20, 68, 13, 61, 28, 76, 43, 91, 33, 81, 15, 63, 5, 53)(2, 50, 7, 55, 19, 67, 40, 88, 26, 74, 35, 83, 16, 64, 14, 62, 31, 79, 46, 94, 24, 72, 11, 59, 27, 75, 37, 85, 32, 80, 45, 93, 23, 71, 9, 57, 4, 52, 12, 60, 29, 77, 44, 92, 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, 80)(16, 82)(17, 56)(18, 85)(19, 87)(20, 55)(21, 83)(22, 91)(23, 90)(24, 84)(25, 88)(26, 58)(27, 61)(28, 59)(29, 89)(30, 60)(31, 63)(32, 86)(33, 92)(34, 75)(35, 76)(36, 71)(37, 78)(38, 77)(39, 79)(40, 95)(41, 67)(42, 70)(43, 74)(44, 73)(45, 81)(46, 96)(47, 94)(48, 93)
	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 E9.665
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 30
	degree seq :: [ 48^2 ]

E9.670 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|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, T2 * T1^-1 * T2 * T1^-7 ]
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, 31, 79)(18, 66, 34, 82)(19, 67, 32, 80)(20, 68, 33, 81)(22, 70, 35, 83)(23, 71, 40, 88)(25, 73, 43, 91)(26, 74, 44, 92)(27, 75, 45, 93)(30, 78, 46, 94)(36, 84, 47, 95)(37, 85, 39, 87)(38, 86, 41, 89)(42, 90, 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, 72)(16, 76)(17, 77)(18, 56)(19, 74)(20, 57)(21, 78)(22, 58)(23, 87)(24, 89)(25, 90)(26, 60)(27, 88)(28, 91)(29, 92)(30, 62)(31, 93)(32, 64)(33, 65)(34, 94)(35, 66)(36, 68)(37, 69)(38, 70)(39, 81)(40, 83)(41, 84)(42, 85)(43, 86)(44, 79)(45, 96)(46, 80)(47, 82)(48, 95)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.666
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 48 f = 8
	degree seq :: [ 4^24 ]

E9.671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^8, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (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, 31, 79)(21, 69, 33, 81)(22, 70, 32, 80)(23, 71, 35, 83)(24, 72, 36, 84)(28, 76, 34, 82)(37, 85, 42, 90)(38, 86, 43, 91)(39, 87, 47, 95)(40, 88, 45, 93)(41, 89, 46, 94)(44, 92, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 130, 178, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 122, 170, 135, 183, 126, 174, 114, 162, 105, 153, 112, 160)(107, 155, 116, 164, 128, 176, 140, 188, 132, 180, 119, 167, 109, 157, 117, 165)(121, 169, 133, 181, 143, 191, 137, 185, 125, 173, 136, 184, 123, 171, 134, 182)(127, 175, 138, 186, 144, 192, 142, 190, 131, 179, 141, 189, 129, 177, 139, 187)
	L = (1, 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, 127)(21, 129)(22, 128)(23, 131)(24, 132)(25, 111)(26, 113)(27, 112)(28, 130)(29, 114)(30, 115)(31, 116)(32, 118)(33, 117)(34, 124)(35, 119)(36, 120)(37, 138)(38, 139)(39, 143)(40, 141)(41, 142)(42, 133)(43, 134)(44, 144)(45, 136)(46, 137)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E9.674
Graph:: bipartite
	v = 30 e = 96 f = 50
	degree seq :: [ 4^24, 16^6 ]

E9.672 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-2 * Y2 * Y1^2 * Y2^-1, Y2^2 * Y1 * Y2^-3 * Y1^-1 * Y2, (Y2^3 * Y1^-1)^2, Y1^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 34, 82, 27, 75, 13, 61, 4, 52)(3, 51, 9, 57, 17, 65, 8, 56, 21, 69, 35, 83, 28, 76, 11, 59)(5, 53, 14, 62, 18, 66, 37, 85, 30, 78, 12, 60, 20, 68, 7, 55)(10, 58, 24, 72, 36, 84, 23, 71, 42, 90, 22, 70, 43, 91, 26, 74)(15, 63, 32, 80, 38, 86, 29, 77, 41, 89, 19, 67, 39, 87, 31, 79)(25, 73, 40, 88, 47, 95, 46, 94, 48, 96, 45, 93, 33, 81, 44, 92)(97, 145, 99, 147, 106, 154, 121, 169, 134, 182, 114, 162, 102, 150, 113, 161, 132, 180, 143, 191, 137, 185, 126, 174, 130, 178, 117, 165, 138, 186, 144, 192, 135, 183, 116, 164, 109, 157, 124, 172, 139, 187, 129, 177, 111, 159, 101, 149)(98, 146, 103, 151, 115, 163, 136, 184, 122, 170, 131, 179, 112, 160, 110, 158, 127, 175, 142, 190, 120, 168, 107, 155, 123, 171, 133, 181, 128, 176, 141, 189, 119, 167, 105, 153, 100, 148, 108, 156, 125, 173, 140, 188, 118, 166, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 115)(8, 98)(9, 100)(10, 121)(11, 123)(12, 125)(13, 124)(14, 127)(15, 101)(16, 110)(17, 132)(18, 102)(19, 136)(20, 109)(21, 138)(22, 104)(23, 105)(24, 107)(25, 134)(26, 131)(27, 133)(28, 139)(29, 140)(30, 130)(31, 142)(32, 141)(33, 111)(34, 117)(35, 112)(36, 143)(37, 128)(38, 114)(39, 116)(40, 122)(41, 126)(42, 144)(43, 129)(44, 118)(45, 119)(46, 120)(47, 137)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E9.673
Graph:: bipartite
	v = 8 e = 96 f = 72
	degree seq :: [ 16^6, 48^2 ]

E9.673 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3 * Y2 * Y3^3)^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, 122, 170)(115, 163, 120, 168)(116, 164, 124, 172)(118, 166, 126, 174)(127, 175, 137, 185)(128, 176, 136, 184)(129, 177, 135, 183)(130, 178, 138, 186)(131, 179, 142, 190)(132, 180, 141, 189)(133, 181, 140, 188)(134, 182, 139, 187)(143, 191, 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, 127)(16, 103)(17, 129)(18, 131)(19, 130)(20, 105)(21, 128)(22, 106)(23, 135)(24, 107)(25, 137)(26, 139)(27, 138)(28, 109)(29, 136)(30, 110)(31, 142)(32, 112)(33, 143)(34, 113)(35, 140)(36, 116)(37, 117)(38, 118)(39, 134)(40, 120)(41, 144)(42, 121)(43, 132)(44, 124)(45, 125)(46, 126)(47, 133)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 48 ), ( 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E9.672
Graph:: simple bipartite
	v = 72 e = 96 f = 8
	degree seq :: [ 2^48, 4^24 ]

E9.674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-3 * Y3 * Y1^3, Y3 * Y1^-1 * Y3 * Y1^-7 ]
Map::
	R = (1, 49, 2, 50, 5, 53, 11, 59, 23, 71, 39, 87, 33, 81, 17, 65, 29, 77, 44, 92, 31, 79, 45, 93, 48, 96, 47, 95, 34, 82, 46, 94, 32, 80, 16, 64, 28, 76, 43, 91, 38, 86, 22, 70, 10, 58, 4, 52)(3, 51, 7, 55, 15, 63, 24, 72, 41, 89, 36, 84, 20, 68, 9, 57, 19, 67, 26, 74, 12, 60, 25, 73, 42, 90, 37, 85, 21, 69, 30, 78, 14, 62, 6, 54, 13, 61, 27, 75, 40, 88, 35, 83, 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, 127)(16, 103)(17, 104)(18, 130)(19, 128)(20, 129)(21, 106)(22, 131)(23, 136)(24, 107)(25, 139)(26, 140)(27, 141)(28, 109)(29, 110)(30, 142)(31, 111)(32, 115)(33, 116)(34, 114)(35, 118)(36, 143)(37, 135)(38, 137)(39, 133)(40, 119)(41, 134)(42, 144)(43, 121)(44, 122)(45, 123)(46, 126)(47, 132)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.671
Graph:: simple bipartite
	v = 50 e = 96 f = 30
	degree seq :: [ 2^48, 48^2 ]

E9.675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-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, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^7 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 17, 65)(10, 58, 21, 69)(12, 60, 25, 73)(14, 62, 29, 77)(15, 63, 23, 71)(16, 64, 27, 75)(18, 66, 26, 74)(19, 67, 24, 72)(20, 68, 28, 76)(22, 70, 30, 78)(31, 79, 41, 89)(32, 80, 40, 88)(33, 81, 39, 87)(34, 82, 42, 90)(35, 83, 46, 94)(36, 84, 45, 93)(37, 85, 44, 92)(38, 86, 43, 91)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 114, 162, 131, 179, 140, 188, 124, 172, 109, 157, 123, 171, 138, 186, 121, 169, 137, 185, 144, 192, 141, 189, 125, 173, 136, 184, 120, 168, 107, 155, 119, 167, 135, 183, 134, 182, 118, 166, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 122, 170, 139, 187, 132, 180, 116, 164, 105, 153, 115, 163, 130, 178, 113, 161, 129, 177, 143, 191, 133, 181, 117, 165, 128, 176, 112, 160, 103, 151, 111, 159, 127, 175, 142, 190, 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, 122)(19, 120)(20, 124)(21, 106)(22, 126)(23, 111)(24, 115)(25, 108)(26, 114)(27, 112)(28, 116)(29, 110)(30, 118)(31, 137)(32, 136)(33, 135)(34, 138)(35, 142)(36, 141)(37, 140)(38, 139)(39, 129)(40, 128)(41, 127)(42, 130)(43, 134)(44, 133)(45, 132)(46, 131)(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, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E9.676
Graph:: bipartite
	v = 26 e = 96 f = 54
	degree seq :: [ 4^24, 48^2 ]

E9.676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^2 * Y1^-1 * Y3^-4 * Y1^-1, Y1^-1 * Y3^2 * Y1^-3 * Y3^2, Y1^8, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 34, 82, 27, 75, 13, 61, 4, 52)(3, 51, 9, 57, 17, 65, 8, 56, 21, 69, 35, 83, 28, 76, 11, 59)(5, 53, 14, 62, 18, 66, 37, 85, 30, 78, 12, 60, 20, 68, 7, 55)(10, 58, 24, 72, 36, 84, 23, 71, 42, 90, 22, 70, 43, 91, 26, 74)(15, 63, 32, 80, 38, 86, 29, 77, 41, 89, 19, 67, 39, 87, 31, 79)(25, 73, 40, 88, 47, 95, 46, 94, 48, 96, 45, 93, 33, 81, 44, 92)(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, 121)(11, 123)(12, 125)(13, 124)(14, 127)(15, 101)(16, 110)(17, 132)(18, 102)(19, 136)(20, 109)(21, 138)(22, 104)(23, 105)(24, 107)(25, 134)(26, 131)(27, 133)(28, 139)(29, 140)(30, 130)(31, 142)(32, 141)(33, 111)(34, 117)(35, 112)(36, 143)(37, 128)(38, 114)(39, 116)(40, 122)(41, 126)(42, 144)(43, 129)(44, 118)(45, 119)(46, 120)(47, 137)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E9.675
Graph:: simple bipartite
	v = 54 e = 96 f = 26
	degree seq :: [ 2^48, 16^6 ]

E9.677 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 24})
Quotient :: regular
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1^5 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 16, 28, 39, 46, 43, 31, 41, 47, 45, 33, 42, 48, 44, 32, 17, 29, 22, 10, 4)(3, 7, 15, 30, 14, 6, 13, 27, 40, 26, 12, 25, 38, 36, 21, 24, 37, 35, 20, 9, 19, 34, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 33)(19, 23)(20, 32)(22, 26)(25, 39)(27, 41)(30, 42)(34, 43)(35, 45)(36, 44)(37, 46)(38, 47)(40, 48)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E9.678
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 24 f = 6
	degree seq :: [ 24^2 ]

E9.678 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 24})
Quotient :: regular
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^8, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 12, 22, 31, 28, 17, 8)(6, 13, 21, 32, 30, 18, 9, 14)(15, 25, 33, 43, 40, 27, 16, 26)(23, 34, 42, 41, 29, 36, 24, 35)(37, 46, 48, 45, 39, 44, 38, 47)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 47)(43, 48)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E9.677
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 24 f = 2
	degree seq :: [ 8^6 ]

E9.679 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = C24 : C2 (small group id <48, 5>)
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, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 ]
Map::
	R = (1, 3, 8, 17, 28, 19, 10, 4)(2, 5, 12, 22, 34, 24, 14, 6)(7, 15, 26, 39, 30, 18, 9, 16)(11, 20, 32, 44, 36, 23, 13, 21)(25, 37, 47, 41, 29, 40, 27, 38)(31, 42, 48, 46, 35, 45, 33, 43)(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, 79)(69, 81)(70, 80)(71, 83)(72, 84)(76, 82)(85, 93)(86, 94)(87, 95)(88, 90)(89, 91)(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) :: { ( 48, 48 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E9.683
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 48 f = 2
	degree seq :: [ 2^24, 8^6 ]

E9.680 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, T2 * T1^-1 * T2^2 * T1^-3 * T2, T2^-5 * T1^-2 * T2^-1, T1^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 39, 20, 13, 28, 43, 48, 41, 30, 34, 21, 42, 47, 38, 18, 6, 17, 36, 33, 15, 5)(2, 7, 19, 40, 23, 9, 4, 12, 29, 45, 24, 11, 27, 37, 32, 46, 26, 35, 16, 14, 31, 44, 22, 8)(49, 50, 54, 64, 82, 75, 61, 52)(51, 57, 65, 56, 69, 83, 76, 59)(53, 62, 66, 85, 78, 60, 68, 55)(58, 72, 84, 71, 90, 70, 91, 74)(63, 80, 86, 77, 89, 67, 87, 79)(73, 94, 81, 93, 95, 88, 96, 92)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E9.684
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 48 f = 24
	degree seq :: [ 8^6, 24^2 ]

E9.681 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^5 * T2 * T1^-1, T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 33)(19, 23)(20, 32)(22, 26)(25, 39)(27, 41)(30, 42)(34, 43)(35, 45)(36, 44)(37, 46)(38, 47)(40, 48)(49, 50, 53, 59, 71, 64, 76, 87, 94, 91, 79, 89, 95, 93, 81, 90, 96, 92, 80, 65, 77, 70, 58, 52)(51, 55, 63, 78, 62, 54, 61, 75, 88, 74, 60, 73, 86, 84, 69, 72, 85, 83, 68, 57, 67, 82, 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) :: { ( 16, 16 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E9.682
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 48 f = 6
	degree seq :: [ 2^24, 24^2 ]

E9.682 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = C24 : C2 (small group id <48, 5>)
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, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 34, 82, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 26, 74, 39, 87, 30, 78, 18, 66, 9, 57, 16, 64)(11, 59, 20, 68, 32, 80, 44, 92, 36, 84, 23, 71, 13, 61, 21, 69)(25, 73, 37, 85, 47, 95, 41, 89, 29, 77, 40, 88, 27, 75, 38, 86)(31, 79, 42, 90, 48, 96, 46, 94, 35, 83, 45, 93, 33, 81, 43, 91)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 60)(9, 52)(10, 62)(11, 53)(12, 56)(13, 54)(14, 58)(15, 73)(16, 75)(17, 74)(18, 77)(19, 78)(20, 79)(21, 81)(22, 80)(23, 83)(24, 84)(25, 63)(26, 65)(27, 64)(28, 82)(29, 66)(30, 67)(31, 68)(32, 70)(33, 69)(34, 76)(35, 71)(36, 72)(37, 93)(38, 94)(39, 95)(40, 90)(41, 91)(42, 88)(43, 89)(44, 96)(45, 85)(46, 86)(47, 87)(48, 92)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.681
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 26
	degree seq :: [ 16^6 ]

E9.683 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, T2 * T1^-1 * T2^2 * T1^-3 * T2, T2^-5 * T1^-2 * T2^-1, T1^8 ]
Map::
	R = (1, 49, 3, 51, 10, 58, 25, 73, 39, 87, 20, 68, 13, 61, 28, 76, 43, 91, 48, 96, 41, 89, 30, 78, 34, 82, 21, 69, 42, 90, 47, 95, 38, 86, 18, 66, 6, 54, 17, 65, 36, 84, 33, 81, 15, 63, 5, 53)(2, 50, 7, 55, 19, 67, 40, 88, 23, 71, 9, 57, 4, 52, 12, 60, 29, 77, 45, 93, 24, 72, 11, 59, 27, 75, 37, 85, 32, 80, 46, 94, 26, 74, 35, 83, 16, 64, 14, 62, 31, 79, 44, 92, 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, 80)(16, 82)(17, 56)(18, 85)(19, 87)(20, 55)(21, 83)(22, 91)(23, 90)(24, 84)(25, 94)(26, 58)(27, 61)(28, 59)(29, 89)(30, 60)(31, 63)(32, 86)(33, 93)(34, 75)(35, 76)(36, 71)(37, 78)(38, 77)(39, 79)(40, 96)(41, 67)(42, 70)(43, 74)(44, 73)(45, 95)(46, 81)(47, 88)(48, 92)
	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 E9.679
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 30
	degree seq :: [ 48^2 ]

E9.684 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^5 * T2 * T1^-1, T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 ]
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, 31, 79)(18, 66, 33, 81)(19, 67, 23, 71)(20, 68, 32, 80)(22, 70, 26, 74)(25, 73, 39, 87)(27, 75, 41, 89)(30, 78, 42, 90)(34, 82, 43, 91)(35, 83, 45, 93)(36, 84, 44, 92)(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, 78)(16, 76)(17, 77)(18, 56)(19, 82)(20, 57)(21, 72)(22, 58)(23, 64)(24, 85)(25, 86)(26, 60)(27, 88)(28, 87)(29, 70)(30, 62)(31, 89)(32, 65)(33, 90)(34, 66)(35, 68)(36, 69)(37, 83)(38, 84)(39, 94)(40, 74)(41, 95)(42, 96)(43, 79)(44, 80)(45, 81)(46, 91)(47, 93)(48, 92)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.680
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 48 f = 8
	degree seq :: [ 4^24 ]

E9.685 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^8, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (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, 31, 79)(21, 69, 33, 81)(22, 70, 32, 80)(23, 71, 35, 83)(24, 72, 36, 84)(28, 76, 34, 82)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 42, 90)(41, 89, 43, 91)(44, 92, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 130, 178, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 122, 170, 135, 183, 126, 174, 114, 162, 105, 153, 112, 160)(107, 155, 116, 164, 128, 176, 140, 188, 132, 180, 119, 167, 109, 157, 117, 165)(121, 169, 133, 181, 143, 191, 137, 185, 125, 173, 136, 184, 123, 171, 134, 182)(127, 175, 138, 186, 144, 192, 142, 190, 131, 179, 141, 189, 129, 177, 139, 187)
	L = (1, 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, 127)(21, 129)(22, 128)(23, 131)(24, 132)(25, 111)(26, 113)(27, 112)(28, 130)(29, 114)(30, 115)(31, 116)(32, 118)(33, 117)(34, 124)(35, 119)(36, 120)(37, 141)(38, 142)(39, 143)(40, 138)(41, 139)(42, 136)(43, 137)(44, 144)(45, 133)(46, 134)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E9.688
Graph:: bipartite
	v = 30 e = 96 f = 50
	degree seq :: [ 4^24, 16^6 ]

E9.686 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y2 * Y1^2 * Y2^-1, Y2^-5 * Y1^-2 * Y2^-1, Y2 * Y1^-1 * Y2^2 * Y1^-3 * Y2, Y1^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 34, 82, 27, 75, 13, 61, 4, 52)(3, 51, 9, 57, 17, 65, 8, 56, 21, 69, 35, 83, 28, 76, 11, 59)(5, 53, 14, 62, 18, 66, 37, 85, 30, 78, 12, 60, 20, 68, 7, 55)(10, 58, 24, 72, 36, 84, 23, 71, 42, 90, 22, 70, 43, 91, 26, 74)(15, 63, 32, 80, 38, 86, 29, 77, 41, 89, 19, 67, 39, 87, 31, 79)(25, 73, 46, 94, 33, 81, 45, 93, 47, 95, 40, 88, 48, 96, 44, 92)(97, 145, 99, 147, 106, 154, 121, 169, 135, 183, 116, 164, 109, 157, 124, 172, 139, 187, 144, 192, 137, 185, 126, 174, 130, 178, 117, 165, 138, 186, 143, 191, 134, 182, 114, 162, 102, 150, 113, 161, 132, 180, 129, 177, 111, 159, 101, 149)(98, 146, 103, 151, 115, 163, 136, 184, 119, 167, 105, 153, 100, 148, 108, 156, 125, 173, 141, 189, 120, 168, 107, 155, 123, 171, 133, 181, 128, 176, 142, 190, 122, 170, 131, 179, 112, 160, 110, 158, 127, 175, 140, 188, 118, 166, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 115)(8, 98)(9, 100)(10, 121)(11, 123)(12, 125)(13, 124)(14, 127)(15, 101)(16, 110)(17, 132)(18, 102)(19, 136)(20, 109)(21, 138)(22, 104)(23, 105)(24, 107)(25, 135)(26, 131)(27, 133)(28, 139)(29, 141)(30, 130)(31, 140)(32, 142)(33, 111)(34, 117)(35, 112)(36, 129)(37, 128)(38, 114)(39, 116)(40, 119)(41, 126)(42, 143)(43, 144)(44, 118)(45, 120)(46, 122)(47, 134)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E9.687
Graph:: bipartite
	v = 8 e = 96 f = 72
	degree seq :: [ 16^6, 48^2 ]

E9.687 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
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^-1 * Y2, (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, 129, 177)(122, 170, 136, 184)(126, 174, 135, 183)(127, 175, 134, 182)(128, 176, 133, 181)(131, 179, 138, 186)(132, 180, 137, 185)(139, 187, 144, 192)(140, 188, 143, 191)(141, 189, 142, 190)
	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, 127)(16, 103)(17, 128)(18, 120)(19, 126)(20, 105)(21, 130)(22, 106)(23, 133)(24, 107)(25, 134)(26, 112)(27, 118)(28, 109)(29, 136)(30, 110)(31, 139)(32, 140)(33, 113)(34, 141)(35, 116)(36, 117)(37, 142)(38, 143)(39, 121)(40, 144)(41, 124)(42, 125)(43, 129)(44, 132)(45, 131)(46, 135)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 48 ), ( 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E9.686
Graph:: simple bipartite
	v = 72 e = 96 f = 8
	degree seq :: [ 2^48, 4^24 ]

E9.688 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
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, Y1^4 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-1 ]
Map::
	R = (1, 49, 2, 50, 5, 53, 11, 59, 23, 71, 16, 64, 28, 76, 39, 87, 46, 94, 43, 91, 31, 79, 41, 89, 47, 95, 45, 93, 33, 81, 42, 90, 48, 96, 44, 92, 32, 80, 17, 65, 29, 77, 22, 70, 10, 58, 4, 52)(3, 51, 7, 55, 15, 63, 30, 78, 14, 62, 6, 54, 13, 61, 27, 75, 40, 88, 26, 74, 12, 60, 25, 73, 38, 86, 36, 84, 21, 69, 24, 72, 37, 85, 35, 83, 20, 68, 9, 57, 19, 67, 34, 82, 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, 127)(16, 103)(17, 104)(18, 129)(19, 119)(20, 128)(21, 106)(22, 122)(23, 115)(24, 107)(25, 135)(26, 118)(27, 137)(28, 109)(29, 110)(30, 138)(31, 111)(32, 116)(33, 114)(34, 139)(35, 141)(36, 140)(37, 142)(38, 143)(39, 121)(40, 144)(41, 123)(42, 126)(43, 130)(44, 132)(45, 131)(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, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.685
Graph:: simple bipartite
	v = 50 e = 96 f = 30
	degree seq :: [ 2^48, 48^2 ]

E9.689 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * R)^2, Y2^-5 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 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, 33, 81)(26, 74, 40, 88)(30, 78, 39, 87)(31, 79, 38, 86)(32, 80, 37, 85)(35, 83, 42, 90)(36, 84, 41, 89)(43, 91, 48, 96)(44, 92, 47, 95)(45, 93, 46, 94)(97, 145, 99, 147, 104, 152, 114, 162, 120, 168, 107, 155, 119, 167, 133, 181, 142, 190, 135, 183, 121, 169, 134, 182, 143, 191, 138, 186, 125, 173, 136, 184, 144, 192, 137, 185, 124, 172, 109, 157, 123, 171, 118, 166, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 122, 170, 112, 160, 103, 151, 111, 159, 127, 175, 139, 187, 129, 177, 113, 161, 128, 176, 140, 188, 132, 180, 117, 165, 130, 178, 141, 189, 131, 179, 116, 164, 105, 153, 115, 163, 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, 129)(23, 111)(24, 115)(25, 108)(26, 136)(27, 112)(28, 116)(29, 110)(30, 135)(31, 134)(32, 133)(33, 118)(34, 114)(35, 138)(36, 137)(37, 128)(38, 127)(39, 126)(40, 122)(41, 132)(42, 131)(43, 144)(44, 143)(45, 142)(46, 141)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E9.690
Graph:: bipartite
	v = 26 e = 96 f = 54
	degree seq :: [ 4^24, 48^2 ]

E9.690 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1^3, (R * Y2 * Y3^-1)^2, Y1 * Y3^-5 * Y1^-1 * Y3, (Y3 * Y1^-3)^2, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 34, 82, 27, 75, 13, 61, 4, 52)(3, 51, 9, 57, 17, 65, 8, 56, 21, 69, 35, 83, 28, 76, 11, 59)(5, 53, 14, 62, 18, 66, 37, 85, 30, 78, 12, 60, 20, 68, 7, 55)(10, 58, 24, 72, 36, 84, 23, 71, 42, 90, 22, 70, 43, 91, 26, 74)(15, 63, 32, 80, 38, 86, 29, 77, 41, 89, 19, 67, 39, 87, 31, 79)(25, 73, 46, 94, 33, 81, 45, 93, 47, 95, 40, 88, 48, 96, 44, 92)(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, 121)(11, 123)(12, 125)(13, 124)(14, 127)(15, 101)(16, 110)(17, 132)(18, 102)(19, 136)(20, 109)(21, 138)(22, 104)(23, 105)(24, 107)(25, 135)(26, 131)(27, 133)(28, 139)(29, 141)(30, 130)(31, 140)(32, 142)(33, 111)(34, 117)(35, 112)(36, 129)(37, 128)(38, 114)(39, 116)(40, 119)(41, 126)(42, 143)(43, 144)(44, 118)(45, 120)(46, 122)(47, 134)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E9.689
Graph:: simple bipartite
	v = 54 e = 96 f = 26
	degree seq :: [ 2^48, 16^6 ]

E9.691 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 19})
Quotient :: edge
Aut^+ = C19 : C3 (small group id <57, 1>)
Aut   = C19 : C3 (small group id <57, 1>)
|r| :: 1
Presentation :: [ X1^3, (X1^-1 * X2^-1)^3, (X2 * X1^-1)^3, (X2^-1 * X1^-1)^3, X2^-2 * X1^-1 * X2^3 * X1, X2^19 ]
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, 25)(21, 44, 37)(23, 47, 43)(27, 50, 48)(29, 52, 40)(32, 54, 45)(33, 55, 41)(34, 51, 56)(38, 49, 46)(42, 57, 53)(58, 60, 66, 82, 106, 111, 108, 85, 77, 100, 98, 75, 88, 107, 109, 114, 94, 72, 62)(59, 63, 74, 97, 113, 92, 80, 65, 79, 103, 110, 87, 70, 90, 81, 105, 102, 78, 64)(61, 68, 86, 83, 104, 101, 95, 73, 71, 91, 84, 67, 76, 99, 96, 112, 93, 89, 69)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 6^3 ), ( 6^19 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 57 f = 19
	degree seq :: [ 3^19, 19^3 ]

E9.692 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 19})
Quotient :: loop
Aut^+ = C19 : C3 (small group id <57, 1>)
Aut   = C19 : C3 (small group id <57, 1>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X2 * X1^-1)^3, X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-1 * X1, X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 58, 2, 59, 4, 61)(3, 60, 8, 65, 9, 66)(5, 62, 12, 69, 13, 70)(6, 63, 14, 71, 15, 72)(7, 64, 16, 73, 17, 74)(10, 67, 21, 78, 22, 79)(11, 68, 23, 80, 24, 81)(18, 75, 33, 90, 34, 91)(19, 76, 26, 83, 35, 92)(20, 77, 36, 93, 37, 94)(25, 82, 42, 99, 43, 100)(27, 84, 44, 101, 45, 102)(28, 85, 46, 103, 47, 104)(29, 86, 31, 88, 48, 105)(30, 87, 49, 106, 50, 107)(32, 89, 51, 108, 52, 109)(38, 95, 53, 110, 56, 113)(39, 96, 40, 97, 55, 112)(41, 98, 54, 111, 57, 114)
	L = (1, 60)(2, 63)(3, 62)(4, 67)(5, 58)(6, 64)(7, 59)(8, 75)(9, 73)(10, 68)(11, 61)(12, 82)(13, 83)(14, 85)(15, 80)(16, 77)(17, 88)(18, 76)(19, 65)(20, 66)(21, 95)(22, 69)(23, 87)(24, 97)(25, 79)(26, 84)(27, 70)(28, 86)(29, 71)(30, 72)(31, 89)(32, 74)(33, 104)(34, 93)(35, 107)(36, 110)(37, 108)(38, 96)(39, 78)(40, 98)(41, 81)(42, 103)(43, 101)(44, 105)(45, 114)(46, 113)(47, 106)(48, 100)(49, 90)(50, 111)(51, 112)(52, 102)(53, 91)(54, 92)(55, 94)(56, 99)(57, 109)
	local type(s) :: { ( 3, 19, 3, 19, 3, 19 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 19 e = 57 f = 22
	degree seq :: [ 6^19 ]

E9.693 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 19})
Quotient :: loop
Aut^+ = C19 : C3 (small group id <57, 1>)
Aut   = (C19 : C3) : C2 (small group id <114, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T2 * T1^-1)^3, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 16, 20)(12, 25, 22)(13, 26, 27)(14, 28, 29)(15, 23, 30)(17, 31, 32)(21, 38, 39)(24, 40, 41)(33, 47, 49)(34, 36, 53)(35, 50, 54)(37, 51, 55)(42, 46, 56)(43, 44, 48)(45, 57, 52)(58, 59, 61)(60, 65, 66)(62, 69, 70)(63, 71, 72)(64, 73, 74)(67, 78, 79)(68, 80, 81)(75, 90, 91)(76, 83, 92)(77, 93, 94)(82, 99, 100)(84, 101, 102)(85, 103, 104)(86, 88, 105)(87, 106, 107)(89, 108, 109)(95, 110, 113)(96, 97, 112)(98, 111, 114)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 38^3 ) }
Outer automorphisms :: reflexible
Dual of E9.694
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 38 e = 57 f = 3
	degree seq :: [ 3^38 ]

E9.694 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 19})
Quotient :: edge
Aut^+ = C19 : C3 (small group id <57, 1>)
Aut   = (C19 : C3) : C2 (small group id <114, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T1^-1 * T2^-1)^3, (T2 * T1^-1)^3, (T2^-1 * T1^-1)^3, T2^-2 * T1^-1 * T2^3 * T1, T2^19 ]
Map:: polytopal non-degenerate
	R = (1, 58, 3, 60, 9, 66, 25, 82, 49, 106, 54, 111, 51, 108, 28, 85, 20, 77, 43, 100, 41, 98, 18, 75, 31, 88, 50, 107, 52, 109, 57, 114, 37, 94, 15, 72, 5, 62)(2, 59, 6, 63, 17, 74, 40, 97, 56, 113, 35, 92, 23, 80, 8, 65, 22, 79, 46, 103, 53, 110, 30, 87, 13, 70, 33, 90, 24, 81, 48, 105, 45, 102, 21, 78, 7, 64)(4, 61, 11, 68, 29, 86, 26, 83, 47, 104, 44, 101, 38, 95, 16, 73, 14, 71, 34, 91, 27, 84, 10, 67, 19, 76, 42, 99, 39, 96, 55, 112, 36, 93, 32, 89, 12, 69)
	L = (1, 59)(2, 61)(3, 65)(4, 58)(5, 70)(6, 73)(7, 76)(8, 67)(9, 81)(10, 60)(11, 85)(12, 88)(13, 71)(14, 62)(15, 92)(16, 75)(17, 96)(18, 63)(19, 77)(20, 64)(21, 101)(22, 69)(23, 104)(24, 83)(25, 74)(26, 66)(27, 107)(28, 87)(29, 109)(30, 68)(31, 79)(32, 111)(33, 112)(34, 108)(35, 93)(36, 72)(37, 78)(38, 106)(39, 82)(40, 86)(41, 90)(42, 114)(43, 80)(44, 94)(45, 89)(46, 95)(47, 100)(48, 84)(49, 103)(50, 105)(51, 113)(52, 97)(53, 99)(54, 102)(55, 98)(56, 91)(57, 110)
	local type(s) :: { ( 3^38 ) }
Outer automorphisms :: reflexible
Dual of E9.693
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 57 f = 38
	degree seq :: [ 38^3 ]

E9.695 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 19})
Quotient :: edge^2
Aut^+ = C19 : C3 (small group id <57, 1>)
Aut   = (C19 : C3) : C2 (small group id <114, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^2 * Y2 * Y3^-2, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3^19 ]
Map:: polytopal non-degenerate
	R = (1, 58, 4, 61, 15, 72, 40, 97, 54, 111, 35, 92, 46, 103, 19, 76, 30, 87, 48, 105, 24, 81, 26, 83, 11, 68, 32, 89, 45, 102, 56, 113, 51, 108, 23, 80, 7, 64)(2, 59, 8, 65, 25, 82, 52, 109, 57, 114, 49, 106, 20, 77, 6, 63, 12, 69, 34, 91, 43, 100, 44, 101, 21, 78, 42, 99, 17, 74, 33, 90, 36, 93, 31, 88, 10, 67)(3, 60, 5, 62, 18, 75, 39, 96, 41, 98, 47, 104, 55, 112, 28, 85, 9, 66, 22, 79, 38, 95, 14, 71, 16, 73, 29, 86, 53, 110, 27, 84, 50, 107, 37, 94, 13, 70)(115, 116, 119)(117, 125, 126)(118, 120, 130)(121, 135, 136)(122, 123, 140)(124, 143, 144)(127, 149, 150)(128, 146, 147)(129, 131, 155)(132, 133, 158)(134, 161, 162)(137, 163, 151)(138, 156, 164)(139, 141, 154)(142, 168, 148)(145, 169, 165)(152, 160, 171)(153, 159, 166)(157, 167, 170)(172, 174, 177)(173, 178, 180)(175, 185, 188)(176, 181, 190)(179, 195, 198)(182, 184, 204)(183, 197, 199)(186, 210, 196)(187, 191, 201)(189, 214, 216)(192, 194, 221)(193, 215, 217)(200, 202, 227)(203, 209, 223)(205, 211, 224)(206, 208, 228)(207, 225, 226)(212, 213, 219)(218, 220, 222)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 4^3 ), ( 4^38 ) }
Outer automorphisms :: reflexible
Dual of E9.698
Graph:: simple bipartite
	v = 41 e = 114 f = 57
	degree seq :: [ 3^38, 38^3 ]

E9.696 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 19})
Quotient :: edge^2
Aut^+ = C19 : C3 (small group id <57, 1>)
Aut   = (C19 : C3) : C2 (small group id <114, 1>)
|r| :: 2
Presentation :: [ Y3, R^2, Y1^3, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^19 ]
Map:: polytopal
	R = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)(115, 116, 118)(117, 122, 123)(119, 126, 127)(120, 128, 129)(121, 130, 131)(124, 135, 136)(125, 137, 138)(132, 147, 148)(133, 140, 149)(134, 150, 151)(139, 156, 157)(141, 158, 159)(142, 160, 161)(143, 145, 162)(144, 163, 164)(146, 165, 166)(152, 167, 170)(153, 154, 169)(155, 168, 171)(172, 174, 176)(173, 177, 178)(175, 181, 182)(179, 189, 190)(180, 187, 191)(183, 196, 193)(184, 197, 198)(185, 199, 200)(186, 194, 201)(188, 202, 203)(192, 209, 210)(195, 211, 212)(204, 218, 220)(205, 207, 224)(206, 221, 225)(208, 222, 226)(213, 217, 227)(214, 215, 219)(216, 228, 223)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 76, 76 ), ( 76^3 ) }
Outer automorphisms :: reflexible
Dual of E9.697
Graph:: simple bipartite
	v = 95 e = 114 f = 3
	degree seq :: [ 2^57, 3^38 ]

E9.697 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 19})
Quotient :: loop^2
Aut^+ = C19 : C3 (small group id <57, 1>)
Aut   = (C19 : C3) : C2 (small group id <114, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^2 * Y2 * Y3^-2, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3^19 ]
Map::
	R = (1, 58, 115, 172, 4, 61, 118, 175, 15, 72, 129, 186, 40, 97, 154, 211, 54, 111, 168, 225, 35, 92, 149, 206, 46, 103, 160, 217, 19, 76, 133, 190, 30, 87, 144, 201, 48, 105, 162, 219, 24, 81, 138, 195, 26, 83, 140, 197, 11, 68, 125, 182, 32, 89, 146, 203, 45, 102, 159, 216, 56, 113, 170, 227, 51, 108, 165, 222, 23, 80, 137, 194, 7, 64, 121, 178)(2, 59, 116, 173, 8, 65, 122, 179, 25, 82, 139, 196, 52, 109, 166, 223, 57, 114, 171, 228, 49, 106, 163, 220, 20, 77, 134, 191, 6, 63, 120, 177, 12, 69, 126, 183, 34, 91, 148, 205, 43, 100, 157, 214, 44, 101, 158, 215, 21, 78, 135, 192, 42, 99, 156, 213, 17, 74, 131, 188, 33, 90, 147, 204, 36, 93, 150, 207, 31, 88, 145, 202, 10, 67, 124, 181)(3, 60, 117, 174, 5, 62, 119, 176, 18, 75, 132, 189, 39, 96, 153, 210, 41, 98, 155, 212, 47, 104, 161, 218, 55, 112, 169, 226, 28, 85, 142, 199, 9, 66, 123, 180, 22, 79, 136, 193, 38, 95, 152, 209, 14, 71, 128, 185, 16, 73, 130, 187, 29, 86, 143, 200, 53, 110, 167, 224, 27, 84, 141, 198, 50, 107, 164, 221, 37, 94, 151, 208, 13, 70, 127, 184)
	L = (1, 59)(2, 62)(3, 68)(4, 63)(5, 58)(6, 73)(7, 78)(8, 66)(9, 83)(10, 86)(11, 69)(12, 60)(13, 92)(14, 89)(15, 74)(16, 61)(17, 98)(18, 76)(19, 101)(20, 104)(21, 79)(22, 64)(23, 106)(24, 99)(25, 84)(26, 65)(27, 97)(28, 111)(29, 87)(30, 67)(31, 112)(32, 90)(33, 71)(34, 85)(35, 93)(36, 70)(37, 80)(38, 103)(39, 102)(40, 82)(41, 72)(42, 107)(43, 110)(44, 75)(45, 109)(46, 114)(47, 105)(48, 77)(49, 94)(50, 81)(51, 88)(52, 96)(53, 113)(54, 91)(55, 108)(56, 100)(57, 95)(115, 174)(116, 178)(117, 177)(118, 185)(119, 181)(120, 172)(121, 180)(122, 195)(123, 173)(124, 190)(125, 184)(126, 197)(127, 204)(128, 188)(129, 210)(130, 191)(131, 175)(132, 214)(133, 176)(134, 201)(135, 194)(136, 215)(137, 221)(138, 198)(139, 186)(140, 199)(141, 179)(142, 183)(143, 202)(144, 187)(145, 227)(146, 209)(147, 182)(148, 211)(149, 208)(150, 225)(151, 228)(152, 223)(153, 196)(154, 224)(155, 213)(156, 219)(157, 216)(158, 217)(159, 189)(160, 193)(161, 220)(162, 212)(163, 222)(164, 192)(165, 218)(166, 203)(167, 205)(168, 226)(169, 207)(170, 200)(171, 206)
	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 ) }
Outer automorphisms :: reflexible
Dual of E9.696
Transitivity :: VT+
Graph::
	v = 3 e = 114 f = 95
	degree seq :: [ 76^3 ]

E9.698 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 19})
Quotient :: loop^2
Aut^+ = C19 : C3 (small group id <57, 1>)
Aut   = (C19 : C3) : C2 (small group id <114, 1>)
|r| :: 2
Presentation :: [ Y3, R^2, Y1^3, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^19 ]
Map:: polytopal non-degenerate
	R = (1, 58, 115, 172)(2, 59, 116, 173)(3, 60, 117, 174)(4, 61, 118, 175)(5, 62, 119, 176)(6, 63, 120, 177)(7, 64, 121, 178)(8, 65, 122, 179)(9, 66, 123, 180)(10, 67, 124, 181)(11, 68, 125, 182)(12, 69, 126, 183)(13, 70, 127, 184)(14, 71, 128, 185)(15, 72, 129, 186)(16, 73, 130, 187)(17, 74, 131, 188)(18, 75, 132, 189)(19, 76, 133, 190)(20, 77, 134, 191)(21, 78, 135, 192)(22, 79, 136, 193)(23, 80, 137, 194)(24, 81, 138, 195)(25, 82, 139, 196)(26, 83, 140, 197)(27, 84, 141, 198)(28, 85, 142, 199)(29, 86, 143, 200)(30, 87, 144, 201)(31, 88, 145, 202)(32, 89, 146, 203)(33, 90, 147, 204)(34, 91, 148, 205)(35, 92, 149, 206)(36, 93, 150, 207)(37, 94, 151, 208)(38, 95, 152, 209)(39, 96, 153, 210)(40, 97, 154, 211)(41, 98, 155, 212)(42, 99, 156, 213)(43, 100, 157, 214)(44, 101, 158, 215)(45, 102, 159, 216)(46, 103, 160, 217)(47, 104, 161, 218)(48, 105, 162, 219)(49, 106, 163, 220)(50, 107, 164, 221)(51, 108, 165, 222)(52, 109, 166, 223)(53, 110, 167, 224)(54, 111, 168, 225)(55, 112, 169, 226)(56, 113, 170, 227)(57, 114, 171, 228)
	L = (1, 59)(2, 61)(3, 65)(4, 58)(5, 69)(6, 71)(7, 73)(8, 66)(9, 60)(10, 78)(11, 80)(12, 70)(13, 62)(14, 72)(15, 63)(16, 74)(17, 64)(18, 90)(19, 83)(20, 93)(21, 79)(22, 67)(23, 81)(24, 68)(25, 99)(26, 92)(27, 101)(28, 103)(29, 88)(30, 106)(31, 105)(32, 108)(33, 91)(34, 75)(35, 76)(36, 94)(37, 77)(38, 110)(39, 97)(40, 112)(41, 111)(42, 100)(43, 82)(44, 102)(45, 84)(46, 104)(47, 85)(48, 86)(49, 107)(50, 87)(51, 109)(52, 89)(53, 113)(54, 114)(55, 96)(56, 95)(57, 98)(115, 174)(116, 177)(117, 176)(118, 181)(119, 172)(120, 178)(121, 173)(122, 189)(123, 187)(124, 182)(125, 175)(126, 196)(127, 197)(128, 199)(129, 194)(130, 191)(131, 202)(132, 190)(133, 179)(134, 180)(135, 209)(136, 183)(137, 201)(138, 211)(139, 193)(140, 198)(141, 184)(142, 200)(143, 185)(144, 186)(145, 203)(146, 188)(147, 218)(148, 207)(149, 221)(150, 224)(151, 222)(152, 210)(153, 192)(154, 212)(155, 195)(156, 217)(157, 215)(158, 219)(159, 228)(160, 227)(161, 220)(162, 214)(163, 204)(164, 225)(165, 226)(166, 216)(167, 205)(168, 206)(169, 208)(170, 213)(171, 223)
	local type(s) :: { ( 3, 38, 3, 38 ) }
Outer automorphisms :: reflexible
Dual of E9.695
Transitivity :: VT+
Graph:: simple
	v = 57 e = 114 f = 41
	degree seq :: [ 4^57 ]

E9.699 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 5, 5})
Quotient :: edge
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^5, (T2 * T1^-1)^3, (T2^-2 * T1^-1)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^2 * T1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 15, 5)(2, 6, 17, 21, 7)(4, 11, 28, 24, 12)(8, 22, 14, 33, 23)(10, 19, 38, 34, 26)(13, 32, 25, 43, 29)(16, 35, 20, 39, 36)(18, 30, 48, 40, 37)(27, 46, 31, 49, 47)(41, 56, 44, 57, 50)(42, 45, 58, 51, 52)(53, 54, 60, 55, 59)(61, 62, 64)(63, 68, 70)(65, 73, 74)(66, 76, 78)(67, 79, 80)(69, 84, 85)(71, 87, 89)(72, 90, 91)(75, 94, 77)(81, 100, 88)(82, 101, 102)(83, 103, 104)(86, 105, 96)(92, 109, 110)(93, 111, 98)(95, 112, 113)(97, 114, 107)(99, 115, 108)(106, 119, 116)(117, 120, 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) :: { ( 10^3 ), ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E9.701
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 60 f = 12
	degree seq :: [ 3^20, 5^12 ]

E9.700 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 5, 5})
Quotient :: edge
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1^-1)^5, T2^2 * T1 * T2^3 * T1 * T2^-2 * T1^-1 * T2^-1 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 13, 5)(2, 6, 15, 16, 7)(4, 10, 20, 21, 11)(8, 17, 29, 30, 18)(12, 22, 34, 35, 23)(14, 25, 37, 38, 26)(19, 31, 43, 36, 24)(27, 39, 50, 40, 28)(32, 44, 54, 45, 33)(41, 51, 58, 52, 42)(46, 53, 59, 55, 47)(48, 56, 60, 57, 49)(61, 62, 64)(63, 68, 67)(65, 70, 72)(66, 74, 71)(69, 79, 78)(73, 82, 84)(75, 87, 86)(76, 77, 88)(80, 92, 83)(81, 85, 93)(89, 101, 100)(90, 91, 102)(94, 106, 96)(95, 104, 107)(97, 108, 105)(98, 99, 109)(103, 113, 112)(110, 111, 117)(114, 116, 115)(118, 119, 120)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10^3 ), ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E9.702
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 60 f = 12
	degree seq :: [ 3^20, 5^12 ]

E9.701 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 5, 5})
Quotient :: loop
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^5, (T2 * T1^-1)^3, (T2^-2 * T1^-1)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^2 * T1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 3, 63, 9, 69, 15, 75, 5, 65)(2, 62, 6, 66, 17, 77, 21, 81, 7, 67)(4, 64, 11, 71, 28, 88, 24, 84, 12, 72)(8, 68, 22, 82, 14, 74, 33, 93, 23, 83)(10, 70, 19, 79, 38, 98, 34, 94, 26, 86)(13, 73, 32, 92, 25, 85, 43, 103, 29, 89)(16, 76, 35, 95, 20, 80, 39, 99, 36, 96)(18, 78, 30, 90, 48, 108, 40, 100, 37, 97)(27, 87, 46, 106, 31, 91, 49, 109, 47, 107)(41, 101, 56, 116, 44, 104, 57, 117, 50, 110)(42, 102, 45, 105, 58, 118, 51, 111, 52, 112)(53, 113, 54, 114, 60, 120, 55, 115, 59, 119)
	L = (1, 62)(2, 64)(3, 68)(4, 61)(5, 73)(6, 76)(7, 79)(8, 70)(9, 84)(10, 63)(11, 87)(12, 90)(13, 74)(14, 65)(15, 94)(16, 78)(17, 75)(18, 66)(19, 80)(20, 67)(21, 100)(22, 101)(23, 103)(24, 85)(25, 69)(26, 105)(27, 89)(28, 81)(29, 71)(30, 91)(31, 72)(32, 109)(33, 111)(34, 77)(35, 112)(36, 86)(37, 114)(38, 93)(39, 115)(40, 88)(41, 102)(42, 82)(43, 104)(44, 83)(45, 96)(46, 119)(47, 97)(48, 99)(49, 110)(50, 92)(51, 98)(52, 113)(53, 95)(54, 107)(55, 108)(56, 106)(57, 120)(58, 117)(59, 116)(60, 118)
	local type(s) :: { ( 3, 5, 3, 5, 3, 5, 3, 5, 3, 5 ) }
Outer automorphisms :: reflexible
Dual of E9.699
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 60 f = 32
	degree seq :: [ 10^12 ]

E9.702 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 5, 5})
Quotient :: loop
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1^-1)^5, T2^2 * T1 * T2^3 * T1 * T2^-2 * T1^-1 * T2^-1 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 3, 63, 9, 69, 13, 73, 5, 65)(2, 62, 6, 66, 15, 75, 16, 76, 7, 67)(4, 64, 10, 70, 20, 80, 21, 81, 11, 71)(8, 68, 17, 77, 29, 89, 30, 90, 18, 78)(12, 72, 22, 82, 34, 94, 35, 95, 23, 83)(14, 74, 25, 85, 37, 97, 38, 98, 26, 86)(19, 79, 31, 91, 43, 103, 36, 96, 24, 84)(27, 87, 39, 99, 50, 110, 40, 100, 28, 88)(32, 92, 44, 104, 54, 114, 45, 105, 33, 93)(41, 101, 51, 111, 58, 118, 52, 112, 42, 102)(46, 106, 53, 113, 59, 119, 55, 115, 47, 107)(48, 108, 56, 116, 60, 120, 57, 117, 49, 109)
	L = (1, 62)(2, 64)(3, 68)(4, 61)(5, 70)(6, 74)(7, 63)(8, 67)(9, 79)(10, 72)(11, 66)(12, 65)(13, 82)(14, 71)(15, 87)(16, 77)(17, 88)(18, 69)(19, 78)(20, 92)(21, 85)(22, 84)(23, 80)(24, 73)(25, 93)(26, 75)(27, 86)(28, 76)(29, 101)(30, 91)(31, 102)(32, 83)(33, 81)(34, 106)(35, 104)(36, 94)(37, 108)(38, 99)(39, 109)(40, 89)(41, 100)(42, 90)(43, 113)(44, 107)(45, 97)(46, 96)(47, 95)(48, 105)(49, 98)(50, 111)(51, 117)(52, 103)(53, 112)(54, 116)(55, 114)(56, 115)(57, 110)(58, 119)(59, 120)(60, 118)
	local type(s) :: { ( 3, 5, 3, 5, 3, 5, 3, 5, 3, 5 ) }
Outer automorphisms :: reflexible
Dual of E9.700
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 60 f = 32
	degree seq :: [ 10^12 ]

E9.703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1 * Y2^2 * Y1 * Y2^3 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 4, 64)(3, 63, 8, 68, 7, 67)(5, 65, 10, 70, 12, 72)(6, 66, 14, 74, 11, 71)(9, 69, 19, 79, 18, 78)(13, 73, 22, 82, 24, 84)(15, 75, 27, 87, 26, 86)(16, 76, 17, 77, 28, 88)(20, 80, 32, 92, 23, 83)(21, 81, 25, 85, 33, 93)(29, 89, 41, 101, 40, 100)(30, 90, 31, 91, 42, 102)(34, 94, 46, 106, 36, 96)(35, 95, 44, 104, 47, 107)(37, 97, 48, 108, 45, 105)(38, 98, 39, 99, 49, 109)(43, 103, 53, 113, 52, 112)(50, 110, 51, 111, 57, 117)(54, 114, 56, 116, 55, 115)(58, 118, 59, 119, 60, 120)(121, 181, 123, 183, 129, 189, 133, 193, 125, 185)(122, 182, 126, 186, 135, 195, 136, 196, 127, 187)(124, 184, 130, 190, 140, 200, 141, 201, 131, 191)(128, 188, 137, 197, 149, 209, 150, 210, 138, 198)(132, 192, 142, 202, 154, 214, 155, 215, 143, 203)(134, 194, 145, 205, 157, 217, 158, 218, 146, 206)(139, 199, 151, 211, 163, 223, 156, 216, 144, 204)(147, 207, 159, 219, 170, 230, 160, 220, 148, 208)(152, 212, 164, 224, 174, 234, 165, 225, 153, 213)(161, 221, 171, 231, 178, 238, 172, 232, 162, 222)(166, 226, 173, 233, 179, 239, 175, 235, 167, 227)(168, 228, 176, 236, 180, 240, 177, 237, 169, 229)
	L = (1, 124)(2, 121)(3, 127)(4, 122)(5, 132)(6, 131)(7, 128)(8, 123)(9, 138)(10, 125)(11, 134)(12, 130)(13, 144)(14, 126)(15, 146)(16, 148)(17, 136)(18, 139)(19, 129)(20, 143)(21, 153)(22, 133)(23, 152)(24, 142)(25, 141)(26, 147)(27, 135)(28, 137)(29, 160)(30, 162)(31, 150)(32, 140)(33, 145)(34, 156)(35, 167)(36, 166)(37, 165)(38, 169)(39, 158)(40, 161)(41, 149)(42, 151)(43, 172)(44, 155)(45, 168)(46, 154)(47, 164)(48, 157)(49, 159)(50, 177)(51, 170)(52, 173)(53, 163)(54, 175)(55, 176)(56, 174)(57, 171)(58, 180)(59, 178)(60, 179)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.706
Graph:: bipartite
	v = 32 e = 120 f = 72
	degree seq :: [ 6^20, 10^12 ]

E9.704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^5, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2^-2 * Y1^-1 * Y2^-2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2^-2 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 61, 2, 62, 4, 64)(3, 63, 8, 68, 10, 70)(5, 65, 13, 73, 14, 74)(6, 66, 16, 76, 18, 78)(7, 67, 19, 79, 20, 80)(9, 69, 24, 84, 25, 85)(11, 71, 27, 87, 29, 89)(12, 72, 30, 90, 31, 91)(15, 75, 34, 94, 17, 77)(21, 81, 40, 100, 28, 88)(22, 82, 41, 101, 42, 102)(23, 83, 43, 103, 44, 104)(26, 86, 45, 105, 36, 96)(32, 92, 49, 109, 50, 110)(33, 93, 51, 111, 38, 98)(35, 95, 52, 112, 53, 113)(37, 97, 54, 114, 47, 107)(39, 99, 55, 115, 48, 108)(46, 106, 59, 119, 56, 116)(57, 117, 60, 120, 58, 118)(121, 181, 123, 183, 129, 189, 135, 195, 125, 185)(122, 182, 126, 186, 137, 197, 141, 201, 127, 187)(124, 184, 131, 191, 148, 208, 144, 204, 132, 192)(128, 188, 142, 202, 134, 194, 153, 213, 143, 203)(130, 190, 139, 199, 158, 218, 154, 214, 146, 206)(133, 193, 152, 212, 145, 205, 163, 223, 149, 209)(136, 196, 155, 215, 140, 200, 159, 219, 156, 216)(138, 198, 150, 210, 168, 228, 160, 220, 157, 217)(147, 207, 166, 226, 151, 211, 169, 229, 167, 227)(161, 221, 176, 236, 164, 224, 177, 237, 170, 230)(162, 222, 165, 225, 178, 238, 171, 231, 172, 232)(173, 233, 174, 234, 180, 240, 175, 235, 179, 239)
	L = (1, 124)(2, 121)(3, 130)(4, 122)(5, 134)(6, 138)(7, 140)(8, 123)(9, 145)(10, 128)(11, 149)(12, 151)(13, 125)(14, 133)(15, 137)(16, 126)(17, 154)(18, 136)(19, 127)(20, 139)(21, 148)(22, 162)(23, 164)(24, 129)(25, 144)(26, 156)(27, 131)(28, 160)(29, 147)(30, 132)(31, 150)(32, 170)(33, 158)(34, 135)(35, 173)(36, 165)(37, 167)(38, 171)(39, 168)(40, 141)(41, 142)(42, 161)(43, 143)(44, 163)(45, 146)(46, 176)(47, 174)(48, 175)(49, 152)(50, 169)(51, 153)(52, 155)(53, 172)(54, 157)(55, 159)(56, 179)(57, 178)(58, 180)(59, 166)(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, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.705
Graph:: bipartite
	v = 32 e = 120 f = 72
	degree seq :: [ 6^20, 10^12 ]

E9.705 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-2)^2, (Y3^-1 * Y1)^3, Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 61, 2, 62, 6, 66, 12, 72, 4, 64)(3, 63, 9, 69, 22, 82, 25, 85, 10, 70)(5, 65, 14, 74, 31, 91, 16, 76, 15, 75)(7, 67, 18, 78, 13, 73, 30, 90, 19, 79)(8, 68, 20, 80, 39, 99, 29, 89, 21, 81)(11, 71, 27, 87, 17, 77, 35, 95, 28, 88)(23, 83, 42, 102, 26, 86, 45, 105, 41, 101)(24, 84, 33, 93, 51, 111, 44, 104, 43, 103)(32, 92, 49, 109, 34, 94, 46, 106, 50, 110)(36, 96, 52, 112, 38, 98, 54, 114, 47, 107)(37, 97, 40, 100, 55, 115, 48, 108, 53, 113)(56, 116, 57, 117, 60, 120, 58, 118, 59, 119)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 125)(4, 131)(5, 121)(6, 136)(7, 128)(8, 122)(9, 143)(10, 140)(11, 133)(12, 149)(13, 124)(14, 152)(15, 153)(16, 137)(17, 126)(18, 156)(19, 155)(20, 146)(21, 160)(22, 132)(23, 144)(24, 129)(25, 164)(26, 130)(27, 166)(28, 134)(29, 142)(30, 168)(31, 145)(32, 148)(33, 154)(34, 135)(35, 158)(36, 157)(37, 138)(38, 139)(39, 150)(40, 161)(41, 141)(42, 173)(43, 177)(44, 151)(45, 178)(46, 167)(47, 147)(48, 159)(49, 179)(50, 163)(51, 165)(52, 169)(53, 176)(54, 180)(55, 174)(56, 162)(57, 170)(58, 171)(59, 172)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.704
Graph:: simple bipartite
	v = 72 e = 120 f = 32
	degree seq :: [ 2^60, 10^12 ]

E9.706 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^5, Y1^2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 * Y3 ]
Map:: polytopal
	R = (1, 61, 2, 62, 6, 66, 11, 71, 4, 64)(3, 63, 9, 69, 18, 78, 17, 77, 8, 68)(5, 65, 10, 70, 20, 80, 24, 84, 13, 73)(7, 67, 16, 76, 27, 87, 26, 86, 15, 75)(12, 72, 21, 81, 33, 93, 35, 95, 23, 83)(14, 74, 25, 85, 37, 97, 34, 94, 22, 82)(19, 79, 31, 91, 43, 103, 42, 102, 30, 90)(28, 88, 29, 89, 41, 101, 51, 111, 40, 100)(32, 92, 44, 104, 54, 114, 47, 107, 36, 96)(38, 98, 39, 99, 50, 110, 57, 117, 49, 109)(45, 105, 48, 108, 56, 116, 55, 115, 46, 106)(52, 112, 53, 113, 59, 119, 60, 120, 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, 125)(4, 130)(5, 121)(6, 134)(7, 128)(8, 122)(9, 139)(10, 132)(11, 141)(12, 124)(13, 129)(14, 135)(15, 126)(16, 148)(17, 136)(18, 149)(19, 133)(20, 152)(21, 142)(22, 131)(23, 140)(24, 151)(25, 158)(26, 145)(27, 159)(28, 137)(29, 150)(30, 138)(31, 156)(32, 143)(33, 165)(34, 153)(35, 164)(36, 144)(37, 168)(38, 146)(39, 160)(40, 147)(41, 172)(42, 161)(43, 173)(44, 166)(45, 154)(46, 155)(47, 163)(48, 169)(49, 157)(50, 178)(51, 170)(52, 162)(53, 167)(54, 179)(55, 174)(56, 180)(57, 176)(58, 171)(59, 175)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.703
Graph:: simple bipartite
	v = 72 e = 120 f = 32
	degree seq :: [ 2^60, 10^12 ]

E9.707 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y1 * Y3 * Y1 * Y3 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 65)(3, 71, 7, 67)(4, 73, 9, 68)(5, 74, 10, 69)(6, 76, 12, 70)(8, 79, 15, 72)(11, 84, 20, 75)(13, 87, 23, 77)(14, 89, 25, 78)(16, 92, 28, 80)(17, 94, 30, 81)(18, 95, 31, 82)(19, 97, 33, 83)(21, 100, 36, 85)(22, 102, 38, 86)(24, 98, 34, 88)(26, 96, 32, 90)(27, 101, 37, 91)(29, 99, 35, 93)(39, 113, 49, 103)(40, 114, 50, 104)(41, 115, 51, 105)(42, 116, 52, 106)(43, 112, 48, 107)(44, 117, 53, 108)(45, 118, 54, 109)(46, 119, 55, 110)(47, 120, 56, 111)(57, 125, 61, 121)(58, 127, 63, 122)(59, 126, 62, 123)(60, 128, 64, 124)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 41)(27, 43)(28, 40)(30, 42)(31, 44)(33, 46)(35, 48)(36, 45)(38, 47)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 68)(66, 70)(67, 72)(69, 75)(71, 78)(73, 81)(74, 83)(76, 86)(77, 88)(79, 91)(80, 93)(82, 96)(84, 99)(85, 101)(87, 104)(89, 106)(90, 107)(92, 103)(94, 105)(95, 109)(97, 111)(98, 112)(100, 108)(102, 110)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.708
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.708 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3 * Y2)^2, Y1^4, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y2)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 80, 16, 75, 11, 67)(4, 76, 12, 81, 17, 77, 13, 68)(7, 82, 18, 78, 14, 84, 20, 71)(8, 85, 21, 79, 15, 86, 22, 72)(10, 89, 25, 92, 28, 83, 19, 74)(23, 97, 33, 90, 26, 98, 34, 87)(24, 99, 35, 91, 27, 100, 36, 88)(29, 101, 37, 95, 31, 102, 38, 93)(30, 103, 39, 96, 32, 104, 40, 94)(41, 113, 49, 107, 43, 114, 50, 105)(42, 115, 51, 108, 44, 116, 52, 106)(45, 117, 53, 111, 47, 118, 54, 109)(46, 119, 55, 112, 48, 120, 56, 110)(57, 125, 61, 123, 59, 127, 63, 121)(58, 128, 64, 124, 60, 126, 62, 122)
	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, 68)(66, 72)(67, 74)(69, 79)(70, 81)(71, 83)(73, 88)(75, 91)(76, 90)(77, 87)(78, 89)(80, 92)(82, 94)(84, 96)(85, 95)(86, 93)(97, 106)(98, 108)(99, 107)(100, 105)(101, 110)(102, 112)(103, 111)(104, 109)(113, 122)(114, 124)(115, 123)(116, 121)(117, 126)(118, 128)(119, 127)(120, 125)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.707
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.709 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y2 * Y3 * Y1 * Y3 * Y1)^2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y1)^8 ]
Map:: polytopal
	R = (1, 65, 4, 68)(2, 66, 6, 70)(3, 67, 7, 71)(5, 69, 10, 74)(8, 72, 16, 80)(9, 73, 17, 81)(11, 75, 21, 85)(12, 76, 22, 86)(13, 77, 24, 88)(14, 78, 25, 89)(15, 79, 26, 90)(18, 82, 32, 96)(19, 83, 33, 97)(20, 84, 34, 98)(23, 87, 39, 103)(27, 91, 40, 104)(28, 92, 41, 105)(29, 93, 42, 106)(30, 94, 43, 107)(31, 95, 44, 108)(35, 99, 45, 109)(36, 100, 46, 110)(37, 101, 47, 111)(38, 102, 48, 112)(49, 113, 57, 121)(50, 114, 58, 122)(51, 115, 59, 123)(52, 116, 60, 124)(53, 117, 61, 125)(54, 118, 62, 126)(55, 119, 63, 127)(56, 120, 64, 128)(129, 130)(131, 133)(132, 136)(134, 139)(135, 141)(137, 143)(138, 146)(140, 148)(142, 151)(144, 155)(145, 157)(147, 159)(149, 163)(150, 165)(152, 164)(153, 166)(154, 162)(156, 160)(158, 161)(167, 172)(168, 177)(169, 179)(170, 178)(171, 180)(173, 181)(174, 183)(175, 182)(176, 184)(185, 189)(186, 190)(187, 191)(188, 192)(193, 195)(194, 197)(196, 201)(198, 204)(199, 206)(200, 207)(202, 211)(203, 212)(205, 215)(208, 220)(209, 222)(210, 223)(213, 228)(214, 230)(216, 227)(217, 229)(218, 231)(219, 224)(221, 225)(226, 236)(232, 242)(233, 244)(234, 241)(235, 243)(237, 246)(238, 248)(239, 245)(240, 247)(249, 255)(250, 256)(251, 253)(252, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E9.712
Graph:: simple bipartite
	v = 96 e = 128 f = 16
	degree seq :: [ 2^64, 4^32 ]

E9.710 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 20, 84, 8, 72)(3, 67, 9, 73, 23, 87, 10, 74)(6, 70, 16, 80, 28, 92, 17, 81)(11, 75, 24, 88, 14, 78, 25, 89)(12, 76, 26, 90, 15, 79, 27, 91)(18, 82, 29, 93, 21, 85, 30, 94)(19, 83, 31, 95, 22, 86, 32, 96)(33, 97, 41, 105, 35, 99, 42, 106)(34, 98, 43, 107, 36, 100, 44, 108)(37, 101, 45, 109, 39, 103, 46, 110)(38, 102, 47, 111, 40, 104, 48, 112)(49, 113, 57, 121, 51, 115, 58, 122)(50, 114, 59, 123, 52, 116, 60, 124)(53, 117, 61, 125, 55, 119, 62, 126)(54, 118, 63, 127, 56, 120, 64, 128)(129, 130)(131, 134)(132, 139)(133, 142)(135, 146)(136, 149)(137, 150)(138, 147)(140, 145)(141, 148)(143, 144)(151, 156)(152, 161)(153, 163)(154, 164)(155, 162)(157, 165)(158, 167)(159, 168)(160, 166)(169, 177)(170, 179)(171, 180)(172, 178)(173, 181)(174, 183)(175, 184)(176, 182)(185, 189)(186, 190)(187, 191)(188, 192)(193, 195)(194, 198)(196, 204)(197, 207)(199, 211)(200, 214)(201, 213)(202, 210)(203, 209)(205, 215)(206, 208)(212, 220)(216, 226)(217, 228)(218, 227)(219, 225)(221, 230)(222, 232)(223, 231)(224, 229)(233, 242)(234, 244)(235, 243)(236, 241)(237, 246)(238, 248)(239, 247)(240, 245)(249, 256)(250, 255)(251, 254)(252, 253)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.711
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.711 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y2 * Y3 * Y1 * Y3 * Y1)^2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y1)^8 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 6, 70, 134, 198)(3, 67, 131, 195, 7, 71, 135, 199)(5, 69, 133, 197, 10, 74, 138, 202)(8, 72, 136, 200, 16, 80, 144, 208)(9, 73, 137, 201, 17, 81, 145, 209)(11, 75, 139, 203, 21, 85, 149, 213)(12, 76, 140, 204, 22, 86, 150, 214)(13, 77, 141, 205, 24, 88, 152, 216)(14, 78, 142, 206, 25, 89, 153, 217)(15, 79, 143, 207, 26, 90, 154, 218)(18, 82, 146, 210, 32, 96, 160, 224)(19, 83, 147, 211, 33, 97, 161, 225)(20, 84, 148, 212, 34, 98, 162, 226)(23, 87, 151, 215, 39, 103, 167, 231)(27, 91, 155, 219, 40, 104, 168, 232)(28, 92, 156, 220, 41, 105, 169, 233)(29, 93, 157, 221, 42, 106, 170, 234)(30, 94, 158, 222, 43, 107, 171, 235)(31, 95, 159, 223, 44, 108, 172, 236)(35, 99, 163, 227, 45, 109, 173, 237)(36, 100, 164, 228, 46, 110, 174, 238)(37, 101, 165, 229, 47, 111, 175, 239)(38, 102, 166, 230, 48, 112, 176, 240)(49, 113, 177, 241, 57, 121, 185, 249)(50, 114, 178, 242, 58, 122, 186, 250)(51, 115, 179, 243, 59, 123, 187, 251)(52, 116, 180, 244, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253)(54, 118, 182, 246, 62, 126, 190, 254)(55, 119, 183, 247, 63, 127, 191, 255)(56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 69)(4, 72)(5, 67)(6, 75)(7, 77)(8, 68)(9, 79)(10, 82)(11, 70)(12, 84)(13, 71)(14, 87)(15, 73)(16, 91)(17, 93)(18, 74)(19, 95)(20, 76)(21, 99)(22, 101)(23, 78)(24, 100)(25, 102)(26, 98)(27, 80)(28, 96)(29, 81)(30, 97)(31, 83)(32, 92)(33, 94)(34, 90)(35, 85)(36, 88)(37, 86)(38, 89)(39, 108)(40, 113)(41, 115)(42, 114)(43, 116)(44, 103)(45, 117)(46, 119)(47, 118)(48, 120)(49, 104)(50, 106)(51, 105)(52, 107)(53, 109)(54, 111)(55, 110)(56, 112)(57, 125)(58, 126)(59, 127)(60, 128)(61, 121)(62, 122)(63, 123)(64, 124)(129, 195)(130, 197)(131, 193)(132, 201)(133, 194)(134, 204)(135, 206)(136, 207)(137, 196)(138, 211)(139, 212)(140, 198)(141, 215)(142, 199)(143, 200)(144, 220)(145, 222)(146, 223)(147, 202)(148, 203)(149, 228)(150, 230)(151, 205)(152, 227)(153, 229)(154, 231)(155, 224)(156, 208)(157, 225)(158, 209)(159, 210)(160, 219)(161, 221)(162, 236)(163, 216)(164, 213)(165, 217)(166, 214)(167, 218)(168, 242)(169, 244)(170, 241)(171, 243)(172, 226)(173, 246)(174, 248)(175, 245)(176, 247)(177, 234)(178, 232)(179, 235)(180, 233)(181, 239)(182, 237)(183, 240)(184, 238)(185, 255)(186, 256)(187, 253)(188, 254)(189, 251)(190, 252)(191, 249)(192, 250)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.710
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.712 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 20, 84, 148, 212, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 23, 87, 151, 215, 10, 74, 138, 202)(6, 70, 134, 198, 16, 80, 144, 208, 28, 92, 156, 220, 17, 81, 145, 209)(11, 75, 139, 203, 24, 88, 152, 216, 14, 78, 142, 206, 25, 89, 153, 217)(12, 76, 140, 204, 26, 90, 154, 218, 15, 79, 143, 207, 27, 91, 155, 219)(18, 82, 146, 210, 29, 93, 157, 221, 21, 85, 149, 213, 30, 94, 158, 222)(19, 83, 147, 211, 31, 95, 159, 223, 22, 86, 150, 214, 32, 96, 160, 224)(33, 97, 161, 225, 41, 105, 169, 233, 35, 99, 163, 227, 42, 106, 170, 234)(34, 98, 162, 226, 43, 107, 171, 235, 36, 100, 164, 228, 44, 108, 172, 236)(37, 101, 165, 229, 45, 109, 173, 237, 39, 103, 167, 231, 46, 110, 174, 238)(38, 102, 166, 230, 47, 111, 175, 239, 40, 104, 168, 232, 48, 112, 176, 240)(49, 113, 177, 241, 57, 121, 185, 249, 51, 115, 179, 243, 58, 122, 186, 250)(50, 114, 178, 242, 59, 123, 187, 251, 52, 116, 180, 244, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253, 55, 119, 183, 247, 62, 126, 190, 254)(54, 118, 182, 246, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 70)(4, 75)(5, 78)(6, 67)(7, 82)(8, 85)(9, 86)(10, 83)(11, 68)(12, 81)(13, 84)(14, 69)(15, 80)(16, 79)(17, 76)(18, 71)(19, 74)(20, 77)(21, 72)(22, 73)(23, 92)(24, 97)(25, 99)(26, 100)(27, 98)(28, 87)(29, 101)(30, 103)(31, 104)(32, 102)(33, 88)(34, 91)(35, 89)(36, 90)(37, 93)(38, 96)(39, 94)(40, 95)(41, 113)(42, 115)(43, 116)(44, 114)(45, 117)(46, 119)(47, 120)(48, 118)(49, 105)(50, 108)(51, 106)(52, 107)(53, 109)(54, 112)(55, 110)(56, 111)(57, 125)(58, 126)(59, 127)(60, 128)(61, 121)(62, 122)(63, 123)(64, 124)(129, 195)(130, 198)(131, 193)(132, 204)(133, 207)(134, 194)(135, 211)(136, 214)(137, 213)(138, 210)(139, 209)(140, 196)(141, 215)(142, 208)(143, 197)(144, 206)(145, 203)(146, 202)(147, 199)(148, 220)(149, 201)(150, 200)(151, 205)(152, 226)(153, 228)(154, 227)(155, 225)(156, 212)(157, 230)(158, 232)(159, 231)(160, 229)(161, 219)(162, 216)(163, 218)(164, 217)(165, 224)(166, 221)(167, 223)(168, 222)(169, 242)(170, 244)(171, 243)(172, 241)(173, 246)(174, 248)(175, 247)(176, 245)(177, 236)(178, 233)(179, 235)(180, 234)(181, 240)(182, 237)(183, 239)(184, 238)(185, 256)(186, 255)(187, 254)(188, 253)(189, 252)(190, 251)(191, 250)(192, 249)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.709
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 96
	degree seq :: [ 16^16 ]

E9.713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1 * Y3 * Y1)^2, (Y2 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 15, 79)(11, 75, 20, 84)(13, 77, 23, 87)(14, 78, 21, 85)(16, 80, 19, 83)(17, 81, 22, 86)(18, 82, 28, 92)(24, 88, 35, 99)(25, 89, 34, 98)(26, 90, 32, 96)(27, 91, 31, 95)(29, 93, 39, 103)(30, 94, 38, 102)(33, 97, 41, 105)(36, 100, 44, 108)(37, 101, 45, 109)(40, 104, 48, 112)(42, 106, 51, 115)(43, 107, 50, 114)(46, 110, 55, 119)(47, 111, 54, 118)(49, 113, 53, 117)(52, 116, 59, 123)(56, 120, 62, 126)(57, 121, 61, 125)(58, 122, 60, 124)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 136, 200)(134, 198, 139, 203)(135, 199, 141, 205)(137, 201, 144, 208)(138, 202, 146, 210)(140, 204, 149, 213)(142, 206, 152, 216)(143, 207, 153, 217)(145, 209, 155, 219)(147, 211, 157, 221)(148, 212, 158, 222)(150, 214, 160, 224)(151, 215, 161, 225)(154, 218, 164, 228)(156, 220, 165, 229)(159, 223, 168, 232)(162, 226, 170, 234)(163, 227, 171, 235)(166, 230, 174, 238)(167, 231, 175, 239)(169, 233, 177, 241)(172, 236, 180, 244)(173, 237, 181, 245)(176, 240, 184, 248)(178, 242, 185, 249)(179, 243, 186, 250)(182, 246, 188, 252)(183, 247, 189, 253)(187, 251, 191, 255)(190, 254, 192, 256)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 139)(6, 130)(7, 142)(8, 131)(9, 145)(10, 147)(11, 133)(12, 150)(13, 152)(14, 135)(15, 154)(16, 155)(17, 137)(18, 157)(19, 138)(20, 159)(21, 160)(22, 140)(23, 162)(24, 141)(25, 164)(26, 143)(27, 144)(28, 166)(29, 146)(30, 168)(31, 148)(32, 149)(33, 170)(34, 151)(35, 172)(36, 153)(37, 174)(38, 156)(39, 176)(40, 158)(41, 178)(42, 161)(43, 180)(44, 163)(45, 182)(46, 165)(47, 184)(48, 167)(49, 185)(50, 169)(51, 187)(52, 171)(53, 188)(54, 173)(55, 190)(56, 175)(57, 177)(58, 191)(59, 179)(60, 181)(61, 192)(62, 183)(63, 186)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.718
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^4, (Y1 * Y2 * Y1 * Y3)^2, (Y2 * Y3^-1 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 40, 104)(23, 87, 37, 101)(25, 89, 44, 108)(27, 91, 33, 97)(28, 92, 38, 102)(29, 93, 39, 103)(30, 94, 32, 96)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 55, 119)(43, 107, 58, 122)(45, 109, 52, 116)(46, 110, 60, 124)(47, 111, 59, 123)(48, 112, 53, 117)(49, 113, 57, 121)(50, 114, 56, 120)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 178, 242)(157, 221, 177, 241)(160, 224, 181, 245)(161, 225, 180, 244)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 188, 252)(167, 231, 187, 251)(169, 233, 182, 246)(172, 236, 179, 243)(174, 238, 190, 254)(175, 239, 189, 253)(184, 248, 192, 256)(185, 249, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 181)(42, 179)(43, 149)(44, 151)(45, 189)(46, 154)(47, 152)(48, 190)(49, 158)(50, 155)(51, 171)(52, 169)(53, 159)(54, 161)(55, 191)(56, 164)(57, 162)(58, 192)(59, 168)(60, 165)(61, 176)(62, 173)(63, 186)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.719
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.715 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 16, 80)(7, 71, 19, 83)(8, 72, 21, 85)(10, 74, 24, 88)(11, 75, 25, 89)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 34, 98)(18, 82, 35, 99)(23, 87, 40, 104)(26, 90, 43, 107)(27, 91, 37, 101)(28, 92, 41, 105)(29, 93, 46, 110)(30, 94, 33, 97)(31, 95, 38, 102)(32, 96, 51, 115)(36, 100, 52, 116)(39, 103, 55, 119)(42, 106, 60, 124)(44, 108, 54, 118)(45, 109, 53, 117)(47, 111, 59, 123)(48, 112, 62, 126)(49, 113, 58, 122)(50, 114, 56, 120)(57, 121, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 146, 210)(136, 200, 145, 209)(137, 201, 150, 214)(140, 204, 152, 216)(141, 205, 154, 218)(142, 206, 158, 222)(143, 207, 144, 208)(147, 211, 162, 226)(148, 212, 164, 228)(149, 213, 168, 232)(151, 215, 170, 234)(153, 217, 174, 238)(155, 219, 173, 237)(156, 220, 172, 236)(157, 221, 176, 240)(159, 223, 178, 242)(160, 224, 161, 225)(163, 227, 183, 247)(165, 229, 182, 246)(166, 230, 181, 245)(167, 231, 185, 249)(169, 233, 187, 251)(171, 235, 186, 250)(175, 239, 189, 253)(177, 241, 180, 244)(179, 243, 190, 254)(184, 248, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 145)(7, 148)(8, 130)(9, 151)(10, 144)(11, 131)(12, 155)(13, 157)(14, 159)(15, 133)(16, 161)(17, 137)(18, 134)(19, 165)(20, 167)(21, 169)(22, 136)(23, 171)(24, 172)(25, 175)(26, 139)(27, 142)(28, 140)(29, 177)(30, 173)(31, 179)(32, 143)(33, 180)(34, 181)(35, 184)(36, 146)(37, 149)(38, 147)(39, 186)(40, 182)(41, 188)(42, 150)(43, 185)(44, 153)(45, 152)(46, 156)(47, 190)(48, 154)(49, 160)(50, 158)(51, 189)(52, 176)(53, 163)(54, 162)(55, 166)(56, 192)(57, 164)(58, 170)(59, 168)(60, 191)(61, 174)(62, 178)(63, 183)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.721
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.716 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 177>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^4, (Y2 * Y1 * Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 40, 104)(23, 87, 37, 101)(25, 89, 44, 108)(27, 91, 33, 97)(28, 92, 38, 102)(29, 93, 39, 103)(30, 94, 32, 96)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 53, 117)(43, 107, 52, 116)(45, 109, 58, 122)(46, 110, 60, 124)(47, 111, 59, 123)(48, 112, 55, 119)(49, 113, 57, 121)(50, 114, 56, 120)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 178, 242)(157, 221, 177, 241)(160, 224, 181, 245)(161, 225, 180, 244)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 188, 252)(167, 231, 187, 251)(169, 233, 184, 248)(172, 236, 189, 253)(174, 238, 179, 243)(175, 239, 190, 254)(182, 246, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 183)(42, 189)(43, 149)(44, 151)(45, 190)(46, 154)(47, 152)(48, 179)(49, 158)(50, 155)(51, 173)(52, 191)(53, 159)(54, 161)(55, 192)(56, 164)(57, 162)(58, 169)(59, 168)(60, 165)(61, 171)(62, 176)(63, 181)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.720
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.717 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y3^2 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^8, Y3^3 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 16, 80)(7, 71, 19, 83)(8, 72, 21, 85)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 34, 98)(18, 82, 36, 100)(23, 87, 37, 101)(25, 89, 43, 107)(27, 91, 33, 97)(28, 92, 38, 102)(29, 93, 41, 105)(30, 94, 50, 114)(31, 95, 39, 103)(32, 96, 44, 108)(35, 99, 52, 116)(40, 104, 59, 123)(42, 106, 53, 117)(45, 109, 57, 121)(46, 110, 58, 122)(47, 111, 62, 126)(48, 112, 54, 118)(49, 113, 55, 119)(51, 115, 60, 124)(56, 120, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 146, 210)(136, 200, 145, 209)(137, 201, 148, 212)(140, 204, 155, 219)(141, 205, 144, 208)(142, 206, 154, 218)(143, 207, 153, 217)(147, 211, 165, 229)(149, 213, 164, 228)(150, 214, 163, 227)(151, 215, 168, 232)(152, 216, 172, 236)(156, 220, 176, 240)(157, 221, 177, 241)(158, 222, 161, 225)(159, 223, 173, 237)(160, 224, 175, 239)(162, 226, 181, 245)(166, 230, 185, 249)(167, 231, 186, 250)(169, 233, 182, 246)(170, 234, 184, 248)(171, 235, 188, 252)(174, 238, 189, 253)(178, 242, 190, 254)(179, 243, 180, 244)(183, 247, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 145)(7, 148)(8, 130)(9, 146)(10, 153)(11, 131)(12, 156)(13, 158)(14, 159)(15, 133)(16, 139)(17, 163)(18, 134)(19, 166)(20, 168)(21, 169)(22, 136)(23, 137)(24, 173)(25, 175)(26, 176)(27, 177)(28, 142)(29, 140)(30, 179)(31, 172)(32, 143)(33, 144)(34, 182)(35, 184)(36, 185)(37, 186)(38, 149)(39, 147)(40, 188)(41, 181)(42, 150)(43, 151)(44, 189)(45, 154)(46, 152)(47, 180)(48, 155)(49, 190)(50, 157)(51, 160)(52, 161)(53, 191)(54, 164)(55, 162)(56, 171)(57, 165)(58, 192)(59, 167)(60, 170)(61, 178)(62, 174)(63, 187)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.722
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.718 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 5, 69)(3, 67, 9, 73, 14, 78, 11, 75)(4, 68, 12, 76, 15, 79, 8, 72)(7, 71, 16, 80, 13, 77, 18, 82)(10, 74, 21, 85, 24, 88, 20, 84)(17, 81, 27, 91, 23, 87, 26, 90)(19, 83, 29, 93, 22, 86, 31, 95)(25, 89, 33, 97, 28, 92, 35, 99)(30, 94, 39, 103, 32, 96, 38, 102)(34, 98, 43, 107, 36, 100, 42, 106)(37, 101, 45, 109, 40, 104, 47, 111)(41, 105, 49, 113, 44, 108, 51, 115)(46, 110, 55, 119, 48, 112, 54, 118)(50, 114, 59, 123, 52, 116, 58, 122)(53, 117, 57, 121, 56, 120, 60, 124)(61, 125, 64, 128, 62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 141, 205)(134, 198, 142, 206)(136, 200, 145, 209)(137, 201, 147, 211)(139, 203, 150, 214)(140, 204, 151, 215)(143, 207, 152, 216)(144, 208, 153, 217)(146, 210, 156, 220)(148, 212, 158, 222)(149, 213, 160, 224)(154, 218, 162, 226)(155, 219, 164, 228)(157, 221, 165, 229)(159, 223, 168, 232)(161, 225, 169, 233)(163, 227, 172, 236)(166, 230, 174, 238)(167, 231, 176, 240)(170, 234, 178, 242)(171, 235, 180, 244)(173, 237, 181, 245)(175, 239, 184, 248)(177, 241, 185, 249)(179, 243, 188, 252)(182, 246, 189, 253)(183, 247, 190, 254)(186, 250, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 140)(6, 143)(7, 145)(8, 130)(9, 148)(10, 131)(11, 149)(12, 133)(13, 151)(14, 152)(15, 134)(16, 154)(17, 135)(18, 155)(19, 158)(20, 137)(21, 139)(22, 160)(23, 141)(24, 142)(25, 162)(26, 144)(27, 146)(28, 164)(29, 166)(30, 147)(31, 167)(32, 150)(33, 170)(34, 153)(35, 171)(36, 156)(37, 174)(38, 157)(39, 159)(40, 176)(41, 178)(42, 161)(43, 163)(44, 180)(45, 182)(46, 165)(47, 183)(48, 168)(49, 186)(50, 169)(51, 187)(52, 172)(53, 189)(54, 173)(55, 175)(56, 190)(57, 191)(58, 177)(59, 179)(60, 192)(61, 181)(62, 184)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.713
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y3^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3^-2 * Y1 * Y2 * Y3^2 * Y2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 19, 83, 13, 77)(4, 68, 15, 79, 20, 84, 10, 74)(6, 70, 18, 82, 21, 85, 9, 73)(8, 72, 22, 86, 17, 81, 24, 88)(12, 76, 30, 94, 37, 101, 29, 93)(14, 78, 33, 97, 38, 102, 28, 92)(16, 80, 26, 90, 39, 103, 35, 99)(23, 87, 43, 107, 34, 98, 42, 106)(25, 89, 46, 110, 36, 100, 41, 105)(27, 91, 47, 111, 32, 96, 49, 113)(31, 95, 51, 115, 56, 120, 53, 117)(40, 104, 57, 121, 45, 109, 59, 123)(44, 108, 61, 125, 55, 119, 63, 127)(48, 112, 62, 126, 52, 116, 58, 122)(50, 114, 64, 128, 54, 118, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 147, 211)(137, 201, 153, 217)(138, 202, 151, 215)(139, 203, 155, 219)(141, 205, 160, 224)(143, 207, 162, 226)(144, 208, 159, 223)(146, 210, 164, 228)(148, 212, 166, 230)(149, 213, 165, 229)(150, 214, 168, 232)(152, 216, 173, 237)(154, 218, 172, 236)(156, 220, 178, 242)(157, 221, 176, 240)(158, 222, 180, 244)(161, 225, 182, 246)(163, 227, 183, 247)(167, 231, 184, 248)(169, 233, 188, 252)(170, 234, 186, 250)(171, 235, 190, 254)(174, 238, 192, 256)(175, 239, 189, 253)(177, 241, 191, 255)(179, 243, 187, 251)(181, 245, 185, 249)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 148)(8, 151)(9, 154)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 133)(16, 134)(17, 162)(18, 163)(19, 165)(20, 167)(21, 135)(22, 169)(23, 172)(24, 174)(25, 136)(26, 138)(27, 176)(28, 179)(29, 139)(30, 141)(31, 142)(32, 180)(33, 181)(34, 183)(35, 143)(36, 145)(37, 184)(38, 147)(39, 149)(40, 186)(41, 189)(42, 150)(43, 152)(44, 153)(45, 190)(46, 191)(47, 188)(48, 187)(49, 192)(50, 155)(51, 157)(52, 185)(53, 158)(54, 160)(55, 164)(56, 166)(57, 182)(58, 175)(59, 178)(60, 168)(61, 170)(62, 177)(63, 171)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.714
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.720 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 177>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 19, 83, 13, 77)(4, 68, 15, 79, 20, 84, 10, 74)(6, 70, 18, 82, 21, 85, 9, 73)(8, 72, 22, 86, 17, 81, 24, 88)(12, 76, 30, 94, 37, 101, 29, 93)(14, 78, 33, 97, 38, 102, 28, 92)(16, 80, 26, 90, 39, 103, 35, 99)(23, 87, 43, 107, 34, 98, 42, 106)(25, 89, 46, 110, 36, 100, 41, 105)(27, 91, 45, 109, 32, 96, 40, 104)(31, 95, 49, 113, 54, 118, 51, 115)(44, 108, 57, 121, 53, 117, 59, 123)(47, 111, 56, 120, 50, 114, 60, 124)(48, 112, 55, 119, 52, 116, 58, 122)(61, 125, 64, 128, 62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 147, 211)(137, 201, 153, 217)(138, 202, 151, 215)(139, 203, 155, 219)(141, 205, 160, 224)(143, 207, 162, 226)(144, 208, 159, 223)(146, 210, 164, 228)(148, 212, 166, 230)(149, 213, 165, 229)(150, 214, 168, 232)(152, 216, 173, 237)(154, 218, 172, 236)(156, 220, 176, 240)(157, 221, 175, 239)(158, 222, 178, 242)(161, 225, 180, 244)(163, 227, 181, 245)(167, 231, 182, 246)(169, 233, 184, 248)(170, 234, 183, 247)(171, 235, 186, 250)(174, 238, 188, 252)(177, 241, 189, 253)(179, 243, 190, 254)(185, 249, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 148)(8, 151)(9, 154)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 133)(16, 134)(17, 162)(18, 163)(19, 165)(20, 167)(21, 135)(22, 169)(23, 172)(24, 174)(25, 136)(26, 138)(27, 175)(28, 177)(29, 139)(30, 141)(31, 142)(32, 178)(33, 179)(34, 181)(35, 143)(36, 145)(37, 182)(38, 147)(39, 149)(40, 183)(41, 185)(42, 150)(43, 152)(44, 153)(45, 186)(46, 187)(47, 189)(48, 155)(49, 157)(50, 190)(51, 158)(52, 160)(53, 164)(54, 166)(55, 191)(56, 168)(57, 170)(58, 192)(59, 171)(60, 173)(61, 176)(62, 180)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.716
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3^4, Y2 * Y1^2 * Y2 * Y1^-2, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 19, 83, 13, 77)(4, 68, 15, 79, 20, 84, 10, 74)(6, 70, 18, 82, 21, 85, 9, 73)(8, 72, 22, 86, 17, 81, 24, 88)(12, 76, 30, 94, 37, 101, 29, 93)(14, 78, 33, 97, 38, 102, 28, 92)(16, 80, 26, 90, 39, 103, 35, 99)(23, 87, 43, 107, 34, 98, 42, 106)(25, 89, 46, 110, 36, 100, 41, 105)(27, 91, 47, 111, 32, 96, 49, 113)(31, 95, 51, 115, 56, 120, 53, 117)(40, 104, 57, 121, 45, 109, 59, 123)(44, 108, 61, 125, 55, 119, 63, 127)(48, 112, 58, 122, 52, 116, 62, 126)(50, 114, 60, 124, 54, 118, 64, 128)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 147, 211)(137, 201, 153, 217)(138, 202, 151, 215)(139, 203, 155, 219)(141, 205, 160, 224)(143, 207, 162, 226)(144, 208, 159, 223)(146, 210, 164, 228)(148, 212, 166, 230)(149, 213, 165, 229)(150, 214, 168, 232)(152, 216, 173, 237)(154, 218, 172, 236)(156, 220, 178, 242)(157, 221, 176, 240)(158, 222, 180, 244)(161, 225, 182, 246)(163, 227, 183, 247)(167, 231, 184, 248)(169, 233, 188, 252)(170, 234, 186, 250)(171, 235, 190, 254)(174, 238, 192, 256)(175, 239, 191, 255)(177, 241, 189, 253)(179, 243, 185, 249)(181, 245, 187, 251)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 148)(8, 151)(9, 154)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 133)(16, 134)(17, 162)(18, 163)(19, 165)(20, 167)(21, 135)(22, 169)(23, 172)(24, 174)(25, 136)(26, 138)(27, 176)(28, 179)(29, 139)(30, 141)(31, 142)(32, 180)(33, 181)(34, 183)(35, 143)(36, 145)(37, 184)(38, 147)(39, 149)(40, 186)(41, 189)(42, 150)(43, 152)(44, 153)(45, 190)(46, 191)(47, 192)(48, 185)(49, 188)(50, 155)(51, 157)(52, 187)(53, 158)(54, 160)(55, 164)(56, 166)(57, 178)(58, 177)(59, 182)(60, 168)(61, 170)(62, 175)(63, 171)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.715
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y3^2 * Y1^-1, (Y1^-1 * Y3^-1)^2, Y3^2 * Y1^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y1^-1 * Y2 * Y3^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 16, 80, 13, 77)(4, 68, 9, 73, 6, 70, 10, 74)(8, 72, 17, 81, 15, 79, 19, 83)(12, 76, 22, 86, 14, 78, 23, 87)(18, 82, 26, 90, 20, 84, 27, 91)(21, 85, 29, 93, 24, 88, 31, 95)(25, 89, 33, 97, 28, 92, 35, 99)(30, 94, 38, 102, 32, 96, 39, 103)(34, 98, 42, 106, 36, 100, 43, 107)(37, 101, 45, 109, 40, 104, 47, 111)(41, 105, 49, 113, 44, 108, 51, 115)(46, 110, 54, 118, 48, 112, 55, 119)(50, 114, 58, 122, 52, 116, 59, 123)(53, 117, 57, 121, 56, 120, 60, 124)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 143, 207)(134, 198, 140, 204)(135, 199, 144, 208)(137, 201, 148, 212)(138, 202, 146, 210)(139, 203, 149, 213)(141, 205, 152, 216)(145, 209, 153, 217)(147, 211, 156, 220)(150, 214, 160, 224)(151, 215, 158, 222)(154, 218, 164, 228)(155, 219, 162, 226)(157, 221, 165, 229)(159, 223, 168, 232)(161, 225, 169, 233)(163, 227, 172, 236)(166, 230, 176, 240)(167, 231, 174, 238)(170, 234, 180, 244)(171, 235, 178, 242)(173, 237, 181, 245)(175, 239, 184, 248)(177, 241, 185, 249)(179, 243, 188, 252)(182, 246, 190, 254)(183, 247, 189, 253)(186, 250, 192, 256)(187, 251, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 135)(5, 138)(6, 129)(7, 134)(8, 146)(9, 133)(10, 130)(11, 150)(12, 144)(13, 151)(14, 131)(15, 148)(16, 142)(17, 154)(18, 143)(19, 155)(20, 136)(21, 158)(22, 141)(23, 139)(24, 160)(25, 162)(26, 147)(27, 145)(28, 164)(29, 166)(30, 152)(31, 167)(32, 149)(33, 170)(34, 156)(35, 171)(36, 153)(37, 174)(38, 159)(39, 157)(40, 176)(41, 178)(42, 163)(43, 161)(44, 180)(45, 182)(46, 168)(47, 183)(48, 165)(49, 186)(50, 172)(51, 187)(52, 169)(53, 189)(54, 175)(55, 173)(56, 190)(57, 191)(58, 179)(59, 177)(60, 192)(61, 184)(62, 181)(63, 188)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.717
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.723 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3 * Y2)^2, (Y1 * Y2)^4, (Y3 * Y1)^4, (Y1 * Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 65)(3, 71, 7, 67)(4, 73, 9, 68)(5, 74, 10, 69)(6, 76, 12, 70)(8, 79, 15, 72)(11, 84, 20, 75)(13, 82, 18, 77)(14, 88, 24, 78)(16, 91, 27, 80)(17, 86, 22, 81)(19, 94, 30, 83)(21, 97, 33, 85)(23, 99, 35, 87)(25, 102, 38, 89)(26, 101, 37, 90)(28, 105, 41, 92)(29, 106, 42, 93)(31, 109, 45, 95)(32, 108, 44, 96)(34, 112, 48, 98)(36, 115, 51, 100)(39, 110, 46, 103)(40, 118, 54, 104)(43, 121, 57, 107)(47, 124, 60, 111)(49, 125, 61, 113)(50, 120, 56, 114)(52, 122, 58, 116)(53, 123, 59, 117)(55, 127, 63, 119)(62, 128, 64, 126)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 23)(15, 25)(17, 28)(19, 29)(20, 31)(22, 34)(24, 36)(26, 39)(27, 38)(30, 43)(32, 46)(33, 45)(35, 49)(37, 52)(40, 53)(41, 50)(42, 55)(44, 58)(47, 59)(48, 56)(51, 61)(54, 62)(57, 63)(60, 64)(65, 68)(66, 70)(67, 72)(69, 75)(71, 78)(73, 81)(74, 83)(76, 86)(77, 87)(79, 90)(80, 92)(82, 93)(84, 96)(85, 98)(88, 101)(89, 103)(91, 104)(94, 108)(95, 110)(97, 111)(99, 114)(100, 116)(102, 117)(105, 113)(106, 120)(107, 122)(109, 123)(112, 119)(115, 126)(118, 125)(121, 128)(124, 127)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.724
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.724 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y3, Y1^4, (R * Y1)^2, (Y3 * Y1 * Y2)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 87, 23, 75, 11, 67)(4, 76, 12, 93, 29, 77, 13, 68)(7, 82, 18, 103, 39, 84, 20, 71)(8, 85, 21, 108, 44, 86, 22, 72)(10, 90, 26, 99, 35, 83, 19, 74)(14, 94, 30, 115, 51, 95, 31, 78)(15, 96, 32, 116, 52, 97, 33, 79)(16, 98, 34, 117, 53, 100, 36, 80)(17, 101, 37, 122, 58, 102, 38, 81)(24, 111, 47, 118, 54, 106, 42, 88)(25, 107, 43, 119, 55, 112, 48, 89)(27, 113, 49, 120, 56, 104, 40, 91)(28, 105, 41, 121, 57, 114, 50, 92)(45, 123, 59, 127, 63, 125, 61, 109)(46, 126, 62, 128, 64, 124, 60, 110)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 24)(11, 27)(12, 28)(13, 25)(15, 26)(17, 35)(18, 40)(20, 42)(21, 43)(22, 41)(23, 45)(29, 46)(30, 49)(31, 47)(32, 48)(33, 50)(34, 54)(36, 56)(37, 57)(38, 55)(39, 59)(44, 60)(51, 61)(52, 62)(53, 63)(58, 64)(65, 68)(66, 72)(67, 74)(69, 79)(70, 81)(71, 83)(73, 89)(75, 92)(76, 91)(77, 88)(78, 90)(80, 99)(82, 105)(84, 107)(85, 106)(86, 104)(87, 110)(93, 109)(94, 114)(95, 112)(96, 111)(97, 113)(98, 119)(100, 121)(101, 120)(102, 118)(103, 124)(108, 123)(115, 126)(116, 125)(117, 128)(122, 127)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.723
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.725 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^2, (Y3 * Y1)^4, (Y3 * Y2)^4, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 65, 4, 68)(2, 66, 6, 70)(3, 67, 7, 71)(5, 69, 10, 74)(8, 72, 16, 80)(9, 73, 17, 81)(11, 75, 21, 85)(12, 76, 22, 86)(13, 77, 24, 88)(14, 78, 25, 89)(15, 79, 26, 90)(18, 82, 30, 94)(19, 83, 31, 95)(20, 84, 32, 96)(23, 87, 35, 99)(27, 91, 40, 104)(28, 92, 41, 105)(29, 93, 42, 106)(33, 97, 47, 111)(34, 98, 48, 112)(36, 100, 49, 113)(37, 101, 50, 114)(38, 102, 51, 115)(39, 103, 52, 116)(43, 107, 55, 119)(44, 108, 56, 120)(45, 109, 57, 121)(46, 110, 58, 122)(53, 117, 61, 125)(54, 118, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 130)(131, 133)(132, 136)(134, 139)(135, 141)(137, 143)(138, 146)(140, 148)(142, 151)(144, 149)(145, 156)(147, 157)(150, 162)(152, 158)(153, 165)(154, 166)(155, 161)(159, 172)(160, 173)(163, 174)(164, 171)(167, 170)(168, 181)(169, 179)(175, 187)(176, 185)(177, 188)(178, 186)(180, 184)(182, 183)(189, 191)(190, 192)(193, 195)(194, 197)(196, 201)(198, 204)(199, 206)(200, 207)(202, 211)(203, 212)(205, 215)(208, 219)(209, 217)(210, 221)(213, 225)(214, 223)(216, 228)(218, 231)(220, 229)(222, 235)(224, 238)(226, 236)(227, 237)(230, 234)(232, 244)(233, 246)(239, 250)(240, 252)(241, 249)(242, 251)(243, 247)(245, 248)(253, 256)(254, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E9.728
Graph:: simple bipartite
	v = 96 e = 128 f = 16
	degree seq :: [ 2^64, 4^32 ]

E9.726 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3^-1 * Y1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^4 ]
Map:: polytopal
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 20, 84, 8, 72)(3, 67, 9, 73, 23, 87, 10, 74)(6, 70, 16, 80, 34, 98, 17, 81)(11, 75, 24, 88, 45, 109, 25, 89)(12, 76, 26, 90, 46, 110, 27, 91)(14, 78, 30, 94, 51, 115, 31, 95)(15, 79, 32, 96, 52, 116, 33, 97)(18, 82, 35, 99, 53, 117, 36, 100)(19, 83, 37, 101, 54, 118, 38, 102)(21, 85, 41, 105, 59, 123, 42, 106)(22, 86, 43, 107, 60, 124, 44, 108)(28, 92, 47, 111, 61, 125, 48, 112)(29, 93, 49, 113, 62, 126, 50, 114)(39, 103, 55, 119, 63, 127, 56, 120)(40, 104, 57, 121, 64, 128, 58, 122)(129, 130)(131, 134)(132, 139)(133, 142)(135, 146)(136, 149)(137, 150)(138, 147)(140, 145)(141, 156)(143, 144)(148, 167)(151, 168)(152, 170)(153, 164)(154, 165)(155, 171)(157, 162)(158, 169)(159, 163)(160, 166)(161, 172)(173, 183)(174, 186)(175, 181)(176, 187)(177, 188)(178, 182)(179, 184)(180, 185)(189, 191)(190, 192)(193, 195)(194, 198)(196, 204)(197, 207)(199, 211)(200, 214)(201, 213)(202, 210)(203, 209)(205, 221)(206, 208)(212, 232)(215, 231)(216, 235)(217, 229)(218, 228)(219, 234)(220, 226)(222, 236)(223, 230)(224, 227)(225, 233)(237, 250)(238, 247)(239, 246)(240, 252)(241, 251)(242, 245)(243, 249)(244, 248)(253, 256)(254, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.727
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.727 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^2, (Y3 * Y1)^4, (Y3 * Y2)^4, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 6, 70, 134, 198)(3, 67, 131, 195, 7, 71, 135, 199)(5, 69, 133, 197, 10, 74, 138, 202)(8, 72, 136, 200, 16, 80, 144, 208)(9, 73, 137, 201, 17, 81, 145, 209)(11, 75, 139, 203, 21, 85, 149, 213)(12, 76, 140, 204, 22, 86, 150, 214)(13, 77, 141, 205, 24, 88, 152, 216)(14, 78, 142, 206, 25, 89, 153, 217)(15, 79, 143, 207, 26, 90, 154, 218)(18, 82, 146, 210, 30, 94, 158, 222)(19, 83, 147, 211, 31, 95, 159, 223)(20, 84, 148, 212, 32, 96, 160, 224)(23, 87, 151, 215, 35, 99, 163, 227)(27, 91, 155, 219, 40, 104, 168, 232)(28, 92, 156, 220, 41, 105, 169, 233)(29, 93, 157, 221, 42, 106, 170, 234)(33, 97, 161, 225, 47, 111, 175, 239)(34, 98, 162, 226, 48, 112, 176, 240)(36, 100, 164, 228, 49, 113, 177, 241)(37, 101, 165, 229, 50, 114, 178, 242)(38, 102, 166, 230, 51, 115, 179, 243)(39, 103, 167, 231, 52, 116, 180, 244)(43, 107, 171, 235, 55, 119, 183, 247)(44, 108, 172, 236, 56, 120, 184, 248)(45, 109, 173, 237, 57, 121, 185, 249)(46, 110, 174, 238, 58, 122, 186, 250)(53, 117, 181, 245, 61, 125, 189, 253)(54, 118, 182, 246, 62, 126, 190, 254)(59, 123, 187, 251, 63, 127, 191, 255)(60, 124, 188, 252, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 69)(4, 72)(5, 67)(6, 75)(7, 77)(8, 68)(9, 79)(10, 82)(11, 70)(12, 84)(13, 71)(14, 87)(15, 73)(16, 85)(17, 92)(18, 74)(19, 93)(20, 76)(21, 80)(22, 98)(23, 78)(24, 94)(25, 101)(26, 102)(27, 97)(28, 81)(29, 83)(30, 88)(31, 108)(32, 109)(33, 91)(34, 86)(35, 110)(36, 107)(37, 89)(38, 90)(39, 106)(40, 117)(41, 115)(42, 103)(43, 100)(44, 95)(45, 96)(46, 99)(47, 123)(48, 121)(49, 124)(50, 122)(51, 105)(52, 120)(53, 104)(54, 119)(55, 118)(56, 116)(57, 112)(58, 114)(59, 111)(60, 113)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 197)(131, 193)(132, 201)(133, 194)(134, 204)(135, 206)(136, 207)(137, 196)(138, 211)(139, 212)(140, 198)(141, 215)(142, 199)(143, 200)(144, 219)(145, 217)(146, 221)(147, 202)(148, 203)(149, 225)(150, 223)(151, 205)(152, 228)(153, 209)(154, 231)(155, 208)(156, 229)(157, 210)(158, 235)(159, 214)(160, 238)(161, 213)(162, 236)(163, 237)(164, 216)(165, 220)(166, 234)(167, 218)(168, 244)(169, 246)(170, 230)(171, 222)(172, 226)(173, 227)(174, 224)(175, 250)(176, 252)(177, 249)(178, 251)(179, 247)(180, 232)(181, 248)(182, 233)(183, 243)(184, 245)(185, 241)(186, 239)(187, 242)(188, 240)(189, 256)(190, 255)(191, 254)(192, 253)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.726
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.728 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3^-1 * Y1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 20, 84, 148, 212, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 23, 87, 151, 215, 10, 74, 138, 202)(6, 70, 134, 198, 16, 80, 144, 208, 34, 98, 162, 226, 17, 81, 145, 209)(11, 75, 139, 203, 24, 88, 152, 216, 45, 109, 173, 237, 25, 89, 153, 217)(12, 76, 140, 204, 26, 90, 154, 218, 46, 110, 174, 238, 27, 91, 155, 219)(14, 78, 142, 206, 30, 94, 158, 222, 51, 115, 179, 243, 31, 95, 159, 223)(15, 79, 143, 207, 32, 96, 160, 224, 52, 116, 180, 244, 33, 97, 161, 225)(18, 82, 146, 210, 35, 99, 163, 227, 53, 117, 181, 245, 36, 100, 164, 228)(19, 83, 147, 211, 37, 101, 165, 229, 54, 118, 182, 246, 38, 102, 166, 230)(21, 85, 149, 213, 41, 105, 169, 233, 59, 123, 187, 251, 42, 106, 170, 234)(22, 86, 150, 214, 43, 107, 171, 235, 60, 124, 188, 252, 44, 108, 172, 236)(28, 92, 156, 220, 47, 111, 175, 239, 61, 125, 189, 253, 48, 112, 176, 240)(29, 93, 157, 221, 49, 113, 177, 241, 62, 126, 190, 254, 50, 114, 178, 242)(39, 103, 167, 231, 55, 119, 183, 247, 63, 127, 191, 255, 56, 120, 184, 248)(40, 104, 168, 232, 57, 121, 185, 249, 64, 128, 192, 256, 58, 122, 186, 250)
	L = (1, 66)(2, 65)(3, 70)(4, 75)(5, 78)(6, 67)(7, 82)(8, 85)(9, 86)(10, 83)(11, 68)(12, 81)(13, 92)(14, 69)(15, 80)(16, 79)(17, 76)(18, 71)(19, 74)(20, 103)(21, 72)(22, 73)(23, 104)(24, 106)(25, 100)(26, 101)(27, 107)(28, 77)(29, 98)(30, 105)(31, 99)(32, 102)(33, 108)(34, 93)(35, 95)(36, 89)(37, 90)(38, 96)(39, 84)(40, 87)(41, 94)(42, 88)(43, 91)(44, 97)(45, 119)(46, 122)(47, 117)(48, 123)(49, 124)(50, 118)(51, 120)(52, 121)(53, 111)(54, 114)(55, 109)(56, 115)(57, 116)(58, 110)(59, 112)(60, 113)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 204)(133, 207)(134, 194)(135, 211)(136, 214)(137, 213)(138, 210)(139, 209)(140, 196)(141, 221)(142, 208)(143, 197)(144, 206)(145, 203)(146, 202)(147, 199)(148, 232)(149, 201)(150, 200)(151, 231)(152, 235)(153, 229)(154, 228)(155, 234)(156, 226)(157, 205)(158, 236)(159, 230)(160, 227)(161, 233)(162, 220)(163, 224)(164, 218)(165, 217)(166, 223)(167, 215)(168, 212)(169, 225)(170, 219)(171, 216)(172, 222)(173, 250)(174, 247)(175, 246)(176, 252)(177, 251)(178, 245)(179, 249)(180, 248)(181, 242)(182, 239)(183, 238)(184, 244)(185, 243)(186, 237)(187, 241)(188, 240)(189, 256)(190, 255)(191, 254)(192, 253)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.725
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 96
	degree seq :: [ 16^16 ]

E9.729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^4, (Y1 * Y3 * Y2 * Y1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 15, 79)(11, 75, 20, 84)(13, 77, 23, 87)(14, 78, 25, 89)(16, 80, 28, 92)(17, 81, 22, 86)(18, 82, 30, 94)(19, 83, 32, 96)(21, 85, 35, 99)(24, 88, 33, 97)(26, 90, 31, 95)(27, 91, 40, 104)(29, 93, 42, 106)(34, 98, 46, 110)(36, 100, 48, 112)(37, 101, 49, 113)(38, 102, 50, 114)(39, 103, 51, 115)(41, 105, 53, 117)(43, 107, 55, 119)(44, 108, 56, 120)(45, 109, 57, 121)(47, 111, 59, 123)(52, 116, 58, 122)(54, 118, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 136, 200)(134, 198, 139, 203)(135, 199, 141, 205)(137, 201, 144, 208)(138, 202, 146, 210)(140, 204, 149, 213)(142, 206, 152, 216)(143, 207, 154, 218)(145, 209, 157, 221)(147, 211, 159, 223)(148, 212, 161, 225)(150, 214, 164, 228)(151, 215, 165, 229)(153, 217, 167, 231)(155, 219, 169, 233)(156, 220, 166, 230)(158, 222, 171, 235)(160, 224, 173, 237)(162, 226, 175, 239)(163, 227, 172, 236)(168, 232, 180, 244)(170, 234, 181, 245)(174, 238, 186, 250)(176, 240, 187, 251)(177, 241, 189, 253)(178, 242, 188, 252)(179, 243, 190, 254)(182, 246, 184, 248)(183, 247, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 139)(6, 130)(7, 142)(8, 131)(9, 145)(10, 147)(11, 133)(12, 150)(13, 152)(14, 135)(15, 155)(16, 157)(17, 137)(18, 159)(19, 138)(20, 162)(21, 164)(22, 140)(23, 166)(24, 141)(25, 168)(26, 169)(27, 143)(28, 165)(29, 144)(30, 172)(31, 146)(32, 174)(33, 175)(34, 148)(35, 171)(36, 149)(37, 156)(38, 151)(39, 180)(40, 153)(41, 154)(42, 182)(43, 163)(44, 158)(45, 186)(46, 160)(47, 161)(48, 188)(49, 190)(50, 187)(51, 189)(52, 167)(53, 184)(54, 170)(55, 192)(56, 181)(57, 191)(58, 173)(59, 178)(60, 176)(61, 179)(62, 177)(63, 185)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.731
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^4, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 44, 108)(27, 91, 32, 96)(28, 92, 38, 102)(29, 93, 39, 103)(30, 94, 33, 97)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 58, 122)(43, 107, 55, 119)(45, 109, 53, 117)(46, 110, 59, 123)(47, 111, 60, 124)(48, 112, 52, 116)(49, 113, 56, 120)(50, 114, 57, 121)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 178, 242)(157, 221, 177, 241)(160, 224, 181, 245)(161, 225, 180, 244)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 188, 252)(167, 231, 187, 251)(169, 233, 182, 246)(172, 236, 179, 243)(174, 238, 190, 254)(175, 239, 189, 253)(184, 248, 192, 256)(185, 249, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 181)(42, 179)(43, 149)(44, 151)(45, 189)(46, 154)(47, 152)(48, 190)(49, 158)(50, 155)(51, 171)(52, 169)(53, 159)(54, 161)(55, 191)(56, 164)(57, 162)(58, 192)(59, 168)(60, 165)(61, 176)(62, 173)(63, 186)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.732
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 5, 69)(3, 67, 9, 73, 19, 83, 11, 75)(4, 68, 12, 76, 15, 79, 8, 72)(7, 71, 16, 80, 30, 94, 18, 82)(10, 74, 22, 86, 36, 100, 21, 85)(13, 77, 25, 89, 43, 107, 26, 90)(14, 78, 27, 91, 44, 108, 29, 93)(17, 81, 33, 97, 50, 114, 32, 96)(20, 84, 31, 95, 45, 109, 38, 102)(23, 87, 34, 98, 48, 112, 40, 104)(24, 88, 41, 105, 57, 121, 42, 106)(28, 92, 47, 111, 59, 123, 46, 110)(35, 99, 49, 113, 58, 122, 54, 118)(37, 101, 55, 119, 60, 124, 51, 115)(39, 103, 56, 120, 61, 125, 52, 116)(53, 117, 63, 127, 64, 128, 62, 126)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 141, 205)(134, 198, 142, 206)(136, 200, 145, 209)(137, 201, 148, 212)(139, 203, 151, 215)(140, 204, 152, 216)(143, 207, 156, 220)(144, 208, 159, 223)(146, 210, 162, 226)(147, 211, 163, 227)(149, 213, 165, 229)(150, 214, 167, 231)(153, 217, 166, 230)(154, 218, 168, 232)(155, 219, 173, 237)(157, 221, 176, 240)(158, 222, 177, 241)(160, 224, 179, 243)(161, 225, 180, 244)(164, 228, 181, 245)(169, 233, 184, 248)(170, 234, 183, 247)(171, 235, 182, 246)(172, 236, 186, 250)(174, 238, 188, 252)(175, 239, 189, 253)(178, 242, 190, 254)(185, 249, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 140)(6, 143)(7, 145)(8, 130)(9, 149)(10, 131)(11, 150)(12, 133)(13, 152)(14, 156)(15, 134)(16, 160)(17, 135)(18, 161)(19, 164)(20, 165)(21, 137)(22, 139)(23, 167)(24, 141)(25, 170)(26, 169)(27, 174)(28, 142)(29, 175)(30, 178)(31, 179)(32, 144)(33, 146)(34, 180)(35, 181)(36, 147)(37, 148)(38, 183)(39, 151)(40, 184)(41, 154)(42, 153)(43, 185)(44, 187)(45, 188)(46, 155)(47, 157)(48, 189)(49, 190)(50, 158)(51, 159)(52, 162)(53, 163)(54, 191)(55, 166)(56, 168)(57, 171)(58, 192)(59, 172)(60, 173)(61, 176)(62, 177)(63, 182)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.729
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.732 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3^-2 * Y1^2 * Y2 * Y1^-2, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 27, 91, 13, 77)(4, 68, 15, 79, 20, 84, 10, 74)(6, 70, 18, 82, 21, 85, 9, 73)(8, 72, 22, 86, 45, 109, 24, 88)(12, 76, 31, 95, 43, 107, 30, 94)(14, 78, 34, 98, 41, 105, 29, 93)(16, 80, 26, 90, 44, 108, 36, 100)(17, 81, 37, 101, 50, 114, 38, 102)(19, 83, 40, 104, 32, 96, 42, 106)(23, 87, 49, 113, 39, 103, 48, 112)(25, 89, 52, 116, 35, 99, 47, 111)(28, 92, 46, 110, 59, 123, 54, 118)(33, 97, 51, 115, 60, 124, 57, 121)(53, 117, 63, 127, 58, 122, 62, 126)(55, 119, 64, 128, 56, 120, 61, 125)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 147, 211)(137, 201, 153, 217)(138, 202, 151, 215)(139, 203, 156, 220)(141, 205, 161, 225)(143, 207, 163, 227)(144, 208, 160, 224)(146, 210, 167, 231)(148, 212, 171, 235)(149, 213, 169, 233)(150, 214, 174, 238)(152, 216, 179, 243)(154, 218, 178, 242)(155, 219, 172, 236)(157, 221, 183, 247)(158, 222, 181, 245)(159, 223, 184, 248)(162, 226, 186, 250)(164, 228, 173, 237)(165, 229, 182, 246)(166, 230, 185, 249)(168, 232, 187, 251)(170, 234, 188, 252)(175, 239, 190, 254)(176, 240, 189, 253)(177, 241, 191, 255)(180, 244, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 148)(8, 151)(9, 154)(10, 130)(11, 157)(12, 160)(13, 162)(14, 131)(15, 133)(16, 134)(17, 163)(18, 164)(19, 169)(20, 172)(21, 135)(22, 175)(23, 178)(24, 180)(25, 136)(26, 138)(27, 171)(28, 181)(29, 170)(30, 139)(31, 141)(32, 142)(33, 184)(34, 168)(35, 173)(36, 143)(37, 177)(38, 176)(39, 145)(40, 159)(41, 155)(42, 158)(43, 147)(44, 149)(45, 167)(46, 189)(47, 166)(48, 150)(49, 152)(50, 153)(51, 191)(52, 165)(53, 188)(54, 192)(55, 156)(56, 187)(57, 190)(58, 161)(59, 186)(60, 183)(61, 185)(62, 174)(63, 182)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.730
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.733 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 16, 80)(11, 75, 25, 89)(13, 77, 27, 91)(17, 81, 35, 99)(19, 83, 37, 101)(21, 85, 31, 95)(22, 86, 32, 96)(23, 87, 43, 107)(24, 88, 44, 108)(26, 90, 40, 104)(28, 92, 38, 102)(29, 93, 39, 103)(30, 94, 36, 100)(33, 97, 53, 117)(34, 98, 54, 118)(41, 105, 58, 122)(42, 106, 57, 121)(45, 109, 60, 124)(46, 110, 59, 123)(47, 111, 52, 116)(48, 112, 51, 115)(49, 113, 56, 120)(50, 114, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 149, 213)(140, 204, 151, 215)(141, 205, 152, 216)(142, 206, 156, 220)(143, 207, 159, 223)(146, 210, 161, 225)(147, 211, 162, 226)(148, 212, 166, 230)(150, 214, 169, 233)(153, 217, 173, 237)(154, 218, 170, 234)(155, 219, 175, 239)(157, 221, 177, 241)(158, 222, 172, 236)(160, 224, 179, 243)(163, 227, 183, 247)(164, 228, 180, 244)(165, 229, 185, 249)(167, 231, 187, 251)(168, 232, 182, 246)(171, 235, 188, 252)(174, 238, 189, 253)(176, 240, 190, 254)(178, 242, 181, 245)(184, 248, 191, 255)(186, 250, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 152)(11, 131)(12, 154)(13, 133)(14, 157)(15, 160)(16, 162)(17, 134)(18, 164)(19, 136)(20, 167)(21, 140)(22, 170)(23, 137)(24, 139)(25, 174)(26, 169)(27, 176)(28, 172)(29, 178)(30, 142)(31, 146)(32, 180)(33, 143)(34, 145)(35, 184)(36, 179)(37, 186)(38, 182)(39, 188)(40, 148)(41, 149)(42, 151)(43, 187)(44, 181)(45, 155)(46, 190)(47, 153)(48, 189)(49, 156)(50, 158)(51, 159)(52, 161)(53, 177)(54, 171)(55, 165)(56, 192)(57, 163)(58, 191)(59, 166)(60, 168)(61, 173)(62, 175)(63, 183)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.736
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 17, 81)(13, 77, 29, 93)(16, 80, 34, 98)(19, 83, 39, 103)(21, 85, 31, 95)(22, 86, 42, 106)(23, 87, 33, 97)(25, 89, 47, 111)(26, 90, 36, 100)(27, 91, 40, 104)(28, 92, 38, 102)(30, 94, 37, 101)(32, 96, 52, 116)(35, 99, 57, 121)(41, 105, 60, 124)(43, 107, 55, 119)(44, 108, 59, 123)(45, 109, 53, 117)(46, 110, 58, 122)(48, 112, 56, 120)(49, 113, 54, 118)(50, 114, 51, 115)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 149, 213)(140, 204, 154, 218)(141, 205, 153, 217)(142, 206, 150, 214)(143, 207, 159, 223)(146, 210, 164, 228)(147, 211, 163, 227)(148, 212, 160, 224)(151, 215, 169, 233)(152, 216, 172, 236)(155, 219, 175, 239)(156, 220, 176, 240)(157, 221, 173, 237)(158, 222, 171, 235)(161, 225, 179, 243)(162, 226, 182, 246)(165, 229, 185, 249)(166, 230, 186, 250)(167, 231, 183, 247)(168, 232, 181, 245)(170, 234, 187, 251)(174, 238, 189, 253)(177, 241, 180, 244)(178, 242, 190, 254)(184, 248, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 155)(13, 133)(14, 149)(15, 160)(16, 163)(17, 134)(18, 165)(19, 136)(20, 159)(21, 169)(22, 171)(23, 137)(24, 173)(25, 139)(26, 176)(27, 177)(28, 140)(29, 172)(30, 142)(31, 179)(32, 181)(33, 143)(34, 183)(35, 145)(36, 186)(37, 187)(38, 146)(39, 182)(40, 148)(41, 158)(42, 185)(43, 151)(44, 189)(45, 190)(46, 152)(47, 154)(48, 180)(49, 156)(50, 157)(51, 168)(52, 175)(53, 161)(54, 191)(55, 192)(56, 162)(57, 164)(58, 170)(59, 166)(60, 167)(61, 178)(62, 174)(63, 188)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.735
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^4, (Y2 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 5, 69)(3, 67, 9, 73, 19, 83, 11, 75)(4, 68, 12, 76, 15, 79, 8, 72)(7, 71, 16, 80, 30, 94, 18, 82)(10, 74, 22, 86, 36, 100, 21, 85)(13, 77, 25, 89, 43, 107, 26, 90)(14, 78, 27, 91, 44, 108, 29, 93)(17, 81, 33, 97, 50, 114, 32, 96)(20, 84, 37, 101, 45, 109, 34, 98)(23, 87, 40, 104, 48, 112, 31, 95)(24, 88, 41, 105, 57, 121, 42, 106)(28, 92, 47, 111, 59, 123, 46, 110)(35, 99, 49, 113, 58, 122, 54, 118)(38, 102, 52, 116, 60, 124, 55, 119)(39, 103, 51, 115, 61, 125, 56, 120)(53, 117, 63, 127, 64, 128, 62, 126)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 141, 205)(134, 198, 142, 206)(136, 200, 145, 209)(137, 201, 148, 212)(139, 203, 151, 215)(140, 204, 152, 216)(143, 207, 156, 220)(144, 208, 159, 223)(146, 210, 162, 226)(147, 211, 163, 227)(149, 213, 166, 230)(150, 214, 167, 231)(153, 217, 168, 232)(154, 218, 165, 229)(155, 219, 173, 237)(157, 221, 176, 240)(158, 222, 177, 241)(160, 224, 179, 243)(161, 225, 180, 244)(164, 228, 181, 245)(169, 233, 183, 247)(170, 234, 184, 248)(171, 235, 182, 246)(172, 236, 186, 250)(174, 238, 188, 252)(175, 239, 189, 253)(178, 242, 190, 254)(185, 249, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 140)(6, 143)(7, 145)(8, 130)(9, 149)(10, 131)(11, 150)(12, 133)(13, 152)(14, 156)(15, 134)(16, 160)(17, 135)(18, 161)(19, 164)(20, 166)(21, 137)(22, 139)(23, 167)(24, 141)(25, 170)(26, 169)(27, 174)(28, 142)(29, 175)(30, 178)(31, 179)(32, 144)(33, 146)(34, 180)(35, 181)(36, 147)(37, 183)(38, 148)(39, 151)(40, 184)(41, 154)(42, 153)(43, 185)(44, 187)(45, 188)(46, 155)(47, 157)(48, 189)(49, 190)(50, 158)(51, 159)(52, 162)(53, 163)(54, 191)(55, 165)(56, 168)(57, 171)(58, 192)(59, 172)(60, 173)(61, 176)(62, 177)(63, 182)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.734
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3^4, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-1)^4, Y2 * Y3^-2 * Y1^2 * Y2 * Y1^-2, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 27, 91, 13, 77)(4, 68, 15, 79, 20, 84, 10, 74)(6, 70, 18, 82, 21, 85, 9, 73)(8, 72, 22, 86, 45, 109, 24, 88)(12, 76, 31, 95, 43, 107, 30, 94)(14, 78, 34, 98, 41, 105, 29, 93)(16, 80, 26, 90, 44, 108, 36, 100)(17, 81, 37, 101, 50, 114, 38, 102)(19, 83, 40, 104, 32, 96, 42, 106)(23, 87, 49, 113, 39, 103, 48, 112)(25, 89, 52, 116, 35, 99, 47, 111)(28, 92, 53, 117, 59, 123, 51, 115)(33, 97, 57, 121, 60, 124, 46, 110)(54, 118, 64, 128, 58, 122, 61, 125)(55, 119, 63, 127, 56, 120, 62, 126)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 147, 211)(137, 201, 153, 217)(138, 202, 151, 215)(139, 203, 156, 220)(141, 205, 161, 225)(143, 207, 163, 227)(144, 208, 160, 224)(146, 210, 167, 231)(148, 212, 171, 235)(149, 213, 169, 233)(150, 214, 174, 238)(152, 216, 179, 243)(154, 218, 178, 242)(155, 219, 172, 236)(157, 221, 183, 247)(158, 222, 182, 246)(159, 223, 184, 248)(162, 226, 186, 250)(164, 228, 173, 237)(165, 229, 185, 249)(166, 230, 181, 245)(168, 232, 187, 251)(170, 234, 188, 252)(175, 239, 190, 254)(176, 240, 189, 253)(177, 241, 191, 255)(180, 244, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 148)(8, 151)(9, 154)(10, 130)(11, 157)(12, 160)(13, 162)(14, 131)(15, 133)(16, 134)(17, 163)(18, 164)(19, 169)(20, 172)(21, 135)(22, 175)(23, 178)(24, 180)(25, 136)(26, 138)(27, 171)(28, 182)(29, 170)(30, 139)(31, 141)(32, 142)(33, 184)(34, 168)(35, 173)(36, 143)(37, 177)(38, 176)(39, 145)(40, 159)(41, 155)(42, 158)(43, 147)(44, 149)(45, 167)(46, 189)(47, 166)(48, 150)(49, 152)(50, 153)(51, 191)(52, 165)(53, 190)(54, 188)(55, 156)(56, 187)(57, 192)(58, 161)(59, 186)(60, 183)(61, 181)(62, 174)(63, 185)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.733
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.737 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^4, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 65)(3, 71, 7, 67)(4, 73, 9, 68)(5, 75, 11, 69)(6, 77, 13, 70)(8, 76, 12, 72)(10, 78, 14, 74)(15, 89, 25, 79)(16, 90, 26, 80)(17, 91, 27, 81)(18, 93, 29, 82)(19, 94, 30, 83)(20, 95, 31, 84)(21, 96, 32, 85)(22, 97, 33, 86)(23, 99, 35, 87)(24, 100, 36, 88)(28, 98, 34, 92)(37, 111, 47, 101)(38, 112, 48, 102)(39, 113, 49, 103)(40, 114, 50, 104)(41, 115, 51, 105)(42, 116, 52, 106)(43, 117, 53, 107)(44, 118, 54, 108)(45, 119, 55, 109)(46, 120, 56, 110)(57, 125, 61, 121)(58, 126, 62, 122)(59, 127, 63, 123)(60, 128, 64, 124)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 28)(21, 33)(24, 34)(25, 37)(26, 39)(29, 38)(30, 40)(31, 42)(32, 44)(35, 43)(36, 45)(41, 50)(46, 55)(47, 57)(48, 59)(49, 58)(51, 60)(52, 61)(53, 63)(54, 62)(56, 64)(65, 68)(66, 70)(67, 72)(69, 76)(71, 80)(73, 79)(74, 83)(75, 85)(77, 84)(78, 88)(81, 92)(82, 94)(86, 98)(87, 100)(89, 102)(90, 101)(91, 104)(93, 105)(95, 107)(96, 106)(97, 109)(99, 110)(103, 114)(108, 119)(111, 122)(112, 121)(113, 124)(115, 123)(116, 126)(117, 125)(118, 128)(120, 127)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.738
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.738 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, Y1^4, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 84, 20, 77, 13, 87, 23, 74)(25, 97, 33, 91, 27, 98, 34, 89)(26, 99, 35, 92, 28, 100, 36, 90)(29, 101, 37, 95, 31, 102, 38, 93)(30, 103, 39, 96, 32, 104, 40, 94)(41, 113, 49, 107, 43, 114, 50, 105)(42, 115, 51, 108, 44, 116, 52, 106)(45, 117, 53, 111, 47, 118, 54, 109)(46, 119, 55, 112, 48, 120, 56, 110)(57, 125, 61, 123, 59, 127, 63, 121)(58, 126, 62, 124, 60, 128, 64, 122)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 28)(14, 26)(16, 20)(19, 29)(21, 31)(22, 32)(24, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 92)(76, 89)(77, 81)(78, 91)(79, 87)(83, 94)(85, 96)(86, 93)(88, 95)(97, 106)(98, 108)(99, 105)(100, 107)(101, 110)(102, 112)(103, 109)(104, 111)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.737
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.739 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, (Y3 * Y2)^8 ]
Map:: polytopal
	R = (1, 65, 4, 68)(2, 66, 6, 70)(3, 67, 8, 72)(5, 69, 12, 76)(7, 71, 16, 80)(9, 73, 18, 82)(10, 74, 19, 83)(11, 75, 21, 85)(13, 77, 23, 87)(14, 78, 24, 88)(15, 79, 25, 89)(17, 81, 27, 91)(20, 84, 31, 95)(22, 86, 33, 97)(26, 90, 37, 101)(28, 92, 39, 103)(29, 93, 40, 104)(30, 94, 41, 105)(32, 96, 42, 106)(34, 98, 44, 108)(35, 99, 45, 109)(36, 100, 46, 110)(38, 102, 47, 111)(43, 107, 52, 116)(48, 112, 57, 121)(49, 113, 58, 122)(50, 114, 59, 123)(51, 115, 60, 124)(53, 117, 61, 125)(54, 118, 62, 126)(55, 119, 63, 127)(56, 120, 64, 128)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 144)(140, 150)(142, 149)(143, 148)(146, 156)(147, 158)(151, 162)(152, 164)(153, 160)(154, 159)(155, 163)(157, 161)(165, 171)(166, 170)(167, 176)(168, 178)(169, 177)(172, 181)(173, 183)(174, 182)(175, 184)(179, 180)(185, 189)(186, 191)(187, 190)(188, 192)(193, 195)(194, 197)(196, 202)(198, 206)(199, 207)(200, 205)(201, 204)(203, 212)(208, 218)(209, 217)(210, 221)(211, 220)(213, 224)(214, 223)(215, 227)(216, 226)(219, 230)(222, 229)(225, 235)(228, 234)(231, 241)(232, 240)(233, 243)(236, 246)(237, 245)(238, 248)(239, 247)(242, 244)(249, 254)(250, 253)(251, 256)(252, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E9.742
Graph:: simple bipartite
	v = 96 e = 128 f = 16
	degree seq :: [ 2^64, 4^32 ]

E9.740 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3^2 * Y2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 17, 81, 11, 75)(6, 70, 18, 82, 9, 73, 19, 83)(12, 76, 25, 89, 15, 79, 26, 90)(13, 77, 27, 91, 16, 80, 28, 92)(20, 84, 29, 93, 23, 87, 30, 94)(21, 85, 31, 95, 24, 88, 32, 96)(33, 97, 41, 105, 35, 99, 42, 106)(34, 98, 43, 107, 36, 100, 44, 108)(37, 101, 45, 109, 39, 103, 46, 110)(38, 102, 47, 111, 40, 104, 48, 112)(49, 113, 57, 121, 51, 115, 58, 122)(50, 114, 59, 123, 52, 116, 60, 124)(53, 117, 61, 125, 55, 119, 62, 126)(54, 118, 63, 127, 56, 120, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 152)(139, 149)(141, 147)(142, 150)(144, 146)(153, 161)(154, 163)(155, 164)(156, 162)(157, 165)(158, 167)(159, 168)(160, 166)(169, 177)(170, 179)(171, 180)(172, 178)(173, 181)(174, 183)(175, 184)(176, 182)(185, 189)(186, 190)(187, 192)(188, 191)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 214)(202, 212)(203, 215)(204, 210)(206, 209)(207, 211)(217, 226)(218, 228)(219, 225)(220, 227)(221, 230)(222, 232)(223, 229)(224, 231)(233, 242)(234, 244)(235, 241)(236, 243)(237, 246)(238, 248)(239, 245)(240, 247)(249, 255)(250, 256)(251, 253)(252, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.741
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.741 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, (Y3 * Y2)^8 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 6, 70, 134, 198)(3, 67, 131, 195, 8, 72, 136, 200)(5, 69, 133, 197, 12, 76, 140, 204)(7, 71, 135, 199, 16, 80, 144, 208)(9, 73, 137, 201, 18, 82, 146, 210)(10, 74, 138, 202, 19, 83, 147, 211)(11, 75, 139, 203, 21, 85, 149, 213)(13, 77, 141, 205, 23, 87, 151, 215)(14, 78, 142, 206, 24, 88, 152, 216)(15, 79, 143, 207, 25, 89, 153, 217)(17, 81, 145, 209, 27, 91, 155, 219)(20, 84, 148, 212, 31, 95, 159, 223)(22, 86, 150, 214, 33, 97, 161, 225)(26, 90, 154, 218, 37, 101, 165, 229)(28, 92, 156, 220, 39, 103, 167, 231)(29, 93, 157, 221, 40, 104, 168, 232)(30, 94, 158, 222, 41, 105, 169, 233)(32, 96, 160, 224, 42, 106, 170, 234)(34, 98, 162, 226, 44, 108, 172, 236)(35, 99, 163, 227, 45, 109, 173, 237)(36, 100, 164, 228, 46, 110, 174, 238)(38, 102, 166, 230, 47, 111, 175, 239)(43, 107, 171, 235, 52, 116, 180, 244)(48, 112, 176, 240, 57, 121, 185, 249)(49, 113, 177, 241, 58, 122, 186, 250)(50, 114, 178, 242, 59, 123, 187, 251)(51, 115, 179, 243, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253)(54, 118, 182, 246, 62, 126, 190, 254)(55, 119, 183, 247, 63, 127, 191, 255)(56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 81)(9, 68)(10, 80)(11, 69)(12, 86)(13, 70)(14, 85)(15, 84)(16, 74)(17, 72)(18, 92)(19, 94)(20, 79)(21, 78)(22, 76)(23, 98)(24, 100)(25, 96)(26, 95)(27, 99)(28, 82)(29, 97)(30, 83)(31, 90)(32, 89)(33, 93)(34, 87)(35, 91)(36, 88)(37, 107)(38, 106)(39, 112)(40, 114)(41, 113)(42, 102)(43, 101)(44, 117)(45, 119)(46, 118)(47, 120)(48, 103)(49, 105)(50, 104)(51, 116)(52, 115)(53, 108)(54, 110)(55, 109)(56, 111)(57, 125)(58, 127)(59, 126)(60, 128)(61, 121)(62, 123)(63, 122)(64, 124)(129, 195)(130, 197)(131, 193)(132, 202)(133, 194)(134, 206)(135, 207)(136, 205)(137, 204)(138, 196)(139, 212)(140, 201)(141, 200)(142, 198)(143, 199)(144, 218)(145, 217)(146, 221)(147, 220)(148, 203)(149, 224)(150, 223)(151, 227)(152, 226)(153, 209)(154, 208)(155, 230)(156, 211)(157, 210)(158, 229)(159, 214)(160, 213)(161, 235)(162, 216)(163, 215)(164, 234)(165, 222)(166, 219)(167, 241)(168, 240)(169, 243)(170, 228)(171, 225)(172, 246)(173, 245)(174, 248)(175, 247)(176, 232)(177, 231)(178, 244)(179, 233)(180, 242)(181, 237)(182, 236)(183, 239)(184, 238)(185, 254)(186, 253)(187, 256)(188, 255)(189, 250)(190, 249)(191, 252)(192, 251)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.740
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.742 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3^2 * Y2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 17, 81, 145, 209, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 9, 73, 137, 201, 19, 83, 147, 211)(12, 76, 140, 204, 25, 89, 153, 217, 15, 79, 143, 207, 26, 90, 154, 218)(13, 77, 141, 205, 27, 91, 155, 219, 16, 80, 144, 208, 28, 92, 156, 220)(20, 84, 148, 212, 29, 93, 157, 221, 23, 87, 151, 215, 30, 94, 158, 222)(21, 85, 149, 213, 31, 95, 159, 223, 24, 88, 152, 216, 32, 96, 160, 224)(33, 97, 161, 225, 41, 105, 169, 233, 35, 99, 163, 227, 42, 106, 170, 234)(34, 98, 162, 226, 43, 107, 171, 235, 36, 100, 164, 228, 44, 108, 172, 236)(37, 101, 165, 229, 45, 109, 173, 237, 39, 103, 167, 231, 46, 110, 174, 238)(38, 102, 166, 230, 47, 111, 175, 239, 40, 104, 168, 232, 48, 112, 176, 240)(49, 113, 177, 241, 57, 121, 185, 249, 51, 115, 179, 243, 58, 122, 186, 250)(50, 114, 178, 242, 59, 123, 187, 251, 52, 116, 180, 244, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253, 55, 119, 183, 247, 62, 126, 190, 254)(54, 118, 182, 246, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 88)(11, 85)(12, 68)(13, 83)(14, 86)(15, 69)(16, 82)(17, 70)(18, 80)(19, 77)(20, 71)(21, 75)(22, 78)(23, 72)(24, 74)(25, 97)(26, 99)(27, 100)(28, 98)(29, 101)(30, 103)(31, 104)(32, 102)(33, 89)(34, 92)(35, 90)(36, 91)(37, 93)(38, 96)(39, 94)(40, 95)(41, 113)(42, 115)(43, 116)(44, 114)(45, 117)(46, 119)(47, 120)(48, 118)(49, 105)(50, 108)(51, 106)(52, 107)(53, 109)(54, 112)(55, 110)(56, 111)(57, 125)(58, 126)(59, 128)(60, 127)(61, 121)(62, 122)(63, 124)(64, 123)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 214)(138, 212)(139, 215)(140, 210)(141, 196)(142, 209)(143, 211)(144, 197)(145, 206)(146, 204)(147, 207)(148, 202)(149, 199)(150, 201)(151, 203)(152, 200)(153, 226)(154, 228)(155, 225)(156, 227)(157, 230)(158, 232)(159, 229)(160, 231)(161, 219)(162, 217)(163, 220)(164, 218)(165, 223)(166, 221)(167, 224)(168, 222)(169, 242)(170, 244)(171, 241)(172, 243)(173, 246)(174, 248)(175, 245)(176, 247)(177, 235)(178, 233)(179, 236)(180, 234)(181, 239)(182, 237)(183, 240)(184, 238)(185, 255)(186, 256)(187, 253)(188, 254)(189, 251)(190, 252)(191, 249)(192, 250)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.739
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 96
	degree seq :: [ 16^16 ]

E9.743 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y3, (R * Y1)^2, (Y1 * Y3 * Y1 * Y3 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 65)(3, 71, 7, 67)(4, 73, 9, 68)(5, 74, 10, 69)(6, 76, 12, 70)(8, 79, 15, 72)(11, 84, 20, 75)(13, 87, 23, 77)(14, 89, 25, 78)(16, 92, 28, 80)(17, 94, 30, 81)(18, 95, 31, 82)(19, 97, 33, 83)(21, 100, 36, 85)(22, 102, 38, 86)(24, 98, 34, 88)(26, 96, 32, 90)(27, 101, 37, 91)(29, 99, 35, 93)(39, 113, 49, 103)(40, 114, 50, 104)(41, 115, 51, 105)(42, 116, 52, 106)(43, 112, 48, 107)(44, 117, 53, 108)(45, 118, 54, 109)(46, 119, 55, 110)(47, 120, 56, 111)(57, 128, 64, 121)(58, 126, 62, 122)(59, 127, 63, 123)(60, 125, 61, 124)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 41)(27, 43)(28, 40)(30, 42)(31, 44)(33, 46)(35, 48)(36, 45)(38, 47)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 68)(66, 70)(67, 72)(69, 75)(71, 78)(73, 81)(74, 83)(76, 86)(77, 88)(79, 91)(80, 93)(82, 96)(84, 99)(85, 101)(87, 104)(89, 106)(90, 107)(92, 103)(94, 105)(95, 109)(97, 111)(98, 112)(100, 108)(102, 110)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.745
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.744 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 65)(3, 71, 7, 67)(4, 73, 9, 68)(5, 75, 11, 69)(6, 77, 13, 70)(8, 76, 12, 72)(10, 78, 14, 74)(15, 89, 25, 79)(16, 90, 26, 80)(17, 91, 27, 81)(18, 93, 29, 82)(19, 94, 30, 83)(20, 95, 31, 84)(21, 96, 32, 85)(22, 97, 33, 86)(23, 99, 35, 87)(24, 100, 36, 88)(28, 98, 34, 92)(37, 111, 47, 101)(38, 112, 48, 102)(39, 113, 49, 103)(40, 114, 50, 104)(41, 115, 51, 105)(42, 116, 52, 106)(43, 117, 53, 107)(44, 118, 54, 108)(45, 119, 55, 109)(46, 120, 56, 110)(57, 128, 64, 121)(58, 127, 63, 122)(59, 126, 62, 123)(60, 125, 61, 124)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 28)(21, 33)(24, 34)(25, 37)(26, 39)(29, 38)(30, 40)(31, 42)(32, 44)(35, 43)(36, 45)(41, 50)(46, 55)(47, 57)(48, 59)(49, 58)(51, 60)(52, 61)(53, 63)(54, 62)(56, 64)(65, 68)(66, 70)(67, 72)(69, 76)(71, 80)(73, 79)(74, 83)(75, 85)(77, 84)(78, 88)(81, 92)(82, 94)(86, 98)(87, 100)(89, 102)(90, 101)(91, 104)(93, 105)(95, 107)(96, 106)(97, 109)(99, 110)(103, 114)(108, 119)(111, 122)(112, 121)(113, 124)(115, 123)(116, 126)(117, 125)(118, 128)(120, 127)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.746
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.745 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^4, (R * Y1)^2, R * Y2 * R * Y3, (Y3 * Y2)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y2)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 80, 16, 75, 11, 67)(4, 76, 12, 81, 17, 77, 13, 68)(7, 82, 18, 78, 14, 84, 20, 71)(8, 85, 21, 79, 15, 86, 22, 72)(10, 89, 25, 92, 28, 83, 19, 74)(23, 97, 33, 90, 26, 98, 34, 87)(24, 99, 35, 91, 27, 100, 36, 88)(29, 101, 37, 95, 31, 102, 38, 93)(30, 103, 39, 96, 32, 104, 40, 94)(41, 113, 49, 107, 43, 114, 50, 105)(42, 115, 51, 108, 44, 116, 52, 106)(45, 117, 53, 111, 47, 118, 54, 109)(46, 119, 55, 112, 48, 120, 56, 110)(57, 127, 63, 123, 59, 125, 61, 121)(58, 126, 62, 124, 60, 128, 64, 122)
	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, 68)(66, 72)(67, 74)(69, 79)(70, 81)(71, 83)(73, 88)(75, 91)(76, 90)(77, 87)(78, 89)(80, 92)(82, 94)(84, 96)(85, 95)(86, 93)(97, 106)(98, 108)(99, 107)(100, 105)(101, 110)(102, 112)(103, 111)(104, 109)(113, 122)(114, 124)(115, 123)(116, 121)(117, 126)(118, 128)(119, 127)(120, 125)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.743
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.746 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^4, R * Y2 * R * Y3, (R * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1^-2 * Y2, (Y1^-1 * Y2 * Y3)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 84, 20, 77, 13, 87, 23, 74)(25, 97, 33, 91, 27, 98, 34, 89)(26, 99, 35, 92, 28, 100, 36, 90)(29, 101, 37, 95, 31, 102, 38, 93)(30, 103, 39, 96, 32, 104, 40, 94)(41, 113, 49, 107, 43, 114, 50, 105)(42, 115, 51, 108, 44, 116, 52, 106)(45, 117, 53, 111, 47, 118, 54, 109)(46, 119, 55, 112, 48, 120, 56, 110)(57, 127, 63, 123, 59, 125, 61, 121)(58, 128, 64, 124, 60, 126, 62, 122)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 28)(14, 26)(16, 20)(19, 29)(21, 31)(22, 32)(24, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 92)(76, 89)(77, 81)(78, 91)(79, 87)(83, 94)(85, 96)(86, 93)(88, 95)(97, 106)(98, 108)(99, 105)(100, 107)(101, 110)(102, 112)(103, 109)(104, 111)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.744
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.747 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3 * Y1 * Y3 * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 65, 4, 68)(2, 66, 6, 70)(3, 67, 7, 71)(5, 69, 10, 74)(8, 72, 16, 80)(9, 73, 17, 81)(11, 75, 21, 85)(12, 76, 22, 86)(13, 77, 24, 88)(14, 78, 25, 89)(15, 79, 26, 90)(18, 82, 32, 96)(19, 83, 33, 97)(20, 84, 34, 98)(23, 87, 39, 103)(27, 91, 40, 104)(28, 92, 41, 105)(29, 93, 42, 106)(30, 94, 43, 107)(31, 95, 44, 108)(35, 99, 45, 109)(36, 100, 46, 110)(37, 101, 47, 111)(38, 102, 48, 112)(49, 113, 57, 121)(50, 114, 58, 122)(51, 115, 59, 123)(52, 116, 60, 124)(53, 117, 61, 125)(54, 118, 62, 126)(55, 119, 63, 127)(56, 120, 64, 128)(129, 130)(131, 133)(132, 136)(134, 139)(135, 141)(137, 143)(138, 146)(140, 148)(142, 151)(144, 155)(145, 157)(147, 159)(149, 163)(150, 165)(152, 164)(153, 166)(154, 162)(156, 160)(158, 161)(167, 172)(168, 177)(169, 179)(170, 178)(171, 180)(173, 181)(174, 183)(175, 182)(176, 184)(185, 192)(186, 191)(187, 190)(188, 189)(193, 195)(194, 197)(196, 201)(198, 204)(199, 206)(200, 207)(202, 211)(203, 212)(205, 215)(208, 220)(209, 222)(210, 223)(213, 228)(214, 230)(216, 227)(217, 229)(218, 231)(219, 224)(221, 225)(226, 236)(232, 242)(233, 244)(234, 241)(235, 243)(237, 246)(238, 248)(239, 245)(240, 247)(249, 254)(250, 253)(251, 256)(252, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E9.753
Graph:: simple bipartite
	v = 96 e = 128 f = 16
	degree seq :: [ 2^64, 4^32 ]

E9.748 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 65, 4, 68)(2, 66, 6, 70)(3, 67, 8, 72)(5, 69, 12, 76)(7, 71, 16, 80)(9, 73, 18, 82)(10, 74, 19, 83)(11, 75, 21, 85)(13, 77, 23, 87)(14, 78, 24, 88)(15, 79, 25, 89)(17, 81, 27, 91)(20, 84, 31, 95)(22, 86, 33, 97)(26, 90, 37, 101)(28, 92, 39, 103)(29, 93, 40, 104)(30, 94, 41, 105)(32, 96, 42, 106)(34, 98, 44, 108)(35, 99, 45, 109)(36, 100, 46, 110)(38, 102, 47, 111)(43, 107, 52, 116)(48, 112, 57, 121)(49, 113, 58, 122)(50, 114, 59, 123)(51, 115, 60, 124)(53, 117, 61, 125)(54, 118, 62, 126)(55, 119, 63, 127)(56, 120, 64, 128)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 144)(140, 150)(142, 149)(143, 148)(146, 156)(147, 158)(151, 162)(152, 164)(153, 160)(154, 159)(155, 163)(157, 161)(165, 171)(166, 170)(167, 176)(168, 178)(169, 177)(172, 181)(173, 183)(174, 182)(175, 184)(179, 180)(185, 192)(186, 190)(187, 191)(188, 189)(193, 195)(194, 197)(196, 202)(198, 206)(199, 207)(200, 205)(201, 204)(203, 212)(208, 218)(209, 217)(210, 221)(211, 220)(213, 224)(214, 223)(215, 227)(216, 226)(219, 230)(222, 229)(225, 235)(228, 234)(231, 241)(232, 240)(233, 243)(236, 246)(237, 245)(238, 248)(239, 247)(242, 244)(249, 255)(250, 256)(251, 253)(252, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E9.754
Graph:: simple bipartite
	v = 96 e = 128 f = 16
	degree seq :: [ 2^64, 4^32 ]

E9.749 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 20, 84, 8, 72)(3, 67, 9, 73, 23, 87, 10, 74)(6, 70, 16, 80, 28, 92, 17, 81)(11, 75, 24, 88, 14, 78, 25, 89)(12, 76, 26, 90, 15, 79, 27, 91)(18, 82, 29, 93, 21, 85, 30, 94)(19, 83, 31, 95, 22, 86, 32, 96)(33, 97, 41, 105, 35, 99, 42, 106)(34, 98, 43, 107, 36, 100, 44, 108)(37, 101, 45, 109, 39, 103, 46, 110)(38, 102, 47, 111, 40, 104, 48, 112)(49, 113, 57, 121, 51, 115, 58, 122)(50, 114, 59, 123, 52, 116, 60, 124)(53, 117, 61, 125, 55, 119, 62, 126)(54, 118, 63, 127, 56, 120, 64, 128)(129, 130)(131, 134)(132, 139)(133, 142)(135, 146)(136, 149)(137, 150)(138, 147)(140, 145)(141, 148)(143, 144)(151, 156)(152, 161)(153, 163)(154, 164)(155, 162)(157, 165)(158, 167)(159, 168)(160, 166)(169, 177)(170, 179)(171, 180)(172, 178)(173, 181)(174, 183)(175, 184)(176, 182)(185, 190)(186, 189)(187, 192)(188, 191)(193, 195)(194, 198)(196, 204)(197, 207)(199, 211)(200, 214)(201, 213)(202, 210)(203, 209)(205, 215)(206, 208)(212, 220)(216, 226)(217, 228)(218, 227)(219, 225)(221, 230)(222, 232)(223, 231)(224, 229)(233, 242)(234, 244)(235, 243)(236, 241)(237, 246)(238, 248)(239, 247)(240, 245)(249, 255)(250, 256)(251, 253)(252, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.751
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.750 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3^2 * Y2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 17, 81, 11, 75)(6, 70, 18, 82, 9, 73, 19, 83)(12, 76, 25, 89, 15, 79, 26, 90)(13, 77, 27, 91, 16, 80, 28, 92)(20, 84, 29, 93, 23, 87, 30, 94)(21, 85, 31, 95, 24, 88, 32, 96)(33, 97, 41, 105, 35, 99, 42, 106)(34, 98, 43, 107, 36, 100, 44, 108)(37, 101, 45, 109, 39, 103, 46, 110)(38, 102, 47, 111, 40, 104, 48, 112)(49, 113, 57, 121, 51, 115, 58, 122)(50, 114, 59, 123, 52, 116, 60, 124)(53, 117, 61, 125, 55, 119, 62, 126)(54, 118, 63, 127, 56, 120, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 152)(139, 149)(141, 147)(142, 150)(144, 146)(153, 161)(154, 163)(155, 164)(156, 162)(157, 165)(158, 167)(159, 168)(160, 166)(169, 177)(170, 179)(171, 180)(172, 178)(173, 181)(174, 183)(175, 184)(176, 182)(185, 190)(186, 189)(187, 191)(188, 192)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 214)(202, 212)(203, 215)(204, 210)(206, 209)(207, 211)(217, 226)(218, 228)(219, 225)(220, 227)(221, 230)(222, 232)(223, 229)(224, 231)(233, 242)(234, 244)(235, 241)(236, 243)(237, 246)(238, 248)(239, 245)(240, 247)(249, 256)(250, 255)(251, 254)(252, 253)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.752
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.751 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3 * Y1 * Y3 * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 6, 70, 134, 198)(3, 67, 131, 195, 7, 71, 135, 199)(5, 69, 133, 197, 10, 74, 138, 202)(8, 72, 136, 200, 16, 80, 144, 208)(9, 73, 137, 201, 17, 81, 145, 209)(11, 75, 139, 203, 21, 85, 149, 213)(12, 76, 140, 204, 22, 86, 150, 214)(13, 77, 141, 205, 24, 88, 152, 216)(14, 78, 142, 206, 25, 89, 153, 217)(15, 79, 143, 207, 26, 90, 154, 218)(18, 82, 146, 210, 32, 96, 160, 224)(19, 83, 147, 211, 33, 97, 161, 225)(20, 84, 148, 212, 34, 98, 162, 226)(23, 87, 151, 215, 39, 103, 167, 231)(27, 91, 155, 219, 40, 104, 168, 232)(28, 92, 156, 220, 41, 105, 169, 233)(29, 93, 157, 221, 42, 106, 170, 234)(30, 94, 158, 222, 43, 107, 171, 235)(31, 95, 159, 223, 44, 108, 172, 236)(35, 99, 163, 227, 45, 109, 173, 237)(36, 100, 164, 228, 46, 110, 174, 238)(37, 101, 165, 229, 47, 111, 175, 239)(38, 102, 166, 230, 48, 112, 176, 240)(49, 113, 177, 241, 57, 121, 185, 249)(50, 114, 178, 242, 58, 122, 186, 250)(51, 115, 179, 243, 59, 123, 187, 251)(52, 116, 180, 244, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253)(54, 118, 182, 246, 62, 126, 190, 254)(55, 119, 183, 247, 63, 127, 191, 255)(56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 69)(4, 72)(5, 67)(6, 75)(7, 77)(8, 68)(9, 79)(10, 82)(11, 70)(12, 84)(13, 71)(14, 87)(15, 73)(16, 91)(17, 93)(18, 74)(19, 95)(20, 76)(21, 99)(22, 101)(23, 78)(24, 100)(25, 102)(26, 98)(27, 80)(28, 96)(29, 81)(30, 97)(31, 83)(32, 92)(33, 94)(34, 90)(35, 85)(36, 88)(37, 86)(38, 89)(39, 108)(40, 113)(41, 115)(42, 114)(43, 116)(44, 103)(45, 117)(46, 119)(47, 118)(48, 120)(49, 104)(50, 106)(51, 105)(52, 107)(53, 109)(54, 111)(55, 110)(56, 112)(57, 128)(58, 127)(59, 126)(60, 125)(61, 124)(62, 123)(63, 122)(64, 121)(129, 195)(130, 197)(131, 193)(132, 201)(133, 194)(134, 204)(135, 206)(136, 207)(137, 196)(138, 211)(139, 212)(140, 198)(141, 215)(142, 199)(143, 200)(144, 220)(145, 222)(146, 223)(147, 202)(148, 203)(149, 228)(150, 230)(151, 205)(152, 227)(153, 229)(154, 231)(155, 224)(156, 208)(157, 225)(158, 209)(159, 210)(160, 219)(161, 221)(162, 236)(163, 216)(164, 213)(165, 217)(166, 214)(167, 218)(168, 242)(169, 244)(170, 241)(171, 243)(172, 226)(173, 246)(174, 248)(175, 245)(176, 247)(177, 234)(178, 232)(179, 235)(180, 233)(181, 239)(182, 237)(183, 240)(184, 238)(185, 254)(186, 253)(187, 256)(188, 255)(189, 250)(190, 249)(191, 252)(192, 251)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.749
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.752 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 6, 70, 134, 198)(3, 67, 131, 195, 8, 72, 136, 200)(5, 69, 133, 197, 12, 76, 140, 204)(7, 71, 135, 199, 16, 80, 144, 208)(9, 73, 137, 201, 18, 82, 146, 210)(10, 74, 138, 202, 19, 83, 147, 211)(11, 75, 139, 203, 21, 85, 149, 213)(13, 77, 141, 205, 23, 87, 151, 215)(14, 78, 142, 206, 24, 88, 152, 216)(15, 79, 143, 207, 25, 89, 153, 217)(17, 81, 145, 209, 27, 91, 155, 219)(20, 84, 148, 212, 31, 95, 159, 223)(22, 86, 150, 214, 33, 97, 161, 225)(26, 90, 154, 218, 37, 101, 165, 229)(28, 92, 156, 220, 39, 103, 167, 231)(29, 93, 157, 221, 40, 104, 168, 232)(30, 94, 158, 222, 41, 105, 169, 233)(32, 96, 160, 224, 42, 106, 170, 234)(34, 98, 162, 226, 44, 108, 172, 236)(35, 99, 163, 227, 45, 109, 173, 237)(36, 100, 164, 228, 46, 110, 174, 238)(38, 102, 166, 230, 47, 111, 175, 239)(43, 107, 171, 235, 52, 116, 180, 244)(48, 112, 176, 240, 57, 121, 185, 249)(49, 113, 177, 241, 58, 122, 186, 250)(50, 114, 178, 242, 59, 123, 187, 251)(51, 115, 179, 243, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253)(54, 118, 182, 246, 62, 126, 190, 254)(55, 119, 183, 247, 63, 127, 191, 255)(56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 81)(9, 68)(10, 80)(11, 69)(12, 86)(13, 70)(14, 85)(15, 84)(16, 74)(17, 72)(18, 92)(19, 94)(20, 79)(21, 78)(22, 76)(23, 98)(24, 100)(25, 96)(26, 95)(27, 99)(28, 82)(29, 97)(30, 83)(31, 90)(32, 89)(33, 93)(34, 87)(35, 91)(36, 88)(37, 107)(38, 106)(39, 112)(40, 114)(41, 113)(42, 102)(43, 101)(44, 117)(45, 119)(46, 118)(47, 120)(48, 103)(49, 105)(50, 104)(51, 116)(52, 115)(53, 108)(54, 110)(55, 109)(56, 111)(57, 128)(58, 126)(59, 127)(60, 125)(61, 124)(62, 122)(63, 123)(64, 121)(129, 195)(130, 197)(131, 193)(132, 202)(133, 194)(134, 206)(135, 207)(136, 205)(137, 204)(138, 196)(139, 212)(140, 201)(141, 200)(142, 198)(143, 199)(144, 218)(145, 217)(146, 221)(147, 220)(148, 203)(149, 224)(150, 223)(151, 227)(152, 226)(153, 209)(154, 208)(155, 230)(156, 211)(157, 210)(158, 229)(159, 214)(160, 213)(161, 235)(162, 216)(163, 215)(164, 234)(165, 222)(166, 219)(167, 241)(168, 240)(169, 243)(170, 228)(171, 225)(172, 246)(173, 245)(174, 248)(175, 247)(176, 232)(177, 231)(178, 244)(179, 233)(180, 242)(181, 237)(182, 236)(183, 239)(184, 238)(185, 255)(186, 256)(187, 253)(188, 254)(189, 251)(190, 252)(191, 249)(192, 250)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.750
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.753 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 20, 84, 148, 212, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 23, 87, 151, 215, 10, 74, 138, 202)(6, 70, 134, 198, 16, 80, 144, 208, 28, 92, 156, 220, 17, 81, 145, 209)(11, 75, 139, 203, 24, 88, 152, 216, 14, 78, 142, 206, 25, 89, 153, 217)(12, 76, 140, 204, 26, 90, 154, 218, 15, 79, 143, 207, 27, 91, 155, 219)(18, 82, 146, 210, 29, 93, 157, 221, 21, 85, 149, 213, 30, 94, 158, 222)(19, 83, 147, 211, 31, 95, 159, 223, 22, 86, 150, 214, 32, 96, 160, 224)(33, 97, 161, 225, 41, 105, 169, 233, 35, 99, 163, 227, 42, 106, 170, 234)(34, 98, 162, 226, 43, 107, 171, 235, 36, 100, 164, 228, 44, 108, 172, 236)(37, 101, 165, 229, 45, 109, 173, 237, 39, 103, 167, 231, 46, 110, 174, 238)(38, 102, 166, 230, 47, 111, 175, 239, 40, 104, 168, 232, 48, 112, 176, 240)(49, 113, 177, 241, 57, 121, 185, 249, 51, 115, 179, 243, 58, 122, 186, 250)(50, 114, 178, 242, 59, 123, 187, 251, 52, 116, 180, 244, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253, 55, 119, 183, 247, 62, 126, 190, 254)(54, 118, 182, 246, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 70)(4, 75)(5, 78)(6, 67)(7, 82)(8, 85)(9, 86)(10, 83)(11, 68)(12, 81)(13, 84)(14, 69)(15, 80)(16, 79)(17, 76)(18, 71)(19, 74)(20, 77)(21, 72)(22, 73)(23, 92)(24, 97)(25, 99)(26, 100)(27, 98)(28, 87)(29, 101)(30, 103)(31, 104)(32, 102)(33, 88)(34, 91)(35, 89)(36, 90)(37, 93)(38, 96)(39, 94)(40, 95)(41, 113)(42, 115)(43, 116)(44, 114)(45, 117)(46, 119)(47, 120)(48, 118)(49, 105)(50, 108)(51, 106)(52, 107)(53, 109)(54, 112)(55, 110)(56, 111)(57, 126)(58, 125)(59, 128)(60, 127)(61, 122)(62, 121)(63, 124)(64, 123)(129, 195)(130, 198)(131, 193)(132, 204)(133, 207)(134, 194)(135, 211)(136, 214)(137, 213)(138, 210)(139, 209)(140, 196)(141, 215)(142, 208)(143, 197)(144, 206)(145, 203)(146, 202)(147, 199)(148, 220)(149, 201)(150, 200)(151, 205)(152, 226)(153, 228)(154, 227)(155, 225)(156, 212)(157, 230)(158, 232)(159, 231)(160, 229)(161, 219)(162, 216)(163, 218)(164, 217)(165, 224)(166, 221)(167, 223)(168, 222)(169, 242)(170, 244)(171, 243)(172, 241)(173, 246)(174, 248)(175, 247)(176, 245)(177, 236)(178, 233)(179, 235)(180, 234)(181, 240)(182, 237)(183, 239)(184, 238)(185, 255)(186, 256)(187, 253)(188, 254)(189, 251)(190, 252)(191, 249)(192, 250)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.747
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 96
	degree seq :: [ 16^16 ]

E9.754 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3^2 * Y2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 17, 81, 145, 209, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 9, 73, 137, 201, 19, 83, 147, 211)(12, 76, 140, 204, 25, 89, 153, 217, 15, 79, 143, 207, 26, 90, 154, 218)(13, 77, 141, 205, 27, 91, 155, 219, 16, 80, 144, 208, 28, 92, 156, 220)(20, 84, 148, 212, 29, 93, 157, 221, 23, 87, 151, 215, 30, 94, 158, 222)(21, 85, 149, 213, 31, 95, 159, 223, 24, 88, 152, 216, 32, 96, 160, 224)(33, 97, 161, 225, 41, 105, 169, 233, 35, 99, 163, 227, 42, 106, 170, 234)(34, 98, 162, 226, 43, 107, 171, 235, 36, 100, 164, 228, 44, 108, 172, 236)(37, 101, 165, 229, 45, 109, 173, 237, 39, 103, 167, 231, 46, 110, 174, 238)(38, 102, 166, 230, 47, 111, 175, 239, 40, 104, 168, 232, 48, 112, 176, 240)(49, 113, 177, 241, 57, 121, 185, 249, 51, 115, 179, 243, 58, 122, 186, 250)(50, 114, 178, 242, 59, 123, 187, 251, 52, 116, 180, 244, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253, 55, 119, 183, 247, 62, 126, 190, 254)(54, 118, 182, 246, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 88)(11, 85)(12, 68)(13, 83)(14, 86)(15, 69)(16, 82)(17, 70)(18, 80)(19, 77)(20, 71)(21, 75)(22, 78)(23, 72)(24, 74)(25, 97)(26, 99)(27, 100)(28, 98)(29, 101)(30, 103)(31, 104)(32, 102)(33, 89)(34, 92)(35, 90)(36, 91)(37, 93)(38, 96)(39, 94)(40, 95)(41, 113)(42, 115)(43, 116)(44, 114)(45, 117)(46, 119)(47, 120)(48, 118)(49, 105)(50, 108)(51, 106)(52, 107)(53, 109)(54, 112)(55, 110)(56, 111)(57, 126)(58, 125)(59, 127)(60, 128)(61, 122)(62, 121)(63, 123)(64, 124)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 214)(138, 212)(139, 215)(140, 210)(141, 196)(142, 209)(143, 211)(144, 197)(145, 206)(146, 204)(147, 207)(148, 202)(149, 199)(150, 201)(151, 203)(152, 200)(153, 226)(154, 228)(155, 225)(156, 227)(157, 230)(158, 232)(159, 229)(160, 231)(161, 219)(162, 217)(163, 220)(164, 218)(165, 223)(166, 221)(167, 224)(168, 222)(169, 242)(170, 244)(171, 241)(172, 243)(173, 246)(174, 248)(175, 245)(176, 247)(177, 235)(178, 233)(179, 236)(180, 234)(181, 239)(182, 237)(183, 240)(184, 238)(185, 256)(186, 255)(187, 254)(188, 253)(189, 252)(190, 251)(191, 250)(192, 249)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.748
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 96
	degree seq :: [ 16^16 ]

E9.755 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 2144>$ (small group id <128, 2144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-2)^2, (Y3 * Y1)^4, (Y2 * Y1 * Y3^-1 * Y1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^3 * Y1 * Y3^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 16, 80)(7, 71, 19, 83)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 18, 82)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 37, 101)(23, 87, 42, 106)(24, 88, 35, 99)(25, 89, 40, 104)(27, 91, 47, 111)(28, 92, 46, 110)(29, 93, 36, 100)(30, 94, 41, 105)(31, 95, 34, 98)(32, 96, 51, 115)(33, 97, 45, 109)(38, 102, 56, 120)(39, 103, 55, 119)(43, 107, 60, 124)(44, 108, 54, 118)(48, 112, 59, 123)(49, 113, 63, 127)(50, 114, 57, 121)(52, 116, 62, 126)(53, 117, 61, 125)(58, 122, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 146, 210)(136, 200, 145, 209)(137, 201, 151, 215)(140, 204, 157, 221)(141, 205, 156, 220)(142, 206, 152, 216)(143, 207, 155, 219)(144, 208, 162, 226)(147, 211, 168, 232)(148, 212, 167, 231)(149, 213, 163, 227)(150, 214, 166, 230)(153, 217, 173, 237)(154, 218, 171, 235)(158, 222, 174, 238)(159, 223, 178, 242)(160, 224, 165, 229)(161, 225, 177, 241)(164, 228, 182, 246)(169, 233, 183, 247)(170, 234, 187, 251)(172, 236, 186, 250)(175, 239, 190, 254)(176, 240, 189, 253)(179, 243, 191, 255)(180, 244, 185, 249)(181, 245, 184, 248)(188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 145)(7, 148)(8, 130)(9, 152)(10, 155)(11, 131)(12, 158)(13, 160)(14, 151)(15, 133)(16, 163)(17, 166)(18, 134)(19, 169)(20, 171)(21, 162)(22, 136)(23, 173)(24, 174)(25, 137)(26, 167)(27, 177)(28, 139)(29, 178)(30, 142)(31, 140)(32, 180)(33, 143)(34, 182)(35, 183)(36, 144)(37, 156)(38, 186)(39, 146)(40, 187)(41, 149)(42, 147)(43, 189)(44, 150)(45, 190)(46, 157)(47, 153)(48, 154)(49, 184)(50, 191)(51, 159)(52, 188)(53, 161)(54, 181)(55, 168)(56, 164)(57, 165)(58, 175)(59, 192)(60, 170)(61, 179)(62, 172)(63, 176)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.757
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.756 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 2147>$ (small group id <128, 2147>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 8, 72)(6, 70, 13, 77)(10, 74, 18, 82)(11, 75, 19, 83)(12, 76, 16, 80)(14, 78, 22, 86)(15, 79, 23, 87)(17, 81, 25, 89)(20, 84, 28, 92)(21, 85, 29, 93)(24, 88, 32, 96)(26, 90, 34, 98)(27, 91, 35, 99)(30, 94, 38, 102)(31, 95, 39, 103)(33, 97, 41, 105)(36, 100, 44, 108)(37, 101, 45, 109)(40, 104, 48, 112)(42, 106, 50, 114)(43, 107, 51, 115)(46, 110, 54, 118)(47, 111, 55, 119)(49, 113, 57, 121)(52, 116, 60, 124)(53, 117, 61, 125)(56, 120, 64, 128)(58, 122, 63, 127)(59, 123, 62, 126)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 143, 207)(136, 200, 142, 206)(137, 201, 145, 209)(140, 204, 148, 212)(141, 205, 149, 213)(144, 208, 152, 216)(146, 210, 155, 219)(147, 211, 154, 218)(150, 214, 159, 223)(151, 215, 158, 222)(153, 217, 161, 225)(156, 220, 164, 228)(157, 221, 165, 229)(160, 224, 168, 232)(162, 226, 171, 235)(163, 227, 170, 234)(166, 230, 175, 239)(167, 231, 174, 238)(169, 233, 177, 241)(172, 236, 180, 244)(173, 237, 181, 245)(176, 240, 184, 248)(178, 242, 187, 251)(179, 243, 186, 250)(182, 246, 191, 255)(183, 247, 190, 254)(185, 249, 192, 256)(188, 252, 189, 253)
	L = (1, 132)(2, 135)(3, 138)(4, 140)(5, 129)(6, 142)(7, 144)(8, 130)(9, 146)(10, 148)(11, 131)(12, 133)(13, 150)(14, 152)(15, 134)(16, 136)(17, 154)(18, 156)(19, 137)(20, 139)(21, 158)(22, 160)(23, 141)(24, 143)(25, 162)(26, 164)(27, 145)(28, 147)(29, 166)(30, 168)(31, 149)(32, 151)(33, 170)(34, 172)(35, 153)(36, 155)(37, 174)(38, 176)(39, 157)(40, 159)(41, 178)(42, 180)(43, 161)(44, 163)(45, 182)(46, 184)(47, 165)(48, 167)(49, 186)(50, 188)(51, 169)(52, 171)(53, 190)(54, 192)(55, 173)(56, 175)(57, 191)(58, 189)(59, 177)(60, 179)(61, 187)(62, 185)(63, 181)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.758
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.757 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 2144>$ (small group id <128, 2144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 5, 69)(3, 67, 9, 73, 14, 78, 11, 75)(4, 68, 12, 76, 15, 79, 8, 72)(7, 71, 16, 80, 13, 77, 18, 82)(10, 74, 21, 85, 24, 88, 20, 84)(17, 81, 27, 91, 23, 87, 26, 90)(19, 83, 29, 93, 22, 86, 31, 95)(25, 89, 33, 97, 28, 92, 35, 99)(30, 94, 39, 103, 32, 96, 38, 102)(34, 98, 43, 107, 36, 100, 42, 106)(37, 101, 45, 109, 40, 104, 47, 111)(41, 105, 49, 113, 44, 108, 51, 115)(46, 110, 55, 119, 48, 112, 54, 118)(50, 114, 59, 123, 52, 116, 58, 122)(53, 117, 60, 124, 56, 120, 57, 121)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 141, 205)(134, 198, 142, 206)(136, 200, 145, 209)(137, 201, 147, 211)(139, 203, 150, 214)(140, 204, 151, 215)(143, 207, 152, 216)(144, 208, 153, 217)(146, 210, 156, 220)(148, 212, 158, 222)(149, 213, 160, 224)(154, 218, 162, 226)(155, 219, 164, 228)(157, 221, 165, 229)(159, 223, 168, 232)(161, 225, 169, 233)(163, 227, 172, 236)(166, 230, 174, 238)(167, 231, 176, 240)(170, 234, 178, 242)(171, 235, 180, 244)(173, 237, 181, 245)(175, 239, 184, 248)(177, 241, 185, 249)(179, 243, 188, 252)(182, 246, 189, 253)(183, 247, 190, 254)(186, 250, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 140)(6, 143)(7, 145)(8, 130)(9, 148)(10, 131)(11, 149)(12, 133)(13, 151)(14, 152)(15, 134)(16, 154)(17, 135)(18, 155)(19, 158)(20, 137)(21, 139)(22, 160)(23, 141)(24, 142)(25, 162)(26, 144)(27, 146)(28, 164)(29, 166)(30, 147)(31, 167)(32, 150)(33, 170)(34, 153)(35, 171)(36, 156)(37, 174)(38, 157)(39, 159)(40, 176)(41, 178)(42, 161)(43, 163)(44, 180)(45, 182)(46, 165)(47, 183)(48, 168)(49, 186)(50, 169)(51, 187)(52, 172)(53, 189)(54, 173)(55, 175)(56, 190)(57, 191)(58, 177)(59, 179)(60, 192)(61, 181)(62, 184)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.755
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 190>)
Aut   = $<128, 2147>$ (small group id <128, 2147>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^2 * Y1^-2, Y1^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 16, 80, 13, 77)(4, 68, 9, 73, 6, 70, 10, 74)(8, 72, 17, 81, 15, 79, 19, 83)(12, 76, 22, 86, 14, 78, 23, 87)(18, 82, 26, 90, 20, 84, 27, 91)(21, 85, 29, 93, 24, 88, 31, 95)(25, 89, 33, 97, 28, 92, 35, 99)(30, 94, 38, 102, 32, 96, 39, 103)(34, 98, 42, 106, 36, 100, 43, 107)(37, 101, 45, 109, 40, 104, 47, 111)(41, 105, 49, 113, 44, 108, 51, 115)(46, 110, 54, 118, 48, 112, 55, 119)(50, 114, 58, 122, 52, 116, 59, 123)(53, 117, 60, 124, 56, 120, 57, 121)(61, 125, 64, 128, 62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 143, 207)(134, 198, 140, 204)(135, 199, 144, 208)(137, 201, 148, 212)(138, 202, 146, 210)(139, 203, 149, 213)(141, 205, 152, 216)(145, 209, 153, 217)(147, 211, 156, 220)(150, 214, 160, 224)(151, 215, 158, 222)(154, 218, 164, 228)(155, 219, 162, 226)(157, 221, 165, 229)(159, 223, 168, 232)(161, 225, 169, 233)(163, 227, 172, 236)(166, 230, 176, 240)(167, 231, 174, 238)(170, 234, 180, 244)(171, 235, 178, 242)(173, 237, 181, 245)(175, 239, 184, 248)(177, 241, 185, 249)(179, 243, 188, 252)(182, 246, 190, 254)(183, 247, 189, 253)(186, 250, 192, 256)(187, 251, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 135)(5, 138)(6, 129)(7, 134)(8, 146)(9, 133)(10, 130)(11, 150)(12, 144)(13, 151)(14, 131)(15, 148)(16, 142)(17, 154)(18, 143)(19, 155)(20, 136)(21, 158)(22, 141)(23, 139)(24, 160)(25, 162)(26, 147)(27, 145)(28, 164)(29, 166)(30, 152)(31, 167)(32, 149)(33, 170)(34, 156)(35, 171)(36, 153)(37, 174)(38, 159)(39, 157)(40, 176)(41, 178)(42, 163)(43, 161)(44, 180)(45, 182)(46, 168)(47, 183)(48, 165)(49, 186)(50, 172)(51, 187)(52, 169)(53, 189)(54, 175)(55, 173)(56, 190)(57, 191)(58, 179)(59, 177)(60, 192)(61, 184)(62, 181)(63, 188)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.756
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.759 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 23>)
Aut   = $<128, 753>$ (small group id <128, 753>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2^-2 * T1 * T2^-2 * T1^-1, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-1 * T2^-1)^2, (T2^-1, T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 26, 13)(6, 16, 35, 17)(9, 24, 14, 25)(11, 27, 15, 28)(18, 40, 21, 41)(20, 42, 22, 43)(23, 45, 33, 46)(29, 49, 31, 50)(30, 47, 32, 48)(34, 54, 37, 55)(36, 56, 38, 57)(39, 59, 44, 60)(51, 61, 52, 62)(53, 63, 58, 64)(65, 66, 70, 68)(67, 73, 87, 75)(69, 78, 97, 79)(71, 82, 103, 84)(72, 85, 108, 86)(74, 83, 99, 90)(76, 93, 115, 94)(77, 95, 116, 96)(80, 98, 117, 100)(81, 101, 122, 102)(88, 111, 118, 106)(89, 112, 119, 107)(91, 113, 120, 104)(92, 114, 121, 105)(109, 123, 127, 125)(110, 124, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.760
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.760 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 23>)
Aut   = $<128, 753>$ (small group id <128, 753>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1^-2 * T2 * T1^-1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T1^2 * T2^-2 * T1^2 * T2^2, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T2 * T1^-1)^4, (T2^-1 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^2, (T2^-1, T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 31, 95, 13, 77)(6, 70, 16, 80, 41, 105, 17, 81)(9, 73, 24, 88, 44, 108, 25, 89)(11, 75, 28, 92, 43, 107, 29, 93)(14, 78, 36, 100, 42, 106, 37, 101)(15, 79, 38, 102, 40, 104, 39, 103)(18, 82, 46, 110, 34, 98, 47, 111)(20, 84, 50, 114, 33, 97, 51, 115)(21, 85, 53, 117, 32, 96, 54, 118)(22, 86, 55, 119, 30, 94, 56, 120)(23, 87, 48, 112, 35, 99, 57, 121)(26, 90, 58, 122, 63, 127, 59, 123)(27, 91, 52, 116, 62, 126, 45, 109)(49, 113, 61, 125, 64, 128, 60, 124)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 90)(11, 67)(12, 94)(13, 97)(14, 99)(15, 69)(16, 104)(17, 107)(18, 109)(19, 112)(20, 71)(21, 116)(22, 72)(23, 75)(24, 110)(25, 117)(26, 105)(27, 74)(28, 114)(29, 119)(30, 123)(31, 113)(32, 76)(33, 122)(34, 77)(35, 79)(36, 111)(37, 118)(38, 115)(39, 120)(40, 124)(41, 91)(42, 80)(43, 125)(44, 81)(45, 84)(46, 103)(47, 93)(48, 95)(49, 83)(50, 101)(51, 89)(52, 86)(53, 102)(54, 92)(55, 100)(56, 88)(57, 126)(58, 98)(59, 96)(60, 106)(61, 108)(62, 128)(63, 121)(64, 127)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.759
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 23>)
Aut   = $<128, 753>$ (small group id <128, 753>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, Y1^4, Y2^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^4, Y2^-2 * Y3 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 16, 80, 11, 75)(5, 69, 14, 78, 17, 81, 15, 79)(7, 71, 18, 82, 12, 76, 20, 84)(8, 72, 21, 85, 13, 77, 22, 86)(10, 74, 25, 89, 34, 98, 26, 90)(19, 83, 37, 101, 29, 93, 38, 102)(23, 87, 42, 106, 27, 91, 44, 108)(24, 88, 36, 100, 28, 92, 40, 104)(30, 94, 41, 105, 32, 96, 43, 107)(31, 95, 35, 99, 33, 97, 39, 103)(45, 109, 54, 118, 50, 114, 56, 120)(46, 110, 53, 117, 48, 112, 58, 122)(47, 111, 59, 123, 49, 113, 60, 124)(51, 115, 55, 119, 52, 116, 57, 121)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(134, 198, 144, 208, 162, 226, 145, 209)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(146, 210, 163, 227, 181, 245, 164, 228)(148, 212, 167, 231, 186, 250, 168, 232)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(165, 229, 182, 246, 191, 255, 183, 247)(166, 230, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 154)(11, 144)(12, 146)(13, 149)(14, 133)(15, 145)(16, 137)(17, 142)(18, 135)(19, 166)(20, 140)(21, 136)(22, 141)(23, 172)(24, 168)(25, 138)(26, 162)(27, 170)(28, 164)(29, 165)(30, 171)(31, 167)(32, 169)(33, 163)(34, 153)(35, 159)(36, 152)(37, 147)(38, 157)(39, 161)(40, 156)(41, 158)(42, 151)(43, 160)(44, 155)(45, 184)(46, 186)(47, 188)(48, 181)(49, 187)(50, 182)(51, 185)(52, 183)(53, 174)(54, 173)(55, 179)(56, 178)(57, 180)(58, 176)(59, 175)(60, 177)(61, 192)(62, 191)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.762
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 23>)
Aut   = $<128, 753>$ (small group id <128, 753>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^4, Y3^4, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^2 * Y2 * Y3, (Y2, Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 151, 215, 139, 203)(133, 197, 142, 206, 161, 225, 143, 207)(135, 199, 146, 210, 167, 231, 148, 212)(136, 200, 149, 213, 172, 236, 150, 214)(138, 202, 147, 211, 163, 227, 154, 218)(140, 204, 157, 221, 179, 243, 158, 222)(141, 205, 159, 223, 180, 244, 160, 224)(144, 208, 162, 226, 181, 245, 164, 228)(145, 209, 165, 229, 186, 250, 166, 230)(152, 216, 175, 239, 182, 246, 170, 234)(153, 217, 176, 240, 183, 247, 171, 235)(155, 219, 177, 241, 184, 248, 168, 232)(156, 220, 178, 242, 185, 249, 169, 233)(173, 237, 187, 251, 191, 255, 189, 253)(174, 238, 188, 252, 192, 256, 190, 254)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 144)(7, 147)(8, 130)(9, 152)(10, 133)(11, 155)(12, 154)(13, 132)(14, 153)(15, 156)(16, 163)(17, 134)(18, 168)(19, 136)(20, 170)(21, 169)(22, 171)(23, 173)(24, 142)(25, 137)(26, 141)(27, 143)(28, 139)(29, 177)(30, 175)(31, 178)(32, 176)(33, 174)(34, 182)(35, 145)(36, 184)(37, 183)(38, 185)(39, 187)(40, 149)(41, 146)(42, 150)(43, 148)(44, 188)(45, 161)(46, 151)(47, 160)(48, 158)(49, 159)(50, 157)(51, 189)(52, 190)(53, 191)(54, 165)(55, 162)(56, 166)(57, 164)(58, 192)(59, 172)(60, 167)(61, 180)(62, 179)(63, 186)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.761
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.763 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T1^-1 * T2^-2)^2, (T1^-1 * T2^2)^2, (T2 * T1 * T2 * T1^-1)^2, (T1^-1, T2^-1, T1^-1) ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 26, 13)(6, 16, 35, 17)(9, 24, 15, 25)(11, 27, 14, 28)(18, 40, 22, 41)(20, 42, 21, 43)(23, 45, 33, 46)(29, 47, 32, 48)(30, 49, 31, 50)(34, 54, 38, 55)(36, 56, 37, 57)(39, 59, 44, 60)(51, 61, 52, 62)(53, 63, 58, 64)(65, 66, 70, 68)(67, 73, 87, 75)(69, 78, 97, 79)(71, 82, 103, 84)(72, 85, 108, 86)(74, 90, 99, 83)(76, 93, 115, 94)(77, 95, 116, 96)(80, 98, 117, 100)(81, 101, 122, 102)(88, 111, 118, 104)(89, 105, 119, 112)(91, 113, 120, 106)(92, 107, 121, 114)(109, 125, 127, 123)(110, 124, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.764
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.764 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T1^-1 * T2^-2)^2, (T1^-1 * T2^2)^2, (T2 * T1 * T2 * T1^-1)^2, (T1^-1, T2^-1, T1^-1) ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 26, 90, 13, 77)(6, 70, 16, 80, 35, 99, 17, 81)(9, 73, 24, 88, 15, 79, 25, 89)(11, 75, 27, 91, 14, 78, 28, 92)(18, 82, 40, 104, 22, 86, 41, 105)(20, 84, 42, 106, 21, 85, 43, 107)(23, 87, 45, 109, 33, 97, 46, 110)(29, 93, 47, 111, 32, 96, 48, 112)(30, 94, 49, 113, 31, 95, 50, 114)(34, 98, 54, 118, 38, 102, 55, 119)(36, 100, 56, 120, 37, 101, 57, 121)(39, 103, 59, 123, 44, 108, 60, 124)(51, 115, 61, 125, 52, 116, 62, 126)(53, 117, 63, 127, 58, 122, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 90)(11, 67)(12, 93)(13, 95)(14, 97)(15, 69)(16, 98)(17, 101)(18, 103)(19, 74)(20, 71)(21, 108)(22, 72)(23, 75)(24, 111)(25, 105)(26, 99)(27, 113)(28, 107)(29, 115)(30, 76)(31, 116)(32, 77)(33, 79)(34, 117)(35, 83)(36, 80)(37, 122)(38, 81)(39, 84)(40, 88)(41, 119)(42, 91)(43, 121)(44, 86)(45, 125)(46, 124)(47, 118)(48, 89)(49, 120)(50, 92)(51, 94)(52, 96)(53, 100)(54, 104)(55, 112)(56, 106)(57, 114)(58, 102)(59, 109)(60, 128)(61, 127)(62, 110)(63, 123)(64, 126)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.763
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-2)^2, (Y2 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1, (Y2 * Y1^-1)^4, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^4, (Y2^-2 * Y1^-1 * Y2 * Y1^-1)^2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 16, 80, 15, 79)(7, 71, 18, 82, 13, 77, 20, 84)(8, 72, 21, 85, 12, 76, 22, 86)(10, 74, 25, 89, 34, 98, 26, 90)(19, 83, 37, 101, 29, 93, 38, 102)(23, 87, 36, 100, 28, 92, 39, 103)(24, 88, 42, 106, 27, 91, 43, 107)(30, 94, 35, 99, 33, 97, 40, 104)(31, 95, 41, 105, 32, 96, 44, 108)(45, 109, 55, 119, 50, 114, 56, 120)(46, 110, 53, 117, 49, 113, 58, 122)(47, 111, 59, 123, 48, 112, 60, 124)(51, 115, 54, 118, 52, 116, 57, 121)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(134, 198, 144, 208, 162, 226, 145, 209)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(146, 210, 163, 227, 181, 245, 164, 228)(148, 212, 167, 231, 186, 250, 168, 232)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(165, 229, 182, 246, 191, 255, 183, 247)(166, 230, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 154)(11, 145)(12, 149)(13, 146)(14, 133)(15, 144)(16, 142)(17, 137)(18, 135)(19, 166)(20, 141)(21, 136)(22, 140)(23, 167)(24, 171)(25, 138)(26, 162)(27, 170)(28, 164)(29, 165)(30, 168)(31, 172)(32, 169)(33, 163)(34, 153)(35, 158)(36, 151)(37, 147)(38, 157)(39, 156)(40, 161)(41, 159)(42, 152)(43, 155)(44, 160)(45, 184)(46, 186)(47, 188)(48, 187)(49, 181)(50, 183)(51, 185)(52, 182)(53, 174)(54, 179)(55, 173)(56, 178)(57, 180)(58, 177)(59, 175)(60, 176)(61, 192)(62, 191)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.766
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-2 * Y3^-3 * Y2^-2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4, Y3^2 * Y2 * Y3 * Y2 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 145, 209, 139, 203)(133, 197, 142, 206, 144, 208, 143, 207)(135, 199, 146, 210, 141, 205, 148, 212)(136, 200, 149, 213, 140, 204, 150, 214)(138, 202, 153, 217, 162, 226, 154, 218)(147, 211, 165, 229, 157, 221, 166, 230)(151, 215, 164, 228, 156, 220, 167, 231)(152, 216, 170, 234, 155, 219, 171, 235)(158, 222, 163, 227, 161, 225, 168, 232)(159, 223, 169, 233, 160, 224, 172, 236)(173, 237, 183, 247, 178, 242, 184, 248)(174, 238, 181, 245, 177, 241, 186, 250)(175, 239, 187, 251, 176, 240, 188, 252)(179, 243, 182, 246, 180, 244, 185, 249)(189, 253, 191, 255, 190, 254, 192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 144)(7, 147)(8, 130)(9, 151)(10, 133)(11, 155)(12, 157)(13, 132)(14, 158)(15, 160)(16, 162)(17, 134)(18, 163)(19, 136)(20, 167)(21, 169)(22, 171)(23, 173)(24, 137)(25, 174)(26, 176)(27, 178)(28, 139)(29, 141)(30, 179)(31, 142)(32, 180)(33, 143)(34, 145)(35, 181)(36, 146)(37, 182)(38, 184)(39, 186)(40, 148)(41, 187)(42, 149)(43, 188)(44, 150)(45, 152)(46, 189)(47, 153)(48, 190)(49, 154)(50, 156)(51, 159)(52, 161)(53, 164)(54, 191)(55, 165)(56, 192)(57, 166)(58, 168)(59, 170)(60, 172)(61, 175)(62, 177)(63, 183)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.765
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.767 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = (C4 x C4) : C4 (small group id <64, 35>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T1)^2, T2^4, (F * T2)^2, T2^-1 * T1^-2 * T2 * T1^-2, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, (T2^-1 * T1)^4, (T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 29, 13)(6, 16, 34, 17)(9, 23, 45, 24)(11, 27, 50, 28)(14, 30, 51, 31)(15, 32, 52, 33)(18, 35, 53, 36)(20, 39, 58, 40)(21, 41, 59, 42)(22, 43, 60, 44)(25, 46, 61, 47)(26, 48, 62, 49)(37, 54, 63, 55)(38, 56, 64, 57)(65, 66, 70, 68)(67, 73, 80, 75)(69, 78, 81, 79)(71, 82, 76, 84)(72, 85, 77, 86)(74, 89, 98, 90)(83, 101, 93, 102)(87, 106, 91, 108)(88, 104, 92, 100)(94, 107, 96, 105)(95, 99, 97, 103)(109, 120, 114, 118)(110, 122, 112, 117)(111, 124, 113, 123)(115, 121, 116, 119)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.769
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.768 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = (C4 x C4) : C4 (small group id <64, 35>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, T2^4, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1, (T1^-1, T2, T1^-1), (T2^-1 * T1^-1)^4, T2 * T1^-2 * T2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-2, (T1^-1 * T2 * T1 * T2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 31, 13)(6, 16, 41, 17)(9, 24, 43, 25)(11, 28, 44, 29)(14, 36, 40, 37)(15, 38, 42, 39)(18, 46, 33, 47)(20, 50, 34, 51)(21, 53, 30, 54)(22, 55, 32, 56)(23, 49, 35, 57)(26, 52, 62, 45)(27, 58, 63, 59)(48, 61, 64, 60)(65, 66, 70, 68)(67, 73, 87, 75)(69, 78, 99, 79)(71, 82, 109, 84)(72, 85, 116, 86)(74, 90, 105, 91)(76, 94, 123, 96)(77, 97, 122, 98)(80, 104, 124, 106)(81, 107, 125, 108)(83, 112, 95, 113)(88, 114, 101, 120)(89, 111, 100, 117)(92, 110, 103, 118)(93, 115, 102, 119)(121, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.770
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.769 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = (C4 x C4) : C4 (small group id <64, 35>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T1)^2, T2^4, (F * T2)^2, T2^-1 * T1^-2 * T2 * T1^-2, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, (T2^-1 * T1)^4, (T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 29, 93, 13, 77)(6, 70, 16, 80, 34, 98, 17, 81)(9, 73, 23, 87, 45, 109, 24, 88)(11, 75, 27, 91, 50, 114, 28, 92)(14, 78, 30, 94, 51, 115, 31, 95)(15, 79, 32, 96, 52, 116, 33, 97)(18, 82, 35, 99, 53, 117, 36, 100)(20, 84, 39, 103, 58, 122, 40, 104)(21, 85, 41, 105, 59, 123, 42, 106)(22, 86, 43, 107, 60, 124, 44, 108)(25, 89, 46, 110, 61, 125, 47, 111)(26, 90, 48, 112, 62, 126, 49, 113)(37, 101, 54, 118, 63, 127, 55, 119)(38, 102, 56, 120, 64, 128, 57, 121)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 80)(10, 89)(11, 67)(12, 84)(13, 86)(14, 81)(15, 69)(16, 75)(17, 79)(18, 76)(19, 101)(20, 71)(21, 77)(22, 72)(23, 106)(24, 104)(25, 98)(26, 74)(27, 108)(28, 100)(29, 102)(30, 107)(31, 99)(32, 105)(33, 103)(34, 90)(35, 97)(36, 88)(37, 93)(38, 83)(39, 95)(40, 92)(41, 94)(42, 91)(43, 96)(44, 87)(45, 120)(46, 122)(47, 124)(48, 117)(49, 123)(50, 118)(51, 121)(52, 119)(53, 110)(54, 109)(55, 115)(56, 114)(57, 116)(58, 112)(59, 111)(60, 113)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.767
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.770 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = (C4 x C4) : C4 (small group id <64, 35>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, T2^4, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1, (T1^-1, T2, T1^-1), (T2^-1 * T1^-1)^4, T2 * T1^-2 * T2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-2, (T1^-1 * T2 * T1 * T2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 31, 95, 13, 77)(6, 70, 16, 80, 41, 105, 17, 81)(9, 73, 24, 88, 43, 107, 25, 89)(11, 75, 28, 92, 44, 108, 29, 93)(14, 78, 36, 100, 40, 104, 37, 101)(15, 79, 38, 102, 42, 106, 39, 103)(18, 82, 46, 110, 33, 97, 47, 111)(20, 84, 50, 114, 34, 98, 51, 115)(21, 85, 53, 117, 30, 94, 54, 118)(22, 86, 55, 119, 32, 96, 56, 120)(23, 87, 49, 113, 35, 99, 57, 121)(26, 90, 52, 116, 62, 126, 45, 109)(27, 91, 58, 122, 63, 127, 59, 123)(48, 112, 61, 125, 64, 128, 60, 124)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 90)(11, 67)(12, 94)(13, 97)(14, 99)(15, 69)(16, 104)(17, 107)(18, 109)(19, 112)(20, 71)(21, 116)(22, 72)(23, 75)(24, 114)(25, 111)(26, 105)(27, 74)(28, 110)(29, 115)(30, 123)(31, 113)(32, 76)(33, 122)(34, 77)(35, 79)(36, 117)(37, 120)(38, 119)(39, 118)(40, 124)(41, 91)(42, 80)(43, 125)(44, 81)(45, 84)(46, 103)(47, 100)(48, 95)(49, 83)(50, 101)(51, 102)(52, 86)(53, 89)(54, 92)(55, 93)(56, 88)(57, 126)(58, 98)(59, 96)(60, 106)(61, 108)(62, 128)(63, 121)(64, 127)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.768
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C4 (small group id <64, 35>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 23, 87, 11, 75)(5, 69, 14, 78, 33, 97, 15, 79)(7, 71, 18, 82, 39, 103, 20, 84)(8, 72, 21, 85, 44, 108, 22, 86)(10, 74, 19, 83, 35, 99, 26, 90)(12, 76, 29, 93, 51, 115, 30, 94)(13, 77, 31, 95, 52, 116, 32, 96)(16, 80, 34, 98, 53, 117, 36, 100)(17, 81, 37, 101, 58, 122, 38, 102)(24, 88, 47, 111, 55, 119, 43, 107)(25, 89, 48, 112, 54, 118, 42, 106)(27, 91, 49, 113, 57, 121, 40, 104)(28, 92, 50, 114, 56, 120, 41, 105)(45, 109, 60, 124, 63, 127, 61, 125)(46, 110, 59, 123, 64, 128, 62, 126)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(134, 198, 144, 208, 163, 227, 145, 209)(137, 201, 152, 216, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(146, 210, 168, 232, 149, 213, 169, 233)(148, 212, 170, 234, 150, 214, 171, 235)(151, 215, 173, 237, 161, 225, 174, 238)(157, 221, 178, 242, 159, 223, 177, 241)(158, 222, 175, 239, 160, 224, 176, 240)(162, 226, 182, 246, 165, 229, 183, 247)(164, 228, 184, 248, 166, 230, 185, 249)(167, 231, 187, 251, 172, 236, 188, 252)(179, 243, 190, 254, 180, 244, 189, 253)(181, 245, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 154)(11, 151)(12, 158)(13, 160)(14, 133)(15, 161)(16, 164)(17, 166)(18, 135)(19, 138)(20, 167)(21, 136)(22, 172)(23, 137)(24, 171)(25, 170)(26, 163)(27, 168)(28, 169)(29, 140)(30, 179)(31, 141)(32, 180)(33, 142)(34, 144)(35, 147)(36, 181)(37, 145)(38, 186)(39, 146)(40, 185)(41, 184)(42, 182)(43, 183)(44, 149)(45, 189)(46, 190)(47, 152)(48, 153)(49, 155)(50, 156)(51, 157)(52, 159)(53, 162)(54, 176)(55, 175)(56, 178)(57, 177)(58, 165)(59, 174)(60, 173)(61, 191)(62, 192)(63, 188)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.773
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C4 (small group id <64, 35>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3^2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y2, Y2^-2 * Y1^2 * Y2^-2 * Y1^-2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, Y3^2 * Y2^2 * Y1^-2 * Y2^-2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 23, 87, 11, 75)(5, 69, 14, 78, 35, 99, 15, 79)(7, 71, 18, 82, 45, 109, 20, 84)(8, 72, 21, 85, 52, 116, 22, 86)(10, 74, 26, 90, 41, 105, 27, 91)(12, 76, 30, 94, 58, 122, 32, 96)(13, 77, 33, 97, 59, 123, 34, 98)(16, 80, 40, 104, 60, 124, 42, 106)(17, 81, 43, 107, 61, 125, 44, 108)(19, 83, 48, 112, 31, 95, 49, 113)(24, 88, 53, 117, 38, 102, 50, 114)(25, 89, 46, 110, 39, 103, 55, 119)(28, 92, 51, 115, 36, 100, 54, 118)(29, 93, 56, 120, 37, 101, 47, 111)(57, 121, 62, 126, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 159, 223, 141, 205)(134, 198, 144, 208, 169, 233, 145, 209)(137, 201, 152, 216, 170, 234, 153, 217)(139, 203, 156, 220, 168, 232, 157, 221)(142, 206, 164, 228, 172, 236, 165, 229)(143, 207, 166, 230, 171, 235, 167, 231)(146, 210, 174, 238, 160, 224, 175, 239)(148, 212, 178, 242, 158, 222, 179, 243)(149, 213, 181, 245, 162, 226, 182, 246)(150, 214, 183, 247, 161, 225, 184, 248)(151, 215, 185, 249, 163, 227, 176, 240)(154, 218, 186, 250, 191, 255, 187, 251)(155, 219, 173, 237, 190, 254, 180, 244)(177, 241, 188, 252, 192, 256, 189, 253)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 155)(11, 151)(12, 160)(13, 162)(14, 133)(15, 163)(16, 170)(17, 172)(18, 135)(19, 177)(20, 173)(21, 136)(22, 180)(23, 137)(24, 178)(25, 183)(26, 138)(27, 169)(28, 182)(29, 175)(30, 140)(31, 176)(32, 186)(33, 141)(34, 187)(35, 142)(36, 179)(37, 184)(38, 181)(39, 174)(40, 144)(41, 154)(42, 188)(43, 145)(44, 189)(45, 146)(46, 153)(47, 165)(48, 147)(49, 159)(50, 166)(51, 156)(52, 149)(53, 152)(54, 164)(55, 167)(56, 157)(57, 191)(58, 158)(59, 161)(60, 168)(61, 171)(62, 185)(63, 192)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.774
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C4 (small group id <64, 35>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y3^-1 * Y2 * Y3 * R * Y2 * R, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * R * Y2^-1 * R, (Y2^-1 * Y3^-1 * Y2^-1 * Y3)^2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 151, 215, 139, 203)(133, 197, 142, 206, 161, 225, 143, 207)(135, 199, 146, 210, 167, 231, 148, 212)(136, 200, 149, 213, 172, 236, 150, 214)(138, 202, 147, 211, 163, 227, 154, 218)(140, 204, 157, 221, 179, 243, 158, 222)(141, 205, 159, 223, 180, 244, 160, 224)(144, 208, 162, 226, 181, 245, 164, 228)(145, 209, 165, 229, 186, 250, 166, 230)(152, 216, 175, 239, 183, 247, 171, 235)(153, 217, 176, 240, 182, 246, 170, 234)(155, 219, 177, 241, 185, 249, 168, 232)(156, 220, 178, 242, 184, 248, 169, 233)(173, 237, 188, 252, 191, 255, 189, 253)(174, 238, 187, 251, 192, 256, 190, 254)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 144)(7, 147)(8, 130)(9, 152)(10, 133)(11, 155)(12, 154)(13, 132)(14, 153)(15, 156)(16, 163)(17, 134)(18, 168)(19, 136)(20, 170)(21, 169)(22, 171)(23, 173)(24, 142)(25, 137)(26, 141)(27, 143)(28, 139)(29, 178)(30, 175)(31, 177)(32, 176)(33, 174)(34, 182)(35, 145)(36, 184)(37, 183)(38, 185)(39, 187)(40, 149)(41, 146)(42, 150)(43, 148)(44, 188)(45, 161)(46, 151)(47, 160)(48, 158)(49, 157)(50, 159)(51, 190)(52, 189)(53, 191)(54, 165)(55, 162)(56, 166)(57, 164)(58, 192)(59, 172)(60, 167)(61, 179)(62, 180)(63, 186)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.771
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C4 (small group id <64, 35>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-2 * Y3^-2 * Y2^2, (Y3^-1 * Y2^-1 * Y3 * Y2^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y2^-1 * Y3 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 151, 215, 139, 203)(133, 197, 142, 206, 163, 227, 143, 207)(135, 199, 146, 210, 173, 237, 148, 212)(136, 200, 149, 213, 180, 244, 150, 214)(138, 202, 154, 218, 169, 233, 155, 219)(140, 204, 158, 222, 186, 250, 160, 224)(141, 205, 161, 225, 187, 251, 162, 226)(144, 208, 168, 232, 188, 252, 170, 234)(145, 209, 171, 235, 189, 253, 172, 236)(147, 211, 176, 240, 159, 223, 177, 241)(152, 216, 181, 245, 166, 230, 178, 242)(153, 217, 174, 238, 167, 231, 183, 247)(156, 220, 179, 243, 164, 228, 182, 246)(157, 221, 184, 248, 165, 229, 175, 239)(185, 249, 190, 254, 192, 256, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 144)(7, 147)(8, 130)(9, 152)(10, 133)(11, 156)(12, 159)(13, 132)(14, 164)(15, 166)(16, 169)(17, 134)(18, 174)(19, 136)(20, 178)(21, 181)(22, 183)(23, 185)(24, 170)(25, 137)(26, 186)(27, 173)(28, 168)(29, 139)(30, 179)(31, 141)(32, 175)(33, 184)(34, 182)(35, 176)(36, 172)(37, 142)(38, 171)(39, 143)(40, 157)(41, 145)(42, 153)(43, 167)(44, 165)(45, 190)(46, 160)(47, 146)(48, 151)(49, 188)(50, 158)(51, 148)(52, 155)(53, 162)(54, 149)(55, 161)(56, 150)(57, 163)(58, 191)(59, 154)(60, 192)(61, 177)(62, 180)(63, 187)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.772
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.775 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 4>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^8, (T2 * T1 * T2 * T1^-1)^2, T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-2, T2 * T1^2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T1^-1 * T2 * T1^4 * T2 * T1^-3 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 48, 63, 60, 39, 54, 29)(17, 34, 49, 28, 53, 61, 58, 35)(32, 52, 62, 59, 36, 55, 64, 57)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 53)(33, 46)(35, 56)(37, 60)(38, 57)(40, 59)(41, 54)(42, 58)(45, 61)(47, 62)(50, 64)(51, 63)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.776 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 4>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2 * T1 * T2^-1)^2, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2^-3 * T1, (T2^-2 * T1 * T2^-2)^2 ]
Map::
	R = (1, 3, 8, 18, 37, 22, 10, 4)(2, 5, 12, 26, 50, 30, 14, 6)(7, 15, 32, 57, 43, 52, 33, 16)(9, 19, 38, 44, 36, 60, 40, 20)(11, 23, 45, 61, 56, 39, 46, 24)(13, 27, 51, 31, 49, 64, 53, 28)(17, 34, 58, 42, 21, 41, 59, 35)(25, 47, 62, 55, 29, 54, 63, 48)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 81)(74, 85)(76, 89)(78, 93)(79, 95)(80, 88)(82, 100)(83, 91)(84, 103)(86, 107)(87, 108)(90, 113)(92, 116)(94, 120)(96, 111)(97, 118)(98, 109)(99, 115)(101, 114)(102, 112)(104, 119)(105, 110)(106, 117)(121, 125)(122, 126)(123, 127)(124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.777
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.777 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 4>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2 * T1 * T2^-1)^2, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2^-3 * T1, (T2^-2 * T1 * T2^-2)^2 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 18, 82, 37, 101, 22, 86, 10, 74, 4, 68)(2, 66, 5, 69, 12, 76, 26, 90, 50, 114, 30, 94, 14, 78, 6, 70)(7, 71, 15, 79, 32, 96, 57, 121, 43, 107, 52, 116, 33, 97, 16, 80)(9, 73, 19, 83, 38, 102, 44, 108, 36, 100, 60, 124, 40, 104, 20, 84)(11, 75, 23, 87, 45, 109, 61, 125, 56, 120, 39, 103, 46, 110, 24, 88)(13, 77, 27, 91, 51, 115, 31, 95, 49, 113, 64, 128, 53, 117, 28, 92)(17, 81, 34, 98, 58, 122, 42, 106, 21, 85, 41, 105, 59, 123, 35, 99)(25, 89, 47, 111, 62, 126, 55, 119, 29, 93, 54, 118, 63, 127, 48, 112)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 81)(9, 68)(10, 85)(11, 69)(12, 89)(13, 70)(14, 93)(15, 95)(16, 88)(17, 72)(18, 100)(19, 91)(20, 103)(21, 74)(22, 107)(23, 108)(24, 80)(25, 76)(26, 113)(27, 83)(28, 116)(29, 78)(30, 120)(31, 79)(32, 111)(33, 118)(34, 109)(35, 115)(36, 82)(37, 114)(38, 112)(39, 84)(40, 119)(41, 110)(42, 117)(43, 86)(44, 87)(45, 98)(46, 105)(47, 96)(48, 102)(49, 90)(50, 101)(51, 99)(52, 92)(53, 106)(54, 97)(55, 104)(56, 94)(57, 125)(58, 126)(59, 127)(60, 128)(61, 121)(62, 122)(63, 123)(64, 124)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.776
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 4>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y1 * R * Y2 * R * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * R * Y2^-1 * R * Y2^-1 * Y1, Y2^8, Y2 * Y1 * Y2^-3 * R * Y2^-1 * R * Y2 * Y1, (Y2^-2 * R * Y2^-2)^2, (Y2^-2 * Y1 * Y2^-2)^2, (Y2^-2 * Y1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 31, 95)(16, 80, 24, 88)(18, 82, 36, 100)(19, 83, 27, 91)(20, 84, 39, 103)(22, 86, 43, 107)(23, 87, 44, 108)(26, 90, 49, 113)(28, 92, 52, 116)(30, 94, 56, 120)(32, 96, 47, 111)(33, 97, 54, 118)(34, 98, 45, 109)(35, 99, 51, 115)(37, 101, 50, 114)(38, 102, 48, 112)(40, 104, 55, 119)(41, 105, 46, 110)(42, 106, 53, 117)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 136, 200, 146, 210, 165, 229, 150, 214, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 154, 218, 178, 242, 158, 222, 142, 206, 134, 198)(135, 199, 143, 207, 160, 224, 185, 249, 171, 235, 180, 244, 161, 225, 144, 208)(137, 201, 147, 211, 166, 230, 172, 236, 164, 228, 188, 252, 168, 232, 148, 212)(139, 203, 151, 215, 173, 237, 189, 253, 184, 248, 167, 231, 174, 238, 152, 216)(141, 205, 155, 219, 179, 243, 159, 223, 177, 241, 192, 256, 181, 245, 156, 220)(145, 209, 162, 226, 186, 250, 170, 234, 149, 213, 169, 233, 187, 251, 163, 227)(153, 217, 175, 239, 190, 254, 183, 247, 157, 221, 182, 246, 191, 255, 176, 240)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 152)(17, 136)(18, 164)(19, 155)(20, 167)(21, 138)(22, 171)(23, 172)(24, 144)(25, 140)(26, 177)(27, 147)(28, 180)(29, 142)(30, 184)(31, 143)(32, 175)(33, 182)(34, 173)(35, 179)(36, 146)(37, 178)(38, 176)(39, 148)(40, 183)(41, 174)(42, 181)(43, 150)(44, 151)(45, 162)(46, 169)(47, 160)(48, 166)(49, 154)(50, 165)(51, 163)(52, 156)(53, 170)(54, 161)(55, 168)(56, 158)(57, 189)(58, 190)(59, 191)(60, 192)(61, 185)(62, 186)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E9.779
Graph:: bipartite
	v = 40 e = 128 f = 72
	degree seq :: [ 4^32, 16^8 ]

E9.779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 4>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1 * Y3 * Y1)^2, Y1^8, Y1 * Y3 * Y1^-3 * Y3 * Y1 * Y3 * Y1 * Y3, (Y3 * Y1^-4)^2, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-2 ]
Map::
	R = (1, 65, 2, 66, 5, 69, 11, 75, 23, 87, 22, 86, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 31, 95, 44, 108, 37, 101, 18, 82, 8, 72)(6, 70, 13, 77, 27, 91, 51, 115, 43, 107, 56, 120, 30, 94, 14, 78)(9, 73, 19, 83, 38, 102, 46, 110, 24, 88, 45, 109, 40, 104, 20, 84)(12, 76, 25, 89, 47, 111, 42, 106, 21, 85, 41, 105, 50, 114, 26, 90)(16, 80, 33, 97, 48, 112, 63, 127, 60, 124, 39, 103, 54, 118, 29, 93)(17, 81, 34, 98, 49, 113, 28, 92, 53, 117, 61, 125, 58, 122, 35, 99)(32, 96, 52, 116, 62, 126, 59, 123, 36, 100, 55, 119, 64, 128, 57, 121)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 144)(8, 145)(9, 132)(10, 149)(11, 152)(12, 133)(13, 156)(14, 157)(15, 160)(16, 135)(17, 136)(18, 164)(19, 162)(20, 167)(21, 138)(22, 171)(23, 172)(24, 139)(25, 176)(26, 177)(27, 180)(28, 141)(29, 142)(30, 183)(31, 181)(32, 143)(33, 174)(34, 147)(35, 184)(36, 146)(37, 188)(38, 185)(39, 148)(40, 187)(41, 182)(42, 186)(43, 150)(44, 151)(45, 189)(46, 161)(47, 190)(48, 153)(49, 154)(50, 192)(51, 191)(52, 155)(53, 159)(54, 169)(55, 158)(56, 163)(57, 166)(58, 170)(59, 168)(60, 165)(61, 173)(62, 175)(63, 179)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.778
Graph:: simple bipartite
	v = 72 e = 128 f = 40
	degree seq :: [ 2^64, 16^8 ]

E9.780 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^8, (T2 * T1^-4)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 42, 36, 18, 8)(6, 13, 27, 49, 41, 52, 30, 14)(9, 19, 37, 44, 24, 43, 38, 20)(12, 25, 45, 40, 21, 39, 48, 26)(16, 28, 46, 59, 58, 64, 55, 33)(17, 29, 47, 60, 53, 63, 56, 34)(32, 50, 61, 57, 35, 51, 62, 54)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 42)(25, 46)(26, 47)(27, 50)(30, 51)(31, 53)(36, 58)(37, 54)(38, 57)(39, 55)(40, 56)(43, 59)(44, 60)(45, 61)(48, 62)(49, 63)(52, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.781
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.781 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^8, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 12, 22, 31, 28, 17, 8)(6, 13, 21, 32, 30, 18, 9, 14)(15, 25, 33, 43, 40, 27, 16, 26)(23, 34, 42, 41, 29, 36, 24, 35)(37, 47, 52, 50, 39, 49, 38, 48)(44, 53, 51, 56, 46, 55, 45, 54)(57, 61, 60, 64, 59, 63, 58, 62)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 51)(43, 52)(47, 57)(48, 58)(49, 59)(50, 60)(53, 61)(54, 62)(55, 63)(56, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.780
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.782 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = (C4 : C8) : C2 (small group id <64, 12>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T2 * T1^-2)^2, T1^8, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 15, 25, 31, 22, 12, 8)(6, 13, 9, 18, 29, 32, 21, 14)(16, 26, 17, 28, 33, 43, 37, 27)(23, 34, 24, 36, 42, 41, 30, 35)(38, 47, 39, 49, 52, 50, 40, 48)(44, 53, 45, 55, 51, 56, 46, 54)(57, 61, 58, 62, 60, 64, 59, 63)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 51)(43, 52)(47, 57)(48, 58)(49, 59)(50, 60)(53, 61)(54, 62)(55, 63)(56, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.783 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^8, (T2^-3 * T1 * T2^-1)^2, T2 * T1 * T2^-2 * T1 * T2^3 * T1 * T2^-2 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 36, 22, 10, 4)(2, 5, 12, 26, 47, 30, 14, 6)(7, 15, 31, 53, 41, 54, 32, 16)(9, 19, 37, 58, 35, 57, 38, 20)(11, 23, 42, 59, 52, 60, 43, 24)(13, 27, 48, 64, 46, 63, 49, 28)(17, 33, 55, 40, 21, 39, 56, 34)(25, 44, 61, 51, 29, 50, 62, 45)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 81)(74, 85)(76, 89)(78, 93)(79, 87)(80, 91)(82, 99)(83, 88)(84, 92)(86, 105)(90, 110)(94, 116)(95, 108)(96, 114)(97, 106)(98, 112)(100, 111)(101, 109)(102, 115)(103, 107)(104, 113)(117, 127)(118, 124)(119, 125)(120, 126)(121, 123)(122, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.788
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.784 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2^8, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 17, 28, 19, 10, 4)(2, 5, 12, 22, 34, 24, 14, 6)(7, 15, 26, 39, 30, 18, 9, 16)(11, 20, 32, 44, 36, 23, 13, 21)(25, 37, 48, 41, 29, 40, 27, 38)(31, 42, 53, 46, 35, 45, 33, 43)(47, 57, 51, 60, 50, 59, 49, 58)(52, 61, 56, 64, 55, 63, 54, 62)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 76)(74, 78)(79, 89)(80, 91)(81, 90)(82, 93)(83, 94)(84, 95)(85, 97)(86, 96)(87, 99)(88, 100)(92, 98)(101, 111)(102, 113)(103, 112)(104, 114)(105, 115)(106, 116)(107, 118)(108, 117)(109, 119)(110, 120)(121, 125)(122, 126)(123, 127)(124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.787
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.785 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C4 : C8) : C2 (small group id <64, 12>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^2, T2^8, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 17, 28, 19, 10, 4)(2, 5, 12, 22, 34, 24, 14, 6)(7, 15, 9, 18, 30, 40, 27, 16)(11, 20, 13, 23, 36, 45, 33, 21)(25, 37, 26, 39, 50, 41, 29, 38)(31, 42, 32, 44, 55, 46, 35, 43)(47, 57, 48, 59, 51, 60, 49, 58)(52, 61, 53, 63, 56, 64, 54, 62)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 78)(74, 76)(79, 89)(80, 90)(81, 91)(82, 93)(83, 94)(84, 95)(85, 96)(86, 97)(87, 99)(88, 100)(92, 98)(101, 111)(102, 112)(103, 113)(104, 114)(105, 115)(106, 116)(107, 117)(108, 118)(109, 119)(110, 120)(121, 125)(122, 127)(123, 126)(124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.789
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.786 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2 * T1^-1 * T2^-3 * T1^-1, T2^8, T2 * T1^-2 * T2^3 * T1^-2, T1^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 44, 21, 15, 5)(2, 7, 19, 11, 27, 39, 22, 8)(4, 12, 26, 43, 33, 14, 24, 9)(6, 17, 37, 20, 41, 28, 40, 18)(13, 30, 48, 32, 47, 23, 46, 29)(16, 35, 54, 38, 57, 42, 56, 36)(31, 51, 60, 45, 59, 49, 61, 50)(34, 52, 62, 55, 64, 58, 63, 53)(65, 66, 70, 80, 98, 95, 77, 68)(67, 73, 87, 109, 116, 100, 92, 75)(69, 78, 96, 115, 117, 106, 84, 71)(72, 85, 107, 94, 114, 122, 102, 81)(74, 83, 101, 118, 126, 124, 112, 90)(76, 93, 113, 119, 99, 82, 103, 89)(79, 86, 104, 120, 127, 125, 110, 88)(91, 105, 121, 128, 123, 111, 97, 108)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.790
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.787 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^8, (T2^-3 * T1 * T2^-1)^2, T2 * T1 * T2^-2 * T1 * T2^3 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 18, 82, 36, 100, 22, 86, 10, 74, 4, 68)(2, 66, 5, 69, 12, 76, 26, 90, 47, 111, 30, 94, 14, 78, 6, 70)(7, 71, 15, 79, 31, 95, 53, 117, 41, 105, 54, 118, 32, 96, 16, 80)(9, 73, 19, 83, 37, 101, 58, 122, 35, 99, 57, 121, 38, 102, 20, 84)(11, 75, 23, 87, 42, 106, 59, 123, 52, 116, 60, 124, 43, 107, 24, 88)(13, 77, 27, 91, 48, 112, 64, 128, 46, 110, 63, 127, 49, 113, 28, 92)(17, 81, 33, 97, 55, 119, 40, 104, 21, 85, 39, 103, 56, 120, 34, 98)(25, 89, 44, 108, 61, 125, 51, 115, 29, 93, 50, 114, 62, 126, 45, 109)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 81)(9, 68)(10, 85)(11, 69)(12, 89)(13, 70)(14, 93)(15, 87)(16, 91)(17, 72)(18, 99)(19, 88)(20, 92)(21, 74)(22, 105)(23, 79)(24, 83)(25, 76)(26, 110)(27, 80)(28, 84)(29, 78)(30, 116)(31, 108)(32, 114)(33, 106)(34, 112)(35, 82)(36, 111)(37, 109)(38, 115)(39, 107)(40, 113)(41, 86)(42, 97)(43, 103)(44, 95)(45, 101)(46, 90)(47, 100)(48, 98)(49, 104)(50, 96)(51, 102)(52, 94)(53, 127)(54, 124)(55, 125)(56, 126)(57, 123)(58, 128)(59, 121)(60, 118)(61, 119)(62, 120)(63, 117)(64, 122)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.784
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.788 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2^8, (T2^-1 * T1)^8 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 17, 81, 28, 92, 19, 83, 10, 74, 4, 68)(2, 66, 5, 69, 12, 76, 22, 86, 34, 98, 24, 88, 14, 78, 6, 70)(7, 71, 15, 79, 26, 90, 39, 103, 30, 94, 18, 82, 9, 73, 16, 80)(11, 75, 20, 84, 32, 96, 44, 108, 36, 100, 23, 87, 13, 77, 21, 85)(25, 89, 37, 101, 48, 112, 41, 105, 29, 93, 40, 104, 27, 91, 38, 102)(31, 95, 42, 106, 53, 117, 46, 110, 35, 99, 45, 109, 33, 97, 43, 107)(47, 111, 57, 121, 51, 115, 60, 124, 50, 114, 59, 123, 49, 113, 58, 122)(52, 116, 61, 125, 56, 120, 64, 128, 55, 119, 63, 127, 54, 118, 62, 126)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 76)(9, 68)(10, 78)(11, 69)(12, 72)(13, 70)(14, 74)(15, 89)(16, 91)(17, 90)(18, 93)(19, 94)(20, 95)(21, 97)(22, 96)(23, 99)(24, 100)(25, 79)(26, 81)(27, 80)(28, 98)(29, 82)(30, 83)(31, 84)(32, 86)(33, 85)(34, 92)(35, 87)(36, 88)(37, 111)(38, 113)(39, 112)(40, 114)(41, 115)(42, 116)(43, 118)(44, 117)(45, 119)(46, 120)(47, 101)(48, 103)(49, 102)(50, 104)(51, 105)(52, 106)(53, 108)(54, 107)(55, 109)(56, 110)(57, 125)(58, 126)(59, 127)(60, 128)(61, 121)(62, 122)(63, 123)(64, 124)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.783
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.789 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C4 : C8) : C2 (small group id <64, 12>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^2, T2^8, (T2^-1 * T1)^8 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 17, 81, 28, 92, 19, 83, 10, 74, 4, 68)(2, 66, 5, 69, 12, 76, 22, 86, 34, 98, 24, 88, 14, 78, 6, 70)(7, 71, 15, 79, 9, 73, 18, 82, 30, 94, 40, 104, 27, 91, 16, 80)(11, 75, 20, 84, 13, 77, 23, 87, 36, 100, 45, 109, 33, 97, 21, 85)(25, 89, 37, 101, 26, 90, 39, 103, 50, 114, 41, 105, 29, 93, 38, 102)(31, 95, 42, 106, 32, 96, 44, 108, 55, 119, 46, 110, 35, 99, 43, 107)(47, 111, 57, 121, 48, 112, 59, 123, 51, 115, 60, 124, 49, 113, 58, 122)(52, 116, 61, 125, 53, 117, 63, 127, 56, 120, 64, 128, 54, 118, 62, 126)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 78)(9, 68)(10, 76)(11, 69)(12, 74)(13, 70)(14, 72)(15, 89)(16, 90)(17, 91)(18, 93)(19, 94)(20, 95)(21, 96)(22, 97)(23, 99)(24, 100)(25, 79)(26, 80)(27, 81)(28, 98)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 92)(35, 87)(36, 88)(37, 111)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(55, 109)(56, 110)(57, 125)(58, 127)(59, 126)(60, 128)(61, 121)(62, 123)(63, 122)(64, 124)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.785
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.790 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^8, (T2 * T1^-4)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67)(2, 66, 6, 70)(4, 68, 9, 73)(5, 69, 12, 76)(7, 71, 16, 80)(8, 72, 17, 81)(10, 74, 21, 85)(11, 75, 24, 88)(13, 77, 28, 92)(14, 78, 29, 93)(15, 79, 32, 96)(18, 82, 35, 99)(19, 83, 33, 97)(20, 84, 34, 98)(22, 86, 41, 105)(23, 87, 42, 106)(25, 89, 46, 110)(26, 90, 47, 111)(27, 91, 50, 114)(30, 94, 51, 115)(31, 95, 53, 117)(36, 100, 58, 122)(37, 101, 54, 118)(38, 102, 57, 121)(39, 103, 55, 119)(40, 104, 56, 120)(43, 107, 59, 123)(44, 108, 60, 124)(45, 109, 61, 125)(48, 112, 62, 126)(49, 113, 63, 127)(52, 116, 64, 128)
	L = (1, 66)(2, 69)(3, 71)(4, 65)(5, 75)(6, 77)(7, 79)(8, 67)(9, 83)(10, 68)(11, 87)(12, 89)(13, 91)(14, 70)(15, 95)(16, 92)(17, 93)(18, 72)(19, 101)(20, 73)(21, 103)(22, 74)(23, 86)(24, 107)(25, 109)(26, 76)(27, 113)(28, 110)(29, 111)(30, 78)(31, 106)(32, 114)(33, 80)(34, 81)(35, 115)(36, 82)(37, 108)(38, 84)(39, 112)(40, 85)(41, 116)(42, 100)(43, 102)(44, 88)(45, 104)(46, 123)(47, 124)(48, 90)(49, 105)(50, 125)(51, 126)(52, 94)(53, 127)(54, 96)(55, 97)(56, 98)(57, 99)(58, 128)(59, 122)(60, 117)(61, 121)(62, 118)(63, 120)(64, 119)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.786
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y2^-3 * Y1 * Y2^-1)^2, (Y2^2 * Y1 * Y2^-2 * Y1)^2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 23, 87)(16, 80, 27, 91)(18, 82, 35, 99)(19, 83, 24, 88)(20, 84, 28, 92)(22, 86, 41, 105)(26, 90, 46, 110)(30, 94, 52, 116)(31, 95, 44, 108)(32, 96, 50, 114)(33, 97, 42, 106)(34, 98, 48, 112)(36, 100, 47, 111)(37, 101, 45, 109)(38, 102, 51, 115)(39, 103, 43, 107)(40, 104, 49, 113)(53, 117, 63, 127)(54, 118, 60, 124)(55, 119, 61, 125)(56, 120, 62, 126)(57, 121, 59, 123)(58, 122, 64, 128)(129, 193, 131, 195, 136, 200, 146, 210, 164, 228, 150, 214, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 154, 218, 175, 239, 158, 222, 142, 206, 134, 198)(135, 199, 143, 207, 159, 223, 181, 245, 169, 233, 182, 246, 160, 224, 144, 208)(137, 201, 147, 211, 165, 229, 186, 250, 163, 227, 185, 249, 166, 230, 148, 212)(139, 203, 151, 215, 170, 234, 187, 251, 180, 244, 188, 252, 171, 235, 152, 216)(141, 205, 155, 219, 176, 240, 192, 256, 174, 238, 191, 255, 177, 241, 156, 220)(145, 209, 161, 225, 183, 247, 168, 232, 149, 213, 167, 231, 184, 248, 162, 226)(153, 217, 172, 236, 189, 253, 179, 243, 157, 221, 178, 242, 190, 254, 173, 237)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 151)(16, 155)(17, 136)(18, 163)(19, 152)(20, 156)(21, 138)(22, 169)(23, 143)(24, 147)(25, 140)(26, 174)(27, 144)(28, 148)(29, 142)(30, 180)(31, 172)(32, 178)(33, 170)(34, 176)(35, 146)(36, 175)(37, 173)(38, 179)(39, 171)(40, 177)(41, 150)(42, 161)(43, 167)(44, 159)(45, 165)(46, 154)(47, 164)(48, 162)(49, 168)(50, 160)(51, 166)(52, 158)(53, 191)(54, 188)(55, 189)(56, 190)(57, 187)(58, 192)(59, 185)(60, 182)(61, 183)(62, 184)(63, 181)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.796
Graph:: bipartite
	v = 40 e = 128 f = 72
	degree seq :: [ 4^32, 16^8 ]

E9.792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|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, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 12, 76)(10, 74, 14, 78)(15, 79, 25, 89)(16, 80, 27, 91)(17, 81, 26, 90)(18, 82, 29, 93)(19, 83, 30, 94)(20, 84, 31, 95)(21, 85, 33, 97)(22, 86, 32, 96)(23, 87, 35, 99)(24, 88, 36, 100)(28, 92, 34, 98)(37, 101, 47, 111)(38, 102, 49, 113)(39, 103, 48, 112)(40, 104, 50, 114)(41, 105, 51, 115)(42, 106, 52, 116)(43, 107, 54, 118)(44, 108, 53, 117)(45, 109, 55, 119)(46, 110, 56, 120)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 136, 200, 145, 209, 156, 220, 147, 211, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 150, 214, 162, 226, 152, 216, 142, 206, 134, 198)(135, 199, 143, 207, 154, 218, 167, 231, 158, 222, 146, 210, 137, 201, 144, 208)(139, 203, 148, 212, 160, 224, 172, 236, 164, 228, 151, 215, 141, 205, 149, 213)(153, 217, 165, 229, 176, 240, 169, 233, 157, 221, 168, 232, 155, 219, 166, 230)(159, 223, 170, 234, 181, 245, 174, 238, 163, 227, 173, 237, 161, 225, 171, 235)(175, 239, 185, 249, 179, 243, 188, 252, 178, 242, 187, 251, 177, 241, 186, 250)(180, 244, 189, 253, 184, 248, 192, 256, 183, 247, 191, 255, 182, 246, 190, 254)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 140)(9, 132)(10, 142)(11, 133)(12, 136)(13, 134)(14, 138)(15, 153)(16, 155)(17, 154)(18, 157)(19, 158)(20, 159)(21, 161)(22, 160)(23, 163)(24, 164)(25, 143)(26, 145)(27, 144)(28, 162)(29, 146)(30, 147)(31, 148)(32, 150)(33, 149)(34, 156)(35, 151)(36, 152)(37, 175)(38, 177)(39, 176)(40, 178)(41, 179)(42, 180)(43, 182)(44, 181)(45, 183)(46, 184)(47, 165)(48, 167)(49, 166)(50, 168)(51, 169)(52, 170)(53, 172)(54, 171)(55, 173)(56, 174)(57, 189)(58, 190)(59, 191)(60, 192)(61, 185)(62, 186)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E9.797
Graph:: bipartite
	v = 40 e = 128 f = 72
	degree seq :: [ 4^32, 16^8 ]

E9.793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C4 : C8) : C2 (small group id <64, 12>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-2)^2, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 14, 78)(10, 74, 12, 76)(15, 79, 25, 89)(16, 80, 26, 90)(17, 81, 27, 91)(18, 82, 29, 93)(19, 83, 30, 94)(20, 84, 31, 95)(21, 85, 32, 96)(22, 86, 33, 97)(23, 87, 35, 99)(24, 88, 36, 100)(28, 92, 34, 98)(37, 101, 47, 111)(38, 102, 48, 112)(39, 103, 49, 113)(40, 104, 50, 114)(41, 105, 51, 115)(42, 106, 52, 116)(43, 107, 53, 117)(44, 108, 54, 118)(45, 109, 55, 119)(46, 110, 56, 120)(57, 121, 61, 125)(58, 122, 63, 127)(59, 123, 62, 126)(60, 124, 64, 128)(129, 193, 131, 195, 136, 200, 145, 209, 156, 220, 147, 211, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 150, 214, 162, 226, 152, 216, 142, 206, 134, 198)(135, 199, 143, 207, 137, 201, 146, 210, 158, 222, 168, 232, 155, 219, 144, 208)(139, 203, 148, 212, 141, 205, 151, 215, 164, 228, 173, 237, 161, 225, 149, 213)(153, 217, 165, 229, 154, 218, 167, 231, 178, 242, 169, 233, 157, 221, 166, 230)(159, 223, 170, 234, 160, 224, 172, 236, 183, 247, 174, 238, 163, 227, 171, 235)(175, 239, 185, 249, 176, 240, 187, 251, 179, 243, 188, 252, 177, 241, 186, 250)(180, 244, 189, 253, 181, 245, 191, 255, 184, 248, 192, 256, 182, 246, 190, 254)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 142)(9, 132)(10, 140)(11, 133)(12, 138)(13, 134)(14, 136)(15, 153)(16, 154)(17, 155)(18, 157)(19, 158)(20, 159)(21, 160)(22, 161)(23, 163)(24, 164)(25, 143)(26, 144)(27, 145)(28, 162)(29, 146)(30, 147)(31, 148)(32, 149)(33, 150)(34, 156)(35, 151)(36, 152)(37, 175)(38, 176)(39, 177)(40, 178)(41, 179)(42, 180)(43, 181)(44, 182)(45, 183)(46, 184)(47, 165)(48, 166)(49, 167)(50, 168)(51, 169)(52, 170)(53, 171)(54, 172)(55, 173)(56, 174)(57, 189)(58, 191)(59, 190)(60, 192)(61, 185)(62, 187)(63, 186)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E9.798
Graph:: bipartite
	v = 40 e = 128 f = 72
	degree seq :: [ 4^32, 16^8 ]

E9.794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^3, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^2, Y1^8, Y2^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 16, 80, 34, 98, 27, 91, 13, 77, 4, 68)(3, 67, 9, 73, 17, 81, 8, 72, 21, 85, 35, 99, 28, 92, 11, 75)(5, 69, 14, 78, 18, 82, 37, 101, 30, 94, 12, 76, 20, 84, 7, 71)(10, 74, 24, 88, 36, 100, 23, 87, 42, 106, 22, 86, 43, 107, 26, 90)(15, 79, 32, 96, 38, 102, 29, 93, 41, 105, 19, 83, 39, 103, 31, 95)(25, 89, 47, 111, 52, 116, 46, 110, 57, 121, 45, 109, 58, 122, 44, 108)(33, 97, 49, 113, 53, 117, 40, 104, 55, 119, 50, 114, 54, 118, 51, 115)(48, 112, 56, 120, 62, 126, 61, 125, 64, 128, 60, 124, 63, 127, 59, 123)(129, 193, 131, 195, 138, 202, 153, 217, 176, 240, 161, 225, 143, 207, 133, 197)(130, 194, 135, 199, 147, 211, 168, 232, 184, 248, 172, 236, 150, 214, 136, 200)(132, 196, 140, 204, 157, 221, 177, 241, 187, 251, 173, 237, 151, 215, 137, 201)(134, 198, 145, 209, 164, 228, 180, 244, 190, 254, 181, 245, 166, 230, 146, 210)(139, 203, 155, 219, 165, 229, 160, 224, 179, 243, 188, 252, 174, 238, 152, 216)(141, 205, 156, 220, 171, 235, 186, 250, 191, 255, 182, 246, 167, 231, 148, 212)(142, 206, 159, 223, 178, 242, 189, 253, 175, 239, 154, 218, 163, 227, 144, 208)(149, 213, 170, 234, 185, 249, 192, 256, 183, 247, 169, 233, 158, 222, 162, 226)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 147)(8, 130)(9, 132)(10, 153)(11, 155)(12, 157)(13, 156)(14, 159)(15, 133)(16, 142)(17, 164)(18, 134)(19, 168)(20, 141)(21, 170)(22, 136)(23, 137)(24, 139)(25, 176)(26, 163)(27, 165)(28, 171)(29, 177)(30, 162)(31, 178)(32, 179)(33, 143)(34, 149)(35, 144)(36, 180)(37, 160)(38, 146)(39, 148)(40, 184)(41, 158)(42, 185)(43, 186)(44, 150)(45, 151)(46, 152)(47, 154)(48, 161)(49, 187)(50, 189)(51, 188)(52, 190)(53, 166)(54, 167)(55, 169)(56, 172)(57, 192)(58, 191)(59, 173)(60, 174)(61, 175)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.795
Graph:: bipartite
	v = 16 e = 128 f = 96
	degree seq :: [ 16^16 ]

E9.795 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^-3 * Y2 * Y3^4 * Y2 * Y3^-1, Y3^2 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3, (Y3^-2 * Y2 * Y3^2 * Y2)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194)(131, 195, 135, 199)(132, 196, 137, 201)(133, 197, 139, 203)(134, 198, 141, 205)(136, 200, 145, 209)(138, 202, 149, 213)(140, 204, 153, 217)(142, 206, 157, 221)(143, 207, 151, 215)(144, 208, 155, 219)(146, 210, 163, 227)(147, 211, 152, 216)(148, 212, 156, 220)(150, 214, 169, 233)(154, 218, 174, 238)(158, 222, 180, 244)(159, 223, 172, 236)(160, 224, 178, 242)(161, 225, 170, 234)(162, 226, 176, 240)(164, 228, 175, 239)(165, 229, 173, 237)(166, 230, 179, 243)(167, 231, 171, 235)(168, 232, 177, 241)(181, 245, 191, 255)(182, 246, 188, 252)(183, 247, 189, 253)(184, 248, 190, 254)(185, 249, 187, 251)(186, 250, 192, 256)
	L = (1, 131)(2, 133)(3, 136)(4, 129)(5, 140)(6, 130)(7, 143)(8, 146)(9, 147)(10, 132)(11, 151)(12, 154)(13, 155)(14, 134)(15, 159)(16, 135)(17, 161)(18, 164)(19, 165)(20, 137)(21, 167)(22, 138)(23, 170)(24, 139)(25, 172)(26, 175)(27, 176)(28, 141)(29, 178)(30, 142)(31, 181)(32, 144)(33, 183)(34, 145)(35, 185)(36, 150)(37, 186)(38, 148)(39, 184)(40, 149)(41, 182)(42, 187)(43, 152)(44, 189)(45, 153)(46, 191)(47, 158)(48, 192)(49, 156)(50, 190)(51, 157)(52, 188)(53, 169)(54, 160)(55, 168)(56, 162)(57, 166)(58, 163)(59, 180)(60, 171)(61, 179)(62, 173)(63, 177)(64, 174)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E9.794
Graph:: simple bipartite
	v = 96 e = 128 f = 16
	degree seq :: [ 2^64, 4^32 ]

E9.796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y1^8, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65, 2, 66, 5, 69, 11, 75, 20, 84, 19, 83, 10, 74, 4, 68)(3, 67, 7, 71, 12, 76, 22, 86, 31, 95, 28, 92, 17, 81, 8, 72)(6, 70, 13, 77, 21, 85, 32, 96, 30, 94, 18, 82, 9, 73, 14, 78)(15, 79, 25, 89, 33, 97, 43, 107, 40, 104, 27, 91, 16, 80, 26, 90)(23, 87, 34, 98, 42, 106, 41, 105, 29, 93, 36, 100, 24, 88, 35, 99)(37, 101, 47, 111, 52, 116, 50, 114, 39, 103, 49, 113, 38, 102, 48, 112)(44, 108, 53, 117, 51, 115, 56, 120, 46, 110, 55, 119, 45, 109, 54, 118)(57, 121, 61, 125, 60, 124, 64, 128, 59, 123, 63, 127, 58, 122, 62, 126)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 143)(8, 144)(9, 132)(10, 145)(11, 149)(12, 133)(13, 151)(14, 152)(15, 135)(16, 136)(17, 138)(18, 157)(19, 158)(20, 159)(21, 139)(22, 161)(23, 141)(24, 142)(25, 165)(26, 166)(27, 167)(28, 168)(29, 146)(30, 147)(31, 148)(32, 170)(33, 150)(34, 172)(35, 173)(36, 174)(37, 153)(38, 154)(39, 155)(40, 156)(41, 179)(42, 160)(43, 180)(44, 162)(45, 163)(46, 164)(47, 185)(48, 186)(49, 187)(50, 188)(51, 169)(52, 171)(53, 189)(54, 190)(55, 191)(56, 192)(57, 175)(58, 176)(59, 177)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.791
Graph:: simple bipartite
	v = 72 e = 128 f = 40
	degree seq :: [ 2^64, 16^8 ]

E9.797 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|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^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^8, Y3 * Y1^-4 * Y3^-1 * Y1^-4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 65, 2, 66, 5, 69, 11, 75, 23, 87, 22, 86, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 31, 95, 42, 106, 36, 100, 18, 82, 8, 72)(6, 70, 13, 77, 27, 91, 49, 113, 41, 105, 52, 116, 30, 94, 14, 78)(9, 73, 19, 83, 37, 101, 44, 108, 24, 88, 43, 107, 38, 102, 20, 84)(12, 76, 25, 89, 45, 109, 40, 104, 21, 85, 39, 103, 48, 112, 26, 90)(16, 80, 28, 92, 46, 110, 59, 123, 58, 122, 64, 128, 55, 119, 33, 97)(17, 81, 29, 93, 47, 111, 60, 124, 53, 117, 63, 127, 56, 120, 34, 98)(32, 96, 50, 114, 61, 125, 57, 121, 35, 99, 51, 115, 62, 126, 54, 118)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 144)(8, 145)(9, 132)(10, 149)(11, 152)(12, 133)(13, 156)(14, 157)(15, 160)(16, 135)(17, 136)(18, 163)(19, 161)(20, 162)(21, 138)(22, 169)(23, 170)(24, 139)(25, 174)(26, 175)(27, 178)(28, 141)(29, 142)(30, 179)(31, 181)(32, 143)(33, 147)(34, 148)(35, 146)(36, 186)(37, 182)(38, 185)(39, 183)(40, 184)(41, 150)(42, 151)(43, 187)(44, 188)(45, 189)(46, 153)(47, 154)(48, 190)(49, 191)(50, 155)(51, 158)(52, 192)(53, 159)(54, 165)(55, 167)(56, 168)(57, 166)(58, 164)(59, 171)(60, 172)(61, 173)(62, 176)(63, 177)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.792
Graph:: simple bipartite
	v = 72 e = 128 f = 40
	degree seq :: [ 2^64, 16^8 ]

E9.798 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C4 : C8) : C2 (small group id <64, 12>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y1^8, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 65, 2, 66, 5, 69, 11, 75, 20, 84, 19, 83, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 25, 89, 31, 95, 22, 86, 12, 76, 8, 72)(6, 70, 13, 77, 9, 73, 18, 82, 29, 93, 32, 96, 21, 85, 14, 78)(16, 80, 26, 90, 17, 81, 28, 92, 33, 97, 43, 107, 37, 101, 27, 91)(23, 87, 34, 98, 24, 88, 36, 100, 42, 106, 41, 105, 30, 94, 35, 99)(38, 102, 47, 111, 39, 103, 49, 113, 52, 116, 50, 114, 40, 104, 48, 112)(44, 108, 53, 117, 45, 109, 55, 119, 51, 115, 56, 120, 46, 110, 54, 118)(57, 121, 61, 125, 58, 122, 62, 126, 60, 124, 64, 128, 59, 123, 63, 127)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 144)(8, 145)(9, 132)(10, 143)(11, 149)(12, 133)(13, 151)(14, 152)(15, 138)(16, 135)(17, 136)(18, 158)(19, 157)(20, 159)(21, 139)(22, 161)(23, 141)(24, 142)(25, 165)(26, 166)(27, 167)(28, 168)(29, 147)(30, 146)(31, 148)(32, 170)(33, 150)(34, 172)(35, 173)(36, 174)(37, 153)(38, 154)(39, 155)(40, 156)(41, 179)(42, 160)(43, 180)(44, 162)(45, 163)(46, 164)(47, 185)(48, 186)(49, 187)(50, 188)(51, 169)(52, 171)(53, 189)(54, 190)(55, 191)(56, 192)(57, 175)(58, 176)(59, 177)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.793
Graph:: simple bipartite
	v = 72 e = 128 f = 40
	degree seq :: [ 2^64, 16^8 ]

E9.799 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = (C8 : C4) : C2 (small group id <64, 10>)
Aut   = $<128, 387>$ (small group id <128, 387>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^8, (T2 * T1^-4)^2, T2 * T1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 50, 40, 56, 28, 55, 34)(17, 35, 51, 41, 58, 29, 57, 36)(32, 54, 63, 62, 37, 59, 64, 61)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 58)(33, 60)(34, 47)(35, 53)(36, 48)(38, 56)(39, 61)(42, 62)(43, 55)(44, 57)(49, 63)(52, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.800 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C8 : C4) : C2 (small group id <64, 10>)
Aut   = $<128, 387>$ (small group id <128, 387>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-3 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 54, 45, 46, 34, 16)(9, 19, 40, 56, 37, 48, 42, 20)(11, 23, 47, 39, 60, 31, 49, 24)(13, 27, 55, 41, 52, 33, 57, 28)(17, 35, 61, 44, 21, 43, 62, 36)(25, 50, 63, 59, 29, 58, 64, 51)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 81)(74, 85)(76, 89)(78, 93)(79, 95)(80, 97)(82, 101)(83, 103)(84, 105)(86, 109)(87, 110)(88, 112)(90, 116)(91, 118)(92, 120)(94, 124)(96, 114)(98, 122)(99, 111)(100, 119)(102, 117)(104, 115)(106, 123)(107, 113)(108, 121)(125, 127)(126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.801
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.801 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C8 : C4) : C2 (small group id <64, 10>)
Aut   = $<128, 387>$ (small group id <128, 387>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-3 * T1 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 18, 82, 38, 102, 22, 86, 10, 74, 4, 68)(2, 66, 5, 69, 12, 76, 26, 90, 53, 117, 30, 94, 14, 78, 6, 70)(7, 71, 15, 79, 32, 96, 54, 118, 45, 109, 46, 110, 34, 98, 16, 80)(9, 73, 19, 83, 40, 104, 56, 120, 37, 101, 48, 112, 42, 106, 20, 84)(11, 75, 23, 87, 47, 111, 39, 103, 60, 124, 31, 95, 49, 113, 24, 88)(13, 77, 27, 91, 55, 119, 41, 105, 52, 116, 33, 97, 57, 121, 28, 92)(17, 81, 35, 99, 61, 125, 44, 108, 21, 85, 43, 107, 62, 126, 36, 100)(25, 89, 50, 114, 63, 127, 59, 123, 29, 93, 58, 122, 64, 128, 51, 115)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 81)(9, 68)(10, 85)(11, 69)(12, 89)(13, 70)(14, 93)(15, 95)(16, 97)(17, 72)(18, 101)(19, 103)(20, 105)(21, 74)(22, 109)(23, 110)(24, 112)(25, 76)(26, 116)(27, 118)(28, 120)(29, 78)(30, 124)(31, 79)(32, 114)(33, 80)(34, 122)(35, 111)(36, 119)(37, 82)(38, 117)(39, 83)(40, 115)(41, 84)(42, 123)(43, 113)(44, 121)(45, 86)(46, 87)(47, 99)(48, 88)(49, 107)(50, 96)(51, 104)(52, 90)(53, 102)(54, 91)(55, 100)(56, 92)(57, 108)(58, 98)(59, 106)(60, 94)(61, 127)(62, 128)(63, 125)(64, 126)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.800
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.802 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C4) : C2 (small group id <64, 10>)
Aut   = $<128, 387>$ (small group id <128, 387>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, Y2^-3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1, R * Y2^3 * R * Y1 * Y2^3 * Y1, Y2 * R * Y2^3 * R * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^-1 * R * Y2^-3 * R * Y2 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 31, 95)(16, 80, 33, 97)(18, 82, 37, 101)(19, 83, 39, 103)(20, 84, 41, 105)(22, 86, 45, 109)(23, 87, 46, 110)(24, 88, 48, 112)(26, 90, 52, 116)(27, 91, 54, 118)(28, 92, 56, 120)(30, 94, 60, 124)(32, 96, 50, 114)(34, 98, 58, 122)(35, 99, 47, 111)(36, 100, 55, 119)(38, 102, 53, 117)(40, 104, 51, 115)(42, 106, 59, 123)(43, 107, 49, 113)(44, 108, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 136, 200, 146, 210, 166, 230, 150, 214, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 154, 218, 181, 245, 158, 222, 142, 206, 134, 198)(135, 199, 143, 207, 160, 224, 182, 246, 173, 237, 174, 238, 162, 226, 144, 208)(137, 201, 147, 211, 168, 232, 184, 248, 165, 229, 176, 240, 170, 234, 148, 212)(139, 203, 151, 215, 175, 239, 167, 231, 188, 252, 159, 223, 177, 241, 152, 216)(141, 205, 155, 219, 183, 247, 169, 233, 180, 244, 161, 225, 185, 249, 156, 220)(145, 209, 163, 227, 189, 253, 172, 236, 149, 213, 171, 235, 190, 254, 164, 228)(153, 217, 178, 242, 191, 255, 187, 251, 157, 221, 186, 250, 192, 256, 179, 243)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 178)(33, 144)(34, 186)(35, 175)(36, 183)(37, 146)(38, 181)(39, 147)(40, 179)(41, 148)(42, 187)(43, 177)(44, 185)(45, 150)(46, 151)(47, 163)(48, 152)(49, 171)(50, 160)(51, 168)(52, 154)(53, 166)(54, 155)(55, 164)(56, 156)(57, 172)(58, 162)(59, 170)(60, 158)(61, 191)(62, 192)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E9.803
Graph:: bipartite
	v = 40 e = 128 f = 72
	degree seq :: [ 4^32, 16^8 ]

E9.803 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C4) : C2 (small group id <64, 10>)
Aut   = $<128, 387>$ (small group id <128, 387>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^8, (Y3 * Y1^-4)^2, Y3 * Y1^3 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 65, 2, 66, 5, 69, 11, 75, 23, 87, 22, 86, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 31, 95, 46, 110, 38, 102, 18, 82, 8, 72)(6, 70, 13, 77, 27, 91, 53, 117, 45, 109, 60, 124, 30, 94, 14, 78)(9, 73, 19, 83, 39, 103, 48, 112, 24, 88, 47, 111, 42, 106, 20, 84)(12, 76, 25, 89, 49, 113, 44, 108, 21, 85, 43, 107, 52, 116, 26, 90)(16, 80, 33, 97, 50, 114, 40, 104, 56, 120, 28, 92, 55, 119, 34, 98)(17, 81, 35, 99, 51, 115, 41, 105, 58, 122, 29, 93, 57, 121, 36, 100)(32, 96, 54, 118, 63, 127, 62, 126, 37, 101, 59, 123, 64, 128, 61, 125)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 144)(8, 145)(9, 132)(10, 149)(11, 152)(12, 133)(13, 156)(14, 157)(15, 160)(16, 135)(17, 136)(18, 165)(19, 168)(20, 169)(21, 138)(22, 173)(23, 174)(24, 139)(25, 178)(26, 179)(27, 182)(28, 141)(29, 142)(30, 187)(31, 186)(32, 143)(33, 188)(34, 175)(35, 181)(36, 176)(37, 146)(38, 184)(39, 189)(40, 147)(41, 148)(42, 190)(43, 183)(44, 185)(45, 150)(46, 151)(47, 162)(48, 164)(49, 191)(50, 153)(51, 154)(52, 192)(53, 163)(54, 155)(55, 171)(56, 166)(57, 172)(58, 159)(59, 158)(60, 161)(61, 167)(62, 170)(63, 177)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.802
Graph:: simple bipartite
	v = 72 e = 128 f = 40
	degree seq :: [ 2^64, 16^8 ]

E9.804 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2 (small group id <64, 36>)
Aut   = $<128, 934>$ (small group id <128, 934>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^8, T1^-1 * T2 * T1^4 * T2 * T1^-3, T2 * T1 * T2 * T1^-3 * T2 * T1 * T2 * T1, T2 * T1 * T2 * T1^3 * T2 * T1 * T2 * T1^-1, (T2 * T1^-2 * T2 * T1^2)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 58, 29, 57, 41, 50, 34)(17, 35, 56, 28, 55, 40, 51, 36)(32, 59, 63, 62, 37, 54, 64, 61)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 55)(33, 48)(34, 53)(35, 47)(36, 60)(38, 57)(39, 62)(42, 61)(43, 58)(44, 56)(49, 63)(52, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 32 f = 8
	degree seq :: [ 8^8 ]

E9.805 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2 (small group id <64, 36>)
Aut   = $<128, 934>$ (small group id <128, 934>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-2 * T1 * T2^-2)^2, T2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1, T2 * T1 * T2 * T1 * T2^-3 * T1 * T2 * T1 ]
Map::
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 48, 45, 56, 34, 16)(9, 19, 40, 46, 37, 54, 42, 20)(11, 23, 47, 33, 60, 41, 49, 24)(13, 27, 55, 31, 52, 39, 57, 28)(17, 35, 61, 44, 21, 43, 62, 36)(25, 50, 63, 59, 29, 58, 64, 51)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 81)(74, 85)(76, 89)(78, 93)(79, 95)(80, 97)(82, 101)(83, 103)(84, 105)(86, 109)(87, 110)(88, 112)(90, 116)(91, 118)(92, 120)(94, 124)(96, 122)(98, 114)(99, 113)(100, 121)(102, 117)(104, 123)(106, 115)(107, 111)(108, 119)(125, 127)(126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E9.806
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 64 f = 8
	degree seq :: [ 2^32, 8^8 ]

E9.806 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2 (small group id <64, 36>)
Aut   = $<128, 934>$ (small group id <128, 934>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-2 * T1 * T2^-2)^2, T2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1, T2 * T1 * T2 * T1 * T2^-3 * T1 * T2 * T1 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 18, 82, 38, 102, 22, 86, 10, 74, 4, 68)(2, 66, 5, 69, 12, 76, 26, 90, 53, 117, 30, 94, 14, 78, 6, 70)(7, 71, 15, 79, 32, 96, 48, 112, 45, 109, 56, 120, 34, 98, 16, 80)(9, 73, 19, 83, 40, 104, 46, 110, 37, 101, 54, 118, 42, 106, 20, 84)(11, 75, 23, 87, 47, 111, 33, 97, 60, 124, 41, 105, 49, 113, 24, 88)(13, 77, 27, 91, 55, 119, 31, 95, 52, 116, 39, 103, 57, 121, 28, 92)(17, 81, 35, 99, 61, 125, 44, 108, 21, 85, 43, 107, 62, 126, 36, 100)(25, 89, 50, 114, 63, 127, 59, 123, 29, 93, 58, 122, 64, 128, 51, 115)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 81)(9, 68)(10, 85)(11, 69)(12, 89)(13, 70)(14, 93)(15, 95)(16, 97)(17, 72)(18, 101)(19, 103)(20, 105)(21, 74)(22, 109)(23, 110)(24, 112)(25, 76)(26, 116)(27, 118)(28, 120)(29, 78)(30, 124)(31, 79)(32, 122)(33, 80)(34, 114)(35, 113)(36, 121)(37, 82)(38, 117)(39, 83)(40, 123)(41, 84)(42, 115)(43, 111)(44, 119)(45, 86)(46, 87)(47, 107)(48, 88)(49, 99)(50, 98)(51, 106)(52, 90)(53, 102)(54, 91)(55, 108)(56, 92)(57, 100)(58, 96)(59, 104)(60, 94)(61, 127)(62, 128)(63, 125)(64, 126)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.805
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 40
	degree seq :: [ 16^8 ]

E9.807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2 (small group id <64, 36>)
Aut   = $<128, 934>$ (small group id <128, 934>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y2^-2 * Y1 * Y2^-2)^2, Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, (Y2^-2 * R * Y2^-2)^2, Y2^-3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^-1 * R * Y2^3 * R * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 31, 95)(16, 80, 33, 97)(18, 82, 37, 101)(19, 83, 39, 103)(20, 84, 41, 105)(22, 86, 45, 109)(23, 87, 46, 110)(24, 88, 48, 112)(26, 90, 52, 116)(27, 91, 54, 118)(28, 92, 56, 120)(30, 94, 60, 124)(32, 96, 58, 122)(34, 98, 50, 114)(35, 99, 49, 113)(36, 100, 57, 121)(38, 102, 53, 117)(40, 104, 59, 123)(42, 106, 51, 115)(43, 107, 47, 111)(44, 108, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 136, 200, 146, 210, 166, 230, 150, 214, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 154, 218, 181, 245, 158, 222, 142, 206, 134, 198)(135, 199, 143, 207, 160, 224, 176, 240, 173, 237, 184, 248, 162, 226, 144, 208)(137, 201, 147, 211, 168, 232, 174, 238, 165, 229, 182, 246, 170, 234, 148, 212)(139, 203, 151, 215, 175, 239, 161, 225, 188, 252, 169, 233, 177, 241, 152, 216)(141, 205, 155, 219, 183, 247, 159, 223, 180, 244, 167, 231, 185, 249, 156, 220)(145, 209, 163, 227, 189, 253, 172, 236, 149, 213, 171, 235, 190, 254, 164, 228)(153, 217, 178, 242, 191, 255, 187, 251, 157, 221, 186, 250, 192, 256, 179, 243)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 186)(33, 144)(34, 178)(35, 177)(36, 185)(37, 146)(38, 181)(39, 147)(40, 187)(41, 148)(42, 179)(43, 175)(44, 183)(45, 150)(46, 151)(47, 171)(48, 152)(49, 163)(50, 162)(51, 170)(52, 154)(53, 166)(54, 155)(55, 172)(56, 156)(57, 164)(58, 160)(59, 168)(60, 158)(61, 191)(62, 192)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E9.808
Graph:: bipartite
	v = 40 e = 128 f = 72
	degree seq :: [ 4^32, 16^8 ]

E9.808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2 (small group id <64, 36>)
Aut   = $<128, 934>$ (small group id <128, 934>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^8, Y1^8, (Y3 * Y1^-4)^2, Y3 * Y1^-3 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 5, 69, 11, 75, 23, 87, 22, 86, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 31, 95, 46, 110, 38, 102, 18, 82, 8, 72)(6, 70, 13, 77, 27, 91, 53, 117, 45, 109, 60, 124, 30, 94, 14, 78)(9, 73, 19, 83, 39, 103, 48, 112, 24, 88, 47, 111, 42, 106, 20, 84)(12, 76, 25, 89, 49, 113, 44, 108, 21, 85, 43, 107, 52, 116, 26, 90)(16, 80, 33, 97, 58, 122, 29, 93, 57, 121, 41, 105, 50, 114, 34, 98)(17, 81, 35, 99, 56, 120, 28, 92, 55, 119, 40, 104, 51, 115, 36, 100)(32, 96, 59, 123, 63, 127, 62, 126, 37, 101, 54, 118, 64, 128, 61, 125)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 144)(8, 145)(9, 132)(10, 149)(11, 152)(12, 133)(13, 156)(14, 157)(15, 160)(16, 135)(17, 136)(18, 165)(19, 168)(20, 169)(21, 138)(22, 173)(23, 174)(24, 139)(25, 178)(26, 179)(27, 182)(28, 141)(29, 142)(30, 187)(31, 183)(32, 143)(33, 176)(34, 181)(35, 175)(36, 188)(37, 146)(38, 185)(39, 190)(40, 147)(41, 148)(42, 189)(43, 186)(44, 184)(45, 150)(46, 151)(47, 163)(48, 161)(49, 191)(50, 153)(51, 154)(52, 192)(53, 162)(54, 155)(55, 159)(56, 172)(57, 166)(58, 171)(59, 158)(60, 164)(61, 170)(62, 167)(63, 177)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.807
Graph:: simple bipartite
	v = 72 e = 128 f = 40
	degree seq :: [ 2^64, 16^8 ]

E9.809 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 36})
Quotient :: regular
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^-2 * T2 * T1^7 * T2 * T1^-9 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 72, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 70, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 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, 69)(68, 71)
	local type(s) :: { ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E9.810
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 36 f = 18
	degree seq :: [ 36^2 ]

E9.810 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 36})
Quotient :: regular
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-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, 60, 32, 59)(35, 62, 39, 61)(36, 64, 38, 63)(37, 58, 44, 57)(40, 55, 43, 56)(41, 67, 42, 68)(45, 69, 46, 70)(47, 49, 48, 50)(51, 71, 52, 72)(53, 65, 54, 66)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 65)(34, 66)(35, 56)(36, 58)(37, 50)(38, 57)(39, 55)(40, 47)(41, 62)(42, 61)(43, 48)(44, 49)(45, 64)(46, 63)(51, 67)(52, 68)(53, 69)(54, 70)(59, 71)(60, 72)
	local type(s) :: { ( 36^4 ) }
Outer automorphisms :: reflexible
Dual of E9.809
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 36 f = 2
	degree seq :: [ 4^18 ]

E9.811 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 36})
Quotient :: edge
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|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^-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, 38, 34, 35)(36, 51, 41, 52)(37, 58, 39, 55)(40, 61, 42, 56)(43, 59, 44, 57)(45, 62, 46, 60)(47, 64, 48, 63)(49, 66, 50, 65)(53, 68, 54, 67)(69, 71, 70, 72)(73, 74)(75, 79)(76, 81)(77, 82)(78, 84)(80, 83)(85, 89)(86, 90)(87, 91)(88, 92)(93, 97)(94, 98)(95, 99)(96, 100)(101, 105)(102, 106)(103, 123)(104, 124)(107, 127)(108, 128)(109, 129)(110, 130)(111, 131)(112, 132)(113, 133)(114, 134)(115, 135)(116, 136)(117, 137)(118, 138)(119, 139)(120, 140)(121, 141)(122, 142)(125, 143)(126, 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) :: { ( 72, 72 ), ( 72^4 ) }
Outer automorphisms :: reflexible
Dual of E9.815
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 72 f = 2
	degree seq :: [ 2^36, 4^18 ]

E9.812 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 36})
Quotient :: edge
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^-1 * T2^-18 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 72, 64, 56, 48, 40, 32, 24, 16, 8)(73, 74, 78, 76)(75, 81, 85, 80)(77, 83, 86, 79)(82, 88, 93, 89)(84, 87, 94, 91)(90, 97, 101, 96)(92, 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, 143, 140, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4^4 ), ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E9.816
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 72 f = 36
	degree seq :: [ 4^18, 36^2 ]

E9.813 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 36})
Quotient :: edge
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^7 * T2 * T1^-9 ]
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, 69)(68, 71)(73, 74, 77, 83, 92, 101, 109, 117, 125, 133, 141, 138, 130, 122, 114, 106, 98, 88, 95, 89, 96, 104, 112, 120, 128, 136, 144, 140, 132, 124, 116, 108, 100, 91, 82, 76)(75, 79, 87, 97, 105, 113, 121, 129, 137, 142, 135, 126, 119, 110, 103, 93, 86, 78, 85, 81, 90, 99, 107, 115, 123, 131, 139, 143, 134, 127, 118, 111, 102, 94, 84, 80)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 8 ), ( 8^36 ) }
Outer automorphisms :: reflexible
Dual of E9.814
Transitivity :: ET+
Graph:: simple bipartite
	v = 38 e = 72 f = 18
	degree seq :: [ 2^36, 36^2 ]

E9.814 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 36})
Quotient :: loop
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|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^-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, 73, 3, 75, 8, 80, 4, 76)(2, 74, 5, 77, 11, 83, 6, 78)(7, 79, 13, 85, 9, 81, 14, 86)(10, 82, 15, 87, 12, 84, 16, 88)(17, 89, 21, 93, 18, 90, 22, 94)(19, 91, 23, 95, 20, 92, 24, 96)(25, 97, 29, 101, 26, 98, 30, 102)(27, 99, 31, 103, 28, 100, 32, 104)(33, 105, 38, 110, 34, 106, 35, 107)(36, 108, 51, 123, 41, 113, 52, 124)(37, 109, 58, 130, 39, 111, 55, 127)(40, 112, 61, 133, 42, 114, 56, 128)(43, 115, 59, 131, 44, 116, 57, 129)(45, 117, 62, 134, 46, 118, 60, 132)(47, 119, 64, 136, 48, 120, 63, 135)(49, 121, 66, 138, 50, 122, 65, 137)(53, 125, 68, 140, 54, 126, 67, 139)(69, 141, 71, 143, 70, 142, 72, 144)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 82)(6, 84)(7, 75)(8, 83)(9, 76)(10, 77)(11, 80)(12, 78)(13, 89)(14, 90)(15, 91)(16, 92)(17, 85)(18, 86)(19, 87)(20, 88)(21, 97)(22, 98)(23, 99)(24, 100)(25, 93)(26, 94)(27, 95)(28, 96)(29, 105)(30, 106)(31, 123)(32, 124)(33, 101)(34, 102)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 103)(52, 104)(53, 143)(54, 144)(55, 107)(56, 108)(57, 109)(58, 110)(59, 111)(60, 112)(61, 113)(62, 114)(63, 115)(64, 116)(65, 117)(66, 118)(67, 119)(68, 120)(69, 121)(70, 122)(71, 125)(72, 126)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E9.813
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 38
	degree seq :: [ 8^18 ]

E9.815 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 36})
Quotient :: loop
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^-1 * T2^-18 * T1^-1 ]
Map::
	R = (1, 73, 3, 75, 10, 82, 18, 90, 26, 98, 34, 106, 42, 114, 50, 122, 58, 130, 66, 138, 70, 142, 62, 134, 54, 126, 46, 118, 38, 110, 30, 102, 22, 94, 14, 86, 6, 78, 13, 85, 21, 93, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 69, 141, 68, 140, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 20, 92, 12, 84, 5, 77)(2, 74, 7, 79, 15, 87, 23, 95, 31, 103, 39, 111, 47, 119, 55, 127, 63, 135, 71, 143, 65, 137, 57, 129, 49, 121, 41, 113, 33, 105, 25, 97, 17, 89, 9, 81, 4, 76, 11, 83, 19, 91, 27, 99, 35, 107, 43, 115, 51, 123, 59, 131, 67, 139, 72, 144, 64, 136, 56, 128, 48, 120, 40, 112, 32, 104, 24, 96, 16, 88, 8, 80)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 83)(6, 76)(7, 77)(8, 75)(9, 85)(10, 88)(11, 86)(12, 87)(13, 80)(14, 79)(15, 94)(16, 93)(17, 82)(18, 97)(19, 84)(20, 99)(21, 89)(22, 91)(23, 92)(24, 90)(25, 101)(26, 104)(27, 102)(28, 103)(29, 96)(30, 95)(31, 110)(32, 109)(33, 98)(34, 113)(35, 100)(36, 115)(37, 105)(38, 107)(39, 108)(40, 106)(41, 117)(42, 120)(43, 118)(44, 119)(45, 112)(46, 111)(47, 126)(48, 125)(49, 114)(50, 129)(51, 116)(52, 131)(53, 121)(54, 123)(55, 124)(56, 122)(57, 133)(58, 136)(59, 134)(60, 135)(61, 128)(62, 127)(63, 142)(64, 141)(65, 130)(66, 143)(67, 132)(68, 144)(69, 137)(70, 139)(71, 140)(72, 138)
	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 E9.811
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 72 f = 54
	degree seq :: [ 72^2 ]

E9.816 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 36})
Quotient :: loop
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^7 * T2 * T1^-9 ]
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, 26, 98)(19, 91, 27, 99)(20, 92, 30, 102)(22, 94, 32, 104)(25, 97, 34, 106)(28, 100, 33, 105)(29, 101, 38, 110)(31, 103, 40, 112)(35, 107, 42, 114)(36, 108, 43, 115)(37, 109, 46, 118)(39, 111, 48, 120)(41, 113, 50, 122)(44, 116, 49, 121)(45, 117, 54, 126)(47, 119, 56, 128)(51, 123, 58, 130)(52, 124, 59, 131)(53, 125, 62, 134)(55, 127, 64, 136)(57, 129, 66, 138)(60, 132, 65, 137)(61, 133, 70, 142)(63, 135, 72, 144)(67, 139, 69, 141)(68, 140, 71, 143)
	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, 95)(17, 96)(18, 99)(19, 82)(20, 101)(21, 86)(22, 84)(23, 89)(24, 104)(25, 105)(26, 88)(27, 107)(28, 91)(29, 109)(30, 94)(31, 93)(32, 112)(33, 113)(34, 98)(35, 115)(36, 100)(37, 117)(38, 103)(39, 102)(40, 120)(41, 121)(42, 106)(43, 123)(44, 108)(45, 125)(46, 111)(47, 110)(48, 128)(49, 129)(50, 114)(51, 131)(52, 116)(53, 133)(54, 119)(55, 118)(56, 136)(57, 137)(58, 122)(59, 139)(60, 124)(61, 141)(62, 127)(63, 126)(64, 144)(65, 142)(66, 130)(67, 143)(68, 132)(69, 138)(70, 135)(71, 134)(72, 140)
	local type(s) :: { ( 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E9.812
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 20
	degree seq :: [ 4^36 ]

E9.817 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-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^-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)^36 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 10, 82)(6, 78, 12, 84)(8, 80, 11, 83)(13, 85, 17, 89)(14, 86, 18, 90)(15, 87, 19, 91)(16, 88, 20, 92)(21, 93, 25, 97)(22, 94, 26, 98)(23, 95, 27, 99)(24, 96, 28, 100)(29, 101, 33, 105)(30, 102, 34, 106)(31, 103, 51, 123)(32, 104, 52, 124)(35, 107, 63, 135)(36, 108, 66, 138)(37, 109, 67, 139)(38, 110, 68, 140)(39, 111, 64, 136)(40, 112, 65, 137)(41, 113, 69, 141)(42, 114, 70, 142)(43, 115, 71, 143)(44, 116, 62, 134)(45, 117, 72, 144)(46, 118, 61, 133)(47, 119, 60, 132)(48, 120, 59, 131)(49, 121, 58, 130)(50, 122, 57, 129)(53, 125, 55, 127)(54, 126, 56, 128)(145, 217, 147, 219, 152, 224, 148, 220)(146, 218, 149, 221, 155, 227, 150, 222)(151, 223, 157, 229, 153, 225, 158, 230)(154, 226, 159, 231, 156, 228, 160, 232)(161, 233, 165, 237, 162, 234, 166, 238)(163, 235, 167, 239, 164, 236, 168, 240)(169, 241, 173, 245, 170, 242, 174, 246)(171, 243, 175, 247, 172, 244, 176, 248)(177, 249, 205, 277, 178, 250, 206, 278)(179, 251, 208, 280, 186, 258, 209, 281)(180, 252, 211, 283, 189, 261, 212, 284)(181, 253, 204, 276, 182, 254, 203, 275)(183, 255, 202, 274, 184, 256, 201, 273)(185, 257, 214, 286, 187, 259, 207, 279)(188, 260, 216, 288, 190, 262, 210, 282)(191, 263, 199, 271, 192, 264, 200, 272)(193, 265, 197, 269, 194, 266, 198, 270)(195, 267, 215, 287, 196, 268, 213, 285)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 154)(6, 156)(7, 147)(8, 155)(9, 148)(10, 149)(11, 152)(12, 150)(13, 161)(14, 162)(15, 163)(16, 164)(17, 157)(18, 158)(19, 159)(20, 160)(21, 169)(22, 170)(23, 171)(24, 172)(25, 165)(26, 166)(27, 167)(28, 168)(29, 177)(30, 178)(31, 195)(32, 196)(33, 173)(34, 174)(35, 207)(36, 210)(37, 211)(38, 212)(39, 208)(40, 209)(41, 213)(42, 214)(43, 215)(44, 206)(45, 216)(46, 205)(47, 204)(48, 203)(49, 202)(50, 201)(51, 175)(52, 176)(53, 199)(54, 200)(55, 197)(56, 198)(57, 194)(58, 193)(59, 192)(60, 191)(61, 190)(62, 188)(63, 179)(64, 183)(65, 184)(66, 180)(67, 181)(68, 182)(69, 185)(70, 186)(71, 187)(72, 189)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E9.820
Graph:: bipartite
	v = 54 e = 144 f = 74
	degree seq :: [ 4^36, 8^18 ]

E9.818 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^17 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 13, 85, 8, 80)(5, 77, 11, 83, 14, 86, 7, 79)(10, 82, 16, 88, 21, 93, 17, 89)(12, 84, 15, 87, 22, 94, 19, 91)(18, 90, 25, 97, 29, 101, 24, 96)(20, 92, 27, 99, 30, 102, 23, 95)(26, 98, 32, 104, 37, 109, 33, 105)(28, 100, 31, 103, 38, 110, 35, 107)(34, 106, 41, 113, 45, 117, 40, 112)(36, 108, 43, 115, 46, 118, 39, 111)(42, 114, 48, 120, 53, 125, 49, 121)(44, 116, 47, 119, 54, 126, 51, 123)(50, 122, 57, 129, 61, 133, 56, 128)(52, 124, 59, 131, 62, 134, 55, 127)(58, 130, 64, 136, 69, 141, 65, 137)(60, 132, 63, 135, 70, 142, 67, 139)(66, 138, 71, 143, 68, 140, 72, 144)(145, 217, 147, 219, 154, 226, 162, 234, 170, 242, 178, 250, 186, 258, 194, 266, 202, 274, 210, 282, 214, 286, 206, 278, 198, 270, 190, 262, 182, 254, 174, 246, 166, 238, 158, 230, 150, 222, 157, 229, 165, 237, 173, 245, 181, 253, 189, 261, 197, 269, 205, 277, 213, 285, 212, 284, 204, 276, 196, 268, 188, 260, 180, 252, 172, 244, 164, 236, 156, 228, 149, 221)(146, 218, 151, 223, 159, 231, 167, 239, 175, 247, 183, 255, 191, 263, 199, 271, 207, 279, 215, 287, 209, 281, 201, 273, 193, 265, 185, 257, 177, 249, 169, 241, 161, 233, 153, 225, 148, 220, 155, 227, 163, 235, 171, 243, 179, 251, 187, 259, 195, 267, 203, 275, 211, 283, 216, 288, 208, 280, 200, 272, 192, 264, 184, 256, 176, 248, 168, 240, 160, 232, 152, 224)
	L = (1, 147)(2, 151)(3, 154)(4, 155)(5, 145)(6, 157)(7, 159)(8, 146)(9, 148)(10, 162)(11, 163)(12, 149)(13, 165)(14, 150)(15, 167)(16, 152)(17, 153)(18, 170)(19, 171)(20, 156)(21, 173)(22, 158)(23, 175)(24, 160)(25, 161)(26, 178)(27, 179)(28, 164)(29, 181)(30, 166)(31, 183)(32, 168)(33, 169)(34, 186)(35, 187)(36, 172)(37, 189)(38, 174)(39, 191)(40, 176)(41, 177)(42, 194)(43, 195)(44, 180)(45, 197)(46, 182)(47, 199)(48, 184)(49, 185)(50, 202)(51, 203)(52, 188)(53, 205)(54, 190)(55, 207)(56, 192)(57, 193)(58, 210)(59, 211)(60, 196)(61, 213)(62, 198)(63, 215)(64, 200)(65, 201)(66, 214)(67, 216)(68, 204)(69, 212)(70, 206)(71, 209)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E9.819
Graph:: bipartite
	v = 20 e = 144 f = 108
	degree seq :: [ 8^18, 72^2 ]

E9.819 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|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, Y3^15 * Y2 * Y3^-1 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^36 ]
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, 164, 236)(160, 232, 167, 239)(161, 233, 169, 241)(162, 234, 165, 237)(163, 235, 171, 243)(166, 238, 173, 245)(168, 240, 175, 247)(170, 242, 176, 248)(172, 244, 174, 246)(177, 249, 183, 255)(178, 250, 185, 257)(179, 251, 181, 253)(180, 252, 187, 259)(182, 254, 189, 261)(184, 256, 191, 263)(186, 258, 192, 264)(188, 260, 190, 262)(193, 265, 199, 271)(194, 266, 201, 273)(195, 267, 197, 269)(196, 268, 203, 275)(198, 270, 205, 277)(200, 272, 207, 279)(202, 274, 208, 280)(204, 276, 206, 278)(209, 281, 215, 287)(210, 282, 214, 286)(211, 283, 213, 285)(212, 284, 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, 170)(18, 171)(19, 154)(20, 157)(21, 155)(22, 174)(23, 175)(24, 158)(25, 160)(26, 178)(27, 179)(28, 163)(29, 165)(30, 182)(31, 183)(32, 168)(33, 169)(34, 186)(35, 187)(36, 172)(37, 173)(38, 190)(39, 191)(40, 176)(41, 177)(42, 194)(43, 195)(44, 180)(45, 181)(46, 198)(47, 199)(48, 184)(49, 185)(50, 202)(51, 203)(52, 188)(53, 189)(54, 206)(55, 207)(56, 192)(57, 193)(58, 210)(59, 211)(60, 196)(61, 197)(62, 214)(63, 215)(64, 200)(65, 201)(66, 213)(67, 216)(68, 204)(69, 205)(70, 209)(71, 212)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 72 ), ( 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E9.818
Graph:: simple bipartite
	v = 108 e = 144 f = 20
	degree seq :: [ 2^72, 4^36 ]

E9.820 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y1^-2 * Y3 * Y1^7 * Y3 * Y1^-9 ]
Map::
	R = (1, 73, 2, 74, 5, 77, 11, 83, 20, 92, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 69, 141, 66, 138, 58, 130, 50, 122, 42, 114, 34, 106, 26, 98, 16, 88, 23, 95, 17, 89, 24, 96, 32, 104, 40, 112, 48, 120, 56, 128, 64, 136, 72, 144, 68, 140, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 19, 91, 10, 82, 4, 76)(3, 75, 7, 79, 15, 87, 25, 97, 33, 105, 41, 113, 49, 121, 57, 129, 65, 137, 70, 142, 63, 135, 54, 126, 47, 119, 38, 110, 31, 103, 21, 93, 14, 86, 6, 78, 13, 85, 9, 81, 18, 90, 27, 99, 35, 107, 43, 115, 51, 123, 59, 131, 67, 139, 71, 143, 62, 134, 55, 127, 46, 118, 39, 111, 30, 102, 22, 94, 12, 84, 8, 80)(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, 170)(19, 171)(20, 174)(21, 155)(22, 176)(23, 157)(24, 158)(25, 178)(26, 162)(27, 163)(28, 177)(29, 182)(30, 164)(31, 184)(32, 166)(33, 172)(34, 169)(35, 186)(36, 187)(37, 190)(38, 173)(39, 192)(40, 175)(41, 194)(42, 179)(43, 180)(44, 193)(45, 198)(46, 181)(47, 200)(48, 183)(49, 188)(50, 185)(51, 202)(52, 203)(53, 206)(54, 189)(55, 208)(56, 191)(57, 210)(58, 195)(59, 196)(60, 209)(61, 214)(62, 197)(63, 216)(64, 199)(65, 204)(66, 201)(67, 213)(68, 215)(69, 211)(70, 205)(71, 212)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E9.817
Graph:: simple bipartite
	v = 74 e = 144 f = 54
	degree seq :: [ 2^72, 72^2 ]

E9.821 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^4, Y2^13 * Y1 * Y2^-5 * Y1 ]
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, 20, 92)(16, 88, 23, 95)(17, 89, 25, 97)(18, 90, 21, 93)(19, 91, 27, 99)(22, 94, 29, 101)(24, 96, 31, 103)(26, 98, 32, 104)(28, 100, 30, 102)(33, 105, 39, 111)(34, 106, 41, 113)(35, 107, 37, 109)(36, 108, 43, 115)(38, 110, 45, 117)(40, 112, 47, 119)(42, 114, 48, 120)(44, 116, 46, 118)(49, 121, 55, 127)(50, 122, 57, 129)(51, 123, 53, 125)(52, 124, 59, 131)(54, 126, 61, 133)(56, 128, 63, 135)(58, 130, 64, 136)(60, 132, 62, 134)(65, 137, 71, 143)(66, 138, 70, 142)(67, 139, 69, 141)(68, 140, 72, 144)(145, 217, 147, 219, 152, 224, 161, 233, 170, 242, 178, 250, 186, 258, 194, 266, 202, 274, 210, 282, 213, 285, 205, 277, 197, 269, 189, 261, 181, 253, 173, 245, 165, 237, 155, 227, 164, 236, 157, 229, 167, 239, 175, 247, 183, 255, 191, 263, 199, 271, 207, 279, 215, 287, 212, 284, 204, 276, 196, 268, 188, 260, 180, 252, 172, 244, 163, 235, 154, 226, 148, 220)(146, 218, 149, 221, 156, 228, 166, 238, 174, 246, 182, 254, 190, 262, 198, 270, 206, 278, 214, 286, 209, 281, 201, 273, 193, 265, 185, 257, 177, 249, 169, 241, 160, 232, 151, 223, 159, 231, 153, 225, 162, 234, 171, 243, 179, 251, 187, 259, 195, 267, 203, 275, 211, 283, 216, 288, 208, 280, 200, 272, 192, 264, 184, 256, 176, 248, 168, 240, 158, 230, 150, 222)
	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, 164)(16, 167)(17, 169)(18, 165)(19, 171)(20, 159)(21, 162)(22, 173)(23, 160)(24, 175)(25, 161)(26, 176)(27, 163)(28, 174)(29, 166)(30, 172)(31, 168)(32, 170)(33, 183)(34, 185)(35, 181)(36, 187)(37, 179)(38, 189)(39, 177)(40, 191)(41, 178)(42, 192)(43, 180)(44, 190)(45, 182)(46, 188)(47, 184)(48, 186)(49, 199)(50, 201)(51, 197)(52, 203)(53, 195)(54, 205)(55, 193)(56, 207)(57, 194)(58, 208)(59, 196)(60, 206)(61, 198)(62, 204)(63, 200)(64, 202)(65, 215)(66, 214)(67, 213)(68, 216)(69, 211)(70, 210)(71, 209)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E9.822
Graph:: bipartite
	v = 38 e = 144 f = 90
	degree seq :: [ 4^36, 72^2 ]

E9.822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|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^-18 * Y1^-1, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 13, 85, 8, 80)(5, 77, 11, 83, 14, 86, 7, 79)(10, 82, 16, 88, 21, 93, 17, 89)(12, 84, 15, 87, 22, 94, 19, 91)(18, 90, 25, 97, 29, 101, 24, 96)(20, 92, 27, 99, 30, 102, 23, 95)(26, 98, 32, 104, 37, 109, 33, 105)(28, 100, 31, 103, 38, 110, 35, 107)(34, 106, 41, 113, 45, 117, 40, 112)(36, 108, 43, 115, 46, 118, 39, 111)(42, 114, 48, 120, 53, 125, 49, 121)(44, 116, 47, 119, 54, 126, 51, 123)(50, 122, 57, 129, 61, 133, 56, 128)(52, 124, 59, 131, 62, 134, 55, 127)(58, 130, 64, 136, 69, 141, 65, 137)(60, 132, 63, 135, 70, 142, 67, 139)(66, 138, 71, 143, 68, 140, 72, 144)(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, 157)(7, 159)(8, 146)(9, 148)(10, 162)(11, 163)(12, 149)(13, 165)(14, 150)(15, 167)(16, 152)(17, 153)(18, 170)(19, 171)(20, 156)(21, 173)(22, 158)(23, 175)(24, 160)(25, 161)(26, 178)(27, 179)(28, 164)(29, 181)(30, 166)(31, 183)(32, 168)(33, 169)(34, 186)(35, 187)(36, 172)(37, 189)(38, 174)(39, 191)(40, 176)(41, 177)(42, 194)(43, 195)(44, 180)(45, 197)(46, 182)(47, 199)(48, 184)(49, 185)(50, 202)(51, 203)(52, 188)(53, 205)(54, 190)(55, 207)(56, 192)(57, 193)(58, 210)(59, 211)(60, 196)(61, 213)(62, 198)(63, 215)(64, 200)(65, 201)(66, 214)(67, 216)(68, 204)(69, 212)(70, 206)(71, 209)(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, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E9.821
Graph:: simple bipartite
	v = 90 e = 144 f = 38
	degree seq :: [ 2^72, 8^18 ]

E9.823 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 20})
Quotient :: regular
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^20 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 73, 76, 71, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 75, 77, 70, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 72, 78, 80, 79, 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, 76)(71, 78)(73, 79)(77, 80)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E9.824
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 40 f = 20
	degree seq :: [ 20^4 ]

E9.824 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 20})
Quotient :: regular
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^20 ]
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, 37, 32, 42)(35, 55, 39, 53)(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, 80, 52, 78)(54, 76, 56, 74)(58, 61, 67, 65)(63, 69, 72, 71)
	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, 78)(48, 80)(49, 74)(50, 76)(51, 71)(52, 69)(54, 65)(56, 61)(58, 63)(67, 72)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E9.823
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 20 e = 40 f = 4
	degree seq :: [ 4^20 ]

E9.825 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^20 ]
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, 53, 34, 54)(35, 55, 40, 56)(36, 57, 37, 58)(38, 59, 39, 60)(41, 61, 42, 62)(43, 63, 44, 64)(45, 65, 46, 66)(47, 67, 48, 68)(49, 69, 50, 70)(51, 71, 52, 72)(73, 79, 74, 80)(75, 77, 76, 78)(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, 115)(112, 120)(116, 133)(117, 134)(118, 135)(119, 136)(121, 137)(122, 138)(123, 139)(124, 140)(125, 141)(126, 142)(127, 143)(128, 144)(129, 145)(130, 146)(131, 147)(132, 148)(149, 153)(150, 154)(151, 155)(152, 156)(157, 159)(158, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E9.829
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 80 f = 4
	degree seq :: [ 2^40, 4^20 ]

E9.826 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^20 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 74, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 78, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 79, 73, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 69, 76, 80, 77, 70, 62, 54, 46, 38, 30, 22, 14)(81, 82, 86, 84)(83, 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, 156, 152)(148, 155, 157, 151)(154, 158, 160, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E9.830
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 80 f = 40
	degree seq :: [ 4^20, 20^4 ]

E9.827 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^20 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 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, 76)(71, 78)(73, 79)(77, 80)(81, 82, 85, 91, 100, 109, 117, 125, 133, 141, 149, 148, 140, 132, 124, 116, 108, 99, 90, 84)(83, 87, 95, 105, 113, 121, 129, 137, 145, 153, 156, 151, 142, 135, 126, 119, 110, 102, 92, 88)(86, 93, 89, 98, 107, 115, 123, 131, 139, 147, 155, 157, 150, 143, 134, 127, 118, 111, 101, 94)(96, 103, 97, 104, 112, 120, 128, 136, 144, 152, 158, 160, 159, 154, 146, 138, 130, 122, 114, 106)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 8 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E9.828
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 80 f = 20
	degree seq :: [ 2^40, 20^4 ]

E9.828 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^20 ]
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, 69, 149, 34, 114, 70, 150)(35, 115, 56, 136, 42, 122, 55, 135)(36, 116, 58, 138, 45, 125, 57, 137)(37, 117, 49, 129, 38, 118, 50, 130)(39, 119, 47, 127, 40, 120, 48, 128)(41, 121, 64, 144, 43, 123, 63, 143)(44, 124, 68, 148, 46, 126, 66, 146)(51, 131, 72, 152, 52, 132, 71, 151)(53, 133, 74, 154, 54, 134, 73, 153)(59, 139, 76, 156, 60, 140, 75, 155)(61, 141, 78, 158, 62, 142, 77, 157)(65, 145, 80, 160, 67, 147, 79, 159)
	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, 145)(32, 147)(33, 109)(34, 110)(35, 143)(36, 146)(37, 138)(38, 137)(39, 136)(40, 135)(41, 151)(42, 144)(43, 152)(44, 153)(45, 148)(46, 154)(47, 129)(48, 130)(49, 127)(50, 128)(51, 155)(52, 156)(53, 157)(54, 158)(55, 120)(56, 119)(57, 118)(58, 117)(59, 159)(60, 160)(61, 150)(62, 149)(63, 115)(64, 122)(65, 111)(66, 116)(67, 112)(68, 125)(69, 142)(70, 141)(71, 121)(72, 123)(73, 124)(74, 126)(75, 131)(76, 132)(77, 133)(78, 134)(79, 139)(80, 140)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.827
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 44
	degree seq :: [ 8^20 ]

E9.829 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^20 ]
Map::
	R = (1, 81, 3, 83, 10, 90, 18, 98, 26, 106, 34, 114, 42, 122, 50, 130, 58, 138, 66, 146, 74, 154, 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, 78, 158, 72, 152, 64, 144, 56, 136, 48, 128, 40, 120, 32, 112, 24, 104, 16, 96, 8, 88)(4, 84, 11, 91, 19, 99, 27, 107, 35, 115, 43, 123, 51, 131, 59, 139, 67, 147, 75, 155, 79, 159, 73, 153, 65, 145, 57, 137, 49, 129, 41, 121, 33, 113, 25, 105, 17, 97, 9, 89)(6, 86, 13, 93, 21, 101, 29, 109, 37, 117, 45, 125, 53, 133, 61, 141, 69, 149, 76, 156, 80, 160, 77, 157, 70, 150, 62, 142, 54, 134, 46, 126, 38, 118, 30, 110, 22, 102, 14, 94)
	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, 156)(74, 158)(75, 157)(76, 152)(77, 151)(78, 160)(79, 154)(80, 159)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.825
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 80 f = 60
	degree seq :: [ 40^4 ]

E9.830 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^20 ]
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, 76, 156)(71, 151, 78, 158)(73, 153, 79, 159)(77, 157, 80, 160)
	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, 148)(70, 143)(71, 142)(72, 158)(73, 156)(74, 146)(75, 157)(76, 151)(77, 150)(78, 160)(79, 154)(80, 159)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E9.826
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 40 e = 80 f = 24
	degree seq :: [ 4^40 ]

E9.831 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|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)^20 ]
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, 38, 118)(32, 112, 37, 117)(35, 115, 53, 133)(36, 116, 60, 140)(39, 119, 57, 137)(40, 120, 55, 135)(41, 121, 59, 139)(42, 122, 61, 141)(43, 123, 64, 144)(44, 124, 63, 143)(45, 125, 67, 147)(46, 126, 69, 149)(47, 127, 72, 152)(48, 128, 74, 154)(49, 129, 77, 157)(50, 130, 79, 159)(51, 131, 78, 158)(52, 132, 80, 160)(54, 134, 76, 156)(56, 136, 73, 153)(58, 138, 62, 142)(65, 145, 68, 148)(66, 146, 71, 151)(70, 150, 75, 155)(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, 215, 295)(195, 275, 217, 297, 200, 280, 219, 299)(196, 276, 221, 301, 203, 283, 223, 303)(197, 277, 224, 304, 198, 278, 220, 300)(199, 279, 227, 307, 201, 281, 229, 309)(202, 282, 232, 312, 204, 284, 234, 314)(205, 285, 237, 317, 206, 286, 239, 319)(207, 287, 238, 318, 208, 288, 240, 320)(209, 289, 236, 316, 210, 290, 233, 313)(211, 291, 231, 311, 212, 292, 228, 308)(214, 294, 222, 302, 216, 296, 235, 315)(218, 298, 225, 305, 230, 310, 226, 306)
	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, 198)(32, 197)(33, 189)(34, 190)(35, 213)(36, 220)(37, 192)(38, 191)(39, 217)(40, 215)(41, 219)(42, 221)(43, 224)(44, 223)(45, 227)(46, 229)(47, 232)(48, 234)(49, 237)(50, 239)(51, 238)(52, 240)(53, 195)(54, 236)(55, 200)(56, 233)(57, 199)(58, 222)(59, 201)(60, 196)(61, 202)(62, 218)(63, 204)(64, 203)(65, 228)(66, 231)(67, 205)(68, 225)(69, 206)(70, 235)(71, 226)(72, 207)(73, 216)(74, 208)(75, 230)(76, 214)(77, 209)(78, 211)(79, 210)(80, 212)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E9.834
Graph:: bipartite
	v = 60 e = 160 f = 84
	degree seq :: [ 4^40, 8^20 ]

E9.832 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|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, Y2^20 ]
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, 76, 156, 72, 152)(68, 148, 75, 155, 77, 157, 71, 151)(74, 154, 78, 158, 80, 160, 79, 159)(161, 241, 163, 243, 170, 250, 178, 258, 186, 266, 194, 274, 202, 282, 210, 290, 218, 298, 226, 306, 234, 314, 228, 308, 220, 300, 212, 292, 204, 284, 196, 276, 188, 268, 180, 260, 172, 252, 165, 245)(162, 242, 167, 247, 175, 255, 183, 263, 191, 271, 199, 279, 207, 287, 215, 295, 223, 303, 231, 311, 238, 318, 232, 312, 224, 304, 216, 296, 208, 288, 200, 280, 192, 272, 184, 264, 176, 256, 168, 248)(164, 244, 171, 251, 179, 259, 187, 267, 195, 275, 203, 283, 211, 291, 219, 299, 227, 307, 235, 315, 239, 319, 233, 313, 225, 305, 217, 297, 209, 289, 201, 281, 193, 273, 185, 265, 177, 257, 169, 249)(166, 246, 173, 253, 181, 261, 189, 269, 197, 277, 205, 285, 213, 293, 221, 301, 229, 309, 236, 316, 240, 320, 237, 317, 230, 310, 222, 302, 214, 294, 206, 286, 198, 278, 190, 270, 182, 262, 174, 254)
	L = (1, 163)(2, 167)(3, 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, 236)(70, 222)(71, 238)(72, 224)(73, 225)(74, 228)(75, 239)(76, 240)(77, 230)(78, 232)(79, 233)(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, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E9.833
Graph:: bipartite
	v = 24 e = 160 f = 120
	degree seq :: [ 8^20, 40^4 ]

E9.833 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|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, Y3^8 * Y2 * Y3^-12 * Y2, (Y3^-1 * Y1^-1)^20 ]
Map:: polytopal
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 241, 162, 242)(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, 236, 316)(232, 312, 238, 318)(234, 314, 237, 317)(239, 319, 240, 320)
	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, 237)(71, 238)(72, 224)(73, 225)(74, 228)(75, 239)(76, 229)(77, 232)(78, 240)(79, 233)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 40 ), ( 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E9.832
Graph:: simple bipartite
	v = 120 e = 160 f = 24
	degree seq :: [ 2^80, 4^40 ]

E9.834 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|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, Y1^20 ]
Map:: polytopal
	R = (1, 81, 2, 82, 5, 85, 11, 91, 20, 100, 29, 109, 37, 117, 45, 125, 53, 133, 61, 141, 69, 149, 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, 76, 156, 71, 151, 62, 142, 55, 135, 46, 126, 39, 119, 30, 110, 22, 102, 12, 92, 8, 88)(6, 86, 13, 93, 9, 89, 18, 98, 27, 107, 35, 115, 43, 123, 51, 131, 59, 139, 67, 147, 75, 155, 77, 157, 70, 150, 63, 143, 54, 134, 47, 127, 38, 118, 31, 111, 21, 101, 14, 94)(16, 96, 23, 103, 17, 97, 24, 104, 32, 112, 40, 120, 48, 128, 56, 136, 64, 144, 72, 152, 78, 158, 80, 160, 79, 159, 74, 154, 66, 146, 58, 138, 50, 130, 42, 122, 34, 114, 26, 106)(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, 236)(70, 221)(71, 238)(72, 223)(73, 239)(74, 227)(75, 228)(76, 229)(77, 240)(78, 231)(79, 233)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E9.831
Graph:: simple bipartite
	v = 84 e = 160 f = 60
	degree seq :: [ 2^80, 40^4 ]

E9.835 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|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, Y2^20 ]
Map::
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 11, 91)(6, 86, 13, 93)(8, 88, 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, 76, 156)(72, 152, 78, 158)(74, 154, 77, 157)(79, 159, 80, 160)(161, 241, 163, 243, 168, 248, 177, 257, 186, 266, 194, 274, 202, 282, 210, 290, 218, 298, 226, 306, 234, 314, 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, 237, 317, 232, 312, 224, 304, 216, 296, 208, 288, 200, 280, 192, 272, 184, 264, 174, 254, 166, 246)(167, 247, 175, 255, 169, 249, 178, 258, 187, 267, 195, 275, 203, 283, 211, 291, 219, 299, 227, 307, 235, 315, 239, 319, 233, 313, 225, 305, 217, 297, 209, 289, 201, 281, 193, 273, 185, 265, 176, 256)(171, 251, 180, 260, 173, 253, 183, 263, 191, 271, 199, 279, 207, 287, 215, 295, 223, 303, 231, 311, 238, 318, 240, 320, 236, 316, 229, 309, 221, 301, 213, 293, 205, 285, 197, 277, 189, 269, 181, 261)
	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, 236)(71, 225)(72, 238)(73, 226)(74, 237)(75, 228)(76, 230)(77, 234)(78, 232)(79, 240)(80, 239)(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 ) }
Outer automorphisms :: reflexible
Dual of E9.836
Graph:: bipartite
	v = 44 e = 160 f = 100
	degree seq :: [ 4^40, 40^4 ]

E9.836 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|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)^20 ]
Map:: polytopal
	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, 76, 156, 72, 152)(68, 148, 75, 155, 77, 157, 71, 151)(74, 154, 78, 158, 80, 160, 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, 236)(70, 222)(71, 238)(72, 224)(73, 225)(74, 228)(75, 239)(76, 240)(77, 230)(78, 232)(79, 233)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E9.835
Graph:: simple bipartite
	v = 100 e = 160 f = 44
	degree seq :: [ 2^80, 8^20 ]

E9.837 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3)^3, (Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3)^2, (Y2 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 19, 115)(13, 109, 21, 117)(14, 110, 23, 119)(16, 112, 25, 121)(17, 113, 26, 122)(18, 114, 28, 124)(20, 116, 30, 126)(22, 118, 33, 129)(24, 120, 35, 131)(27, 123, 40, 136)(29, 125, 42, 138)(31, 127, 45, 141)(32, 128, 47, 143)(34, 130, 49, 145)(36, 132, 52, 148)(37, 133, 44, 140)(38, 134, 54, 150)(39, 135, 56, 152)(41, 137, 58, 154)(43, 139, 61, 157)(46, 142, 65, 161)(48, 144, 67, 163)(50, 146, 70, 166)(51, 147, 69, 165)(53, 149, 74, 170)(55, 151, 77, 173)(57, 153, 79, 175)(59, 155, 82, 178)(60, 156, 81, 177)(62, 158, 86, 182)(63, 159, 75, 171)(64, 160, 84, 180)(66, 162, 80, 176)(68, 164, 78, 174)(71, 167, 83, 179)(72, 168, 76, 172)(73, 169, 88, 184)(85, 181, 93, 189)(87, 183, 96, 192)(89, 185, 95, 191)(90, 186, 94, 190)(91, 187, 92, 188)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 209, 305)(204, 300, 212, 308)(206, 302, 214, 310)(207, 303, 216, 312)(210, 306, 219, 315)(211, 307, 221, 317)(213, 309, 223, 319)(215, 311, 226, 322)(217, 313, 228, 324)(218, 314, 230, 326)(220, 316, 233, 329)(222, 318, 235, 331)(224, 320, 238, 334)(225, 321, 240, 336)(227, 323, 242, 338)(229, 325, 245, 341)(231, 327, 247, 343)(232, 328, 249, 345)(234, 330, 251, 347)(236, 332, 254, 350)(237, 333, 255, 351)(239, 335, 258, 354)(241, 337, 260, 356)(243, 339, 263, 359)(244, 340, 264, 360)(246, 342, 267, 363)(248, 344, 270, 366)(250, 346, 272, 368)(252, 348, 275, 371)(253, 349, 276, 372)(256, 352, 279, 375)(257, 353, 277, 373)(259, 355, 280, 376)(261, 357, 282, 378)(262, 358, 283, 379)(265, 361, 269, 365)(266, 362, 281, 377)(268, 364, 284, 380)(271, 367, 285, 381)(273, 369, 287, 383)(274, 370, 288, 384)(278, 374, 286, 382)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 204)(10, 210)(11, 197)(12, 201)(13, 214)(14, 199)(15, 215)(16, 212)(17, 219)(18, 202)(19, 220)(20, 208)(21, 224)(22, 205)(23, 207)(24, 226)(25, 229)(26, 231)(27, 209)(28, 211)(29, 233)(30, 236)(31, 238)(32, 213)(33, 239)(34, 216)(35, 243)(36, 245)(37, 217)(38, 247)(39, 218)(40, 248)(41, 221)(42, 252)(43, 254)(44, 222)(45, 256)(46, 223)(47, 225)(48, 258)(49, 261)(50, 263)(51, 227)(52, 265)(53, 228)(54, 268)(55, 230)(56, 232)(57, 270)(58, 273)(59, 275)(60, 234)(61, 277)(62, 235)(63, 279)(64, 237)(65, 276)(66, 240)(67, 281)(68, 282)(69, 241)(70, 274)(71, 242)(72, 269)(73, 244)(74, 280)(75, 284)(76, 246)(77, 264)(78, 249)(79, 286)(80, 287)(81, 250)(82, 262)(83, 251)(84, 257)(85, 253)(86, 285)(87, 255)(88, 266)(89, 259)(90, 260)(91, 288)(92, 267)(93, 278)(94, 271)(95, 272)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.840
Graph:: simple bipartite
	v = 96 e = 192 f = 80
	degree seq :: [ 4^96 ]

E9.838 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3)^3, (Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 19, 115)(13, 109, 21, 117)(14, 110, 23, 119)(16, 112, 25, 121)(17, 113, 26, 122)(18, 114, 28, 124)(20, 116, 30, 126)(22, 118, 33, 129)(24, 120, 35, 131)(27, 123, 40, 136)(29, 125, 42, 138)(31, 127, 45, 141)(32, 128, 47, 143)(34, 130, 49, 145)(36, 132, 52, 148)(37, 133, 44, 140)(38, 134, 54, 150)(39, 135, 56, 152)(41, 137, 58, 154)(43, 139, 61, 157)(46, 142, 59, 155)(48, 144, 57, 153)(50, 146, 55, 151)(51, 147, 67, 163)(53, 149, 69, 165)(60, 156, 74, 170)(62, 158, 76, 172)(63, 159, 77, 173)(64, 160, 75, 171)(65, 161, 78, 174)(66, 162, 79, 175)(68, 164, 71, 167)(70, 166, 81, 177)(72, 168, 82, 178)(73, 169, 83, 179)(80, 176, 87, 183)(84, 180, 90, 186)(85, 181, 91, 187)(86, 182, 92, 188)(88, 184, 93, 189)(89, 185, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 209, 305)(204, 300, 212, 308)(206, 302, 214, 310)(207, 303, 216, 312)(210, 306, 219, 315)(211, 307, 221, 317)(213, 309, 223, 319)(215, 311, 226, 322)(217, 313, 228, 324)(218, 314, 230, 326)(220, 316, 233, 329)(222, 318, 235, 331)(224, 320, 238, 334)(225, 321, 240, 336)(227, 323, 242, 338)(229, 325, 245, 341)(231, 327, 247, 343)(232, 328, 249, 345)(234, 330, 251, 347)(236, 332, 254, 350)(237, 333, 255, 351)(239, 335, 257, 353)(241, 337, 258, 354)(243, 339, 260, 356)(244, 340, 256, 352)(246, 342, 262, 358)(248, 344, 264, 360)(250, 346, 265, 361)(252, 348, 267, 363)(253, 349, 263, 359)(259, 355, 272, 368)(261, 357, 271, 367)(266, 362, 276, 372)(268, 364, 275, 371)(269, 365, 277, 373)(270, 366, 278, 374)(273, 369, 280, 376)(274, 370, 281, 377)(279, 375, 284, 380)(282, 378, 286, 382)(283, 379, 287, 383)(285, 381, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 204)(10, 210)(11, 197)(12, 201)(13, 214)(14, 199)(15, 215)(16, 212)(17, 219)(18, 202)(19, 220)(20, 208)(21, 224)(22, 205)(23, 207)(24, 226)(25, 229)(26, 231)(27, 209)(28, 211)(29, 233)(30, 236)(31, 238)(32, 213)(33, 239)(34, 216)(35, 243)(36, 245)(37, 217)(38, 247)(39, 218)(40, 248)(41, 221)(42, 252)(43, 254)(44, 222)(45, 256)(46, 223)(47, 225)(48, 257)(49, 259)(50, 260)(51, 227)(52, 255)(53, 228)(54, 263)(55, 230)(56, 232)(57, 264)(58, 266)(59, 267)(60, 234)(61, 262)(62, 235)(63, 244)(64, 237)(65, 240)(66, 272)(67, 241)(68, 242)(69, 269)(70, 253)(71, 246)(72, 249)(73, 276)(74, 250)(75, 251)(76, 273)(77, 261)(78, 274)(79, 277)(80, 258)(81, 268)(82, 270)(83, 280)(84, 265)(85, 271)(86, 281)(87, 283)(88, 275)(89, 278)(90, 285)(91, 279)(92, 287)(93, 282)(94, 288)(95, 284)(96, 286)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.839
Graph:: simple bipartite
	v = 96 e = 192 f = 80
	degree seq :: [ 4^96 ]

E9.839 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 8, 104, 10, 106)(4, 100, 11, 107, 7, 103)(6, 102, 13, 109, 15, 111)(9, 105, 18, 114, 17, 113)(12, 108, 21, 117, 22, 118)(14, 110, 25, 121, 24, 120)(16, 112, 27, 123, 29, 125)(19, 115, 31, 127, 32, 128)(20, 116, 33, 129, 34, 130)(23, 119, 37, 133, 39, 135)(26, 122, 41, 137, 42, 138)(28, 124, 45, 141, 44, 140)(30, 126, 47, 143, 48, 144)(35, 131, 53, 149, 54, 150)(36, 132, 55, 151, 56, 152)(38, 134, 59, 155, 58, 154)(40, 136, 61, 157, 62, 158)(43, 139, 57, 153, 66, 162)(46, 142, 68, 164, 69, 165)(49, 145, 60, 156, 72, 168)(50, 146, 64, 160, 73, 169)(51, 147, 74, 170, 75, 171)(52, 148, 76, 172, 77, 173)(63, 159, 78, 174, 83, 179)(65, 161, 84, 180, 79, 175)(67, 163, 85, 181, 86, 182)(70, 166, 88, 184, 81, 177)(71, 167, 89, 185, 80, 176)(82, 178, 92, 188, 91, 187)(87, 183, 90, 186, 93, 189)(94, 190, 96, 192, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 201, 297)(197, 293, 204, 300)(199, 295, 206, 302)(200, 296, 208, 304)(202, 298, 211, 307)(203, 299, 212, 308)(205, 301, 215, 311)(207, 303, 218, 314)(209, 305, 220, 316)(210, 306, 222, 318)(213, 309, 227, 323)(214, 310, 228, 324)(216, 312, 230, 326)(217, 313, 232, 328)(219, 315, 235, 331)(221, 317, 238, 334)(223, 319, 241, 337)(224, 320, 242, 338)(225, 321, 243, 339)(226, 322, 244, 340)(229, 325, 249, 345)(231, 327, 252, 348)(233, 329, 255, 351)(234, 330, 256, 352)(236, 332, 257, 353)(237, 333, 259, 355)(239, 335, 262, 358)(240, 336, 263, 359)(245, 341, 258, 354)(246, 342, 270, 366)(247, 343, 261, 357)(248, 344, 265, 361)(250, 346, 271, 367)(251, 347, 272, 368)(253, 349, 273, 369)(254, 350, 274, 370)(260, 356, 279, 375)(264, 360, 282, 378)(266, 362, 280, 376)(267, 363, 277, 373)(268, 364, 283, 379)(269, 365, 276, 372)(275, 371, 285, 381)(278, 374, 286, 382)(281, 377, 287, 383)(284, 380, 288, 384)
	L = (1, 196)(2, 199)(3, 201)(4, 193)(5, 203)(6, 206)(7, 194)(8, 209)(9, 195)(10, 210)(11, 197)(12, 212)(13, 216)(14, 198)(15, 217)(16, 220)(17, 200)(18, 202)(19, 222)(20, 204)(21, 226)(22, 225)(23, 230)(24, 205)(25, 207)(26, 232)(27, 236)(28, 208)(29, 237)(30, 211)(31, 240)(32, 239)(33, 214)(34, 213)(35, 244)(36, 243)(37, 250)(38, 215)(39, 251)(40, 218)(41, 254)(42, 253)(43, 257)(44, 219)(45, 221)(46, 259)(47, 224)(48, 223)(49, 263)(50, 262)(51, 228)(52, 227)(53, 269)(54, 268)(55, 267)(56, 266)(57, 271)(58, 229)(59, 231)(60, 272)(61, 234)(62, 233)(63, 274)(64, 273)(65, 235)(66, 276)(67, 238)(68, 278)(69, 277)(70, 242)(71, 241)(72, 281)(73, 280)(74, 248)(75, 247)(76, 246)(77, 245)(78, 283)(79, 249)(80, 252)(81, 256)(82, 255)(83, 284)(84, 258)(85, 261)(86, 260)(87, 286)(88, 265)(89, 264)(90, 287)(91, 270)(92, 275)(93, 288)(94, 279)(95, 282)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E9.838
Graph:: simple bipartite
	v = 80 e = 192 f = 96
	degree seq :: [ 4^48, 6^32 ]

E9.840 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 8, 104, 10, 106)(4, 100, 11, 107, 7, 103)(6, 102, 13, 109, 15, 111)(9, 105, 18, 114, 17, 113)(12, 108, 21, 117, 22, 118)(14, 110, 25, 121, 24, 120)(16, 112, 27, 123, 29, 125)(19, 115, 31, 127, 32, 128)(20, 116, 33, 129, 34, 130)(23, 119, 37, 133, 39, 135)(26, 122, 41, 137, 42, 138)(28, 124, 45, 141, 44, 140)(30, 126, 47, 143, 48, 144)(35, 131, 53, 149, 54, 150)(36, 132, 55, 151, 56, 152)(38, 134, 59, 155, 58, 154)(40, 136, 61, 157, 62, 158)(43, 139, 65, 161, 64, 160)(46, 142, 68, 164, 60, 156)(49, 145, 71, 167, 63, 159)(50, 146, 72, 168, 73, 169)(51, 147, 74, 170, 75, 171)(52, 148, 76, 172, 77, 173)(57, 153, 79, 175, 78, 174)(66, 162, 82, 178, 85, 181)(67, 163, 81, 177, 86, 182)(69, 165, 87, 183, 88, 184)(70, 166, 83, 179, 89, 185)(80, 176, 91, 187, 93, 189)(84, 180, 92, 188, 90, 186)(94, 190, 95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 201, 297)(197, 293, 204, 300)(199, 295, 206, 302)(200, 296, 208, 304)(202, 298, 211, 307)(203, 299, 212, 308)(205, 301, 215, 311)(207, 303, 218, 314)(209, 305, 220, 316)(210, 306, 222, 318)(213, 309, 227, 323)(214, 310, 228, 324)(216, 312, 230, 326)(217, 313, 232, 328)(219, 315, 235, 331)(221, 317, 238, 334)(223, 319, 241, 337)(224, 320, 242, 338)(225, 321, 243, 339)(226, 322, 244, 340)(229, 325, 249, 345)(231, 327, 252, 348)(233, 329, 255, 351)(234, 330, 256, 352)(236, 332, 258, 354)(237, 333, 259, 355)(239, 335, 261, 357)(240, 336, 262, 358)(245, 341, 264, 360)(246, 342, 260, 356)(247, 343, 263, 359)(248, 344, 270, 366)(250, 346, 272, 368)(251, 347, 273, 369)(253, 349, 274, 370)(254, 350, 275, 371)(257, 353, 276, 372)(265, 361, 282, 378)(266, 362, 283, 379)(267, 363, 281, 377)(268, 364, 278, 374)(269, 365, 280, 376)(271, 367, 284, 380)(277, 373, 286, 382)(279, 375, 287, 383)(285, 381, 288, 384)
	L = (1, 196)(2, 199)(3, 201)(4, 193)(5, 203)(6, 206)(7, 194)(8, 209)(9, 195)(10, 210)(11, 197)(12, 212)(13, 216)(14, 198)(15, 217)(16, 220)(17, 200)(18, 202)(19, 222)(20, 204)(21, 226)(22, 225)(23, 230)(24, 205)(25, 207)(26, 232)(27, 236)(28, 208)(29, 237)(30, 211)(31, 240)(32, 239)(33, 214)(34, 213)(35, 244)(36, 243)(37, 250)(38, 215)(39, 251)(40, 218)(41, 254)(42, 253)(43, 258)(44, 219)(45, 221)(46, 259)(47, 224)(48, 223)(49, 262)(50, 261)(51, 228)(52, 227)(53, 269)(54, 268)(55, 267)(56, 266)(57, 272)(58, 229)(59, 231)(60, 273)(61, 234)(62, 233)(63, 275)(64, 274)(65, 277)(66, 235)(67, 238)(68, 278)(69, 242)(70, 241)(71, 281)(72, 280)(73, 279)(74, 248)(75, 247)(76, 246)(77, 245)(78, 283)(79, 285)(80, 249)(81, 252)(82, 256)(83, 255)(84, 286)(85, 257)(86, 260)(87, 265)(88, 264)(89, 263)(90, 287)(91, 270)(92, 288)(93, 271)(94, 276)(95, 282)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E9.837
Graph:: simple bipartite
	v = 80 e = 192 f = 96
	degree seq :: [ 4^48, 6^32 ]

E9.841 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, (Y2 * Y1)^4, (Y2 * Y1 * Y3)^3, (Y1 * Y3^-1 * Y2)^3, (Y2 * Y1 * Y3^-2 * Y1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 29, 125)(16, 112, 35, 131)(17, 113, 37, 133)(19, 115, 40, 136)(21, 117, 32, 128)(22, 118, 45, 141)(23, 119, 47, 143)(25, 121, 50, 146)(27, 123, 53, 149)(28, 124, 55, 151)(30, 126, 58, 154)(31, 127, 57, 153)(33, 129, 62, 158)(34, 130, 64, 160)(36, 132, 65, 161)(38, 134, 66, 162)(39, 135, 68, 164)(41, 137, 71, 167)(42, 138, 70, 166)(43, 139, 54, 150)(44, 140, 59, 155)(46, 142, 69, 165)(48, 144, 78, 174)(49, 145, 79, 175)(51, 147, 82, 178)(52, 148, 81, 177)(56, 152, 63, 159)(60, 156, 67, 163)(61, 157, 72, 168)(73, 169, 84, 180)(74, 170, 87, 183)(75, 171, 92, 188)(76, 172, 85, 181)(77, 173, 90, 186)(80, 176, 88, 184)(83, 179, 89, 185)(86, 182, 91, 187)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 224, 320)(210, 306, 230, 326)(211, 307, 228, 324)(212, 308, 233, 329)(214, 310, 236, 332)(215, 311, 235, 331)(216, 312, 240, 336)(218, 314, 243, 339)(220, 316, 246, 342)(221, 317, 248, 344)(223, 319, 251, 347)(225, 321, 253, 349)(226, 322, 252, 348)(227, 323, 241, 337)(229, 325, 244, 340)(231, 327, 259, 355)(232, 328, 261, 357)(234, 330, 264, 360)(237, 333, 266, 362)(238, 334, 265, 361)(239, 335, 268, 364)(242, 338, 272, 368)(245, 341, 274, 370)(247, 343, 277, 373)(249, 345, 279, 375)(250, 346, 270, 366)(254, 350, 267, 363)(255, 351, 280, 376)(256, 352, 269, 365)(257, 353, 276, 372)(258, 354, 273, 369)(260, 356, 282, 378)(262, 358, 284, 380)(263, 359, 271, 367)(275, 371, 285, 381)(278, 374, 287, 383)(281, 377, 286, 382)(283, 379, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 212)(13, 197)(14, 223)(15, 225)(16, 228)(17, 198)(18, 206)(19, 200)(20, 234)(21, 235)(22, 238)(23, 201)(24, 239)(25, 203)(26, 244)(27, 246)(28, 204)(29, 247)(30, 230)(31, 231)(32, 252)(33, 255)(34, 207)(35, 256)(36, 209)(37, 243)(38, 259)(39, 210)(40, 260)(41, 219)(42, 220)(43, 265)(44, 213)(45, 218)(46, 215)(47, 269)(48, 227)(49, 216)(50, 271)(51, 266)(52, 267)(53, 275)(54, 264)(55, 278)(56, 279)(57, 221)(58, 276)(59, 222)(60, 280)(61, 224)(62, 229)(63, 226)(64, 268)(65, 270)(66, 281)(67, 251)(68, 283)(69, 284)(70, 232)(71, 272)(72, 233)(73, 236)(74, 254)(75, 237)(76, 240)(77, 241)(78, 285)(79, 286)(80, 258)(81, 242)(82, 257)(83, 250)(84, 245)(85, 248)(86, 249)(87, 287)(88, 253)(89, 263)(90, 261)(91, 262)(92, 288)(93, 274)(94, 273)(95, 277)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.842
Graph:: simple bipartite
	v = 96 e = 192 f = 80
	degree seq :: [ 4^96 ]

E9.842 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^3, Y3^3, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-1)^4, (Y3 * Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1 * Y3^-1 * Y2 * Y1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 10, 106, 12, 108)(4, 100, 14, 110, 15, 111)(6, 102, 18, 114, 8, 104)(7, 103, 19, 115, 21, 117)(9, 105, 23, 119, 17, 113)(11, 107, 27, 123, 28, 124)(13, 109, 31, 127, 25, 121)(16, 112, 34, 130, 35, 131)(20, 116, 41, 137, 42, 138)(22, 118, 45, 141, 39, 135)(24, 120, 47, 143, 49, 145)(26, 122, 51, 147, 30, 126)(29, 125, 54, 150, 38, 134)(32, 128, 57, 153, 58, 154)(33, 129, 59, 155, 60, 156)(36, 132, 65, 161, 62, 158)(37, 133, 66, 162, 67, 163)(40, 136, 70, 166, 44, 140)(43, 139, 73, 169, 61, 157)(46, 142, 76, 172, 77, 173)(48, 144, 80, 176, 72, 168)(50, 146, 83, 179, 78, 174)(52, 148, 69, 165, 85, 181)(53, 149, 86, 182, 87, 183)(55, 151, 91, 187, 89, 185)(56, 152, 92, 188, 74, 170)(63, 159, 94, 190, 64, 160)(68, 164, 90, 186, 93, 189)(71, 167, 96, 192, 84, 180)(75, 171, 82, 178, 79, 175)(81, 177, 95, 191, 88, 184)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 205, 301)(197, 293, 208, 304)(198, 294, 203, 299)(200, 296, 214, 310)(201, 297, 212, 308)(202, 298, 216, 312)(204, 300, 221, 317)(206, 302, 224, 320)(207, 303, 225, 321)(209, 305, 228, 324)(210, 306, 229, 325)(211, 307, 230, 326)(213, 309, 235, 331)(215, 311, 238, 334)(217, 313, 242, 338)(218, 314, 240, 336)(219, 315, 244, 340)(220, 316, 245, 341)(222, 318, 247, 343)(223, 319, 248, 344)(226, 322, 253, 349)(227, 323, 239, 335)(231, 327, 261, 357)(232, 328, 260, 356)(233, 329, 263, 359)(234, 330, 264, 360)(236, 332, 266, 362)(237, 333, 267, 363)(241, 337, 273, 369)(243, 339, 276, 372)(246, 342, 280, 376)(249, 345, 270, 366)(250, 346, 285, 381)(251, 347, 282, 378)(252, 348, 284, 380)(254, 350, 288, 384)(255, 351, 278, 374)(256, 352, 271, 367)(257, 353, 283, 379)(258, 354, 279, 375)(259, 355, 274, 370)(262, 358, 275, 371)(265, 361, 287, 383)(268, 364, 272, 368)(269, 365, 281, 377)(277, 373, 286, 382)
	L = (1, 196)(2, 200)(3, 203)(4, 198)(5, 209)(6, 193)(7, 212)(8, 201)(9, 194)(10, 217)(11, 205)(12, 222)(13, 195)(14, 197)(15, 215)(16, 224)(17, 206)(18, 207)(19, 231)(20, 214)(21, 236)(22, 199)(23, 210)(24, 240)(25, 218)(26, 202)(27, 204)(28, 243)(29, 244)(30, 219)(31, 220)(32, 228)(33, 229)(34, 254)(35, 256)(36, 208)(37, 238)(38, 260)(39, 232)(40, 211)(41, 213)(42, 262)(43, 263)(44, 233)(45, 234)(46, 225)(47, 270)(48, 242)(49, 274)(50, 216)(51, 223)(52, 247)(53, 248)(54, 281)(55, 221)(56, 276)(57, 227)(58, 286)(59, 269)(60, 287)(61, 278)(62, 255)(63, 226)(64, 249)(65, 250)(66, 252)(67, 273)(68, 261)(69, 230)(70, 237)(71, 266)(72, 267)(73, 284)(74, 235)(75, 275)(76, 259)(77, 280)(78, 271)(79, 239)(80, 241)(81, 268)(82, 272)(83, 264)(84, 245)(85, 285)(86, 288)(87, 265)(88, 251)(89, 282)(90, 246)(91, 277)(92, 279)(93, 283)(94, 257)(95, 258)(96, 253)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E9.841
Graph:: simple bipartite
	v = 80 e = 192 f = 96
	degree seq :: [ 4^48, 6^32 ]

E9.843 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1, T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1, (T2^-1 * T1^-1)^4, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 53, 25)(13, 31, 65, 32)(14, 33, 67, 34)(15, 35, 69, 36)(17, 39, 75, 40)(18, 41, 77, 42)(19, 43, 78, 44)(22, 49, 76, 50)(23, 51, 70, 52)(26, 56, 81, 57)(28, 54, 88, 60)(29, 61, 91, 62)(30, 63, 80, 45)(37, 71, 66, 72)(38, 73, 64, 74)(47, 82, 94, 83)(48, 84, 59, 85)(55, 90, 58, 86)(68, 89, 95, 87)(79, 93, 96, 92)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 111, 113)(103, 114, 115)(105, 118, 119)(107, 122, 124)(108, 125, 126)(112, 133, 134)(116, 141, 143)(117, 137, 144)(120, 135, 150)(121, 139, 151)(123, 154, 155)(127, 160, 153)(128, 138, 158)(129, 162, 156)(130, 164, 131)(132, 157, 166)(136, 159, 172)(140, 175, 152)(142, 177, 165)(145, 182, 167)(146, 173, 183)(147, 178, 184)(148, 180, 170)(149, 169, 185)(161, 179, 186)(163, 176, 174)(168, 187, 188)(171, 181, 189)(190, 191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.844
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 3^32, 4^24 ]

E9.844 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1, T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1, (T2^-1 * T1^-1)^4, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 3, 99, 9, 105, 5, 101)(2, 98, 6, 102, 16, 112, 7, 103)(4, 100, 11, 107, 27, 123, 12, 108)(8, 104, 20, 116, 46, 142, 21, 117)(10, 106, 24, 120, 53, 149, 25, 121)(13, 109, 31, 127, 65, 161, 32, 128)(14, 110, 33, 129, 67, 163, 34, 130)(15, 111, 35, 131, 69, 165, 36, 132)(17, 113, 39, 135, 75, 171, 40, 136)(18, 114, 41, 137, 77, 173, 42, 138)(19, 115, 43, 139, 78, 174, 44, 140)(22, 118, 49, 145, 76, 172, 50, 146)(23, 119, 51, 147, 70, 166, 52, 148)(26, 122, 56, 152, 81, 177, 57, 153)(28, 124, 54, 150, 88, 184, 60, 156)(29, 125, 61, 157, 91, 187, 62, 158)(30, 126, 63, 159, 80, 176, 45, 141)(37, 133, 71, 167, 66, 162, 72, 168)(38, 134, 73, 169, 64, 160, 74, 170)(47, 143, 82, 178, 94, 190, 83, 179)(48, 144, 84, 180, 59, 155, 85, 181)(55, 151, 90, 186, 58, 154, 86, 182)(68, 164, 89, 185, 95, 191, 87, 183)(79, 175, 93, 189, 96, 192, 92, 188)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 111)(7, 114)(8, 106)(9, 118)(10, 99)(11, 122)(12, 125)(13, 110)(14, 101)(15, 113)(16, 133)(17, 102)(18, 115)(19, 103)(20, 141)(21, 137)(22, 119)(23, 105)(24, 135)(25, 139)(26, 124)(27, 154)(28, 107)(29, 126)(30, 108)(31, 160)(32, 138)(33, 162)(34, 164)(35, 130)(36, 157)(37, 134)(38, 112)(39, 150)(40, 159)(41, 144)(42, 158)(43, 151)(44, 175)(45, 143)(46, 177)(47, 116)(48, 117)(49, 182)(50, 173)(51, 178)(52, 180)(53, 169)(54, 120)(55, 121)(56, 140)(57, 127)(58, 155)(59, 123)(60, 129)(61, 166)(62, 128)(63, 172)(64, 153)(65, 179)(66, 156)(67, 176)(68, 131)(69, 142)(70, 132)(71, 145)(72, 187)(73, 185)(74, 148)(75, 181)(76, 136)(77, 183)(78, 163)(79, 152)(80, 174)(81, 165)(82, 184)(83, 186)(84, 170)(85, 189)(86, 167)(87, 146)(88, 147)(89, 149)(90, 161)(91, 188)(92, 168)(93, 171)(94, 191)(95, 192)(96, 190)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.843
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 96 f = 56
	degree seq :: [ 8^24 ]

E9.845 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 15, 111, 17, 113)(7, 103, 18, 114, 19, 115)(9, 105, 22, 118, 23, 119)(11, 107, 26, 122, 28, 124)(12, 108, 29, 125, 30, 126)(16, 112, 37, 133, 38, 134)(20, 116, 45, 141, 47, 143)(21, 117, 41, 137, 48, 144)(24, 120, 39, 135, 54, 150)(25, 121, 43, 139, 55, 151)(27, 123, 58, 154, 59, 155)(31, 127, 64, 160, 57, 153)(32, 128, 42, 138, 62, 158)(33, 129, 66, 162, 60, 156)(34, 130, 68, 164, 35, 131)(36, 132, 61, 157, 70, 166)(40, 136, 63, 159, 76, 172)(44, 140, 79, 175, 56, 152)(46, 142, 81, 177, 69, 165)(49, 145, 86, 182, 71, 167)(50, 146, 77, 173, 87, 183)(51, 147, 82, 178, 88, 184)(52, 148, 84, 180, 74, 170)(53, 149, 73, 169, 89, 185)(65, 161, 83, 179, 90, 186)(67, 163, 80, 176, 78, 174)(72, 168, 91, 187, 92, 188)(75, 171, 85, 181, 93, 189)(94, 190, 95, 191, 96, 192)(193, 289, 195, 291, 201, 297, 197, 293)(194, 290, 198, 294, 208, 304, 199, 295)(196, 292, 203, 299, 219, 315, 204, 300)(200, 296, 212, 308, 238, 334, 213, 309)(202, 298, 216, 312, 245, 341, 217, 313)(205, 301, 223, 319, 257, 353, 224, 320)(206, 302, 225, 321, 259, 355, 226, 322)(207, 303, 227, 323, 261, 357, 228, 324)(209, 305, 231, 327, 267, 363, 232, 328)(210, 306, 233, 329, 269, 365, 234, 330)(211, 307, 235, 331, 270, 366, 236, 332)(214, 310, 241, 337, 268, 364, 242, 338)(215, 311, 243, 339, 262, 358, 244, 340)(218, 314, 248, 344, 273, 369, 249, 345)(220, 316, 246, 342, 280, 376, 252, 348)(221, 317, 253, 349, 283, 379, 254, 350)(222, 318, 255, 351, 272, 368, 237, 333)(229, 325, 263, 359, 258, 354, 264, 360)(230, 326, 265, 361, 256, 352, 266, 362)(239, 335, 274, 370, 286, 382, 275, 371)(240, 336, 276, 372, 251, 347, 277, 373)(247, 343, 282, 378, 250, 346, 278, 374)(260, 356, 281, 377, 287, 383, 279, 375)(271, 367, 285, 381, 288, 384, 284, 380)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 209)(7, 211)(8, 195)(9, 215)(10, 200)(11, 220)(12, 222)(13, 197)(14, 205)(15, 198)(16, 230)(17, 207)(18, 199)(19, 210)(20, 239)(21, 240)(22, 201)(23, 214)(24, 246)(25, 247)(26, 203)(27, 251)(28, 218)(29, 204)(30, 221)(31, 249)(32, 254)(33, 252)(34, 227)(35, 260)(36, 262)(37, 208)(38, 229)(39, 216)(40, 268)(41, 213)(42, 224)(43, 217)(44, 248)(45, 212)(46, 261)(47, 237)(48, 233)(49, 263)(50, 279)(51, 280)(52, 266)(53, 281)(54, 231)(55, 235)(56, 271)(57, 256)(58, 219)(59, 250)(60, 258)(61, 228)(62, 234)(63, 232)(64, 223)(65, 282)(66, 225)(67, 270)(68, 226)(69, 273)(70, 253)(71, 278)(72, 284)(73, 245)(74, 276)(75, 285)(76, 255)(77, 242)(78, 272)(79, 236)(80, 259)(81, 238)(82, 243)(83, 257)(84, 244)(85, 267)(86, 241)(87, 269)(88, 274)(89, 265)(90, 275)(91, 264)(92, 283)(93, 277)(94, 288)(95, 286)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.846
Graph:: bipartite
	v = 56 e = 192 f = 120
	degree seq :: [ 6^32, 8^24 ]

E9.846 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 21, 117, 10, 106)(5, 101, 13, 109, 30, 126, 14, 110)(7, 103, 17, 113, 39, 135, 18, 114)(8, 104, 19, 115, 44, 140, 20, 116)(11, 107, 26, 122, 56, 152, 27, 123)(12, 108, 28, 124, 60, 156, 29, 125)(15, 111, 35, 131, 69, 165, 36, 132)(16, 112, 37, 133, 74, 170, 38, 134)(22, 118, 51, 147, 80, 176, 52, 148)(23, 119, 45, 141, 86, 182, 53, 149)(24, 120, 42, 138, 72, 168, 54, 150)(25, 121, 47, 143, 87, 183, 55, 151)(31, 127, 66, 162, 79, 175, 58, 154)(32, 128, 46, 142, 76, 172, 62, 158)(33, 129, 67, 163, 91, 187, 59, 155)(34, 130, 68, 164, 81, 177, 40, 136)(41, 137, 75, 171, 93, 189, 82, 178)(43, 139, 77, 173, 65, 161, 83, 179)(48, 144, 88, 184, 64, 160, 70, 166)(49, 145, 71, 167, 61, 157, 89, 185)(50, 146, 84, 180, 57, 153, 78, 174)(63, 159, 85, 181, 92, 188, 73, 169)(90, 186, 94, 190, 96, 192, 95, 191)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 197)(4, 203)(5, 193)(6, 207)(7, 200)(8, 194)(9, 214)(10, 216)(11, 204)(12, 196)(13, 223)(14, 225)(15, 208)(16, 198)(17, 232)(18, 234)(19, 237)(20, 239)(21, 241)(22, 215)(23, 201)(24, 217)(25, 202)(26, 249)(27, 246)(28, 253)(29, 255)(30, 256)(31, 224)(32, 205)(33, 226)(34, 206)(35, 262)(36, 264)(37, 267)(38, 269)(39, 271)(40, 233)(41, 209)(42, 235)(43, 210)(44, 276)(45, 238)(46, 211)(47, 240)(48, 212)(49, 242)(50, 213)(51, 221)(52, 259)(53, 260)(54, 251)(55, 282)(56, 274)(57, 250)(58, 218)(59, 219)(60, 273)(61, 254)(62, 220)(63, 243)(64, 257)(65, 222)(66, 247)(67, 266)(68, 261)(69, 245)(70, 263)(71, 227)(72, 265)(73, 228)(74, 244)(75, 268)(76, 229)(77, 270)(78, 230)(79, 272)(80, 231)(81, 279)(82, 280)(83, 286)(84, 277)(85, 236)(86, 275)(87, 252)(88, 248)(89, 283)(90, 258)(91, 287)(92, 288)(93, 284)(94, 278)(95, 281)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.845
Graph:: simple bipartite
	v = 120 e = 192 f = 56
	degree seq :: [ 2^96, 8^24 ]

E9.847 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2 * T1^-1)^4, (T2 * T1^-1 * T2^-1 * T1^-1)^2, (T2^-1 * T1^-1)^4, (T1 * T2^-2)^3, (T2^-1 * T1^-1 * T2 * T1 * T2^-1)^2, (T2^-2 * T1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 55, 25)(13, 31, 65, 32)(14, 33, 69, 34)(15, 35, 71, 36)(17, 39, 75, 40)(18, 41, 77, 42)(19, 43, 79, 44)(22, 50, 60, 51)(23, 52, 37, 53)(26, 57, 88, 58)(28, 61, 84, 48)(29, 62, 87, 63)(30, 64, 81, 45)(38, 72, 59, 73)(47, 82, 67, 83)(49, 85, 66, 86)(54, 89, 70, 90)(56, 91, 68, 92)(74, 93, 80, 94)(76, 95, 78, 96)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 111, 113)(103, 114, 115)(105, 118, 119)(107, 122, 124)(108, 125, 126)(112, 133, 134)(116, 141, 143)(117, 144, 145)(120, 150, 138)(121, 152, 132)(123, 155, 156)(127, 160, 162)(128, 157, 163)(129, 164, 137)(130, 166, 131)(135, 170, 159)(136, 172, 154)(139, 174, 158)(140, 176, 153)(142, 165, 169)(146, 167, 175)(147, 173, 171)(148, 183, 180)(149, 184, 177)(151, 168, 161)(178, 189, 188)(179, 192, 186)(181, 191, 187)(182, 190, 185)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.848
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 3^32, 4^24 ]

E9.848 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2 * T1^-1)^4, (T2 * T1^-1 * T2^-1 * T1^-1)^2, (T2^-1 * T1^-1)^4, (T1 * T2^-2)^3, (T2^-1 * T1^-1 * T2 * T1 * T2^-1)^2, (T2^-2 * T1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 9, 105, 5, 101)(2, 98, 6, 102, 16, 112, 7, 103)(4, 100, 11, 107, 27, 123, 12, 108)(8, 104, 20, 116, 46, 142, 21, 117)(10, 106, 24, 120, 55, 151, 25, 121)(13, 109, 31, 127, 65, 161, 32, 128)(14, 110, 33, 129, 69, 165, 34, 130)(15, 111, 35, 131, 71, 167, 36, 132)(17, 113, 39, 135, 75, 171, 40, 136)(18, 114, 41, 137, 77, 173, 42, 138)(19, 115, 43, 139, 79, 175, 44, 140)(22, 118, 50, 146, 60, 156, 51, 147)(23, 119, 52, 148, 37, 133, 53, 149)(26, 122, 57, 153, 88, 184, 58, 154)(28, 124, 61, 157, 84, 180, 48, 144)(29, 125, 62, 158, 87, 183, 63, 159)(30, 126, 64, 160, 81, 177, 45, 141)(38, 134, 72, 168, 59, 155, 73, 169)(47, 143, 82, 178, 67, 163, 83, 179)(49, 145, 85, 181, 66, 162, 86, 182)(54, 150, 89, 185, 70, 166, 90, 186)(56, 152, 91, 187, 68, 164, 92, 188)(74, 170, 93, 189, 80, 176, 94, 190)(76, 172, 95, 191, 78, 174, 96, 192)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 111)(7, 114)(8, 106)(9, 118)(10, 99)(11, 122)(12, 125)(13, 110)(14, 101)(15, 113)(16, 133)(17, 102)(18, 115)(19, 103)(20, 141)(21, 144)(22, 119)(23, 105)(24, 150)(25, 152)(26, 124)(27, 155)(28, 107)(29, 126)(30, 108)(31, 160)(32, 157)(33, 164)(34, 166)(35, 130)(36, 121)(37, 134)(38, 112)(39, 170)(40, 172)(41, 129)(42, 120)(43, 174)(44, 176)(45, 143)(46, 165)(47, 116)(48, 145)(49, 117)(50, 167)(51, 173)(52, 183)(53, 184)(54, 138)(55, 168)(56, 132)(57, 140)(58, 136)(59, 156)(60, 123)(61, 163)(62, 139)(63, 135)(64, 162)(65, 151)(66, 127)(67, 128)(68, 137)(69, 169)(70, 131)(71, 175)(72, 161)(73, 142)(74, 159)(75, 147)(76, 154)(77, 171)(78, 158)(79, 146)(80, 153)(81, 149)(82, 189)(83, 192)(84, 148)(85, 191)(86, 190)(87, 180)(88, 177)(89, 182)(90, 179)(91, 181)(92, 178)(93, 188)(94, 185)(95, 187)(96, 186)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.847
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 96 f = 56
	degree seq :: [ 8^24 ]

E9.849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|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, (Y3 * Y2^-1)^4, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y2^-2 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 15, 111, 17, 113)(7, 103, 18, 114, 19, 115)(9, 105, 22, 118, 23, 119)(11, 107, 26, 122, 28, 124)(12, 108, 29, 125, 30, 126)(16, 112, 37, 133, 38, 134)(20, 116, 45, 141, 47, 143)(21, 117, 48, 144, 49, 145)(24, 120, 54, 150, 42, 138)(25, 121, 56, 152, 36, 132)(27, 123, 59, 155, 60, 156)(31, 127, 64, 160, 66, 162)(32, 128, 61, 157, 67, 163)(33, 129, 68, 164, 41, 137)(34, 130, 70, 166, 35, 131)(39, 135, 74, 170, 63, 159)(40, 136, 76, 172, 58, 154)(43, 139, 78, 174, 62, 158)(44, 140, 80, 176, 57, 153)(46, 142, 69, 165, 73, 169)(50, 146, 71, 167, 79, 175)(51, 147, 77, 173, 75, 171)(52, 148, 87, 183, 84, 180)(53, 149, 88, 184, 81, 177)(55, 151, 72, 168, 65, 161)(82, 178, 93, 189, 92, 188)(83, 179, 96, 192, 90, 186)(85, 181, 95, 191, 91, 187)(86, 182, 94, 190, 89, 185)(193, 289, 195, 291, 201, 297, 197, 293)(194, 290, 198, 294, 208, 304, 199, 295)(196, 292, 203, 299, 219, 315, 204, 300)(200, 296, 212, 308, 238, 334, 213, 309)(202, 298, 216, 312, 247, 343, 217, 313)(205, 301, 223, 319, 257, 353, 224, 320)(206, 302, 225, 321, 261, 357, 226, 322)(207, 303, 227, 323, 263, 359, 228, 324)(209, 305, 231, 327, 267, 363, 232, 328)(210, 306, 233, 329, 269, 365, 234, 330)(211, 307, 235, 331, 271, 367, 236, 332)(214, 310, 242, 338, 252, 348, 243, 339)(215, 311, 244, 340, 229, 325, 245, 341)(218, 314, 249, 345, 280, 376, 250, 346)(220, 316, 253, 349, 276, 372, 240, 336)(221, 317, 254, 350, 279, 375, 255, 351)(222, 318, 256, 352, 273, 369, 237, 333)(230, 326, 264, 360, 251, 347, 265, 361)(239, 335, 274, 370, 259, 355, 275, 371)(241, 337, 277, 373, 258, 354, 278, 374)(246, 342, 281, 377, 262, 358, 282, 378)(248, 344, 283, 379, 260, 356, 284, 380)(266, 362, 285, 381, 272, 368, 286, 382)(268, 364, 287, 383, 270, 366, 288, 384)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 209)(7, 211)(8, 195)(9, 215)(10, 200)(11, 220)(12, 222)(13, 197)(14, 205)(15, 198)(16, 230)(17, 207)(18, 199)(19, 210)(20, 239)(21, 241)(22, 201)(23, 214)(24, 234)(25, 228)(26, 203)(27, 252)(28, 218)(29, 204)(30, 221)(31, 258)(32, 259)(33, 233)(34, 227)(35, 262)(36, 248)(37, 208)(38, 229)(39, 255)(40, 250)(41, 260)(42, 246)(43, 254)(44, 249)(45, 212)(46, 265)(47, 237)(48, 213)(49, 240)(50, 271)(51, 267)(52, 276)(53, 273)(54, 216)(55, 257)(56, 217)(57, 272)(58, 268)(59, 219)(60, 251)(61, 224)(62, 270)(63, 266)(64, 223)(65, 264)(66, 256)(67, 253)(68, 225)(69, 238)(70, 226)(71, 242)(72, 247)(73, 261)(74, 231)(75, 269)(76, 232)(77, 243)(78, 235)(79, 263)(80, 236)(81, 280)(82, 284)(83, 282)(84, 279)(85, 283)(86, 281)(87, 244)(88, 245)(89, 286)(90, 288)(91, 287)(92, 285)(93, 274)(94, 278)(95, 277)(96, 275)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.850
Graph:: bipartite
	v = 56 e = 192 f = 120
	degree seq :: [ 6^32, 8^24 ]

E9.850 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|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 * Y1^-1)^4, (Y3^-1 * Y1^-1)^4, (Y3 * Y1 * Y3 * Y1^-1)^2, (Y1^-2 * Y3)^3, (Y3 * Y1 * Y3^-1 * Y1^-2)^2, (Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 21, 117, 10, 106)(5, 101, 13, 109, 30, 126, 14, 110)(7, 103, 17, 113, 39, 135, 18, 114)(8, 104, 19, 115, 44, 140, 20, 116)(11, 107, 26, 122, 57, 153, 27, 123)(12, 108, 28, 124, 62, 158, 29, 125)(15, 111, 35, 131, 66, 162, 36, 132)(16, 112, 37, 133, 49, 145, 38, 134)(22, 118, 51, 147, 71, 167, 48, 144)(23, 119, 52, 148, 74, 170, 53, 149)(24, 120, 54, 150, 73, 169, 46, 142)(25, 121, 55, 151, 72, 168, 56, 152)(31, 127, 67, 163, 77, 173, 68, 164)(32, 128, 60, 156, 76, 172, 42, 138)(33, 129, 69, 165, 75, 171, 70, 166)(34, 130, 58, 154, 78, 174, 40, 136)(41, 137, 80, 176, 61, 157, 81, 177)(43, 139, 82, 178, 59, 155, 83, 179)(45, 141, 85, 181, 64, 160, 86, 182)(47, 143, 87, 183, 63, 159, 88, 184)(50, 146, 84, 180, 65, 161, 79, 175)(89, 185, 93, 189, 92, 188, 96, 192)(90, 186, 95, 191, 91, 187, 94, 190)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 197)(4, 203)(5, 193)(6, 207)(7, 200)(8, 194)(9, 214)(10, 216)(11, 204)(12, 196)(13, 223)(14, 225)(15, 208)(16, 198)(17, 232)(18, 234)(19, 237)(20, 239)(21, 241)(22, 215)(23, 201)(24, 217)(25, 202)(26, 250)(27, 252)(28, 255)(29, 256)(30, 257)(31, 224)(32, 205)(33, 226)(34, 206)(35, 263)(36, 265)(37, 267)(38, 269)(39, 254)(40, 233)(41, 209)(42, 235)(43, 210)(44, 276)(45, 238)(46, 211)(47, 240)(48, 212)(49, 242)(50, 213)(51, 221)(52, 281)(53, 282)(54, 220)(55, 283)(56, 284)(57, 236)(58, 251)(59, 218)(60, 253)(61, 219)(62, 271)(63, 246)(64, 243)(65, 258)(66, 222)(67, 248)(68, 245)(69, 247)(70, 244)(71, 264)(72, 227)(73, 266)(74, 228)(75, 268)(76, 229)(77, 270)(78, 230)(79, 231)(80, 285)(81, 286)(82, 287)(83, 288)(84, 249)(85, 275)(86, 273)(87, 274)(88, 272)(89, 262)(90, 260)(91, 261)(92, 259)(93, 280)(94, 278)(95, 279)(96, 277)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.849
Graph:: simple bipartite
	v = 120 e = 192 f = 56
	degree seq :: [ 2^96, 8^24 ]

E9.851 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^6, T2^2 * T1^-1 * T2^3 * T1 * T2, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-1 * T2^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 41, 21, 7)(4, 11, 30, 56, 33, 12)(8, 22, 50, 37, 53, 23)(10, 27, 58, 38, 60, 28)(13, 34, 55, 24, 54, 35)(14, 36, 48, 26, 39, 16)(18, 43, 78, 49, 80, 44)(19, 45, 76, 40, 75, 46)(20, 47, 67, 42, 61, 29)(31, 63, 95, 68, 88, 64)(32, 65, 94, 62, 93, 66)(51, 86, 72, 84, 77, 74)(52, 87, 91, 85, 82, 57)(59, 81, 96, 69, 79, 90)(70, 92, 73, 89, 83, 71)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 112, 114)(103, 115, 116)(105, 120, 122)(107, 125, 127)(108, 128, 118)(111, 133, 134)(113, 136, 138)(117, 144, 145)(119, 147, 148)(121, 137, 152)(123, 153, 142)(124, 155, 150)(126, 158, 149)(129, 163, 164)(130, 154, 165)(131, 159, 166)(132, 167, 168)(135, 169, 170)(139, 173, 162)(140, 175, 171)(141, 174, 177)(143, 178, 179)(146, 180, 181)(151, 184, 185)(156, 187, 172)(157, 183, 188)(160, 192, 189)(161, 191, 186)(176, 182, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6^3 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E9.852
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 3^32, 6^16 ]

E9.852 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^4, (T2 * T1^-1)^4, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 5, 101)(2, 98, 6, 102, 7, 103)(4, 100, 10, 106, 11, 107)(8, 104, 18, 114, 19, 115)(9, 105, 20, 116, 21, 117)(12, 108, 26, 122, 27, 123)(13, 109, 28, 124, 29, 125)(14, 110, 30, 126, 31, 127)(15, 111, 32, 128, 33, 129)(16, 112, 34, 130, 35, 131)(17, 113, 36, 132, 37, 133)(22, 118, 45, 141, 46, 142)(23, 119, 47, 143, 48, 144)(24, 120, 49, 145, 50, 146)(25, 121, 51, 147, 52, 148)(38, 134, 73, 169, 72, 168)(39, 135, 74, 170, 75, 171)(40, 136, 64, 160, 57, 153)(41, 137, 69, 165, 76, 172)(42, 138, 77, 173, 78, 174)(43, 139, 65, 161, 79, 175)(44, 140, 80, 176, 61, 157)(53, 149, 87, 183, 89, 185)(54, 150, 68, 164, 85, 181)(55, 151, 70, 166, 62, 158)(56, 152, 90, 186, 83, 179)(58, 154, 91, 187, 67, 163)(59, 155, 81, 177, 92, 188)(60, 156, 93, 189, 88, 184)(63, 159, 86, 182, 94, 190)(66, 162, 95, 191, 82, 178)(71, 167, 96, 192, 84, 180)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 108)(6, 110)(7, 112)(8, 105)(9, 99)(10, 118)(11, 120)(12, 109)(13, 101)(14, 111)(15, 102)(16, 113)(17, 103)(18, 134)(19, 136)(20, 138)(21, 139)(22, 119)(23, 106)(24, 121)(25, 107)(26, 149)(27, 143)(28, 152)(29, 154)(30, 156)(31, 158)(32, 160)(33, 161)(34, 163)(35, 116)(36, 165)(37, 167)(38, 135)(39, 114)(40, 137)(41, 115)(42, 131)(43, 140)(44, 117)(45, 177)(46, 174)(47, 151)(48, 175)(49, 180)(50, 128)(51, 182)(52, 183)(53, 150)(54, 122)(55, 123)(56, 153)(57, 124)(58, 155)(59, 125)(60, 157)(61, 126)(62, 159)(63, 127)(64, 146)(65, 162)(66, 129)(67, 164)(68, 130)(69, 166)(70, 132)(71, 168)(72, 133)(73, 189)(74, 144)(75, 187)(76, 191)(77, 147)(78, 179)(79, 170)(80, 192)(81, 178)(82, 141)(83, 142)(84, 181)(85, 145)(86, 173)(87, 184)(88, 148)(89, 172)(90, 176)(91, 190)(92, 169)(93, 188)(94, 171)(95, 185)(96, 186)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.851
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 32 e = 96 f = 48
	degree seq :: [ 6^32 ]

E9.853 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, Y2^6, (Y3^-1 * Y1^-1)^3, Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^4, (Y1^-1 * Y2 * Y1^-1 * Y2^-2)^2 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 26, 122)(11, 107, 29, 125, 31, 127)(12, 108, 32, 128, 22, 118)(15, 111, 37, 133, 38, 134)(17, 113, 40, 136, 42, 138)(21, 117, 48, 144, 49, 145)(23, 119, 51, 147, 52, 148)(25, 121, 41, 137, 56, 152)(27, 123, 57, 153, 46, 142)(28, 124, 59, 155, 54, 150)(30, 126, 62, 158, 53, 149)(33, 129, 67, 163, 68, 164)(34, 130, 58, 154, 69, 165)(35, 131, 63, 159, 70, 166)(36, 132, 71, 167, 72, 168)(39, 135, 73, 169, 74, 170)(43, 139, 77, 173, 66, 162)(44, 140, 79, 175, 75, 171)(45, 141, 78, 174, 81, 177)(47, 143, 82, 178, 83, 179)(50, 146, 84, 180, 85, 181)(55, 151, 88, 184, 89, 185)(60, 156, 91, 187, 76, 172)(61, 157, 87, 183, 92, 188)(64, 160, 96, 192, 93, 189)(65, 161, 95, 191, 90, 186)(80, 176, 86, 182, 94, 190)(193, 289, 195, 291, 201, 297, 217, 313, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 233, 329, 213, 309, 199, 295)(196, 292, 203, 299, 222, 318, 248, 344, 225, 321, 204, 300)(200, 296, 214, 310, 242, 338, 229, 325, 245, 341, 215, 311)(202, 298, 219, 315, 250, 346, 230, 326, 252, 348, 220, 316)(205, 301, 226, 322, 247, 343, 216, 312, 246, 342, 227, 323)(206, 302, 228, 324, 240, 336, 218, 314, 231, 327, 208, 304)(210, 306, 235, 331, 270, 366, 241, 337, 272, 368, 236, 332)(211, 307, 237, 333, 268, 364, 232, 328, 267, 363, 238, 334)(212, 308, 239, 335, 259, 355, 234, 330, 253, 349, 221, 317)(223, 319, 255, 351, 287, 383, 260, 356, 280, 376, 256, 352)(224, 320, 257, 353, 286, 382, 254, 350, 285, 381, 258, 354)(243, 339, 278, 374, 264, 360, 276, 372, 269, 365, 266, 362)(244, 340, 279, 375, 283, 379, 277, 373, 274, 370, 249, 345)(251, 347, 273, 369, 288, 384, 261, 357, 271, 367, 282, 378)(262, 358, 284, 380, 265, 361, 281, 377, 275, 371, 263, 359)
	L = (1, 195)(2, 198)(3, 201)(4, 203)(5, 193)(6, 209)(7, 194)(8, 214)(9, 217)(10, 219)(11, 222)(12, 196)(13, 226)(14, 228)(15, 197)(16, 206)(17, 233)(18, 235)(19, 237)(20, 239)(21, 199)(22, 242)(23, 200)(24, 246)(25, 207)(26, 231)(27, 250)(28, 202)(29, 212)(30, 248)(31, 255)(32, 257)(33, 204)(34, 247)(35, 205)(36, 240)(37, 245)(38, 252)(39, 208)(40, 267)(41, 213)(42, 253)(43, 270)(44, 210)(45, 268)(46, 211)(47, 259)(48, 218)(49, 272)(50, 229)(51, 278)(52, 279)(53, 215)(54, 227)(55, 216)(56, 225)(57, 244)(58, 230)(59, 273)(60, 220)(61, 221)(62, 285)(63, 287)(64, 223)(65, 286)(66, 224)(67, 234)(68, 280)(69, 271)(70, 284)(71, 262)(72, 276)(73, 281)(74, 243)(75, 238)(76, 232)(77, 266)(78, 241)(79, 282)(80, 236)(81, 288)(82, 249)(83, 263)(84, 269)(85, 274)(86, 264)(87, 283)(88, 256)(89, 275)(90, 251)(91, 277)(92, 265)(93, 258)(94, 254)(95, 260)(96, 261)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.854
Graph:: bipartite
	v = 48 e = 192 f = 128
	degree seq :: [ 6^32, 12^16 ]

E9.854 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^3, Y2 * Y3^-3 * Y2^-1 * Y3^-3, (Y3^-1 * Y2^-1)^4, (Y3^2 * Y2^-1 * Y3^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 196, 292)(195, 291, 200, 296, 202, 298)(197, 293, 205, 301, 206, 302)(198, 294, 208, 304, 210, 306)(199, 295, 211, 307, 212, 308)(201, 297, 216, 312, 218, 314)(203, 299, 220, 316, 222, 318)(204, 300, 223, 319, 224, 320)(207, 303, 229, 325, 230, 326)(209, 305, 233, 329, 235, 331)(213, 309, 240, 336, 241, 337)(214, 310, 242, 338, 244, 340)(215, 311, 245, 341, 246, 342)(217, 313, 234, 330, 250, 346)(219, 315, 252, 348, 253, 349)(221, 317, 256, 352, 257, 353)(225, 321, 260, 356, 249, 345)(226, 322, 261, 357, 262, 358)(227, 323, 263, 359, 243, 339)(228, 324, 264, 360, 231, 327)(232, 328, 266, 362, 267, 363)(236, 332, 270, 366, 271, 367)(237, 333, 272, 368, 273, 369)(238, 334, 274, 370, 265, 361)(239, 335, 275, 371, 254, 350)(247, 343, 279, 375, 280, 376)(248, 344, 281, 377, 282, 378)(251, 347, 283, 379, 268, 364)(255, 351, 276, 372, 286, 382)(258, 354, 288, 384, 277, 373)(259, 355, 278, 374, 285, 381)(269, 365, 284, 380, 287, 383)
	L = (1, 195)(2, 198)(3, 201)(4, 203)(5, 193)(6, 209)(7, 194)(8, 214)(9, 217)(10, 211)(11, 221)(12, 196)(13, 226)(14, 227)(15, 197)(16, 231)(17, 234)(18, 223)(19, 237)(20, 238)(21, 199)(22, 243)(23, 200)(24, 248)(25, 207)(26, 245)(27, 202)(28, 254)(29, 250)(30, 205)(31, 258)(32, 259)(33, 204)(34, 249)(35, 251)(36, 206)(37, 247)(38, 233)(39, 265)(40, 208)(41, 219)(42, 213)(43, 266)(44, 210)(45, 230)(46, 269)(47, 212)(48, 268)(49, 256)(50, 224)(51, 229)(52, 252)(53, 228)(54, 278)(55, 215)(56, 222)(57, 216)(58, 225)(59, 218)(60, 271)(61, 284)(62, 285)(63, 220)(64, 236)(65, 276)(66, 241)(67, 279)(68, 287)(69, 273)(70, 264)(71, 286)(72, 270)(73, 240)(74, 239)(75, 263)(76, 232)(77, 235)(78, 282)(79, 280)(80, 277)(81, 275)(82, 246)(83, 281)(84, 242)(85, 244)(86, 267)(87, 257)(88, 272)(89, 253)(90, 283)(91, 288)(92, 261)(93, 260)(94, 274)(95, 255)(96, 262)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.853
Graph:: simple bipartite
	v = 128 e = 192 f = 48
	degree seq :: [ 2^96, 6^32 ]

E9.855 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^6, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-2)^3, (T2 * T1^2 * T2 * T1^-2)^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, 45, 28, 14)(9, 19, 35, 57, 37, 20)(12, 23, 34, 56, 44, 24)(16, 31, 51, 71, 47, 27)(17, 32, 53, 77, 55, 33)(21, 38, 61, 50, 30, 39)(22, 40, 48, 72, 58, 41)(26, 46, 68, 88, 66, 43)(36, 59, 81, 93, 82, 60)(42, 65, 86, 96, 85, 64)(49, 73, 70, 90, 78, 74)(52, 76, 67, 89, 87, 75)(54, 79, 91, 92, 80, 69)(62, 63, 84, 95, 94, 83)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 32)(20, 36)(23, 42)(24, 43)(25, 37)(28, 48)(29, 49)(31, 52)(33, 54)(35, 58)(38, 59)(39, 62)(40, 63)(41, 64)(44, 61)(45, 67)(46, 69)(47, 70)(50, 75)(51, 55)(53, 78)(56, 79)(57, 80)(60, 76)(65, 73)(66, 87)(68, 71)(72, 90)(74, 83)(77, 82)(81, 91)(84, 89)(85, 92)(86, 88)(93, 94)(95, 96)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 16 e = 48 f = 16
	degree seq :: [ 6^16 ]

E9.856 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2 * T1 * T2^-1 * T1)^2, (T1 * T2^-2)^3, (T2 * T1 * T2^-2 * T1 * T2)^2, (T2^-1 * T1)^6 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 51, 31, 16)(9, 19, 35, 58, 37, 20)(11, 22, 41, 65, 42, 23)(13, 26, 45, 70, 47, 27)(17, 32, 28, 48, 54, 33)(21, 38, 61, 43, 24, 39)(29, 49, 73, 87, 74, 50)(34, 55, 52, 76, 57, 56)(36, 59, 81, 93, 82, 60)(40, 63, 75, 88, 84, 64)(44, 67, 66, 85, 69, 68)(46, 71, 86, 92, 80, 72)(53, 77, 89, 95, 90, 78)(62, 79, 91, 96, 94, 83)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 120)(110, 124)(111, 125)(112, 119)(114, 130)(115, 122)(116, 132)(118, 136)(121, 140)(123, 142)(126, 133)(127, 148)(128, 149)(129, 146)(131, 153)(134, 155)(135, 158)(137, 143)(138, 162)(139, 160)(141, 165)(144, 167)(145, 168)(147, 171)(150, 157)(151, 175)(152, 174)(154, 176)(156, 159)(161, 169)(163, 173)(164, 179)(166, 178)(170, 180)(172, 181)(177, 182)(183, 185)(184, 187)(186, 188)(189, 190)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E9.857
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 96 f = 16
	degree seq :: [ 2^48, 6^16 ]

E9.857 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2 * T1 * T2^-1 * T1)^2, (T1 * T2^-2)^3, (T2 * T1 * T2^-2 * T1 * T2)^2, (T2^-1 * T1)^6 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 25, 121, 14, 110, 6, 102)(7, 103, 15, 111, 30, 126, 51, 147, 31, 127, 16, 112)(9, 105, 19, 115, 35, 131, 58, 154, 37, 133, 20, 116)(11, 107, 22, 118, 41, 137, 65, 161, 42, 138, 23, 119)(13, 109, 26, 122, 45, 141, 70, 166, 47, 143, 27, 123)(17, 113, 32, 128, 28, 124, 48, 144, 54, 150, 33, 129)(21, 117, 38, 134, 61, 157, 43, 139, 24, 120, 39, 135)(29, 125, 49, 145, 73, 169, 87, 183, 74, 170, 50, 146)(34, 130, 55, 151, 52, 148, 76, 172, 57, 153, 56, 152)(36, 132, 59, 155, 81, 177, 93, 189, 82, 178, 60, 156)(40, 136, 63, 159, 75, 171, 88, 184, 84, 180, 64, 160)(44, 140, 67, 163, 66, 162, 85, 181, 69, 165, 68, 164)(46, 142, 71, 167, 86, 182, 92, 188, 80, 176, 72, 168)(53, 149, 77, 173, 89, 185, 95, 191, 90, 186, 78, 174)(62, 158, 79, 175, 91, 187, 96, 192, 94, 190, 83, 179)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 120)(13, 102)(14, 124)(15, 125)(16, 119)(17, 104)(18, 130)(19, 122)(20, 132)(21, 106)(22, 136)(23, 112)(24, 108)(25, 140)(26, 115)(27, 142)(28, 110)(29, 111)(30, 133)(31, 148)(32, 149)(33, 146)(34, 114)(35, 153)(36, 116)(37, 126)(38, 155)(39, 158)(40, 118)(41, 143)(42, 162)(43, 160)(44, 121)(45, 165)(46, 123)(47, 137)(48, 167)(49, 168)(50, 129)(51, 171)(52, 127)(53, 128)(54, 157)(55, 175)(56, 174)(57, 131)(58, 176)(59, 134)(60, 159)(61, 150)(62, 135)(63, 156)(64, 139)(65, 169)(66, 138)(67, 173)(68, 179)(69, 141)(70, 178)(71, 144)(72, 145)(73, 161)(74, 180)(75, 147)(76, 181)(77, 163)(78, 152)(79, 151)(80, 154)(81, 182)(82, 166)(83, 164)(84, 170)(85, 172)(86, 177)(87, 185)(88, 187)(89, 183)(90, 188)(91, 184)(92, 186)(93, 190)(94, 189)(95, 192)(96, 191)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.856
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 96 f = 64
	degree seq :: [ 12^16 ]

E9.858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1 * Y2)^3, (Y2 * Y1 * Y2^-2 * Y1 * Y2)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 24, 120)(14, 110, 28, 124)(15, 111, 29, 125)(16, 112, 23, 119)(18, 114, 34, 130)(19, 115, 26, 122)(20, 116, 36, 132)(22, 118, 40, 136)(25, 121, 44, 140)(27, 123, 46, 142)(30, 126, 37, 133)(31, 127, 52, 148)(32, 128, 53, 149)(33, 129, 50, 146)(35, 131, 57, 153)(38, 134, 59, 155)(39, 135, 62, 158)(41, 137, 47, 143)(42, 138, 66, 162)(43, 139, 64, 160)(45, 141, 69, 165)(48, 144, 71, 167)(49, 145, 72, 168)(51, 147, 75, 171)(54, 150, 61, 157)(55, 151, 79, 175)(56, 152, 78, 174)(58, 154, 80, 176)(60, 156, 63, 159)(65, 161, 73, 169)(67, 163, 77, 173)(68, 164, 83, 179)(70, 166, 82, 178)(74, 170, 84, 180)(76, 172, 85, 181)(81, 177, 86, 182)(87, 183, 89, 185)(88, 184, 91, 187)(90, 186, 92, 188)(93, 189, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 217, 313, 206, 302, 198, 294)(199, 295, 207, 303, 222, 318, 243, 339, 223, 319, 208, 304)(201, 297, 211, 307, 227, 323, 250, 346, 229, 325, 212, 308)(203, 299, 214, 310, 233, 329, 257, 353, 234, 330, 215, 311)(205, 301, 218, 314, 237, 333, 262, 358, 239, 335, 219, 315)(209, 305, 224, 320, 220, 316, 240, 336, 246, 342, 225, 321)(213, 309, 230, 326, 253, 349, 235, 331, 216, 312, 231, 327)(221, 317, 241, 337, 265, 361, 279, 375, 266, 362, 242, 338)(226, 322, 247, 343, 244, 340, 268, 364, 249, 345, 248, 344)(228, 324, 251, 347, 273, 369, 285, 381, 274, 370, 252, 348)(232, 328, 255, 351, 267, 363, 280, 376, 276, 372, 256, 352)(236, 332, 259, 355, 258, 354, 277, 373, 261, 357, 260, 356)(238, 334, 263, 359, 278, 374, 284, 380, 272, 368, 264, 360)(245, 341, 269, 365, 281, 377, 287, 383, 282, 378, 270, 366)(254, 350, 271, 367, 283, 379, 288, 384, 286, 382, 275, 371)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 215)(17, 200)(18, 226)(19, 218)(20, 228)(21, 202)(22, 232)(23, 208)(24, 204)(25, 236)(26, 211)(27, 238)(28, 206)(29, 207)(30, 229)(31, 244)(32, 245)(33, 242)(34, 210)(35, 249)(36, 212)(37, 222)(38, 251)(39, 254)(40, 214)(41, 239)(42, 258)(43, 256)(44, 217)(45, 261)(46, 219)(47, 233)(48, 263)(49, 264)(50, 225)(51, 267)(52, 223)(53, 224)(54, 253)(55, 271)(56, 270)(57, 227)(58, 272)(59, 230)(60, 255)(61, 246)(62, 231)(63, 252)(64, 235)(65, 265)(66, 234)(67, 269)(68, 275)(69, 237)(70, 274)(71, 240)(72, 241)(73, 257)(74, 276)(75, 243)(76, 277)(77, 259)(78, 248)(79, 247)(80, 250)(81, 278)(82, 262)(83, 260)(84, 266)(85, 268)(86, 273)(87, 281)(88, 283)(89, 279)(90, 284)(91, 280)(92, 282)(93, 286)(94, 285)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.859
Graph:: bipartite
	v = 64 e = 192 f = 112
	degree seq :: [ 4^48, 12^16 ]

E9.859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^6, (Y3 * Y1 * Y3 * Y1^-1)^2, (Y1 * Y3 * Y1)^3, (Y3 * Y1^-1)^6, (Y3 * Y1^2 * Y3 * Y1^-2)^2 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 29, 125, 18, 114, 8, 104)(6, 102, 13, 109, 25, 121, 45, 141, 28, 124, 14, 110)(9, 105, 19, 115, 35, 131, 57, 153, 37, 133, 20, 116)(12, 108, 23, 119, 34, 130, 56, 152, 44, 140, 24, 120)(16, 112, 31, 127, 51, 147, 71, 167, 47, 143, 27, 123)(17, 113, 32, 128, 53, 149, 77, 173, 55, 151, 33, 129)(21, 117, 38, 134, 61, 157, 50, 146, 30, 126, 39, 135)(22, 118, 40, 136, 48, 144, 72, 168, 58, 154, 41, 137)(26, 122, 46, 142, 68, 164, 88, 184, 66, 162, 43, 139)(36, 132, 59, 155, 81, 177, 93, 189, 82, 178, 60, 156)(42, 138, 65, 161, 86, 182, 96, 192, 85, 181, 64, 160)(49, 145, 73, 169, 70, 166, 90, 186, 78, 174, 74, 170)(52, 148, 76, 172, 67, 163, 89, 185, 87, 183, 75, 171)(54, 150, 79, 175, 91, 187, 92, 188, 80, 176, 69, 165)(62, 158, 63, 159, 84, 180, 95, 191, 94, 190, 83, 179)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 214)(12, 197)(13, 218)(14, 219)(15, 222)(16, 199)(17, 200)(18, 226)(19, 224)(20, 228)(21, 202)(22, 203)(23, 234)(24, 235)(25, 229)(26, 205)(27, 206)(28, 240)(29, 241)(30, 207)(31, 244)(32, 211)(33, 246)(34, 210)(35, 250)(36, 212)(37, 217)(38, 251)(39, 254)(40, 255)(41, 256)(42, 215)(43, 216)(44, 253)(45, 259)(46, 261)(47, 262)(48, 220)(49, 221)(50, 267)(51, 247)(52, 223)(53, 270)(54, 225)(55, 243)(56, 271)(57, 272)(58, 227)(59, 230)(60, 268)(61, 236)(62, 231)(63, 232)(64, 233)(65, 265)(66, 279)(67, 237)(68, 263)(69, 238)(70, 239)(71, 260)(72, 282)(73, 257)(74, 275)(75, 242)(76, 252)(77, 274)(78, 245)(79, 248)(80, 249)(81, 283)(82, 269)(83, 266)(84, 281)(85, 284)(86, 280)(87, 258)(88, 278)(89, 276)(90, 264)(91, 273)(92, 277)(93, 286)(94, 285)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.858
Graph:: simple bipartite
	v = 112 e = 192 f = 64
	degree seq :: [ 2^96, 12^16 ]

E9.860 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 202>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^6, T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * 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, 49, 70, 59, 32)(17, 33, 60, 71, 62, 34)(21, 40, 58, 87, 68, 41)(22, 42, 69, 89, 72, 43)(26, 50, 74, 67, 80, 51)(27, 52, 81, 63, 35, 53)(30, 45, 75, 65, 37, 56)(38, 54, 77, 46, 76, 66)(55, 78, 90, 96, 95, 83)(57, 85, 91, 82, 94, 86)(61, 88, 92, 84, 93, 79)
	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, 47)(34, 61)(36, 51)(39, 62)(40, 67)(41, 63)(42, 70)(43, 71)(44, 74)(48, 78)(50, 79)(52, 72)(53, 82)(56, 84)(59, 88)(60, 86)(64, 83)(65, 69)(66, 85)(68, 76)(73, 90)(75, 91)(77, 92)(80, 94)(81, 93)(87, 95)(89, 96)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 48 f = 16
	degree seq :: [ 6^16 ]

E9.861 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 202>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1, T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1)^6 ]
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, 78, 49, 34)(21, 40, 44, 72, 68, 41)(24, 46, 74, 64, 36, 47)(28, 53, 31, 58, 82, 54)(29, 55, 83, 67, 84, 56)(35, 62, 88, 95, 85, 63)(38, 59, 86, 61, 87, 66)(42, 69, 89, 81, 90, 70)(48, 76, 94, 96, 91, 77)(51, 73, 92, 75, 93, 80)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 120)(110, 124)(111, 125)(112, 127)(114, 131)(115, 132)(116, 134)(118, 138)(119, 140)(121, 144)(122, 145)(123, 147)(126, 139)(128, 155)(129, 142)(130, 157)(133, 152)(135, 148)(136, 163)(137, 150)(141, 169)(143, 171)(146, 166)(149, 177)(151, 176)(153, 172)(154, 181)(156, 179)(158, 167)(159, 175)(160, 184)(161, 173)(162, 165)(164, 183)(168, 187)(170, 185)(174, 190)(178, 189)(180, 186)(182, 188)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E9.862
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 96 f = 16
	degree seq :: [ 2^48, 6^16 ]

E9.862 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 202>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1, T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1)^6 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 25, 121, 14, 110, 6, 102)(7, 103, 15, 111, 30, 126, 57, 153, 32, 128, 16, 112)(9, 105, 19, 115, 37, 133, 65, 161, 39, 135, 20, 116)(11, 107, 22, 118, 43, 139, 71, 167, 45, 141, 23, 119)(13, 109, 26, 122, 50, 146, 79, 175, 52, 148, 27, 123)(17, 113, 33, 129, 60, 156, 78, 174, 49, 145, 34, 130)(21, 117, 40, 136, 44, 140, 72, 168, 68, 164, 41, 137)(24, 120, 46, 142, 74, 170, 64, 160, 36, 132, 47, 143)(28, 124, 53, 149, 31, 127, 58, 154, 82, 178, 54, 150)(29, 125, 55, 151, 83, 179, 67, 163, 84, 180, 56, 152)(35, 131, 62, 158, 88, 184, 95, 191, 85, 181, 63, 159)(38, 134, 59, 155, 86, 182, 61, 157, 87, 183, 66, 162)(42, 138, 69, 165, 89, 185, 81, 177, 90, 186, 70, 166)(48, 144, 76, 172, 94, 190, 96, 192, 91, 187, 77, 173)(51, 147, 73, 169, 92, 188, 75, 171, 93, 189, 80, 176)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 120)(13, 102)(14, 124)(15, 125)(16, 127)(17, 104)(18, 131)(19, 132)(20, 134)(21, 106)(22, 138)(23, 140)(24, 108)(25, 144)(26, 145)(27, 147)(28, 110)(29, 111)(30, 139)(31, 112)(32, 155)(33, 142)(34, 157)(35, 114)(36, 115)(37, 152)(38, 116)(39, 148)(40, 163)(41, 150)(42, 118)(43, 126)(44, 119)(45, 169)(46, 129)(47, 171)(48, 121)(49, 122)(50, 166)(51, 123)(52, 135)(53, 177)(54, 137)(55, 176)(56, 133)(57, 172)(58, 181)(59, 128)(60, 179)(61, 130)(62, 167)(63, 175)(64, 184)(65, 173)(66, 165)(67, 136)(68, 183)(69, 162)(70, 146)(71, 158)(72, 187)(73, 141)(74, 185)(75, 143)(76, 153)(77, 161)(78, 190)(79, 159)(80, 151)(81, 149)(82, 189)(83, 156)(84, 186)(85, 154)(86, 188)(87, 164)(88, 160)(89, 170)(90, 180)(91, 168)(92, 182)(93, 178)(94, 174)(95, 192)(96, 191)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.861
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 64
	degree seq :: [ 12^16 ]

E9.863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 202>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|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^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 24, 120)(14, 110, 28, 124)(15, 111, 29, 125)(16, 112, 31, 127)(18, 114, 35, 131)(19, 115, 36, 132)(20, 116, 38, 134)(22, 118, 42, 138)(23, 119, 44, 140)(25, 121, 48, 144)(26, 122, 49, 145)(27, 123, 51, 147)(30, 126, 43, 139)(32, 128, 59, 155)(33, 129, 46, 142)(34, 130, 61, 157)(37, 133, 56, 152)(39, 135, 52, 148)(40, 136, 67, 163)(41, 137, 54, 150)(45, 141, 73, 169)(47, 143, 75, 171)(50, 146, 70, 166)(53, 149, 81, 177)(55, 151, 80, 176)(57, 153, 76, 172)(58, 154, 85, 181)(60, 156, 83, 179)(62, 158, 71, 167)(63, 159, 79, 175)(64, 160, 88, 184)(65, 161, 77, 173)(66, 162, 69, 165)(68, 164, 87, 183)(72, 168, 91, 187)(74, 170, 89, 185)(78, 174, 94, 190)(82, 178, 93, 189)(84, 180, 90, 186)(86, 182, 92, 188)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 217, 313, 206, 302, 198, 294)(199, 295, 207, 303, 222, 318, 249, 345, 224, 320, 208, 304)(201, 297, 211, 307, 229, 325, 257, 353, 231, 327, 212, 308)(203, 299, 214, 310, 235, 331, 263, 359, 237, 333, 215, 311)(205, 301, 218, 314, 242, 338, 271, 367, 244, 340, 219, 315)(209, 305, 225, 321, 252, 348, 270, 366, 241, 337, 226, 322)(213, 309, 232, 328, 236, 332, 264, 360, 260, 356, 233, 329)(216, 312, 238, 334, 266, 362, 256, 352, 228, 324, 239, 335)(220, 316, 245, 341, 223, 319, 250, 346, 274, 370, 246, 342)(221, 317, 247, 343, 275, 371, 259, 355, 276, 372, 248, 344)(227, 323, 254, 350, 280, 376, 287, 383, 277, 373, 255, 351)(230, 326, 251, 347, 278, 374, 253, 349, 279, 375, 258, 354)(234, 330, 261, 357, 281, 377, 273, 369, 282, 378, 262, 358)(240, 336, 268, 364, 286, 382, 288, 384, 283, 379, 269, 365)(243, 339, 265, 361, 284, 380, 267, 363, 285, 381, 272, 368)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 227)(19, 228)(20, 230)(21, 202)(22, 234)(23, 236)(24, 204)(25, 240)(26, 241)(27, 243)(28, 206)(29, 207)(30, 235)(31, 208)(32, 251)(33, 238)(34, 253)(35, 210)(36, 211)(37, 248)(38, 212)(39, 244)(40, 259)(41, 246)(42, 214)(43, 222)(44, 215)(45, 265)(46, 225)(47, 267)(48, 217)(49, 218)(50, 262)(51, 219)(52, 231)(53, 273)(54, 233)(55, 272)(56, 229)(57, 268)(58, 277)(59, 224)(60, 275)(61, 226)(62, 263)(63, 271)(64, 280)(65, 269)(66, 261)(67, 232)(68, 279)(69, 258)(70, 242)(71, 254)(72, 283)(73, 237)(74, 281)(75, 239)(76, 249)(77, 257)(78, 286)(79, 255)(80, 247)(81, 245)(82, 285)(83, 252)(84, 282)(85, 250)(86, 284)(87, 260)(88, 256)(89, 266)(90, 276)(91, 264)(92, 278)(93, 274)(94, 270)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.864
Graph:: bipartite
	v = 64 e = 192 f = 112
	degree seq :: [ 4^48, 12^16 ]

E9.864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 202>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^6, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-1, (Y3 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 29, 125, 18, 114, 8, 104)(6, 102, 13, 109, 25, 121, 48, 144, 28, 124, 14, 110)(9, 105, 19, 115, 36, 132, 64, 160, 39, 135, 20, 116)(12, 108, 23, 119, 44, 140, 73, 169, 47, 143, 24, 120)(16, 112, 31, 127, 49, 145, 70, 166, 59, 155, 32, 128)(17, 113, 33, 129, 60, 156, 71, 167, 62, 158, 34, 130)(21, 117, 40, 136, 58, 154, 87, 183, 68, 164, 41, 137)(22, 118, 42, 138, 69, 165, 89, 185, 72, 168, 43, 139)(26, 122, 50, 146, 74, 170, 67, 163, 80, 176, 51, 147)(27, 123, 52, 148, 81, 177, 63, 159, 35, 131, 53, 149)(30, 126, 45, 141, 75, 171, 65, 161, 37, 133, 56, 152)(38, 134, 54, 150, 77, 173, 46, 142, 76, 172, 66, 162)(55, 151, 78, 174, 90, 186, 96, 192, 95, 191, 83, 179)(57, 153, 85, 181, 91, 187, 82, 178, 94, 190, 86, 182)(61, 157, 88, 184, 92, 188, 84, 180, 93, 189, 79, 175)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 214)(12, 197)(13, 218)(14, 219)(15, 222)(16, 199)(17, 200)(18, 227)(19, 229)(20, 230)(21, 202)(22, 203)(23, 237)(24, 238)(25, 241)(26, 205)(27, 206)(28, 246)(29, 247)(30, 207)(31, 249)(32, 250)(33, 239)(34, 253)(35, 210)(36, 243)(37, 211)(38, 212)(39, 254)(40, 259)(41, 255)(42, 262)(43, 263)(44, 266)(45, 215)(46, 216)(47, 225)(48, 270)(49, 217)(50, 271)(51, 228)(52, 264)(53, 274)(54, 220)(55, 221)(56, 276)(57, 223)(58, 224)(59, 280)(60, 278)(61, 226)(62, 231)(63, 233)(64, 275)(65, 261)(66, 277)(67, 232)(68, 268)(69, 257)(70, 234)(71, 235)(72, 244)(73, 282)(74, 236)(75, 283)(76, 260)(77, 284)(78, 240)(79, 242)(80, 286)(81, 285)(82, 245)(83, 256)(84, 248)(85, 258)(86, 252)(87, 287)(88, 251)(89, 288)(90, 265)(91, 267)(92, 269)(93, 273)(94, 272)(95, 279)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.863
Graph:: simple bipartite
	v = 112 e = 192 f = 64
	degree seq :: [ 2^96, 12^16 ]

E9.865 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2)^4, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^3 * T2, (T1^-1 * T2 * T1^-3)^2, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 68, 67, 44, 22, 10, 4)(3, 7, 15, 31, 59, 77, 87, 70, 46, 37, 18, 8)(6, 13, 27, 53, 43, 66, 83, 85, 69, 58, 30, 14)(9, 19, 38, 64, 81, 90, 72, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 65, 82, 84, 76, 52, 26)(16, 33, 50, 29, 56, 71, 88, 94, 91, 80, 62, 34)(17, 35, 51, 74, 86, 95, 92, 78, 60, 39, 55, 28)(32, 54, 73, 63, 36, 57, 75, 89, 96, 93, 79, 61)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 84)(70, 86)(72, 89)(76, 88)(77, 91)(82, 92)(83, 93)(85, 94)(87, 96)(90, 95)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.866
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 24
	degree seq :: [ 12^8 ]

E9.866 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1, (T1 * T2 * T1^-1 * T2 * T1 * T2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 32, 25)(15, 26, 33, 27)(21, 35, 29, 36)(22, 37, 30, 38)(23, 34, 44, 39)(40, 49, 42, 50)(41, 51, 43, 52)(45, 53, 47, 54)(46, 55, 48, 56)(57, 65, 59, 66)(58, 67, 60, 68)(61, 69, 63, 70)(62, 71, 64, 72)(73, 81, 75, 82)(74, 83, 76, 84)(77, 85, 79, 86)(78, 87, 80, 88)(89, 96, 91, 94)(90, 95, 92, 93)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 40)(25, 41)(26, 42)(27, 43)(28, 39)(31, 44)(35, 45)(36, 46)(37, 47)(38, 48)(49, 57)(50, 58)(51, 59)(52, 60)(53, 61)(54, 62)(55, 63)(56, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70, 78)(71, 79)(72, 80)(81, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(87, 95)(88, 96)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E9.865
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 48 f = 8
	degree seq :: [ 4^24 ]

E9.867 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1 * T2 * T1)^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, 43, 27)(20, 34, 48, 35)(23, 39, 28, 40)(25, 41, 30, 42)(31, 44, 36, 45)(33, 46, 38, 47)(49, 57, 51, 58)(50, 59, 52, 60)(53, 61, 55, 62)(54, 63, 56, 64)(65, 73, 67, 74)(66, 75, 68, 76)(69, 77, 71, 78)(70, 79, 72, 80)(81, 89, 83, 90)(82, 91, 84, 92)(85, 93, 87, 94)(86, 95, 88, 96)(97, 98)(99, 103)(100, 105)(101, 106)(102, 108)(104, 111)(107, 116)(109, 119)(110, 121)(112, 124)(113, 126)(114, 127)(115, 129)(117, 132)(118, 134)(120, 130)(122, 128)(123, 133)(125, 131)(135, 145)(136, 146)(137, 147)(138, 148)(139, 144)(140, 149)(141, 150)(142, 151)(143, 152)(153, 161)(154, 162)(155, 163)(156, 164)(157, 165)(158, 166)(159, 167)(160, 168)(169, 177)(170, 178)(171, 179)(172, 180)(173, 181)(174, 182)(175, 183)(176, 184)(185, 192)(186, 190)(187, 191)(188, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E9.871
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 96 f = 8
	degree seq :: [ 2^48, 4^24 ]

E9.868 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1, (T2 * T1^-1)^4, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 64, 80, 68, 52, 32, 14, 5)(2, 7, 17, 38, 57, 73, 88, 76, 60, 44, 20, 8)(4, 12, 27, 49, 65, 81, 91, 77, 61, 45, 22, 9)(6, 15, 33, 53, 69, 84, 94, 85, 70, 54, 36, 16)(11, 26, 35, 31, 51, 67, 83, 92, 78, 62, 46, 23)(13, 29, 50, 66, 82, 93, 79, 63, 47, 25, 34, 30)(18, 40, 21, 43, 59, 75, 90, 95, 86, 71, 55, 37)(19, 41, 58, 74, 89, 96, 87, 72, 56, 39, 28, 42)(97, 98, 102, 100)(99, 105, 117, 107)(101, 109, 114, 103)(104, 115, 130, 111)(106, 119, 129, 121)(108, 112, 131, 124)(110, 127, 132, 125)(113, 133, 123, 135)(116, 139, 118, 137)(120, 143, 155, 140)(122, 136, 126, 138)(128, 145, 151, 147)(134, 152, 146, 150)(141, 149, 142, 154)(144, 156, 165, 157)(148, 153, 166, 161)(158, 171, 159, 170)(160, 173, 186, 174)(162, 168, 163, 167)(164, 178, 182, 169)(172, 185, 175, 180)(176, 188, 190, 189)(177, 181, 179, 183)(184, 191, 187, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.872
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.869 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1, (T2 * T1^-4)^2, T1^12 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 84)(70, 86)(72, 89)(76, 88)(77, 91)(82, 92)(83, 93)(85, 94)(87, 96)(90, 95)(97, 98, 101, 107, 119, 141, 164, 163, 140, 118, 106, 100)(99, 103, 111, 127, 155, 173, 183, 166, 142, 133, 114, 104)(102, 109, 123, 149, 139, 162, 179, 181, 165, 154, 126, 110)(105, 115, 134, 160, 177, 186, 168, 144, 120, 143, 136, 116)(108, 121, 145, 138, 117, 137, 161, 178, 180, 172, 148, 122)(112, 129, 146, 125, 152, 167, 184, 190, 187, 176, 158, 130)(113, 131, 147, 170, 182, 191, 188, 174, 156, 135, 151, 124)(128, 150, 169, 159, 132, 153, 171, 185, 192, 189, 175, 157)
	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 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E9.870
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 2^48, 12^8 ]

E9.870 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1 * T2 * T1)^4 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 4, 100)(2, 98, 5, 101, 11, 107, 6, 102)(7, 103, 13, 109, 24, 120, 14, 110)(9, 105, 16, 112, 29, 125, 17, 113)(10, 106, 18, 114, 32, 128, 19, 115)(12, 108, 21, 117, 37, 133, 22, 118)(15, 111, 26, 122, 43, 139, 27, 123)(20, 116, 34, 130, 48, 144, 35, 131)(23, 119, 39, 135, 28, 124, 40, 136)(25, 121, 41, 137, 30, 126, 42, 138)(31, 127, 44, 140, 36, 132, 45, 141)(33, 129, 46, 142, 38, 134, 47, 143)(49, 145, 57, 153, 51, 147, 58, 154)(50, 146, 59, 155, 52, 148, 60, 156)(53, 149, 61, 157, 55, 151, 62, 158)(54, 150, 63, 159, 56, 152, 64, 160)(65, 161, 73, 169, 67, 163, 74, 170)(66, 162, 75, 171, 68, 164, 76, 172)(69, 165, 77, 173, 71, 167, 78, 174)(70, 166, 79, 175, 72, 168, 80, 176)(81, 177, 89, 185, 83, 179, 90, 186)(82, 178, 91, 187, 84, 180, 92, 188)(85, 181, 93, 189, 87, 183, 94, 190)(86, 182, 95, 191, 88, 184, 96, 192)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 106)(6, 108)(7, 99)(8, 111)(9, 100)(10, 101)(11, 116)(12, 102)(13, 119)(14, 121)(15, 104)(16, 124)(17, 126)(18, 127)(19, 129)(20, 107)(21, 132)(22, 134)(23, 109)(24, 130)(25, 110)(26, 128)(27, 133)(28, 112)(29, 131)(30, 113)(31, 114)(32, 122)(33, 115)(34, 120)(35, 125)(36, 117)(37, 123)(38, 118)(39, 145)(40, 146)(41, 147)(42, 148)(43, 144)(44, 149)(45, 150)(46, 151)(47, 152)(48, 139)(49, 135)(50, 136)(51, 137)(52, 138)(53, 140)(54, 141)(55, 142)(56, 143)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)(89, 192)(90, 190)(91, 191)(92, 189)(93, 188)(94, 186)(95, 187)(96, 185)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.869
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 56
	degree seq :: [ 8^24 ]

E9.871 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1, (T2 * T1^-1)^4, T2^12 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 24, 120, 48, 144, 64, 160, 80, 176, 68, 164, 52, 148, 32, 128, 14, 110, 5, 101)(2, 98, 7, 103, 17, 113, 38, 134, 57, 153, 73, 169, 88, 184, 76, 172, 60, 156, 44, 140, 20, 116, 8, 104)(4, 100, 12, 108, 27, 123, 49, 145, 65, 161, 81, 177, 91, 187, 77, 173, 61, 157, 45, 141, 22, 118, 9, 105)(6, 102, 15, 111, 33, 129, 53, 149, 69, 165, 84, 180, 94, 190, 85, 181, 70, 166, 54, 150, 36, 132, 16, 112)(11, 107, 26, 122, 35, 131, 31, 127, 51, 147, 67, 163, 83, 179, 92, 188, 78, 174, 62, 158, 46, 142, 23, 119)(13, 109, 29, 125, 50, 146, 66, 162, 82, 178, 93, 189, 79, 175, 63, 159, 47, 143, 25, 121, 34, 130, 30, 126)(18, 114, 40, 136, 21, 117, 43, 139, 59, 155, 75, 171, 90, 186, 95, 191, 86, 182, 71, 167, 55, 151, 37, 133)(19, 115, 41, 137, 58, 154, 74, 170, 89, 185, 96, 192, 87, 183, 72, 168, 56, 152, 39, 135, 28, 124, 42, 138)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 109)(6, 100)(7, 101)(8, 115)(9, 117)(10, 119)(11, 99)(12, 112)(13, 114)(14, 127)(15, 104)(16, 131)(17, 133)(18, 103)(19, 130)(20, 139)(21, 107)(22, 137)(23, 129)(24, 143)(25, 106)(26, 136)(27, 135)(28, 108)(29, 110)(30, 138)(31, 132)(32, 145)(33, 121)(34, 111)(35, 124)(36, 125)(37, 123)(38, 152)(39, 113)(40, 126)(41, 116)(42, 122)(43, 118)(44, 120)(45, 149)(46, 154)(47, 155)(48, 156)(49, 151)(50, 150)(51, 128)(52, 153)(53, 142)(54, 134)(55, 147)(56, 146)(57, 166)(58, 141)(59, 140)(60, 165)(61, 144)(62, 171)(63, 170)(64, 173)(65, 148)(66, 168)(67, 167)(68, 178)(69, 157)(70, 161)(71, 162)(72, 163)(73, 164)(74, 158)(75, 159)(76, 185)(77, 186)(78, 160)(79, 180)(80, 188)(81, 181)(82, 182)(83, 183)(84, 172)(85, 179)(86, 169)(87, 177)(88, 191)(89, 175)(90, 174)(91, 192)(92, 190)(93, 176)(94, 189)(95, 187)(96, 184)
	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 E9.867
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 72
	degree seq :: [ 24^8 ]

E9.872 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1, (T2 * T1^-4)^2, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 21, 117)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 29, 125)(15, 111, 32, 128)(18, 114, 36, 132)(19, 115, 39, 135)(20, 116, 33, 129)(22, 118, 43, 139)(23, 119, 46, 142)(25, 121, 50, 146)(26, 122, 51, 147)(27, 123, 54, 150)(30, 126, 57, 153)(31, 127, 60, 156)(34, 130, 53, 149)(35, 131, 47, 143)(37, 133, 56, 152)(38, 134, 61, 157)(40, 136, 63, 159)(41, 137, 62, 158)(42, 138, 55, 151)(44, 140, 59, 155)(45, 141, 69, 165)(48, 144, 71, 167)(49, 145, 73, 169)(52, 148, 75, 171)(58, 154, 74, 170)(64, 160, 80, 176)(65, 161, 79, 175)(66, 162, 78, 174)(67, 163, 81, 177)(68, 164, 84, 180)(70, 166, 86, 182)(72, 168, 89, 185)(76, 172, 88, 184)(77, 173, 91, 187)(82, 178, 92, 188)(83, 179, 93, 189)(85, 181, 94, 190)(87, 183, 96, 192)(90, 186, 95, 191)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 115)(10, 100)(11, 119)(12, 121)(13, 123)(14, 102)(15, 127)(16, 129)(17, 131)(18, 104)(19, 134)(20, 105)(21, 137)(22, 106)(23, 141)(24, 143)(25, 145)(26, 108)(27, 149)(28, 113)(29, 152)(30, 110)(31, 155)(32, 150)(33, 146)(34, 112)(35, 147)(36, 153)(37, 114)(38, 160)(39, 151)(40, 116)(41, 161)(42, 117)(43, 162)(44, 118)(45, 164)(46, 133)(47, 136)(48, 120)(49, 138)(50, 125)(51, 170)(52, 122)(53, 139)(54, 169)(55, 124)(56, 167)(57, 171)(58, 126)(59, 173)(60, 135)(61, 128)(62, 130)(63, 132)(64, 177)(65, 178)(66, 179)(67, 140)(68, 163)(69, 154)(70, 142)(71, 184)(72, 144)(73, 159)(74, 182)(75, 185)(76, 148)(77, 183)(78, 156)(79, 157)(80, 158)(81, 186)(82, 180)(83, 181)(84, 172)(85, 165)(86, 191)(87, 166)(88, 190)(89, 192)(90, 168)(91, 176)(92, 174)(93, 175)(94, 187)(95, 188)(96, 189)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.868
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 34, 130)(26, 122, 32, 128)(27, 123, 37, 133)(29, 125, 35, 131)(39, 135, 49, 145)(40, 136, 50, 146)(41, 137, 51, 147)(42, 138, 52, 148)(43, 139, 48, 144)(44, 140, 53, 149)(45, 141, 54, 150)(46, 142, 55, 151)(47, 143, 56, 152)(57, 153, 65, 161)(58, 154, 66, 162)(59, 155, 67, 163)(60, 156, 68, 164)(61, 157, 69, 165)(62, 158, 70, 166)(63, 159, 71, 167)(64, 160, 72, 168)(73, 169, 81, 177)(74, 170, 82, 178)(75, 171, 83, 179)(76, 172, 84, 180)(77, 173, 85, 181)(78, 174, 86, 182)(79, 175, 87, 183)(80, 176, 88, 184)(89, 185, 96, 192)(90, 186, 94, 190)(91, 187, 95, 191)(92, 188, 93, 189)(193, 289, 195, 291, 200, 296, 196, 292)(194, 290, 197, 293, 203, 299, 198, 294)(199, 295, 205, 301, 216, 312, 206, 302)(201, 297, 208, 304, 221, 317, 209, 305)(202, 298, 210, 306, 224, 320, 211, 307)(204, 300, 213, 309, 229, 325, 214, 310)(207, 303, 218, 314, 235, 331, 219, 315)(212, 308, 226, 322, 240, 336, 227, 323)(215, 311, 231, 327, 220, 316, 232, 328)(217, 313, 233, 329, 222, 318, 234, 330)(223, 319, 236, 332, 228, 324, 237, 333)(225, 321, 238, 334, 230, 326, 239, 335)(241, 337, 249, 345, 243, 339, 250, 346)(242, 338, 251, 347, 244, 340, 252, 348)(245, 341, 253, 349, 247, 343, 254, 350)(246, 342, 255, 351, 248, 344, 256, 352)(257, 353, 265, 361, 259, 355, 266, 362)(258, 354, 267, 363, 260, 356, 268, 364)(261, 357, 269, 365, 263, 359, 270, 366)(262, 358, 271, 367, 264, 360, 272, 368)(273, 369, 281, 377, 275, 371, 282, 378)(274, 370, 283, 379, 276, 372, 284, 380)(277, 373, 285, 381, 279, 375, 286, 382)(278, 374, 287, 383, 280, 376, 288, 384)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 226)(25, 206)(26, 224)(27, 229)(28, 208)(29, 227)(30, 209)(31, 210)(32, 218)(33, 211)(34, 216)(35, 221)(36, 213)(37, 219)(38, 214)(39, 241)(40, 242)(41, 243)(42, 244)(43, 240)(44, 245)(45, 246)(46, 247)(47, 248)(48, 235)(49, 231)(50, 232)(51, 233)(52, 234)(53, 236)(54, 237)(55, 238)(56, 239)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 249)(66, 250)(67, 251)(68, 252)(69, 253)(70, 254)(71, 255)(72, 256)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 265)(82, 266)(83, 267)(84, 268)(85, 269)(86, 270)(87, 271)(88, 272)(89, 288)(90, 286)(91, 287)(92, 285)(93, 284)(94, 282)(95, 283)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.876
Graph:: bipartite
	v = 72 e = 192 f = 104
	degree seq :: [ 4^48, 8^24 ]

E9.874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|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, Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, Y2^2 * Y1^2 * Y2^-2 * Y1^-2, (Y2^3 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 21, 117, 11, 107)(5, 101, 13, 109, 18, 114, 7, 103)(8, 104, 19, 115, 34, 130, 15, 111)(10, 106, 23, 119, 33, 129, 25, 121)(12, 108, 16, 112, 35, 131, 28, 124)(14, 110, 31, 127, 36, 132, 29, 125)(17, 113, 37, 133, 27, 123, 39, 135)(20, 116, 43, 139, 22, 118, 41, 137)(24, 120, 47, 143, 59, 155, 44, 140)(26, 122, 40, 136, 30, 126, 42, 138)(32, 128, 49, 145, 55, 151, 51, 147)(38, 134, 56, 152, 50, 146, 54, 150)(45, 141, 53, 149, 46, 142, 58, 154)(48, 144, 60, 156, 69, 165, 61, 157)(52, 148, 57, 153, 70, 166, 65, 161)(62, 158, 75, 171, 63, 159, 74, 170)(64, 160, 77, 173, 90, 186, 78, 174)(66, 162, 72, 168, 67, 163, 71, 167)(68, 164, 82, 178, 86, 182, 73, 169)(76, 172, 89, 185, 79, 175, 84, 180)(80, 176, 92, 188, 94, 190, 93, 189)(81, 177, 85, 181, 83, 179, 87, 183)(88, 184, 95, 191, 91, 187, 96, 192)(193, 289, 195, 291, 202, 298, 216, 312, 240, 336, 256, 352, 272, 368, 260, 356, 244, 340, 224, 320, 206, 302, 197, 293)(194, 290, 199, 295, 209, 305, 230, 326, 249, 345, 265, 361, 280, 376, 268, 364, 252, 348, 236, 332, 212, 308, 200, 296)(196, 292, 204, 300, 219, 315, 241, 337, 257, 353, 273, 369, 283, 379, 269, 365, 253, 349, 237, 333, 214, 310, 201, 297)(198, 294, 207, 303, 225, 321, 245, 341, 261, 357, 276, 372, 286, 382, 277, 373, 262, 358, 246, 342, 228, 324, 208, 304)(203, 299, 218, 314, 227, 323, 223, 319, 243, 339, 259, 355, 275, 371, 284, 380, 270, 366, 254, 350, 238, 334, 215, 311)(205, 301, 221, 317, 242, 338, 258, 354, 274, 370, 285, 381, 271, 367, 255, 351, 239, 335, 217, 313, 226, 322, 222, 318)(210, 306, 232, 328, 213, 309, 235, 331, 251, 347, 267, 363, 282, 378, 287, 383, 278, 374, 263, 359, 247, 343, 229, 325)(211, 307, 233, 329, 250, 346, 266, 362, 281, 377, 288, 384, 279, 375, 264, 360, 248, 344, 231, 327, 220, 316, 234, 330)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 218)(12, 219)(13, 221)(14, 197)(15, 225)(16, 198)(17, 230)(18, 232)(19, 233)(20, 200)(21, 235)(22, 201)(23, 203)(24, 240)(25, 226)(26, 227)(27, 241)(28, 234)(29, 242)(30, 205)(31, 243)(32, 206)(33, 245)(34, 222)(35, 223)(36, 208)(37, 210)(38, 249)(39, 220)(40, 213)(41, 250)(42, 211)(43, 251)(44, 212)(45, 214)(46, 215)(47, 217)(48, 256)(49, 257)(50, 258)(51, 259)(52, 224)(53, 261)(54, 228)(55, 229)(56, 231)(57, 265)(58, 266)(59, 267)(60, 236)(61, 237)(62, 238)(63, 239)(64, 272)(65, 273)(66, 274)(67, 275)(68, 244)(69, 276)(70, 246)(71, 247)(72, 248)(73, 280)(74, 281)(75, 282)(76, 252)(77, 253)(78, 254)(79, 255)(80, 260)(81, 283)(82, 285)(83, 284)(84, 286)(85, 262)(86, 263)(87, 264)(88, 268)(89, 288)(90, 287)(91, 269)(92, 270)(93, 271)(94, 277)(95, 278)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E9.875
Graph:: bipartite
	v = 32 e = 192 f = 144
	degree seq :: [ 8^24, 24^8 ]

E9.875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3^-1 * Y2 * Y3^-3 * Y2 * Y3^-1 * Y2 * Y3 * Y2, (Y3^3 * Y2 * Y3)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 217, 313)(206, 302, 221, 317)(207, 303, 220, 316)(208, 304, 224, 320)(210, 306, 228, 324)(211, 307, 230, 326)(212, 308, 215, 311)(214, 310, 235, 331)(216, 312, 238, 334)(218, 314, 242, 338)(219, 315, 244, 340)(222, 318, 249, 345)(223, 319, 240, 336)(225, 321, 247, 343)(226, 322, 237, 333)(227, 323, 245, 341)(229, 325, 250, 346)(231, 327, 241, 337)(232, 328, 248, 344)(233, 329, 239, 335)(234, 330, 246, 342)(236, 332, 243, 339)(251, 347, 265, 361)(252, 348, 261, 357)(253, 349, 266, 362)(254, 350, 267, 363)(255, 351, 269, 365)(256, 352, 260, 356)(257, 353, 262, 358)(258, 354, 263, 359)(259, 355, 273, 369)(264, 360, 276, 372)(268, 364, 280, 376)(270, 366, 282, 378)(271, 367, 281, 377)(272, 368, 284, 380)(274, 370, 278, 374)(275, 371, 277, 373)(279, 375, 287, 383)(283, 379, 286, 382)(285, 381, 288, 384)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 215)(12, 218)(13, 219)(14, 198)(15, 223)(16, 199)(17, 226)(18, 229)(19, 231)(20, 201)(21, 233)(22, 202)(23, 237)(24, 203)(25, 240)(26, 243)(27, 245)(28, 205)(29, 247)(30, 206)(31, 238)(32, 249)(33, 208)(34, 252)(35, 209)(36, 244)(37, 255)(38, 246)(39, 256)(40, 212)(41, 257)(42, 213)(43, 258)(44, 214)(45, 224)(46, 235)(47, 216)(48, 261)(49, 217)(50, 230)(51, 264)(52, 232)(53, 265)(54, 220)(55, 266)(56, 221)(57, 267)(58, 222)(59, 225)(60, 234)(61, 227)(62, 228)(63, 272)(64, 273)(65, 274)(66, 275)(67, 236)(68, 239)(69, 248)(70, 241)(71, 242)(72, 279)(73, 280)(74, 281)(75, 282)(76, 250)(77, 251)(78, 253)(79, 254)(80, 259)(81, 285)(82, 284)(83, 283)(84, 260)(85, 262)(86, 263)(87, 268)(88, 288)(89, 287)(90, 286)(91, 269)(92, 270)(93, 271)(94, 276)(95, 277)(96, 278)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.874
Graph:: simple bipartite
	v = 144 e = 192 f = 32
	degree seq :: [ 2^96, 4^48 ]

E9.876 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^4, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-3 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3, Y3 * Y1^-4 * Y3^-1 * Y1^-4, Y1^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 45, 141, 68, 164, 67, 163, 44, 140, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 59, 155, 77, 173, 87, 183, 70, 166, 46, 142, 37, 133, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 53, 149, 43, 139, 66, 162, 83, 179, 85, 181, 69, 165, 58, 154, 30, 126, 14, 110)(9, 105, 19, 115, 38, 134, 64, 160, 81, 177, 90, 186, 72, 168, 48, 144, 24, 120, 47, 143, 40, 136, 20, 116)(12, 108, 25, 121, 49, 145, 42, 138, 21, 117, 41, 137, 65, 161, 82, 178, 84, 180, 76, 172, 52, 148, 26, 122)(16, 112, 33, 129, 50, 146, 29, 125, 56, 152, 71, 167, 88, 184, 94, 190, 91, 187, 80, 176, 62, 158, 34, 130)(17, 113, 35, 131, 51, 147, 74, 170, 86, 182, 95, 191, 92, 188, 78, 174, 60, 156, 39, 135, 55, 151, 28, 124)(32, 128, 54, 150, 73, 169, 63, 159, 36, 132, 57, 153, 75, 171, 89, 185, 96, 192, 93, 189, 79, 175, 61, 157)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 224)(16, 199)(17, 200)(18, 228)(19, 231)(20, 225)(21, 202)(22, 235)(23, 238)(24, 203)(25, 242)(26, 243)(27, 246)(28, 205)(29, 206)(30, 249)(31, 252)(32, 207)(33, 212)(34, 245)(35, 239)(36, 210)(37, 248)(38, 253)(39, 211)(40, 255)(41, 254)(42, 247)(43, 214)(44, 251)(45, 261)(46, 215)(47, 227)(48, 263)(49, 265)(50, 217)(51, 218)(52, 267)(53, 226)(54, 219)(55, 234)(56, 229)(57, 222)(58, 266)(59, 236)(60, 223)(61, 230)(62, 233)(63, 232)(64, 272)(65, 271)(66, 270)(67, 273)(68, 276)(69, 237)(70, 278)(71, 240)(72, 281)(73, 241)(74, 250)(75, 244)(76, 280)(77, 283)(78, 258)(79, 257)(80, 256)(81, 259)(82, 284)(83, 285)(84, 260)(85, 286)(86, 262)(87, 288)(88, 268)(89, 264)(90, 287)(91, 269)(92, 274)(93, 275)(94, 277)(95, 282)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8 ), ( 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 E9.873
Graph:: simple bipartite
	v = 104 e = 192 f = 72
	degree seq :: [ 2^96, 24^8 ]

E9.877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1, (Y2^-2 * Y1 * Y2^-2)^2, Y2^12 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 28, 124)(16, 112, 32, 128)(18, 114, 36, 132)(19, 115, 38, 134)(20, 116, 23, 119)(22, 118, 43, 139)(24, 120, 46, 142)(26, 122, 50, 146)(27, 123, 52, 148)(30, 126, 57, 153)(31, 127, 48, 144)(33, 129, 55, 151)(34, 130, 45, 141)(35, 131, 53, 149)(37, 133, 58, 154)(39, 135, 49, 145)(40, 136, 56, 152)(41, 137, 47, 143)(42, 138, 54, 150)(44, 140, 51, 147)(59, 155, 73, 169)(60, 156, 69, 165)(61, 157, 74, 170)(62, 158, 75, 171)(63, 159, 77, 173)(64, 160, 68, 164)(65, 161, 70, 166)(66, 162, 71, 167)(67, 163, 81, 177)(72, 168, 84, 180)(76, 172, 88, 184)(78, 174, 90, 186)(79, 175, 89, 185)(80, 176, 92, 188)(82, 178, 86, 182)(83, 179, 85, 181)(87, 183, 95, 191)(91, 187, 94, 190)(93, 189, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 229, 325, 255, 351, 272, 368, 259, 355, 236, 332, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 243, 339, 264, 360, 279, 375, 268, 364, 250, 346, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 223, 319, 238, 334, 235, 331, 258, 354, 275, 371, 283, 379, 269, 365, 251, 347, 225, 321, 208, 304)(201, 297, 211, 307, 231, 327, 256, 352, 273, 369, 285, 381, 271, 367, 254, 350, 228, 324, 244, 340, 232, 328, 212, 308)(203, 299, 215, 311, 237, 333, 224, 320, 249, 345, 267, 363, 282, 378, 286, 382, 276, 372, 260, 356, 239, 335, 216, 312)(205, 301, 219, 315, 245, 341, 265, 361, 280, 376, 288, 384, 278, 374, 263, 359, 242, 338, 230, 326, 246, 342, 220, 316)(209, 305, 226, 322, 252, 348, 234, 330, 213, 309, 233, 329, 257, 353, 274, 370, 284, 380, 270, 366, 253, 349, 227, 323)(217, 313, 240, 336, 261, 357, 248, 344, 221, 317, 247, 343, 266, 362, 281, 377, 287, 383, 277, 373, 262, 358, 241, 337)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 220)(16, 224)(17, 200)(18, 228)(19, 230)(20, 215)(21, 202)(22, 235)(23, 212)(24, 238)(25, 204)(26, 242)(27, 244)(28, 207)(29, 206)(30, 249)(31, 240)(32, 208)(33, 247)(34, 237)(35, 245)(36, 210)(37, 250)(38, 211)(39, 241)(40, 248)(41, 239)(42, 246)(43, 214)(44, 243)(45, 226)(46, 216)(47, 233)(48, 223)(49, 231)(50, 218)(51, 236)(52, 219)(53, 227)(54, 234)(55, 225)(56, 232)(57, 222)(58, 229)(59, 265)(60, 261)(61, 266)(62, 267)(63, 269)(64, 260)(65, 262)(66, 263)(67, 273)(68, 256)(69, 252)(70, 257)(71, 258)(72, 276)(73, 251)(74, 253)(75, 254)(76, 280)(77, 255)(78, 282)(79, 281)(80, 284)(81, 259)(82, 278)(83, 277)(84, 264)(85, 275)(86, 274)(87, 287)(88, 268)(89, 271)(90, 270)(91, 286)(92, 272)(93, 288)(94, 283)(95, 279)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 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 E9.878
Graph:: bipartite
	v = 56 e = 192 f = 120
	degree seq :: [ 4^48, 24^8 ]

E9.878 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1, (Y3^-3 * Y1)^2, (Y3 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 21, 117, 11, 107)(5, 101, 13, 109, 18, 114, 7, 103)(8, 104, 19, 115, 34, 130, 15, 111)(10, 106, 23, 119, 33, 129, 25, 121)(12, 108, 16, 112, 35, 131, 28, 124)(14, 110, 31, 127, 36, 132, 29, 125)(17, 113, 37, 133, 27, 123, 39, 135)(20, 116, 43, 139, 22, 118, 41, 137)(24, 120, 47, 143, 59, 155, 44, 140)(26, 122, 40, 136, 30, 126, 42, 138)(32, 128, 49, 145, 55, 151, 51, 147)(38, 134, 56, 152, 50, 146, 54, 150)(45, 141, 53, 149, 46, 142, 58, 154)(48, 144, 60, 156, 69, 165, 61, 157)(52, 148, 57, 153, 70, 166, 65, 161)(62, 158, 75, 171, 63, 159, 74, 170)(64, 160, 77, 173, 90, 186, 78, 174)(66, 162, 72, 168, 67, 163, 71, 167)(68, 164, 82, 178, 86, 182, 73, 169)(76, 172, 89, 185, 79, 175, 84, 180)(80, 176, 92, 188, 94, 190, 93, 189)(81, 177, 85, 181, 83, 179, 87, 183)(88, 184, 95, 191, 91, 187, 96, 192)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 218)(12, 219)(13, 221)(14, 197)(15, 225)(16, 198)(17, 230)(18, 232)(19, 233)(20, 200)(21, 235)(22, 201)(23, 203)(24, 240)(25, 226)(26, 227)(27, 241)(28, 234)(29, 242)(30, 205)(31, 243)(32, 206)(33, 245)(34, 222)(35, 223)(36, 208)(37, 210)(38, 249)(39, 220)(40, 213)(41, 250)(42, 211)(43, 251)(44, 212)(45, 214)(46, 215)(47, 217)(48, 256)(49, 257)(50, 258)(51, 259)(52, 224)(53, 261)(54, 228)(55, 229)(56, 231)(57, 265)(58, 266)(59, 267)(60, 236)(61, 237)(62, 238)(63, 239)(64, 272)(65, 273)(66, 274)(67, 275)(68, 244)(69, 276)(70, 246)(71, 247)(72, 248)(73, 280)(74, 281)(75, 282)(76, 252)(77, 253)(78, 254)(79, 255)(80, 260)(81, 283)(82, 285)(83, 284)(84, 286)(85, 262)(86, 263)(87, 264)(88, 268)(89, 288)(90, 287)(91, 269)(92, 270)(93, 271)(94, 277)(95, 278)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.877
Graph:: simple bipartite
	v = 120 e = 192 f = 56
	degree seq :: [ 2^96, 8^24 ]

E9.879 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^-2 * T2 * T1^3 * T2 * T1^-1, (T1^-1 * T2)^4, T1^12, (T2 * T1^-2)^4, (T1^-1 * T2 * T1 * T2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 41, 65, 64, 40, 22, 10, 4)(3, 7, 15, 24, 43, 68, 88, 85, 58, 36, 18, 8)(6, 13, 27, 42, 67, 90, 87, 63, 39, 21, 30, 14)(9, 19, 26, 12, 25, 44, 66, 89, 82, 62, 38, 20)(16, 32, 53, 69, 46, 72, 92, 70, 57, 35, 55, 33)(17, 34, 52, 31, 51, 79, 91, 78, 50, 76, 48, 28)(29, 49, 74, 47, 73, 61, 86, 60, 37, 59, 71, 45)(54, 77, 96, 81, 95, 75, 94, 84, 56, 83, 93, 80)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 35)(19, 37)(20, 32)(22, 36)(23, 42)(25, 45)(26, 46)(27, 47)(30, 50)(33, 54)(34, 56)(38, 61)(39, 59)(40, 62)(41, 66)(43, 69)(44, 70)(48, 75)(49, 77)(51, 80)(52, 67)(53, 81)(55, 82)(57, 83)(58, 76)(60, 84)(63, 79)(64, 87)(65, 88)(68, 91)(71, 93)(72, 94)(73, 95)(74, 89)(78, 96)(85, 92)(86, 90)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.880
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 24
	degree seq :: [ 12^8 ]

E9.880 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T2 * T1^-1 * T2 * T1)^3, (T2 * T1^-2)^4, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 52, 40)(29, 48, 73, 49)(30, 50, 74, 51)(32, 53, 75, 54)(33, 55, 78, 56)(34, 57, 47, 58)(42, 60, 76, 68)(43, 63, 77, 69)(45, 61, 79, 71)(46, 64, 80, 72)(65, 83, 90, 84)(66, 85, 91, 86)(67, 87, 70, 82)(81, 88, 93, 89)(92, 94, 96, 95)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 70)(48, 68)(49, 71)(50, 69)(51, 72)(53, 76)(54, 77)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(62, 84)(73, 85)(74, 86)(75, 88)(78, 89)(87, 92)(90, 94)(91, 95)(93, 96)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E9.879
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 48 f = 8
	degree seq :: [ 4^24 ]

E9.881 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^4, (T1 * T2^-1 * T1 * T2)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 65, 40)(25, 42, 68, 43)(28, 47, 73, 48)(30, 50, 74, 51)(31, 52, 75, 53)(33, 55, 78, 56)(36, 60, 83, 61)(38, 63, 84, 64)(41, 66, 49, 67)(44, 69, 86, 70)(46, 71, 87, 72)(54, 76, 62, 77)(57, 79, 89, 80)(59, 81, 90, 82)(85, 91, 95, 92)(88, 93, 96, 94)(97, 98)(99, 103)(100, 105)(101, 106)(102, 108)(104, 111)(107, 116)(109, 119)(110, 121)(112, 124)(113, 126)(114, 127)(115, 129)(117, 132)(118, 134)(120, 137)(122, 140)(123, 142)(125, 145)(128, 150)(130, 153)(131, 155)(133, 158)(135, 148)(136, 156)(138, 151)(139, 159)(141, 154)(143, 149)(144, 157)(146, 152)(147, 160)(161, 175)(162, 181)(163, 173)(164, 176)(165, 171)(166, 174)(167, 179)(168, 180)(169, 177)(170, 178)(172, 184)(182, 187)(183, 188)(185, 189)(186, 190)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E9.885
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 96 f = 8
	degree seq :: [ 2^48, 4^24 ]

E9.882 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2 * T1^-1 * T2^-4 * T1^-1 * T2, (T2^-1 * T1)^4, T2 * T1^-1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 51, 81, 96, 74, 43, 32, 14, 5)(2, 7, 17, 38, 25, 53, 83, 92, 66, 44, 20, 8)(4, 12, 27, 52, 62, 88, 85, 59, 31, 48, 22, 9)(6, 15, 33, 61, 39, 70, 95, 78, 47, 67, 36, 16)(11, 26, 54, 82, 94, 72, 58, 30, 13, 29, 50, 23)(18, 40, 71, 49, 79, 90, 73, 42, 19, 41, 69, 37)(21, 45, 75, 55, 28, 56, 84, 86, 80, 57, 77, 46)(34, 63, 89, 68, 93, 76, 91, 65, 35, 64, 87, 60)(97, 98, 102, 100)(99, 105, 117, 107)(101, 109, 114, 103)(104, 115, 130, 111)(106, 119, 145, 121)(108, 112, 131, 124)(110, 127, 153, 125)(113, 133, 164, 135)(116, 139, 168, 137)(118, 143, 172, 141)(120, 134, 157, 148)(122, 142, 159, 138)(123, 151, 178, 147)(126, 152, 161, 136)(128, 140, 163, 144)(129, 156, 182, 158)(132, 162, 186, 160)(146, 176, 183, 175)(149, 167, 187, 174)(150, 169, 188, 177)(154, 170, 184, 180)(155, 166, 185, 173)(165, 190, 171, 189)(179, 191, 181, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.886
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.883 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^-2 * T2 * T1^3 * T2 * T1^-1, T1^12, (T2 * T1^-2)^4, (T1^-1 * T2 * T1 * T2)^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, 31)(18, 35)(19, 37)(20, 32)(22, 36)(23, 42)(25, 45)(26, 46)(27, 47)(30, 50)(33, 54)(34, 56)(38, 61)(39, 59)(40, 62)(41, 66)(43, 69)(44, 70)(48, 75)(49, 77)(51, 80)(52, 67)(53, 81)(55, 82)(57, 83)(58, 76)(60, 84)(63, 79)(64, 87)(65, 88)(68, 91)(71, 93)(72, 94)(73, 95)(74, 89)(78, 96)(85, 92)(86, 90)(97, 98, 101, 107, 119, 137, 161, 160, 136, 118, 106, 100)(99, 103, 111, 120, 139, 164, 184, 181, 154, 132, 114, 104)(102, 109, 123, 138, 163, 186, 183, 159, 135, 117, 126, 110)(105, 115, 122, 108, 121, 140, 162, 185, 178, 158, 134, 116)(112, 128, 149, 165, 142, 168, 188, 166, 153, 131, 151, 129)(113, 130, 148, 127, 147, 175, 187, 174, 146, 172, 144, 124)(125, 145, 170, 143, 169, 157, 182, 156, 133, 155, 167, 141)(150, 173, 192, 177, 191, 171, 190, 180, 152, 179, 189, 176)
	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 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E9.884
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 2^48, 12^8 ]

E9.884 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^4, (T1 * T2^-1 * T1 * T2)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 4, 100)(2, 98, 5, 101, 11, 107, 6, 102)(7, 103, 13, 109, 24, 120, 14, 110)(9, 105, 16, 112, 29, 125, 17, 113)(10, 106, 18, 114, 32, 128, 19, 115)(12, 108, 21, 117, 37, 133, 22, 118)(15, 111, 26, 122, 45, 141, 27, 123)(20, 116, 34, 130, 58, 154, 35, 131)(23, 119, 39, 135, 65, 161, 40, 136)(25, 121, 42, 138, 68, 164, 43, 139)(28, 124, 47, 143, 73, 169, 48, 144)(30, 126, 50, 146, 74, 170, 51, 147)(31, 127, 52, 148, 75, 171, 53, 149)(33, 129, 55, 151, 78, 174, 56, 152)(36, 132, 60, 156, 83, 179, 61, 157)(38, 134, 63, 159, 84, 180, 64, 160)(41, 137, 66, 162, 49, 145, 67, 163)(44, 140, 69, 165, 86, 182, 70, 166)(46, 142, 71, 167, 87, 183, 72, 168)(54, 150, 76, 172, 62, 158, 77, 173)(57, 153, 79, 175, 89, 185, 80, 176)(59, 155, 81, 177, 90, 186, 82, 178)(85, 181, 91, 187, 95, 191, 92, 188)(88, 184, 93, 189, 96, 192, 94, 190)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 106)(6, 108)(7, 99)(8, 111)(9, 100)(10, 101)(11, 116)(12, 102)(13, 119)(14, 121)(15, 104)(16, 124)(17, 126)(18, 127)(19, 129)(20, 107)(21, 132)(22, 134)(23, 109)(24, 137)(25, 110)(26, 140)(27, 142)(28, 112)(29, 145)(30, 113)(31, 114)(32, 150)(33, 115)(34, 153)(35, 155)(36, 117)(37, 158)(38, 118)(39, 148)(40, 156)(41, 120)(42, 151)(43, 159)(44, 122)(45, 154)(46, 123)(47, 149)(48, 157)(49, 125)(50, 152)(51, 160)(52, 135)(53, 143)(54, 128)(55, 138)(56, 146)(57, 130)(58, 141)(59, 131)(60, 136)(61, 144)(62, 133)(63, 139)(64, 147)(65, 175)(66, 181)(67, 173)(68, 176)(69, 171)(70, 174)(71, 179)(72, 180)(73, 177)(74, 178)(75, 165)(76, 184)(77, 163)(78, 166)(79, 161)(80, 164)(81, 169)(82, 170)(83, 167)(84, 168)(85, 162)(86, 187)(87, 188)(88, 172)(89, 189)(90, 190)(91, 182)(92, 183)(93, 185)(94, 186)(95, 192)(96, 191)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.883
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 56
	degree seq :: [ 8^24 ]

E9.885 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2 * T1^-1 * T2^-4 * T1^-1 * T2, (T2^-1 * T1)^4, T2 * T1^-1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1^-1 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 24, 120, 51, 147, 81, 177, 96, 192, 74, 170, 43, 139, 32, 128, 14, 110, 5, 101)(2, 98, 7, 103, 17, 113, 38, 134, 25, 121, 53, 149, 83, 179, 92, 188, 66, 162, 44, 140, 20, 116, 8, 104)(4, 100, 12, 108, 27, 123, 52, 148, 62, 158, 88, 184, 85, 181, 59, 155, 31, 127, 48, 144, 22, 118, 9, 105)(6, 102, 15, 111, 33, 129, 61, 157, 39, 135, 70, 166, 95, 191, 78, 174, 47, 143, 67, 163, 36, 132, 16, 112)(11, 107, 26, 122, 54, 150, 82, 178, 94, 190, 72, 168, 58, 154, 30, 126, 13, 109, 29, 125, 50, 146, 23, 119)(18, 114, 40, 136, 71, 167, 49, 145, 79, 175, 90, 186, 73, 169, 42, 138, 19, 115, 41, 137, 69, 165, 37, 133)(21, 117, 45, 141, 75, 171, 55, 151, 28, 124, 56, 152, 84, 180, 86, 182, 80, 176, 57, 153, 77, 173, 46, 142)(34, 130, 63, 159, 89, 185, 68, 164, 93, 189, 76, 172, 91, 187, 65, 161, 35, 131, 64, 160, 87, 183, 60, 156)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 109)(6, 100)(7, 101)(8, 115)(9, 117)(10, 119)(11, 99)(12, 112)(13, 114)(14, 127)(15, 104)(16, 131)(17, 133)(18, 103)(19, 130)(20, 139)(21, 107)(22, 143)(23, 145)(24, 134)(25, 106)(26, 142)(27, 151)(28, 108)(29, 110)(30, 152)(31, 153)(32, 140)(33, 156)(34, 111)(35, 124)(36, 162)(37, 164)(38, 157)(39, 113)(40, 126)(41, 116)(42, 122)(43, 168)(44, 163)(45, 118)(46, 159)(47, 172)(48, 128)(49, 121)(50, 176)(51, 123)(52, 120)(53, 167)(54, 169)(55, 178)(56, 161)(57, 125)(58, 170)(59, 166)(60, 182)(61, 148)(62, 129)(63, 138)(64, 132)(65, 136)(66, 186)(67, 144)(68, 135)(69, 190)(70, 185)(71, 187)(72, 137)(73, 188)(74, 184)(75, 189)(76, 141)(77, 155)(78, 149)(79, 146)(80, 183)(81, 150)(82, 147)(83, 191)(84, 154)(85, 192)(86, 158)(87, 175)(88, 180)(89, 173)(90, 160)(91, 174)(92, 177)(93, 165)(94, 171)(95, 181)(96, 179)
	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 E9.881
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 72
	degree seq :: [ 24^8 ]

E9.886 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^-2 * T2 * T1^3 * T2 * T1^-1, T1^12, (T2 * T1^-2)^4, (T1^-1 * T2 * T1 * T2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 21, 117)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 29, 125)(15, 111, 31, 127)(18, 114, 35, 131)(19, 115, 37, 133)(20, 116, 32, 128)(22, 118, 36, 132)(23, 119, 42, 138)(25, 121, 45, 141)(26, 122, 46, 142)(27, 123, 47, 143)(30, 126, 50, 146)(33, 129, 54, 150)(34, 130, 56, 152)(38, 134, 61, 157)(39, 135, 59, 155)(40, 136, 62, 158)(41, 137, 66, 162)(43, 139, 69, 165)(44, 140, 70, 166)(48, 144, 75, 171)(49, 145, 77, 173)(51, 147, 80, 176)(52, 148, 67, 163)(53, 149, 81, 177)(55, 151, 82, 178)(57, 153, 83, 179)(58, 154, 76, 172)(60, 156, 84, 180)(63, 159, 79, 175)(64, 160, 87, 183)(65, 161, 88, 184)(68, 164, 91, 187)(71, 167, 93, 189)(72, 168, 94, 190)(73, 169, 95, 191)(74, 170, 89, 185)(78, 174, 96, 192)(85, 181, 92, 188)(86, 182, 90, 186)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 115)(10, 100)(11, 119)(12, 121)(13, 123)(14, 102)(15, 120)(16, 128)(17, 130)(18, 104)(19, 122)(20, 105)(21, 126)(22, 106)(23, 137)(24, 139)(25, 140)(26, 108)(27, 138)(28, 113)(29, 145)(30, 110)(31, 147)(32, 149)(33, 112)(34, 148)(35, 151)(36, 114)(37, 155)(38, 116)(39, 117)(40, 118)(41, 161)(42, 163)(43, 164)(44, 162)(45, 125)(46, 168)(47, 169)(48, 124)(49, 170)(50, 172)(51, 175)(52, 127)(53, 165)(54, 173)(55, 129)(56, 179)(57, 131)(58, 132)(59, 167)(60, 133)(61, 182)(62, 134)(63, 135)(64, 136)(65, 160)(66, 185)(67, 186)(68, 184)(69, 142)(70, 153)(71, 141)(72, 188)(73, 157)(74, 143)(75, 190)(76, 144)(77, 192)(78, 146)(79, 187)(80, 150)(81, 191)(82, 158)(83, 189)(84, 152)(85, 154)(86, 156)(87, 159)(88, 181)(89, 178)(90, 183)(91, 174)(92, 166)(93, 176)(94, 180)(95, 171)(96, 177)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.882
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.887 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|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)^4, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 46, 142)(29, 125, 49, 145)(32, 128, 54, 150)(34, 130, 57, 153)(35, 131, 59, 155)(37, 133, 62, 158)(39, 135, 52, 148)(40, 136, 60, 156)(42, 138, 55, 151)(43, 139, 63, 159)(45, 141, 58, 154)(47, 143, 53, 149)(48, 144, 61, 157)(50, 146, 56, 152)(51, 147, 64, 160)(65, 161, 79, 175)(66, 162, 85, 181)(67, 163, 77, 173)(68, 164, 80, 176)(69, 165, 75, 171)(70, 166, 78, 174)(71, 167, 83, 179)(72, 168, 84, 180)(73, 169, 81, 177)(74, 170, 82, 178)(76, 172, 88, 184)(86, 182, 91, 187)(87, 183, 92, 188)(89, 185, 93, 189)(90, 186, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 196, 292)(194, 290, 197, 293, 203, 299, 198, 294)(199, 295, 205, 301, 216, 312, 206, 302)(201, 297, 208, 304, 221, 317, 209, 305)(202, 298, 210, 306, 224, 320, 211, 307)(204, 300, 213, 309, 229, 325, 214, 310)(207, 303, 218, 314, 237, 333, 219, 315)(212, 308, 226, 322, 250, 346, 227, 323)(215, 311, 231, 327, 257, 353, 232, 328)(217, 313, 234, 330, 260, 356, 235, 331)(220, 316, 239, 335, 265, 361, 240, 336)(222, 318, 242, 338, 266, 362, 243, 339)(223, 319, 244, 340, 267, 363, 245, 341)(225, 321, 247, 343, 270, 366, 248, 344)(228, 324, 252, 348, 275, 371, 253, 349)(230, 326, 255, 351, 276, 372, 256, 352)(233, 329, 258, 354, 241, 337, 259, 355)(236, 332, 261, 357, 278, 374, 262, 358)(238, 334, 263, 359, 279, 375, 264, 360)(246, 342, 268, 364, 254, 350, 269, 365)(249, 345, 271, 367, 281, 377, 272, 368)(251, 347, 273, 369, 282, 378, 274, 370)(277, 373, 283, 379, 287, 383, 284, 380)(280, 376, 285, 381, 288, 384, 286, 382)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 233)(25, 206)(26, 236)(27, 238)(28, 208)(29, 241)(30, 209)(31, 210)(32, 246)(33, 211)(34, 249)(35, 251)(36, 213)(37, 254)(38, 214)(39, 244)(40, 252)(41, 216)(42, 247)(43, 255)(44, 218)(45, 250)(46, 219)(47, 245)(48, 253)(49, 221)(50, 248)(51, 256)(52, 231)(53, 239)(54, 224)(55, 234)(56, 242)(57, 226)(58, 237)(59, 227)(60, 232)(61, 240)(62, 229)(63, 235)(64, 243)(65, 271)(66, 277)(67, 269)(68, 272)(69, 267)(70, 270)(71, 275)(72, 276)(73, 273)(74, 274)(75, 261)(76, 280)(77, 259)(78, 262)(79, 257)(80, 260)(81, 265)(82, 266)(83, 263)(84, 264)(85, 258)(86, 283)(87, 284)(88, 268)(89, 285)(90, 286)(91, 278)(92, 279)(93, 281)(94, 282)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.890
Graph:: bipartite
	v = 72 e = 192 f = 104
	degree seq :: [ 4^48, 8^24 ]

E9.888 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2^2 * Y1^-1 * Y2^-4 * Y1^-1, (Y2 * Y1^-1)^4, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 21, 117, 11, 107)(5, 101, 13, 109, 18, 114, 7, 103)(8, 104, 19, 115, 34, 130, 15, 111)(10, 106, 23, 119, 49, 145, 25, 121)(12, 108, 16, 112, 35, 131, 28, 124)(14, 110, 31, 127, 57, 153, 29, 125)(17, 113, 37, 133, 68, 164, 39, 135)(20, 116, 43, 139, 72, 168, 41, 137)(22, 118, 47, 143, 76, 172, 45, 141)(24, 120, 38, 134, 61, 157, 52, 148)(26, 122, 46, 142, 63, 159, 42, 138)(27, 123, 55, 151, 82, 178, 51, 147)(30, 126, 56, 152, 65, 161, 40, 136)(32, 128, 44, 140, 67, 163, 48, 144)(33, 129, 60, 156, 86, 182, 62, 158)(36, 132, 66, 162, 90, 186, 64, 160)(50, 146, 80, 176, 87, 183, 79, 175)(53, 149, 71, 167, 91, 187, 78, 174)(54, 150, 73, 169, 92, 188, 81, 177)(58, 154, 74, 170, 88, 184, 84, 180)(59, 155, 70, 166, 89, 185, 77, 173)(69, 165, 94, 190, 75, 171, 93, 189)(83, 179, 95, 191, 85, 181, 96, 192)(193, 289, 195, 291, 202, 298, 216, 312, 243, 339, 273, 369, 288, 384, 266, 362, 235, 331, 224, 320, 206, 302, 197, 293)(194, 290, 199, 295, 209, 305, 230, 326, 217, 313, 245, 341, 275, 371, 284, 380, 258, 354, 236, 332, 212, 308, 200, 296)(196, 292, 204, 300, 219, 315, 244, 340, 254, 350, 280, 376, 277, 373, 251, 347, 223, 319, 240, 336, 214, 310, 201, 297)(198, 294, 207, 303, 225, 321, 253, 349, 231, 327, 262, 358, 287, 383, 270, 366, 239, 335, 259, 355, 228, 324, 208, 304)(203, 299, 218, 314, 246, 342, 274, 370, 286, 382, 264, 360, 250, 346, 222, 318, 205, 301, 221, 317, 242, 338, 215, 311)(210, 306, 232, 328, 263, 359, 241, 337, 271, 367, 282, 378, 265, 361, 234, 330, 211, 307, 233, 329, 261, 357, 229, 325)(213, 309, 237, 333, 267, 363, 247, 343, 220, 316, 248, 344, 276, 372, 278, 374, 272, 368, 249, 345, 269, 365, 238, 334)(226, 322, 255, 351, 281, 377, 260, 356, 285, 381, 268, 364, 283, 379, 257, 353, 227, 323, 256, 352, 279, 375, 252, 348)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 218)(12, 219)(13, 221)(14, 197)(15, 225)(16, 198)(17, 230)(18, 232)(19, 233)(20, 200)(21, 237)(22, 201)(23, 203)(24, 243)(25, 245)(26, 246)(27, 244)(28, 248)(29, 242)(30, 205)(31, 240)(32, 206)(33, 253)(34, 255)(35, 256)(36, 208)(37, 210)(38, 217)(39, 262)(40, 263)(41, 261)(42, 211)(43, 224)(44, 212)(45, 267)(46, 213)(47, 259)(48, 214)(49, 271)(50, 215)(51, 273)(52, 254)(53, 275)(54, 274)(55, 220)(56, 276)(57, 269)(58, 222)(59, 223)(60, 226)(61, 231)(62, 280)(63, 281)(64, 279)(65, 227)(66, 236)(67, 228)(68, 285)(69, 229)(70, 287)(71, 241)(72, 250)(73, 234)(74, 235)(75, 247)(76, 283)(77, 238)(78, 239)(79, 282)(80, 249)(81, 288)(82, 286)(83, 284)(84, 278)(85, 251)(86, 272)(87, 252)(88, 277)(89, 260)(90, 265)(91, 257)(92, 258)(93, 268)(94, 264)(95, 270)(96, 266)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.889
Graph:: bipartite
	v = 32 e = 192 f = 144
	degree seq :: [ 8^24, 24^8 ]

E9.889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-2, (Y3^2 * Y2)^4, (Y3 * Y2 * Y3^-1 * Y2)^3, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 217, 313)(206, 302, 221, 317)(207, 303, 220, 316)(208, 304, 224, 320)(210, 306, 218, 314)(211, 307, 229, 325)(212, 308, 215, 311)(214, 310, 222, 318)(216, 312, 234, 330)(219, 315, 239, 335)(223, 319, 243, 339)(225, 321, 247, 343)(226, 322, 246, 342)(227, 323, 249, 345)(228, 324, 244, 340)(230, 326, 253, 349)(231, 327, 251, 347)(232, 328, 254, 350)(233, 329, 257, 353)(235, 331, 261, 357)(236, 332, 260, 356)(237, 333, 263, 359)(238, 334, 258, 354)(240, 336, 267, 363)(241, 337, 265, 361)(242, 338, 268, 364)(245, 341, 259, 355)(248, 344, 269, 365)(250, 346, 275, 371)(252, 348, 266, 362)(255, 351, 262, 358)(256, 352, 279, 375)(264, 360, 284, 380)(270, 366, 288, 384)(271, 367, 280, 376)(272, 368, 283, 379)(273, 369, 282, 378)(274, 370, 281, 377)(276, 372, 287, 383)(277, 373, 286, 382)(278, 374, 285, 381)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 215)(12, 218)(13, 219)(14, 198)(15, 223)(16, 199)(17, 226)(18, 228)(19, 227)(20, 201)(21, 225)(22, 202)(23, 233)(24, 203)(25, 236)(26, 238)(27, 237)(28, 205)(29, 235)(30, 206)(31, 244)(32, 245)(33, 208)(34, 248)(35, 209)(36, 250)(37, 251)(38, 212)(39, 213)(40, 214)(41, 258)(42, 259)(43, 216)(44, 262)(45, 217)(46, 264)(47, 265)(48, 220)(49, 221)(50, 222)(51, 271)(52, 263)(53, 272)(54, 224)(55, 268)(56, 275)(57, 276)(58, 277)(59, 273)(60, 229)(61, 278)(62, 230)(63, 231)(64, 232)(65, 280)(66, 249)(67, 281)(68, 234)(69, 254)(70, 284)(71, 285)(72, 286)(73, 282)(74, 239)(75, 287)(76, 240)(77, 241)(78, 242)(79, 253)(80, 243)(81, 246)(82, 247)(83, 283)(84, 288)(85, 256)(86, 252)(87, 255)(88, 267)(89, 257)(90, 260)(91, 261)(92, 274)(93, 279)(94, 270)(95, 266)(96, 269)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.888
Graph:: simple bipartite
	v = 144 e = 192 f = 32
	degree seq :: [ 2^96, 4^48 ]

E9.890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^3 * Y3^-1 * Y1^-3, (Y3^-1 * Y1^-1)^4, Y1^12, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 41, 137, 65, 161, 64, 160, 40, 136, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 24, 120, 43, 139, 68, 164, 88, 184, 85, 181, 58, 154, 36, 132, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 42, 138, 67, 163, 90, 186, 87, 183, 63, 159, 39, 135, 21, 117, 30, 126, 14, 110)(9, 105, 19, 115, 26, 122, 12, 108, 25, 121, 44, 140, 66, 162, 89, 185, 82, 178, 62, 158, 38, 134, 20, 116)(16, 112, 32, 128, 53, 149, 69, 165, 46, 142, 72, 168, 92, 188, 70, 166, 57, 153, 35, 131, 55, 151, 33, 129)(17, 113, 34, 130, 52, 148, 31, 127, 51, 147, 79, 175, 91, 187, 78, 174, 50, 146, 76, 172, 48, 144, 28, 124)(29, 125, 49, 145, 74, 170, 47, 143, 73, 169, 61, 157, 86, 182, 60, 156, 37, 133, 59, 155, 71, 167, 45, 141)(54, 150, 77, 173, 96, 192, 81, 177, 95, 191, 75, 171, 94, 190, 84, 180, 56, 152, 83, 179, 93, 189, 80, 176)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 223)(16, 199)(17, 200)(18, 227)(19, 229)(20, 224)(21, 202)(22, 228)(23, 234)(24, 203)(25, 237)(26, 238)(27, 239)(28, 205)(29, 206)(30, 242)(31, 207)(32, 212)(33, 246)(34, 248)(35, 210)(36, 214)(37, 211)(38, 253)(39, 251)(40, 254)(41, 258)(42, 215)(43, 261)(44, 262)(45, 217)(46, 218)(47, 219)(48, 267)(49, 269)(50, 222)(51, 272)(52, 259)(53, 273)(54, 225)(55, 274)(56, 226)(57, 275)(58, 268)(59, 231)(60, 276)(61, 230)(62, 232)(63, 271)(64, 279)(65, 280)(66, 233)(67, 244)(68, 283)(69, 235)(70, 236)(71, 285)(72, 286)(73, 287)(74, 281)(75, 240)(76, 250)(77, 241)(78, 288)(79, 255)(80, 243)(81, 245)(82, 247)(83, 249)(84, 252)(85, 284)(86, 282)(87, 256)(88, 257)(89, 266)(90, 278)(91, 260)(92, 277)(93, 263)(94, 264)(95, 265)(96, 270)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 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 E9.887
Graph:: simple bipartite
	v = 104 e = 192 f = 72
	degree seq :: [ 2^96, 24^8 ]

E9.891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2 * R * Y2^-4 * R * Y2^-2 * Y1, Y2^12, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y2^-2 * Y1)^4 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 28, 124)(16, 112, 32, 128)(18, 114, 26, 122)(19, 115, 37, 133)(20, 116, 23, 119)(22, 118, 30, 126)(24, 120, 42, 138)(27, 123, 47, 143)(31, 127, 51, 147)(33, 129, 55, 151)(34, 130, 54, 150)(35, 131, 57, 153)(36, 132, 52, 148)(38, 134, 61, 157)(39, 135, 59, 155)(40, 136, 62, 158)(41, 137, 65, 161)(43, 139, 69, 165)(44, 140, 68, 164)(45, 141, 71, 167)(46, 142, 66, 162)(48, 144, 75, 171)(49, 145, 73, 169)(50, 146, 76, 172)(53, 149, 67, 163)(56, 152, 77, 173)(58, 154, 83, 179)(60, 156, 74, 170)(63, 159, 70, 166)(64, 160, 87, 183)(72, 168, 92, 188)(78, 174, 96, 192)(79, 175, 88, 184)(80, 176, 91, 187)(81, 177, 90, 186)(82, 178, 89, 185)(84, 180, 95, 191)(85, 181, 94, 190)(86, 182, 93, 189)(193, 289, 195, 291, 200, 296, 210, 306, 228, 324, 250, 346, 277, 373, 256, 352, 232, 328, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 238, 334, 264, 360, 286, 382, 270, 366, 242, 338, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 223, 319, 244, 340, 263, 359, 285, 381, 279, 375, 255, 351, 231, 327, 213, 309, 225, 321, 208, 304)(201, 297, 211, 307, 227, 323, 209, 305, 226, 322, 248, 344, 275, 371, 283, 379, 261, 357, 254, 350, 230, 326, 212, 308)(203, 299, 215, 311, 233, 329, 258, 354, 249, 345, 276, 372, 288, 384, 269, 365, 241, 337, 221, 317, 235, 331, 216, 312)(205, 301, 219, 315, 237, 333, 217, 313, 236, 332, 262, 358, 284, 380, 274, 370, 247, 343, 268, 364, 240, 336, 220, 316)(224, 320, 245, 341, 272, 368, 243, 339, 271, 367, 253, 349, 278, 374, 252, 348, 229, 325, 251, 347, 273, 369, 246, 342)(234, 330, 259, 355, 281, 377, 257, 353, 280, 376, 267, 363, 287, 383, 266, 362, 239, 335, 265, 361, 282, 378, 260, 356)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 220)(16, 224)(17, 200)(18, 218)(19, 229)(20, 215)(21, 202)(22, 222)(23, 212)(24, 234)(25, 204)(26, 210)(27, 239)(28, 207)(29, 206)(30, 214)(31, 243)(32, 208)(33, 247)(34, 246)(35, 249)(36, 244)(37, 211)(38, 253)(39, 251)(40, 254)(41, 257)(42, 216)(43, 261)(44, 260)(45, 263)(46, 258)(47, 219)(48, 267)(49, 265)(50, 268)(51, 223)(52, 228)(53, 259)(54, 226)(55, 225)(56, 269)(57, 227)(58, 275)(59, 231)(60, 266)(61, 230)(62, 232)(63, 262)(64, 279)(65, 233)(66, 238)(67, 245)(68, 236)(69, 235)(70, 255)(71, 237)(72, 284)(73, 241)(74, 252)(75, 240)(76, 242)(77, 248)(78, 288)(79, 280)(80, 283)(81, 282)(82, 281)(83, 250)(84, 287)(85, 286)(86, 285)(87, 256)(88, 271)(89, 274)(90, 273)(91, 272)(92, 264)(93, 278)(94, 277)(95, 276)(96, 270)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 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 E9.892
Graph:: bipartite
	v = 56 e = 192 f = 120
	degree seq :: [ 4^48, 24^8 ]

E9.892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-4 * Y1^-1 * Y3, (Y3^-1 * Y1)^4, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-3 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 21, 117, 11, 107)(5, 101, 13, 109, 18, 114, 7, 103)(8, 104, 19, 115, 34, 130, 15, 111)(10, 106, 23, 119, 49, 145, 25, 121)(12, 108, 16, 112, 35, 131, 28, 124)(14, 110, 31, 127, 57, 153, 29, 125)(17, 113, 37, 133, 68, 164, 39, 135)(20, 116, 43, 139, 72, 168, 41, 137)(22, 118, 47, 143, 76, 172, 45, 141)(24, 120, 38, 134, 61, 157, 52, 148)(26, 122, 46, 142, 63, 159, 42, 138)(27, 123, 55, 151, 82, 178, 51, 147)(30, 126, 56, 152, 65, 161, 40, 136)(32, 128, 44, 140, 67, 163, 48, 144)(33, 129, 60, 156, 86, 182, 62, 158)(36, 132, 66, 162, 90, 186, 64, 160)(50, 146, 80, 176, 87, 183, 79, 175)(53, 149, 71, 167, 91, 187, 78, 174)(54, 150, 73, 169, 92, 188, 81, 177)(58, 154, 74, 170, 88, 184, 84, 180)(59, 155, 70, 166, 89, 185, 77, 173)(69, 165, 94, 190, 75, 171, 93, 189)(83, 179, 95, 191, 85, 181, 96, 192)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 218)(12, 219)(13, 221)(14, 197)(15, 225)(16, 198)(17, 230)(18, 232)(19, 233)(20, 200)(21, 237)(22, 201)(23, 203)(24, 243)(25, 245)(26, 246)(27, 244)(28, 248)(29, 242)(30, 205)(31, 240)(32, 206)(33, 253)(34, 255)(35, 256)(36, 208)(37, 210)(38, 217)(39, 262)(40, 263)(41, 261)(42, 211)(43, 224)(44, 212)(45, 267)(46, 213)(47, 259)(48, 214)(49, 271)(50, 215)(51, 273)(52, 254)(53, 275)(54, 274)(55, 220)(56, 276)(57, 269)(58, 222)(59, 223)(60, 226)(61, 231)(62, 280)(63, 281)(64, 279)(65, 227)(66, 236)(67, 228)(68, 285)(69, 229)(70, 287)(71, 241)(72, 250)(73, 234)(74, 235)(75, 247)(76, 283)(77, 238)(78, 239)(79, 282)(80, 249)(81, 288)(82, 286)(83, 284)(84, 278)(85, 251)(86, 272)(87, 252)(88, 277)(89, 260)(90, 265)(91, 257)(92, 258)(93, 268)(94, 264)(95, 270)(96, 266)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.891
Graph:: simple bipartite
	v = 120 e = 192 f = 56
	degree seq :: [ 2^96, 8^24 ]

E9.893 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-2 * T2 * T1^-1)^2, (T1^-1 * T2)^4, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 41, 61, 60, 40, 22, 10, 4)(3, 7, 15, 31, 51, 71, 79, 65, 43, 24, 18, 8)(6, 13, 27, 21, 39, 59, 78, 82, 63, 42, 30, 14)(9, 19, 37, 57, 76, 80, 62, 46, 26, 12, 25, 20)(16, 33, 53, 36, 45, 67, 84, 91, 88, 72, 55, 34)(17, 35, 50, 64, 83, 93, 87, 73, 52, 32, 48, 28)(29, 49, 68, 81, 92, 90, 77, 58, 38, 47, 66, 44)(54, 75, 89, 95, 96, 94, 86, 70, 56, 74, 85, 69)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 38)(20, 33)(22, 31)(23, 42)(25, 44)(26, 45)(27, 47)(30, 50)(34, 54)(35, 56)(37, 55)(39, 52)(40, 57)(41, 62)(43, 64)(46, 68)(48, 69)(49, 70)(51, 72)(53, 74)(58, 75)(59, 77)(60, 78)(61, 79)(63, 81)(65, 84)(66, 85)(67, 86)(71, 87)(73, 89)(76, 90)(80, 91)(82, 93)(83, 94)(88, 95)(92, 96)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.894
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 24
	degree seq :: [ 12^8 ]

E9.894 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 33, 25)(15, 26, 32, 27)(21, 35, 30, 36)(22, 37, 29, 38)(23, 39, 44, 34)(40, 49, 43, 50)(41, 51, 42, 52)(45, 53, 48, 54)(46, 55, 47, 56)(57, 65, 60, 66)(58, 67, 59, 68)(61, 69, 64, 70)(62, 71, 63, 72)(73, 81, 76, 82)(74, 83, 75, 84)(77, 85, 80, 86)(78, 87, 79, 88)(89, 93, 92, 96)(90, 95, 91, 94)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 40)(25, 41)(26, 42)(27, 43)(28, 39)(31, 44)(35, 45)(36, 46)(37, 47)(38, 48)(49, 57)(50, 58)(51, 59)(52, 60)(53, 61)(54, 62)(55, 63)(56, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70, 78)(71, 79)(72, 80)(81, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(87, 95)(88, 96)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E9.893
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 48 f = 8
	degree seq :: [ 4^24 ]

E9.895 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, (T2 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 43, 27)(20, 34, 48, 35)(23, 39, 30, 40)(25, 41, 28, 42)(31, 44, 38, 45)(33, 46, 36, 47)(49, 57, 52, 58)(50, 59, 51, 60)(53, 61, 56, 62)(54, 63, 55, 64)(65, 73, 68, 74)(66, 75, 67, 76)(69, 77, 72, 78)(70, 79, 71, 80)(81, 89, 84, 90)(82, 91, 83, 92)(85, 93, 88, 94)(86, 95, 87, 96)(97, 98)(99, 103)(100, 105)(101, 106)(102, 108)(104, 111)(107, 116)(109, 119)(110, 121)(112, 124)(113, 126)(114, 127)(115, 129)(117, 132)(118, 134)(120, 131)(122, 133)(123, 128)(125, 130)(135, 145)(136, 146)(137, 147)(138, 148)(139, 144)(140, 149)(141, 150)(142, 151)(143, 152)(153, 161)(154, 162)(155, 163)(156, 164)(157, 165)(158, 166)(159, 167)(160, 168)(169, 177)(170, 178)(171, 179)(172, 180)(173, 181)(174, 182)(175, 183)(176, 184)(185, 189)(186, 192)(187, 191)(188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E9.899
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 96 f = 8
	degree seq :: [ 2^48, 4^24 ]

E9.896 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2 * T1)^2, (F * T1)^2, T1^4, (T2^-2 * T1)^2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 43, 60, 76, 64, 47, 29, 14, 5)(2, 7, 17, 35, 54, 70, 85, 72, 56, 38, 20, 8)(4, 12, 26, 45, 62, 78, 88, 74, 58, 41, 22, 9)(6, 15, 30, 49, 66, 81, 92, 83, 68, 52, 33, 16)(11, 25, 13, 28, 46, 63, 79, 89, 75, 59, 42, 23)(18, 36, 19, 37, 55, 71, 86, 94, 84, 69, 53, 34)(21, 39, 57, 73, 87, 95, 90, 77, 61, 44, 27, 40)(31, 50, 32, 51, 67, 82, 93, 96, 91, 80, 65, 48)(97, 98, 102, 100)(99, 105, 117, 107)(101, 109, 114, 103)(104, 115, 127, 111)(106, 119, 133, 116)(108, 112, 128, 123)(110, 122, 140, 124)(113, 130, 147, 129)(118, 126, 144, 135)(120, 134, 145, 137)(121, 136, 146, 132)(125, 131, 148, 141)(138, 153, 161, 151)(139, 154, 169, 155)(142, 157, 163, 149)(143, 159, 165, 150)(152, 167, 176, 162)(156, 171, 182, 168)(158, 164, 178, 173)(160, 174, 186, 175)(166, 180, 189, 179)(170, 177, 187, 183)(172, 181, 188, 184)(185, 191, 192, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.900
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 4^24, 12^8 ]

E9.897 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^-2 * T2 * T1^-1)^2, T1^12 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 38)(20, 33)(22, 31)(23, 42)(25, 44)(26, 45)(27, 47)(30, 50)(34, 54)(35, 56)(37, 55)(39, 52)(40, 57)(41, 62)(43, 64)(46, 68)(48, 69)(49, 70)(51, 72)(53, 74)(58, 75)(59, 77)(60, 78)(61, 79)(63, 81)(65, 84)(66, 85)(67, 86)(71, 87)(73, 89)(76, 90)(80, 91)(82, 93)(83, 94)(88, 95)(92, 96)(97, 98, 101, 107, 119, 137, 157, 156, 136, 118, 106, 100)(99, 103, 111, 127, 147, 167, 175, 161, 139, 120, 114, 104)(102, 109, 123, 117, 135, 155, 174, 178, 159, 138, 126, 110)(105, 115, 133, 153, 172, 176, 158, 142, 122, 108, 121, 116)(112, 129, 149, 132, 141, 163, 180, 187, 184, 168, 151, 130)(113, 131, 146, 160, 179, 189, 183, 169, 148, 128, 144, 124)(125, 145, 164, 177, 188, 186, 173, 154, 134, 143, 162, 140)(150, 171, 185, 191, 192, 190, 182, 166, 152, 170, 181, 165)
	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 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E9.898
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 24
	degree seq :: [ 2^48, 12^8 ]

E9.898 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, (T2 * T1)^12 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 4, 100)(2, 98, 5, 101, 11, 107, 6, 102)(7, 103, 13, 109, 24, 120, 14, 110)(9, 105, 16, 112, 29, 125, 17, 113)(10, 106, 18, 114, 32, 128, 19, 115)(12, 108, 21, 117, 37, 133, 22, 118)(15, 111, 26, 122, 43, 139, 27, 123)(20, 116, 34, 130, 48, 144, 35, 131)(23, 119, 39, 135, 30, 126, 40, 136)(25, 121, 41, 137, 28, 124, 42, 138)(31, 127, 44, 140, 38, 134, 45, 141)(33, 129, 46, 142, 36, 132, 47, 143)(49, 145, 57, 153, 52, 148, 58, 154)(50, 146, 59, 155, 51, 147, 60, 156)(53, 149, 61, 157, 56, 152, 62, 158)(54, 150, 63, 159, 55, 151, 64, 160)(65, 161, 73, 169, 68, 164, 74, 170)(66, 162, 75, 171, 67, 163, 76, 172)(69, 165, 77, 173, 72, 168, 78, 174)(70, 166, 79, 175, 71, 167, 80, 176)(81, 177, 89, 185, 84, 180, 90, 186)(82, 178, 91, 187, 83, 179, 92, 188)(85, 181, 93, 189, 88, 184, 94, 190)(86, 182, 95, 191, 87, 183, 96, 192)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 106)(6, 108)(7, 99)(8, 111)(9, 100)(10, 101)(11, 116)(12, 102)(13, 119)(14, 121)(15, 104)(16, 124)(17, 126)(18, 127)(19, 129)(20, 107)(21, 132)(22, 134)(23, 109)(24, 131)(25, 110)(26, 133)(27, 128)(28, 112)(29, 130)(30, 113)(31, 114)(32, 123)(33, 115)(34, 125)(35, 120)(36, 117)(37, 122)(38, 118)(39, 145)(40, 146)(41, 147)(42, 148)(43, 144)(44, 149)(45, 150)(46, 151)(47, 152)(48, 139)(49, 135)(50, 136)(51, 137)(52, 138)(53, 140)(54, 141)(55, 142)(56, 143)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)(89, 189)(90, 192)(91, 191)(92, 190)(93, 185)(94, 188)(95, 187)(96, 186)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.897
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 56
	degree seq :: [ 8^24 ]

E9.899 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2 * T1)^2, (F * T1)^2, T1^4, (T2^-2 * T1)^2, T2^12 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 24, 120, 43, 139, 60, 156, 76, 172, 64, 160, 47, 143, 29, 125, 14, 110, 5, 101)(2, 98, 7, 103, 17, 113, 35, 131, 54, 150, 70, 166, 85, 181, 72, 168, 56, 152, 38, 134, 20, 116, 8, 104)(4, 100, 12, 108, 26, 122, 45, 141, 62, 158, 78, 174, 88, 184, 74, 170, 58, 154, 41, 137, 22, 118, 9, 105)(6, 102, 15, 111, 30, 126, 49, 145, 66, 162, 81, 177, 92, 188, 83, 179, 68, 164, 52, 148, 33, 129, 16, 112)(11, 107, 25, 121, 13, 109, 28, 124, 46, 142, 63, 159, 79, 175, 89, 185, 75, 171, 59, 155, 42, 138, 23, 119)(18, 114, 36, 132, 19, 115, 37, 133, 55, 151, 71, 167, 86, 182, 94, 190, 84, 180, 69, 165, 53, 149, 34, 130)(21, 117, 39, 135, 57, 153, 73, 169, 87, 183, 95, 191, 90, 186, 77, 173, 61, 157, 44, 140, 27, 123, 40, 136)(31, 127, 50, 146, 32, 128, 51, 147, 67, 163, 82, 178, 93, 189, 96, 192, 91, 187, 80, 176, 65, 161, 48, 144)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 109)(6, 100)(7, 101)(8, 115)(9, 117)(10, 119)(11, 99)(12, 112)(13, 114)(14, 122)(15, 104)(16, 128)(17, 130)(18, 103)(19, 127)(20, 106)(21, 107)(22, 126)(23, 133)(24, 134)(25, 136)(26, 140)(27, 108)(28, 110)(29, 131)(30, 144)(31, 111)(32, 123)(33, 113)(34, 147)(35, 148)(36, 121)(37, 116)(38, 145)(39, 118)(40, 146)(41, 120)(42, 153)(43, 154)(44, 124)(45, 125)(46, 157)(47, 159)(48, 135)(49, 137)(50, 132)(51, 129)(52, 141)(53, 142)(54, 143)(55, 138)(56, 167)(57, 161)(58, 169)(59, 139)(60, 171)(61, 163)(62, 164)(63, 165)(64, 174)(65, 151)(66, 152)(67, 149)(68, 178)(69, 150)(70, 180)(71, 176)(72, 156)(73, 155)(74, 177)(75, 182)(76, 181)(77, 158)(78, 186)(79, 160)(80, 162)(81, 187)(82, 173)(83, 166)(84, 189)(85, 188)(86, 168)(87, 170)(88, 172)(89, 191)(90, 175)(91, 183)(92, 184)(93, 179)(94, 185)(95, 192)(96, 190)
	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 E9.895
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 72
	degree seq :: [ 24^8 ]

E9.900 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^-2 * T2 * T1^-1)^2, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 21, 117)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 29, 125)(15, 111, 32, 128)(18, 114, 36, 132)(19, 115, 38, 134)(20, 116, 33, 129)(22, 118, 31, 127)(23, 119, 42, 138)(25, 121, 44, 140)(26, 122, 45, 141)(27, 123, 47, 143)(30, 126, 50, 146)(34, 130, 54, 150)(35, 131, 56, 152)(37, 133, 55, 151)(39, 135, 52, 148)(40, 136, 57, 153)(41, 137, 62, 158)(43, 139, 64, 160)(46, 142, 68, 164)(48, 144, 69, 165)(49, 145, 70, 166)(51, 147, 72, 168)(53, 149, 74, 170)(58, 154, 75, 171)(59, 155, 77, 173)(60, 156, 78, 174)(61, 157, 79, 175)(63, 159, 81, 177)(65, 161, 84, 180)(66, 162, 85, 181)(67, 163, 86, 182)(71, 167, 87, 183)(73, 169, 89, 185)(76, 172, 90, 186)(80, 176, 91, 187)(82, 178, 93, 189)(83, 179, 94, 190)(88, 184, 95, 191)(92, 188, 96, 192)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 115)(10, 100)(11, 119)(12, 121)(13, 123)(14, 102)(15, 127)(16, 129)(17, 131)(18, 104)(19, 133)(20, 105)(21, 135)(22, 106)(23, 137)(24, 114)(25, 116)(26, 108)(27, 117)(28, 113)(29, 145)(30, 110)(31, 147)(32, 144)(33, 149)(34, 112)(35, 146)(36, 141)(37, 153)(38, 143)(39, 155)(40, 118)(41, 157)(42, 126)(43, 120)(44, 125)(45, 163)(46, 122)(47, 162)(48, 124)(49, 164)(50, 160)(51, 167)(52, 128)(53, 132)(54, 171)(55, 130)(56, 170)(57, 172)(58, 134)(59, 174)(60, 136)(61, 156)(62, 142)(63, 138)(64, 179)(65, 139)(66, 140)(67, 180)(68, 177)(69, 150)(70, 152)(71, 175)(72, 151)(73, 148)(74, 181)(75, 185)(76, 176)(77, 154)(78, 178)(79, 161)(80, 158)(81, 188)(82, 159)(83, 189)(84, 187)(85, 165)(86, 166)(87, 169)(88, 168)(89, 191)(90, 173)(91, 184)(92, 186)(93, 183)(94, 182)(95, 192)(96, 190)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.896
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.901 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 35, 131)(26, 122, 37, 133)(27, 123, 32, 128)(29, 125, 34, 130)(39, 135, 49, 145)(40, 136, 50, 146)(41, 137, 51, 147)(42, 138, 52, 148)(43, 139, 48, 144)(44, 140, 53, 149)(45, 141, 54, 150)(46, 142, 55, 151)(47, 143, 56, 152)(57, 153, 65, 161)(58, 154, 66, 162)(59, 155, 67, 163)(60, 156, 68, 164)(61, 157, 69, 165)(62, 158, 70, 166)(63, 159, 71, 167)(64, 160, 72, 168)(73, 169, 81, 177)(74, 170, 82, 178)(75, 171, 83, 179)(76, 172, 84, 180)(77, 173, 85, 181)(78, 174, 86, 182)(79, 175, 87, 183)(80, 176, 88, 184)(89, 185, 93, 189)(90, 186, 96, 192)(91, 187, 95, 191)(92, 188, 94, 190)(193, 289, 195, 291, 200, 296, 196, 292)(194, 290, 197, 293, 203, 299, 198, 294)(199, 295, 205, 301, 216, 312, 206, 302)(201, 297, 208, 304, 221, 317, 209, 305)(202, 298, 210, 306, 224, 320, 211, 307)(204, 300, 213, 309, 229, 325, 214, 310)(207, 303, 218, 314, 235, 331, 219, 315)(212, 308, 226, 322, 240, 336, 227, 323)(215, 311, 231, 327, 222, 318, 232, 328)(217, 313, 233, 329, 220, 316, 234, 330)(223, 319, 236, 332, 230, 326, 237, 333)(225, 321, 238, 334, 228, 324, 239, 335)(241, 337, 249, 345, 244, 340, 250, 346)(242, 338, 251, 347, 243, 339, 252, 348)(245, 341, 253, 349, 248, 344, 254, 350)(246, 342, 255, 351, 247, 343, 256, 352)(257, 353, 265, 361, 260, 356, 266, 362)(258, 354, 267, 363, 259, 355, 268, 364)(261, 357, 269, 365, 264, 360, 270, 366)(262, 358, 271, 367, 263, 359, 272, 368)(273, 369, 281, 377, 276, 372, 282, 378)(274, 370, 283, 379, 275, 371, 284, 380)(277, 373, 285, 381, 280, 376, 286, 382)(278, 374, 287, 383, 279, 375, 288, 384)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 227)(25, 206)(26, 229)(27, 224)(28, 208)(29, 226)(30, 209)(31, 210)(32, 219)(33, 211)(34, 221)(35, 216)(36, 213)(37, 218)(38, 214)(39, 241)(40, 242)(41, 243)(42, 244)(43, 240)(44, 245)(45, 246)(46, 247)(47, 248)(48, 235)(49, 231)(50, 232)(51, 233)(52, 234)(53, 236)(54, 237)(55, 238)(56, 239)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 249)(66, 250)(67, 251)(68, 252)(69, 253)(70, 254)(71, 255)(72, 256)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 265)(82, 266)(83, 267)(84, 268)(85, 269)(86, 270)(87, 271)(88, 272)(89, 285)(90, 288)(91, 287)(92, 286)(93, 281)(94, 284)(95, 283)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.904
Graph:: bipartite
	v = 72 e = 192 f = 104
	degree seq :: [ 4^48, 8^24 ]

E9.902 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 21, 117, 11, 107)(5, 101, 13, 109, 18, 114, 7, 103)(8, 104, 19, 115, 31, 127, 15, 111)(10, 106, 23, 119, 37, 133, 20, 116)(12, 108, 16, 112, 32, 128, 27, 123)(14, 110, 26, 122, 44, 140, 28, 124)(17, 113, 34, 130, 51, 147, 33, 129)(22, 118, 30, 126, 48, 144, 39, 135)(24, 120, 38, 134, 49, 145, 41, 137)(25, 121, 40, 136, 50, 146, 36, 132)(29, 125, 35, 131, 52, 148, 45, 141)(42, 138, 57, 153, 65, 161, 55, 151)(43, 139, 58, 154, 73, 169, 59, 155)(46, 142, 61, 157, 67, 163, 53, 149)(47, 143, 63, 159, 69, 165, 54, 150)(56, 152, 71, 167, 80, 176, 66, 162)(60, 156, 75, 171, 86, 182, 72, 168)(62, 158, 68, 164, 82, 178, 77, 173)(64, 160, 78, 174, 90, 186, 79, 175)(70, 166, 84, 180, 93, 189, 83, 179)(74, 170, 81, 177, 91, 187, 87, 183)(76, 172, 85, 181, 92, 188, 88, 184)(89, 185, 95, 191, 96, 192, 94, 190)(193, 289, 195, 291, 202, 298, 216, 312, 235, 331, 252, 348, 268, 364, 256, 352, 239, 335, 221, 317, 206, 302, 197, 293)(194, 290, 199, 295, 209, 305, 227, 323, 246, 342, 262, 358, 277, 373, 264, 360, 248, 344, 230, 326, 212, 308, 200, 296)(196, 292, 204, 300, 218, 314, 237, 333, 254, 350, 270, 366, 280, 376, 266, 362, 250, 346, 233, 329, 214, 310, 201, 297)(198, 294, 207, 303, 222, 318, 241, 337, 258, 354, 273, 369, 284, 380, 275, 371, 260, 356, 244, 340, 225, 321, 208, 304)(203, 299, 217, 313, 205, 301, 220, 316, 238, 334, 255, 351, 271, 367, 281, 377, 267, 363, 251, 347, 234, 330, 215, 311)(210, 306, 228, 324, 211, 307, 229, 325, 247, 343, 263, 359, 278, 374, 286, 382, 276, 372, 261, 357, 245, 341, 226, 322)(213, 309, 231, 327, 249, 345, 265, 361, 279, 375, 287, 383, 282, 378, 269, 365, 253, 349, 236, 332, 219, 315, 232, 328)(223, 319, 242, 338, 224, 320, 243, 339, 259, 355, 274, 370, 285, 381, 288, 384, 283, 379, 272, 368, 257, 353, 240, 336)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 217)(12, 218)(13, 220)(14, 197)(15, 222)(16, 198)(17, 227)(18, 228)(19, 229)(20, 200)(21, 231)(22, 201)(23, 203)(24, 235)(25, 205)(26, 237)(27, 232)(28, 238)(29, 206)(30, 241)(31, 242)(32, 243)(33, 208)(34, 210)(35, 246)(36, 211)(37, 247)(38, 212)(39, 249)(40, 213)(41, 214)(42, 215)(43, 252)(44, 219)(45, 254)(46, 255)(47, 221)(48, 223)(49, 258)(50, 224)(51, 259)(52, 225)(53, 226)(54, 262)(55, 263)(56, 230)(57, 265)(58, 233)(59, 234)(60, 268)(61, 236)(62, 270)(63, 271)(64, 239)(65, 240)(66, 273)(67, 274)(68, 244)(69, 245)(70, 277)(71, 278)(72, 248)(73, 279)(74, 250)(75, 251)(76, 256)(77, 253)(78, 280)(79, 281)(80, 257)(81, 284)(82, 285)(83, 260)(84, 261)(85, 264)(86, 286)(87, 287)(88, 266)(89, 267)(90, 269)(91, 272)(92, 275)(93, 288)(94, 276)(95, 282)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E9.903
Graph:: bipartite
	v = 32 e = 192 f = 144
	degree seq :: [ 8^24, 24^8 ]

E9.903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-1 * Y2 * Y3^-2)^2, Y3^12, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 217, 313)(206, 302, 221, 317)(207, 303, 220, 316)(208, 304, 224, 320)(210, 306, 222, 318)(211, 307, 229, 325)(212, 308, 215, 311)(214, 310, 218, 314)(216, 312, 234, 330)(219, 315, 239, 335)(223, 319, 243, 339)(225, 321, 240, 336)(226, 322, 245, 341)(227, 323, 241, 337)(228, 324, 246, 342)(230, 326, 235, 331)(231, 327, 237, 333)(232, 328, 250, 346)(233, 329, 253, 349)(236, 332, 255, 351)(238, 334, 256, 352)(242, 338, 260, 356)(244, 340, 259, 355)(247, 343, 264, 360)(248, 344, 266, 362)(249, 345, 254, 350)(251, 347, 268, 364)(252, 348, 270, 366)(257, 353, 272, 368)(258, 354, 274, 370)(261, 357, 276, 372)(262, 358, 278, 374)(263, 359, 271, 367)(265, 361, 279, 375)(267, 363, 275, 371)(269, 365, 282, 378)(273, 369, 283, 379)(277, 373, 286, 382)(280, 376, 285, 381)(281, 377, 284, 380)(287, 383, 288, 384)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 215)(12, 218)(13, 219)(14, 198)(15, 223)(16, 199)(17, 226)(18, 228)(19, 230)(20, 201)(21, 231)(22, 202)(23, 233)(24, 203)(25, 236)(26, 238)(27, 240)(28, 205)(29, 241)(30, 206)(31, 213)(32, 244)(33, 208)(34, 212)(35, 209)(36, 248)(37, 243)(38, 250)(39, 251)(40, 214)(41, 221)(42, 254)(43, 216)(44, 220)(45, 217)(46, 258)(47, 253)(48, 260)(49, 261)(50, 222)(51, 263)(52, 264)(53, 224)(54, 225)(55, 227)(56, 267)(57, 229)(58, 269)(59, 270)(60, 232)(61, 271)(62, 272)(63, 234)(64, 235)(65, 237)(66, 275)(67, 239)(68, 277)(69, 278)(70, 242)(71, 245)(72, 279)(73, 246)(74, 247)(75, 252)(76, 249)(77, 281)(78, 280)(79, 255)(80, 283)(81, 256)(82, 257)(83, 262)(84, 259)(85, 285)(86, 284)(87, 287)(88, 265)(89, 266)(90, 268)(91, 288)(92, 273)(93, 274)(94, 276)(95, 282)(96, 286)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.902
Graph:: simple bipartite
	v = 144 e = 192 f = 32
	degree seq :: [ 2^96, 4^48 ]

E9.904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^2 * Y1 * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-3 * Y3^-1 * Y1^-3, Y1^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 41, 137, 61, 157, 60, 156, 40, 136, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 51, 147, 71, 167, 79, 175, 65, 161, 43, 139, 24, 120, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 21, 117, 39, 135, 59, 155, 78, 174, 82, 178, 63, 159, 42, 138, 30, 126, 14, 110)(9, 105, 19, 115, 37, 133, 57, 153, 76, 172, 80, 176, 62, 158, 46, 142, 26, 122, 12, 108, 25, 121, 20, 116)(16, 112, 33, 129, 53, 149, 36, 132, 45, 141, 67, 163, 84, 180, 91, 187, 88, 184, 72, 168, 55, 151, 34, 130)(17, 113, 35, 131, 50, 146, 64, 160, 83, 179, 93, 189, 87, 183, 73, 169, 52, 148, 32, 128, 48, 144, 28, 124)(29, 125, 49, 145, 68, 164, 81, 177, 92, 188, 90, 186, 77, 173, 58, 154, 38, 134, 47, 143, 66, 162, 44, 140)(54, 150, 75, 171, 89, 185, 95, 191, 96, 192, 94, 190, 86, 182, 70, 166, 56, 152, 74, 170, 85, 181, 69, 165)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 224)(16, 199)(17, 200)(18, 228)(19, 230)(20, 225)(21, 202)(22, 223)(23, 234)(24, 203)(25, 236)(26, 237)(27, 239)(28, 205)(29, 206)(30, 242)(31, 214)(32, 207)(33, 212)(34, 246)(35, 248)(36, 210)(37, 247)(38, 211)(39, 244)(40, 249)(41, 254)(42, 215)(43, 256)(44, 217)(45, 218)(46, 260)(47, 219)(48, 261)(49, 262)(50, 222)(51, 264)(52, 231)(53, 266)(54, 226)(55, 229)(56, 227)(57, 232)(58, 267)(59, 269)(60, 270)(61, 271)(62, 233)(63, 273)(64, 235)(65, 276)(66, 277)(67, 278)(68, 238)(69, 240)(70, 241)(71, 279)(72, 243)(73, 281)(74, 245)(75, 250)(76, 282)(77, 251)(78, 252)(79, 253)(80, 283)(81, 255)(82, 285)(83, 286)(84, 257)(85, 258)(86, 259)(87, 263)(88, 287)(89, 265)(90, 268)(91, 272)(92, 288)(93, 274)(94, 275)(95, 280)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8 ), ( 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 E9.901
Graph:: simple bipartite
	v = 104 e = 192 f = 72
	degree seq :: [ 2^96, 24^8 ]

E9.905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^3 * Y1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, Y2^12 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 28, 124)(16, 112, 32, 128)(18, 114, 30, 126)(19, 115, 37, 133)(20, 116, 23, 119)(22, 118, 26, 122)(24, 120, 42, 138)(27, 123, 47, 143)(31, 127, 51, 147)(33, 129, 48, 144)(34, 130, 53, 149)(35, 131, 49, 145)(36, 132, 54, 150)(38, 134, 43, 139)(39, 135, 45, 141)(40, 136, 58, 154)(41, 137, 61, 157)(44, 140, 63, 159)(46, 142, 64, 160)(50, 146, 68, 164)(52, 148, 67, 163)(55, 151, 72, 168)(56, 152, 74, 170)(57, 153, 62, 158)(59, 155, 76, 172)(60, 156, 78, 174)(65, 161, 80, 176)(66, 162, 82, 178)(69, 165, 84, 180)(70, 166, 86, 182)(71, 167, 79, 175)(73, 169, 87, 183)(75, 171, 83, 179)(77, 173, 90, 186)(81, 177, 91, 187)(85, 181, 94, 190)(88, 184, 93, 189)(89, 185, 92, 188)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 228, 324, 248, 344, 267, 363, 252, 348, 232, 328, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 238, 334, 258, 354, 275, 371, 262, 358, 242, 338, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 223, 319, 213, 309, 231, 327, 251, 347, 270, 366, 280, 376, 265, 361, 246, 342, 225, 321, 208, 304)(201, 297, 211, 307, 230, 326, 250, 346, 269, 365, 281, 377, 266, 362, 247, 343, 227, 323, 209, 305, 226, 322, 212, 308)(203, 299, 215, 311, 233, 329, 221, 317, 241, 337, 261, 357, 278, 374, 284, 380, 273, 369, 256, 352, 235, 331, 216, 312)(205, 301, 219, 315, 240, 336, 260, 356, 277, 373, 285, 381, 274, 370, 257, 353, 237, 333, 217, 313, 236, 332, 220, 316)(224, 320, 244, 340, 264, 360, 279, 375, 287, 383, 282, 378, 268, 364, 249, 345, 229, 325, 243, 339, 263, 359, 245, 341)(234, 330, 254, 350, 272, 368, 283, 379, 288, 384, 286, 382, 276, 372, 259, 355, 239, 335, 253, 349, 271, 367, 255, 351)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 220)(16, 224)(17, 200)(18, 222)(19, 229)(20, 215)(21, 202)(22, 218)(23, 212)(24, 234)(25, 204)(26, 214)(27, 239)(28, 207)(29, 206)(30, 210)(31, 243)(32, 208)(33, 240)(34, 245)(35, 241)(36, 246)(37, 211)(38, 235)(39, 237)(40, 250)(41, 253)(42, 216)(43, 230)(44, 255)(45, 231)(46, 256)(47, 219)(48, 225)(49, 227)(50, 260)(51, 223)(52, 259)(53, 226)(54, 228)(55, 264)(56, 266)(57, 254)(58, 232)(59, 268)(60, 270)(61, 233)(62, 249)(63, 236)(64, 238)(65, 272)(66, 274)(67, 244)(68, 242)(69, 276)(70, 278)(71, 271)(72, 247)(73, 279)(74, 248)(75, 275)(76, 251)(77, 282)(78, 252)(79, 263)(80, 257)(81, 283)(82, 258)(83, 267)(84, 261)(85, 286)(86, 262)(87, 265)(88, 285)(89, 284)(90, 269)(91, 273)(92, 281)(93, 280)(94, 277)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 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 E9.906
Graph:: bipartite
	v = 56 e = 192 f = 120
	degree seq :: [ 4^48, 24^8 ]

E9.906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 21, 117, 11, 107)(5, 101, 13, 109, 18, 114, 7, 103)(8, 104, 19, 115, 31, 127, 15, 111)(10, 106, 23, 119, 37, 133, 20, 116)(12, 108, 16, 112, 32, 128, 27, 123)(14, 110, 26, 122, 44, 140, 28, 124)(17, 113, 34, 130, 51, 147, 33, 129)(22, 118, 30, 126, 48, 144, 39, 135)(24, 120, 38, 134, 49, 145, 41, 137)(25, 121, 40, 136, 50, 146, 36, 132)(29, 125, 35, 131, 52, 148, 45, 141)(42, 138, 57, 153, 65, 161, 55, 151)(43, 139, 58, 154, 73, 169, 59, 155)(46, 142, 61, 157, 67, 163, 53, 149)(47, 143, 63, 159, 69, 165, 54, 150)(56, 152, 71, 167, 80, 176, 66, 162)(60, 156, 75, 171, 86, 182, 72, 168)(62, 158, 68, 164, 82, 178, 77, 173)(64, 160, 78, 174, 90, 186, 79, 175)(70, 166, 84, 180, 93, 189, 83, 179)(74, 170, 81, 177, 91, 187, 87, 183)(76, 172, 85, 181, 92, 188, 88, 184)(89, 185, 95, 191, 96, 192, 94, 190)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 217)(12, 218)(13, 220)(14, 197)(15, 222)(16, 198)(17, 227)(18, 228)(19, 229)(20, 200)(21, 231)(22, 201)(23, 203)(24, 235)(25, 205)(26, 237)(27, 232)(28, 238)(29, 206)(30, 241)(31, 242)(32, 243)(33, 208)(34, 210)(35, 246)(36, 211)(37, 247)(38, 212)(39, 249)(40, 213)(41, 214)(42, 215)(43, 252)(44, 219)(45, 254)(46, 255)(47, 221)(48, 223)(49, 258)(50, 224)(51, 259)(52, 225)(53, 226)(54, 262)(55, 263)(56, 230)(57, 265)(58, 233)(59, 234)(60, 268)(61, 236)(62, 270)(63, 271)(64, 239)(65, 240)(66, 273)(67, 274)(68, 244)(69, 245)(70, 277)(71, 278)(72, 248)(73, 279)(74, 250)(75, 251)(76, 256)(77, 253)(78, 280)(79, 281)(80, 257)(81, 284)(82, 285)(83, 260)(84, 261)(85, 264)(86, 286)(87, 287)(88, 266)(89, 267)(90, 269)(91, 272)(92, 275)(93, 288)(94, 276)(95, 282)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.905
Graph:: simple bipartite
	v = 120 e = 192 f = 56
	degree seq :: [ 2^96, 8^24 ]

E9.907 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 6})
Quotient :: regular
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^6, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-1)^5, T2 * T1^-3 * T2 * T1^3 * T2 * T1^-3, (T2 * T1^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 60, 37, 20)(12, 23, 42, 71, 45, 24)(16, 31, 54, 80, 49, 27)(17, 32, 56, 87, 57, 33)(21, 38, 64, 76, 66, 39)(22, 40, 67, 51, 70, 41)(26, 48, 79, 100, 74, 44)(30, 52, 83, 105, 85, 53)(34, 58, 89, 98, 72, 59)(36, 62, 92, 106, 84, 55)(43, 73, 99, 114, 96, 69)(47, 77, 63, 86, 103, 78)(50, 81, 104, 112, 94, 82)(61, 90, 97, 115, 110, 91)(65, 68, 95, 113, 108, 88)(75, 101, 116, 111, 93, 102)(107, 119, 120, 118, 109, 117)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 32)(20, 36)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(31, 55)(33, 48)(35, 61)(37, 63)(38, 62)(39, 65)(40, 68)(41, 69)(42, 72)(45, 75)(46, 76)(49, 73)(52, 82)(53, 84)(54, 86)(56, 88)(57, 78)(58, 79)(59, 90)(60, 71)(64, 93)(66, 83)(67, 94)(70, 97)(74, 95)(77, 102)(80, 98)(81, 99)(85, 107)(87, 105)(89, 109)(91, 108)(92, 96)(100, 112)(101, 113)(103, 117)(104, 118)(106, 115)(110, 119)(111, 114)(116, 120)
	local type(s) :: { ( 5^6 ) }
Outer automorphisms :: reflexible
Dual of E9.908
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 20 e = 60 f = 24
	degree seq :: [ 6^20 ]

E9.908 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 6})
Quotient :: regular
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^5, (T1 * T2 * T1^-1 * T2)^2, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-2)^4, (T1^-1 * T2)^6 ]
Map:: polytopal 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, 43, 25)(16, 29, 49, 51, 30)(20, 35, 58, 60, 36)(24, 42, 67, 63, 39)(27, 45, 72, 75, 46)(31, 52, 81, 61, 53)(33, 55, 85, 86, 56)(38, 62, 90, 89, 59)(41, 65, 57, 87, 66)(44, 70, 98, 88, 71)(48, 77, 104, 100, 74)(50, 79, 107, 95, 68)(54, 83, 64, 93, 84)(69, 97, 112, 108, 91)(73, 99, 94, 109, 82)(76, 102, 80, 96, 103)(78, 105, 101, 115, 106)(92, 111, 117, 113, 110)(114, 119, 120, 118, 116)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 29)(19, 33)(21, 38)(22, 39)(23, 41)(26, 44)(28, 48)(30, 50)(32, 54)(34, 57)(35, 55)(36, 59)(37, 61)(40, 64)(42, 68)(43, 69)(45, 73)(46, 74)(47, 76)(49, 78)(51, 80)(52, 79)(53, 82)(56, 77)(58, 88)(60, 72)(62, 91)(63, 92)(65, 94)(66, 95)(67, 96)(70, 97)(71, 99)(75, 101)(81, 108)(83, 109)(84, 106)(85, 110)(86, 103)(87, 104)(89, 105)(90, 102)(93, 111)(98, 113)(100, 114)(107, 116)(112, 118)(115, 119)(117, 120)
	local type(s) :: { ( 6^5 ) }
Outer automorphisms :: reflexible
Dual of E9.907
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 60 f = 20
	degree seq :: [ 5^24 ]

E9.909 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 6})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T1 * T2 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2^-1)^2, (T1 * T2^-2)^4, (T2^-1 * T1)^6 ]
Map:: polytopal
	R = (1, 3, 8, 10, 4)(2, 5, 12, 14, 6)(7, 15, 28, 29, 16)(9, 18, 32, 34, 19)(11, 21, 38, 39, 22)(13, 24, 42, 44, 25)(17, 30, 52, 53, 31)(20, 35, 58, 60, 36)(23, 40, 66, 67, 41)(26, 45, 72, 74, 46)(27, 47, 75, 76, 48)(33, 55, 85, 86, 56)(37, 61, 90, 91, 62)(43, 69, 100, 101, 70)(49, 77, 57, 87, 78)(50, 79, 107, 88, 80)(51, 81, 108, 89, 59)(54, 83, 82, 109, 84)(63, 92, 71, 102, 93)(64, 94, 112, 103, 95)(65, 96, 106, 104, 73)(68, 98, 97, 113, 99)(105, 115, 119, 116, 110)(111, 117, 120, 118, 114)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 137)(130, 140)(132, 143)(134, 146)(135, 147)(136, 142)(138, 144)(139, 153)(141, 157)(145, 163)(148, 169)(149, 170)(150, 171)(151, 168)(152, 174)(154, 177)(155, 175)(156, 179)(158, 183)(159, 184)(160, 185)(161, 182)(162, 188)(164, 191)(165, 189)(166, 193)(167, 190)(172, 194)(173, 202)(176, 181)(178, 208)(180, 186)(187, 217)(192, 223)(195, 222)(196, 225)(197, 226)(198, 221)(199, 214)(200, 216)(201, 215)(203, 224)(204, 219)(205, 230)(206, 213)(207, 210)(209, 218)(211, 231)(212, 228)(220, 234)(227, 236)(229, 235)(232, 238)(233, 237)(239, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 12 ), ( 12^5 ) }
Outer automorphisms :: reflexible
Dual of E9.913
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 120 f = 20
	degree seq :: [ 2^60, 5^24 ]

E9.910 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 6})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^5, T2^6, (T2^-1, T1)^2, (T2 * T1^-1)^4, (T1 * T2^-2)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 25, 15, 5)(2, 7, 18, 42, 21, 8)(4, 12, 30, 51, 23, 9)(6, 16, 37, 72, 40, 17)(11, 27, 59, 90, 53, 24)(13, 32, 65, 89, 52, 29)(14, 34, 38, 73, 69, 35)(19, 44, 80, 49, 22, 41)(20, 46, 66, 85, 83, 47)(26, 56, 48, 78, 92, 54)(28, 60, 97, 113, 91, 58)(31, 63, 100, 75, 39, 61)(33, 67, 94, 114, 103, 68)(36, 55, 93, 88, 62, 71)(43, 79, 76, 105, 102, 77)(45, 81, 108, 118, 110, 82)(50, 86, 98, 111, 84, 87)(57, 96, 109, 104, 70, 95)(64, 101, 115, 119, 112, 99)(74, 106, 116, 120, 117, 107)(121, 122, 126, 133, 124)(123, 129, 142, 148, 131)(125, 134, 153, 139, 127)(128, 140, 165, 158, 136)(130, 144, 172, 177, 146)(132, 149, 173, 184, 151)(135, 156, 190, 157, 154)(137, 159, 194, 186, 152)(138, 161, 143, 170, 163)(141, 168, 204, 185, 166)(145, 174, 211, 214, 175)(147, 178, 212, 201, 167)(150, 181, 160, 196, 182)(155, 183, 219, 213, 187)(162, 197, 223, 228, 198)(164, 188, 222, 226, 195)(169, 205, 227, 218, 180)(171, 208, 232, 217, 206)(176, 215, 191, 199, 207)(179, 203, 200, 220, 189)(192, 224, 230, 236, 225)(193, 202, 229, 221, 210)(209, 231, 237, 235, 216)(233, 239, 240, 238, 234)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^5 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E9.914
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 120 f = 60
	degree seq :: [ 5^24, 6^20 ]

E9.911 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 6})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-1)^5, T2 * T1^-3 * T2 * T1^3 * T2 * T1^-3, (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, 32)(20, 36)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(31, 55)(33, 48)(35, 61)(37, 63)(38, 62)(39, 65)(40, 68)(41, 69)(42, 72)(45, 75)(46, 76)(49, 73)(52, 82)(53, 84)(54, 86)(56, 88)(57, 78)(58, 79)(59, 90)(60, 71)(64, 93)(66, 83)(67, 94)(70, 97)(74, 95)(77, 102)(80, 98)(81, 99)(85, 107)(87, 105)(89, 109)(91, 108)(92, 96)(100, 112)(101, 113)(103, 117)(104, 118)(106, 115)(110, 119)(111, 114)(116, 120)(121, 122, 125, 131, 130, 124)(123, 127, 135, 149, 138, 128)(126, 133, 145, 166, 148, 134)(129, 139, 155, 180, 157, 140)(132, 143, 162, 191, 165, 144)(136, 151, 174, 200, 169, 147)(137, 152, 176, 207, 177, 153)(141, 158, 184, 196, 186, 159)(142, 160, 187, 171, 190, 161)(146, 168, 199, 220, 194, 164)(150, 172, 203, 225, 205, 173)(154, 178, 209, 218, 192, 179)(156, 182, 212, 226, 204, 175)(163, 193, 219, 234, 216, 189)(167, 197, 183, 206, 223, 198)(170, 201, 224, 232, 214, 202)(181, 210, 217, 235, 230, 211)(185, 188, 215, 233, 228, 208)(195, 221, 236, 231, 213, 222)(227, 239, 240, 238, 229, 237)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10, 10 ), ( 10^6 ) }
Outer automorphisms :: reflexible
Dual of E9.912
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 120 f = 24
	degree seq :: [ 2^60, 6^20 ]

E9.912 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 6})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T1 * T2 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2^-1)^2, (T1 * T2^-2)^4, (T2^-1 * T1)^6 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 14, 134, 6, 126)(7, 127, 15, 135, 28, 148, 29, 149, 16, 136)(9, 129, 18, 138, 32, 152, 34, 154, 19, 139)(11, 131, 21, 141, 38, 158, 39, 159, 22, 142)(13, 133, 24, 144, 42, 162, 44, 164, 25, 145)(17, 137, 30, 150, 52, 172, 53, 173, 31, 151)(20, 140, 35, 155, 58, 178, 60, 180, 36, 156)(23, 143, 40, 160, 66, 186, 67, 187, 41, 161)(26, 146, 45, 165, 72, 192, 74, 194, 46, 166)(27, 147, 47, 167, 75, 195, 76, 196, 48, 168)(33, 153, 55, 175, 85, 205, 86, 206, 56, 176)(37, 157, 61, 181, 90, 210, 91, 211, 62, 182)(43, 163, 69, 189, 100, 220, 101, 221, 70, 190)(49, 169, 77, 197, 57, 177, 87, 207, 78, 198)(50, 170, 79, 199, 107, 227, 88, 208, 80, 200)(51, 171, 81, 201, 108, 228, 89, 209, 59, 179)(54, 174, 83, 203, 82, 202, 109, 229, 84, 204)(63, 183, 92, 212, 71, 191, 102, 222, 93, 213)(64, 184, 94, 214, 112, 232, 103, 223, 95, 215)(65, 185, 96, 216, 106, 226, 104, 224, 73, 193)(68, 188, 98, 218, 97, 217, 113, 233, 99, 219)(105, 225, 115, 235, 119, 239, 116, 236, 110, 230)(111, 231, 117, 237, 120, 240, 118, 238, 114, 234)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 137)(9, 124)(10, 140)(11, 125)(12, 143)(13, 126)(14, 146)(15, 147)(16, 142)(17, 128)(18, 144)(19, 153)(20, 130)(21, 157)(22, 136)(23, 132)(24, 138)(25, 163)(26, 134)(27, 135)(28, 169)(29, 170)(30, 171)(31, 168)(32, 174)(33, 139)(34, 177)(35, 175)(36, 179)(37, 141)(38, 183)(39, 184)(40, 185)(41, 182)(42, 188)(43, 145)(44, 191)(45, 189)(46, 193)(47, 190)(48, 151)(49, 148)(50, 149)(51, 150)(52, 194)(53, 202)(54, 152)(55, 155)(56, 181)(57, 154)(58, 208)(59, 156)(60, 186)(61, 176)(62, 161)(63, 158)(64, 159)(65, 160)(66, 180)(67, 217)(68, 162)(69, 165)(70, 167)(71, 164)(72, 223)(73, 166)(74, 172)(75, 222)(76, 225)(77, 226)(78, 221)(79, 214)(80, 216)(81, 215)(82, 173)(83, 224)(84, 219)(85, 230)(86, 213)(87, 210)(88, 178)(89, 218)(90, 207)(91, 231)(92, 228)(93, 206)(94, 199)(95, 201)(96, 200)(97, 187)(98, 209)(99, 204)(100, 234)(101, 198)(102, 195)(103, 192)(104, 203)(105, 196)(106, 197)(107, 236)(108, 212)(109, 235)(110, 205)(111, 211)(112, 238)(113, 237)(114, 220)(115, 229)(116, 227)(117, 233)(118, 232)(119, 240)(120, 239)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.911
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 120 f = 80
	degree seq :: [ 10^24 ]

E9.913 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 6})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^5, T2^6, (T2^-1, T1)^2, (T2 * T1^-1)^4, (T1 * T2^-2)^3 ]
Map::
	R = (1, 121, 3, 123, 10, 130, 25, 145, 15, 135, 5, 125)(2, 122, 7, 127, 18, 138, 42, 162, 21, 141, 8, 128)(4, 124, 12, 132, 30, 150, 51, 171, 23, 143, 9, 129)(6, 126, 16, 136, 37, 157, 72, 192, 40, 160, 17, 137)(11, 131, 27, 147, 59, 179, 90, 210, 53, 173, 24, 144)(13, 133, 32, 152, 65, 185, 89, 209, 52, 172, 29, 149)(14, 134, 34, 154, 38, 158, 73, 193, 69, 189, 35, 155)(19, 139, 44, 164, 80, 200, 49, 169, 22, 142, 41, 161)(20, 140, 46, 166, 66, 186, 85, 205, 83, 203, 47, 167)(26, 146, 56, 176, 48, 168, 78, 198, 92, 212, 54, 174)(28, 148, 60, 180, 97, 217, 113, 233, 91, 211, 58, 178)(31, 151, 63, 183, 100, 220, 75, 195, 39, 159, 61, 181)(33, 153, 67, 187, 94, 214, 114, 234, 103, 223, 68, 188)(36, 156, 55, 175, 93, 213, 88, 208, 62, 182, 71, 191)(43, 163, 79, 199, 76, 196, 105, 225, 102, 222, 77, 197)(45, 165, 81, 201, 108, 228, 118, 238, 110, 230, 82, 202)(50, 170, 86, 206, 98, 218, 111, 231, 84, 204, 87, 207)(57, 177, 96, 216, 109, 229, 104, 224, 70, 190, 95, 215)(64, 184, 101, 221, 115, 235, 119, 239, 112, 232, 99, 219)(74, 194, 106, 226, 116, 236, 120, 240, 117, 237, 107, 227)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 133)(7, 125)(8, 140)(9, 142)(10, 144)(11, 123)(12, 149)(13, 124)(14, 153)(15, 156)(16, 128)(17, 159)(18, 161)(19, 127)(20, 165)(21, 168)(22, 148)(23, 170)(24, 172)(25, 174)(26, 130)(27, 178)(28, 131)(29, 173)(30, 181)(31, 132)(32, 137)(33, 139)(34, 135)(35, 183)(36, 190)(37, 154)(38, 136)(39, 194)(40, 196)(41, 143)(42, 197)(43, 138)(44, 188)(45, 158)(46, 141)(47, 147)(48, 204)(49, 205)(50, 163)(51, 208)(52, 177)(53, 184)(54, 211)(55, 145)(56, 215)(57, 146)(58, 212)(59, 203)(60, 169)(61, 160)(62, 150)(63, 219)(64, 151)(65, 166)(66, 152)(67, 155)(68, 222)(69, 179)(70, 157)(71, 199)(72, 224)(73, 202)(74, 186)(75, 164)(76, 182)(77, 223)(78, 162)(79, 207)(80, 220)(81, 167)(82, 229)(83, 200)(84, 185)(85, 227)(86, 171)(87, 176)(88, 232)(89, 231)(90, 193)(91, 214)(92, 201)(93, 187)(94, 175)(95, 191)(96, 209)(97, 206)(98, 180)(99, 213)(100, 189)(101, 210)(102, 226)(103, 228)(104, 230)(105, 192)(106, 195)(107, 218)(108, 198)(109, 221)(110, 236)(111, 237)(112, 217)(113, 239)(114, 233)(115, 216)(116, 225)(117, 235)(118, 234)(119, 240)(120, 238)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E9.909
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 120 f = 84
	degree seq :: [ 12^20 ]

E9.914 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 6})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-1)^5, T2 * T1^-3 * T2 * T1^3 * T2 * T1^-3, (T2 * T1^-2)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 121, 3, 123)(2, 122, 6, 126)(4, 124, 9, 129)(5, 125, 12, 132)(7, 127, 16, 136)(8, 128, 17, 137)(10, 130, 21, 141)(11, 131, 22, 142)(13, 133, 26, 146)(14, 134, 27, 147)(15, 135, 30, 150)(18, 138, 34, 154)(19, 139, 32, 152)(20, 140, 36, 156)(23, 143, 43, 163)(24, 144, 44, 164)(25, 145, 47, 167)(28, 148, 50, 170)(29, 149, 51, 171)(31, 151, 55, 175)(33, 153, 48, 168)(35, 155, 61, 181)(37, 157, 63, 183)(38, 158, 62, 182)(39, 159, 65, 185)(40, 160, 68, 188)(41, 161, 69, 189)(42, 162, 72, 192)(45, 165, 75, 195)(46, 166, 76, 196)(49, 169, 73, 193)(52, 172, 82, 202)(53, 173, 84, 204)(54, 174, 86, 206)(56, 176, 88, 208)(57, 177, 78, 198)(58, 178, 79, 199)(59, 179, 90, 210)(60, 180, 71, 191)(64, 184, 93, 213)(66, 186, 83, 203)(67, 187, 94, 214)(70, 190, 97, 217)(74, 194, 95, 215)(77, 197, 102, 222)(80, 200, 98, 218)(81, 201, 99, 219)(85, 205, 107, 227)(87, 207, 105, 225)(89, 209, 109, 229)(91, 211, 108, 228)(92, 212, 96, 216)(100, 220, 112, 232)(101, 221, 113, 233)(103, 223, 117, 237)(104, 224, 118, 238)(106, 226, 115, 235)(110, 230, 119, 239)(111, 231, 114, 234)(116, 236, 120, 240)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 135)(8, 123)(9, 139)(10, 124)(11, 130)(12, 143)(13, 145)(14, 126)(15, 149)(16, 151)(17, 152)(18, 128)(19, 155)(20, 129)(21, 158)(22, 160)(23, 162)(24, 132)(25, 166)(26, 168)(27, 136)(28, 134)(29, 138)(30, 172)(31, 174)(32, 176)(33, 137)(34, 178)(35, 180)(36, 182)(37, 140)(38, 184)(39, 141)(40, 187)(41, 142)(42, 191)(43, 193)(44, 146)(45, 144)(46, 148)(47, 197)(48, 199)(49, 147)(50, 201)(51, 190)(52, 203)(53, 150)(54, 200)(55, 156)(56, 207)(57, 153)(58, 209)(59, 154)(60, 157)(61, 210)(62, 212)(63, 206)(64, 196)(65, 188)(66, 159)(67, 171)(68, 215)(69, 163)(70, 161)(71, 165)(72, 179)(73, 219)(74, 164)(75, 221)(76, 186)(77, 183)(78, 167)(79, 220)(80, 169)(81, 224)(82, 170)(83, 225)(84, 175)(85, 173)(86, 223)(87, 177)(88, 185)(89, 218)(90, 217)(91, 181)(92, 226)(93, 222)(94, 202)(95, 233)(96, 189)(97, 235)(98, 192)(99, 234)(100, 194)(101, 236)(102, 195)(103, 198)(104, 232)(105, 205)(106, 204)(107, 239)(108, 208)(109, 237)(110, 211)(111, 213)(112, 214)(113, 228)(114, 216)(115, 230)(116, 231)(117, 227)(118, 229)(119, 240)(120, 238)
	local type(s) :: { ( 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.910
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 60 e = 120 f = 44
	degree seq :: [ 4^60 ]

E9.915 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|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 * Y1 * Y2^-1)^2, (R * Y2^2 * Y1)^2, (Y1 * Y2 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^6, (Y1 * Y2^-2)^4, (Y2 * Y1)^6 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 20, 140)(12, 132, 23, 143)(14, 134, 26, 146)(15, 135, 27, 147)(16, 136, 22, 142)(18, 138, 24, 144)(19, 139, 33, 153)(21, 141, 37, 157)(25, 145, 43, 163)(28, 148, 49, 169)(29, 149, 50, 170)(30, 150, 51, 171)(31, 151, 48, 168)(32, 152, 54, 174)(34, 154, 57, 177)(35, 155, 55, 175)(36, 156, 59, 179)(38, 158, 63, 183)(39, 159, 64, 184)(40, 160, 65, 185)(41, 161, 62, 182)(42, 162, 68, 188)(44, 164, 71, 191)(45, 165, 69, 189)(46, 166, 73, 193)(47, 167, 70, 190)(52, 172, 74, 194)(53, 173, 82, 202)(56, 176, 61, 181)(58, 178, 88, 208)(60, 180, 66, 186)(67, 187, 97, 217)(72, 192, 103, 223)(75, 195, 102, 222)(76, 196, 105, 225)(77, 197, 106, 226)(78, 198, 101, 221)(79, 199, 94, 214)(80, 200, 96, 216)(81, 201, 95, 215)(83, 203, 104, 224)(84, 204, 99, 219)(85, 205, 110, 230)(86, 206, 93, 213)(87, 207, 90, 210)(89, 209, 98, 218)(91, 211, 111, 231)(92, 212, 108, 228)(100, 220, 114, 234)(107, 227, 116, 236)(109, 229, 115, 235)(112, 232, 118, 238)(113, 233, 117, 237)(119, 239, 120, 240)(241, 361, 243, 363, 248, 368, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 254, 374, 246, 366)(247, 367, 255, 375, 268, 388, 269, 389, 256, 376)(249, 369, 258, 378, 272, 392, 274, 394, 259, 379)(251, 371, 261, 381, 278, 398, 279, 399, 262, 382)(253, 373, 264, 384, 282, 402, 284, 404, 265, 385)(257, 377, 270, 390, 292, 412, 293, 413, 271, 391)(260, 380, 275, 395, 298, 418, 300, 420, 276, 396)(263, 383, 280, 400, 306, 426, 307, 427, 281, 401)(266, 386, 285, 405, 312, 432, 314, 434, 286, 406)(267, 387, 287, 407, 315, 435, 316, 436, 288, 408)(273, 393, 295, 415, 325, 445, 326, 446, 296, 416)(277, 397, 301, 421, 330, 450, 331, 451, 302, 422)(283, 403, 309, 429, 340, 460, 341, 461, 310, 430)(289, 409, 317, 437, 297, 417, 327, 447, 318, 438)(290, 410, 319, 439, 347, 467, 328, 448, 320, 440)(291, 411, 321, 441, 348, 468, 329, 449, 299, 419)(294, 414, 323, 443, 322, 442, 349, 469, 324, 444)(303, 423, 332, 452, 311, 431, 342, 462, 333, 453)(304, 424, 334, 454, 352, 472, 343, 463, 335, 455)(305, 425, 336, 456, 346, 466, 344, 464, 313, 433)(308, 428, 338, 458, 337, 457, 353, 473, 339, 459)(345, 465, 355, 475, 359, 479, 356, 476, 350, 470)(351, 471, 357, 477, 360, 480, 358, 478, 354, 474)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 260)(11, 245)(12, 263)(13, 246)(14, 266)(15, 267)(16, 262)(17, 248)(18, 264)(19, 273)(20, 250)(21, 277)(22, 256)(23, 252)(24, 258)(25, 283)(26, 254)(27, 255)(28, 289)(29, 290)(30, 291)(31, 288)(32, 294)(33, 259)(34, 297)(35, 295)(36, 299)(37, 261)(38, 303)(39, 304)(40, 305)(41, 302)(42, 308)(43, 265)(44, 311)(45, 309)(46, 313)(47, 310)(48, 271)(49, 268)(50, 269)(51, 270)(52, 314)(53, 322)(54, 272)(55, 275)(56, 301)(57, 274)(58, 328)(59, 276)(60, 306)(61, 296)(62, 281)(63, 278)(64, 279)(65, 280)(66, 300)(67, 337)(68, 282)(69, 285)(70, 287)(71, 284)(72, 343)(73, 286)(74, 292)(75, 342)(76, 345)(77, 346)(78, 341)(79, 334)(80, 336)(81, 335)(82, 293)(83, 344)(84, 339)(85, 350)(86, 333)(87, 330)(88, 298)(89, 338)(90, 327)(91, 351)(92, 348)(93, 326)(94, 319)(95, 321)(96, 320)(97, 307)(98, 329)(99, 324)(100, 354)(101, 318)(102, 315)(103, 312)(104, 323)(105, 316)(106, 317)(107, 356)(108, 332)(109, 355)(110, 325)(111, 331)(112, 358)(113, 357)(114, 340)(115, 349)(116, 347)(117, 353)(118, 352)(119, 360)(120, 359)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.918
Graph:: bipartite
	v = 84 e = 240 f = 140
	degree seq :: [ 4^60, 10^24 ]

E9.916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^5, Y2^6, Y2^-2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-2, (Y2 * Y1^-1)^4, (Y1 * Y2^-2)^3 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 22, 142, 28, 148, 11, 131)(5, 125, 14, 134, 33, 153, 19, 139, 7, 127)(8, 128, 20, 140, 45, 165, 38, 158, 16, 136)(10, 130, 24, 144, 52, 172, 57, 177, 26, 146)(12, 132, 29, 149, 53, 173, 64, 184, 31, 151)(15, 135, 36, 156, 70, 190, 37, 157, 34, 154)(17, 137, 39, 159, 74, 194, 66, 186, 32, 152)(18, 138, 41, 161, 23, 143, 50, 170, 43, 163)(21, 141, 48, 168, 84, 204, 65, 185, 46, 166)(25, 145, 54, 174, 91, 211, 94, 214, 55, 175)(27, 147, 58, 178, 92, 212, 81, 201, 47, 167)(30, 150, 61, 181, 40, 160, 76, 196, 62, 182)(35, 155, 63, 183, 99, 219, 93, 213, 67, 187)(42, 162, 77, 197, 103, 223, 108, 228, 78, 198)(44, 164, 68, 188, 102, 222, 106, 226, 75, 195)(49, 169, 85, 205, 107, 227, 98, 218, 60, 180)(51, 171, 88, 208, 112, 232, 97, 217, 86, 206)(56, 176, 95, 215, 71, 191, 79, 199, 87, 207)(59, 179, 83, 203, 80, 200, 100, 220, 69, 189)(72, 192, 104, 224, 110, 230, 116, 236, 105, 225)(73, 193, 82, 202, 109, 229, 101, 221, 90, 210)(89, 209, 111, 231, 117, 237, 115, 235, 96, 216)(113, 233, 119, 239, 120, 240, 118, 238, 114, 234)(241, 361, 243, 363, 250, 370, 265, 385, 255, 375, 245, 365)(242, 362, 247, 367, 258, 378, 282, 402, 261, 381, 248, 368)(244, 364, 252, 372, 270, 390, 291, 411, 263, 383, 249, 369)(246, 366, 256, 376, 277, 397, 312, 432, 280, 400, 257, 377)(251, 371, 267, 387, 299, 419, 330, 450, 293, 413, 264, 384)(253, 373, 272, 392, 305, 425, 329, 449, 292, 412, 269, 389)(254, 374, 274, 394, 278, 398, 313, 433, 309, 429, 275, 395)(259, 379, 284, 404, 320, 440, 289, 409, 262, 382, 281, 401)(260, 380, 286, 406, 306, 426, 325, 445, 323, 443, 287, 407)(266, 386, 296, 416, 288, 408, 318, 438, 332, 452, 294, 414)(268, 388, 300, 420, 337, 457, 353, 473, 331, 451, 298, 418)(271, 391, 303, 423, 340, 460, 315, 435, 279, 399, 301, 421)(273, 393, 307, 427, 334, 454, 354, 474, 343, 463, 308, 428)(276, 396, 295, 415, 333, 453, 328, 448, 302, 422, 311, 431)(283, 403, 319, 439, 316, 436, 345, 465, 342, 462, 317, 437)(285, 405, 321, 441, 348, 468, 358, 478, 350, 470, 322, 442)(290, 410, 326, 446, 338, 458, 351, 471, 324, 444, 327, 447)(297, 417, 336, 456, 349, 469, 344, 464, 310, 430, 335, 455)(304, 424, 341, 461, 355, 475, 359, 479, 352, 472, 339, 459)(314, 434, 346, 466, 356, 476, 360, 480, 357, 477, 347, 467)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 256)(7, 258)(8, 242)(9, 244)(10, 265)(11, 267)(12, 270)(13, 272)(14, 274)(15, 245)(16, 277)(17, 246)(18, 282)(19, 284)(20, 286)(21, 248)(22, 281)(23, 249)(24, 251)(25, 255)(26, 296)(27, 299)(28, 300)(29, 253)(30, 291)(31, 303)(32, 305)(33, 307)(34, 278)(35, 254)(36, 295)(37, 312)(38, 313)(39, 301)(40, 257)(41, 259)(42, 261)(43, 319)(44, 320)(45, 321)(46, 306)(47, 260)(48, 318)(49, 262)(50, 326)(51, 263)(52, 269)(53, 264)(54, 266)(55, 333)(56, 288)(57, 336)(58, 268)(59, 330)(60, 337)(61, 271)(62, 311)(63, 340)(64, 341)(65, 329)(66, 325)(67, 334)(68, 273)(69, 275)(70, 335)(71, 276)(72, 280)(73, 309)(74, 346)(75, 279)(76, 345)(77, 283)(78, 332)(79, 316)(80, 289)(81, 348)(82, 285)(83, 287)(84, 327)(85, 323)(86, 338)(87, 290)(88, 302)(89, 292)(90, 293)(91, 298)(92, 294)(93, 328)(94, 354)(95, 297)(96, 349)(97, 353)(98, 351)(99, 304)(100, 315)(101, 355)(102, 317)(103, 308)(104, 310)(105, 342)(106, 356)(107, 314)(108, 358)(109, 344)(110, 322)(111, 324)(112, 339)(113, 331)(114, 343)(115, 359)(116, 360)(117, 347)(118, 350)(119, 352)(120, 357)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 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 E9.917
Graph:: bipartite
	v = 44 e = 240 f = 180
	degree seq :: [ 10^24, 12^20 ]

E9.917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3 * Y2)^5, Y3^-3 * Y2 * Y3^3 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^6, (Y3^-1 * Y2 * Y3^-1)^4 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362)(243, 363, 247, 367)(244, 364, 249, 369)(245, 365, 251, 371)(246, 366, 253, 373)(248, 368, 257, 377)(250, 370, 261, 381)(252, 372, 264, 384)(254, 374, 268, 388)(255, 375, 269, 389)(256, 376, 263, 383)(258, 378, 274, 394)(259, 379, 266, 386)(260, 380, 276, 396)(262, 382, 280, 400)(265, 385, 285, 405)(267, 387, 287, 407)(270, 390, 292, 412)(271, 391, 294, 414)(272, 392, 295, 415)(273, 393, 291, 411)(275, 395, 300, 420)(277, 397, 303, 423)(278, 398, 302, 422)(279, 399, 305, 425)(281, 401, 308, 428)(282, 402, 310, 430)(283, 403, 311, 431)(284, 404, 307, 427)(286, 406, 316, 436)(288, 408, 319, 439)(289, 409, 318, 438)(290, 410, 321, 441)(293, 413, 325, 445)(296, 416, 322, 442)(297, 417, 329, 449)(298, 418, 330, 450)(299, 419, 327, 447)(301, 421, 328, 448)(304, 424, 333, 453)(306, 426, 312, 432)(309, 429, 336, 456)(313, 433, 340, 460)(314, 434, 341, 461)(315, 435, 338, 458)(317, 437, 339, 459)(320, 440, 344, 464)(323, 443, 345, 465)(324, 444, 346, 466)(326, 446, 337, 457)(331, 451, 342, 462)(332, 452, 348, 468)(334, 454, 352, 472)(335, 455, 353, 473)(343, 463, 355, 475)(347, 467, 358, 478)(349, 469, 357, 477)(350, 470, 356, 476)(351, 471, 354, 474)(359, 479, 360, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 255)(8, 258)(9, 259)(10, 244)(11, 262)(12, 265)(13, 266)(14, 246)(15, 270)(16, 247)(17, 272)(18, 250)(19, 275)(20, 249)(21, 278)(22, 281)(23, 251)(24, 283)(25, 254)(26, 286)(27, 253)(28, 289)(29, 287)(30, 293)(31, 256)(32, 296)(33, 257)(34, 298)(35, 301)(36, 302)(37, 260)(38, 304)(39, 261)(40, 276)(41, 309)(42, 263)(43, 312)(44, 264)(45, 314)(46, 317)(47, 318)(48, 267)(49, 320)(50, 268)(51, 269)(52, 324)(53, 271)(54, 326)(55, 310)(56, 328)(57, 273)(58, 315)(59, 274)(60, 321)(61, 277)(62, 332)(63, 308)(64, 325)(65, 330)(66, 279)(67, 280)(68, 335)(69, 282)(70, 337)(71, 294)(72, 339)(73, 284)(74, 299)(75, 285)(76, 305)(77, 288)(78, 343)(79, 292)(80, 336)(81, 341)(82, 290)(83, 291)(84, 303)(85, 306)(86, 347)(87, 295)(88, 297)(89, 349)(90, 345)(91, 300)(92, 334)(93, 346)(94, 307)(95, 319)(96, 322)(97, 354)(98, 311)(99, 313)(100, 356)(101, 352)(102, 316)(103, 323)(104, 353)(105, 357)(106, 329)(107, 355)(108, 327)(109, 359)(110, 331)(111, 333)(112, 350)(113, 340)(114, 348)(115, 338)(116, 360)(117, 342)(118, 344)(119, 351)(120, 358)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 10, 12 ), ( 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.916
Graph:: simple bipartite
	v = 180 e = 240 f = 44
	degree seq :: [ 2^120, 4^60 ]

E9.918 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y1^6, (Y1^-1 * Y3 * Y1 * Y3)^2, (Y3 * Y1^-1)^5, Y3 * Y1^-3 * Y3 * Y1^3 * Y3 * Y1^-3, (Y3 * Y1^-2)^4 ]
Map:: polytopal
	R = (1, 121, 2, 122, 5, 125, 11, 131, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 29, 149, 18, 138, 8, 128)(6, 126, 13, 133, 25, 145, 46, 166, 28, 148, 14, 134)(9, 129, 19, 139, 35, 155, 60, 180, 37, 157, 20, 140)(12, 132, 23, 143, 42, 162, 71, 191, 45, 165, 24, 144)(16, 136, 31, 151, 54, 174, 80, 200, 49, 169, 27, 147)(17, 137, 32, 152, 56, 176, 87, 207, 57, 177, 33, 153)(21, 141, 38, 158, 64, 184, 76, 196, 66, 186, 39, 159)(22, 142, 40, 160, 67, 187, 51, 171, 70, 190, 41, 161)(26, 146, 48, 168, 79, 199, 100, 220, 74, 194, 44, 164)(30, 150, 52, 172, 83, 203, 105, 225, 85, 205, 53, 173)(34, 154, 58, 178, 89, 209, 98, 218, 72, 192, 59, 179)(36, 156, 62, 182, 92, 212, 106, 226, 84, 204, 55, 175)(43, 163, 73, 193, 99, 219, 114, 234, 96, 216, 69, 189)(47, 167, 77, 197, 63, 183, 86, 206, 103, 223, 78, 198)(50, 170, 81, 201, 104, 224, 112, 232, 94, 214, 82, 202)(61, 181, 90, 210, 97, 217, 115, 235, 110, 230, 91, 211)(65, 185, 68, 188, 95, 215, 113, 233, 108, 228, 88, 208)(75, 195, 101, 221, 116, 236, 111, 231, 93, 213, 102, 222)(107, 227, 119, 239, 120, 240, 118, 238, 109, 229, 117, 237)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 241)(4, 249)(5, 252)(6, 242)(7, 256)(8, 257)(9, 244)(10, 261)(11, 262)(12, 245)(13, 266)(14, 267)(15, 270)(16, 247)(17, 248)(18, 274)(19, 272)(20, 276)(21, 250)(22, 251)(23, 283)(24, 284)(25, 287)(26, 253)(27, 254)(28, 290)(29, 291)(30, 255)(31, 295)(32, 259)(33, 288)(34, 258)(35, 301)(36, 260)(37, 303)(38, 302)(39, 305)(40, 308)(41, 309)(42, 312)(43, 263)(44, 264)(45, 315)(46, 316)(47, 265)(48, 273)(49, 313)(50, 268)(51, 269)(52, 322)(53, 324)(54, 326)(55, 271)(56, 328)(57, 318)(58, 319)(59, 330)(60, 311)(61, 275)(62, 278)(63, 277)(64, 333)(65, 279)(66, 323)(67, 334)(68, 280)(69, 281)(70, 337)(71, 300)(72, 282)(73, 289)(74, 335)(75, 285)(76, 286)(77, 342)(78, 297)(79, 298)(80, 338)(81, 339)(82, 292)(83, 306)(84, 293)(85, 347)(86, 294)(87, 345)(88, 296)(89, 349)(90, 299)(91, 348)(92, 336)(93, 304)(94, 307)(95, 314)(96, 332)(97, 310)(98, 320)(99, 321)(100, 352)(101, 353)(102, 317)(103, 357)(104, 358)(105, 327)(106, 355)(107, 325)(108, 331)(109, 329)(110, 359)(111, 354)(112, 340)(113, 341)(114, 351)(115, 346)(116, 360)(117, 343)(118, 344)(119, 350)(120, 356)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.915
Graph:: simple bipartite
	v = 140 e = 240 f = 84
	degree seq :: [ 2^120, 12^20 ]

E9.919 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|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 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^5, (Y2^-1 * Y1)^5, Y2^-3 * Y1 * Y2^3 * Y1 * Y2^-3 * Y1, (Y2^-1 * Y1 * Y2^-1)^4 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 24, 144)(14, 134, 28, 148)(15, 135, 29, 149)(16, 136, 23, 143)(18, 138, 34, 154)(19, 139, 26, 146)(20, 140, 36, 156)(22, 142, 40, 160)(25, 145, 45, 165)(27, 147, 47, 167)(30, 150, 52, 172)(31, 151, 54, 174)(32, 152, 55, 175)(33, 153, 51, 171)(35, 155, 60, 180)(37, 157, 63, 183)(38, 158, 62, 182)(39, 159, 65, 185)(41, 161, 68, 188)(42, 162, 70, 190)(43, 163, 71, 191)(44, 164, 67, 187)(46, 166, 76, 196)(48, 168, 79, 199)(49, 169, 78, 198)(50, 170, 81, 201)(53, 173, 85, 205)(56, 176, 82, 202)(57, 177, 89, 209)(58, 178, 90, 210)(59, 179, 87, 207)(61, 181, 88, 208)(64, 184, 93, 213)(66, 186, 72, 192)(69, 189, 96, 216)(73, 193, 100, 220)(74, 194, 101, 221)(75, 195, 98, 218)(77, 197, 99, 219)(80, 200, 104, 224)(83, 203, 105, 225)(84, 204, 106, 226)(86, 206, 97, 217)(91, 211, 102, 222)(92, 212, 108, 228)(94, 214, 112, 232)(95, 215, 113, 233)(103, 223, 115, 235)(107, 227, 118, 238)(109, 229, 117, 237)(110, 230, 116, 236)(111, 231, 114, 234)(119, 239, 120, 240)(241, 361, 243, 363, 248, 368, 258, 378, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 265, 385, 254, 374, 246, 366)(247, 367, 255, 375, 270, 390, 293, 413, 271, 391, 256, 376)(249, 369, 259, 379, 275, 395, 301, 421, 277, 397, 260, 380)(251, 371, 262, 382, 281, 401, 309, 429, 282, 402, 263, 383)(253, 373, 266, 386, 286, 406, 317, 437, 288, 408, 267, 387)(257, 377, 272, 392, 296, 416, 328, 448, 297, 417, 273, 393)(261, 381, 278, 398, 304, 424, 325, 445, 306, 426, 279, 399)(264, 384, 283, 403, 312, 432, 339, 459, 313, 433, 284, 404)(268, 388, 289, 409, 320, 440, 336, 456, 322, 442, 290, 410)(269, 389, 287, 407, 318, 438, 343, 463, 323, 443, 291, 411)(274, 394, 298, 418, 315, 435, 285, 405, 314, 434, 299, 419)(276, 396, 302, 422, 332, 452, 334, 454, 307, 427, 280, 400)(292, 412, 324, 444, 303, 423, 308, 428, 335, 455, 319, 439)(294, 414, 326, 446, 347, 467, 355, 475, 338, 458, 311, 431)(295, 415, 310, 430, 337, 457, 354, 474, 348, 468, 327, 447)(300, 420, 321, 441, 341, 461, 352, 472, 350, 470, 331, 451)(305, 425, 330, 450, 345, 465, 357, 477, 342, 462, 316, 436)(329, 449, 349, 469, 359, 479, 351, 471, 333, 453, 346, 466)(340, 460, 356, 476, 360, 480, 358, 478, 344, 464, 353, 473)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 261)(11, 245)(12, 264)(13, 246)(14, 268)(15, 269)(16, 263)(17, 248)(18, 274)(19, 266)(20, 276)(21, 250)(22, 280)(23, 256)(24, 252)(25, 285)(26, 259)(27, 287)(28, 254)(29, 255)(30, 292)(31, 294)(32, 295)(33, 291)(34, 258)(35, 300)(36, 260)(37, 303)(38, 302)(39, 305)(40, 262)(41, 308)(42, 310)(43, 311)(44, 307)(45, 265)(46, 316)(47, 267)(48, 319)(49, 318)(50, 321)(51, 273)(52, 270)(53, 325)(54, 271)(55, 272)(56, 322)(57, 329)(58, 330)(59, 327)(60, 275)(61, 328)(62, 278)(63, 277)(64, 333)(65, 279)(66, 312)(67, 284)(68, 281)(69, 336)(70, 282)(71, 283)(72, 306)(73, 340)(74, 341)(75, 338)(76, 286)(77, 339)(78, 289)(79, 288)(80, 344)(81, 290)(82, 296)(83, 345)(84, 346)(85, 293)(86, 337)(87, 299)(88, 301)(89, 297)(90, 298)(91, 342)(92, 348)(93, 304)(94, 352)(95, 353)(96, 309)(97, 326)(98, 315)(99, 317)(100, 313)(101, 314)(102, 331)(103, 355)(104, 320)(105, 323)(106, 324)(107, 358)(108, 332)(109, 357)(110, 356)(111, 354)(112, 334)(113, 335)(114, 351)(115, 343)(116, 350)(117, 349)(118, 347)(119, 360)(120, 359)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.920
Graph:: bipartite
	v = 80 e = 240 f = 144
	degree seq :: [ 4^60, 12^20 ]

E9.920 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, (Y3 * Y1^-1)^4, (Y1 * Y3^-2)^3, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 22, 142, 28, 148, 11, 131)(5, 125, 14, 134, 33, 153, 19, 139, 7, 127)(8, 128, 20, 140, 45, 165, 38, 158, 16, 136)(10, 130, 24, 144, 52, 172, 57, 177, 26, 146)(12, 132, 29, 149, 53, 173, 64, 184, 31, 151)(15, 135, 36, 156, 70, 190, 37, 157, 34, 154)(17, 137, 39, 159, 74, 194, 66, 186, 32, 152)(18, 138, 41, 161, 23, 143, 50, 170, 43, 163)(21, 141, 48, 168, 84, 204, 65, 185, 46, 166)(25, 145, 54, 174, 91, 211, 94, 214, 55, 175)(27, 147, 58, 178, 92, 212, 81, 201, 47, 167)(30, 150, 61, 181, 40, 160, 76, 196, 62, 182)(35, 155, 63, 183, 99, 219, 93, 213, 67, 187)(42, 162, 77, 197, 103, 223, 108, 228, 78, 198)(44, 164, 68, 188, 102, 222, 106, 226, 75, 195)(49, 169, 85, 205, 107, 227, 98, 218, 60, 180)(51, 171, 88, 208, 112, 232, 97, 217, 86, 206)(56, 176, 95, 215, 71, 191, 79, 199, 87, 207)(59, 179, 83, 203, 80, 200, 100, 220, 69, 189)(72, 192, 104, 224, 110, 230, 116, 236, 105, 225)(73, 193, 82, 202, 109, 229, 101, 221, 90, 210)(89, 209, 111, 231, 117, 237, 115, 235, 96, 216)(113, 233, 119, 239, 120, 240, 118, 238, 114, 234)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 256)(7, 258)(8, 242)(9, 244)(10, 265)(11, 267)(12, 270)(13, 272)(14, 274)(15, 245)(16, 277)(17, 246)(18, 282)(19, 284)(20, 286)(21, 248)(22, 281)(23, 249)(24, 251)(25, 255)(26, 296)(27, 299)(28, 300)(29, 253)(30, 291)(31, 303)(32, 305)(33, 307)(34, 278)(35, 254)(36, 295)(37, 312)(38, 313)(39, 301)(40, 257)(41, 259)(42, 261)(43, 319)(44, 320)(45, 321)(46, 306)(47, 260)(48, 318)(49, 262)(50, 326)(51, 263)(52, 269)(53, 264)(54, 266)(55, 333)(56, 288)(57, 336)(58, 268)(59, 330)(60, 337)(61, 271)(62, 311)(63, 340)(64, 341)(65, 329)(66, 325)(67, 334)(68, 273)(69, 275)(70, 335)(71, 276)(72, 280)(73, 309)(74, 346)(75, 279)(76, 345)(77, 283)(78, 332)(79, 316)(80, 289)(81, 348)(82, 285)(83, 287)(84, 327)(85, 323)(86, 338)(87, 290)(88, 302)(89, 292)(90, 293)(91, 298)(92, 294)(93, 328)(94, 354)(95, 297)(96, 349)(97, 353)(98, 351)(99, 304)(100, 315)(101, 355)(102, 317)(103, 308)(104, 310)(105, 342)(106, 356)(107, 314)(108, 358)(109, 344)(110, 322)(111, 324)(112, 339)(113, 331)(114, 343)(115, 359)(116, 360)(117, 347)(118, 350)(119, 352)(120, 357)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.919
Graph:: simple bipartite
	v = 144 e = 240 f = 80
	degree seq :: [ 2^120, 10^24 ]

E9.921 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 6})
Quotient :: regular
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^6, (T1^-1 * T2 * T1^-2)^2, (T1^-1 * T2)^5 ]
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, 61, 44, 63, 41)(27, 42, 60, 39, 59, 43)(35, 52, 56, 37, 55, 53)(36, 54, 58, 38, 57, 48)(49, 67, 84, 66, 83, 68)(51, 69, 82, 65, 81, 70)(62, 77, 98, 76, 97, 78)(64, 79, 96, 75, 95, 80)(71, 87, 92, 73, 91, 88)(72, 89, 94, 74, 93, 90)(85, 103, 113, 102, 108, 104)(86, 105, 110, 101, 111, 99)(100, 112, 106, 109, 116, 107)(114, 118, 115, 119, 120, 117)
	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, 40)(41, 62)(42, 64)(43, 55)(45, 65)(46, 63)(47, 66)(50, 58)(52, 60)(53, 71)(54, 72)(56, 73)(57, 74)(59, 75)(61, 76)(67, 85)(68, 81)(69, 84)(70, 86)(77, 99)(78, 95)(79, 98)(80, 100)(82, 101)(83, 102)(87, 106)(88, 93)(89, 92)(90, 103)(91, 107)(94, 108)(96, 109)(97, 110)(104, 114)(105, 115)(111, 117)(112, 118)(113, 119)(116, 120)
	local type(s) :: { ( 5^6 ) }
Outer automorphisms :: reflexible
Dual of E9.922
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 20 e = 60 f = 24
	degree seq :: [ 6^20 ]

E9.922 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 6})
Quotient :: regular
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^5, (T2 * T1^-2 * T2 * T1^-1)^2, (T1 * T2)^6, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-2 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 33, 36, 19)(11, 21, 39, 42, 22)(15, 28, 51, 54, 29)(16, 30, 55, 40, 31)(20, 37, 63, 65, 38)(24, 44, 35, 62, 45)(25, 46, 72, 64, 47)(27, 49, 76, 78, 50)(32, 58, 85, 69, 43)(34, 60, 41, 67, 61)(48, 75, 97, 91, 66)(52, 70, 57, 74, 79)(53, 80, 101, 86, 81)(56, 71, 77, 99, 84)(59, 87, 103, 104, 88)(68, 93, 109, 106, 90)(73, 83, 94, 110, 96)(82, 89, 105, 112, 98)(92, 95, 107, 116, 108)(100, 114, 117, 111, 102)(113, 115, 119, 120, 118)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 32)(18, 34)(19, 35)(21, 40)(22, 41)(23, 43)(26, 48)(28, 52)(29, 53)(30, 56)(31, 57)(33, 59)(36, 49)(37, 64)(38, 51)(39, 66)(42, 68)(44, 70)(45, 71)(46, 73)(47, 74)(50, 77)(54, 82)(55, 83)(58, 86)(60, 79)(61, 89)(62, 81)(63, 90)(65, 87)(67, 92)(69, 94)(72, 95)(75, 84)(76, 98)(78, 100)(80, 88)(85, 102)(91, 107)(93, 96)(97, 111)(99, 113)(101, 115)(103, 108)(104, 114)(105, 106)(109, 117)(110, 118)(112, 119)(116, 120)
	local type(s) :: { ( 6^5 ) }
Outer automorphisms :: reflexible
Dual of E9.921
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 60 f = 20
	degree seq :: [ 5^24 ]

E9.923 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 6})
Quotient :: edge
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T1 * T2^-1 * T1 * T2^-2)^2, (T2 * T1)^6, T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1 * T2, T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1, (T2^2 * T1 * T2^-2 * T1)^3 ]
Map:: polytopal
	R = (1, 3, 8, 10, 4)(2, 5, 12, 14, 6)(7, 15, 28, 30, 16)(9, 18, 34, 36, 19)(11, 21, 40, 42, 22)(13, 24, 46, 48, 25)(17, 31, 56, 58, 32)(20, 37, 64, 65, 38)(23, 43, 71, 73, 44)(26, 49, 79, 80, 50)(27, 51, 35, 62, 52)(29, 53, 82, 63, 54)(33, 59, 57, 85, 60)(39, 66, 47, 77, 67)(41, 68, 91, 78, 69)(45, 74, 72, 93, 75)(55, 83, 99, 100, 84)(61, 88, 104, 105, 89)(70, 87, 103, 108, 92)(76, 95, 111, 97, 81)(86, 102, 115, 106, 90)(94, 110, 118, 112, 96)(98, 113, 119, 114, 101)(107, 116, 120, 117, 109)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 137)(130, 140)(132, 143)(134, 146)(135, 147)(136, 149)(138, 153)(139, 155)(141, 159)(142, 161)(144, 165)(145, 167)(148, 170)(150, 175)(151, 168)(152, 177)(154, 181)(156, 163)(157, 183)(158, 160)(162, 190)(164, 192)(166, 196)(169, 198)(171, 186)(172, 194)(173, 201)(174, 197)(176, 204)(178, 206)(179, 187)(180, 207)(182, 189)(184, 210)(185, 208)(188, 209)(191, 212)(193, 214)(195, 203)(199, 216)(200, 215)(202, 218)(205, 221)(211, 227)(213, 229)(217, 222)(219, 232)(220, 233)(223, 226)(224, 234)(225, 230)(228, 236)(231, 237)(235, 238)(239, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 12 ), ( 12^5 ) }
Outer automorphisms :: reflexible
Dual of E9.927
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 120 f = 20
	degree seq :: [ 2^60, 5^24 ]

E9.924 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 6})
Quotient :: edge
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T1^5, (T1^-1 * T2^2)^2, T2^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 15, 5)(2, 7, 18, 39, 21, 8)(4, 12, 29, 46, 23, 9)(6, 16, 34, 60, 37, 17)(11, 26, 14, 33, 48, 24)(13, 31, 45, 72, 53, 28)(19, 40, 20, 42, 65, 38)(22, 43, 68, 54, 30, 44)(27, 51, 75, 58, 77, 49)(32, 50, 74, 47, 73, 57)(35, 61, 36, 63, 85, 59)(41, 66, 89, 64, 88, 67)(52, 80, 95, 71, 56, 81)(55, 82, 92, 69, 93, 70)(62, 86, 104, 84, 103, 87)(76, 99, 114, 98, 79, 100)(78, 101, 83, 96, 113, 97)(90, 109, 91, 107, 118, 108)(94, 111, 119, 110, 102, 112)(105, 117, 106, 115, 120, 116)(121, 122, 126, 133, 124)(123, 129, 142, 147, 131)(125, 134, 152, 139, 127)(128, 140, 161, 155, 136)(130, 144, 167, 162, 141)(132, 148, 172, 175, 150)(135, 149, 174, 178, 153)(137, 156, 182, 176, 151)(138, 158, 184, 183, 157)(143, 165, 191, 189, 163)(145, 159, 180, 192, 166)(146, 169, 196, 198, 170)(154, 179, 204, 200, 173)(160, 177, 203, 210, 186)(164, 190, 214, 199, 171)(168, 195, 218, 216, 193)(181, 187, 211, 225, 206)(185, 194, 217, 227, 208)(188, 212, 230, 219, 197)(201, 207, 226, 222, 202)(205, 209, 228, 235, 223)(213, 215, 224, 236, 231)(220, 232, 237, 229, 221)(233, 234, 239, 240, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^5 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E9.928
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 120 f = 60
	degree seq :: [ 5^24, 6^20 ]

E9.925 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 6})
Quotient :: edge
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2 * T1^-2)^2, (T2 * T1^-1)^5 ]
Map:: polytopal
	R = (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, 40)(41, 62)(42, 64)(43, 55)(45, 65)(46, 63)(47, 66)(50, 58)(52, 60)(53, 71)(54, 72)(56, 73)(57, 74)(59, 75)(61, 76)(67, 85)(68, 81)(69, 84)(70, 86)(77, 99)(78, 95)(79, 98)(80, 100)(82, 101)(83, 102)(87, 106)(88, 93)(89, 92)(90, 103)(91, 107)(94, 108)(96, 109)(97, 110)(104, 114)(105, 115)(111, 117)(112, 118)(113, 119)(116, 120)(121, 122, 125, 131, 130, 124)(123, 127, 135, 142, 138, 128)(126, 133, 145, 141, 148, 134)(129, 139, 144, 132, 143, 140)(136, 150, 167, 154, 170, 151)(137, 152, 166, 149, 165, 153)(146, 160, 181, 164, 183, 161)(147, 162, 180, 159, 179, 163)(155, 172, 176, 157, 175, 173)(156, 174, 178, 158, 177, 168)(169, 187, 204, 186, 203, 188)(171, 189, 202, 185, 201, 190)(182, 197, 218, 196, 217, 198)(184, 199, 216, 195, 215, 200)(191, 207, 212, 193, 211, 208)(192, 209, 214, 194, 213, 210)(205, 223, 233, 222, 228, 224)(206, 225, 230, 221, 231, 219)(220, 232, 226, 229, 236, 227)(234, 238, 235, 239, 240, 237)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10, 10 ), ( 10^6 ) }
Outer automorphisms :: reflexible
Dual of E9.926
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 120 f = 24
	degree seq :: [ 2^60, 6^20 ]

E9.926 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 6})
Quotient :: loop
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T1 * T2^-1 * T1 * T2^-2)^2, (T2 * T1)^6, T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1 * T2, T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1, (T2^2 * T1 * T2^-2 * T1)^3 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 14, 134, 6, 126)(7, 127, 15, 135, 28, 148, 30, 150, 16, 136)(9, 129, 18, 138, 34, 154, 36, 156, 19, 139)(11, 131, 21, 141, 40, 160, 42, 162, 22, 142)(13, 133, 24, 144, 46, 166, 48, 168, 25, 145)(17, 137, 31, 151, 56, 176, 58, 178, 32, 152)(20, 140, 37, 157, 64, 184, 65, 185, 38, 158)(23, 143, 43, 163, 71, 191, 73, 193, 44, 164)(26, 146, 49, 169, 79, 199, 80, 200, 50, 170)(27, 147, 51, 171, 35, 155, 62, 182, 52, 172)(29, 149, 53, 173, 82, 202, 63, 183, 54, 174)(33, 153, 59, 179, 57, 177, 85, 205, 60, 180)(39, 159, 66, 186, 47, 167, 77, 197, 67, 187)(41, 161, 68, 188, 91, 211, 78, 198, 69, 189)(45, 165, 74, 194, 72, 192, 93, 213, 75, 195)(55, 175, 83, 203, 99, 219, 100, 220, 84, 204)(61, 181, 88, 208, 104, 224, 105, 225, 89, 209)(70, 190, 87, 207, 103, 223, 108, 228, 92, 212)(76, 196, 95, 215, 111, 231, 97, 217, 81, 201)(86, 206, 102, 222, 115, 235, 106, 226, 90, 210)(94, 214, 110, 230, 118, 238, 112, 232, 96, 216)(98, 218, 113, 233, 119, 239, 114, 234, 101, 221)(107, 227, 116, 236, 120, 240, 117, 237, 109, 229)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 137)(9, 124)(10, 140)(11, 125)(12, 143)(13, 126)(14, 146)(15, 147)(16, 149)(17, 128)(18, 153)(19, 155)(20, 130)(21, 159)(22, 161)(23, 132)(24, 165)(25, 167)(26, 134)(27, 135)(28, 170)(29, 136)(30, 175)(31, 168)(32, 177)(33, 138)(34, 181)(35, 139)(36, 163)(37, 183)(38, 160)(39, 141)(40, 158)(41, 142)(42, 190)(43, 156)(44, 192)(45, 144)(46, 196)(47, 145)(48, 151)(49, 198)(50, 148)(51, 186)(52, 194)(53, 201)(54, 197)(55, 150)(56, 204)(57, 152)(58, 206)(59, 187)(60, 207)(61, 154)(62, 189)(63, 157)(64, 210)(65, 208)(66, 171)(67, 179)(68, 209)(69, 182)(70, 162)(71, 212)(72, 164)(73, 214)(74, 172)(75, 203)(76, 166)(77, 174)(78, 169)(79, 216)(80, 215)(81, 173)(82, 218)(83, 195)(84, 176)(85, 221)(86, 178)(87, 180)(88, 185)(89, 188)(90, 184)(91, 227)(92, 191)(93, 229)(94, 193)(95, 200)(96, 199)(97, 222)(98, 202)(99, 232)(100, 233)(101, 205)(102, 217)(103, 226)(104, 234)(105, 230)(106, 223)(107, 211)(108, 236)(109, 213)(110, 225)(111, 237)(112, 219)(113, 220)(114, 224)(115, 238)(116, 228)(117, 231)(118, 235)(119, 240)(120, 239)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.925
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 120 f = 80
	degree seq :: [ 10^24 ]

E9.927 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 6})
Quotient :: loop
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T1^5, (T1^-1 * T2^2)^2, T2^6 ]
Map::
	R = (1, 121, 3, 123, 10, 130, 25, 145, 15, 135, 5, 125)(2, 122, 7, 127, 18, 138, 39, 159, 21, 141, 8, 128)(4, 124, 12, 132, 29, 149, 46, 166, 23, 143, 9, 129)(6, 126, 16, 136, 34, 154, 60, 180, 37, 157, 17, 137)(11, 131, 26, 146, 14, 134, 33, 153, 48, 168, 24, 144)(13, 133, 31, 151, 45, 165, 72, 192, 53, 173, 28, 148)(19, 139, 40, 160, 20, 140, 42, 162, 65, 185, 38, 158)(22, 142, 43, 163, 68, 188, 54, 174, 30, 150, 44, 164)(27, 147, 51, 171, 75, 195, 58, 178, 77, 197, 49, 169)(32, 152, 50, 170, 74, 194, 47, 167, 73, 193, 57, 177)(35, 155, 61, 181, 36, 156, 63, 183, 85, 205, 59, 179)(41, 161, 66, 186, 89, 209, 64, 184, 88, 208, 67, 187)(52, 172, 80, 200, 95, 215, 71, 191, 56, 176, 81, 201)(55, 175, 82, 202, 92, 212, 69, 189, 93, 213, 70, 190)(62, 182, 86, 206, 104, 224, 84, 204, 103, 223, 87, 207)(76, 196, 99, 219, 114, 234, 98, 218, 79, 199, 100, 220)(78, 198, 101, 221, 83, 203, 96, 216, 113, 233, 97, 217)(90, 210, 109, 229, 91, 211, 107, 227, 118, 238, 108, 228)(94, 214, 111, 231, 119, 239, 110, 230, 102, 222, 112, 232)(105, 225, 117, 237, 106, 226, 115, 235, 120, 240, 116, 236)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 133)(7, 125)(8, 140)(9, 142)(10, 144)(11, 123)(12, 148)(13, 124)(14, 152)(15, 149)(16, 128)(17, 156)(18, 158)(19, 127)(20, 161)(21, 130)(22, 147)(23, 165)(24, 167)(25, 159)(26, 169)(27, 131)(28, 172)(29, 174)(30, 132)(31, 137)(32, 139)(33, 135)(34, 179)(35, 136)(36, 182)(37, 138)(38, 184)(39, 180)(40, 177)(41, 155)(42, 141)(43, 143)(44, 190)(45, 191)(46, 145)(47, 162)(48, 195)(49, 196)(50, 146)(51, 164)(52, 175)(53, 154)(54, 178)(55, 150)(56, 151)(57, 203)(58, 153)(59, 204)(60, 192)(61, 187)(62, 176)(63, 157)(64, 183)(65, 194)(66, 160)(67, 211)(68, 212)(69, 163)(70, 214)(71, 189)(72, 166)(73, 168)(74, 217)(75, 218)(76, 198)(77, 188)(78, 170)(79, 171)(80, 173)(81, 207)(82, 201)(83, 210)(84, 200)(85, 209)(86, 181)(87, 226)(88, 185)(89, 228)(90, 186)(91, 225)(92, 230)(93, 215)(94, 199)(95, 224)(96, 193)(97, 227)(98, 216)(99, 197)(100, 232)(101, 220)(102, 202)(103, 205)(104, 236)(105, 206)(106, 222)(107, 208)(108, 235)(109, 221)(110, 219)(111, 213)(112, 237)(113, 234)(114, 239)(115, 223)(116, 231)(117, 229)(118, 233)(119, 240)(120, 238)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E9.923
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 120 f = 84
	degree seq :: [ 12^20 ]

E9.928 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 6})
Quotient :: loop
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2 * T1^-2)^2, (T2 * T1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123)(2, 122, 6, 126)(4, 124, 9, 129)(5, 125, 12, 132)(7, 127, 16, 136)(8, 128, 17, 137)(10, 130, 21, 141)(11, 131, 22, 142)(13, 133, 26, 146)(14, 134, 27, 147)(15, 135, 29, 149)(18, 138, 34, 154)(19, 139, 35, 155)(20, 140, 36, 156)(23, 143, 37, 157)(24, 144, 38, 158)(25, 145, 39, 159)(28, 148, 44, 164)(30, 150, 48, 168)(31, 151, 49, 169)(32, 152, 51, 171)(33, 153, 40, 160)(41, 161, 62, 182)(42, 162, 64, 184)(43, 163, 55, 175)(45, 165, 65, 185)(46, 166, 63, 183)(47, 167, 66, 186)(50, 170, 58, 178)(52, 172, 60, 180)(53, 173, 71, 191)(54, 174, 72, 192)(56, 176, 73, 193)(57, 177, 74, 194)(59, 179, 75, 195)(61, 181, 76, 196)(67, 187, 85, 205)(68, 188, 81, 201)(69, 189, 84, 204)(70, 190, 86, 206)(77, 197, 99, 219)(78, 198, 95, 215)(79, 199, 98, 218)(80, 200, 100, 220)(82, 202, 101, 221)(83, 203, 102, 222)(87, 207, 106, 226)(88, 208, 93, 213)(89, 209, 92, 212)(90, 210, 103, 223)(91, 211, 107, 227)(94, 214, 108, 228)(96, 216, 109, 229)(97, 217, 110, 230)(104, 224, 114, 234)(105, 225, 115, 235)(111, 231, 117, 237)(112, 232, 118, 238)(113, 233, 119, 239)(116, 236, 120, 240)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 135)(8, 123)(9, 139)(10, 124)(11, 130)(12, 143)(13, 145)(14, 126)(15, 142)(16, 150)(17, 152)(18, 128)(19, 144)(20, 129)(21, 148)(22, 138)(23, 140)(24, 132)(25, 141)(26, 160)(27, 162)(28, 134)(29, 165)(30, 167)(31, 136)(32, 166)(33, 137)(34, 170)(35, 172)(36, 174)(37, 175)(38, 177)(39, 179)(40, 181)(41, 146)(42, 180)(43, 147)(44, 183)(45, 153)(46, 149)(47, 154)(48, 156)(49, 187)(50, 151)(51, 189)(52, 176)(53, 155)(54, 178)(55, 173)(56, 157)(57, 168)(58, 158)(59, 163)(60, 159)(61, 164)(62, 197)(63, 161)(64, 199)(65, 201)(66, 203)(67, 204)(68, 169)(69, 202)(70, 171)(71, 207)(72, 209)(73, 211)(74, 213)(75, 215)(76, 217)(77, 218)(78, 182)(79, 216)(80, 184)(81, 190)(82, 185)(83, 188)(84, 186)(85, 223)(86, 225)(87, 212)(88, 191)(89, 214)(90, 192)(91, 208)(92, 193)(93, 210)(94, 194)(95, 200)(96, 195)(97, 198)(98, 196)(99, 206)(100, 232)(101, 231)(102, 228)(103, 233)(104, 205)(105, 230)(106, 229)(107, 220)(108, 224)(109, 236)(110, 221)(111, 219)(112, 226)(113, 222)(114, 238)(115, 239)(116, 227)(117, 234)(118, 235)(119, 240)(120, 237)
	local type(s) :: { ( 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.924
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 60 e = 120 f = 44
	degree seq :: [ 4^60 ]

E9.929 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2^-2)^2, (Y3 * Y2^-1)^6, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2, (Y2^2 * Y1 * Y2^-2 * Y1)^3 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 20, 140)(12, 132, 23, 143)(14, 134, 26, 146)(15, 135, 27, 147)(16, 136, 29, 149)(18, 138, 33, 153)(19, 139, 35, 155)(21, 141, 39, 159)(22, 142, 41, 161)(24, 144, 45, 165)(25, 145, 47, 167)(28, 148, 50, 170)(30, 150, 55, 175)(31, 151, 48, 168)(32, 152, 57, 177)(34, 154, 61, 181)(36, 156, 43, 163)(37, 157, 63, 183)(38, 158, 40, 160)(42, 162, 70, 190)(44, 164, 72, 192)(46, 166, 76, 196)(49, 169, 78, 198)(51, 171, 66, 186)(52, 172, 74, 194)(53, 173, 81, 201)(54, 174, 77, 197)(56, 176, 84, 204)(58, 178, 86, 206)(59, 179, 67, 187)(60, 180, 87, 207)(62, 182, 69, 189)(64, 184, 90, 210)(65, 185, 88, 208)(68, 188, 89, 209)(71, 191, 92, 212)(73, 193, 94, 214)(75, 195, 83, 203)(79, 199, 96, 216)(80, 200, 95, 215)(82, 202, 98, 218)(85, 205, 101, 221)(91, 211, 107, 227)(93, 213, 109, 229)(97, 217, 102, 222)(99, 219, 112, 232)(100, 220, 113, 233)(103, 223, 106, 226)(104, 224, 114, 234)(105, 225, 110, 230)(108, 228, 116, 236)(111, 231, 117, 237)(115, 235, 118, 238)(119, 239, 120, 240)(241, 361, 243, 363, 248, 368, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 254, 374, 246, 366)(247, 367, 255, 375, 268, 388, 270, 390, 256, 376)(249, 369, 258, 378, 274, 394, 276, 396, 259, 379)(251, 371, 261, 381, 280, 400, 282, 402, 262, 382)(253, 373, 264, 384, 286, 406, 288, 408, 265, 385)(257, 377, 271, 391, 296, 416, 298, 418, 272, 392)(260, 380, 277, 397, 304, 424, 305, 425, 278, 398)(263, 383, 283, 403, 311, 431, 313, 433, 284, 404)(266, 386, 289, 409, 319, 439, 320, 440, 290, 410)(267, 387, 291, 411, 275, 395, 302, 422, 292, 412)(269, 389, 293, 413, 322, 442, 303, 423, 294, 414)(273, 393, 299, 419, 297, 417, 325, 445, 300, 420)(279, 399, 306, 426, 287, 407, 317, 437, 307, 427)(281, 401, 308, 428, 331, 451, 318, 438, 309, 429)(285, 405, 314, 434, 312, 432, 333, 453, 315, 435)(295, 415, 323, 443, 339, 459, 340, 460, 324, 444)(301, 421, 328, 448, 344, 464, 345, 465, 329, 449)(310, 430, 327, 447, 343, 463, 348, 468, 332, 452)(316, 436, 335, 455, 351, 471, 337, 457, 321, 441)(326, 446, 342, 462, 355, 475, 346, 466, 330, 450)(334, 454, 350, 470, 358, 478, 352, 472, 336, 456)(338, 458, 353, 473, 359, 479, 354, 474, 341, 461)(347, 467, 356, 476, 360, 480, 357, 477, 349, 469)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 260)(11, 245)(12, 263)(13, 246)(14, 266)(15, 267)(16, 269)(17, 248)(18, 273)(19, 275)(20, 250)(21, 279)(22, 281)(23, 252)(24, 285)(25, 287)(26, 254)(27, 255)(28, 290)(29, 256)(30, 295)(31, 288)(32, 297)(33, 258)(34, 301)(35, 259)(36, 283)(37, 303)(38, 280)(39, 261)(40, 278)(41, 262)(42, 310)(43, 276)(44, 312)(45, 264)(46, 316)(47, 265)(48, 271)(49, 318)(50, 268)(51, 306)(52, 314)(53, 321)(54, 317)(55, 270)(56, 324)(57, 272)(58, 326)(59, 307)(60, 327)(61, 274)(62, 309)(63, 277)(64, 330)(65, 328)(66, 291)(67, 299)(68, 329)(69, 302)(70, 282)(71, 332)(72, 284)(73, 334)(74, 292)(75, 323)(76, 286)(77, 294)(78, 289)(79, 336)(80, 335)(81, 293)(82, 338)(83, 315)(84, 296)(85, 341)(86, 298)(87, 300)(88, 305)(89, 308)(90, 304)(91, 347)(92, 311)(93, 349)(94, 313)(95, 320)(96, 319)(97, 342)(98, 322)(99, 352)(100, 353)(101, 325)(102, 337)(103, 346)(104, 354)(105, 350)(106, 343)(107, 331)(108, 356)(109, 333)(110, 345)(111, 357)(112, 339)(113, 340)(114, 344)(115, 358)(116, 348)(117, 351)(118, 355)(119, 360)(120, 359)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.932
Graph:: bipartite
	v = 84 e = 240 f = 140
	degree seq :: [ 4^60, 10^24 ]

E9.930 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^5, (Y2 * Y1^-1 * Y2)^2, Y2^6 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 22, 142, 27, 147, 11, 131)(5, 125, 14, 134, 32, 152, 19, 139, 7, 127)(8, 128, 20, 140, 41, 161, 35, 155, 16, 136)(10, 130, 24, 144, 47, 167, 42, 162, 21, 141)(12, 132, 28, 148, 52, 172, 55, 175, 30, 150)(15, 135, 29, 149, 54, 174, 58, 178, 33, 153)(17, 137, 36, 156, 62, 182, 56, 176, 31, 151)(18, 138, 38, 158, 64, 184, 63, 183, 37, 157)(23, 143, 45, 165, 71, 191, 69, 189, 43, 163)(25, 145, 39, 159, 60, 180, 72, 192, 46, 166)(26, 146, 49, 169, 76, 196, 78, 198, 50, 170)(34, 154, 59, 179, 84, 204, 80, 200, 53, 173)(40, 160, 57, 177, 83, 203, 90, 210, 66, 186)(44, 164, 70, 190, 94, 214, 79, 199, 51, 171)(48, 168, 75, 195, 98, 218, 96, 216, 73, 193)(61, 181, 67, 187, 91, 211, 105, 225, 86, 206)(65, 185, 74, 194, 97, 217, 107, 227, 88, 208)(68, 188, 92, 212, 110, 230, 99, 219, 77, 197)(81, 201, 87, 207, 106, 226, 102, 222, 82, 202)(85, 205, 89, 209, 108, 228, 115, 235, 103, 223)(93, 213, 95, 215, 104, 224, 116, 236, 111, 231)(100, 220, 112, 232, 117, 237, 109, 229, 101, 221)(113, 233, 114, 234, 119, 239, 120, 240, 118, 238)(241, 361, 243, 363, 250, 370, 265, 385, 255, 375, 245, 365)(242, 362, 247, 367, 258, 378, 279, 399, 261, 381, 248, 368)(244, 364, 252, 372, 269, 389, 286, 406, 263, 383, 249, 369)(246, 366, 256, 376, 274, 394, 300, 420, 277, 397, 257, 377)(251, 371, 266, 386, 254, 374, 273, 393, 288, 408, 264, 384)(253, 373, 271, 391, 285, 405, 312, 432, 293, 413, 268, 388)(259, 379, 280, 400, 260, 380, 282, 402, 305, 425, 278, 398)(262, 382, 283, 403, 308, 428, 294, 414, 270, 390, 284, 404)(267, 387, 291, 411, 315, 435, 298, 418, 317, 437, 289, 409)(272, 392, 290, 410, 314, 434, 287, 407, 313, 433, 297, 417)(275, 395, 301, 421, 276, 396, 303, 423, 325, 445, 299, 419)(281, 401, 306, 426, 329, 449, 304, 424, 328, 448, 307, 427)(292, 412, 320, 440, 335, 455, 311, 431, 296, 416, 321, 441)(295, 415, 322, 442, 332, 452, 309, 429, 333, 453, 310, 430)(302, 422, 326, 446, 344, 464, 324, 444, 343, 463, 327, 447)(316, 436, 339, 459, 354, 474, 338, 458, 319, 439, 340, 460)(318, 438, 341, 461, 323, 443, 336, 456, 353, 473, 337, 457)(330, 450, 349, 469, 331, 451, 347, 467, 358, 478, 348, 468)(334, 454, 351, 471, 359, 479, 350, 470, 342, 462, 352, 472)(345, 465, 357, 477, 346, 466, 355, 475, 360, 480, 356, 476)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 256)(7, 258)(8, 242)(9, 244)(10, 265)(11, 266)(12, 269)(13, 271)(14, 273)(15, 245)(16, 274)(17, 246)(18, 279)(19, 280)(20, 282)(21, 248)(22, 283)(23, 249)(24, 251)(25, 255)(26, 254)(27, 291)(28, 253)(29, 286)(30, 284)(31, 285)(32, 290)(33, 288)(34, 300)(35, 301)(36, 303)(37, 257)(38, 259)(39, 261)(40, 260)(41, 306)(42, 305)(43, 308)(44, 262)(45, 312)(46, 263)(47, 313)(48, 264)(49, 267)(50, 314)(51, 315)(52, 320)(53, 268)(54, 270)(55, 322)(56, 321)(57, 272)(58, 317)(59, 275)(60, 277)(61, 276)(62, 326)(63, 325)(64, 328)(65, 278)(66, 329)(67, 281)(68, 294)(69, 333)(70, 295)(71, 296)(72, 293)(73, 297)(74, 287)(75, 298)(76, 339)(77, 289)(78, 341)(79, 340)(80, 335)(81, 292)(82, 332)(83, 336)(84, 343)(85, 299)(86, 344)(87, 302)(88, 307)(89, 304)(90, 349)(91, 347)(92, 309)(93, 310)(94, 351)(95, 311)(96, 353)(97, 318)(98, 319)(99, 354)(100, 316)(101, 323)(102, 352)(103, 327)(104, 324)(105, 357)(106, 355)(107, 358)(108, 330)(109, 331)(110, 342)(111, 359)(112, 334)(113, 337)(114, 338)(115, 360)(116, 345)(117, 346)(118, 348)(119, 350)(120, 356)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 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 E9.931
Graph:: bipartite
	v = 44 e = 240 f = 180
	degree seq :: [ 10^24, 12^20 ]

E9.931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^6, Y3^6, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-3 * Y2 * Y3, (Y3 * Y2)^5, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362)(243, 363, 247, 367)(244, 364, 249, 369)(245, 365, 251, 371)(246, 366, 253, 373)(248, 368, 257, 377)(250, 370, 261, 381)(252, 372, 264, 384)(254, 374, 268, 388)(255, 375, 269, 389)(256, 376, 271, 391)(258, 378, 265, 385)(259, 379, 275, 395)(260, 380, 276, 396)(262, 382, 277, 397)(263, 383, 279, 399)(266, 386, 283, 403)(267, 387, 284, 404)(270, 390, 286, 406)(272, 392, 289, 409)(273, 393, 290, 410)(274, 394, 291, 411)(278, 398, 296, 416)(280, 400, 299, 419)(281, 401, 300, 420)(282, 402, 301, 421)(285, 405, 305, 425)(287, 407, 308, 428)(288, 408, 309, 429)(292, 412, 307, 427)(293, 413, 311, 431)(294, 414, 312, 432)(295, 415, 313, 433)(297, 417, 316, 436)(298, 418, 317, 437)(302, 422, 315, 435)(303, 423, 319, 439)(304, 424, 320, 440)(306, 426, 323, 443)(310, 430, 326, 446)(314, 434, 333, 453)(318, 438, 336, 456)(321, 441, 338, 458)(322, 442, 341, 461)(324, 444, 340, 460)(325, 445, 343, 463)(327, 447, 346, 466)(328, 448, 331, 451)(329, 449, 345, 465)(330, 450, 334, 454)(332, 452, 347, 467)(335, 455, 349, 469)(337, 457, 352, 472)(339, 459, 351, 471)(342, 462, 353, 473)(344, 464, 355, 475)(348, 468, 356, 476)(350, 470, 358, 478)(354, 474, 357, 477)(359, 479, 360, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 255)(8, 258)(9, 259)(10, 244)(11, 262)(12, 265)(13, 266)(14, 246)(15, 270)(16, 247)(17, 273)(18, 250)(19, 274)(20, 249)(21, 272)(22, 278)(23, 251)(24, 281)(25, 254)(26, 282)(27, 253)(28, 280)(29, 284)(30, 261)(31, 287)(32, 256)(33, 260)(34, 257)(35, 292)(36, 294)(37, 276)(38, 268)(39, 297)(40, 263)(41, 267)(42, 264)(43, 302)(44, 304)(45, 269)(46, 306)(47, 307)(48, 271)(49, 301)(50, 309)(51, 295)(52, 310)(53, 275)(54, 299)(55, 277)(56, 314)(57, 315)(58, 279)(59, 291)(60, 317)(61, 285)(62, 318)(63, 283)(64, 289)(65, 321)(66, 288)(67, 286)(68, 324)(69, 293)(70, 290)(71, 327)(72, 329)(73, 331)(74, 298)(75, 296)(76, 334)(77, 303)(78, 300)(79, 337)(80, 339)(81, 340)(82, 305)(83, 341)(84, 342)(85, 308)(86, 344)(87, 345)(88, 311)(89, 332)(90, 312)(91, 330)(92, 313)(93, 347)(94, 348)(95, 316)(96, 350)(97, 351)(98, 319)(99, 322)(100, 320)(101, 325)(102, 323)(103, 354)(104, 328)(105, 326)(106, 353)(107, 335)(108, 333)(109, 357)(110, 338)(111, 336)(112, 356)(113, 359)(114, 346)(115, 343)(116, 360)(117, 352)(118, 349)(119, 355)(120, 358)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 10, 12 ), ( 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.930
Graph:: simple bipartite
	v = 180 e = 240 f = 44
	degree seq :: [ 2^120, 4^60 ]

E9.932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^6, Y1^6, (Y1^-1 * Y3 * Y1^-2)^2, (Y3 * Y1^-1)^5 ]
Map:: polytopal
	R = (1, 121, 2, 122, 5, 125, 11, 131, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 22, 142, 18, 138, 8, 128)(6, 126, 13, 133, 25, 145, 21, 141, 28, 148, 14, 134)(9, 129, 19, 139, 24, 144, 12, 132, 23, 143, 20, 140)(16, 136, 30, 150, 47, 167, 34, 154, 50, 170, 31, 151)(17, 137, 32, 152, 46, 166, 29, 149, 45, 165, 33, 153)(26, 146, 40, 160, 61, 181, 44, 164, 63, 183, 41, 161)(27, 147, 42, 162, 60, 180, 39, 159, 59, 179, 43, 163)(35, 155, 52, 172, 56, 176, 37, 157, 55, 175, 53, 173)(36, 156, 54, 174, 58, 178, 38, 158, 57, 177, 48, 168)(49, 169, 67, 187, 84, 204, 66, 186, 83, 203, 68, 188)(51, 171, 69, 189, 82, 202, 65, 185, 81, 201, 70, 190)(62, 182, 77, 197, 98, 218, 76, 196, 97, 217, 78, 198)(64, 184, 79, 199, 96, 216, 75, 195, 95, 215, 80, 200)(71, 191, 87, 207, 92, 212, 73, 193, 91, 211, 88, 208)(72, 192, 89, 209, 94, 214, 74, 194, 93, 213, 90, 210)(85, 205, 103, 223, 113, 233, 102, 222, 108, 228, 104, 224)(86, 206, 105, 225, 110, 230, 101, 221, 111, 231, 99, 219)(100, 220, 112, 232, 106, 226, 109, 229, 116, 236, 107, 227)(114, 234, 118, 238, 115, 235, 119, 239, 120, 240, 117, 237)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 241)(4, 249)(5, 252)(6, 242)(7, 256)(8, 257)(9, 244)(10, 261)(11, 262)(12, 245)(13, 266)(14, 267)(15, 269)(16, 247)(17, 248)(18, 274)(19, 275)(20, 276)(21, 250)(22, 251)(23, 277)(24, 278)(25, 279)(26, 253)(27, 254)(28, 284)(29, 255)(30, 288)(31, 289)(32, 291)(33, 280)(34, 258)(35, 259)(36, 260)(37, 263)(38, 264)(39, 265)(40, 273)(41, 302)(42, 304)(43, 295)(44, 268)(45, 305)(46, 303)(47, 306)(48, 270)(49, 271)(50, 298)(51, 272)(52, 300)(53, 311)(54, 312)(55, 283)(56, 313)(57, 314)(58, 290)(59, 315)(60, 292)(61, 316)(62, 281)(63, 286)(64, 282)(65, 285)(66, 287)(67, 325)(68, 321)(69, 324)(70, 326)(71, 293)(72, 294)(73, 296)(74, 297)(75, 299)(76, 301)(77, 339)(78, 335)(79, 338)(80, 340)(81, 308)(82, 341)(83, 342)(84, 309)(85, 307)(86, 310)(87, 346)(88, 333)(89, 332)(90, 343)(91, 347)(92, 329)(93, 328)(94, 348)(95, 318)(96, 349)(97, 350)(98, 319)(99, 317)(100, 320)(101, 322)(102, 323)(103, 330)(104, 354)(105, 355)(106, 327)(107, 331)(108, 334)(109, 336)(110, 337)(111, 357)(112, 358)(113, 359)(114, 344)(115, 345)(116, 360)(117, 351)(118, 352)(119, 353)(120, 356)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.929
Graph:: simple bipartite
	v = 140 e = 240 f = 84
	degree seq :: [ 2^120, 12^20 ]

E9.933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^6, Y2^6, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-3 * Y1 * Y2, (Y3 * Y2^-1)^5, (Y2 * Y1)^5 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 24, 144)(14, 134, 28, 148)(15, 135, 29, 149)(16, 136, 31, 151)(18, 138, 25, 145)(19, 139, 35, 155)(20, 140, 36, 156)(22, 142, 37, 157)(23, 143, 39, 159)(26, 146, 43, 163)(27, 147, 44, 164)(30, 150, 46, 166)(32, 152, 49, 169)(33, 153, 50, 170)(34, 154, 51, 171)(38, 158, 56, 176)(40, 160, 59, 179)(41, 161, 60, 180)(42, 162, 61, 181)(45, 165, 65, 185)(47, 167, 68, 188)(48, 168, 69, 189)(52, 172, 67, 187)(53, 173, 71, 191)(54, 174, 72, 192)(55, 175, 73, 193)(57, 177, 76, 196)(58, 178, 77, 197)(62, 182, 75, 195)(63, 183, 79, 199)(64, 184, 80, 200)(66, 186, 83, 203)(70, 190, 86, 206)(74, 194, 93, 213)(78, 198, 96, 216)(81, 201, 98, 218)(82, 202, 101, 221)(84, 204, 100, 220)(85, 205, 103, 223)(87, 207, 106, 226)(88, 208, 91, 211)(89, 209, 105, 225)(90, 210, 94, 214)(92, 212, 107, 227)(95, 215, 109, 229)(97, 217, 112, 232)(99, 219, 111, 231)(102, 222, 113, 233)(104, 224, 115, 235)(108, 228, 116, 236)(110, 230, 118, 238)(114, 234, 117, 237)(119, 239, 120, 240)(241, 361, 243, 363, 248, 368, 258, 378, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 265, 385, 254, 374, 246, 366)(247, 367, 255, 375, 270, 390, 261, 381, 272, 392, 256, 376)(249, 369, 259, 379, 274, 394, 257, 377, 273, 393, 260, 380)(251, 371, 262, 382, 278, 398, 268, 388, 280, 400, 263, 383)(253, 373, 266, 386, 282, 402, 264, 384, 281, 401, 267, 387)(269, 389, 284, 404, 304, 424, 289, 409, 301, 421, 285, 405)(271, 391, 287, 407, 307, 427, 286, 406, 306, 426, 288, 408)(275, 395, 292, 412, 310, 430, 290, 410, 309, 429, 293, 413)(276, 396, 294, 414, 299, 419, 291, 411, 295, 415, 277, 397)(279, 399, 297, 417, 315, 435, 296, 416, 314, 434, 298, 418)(283, 403, 302, 422, 318, 438, 300, 420, 317, 437, 303, 423)(305, 425, 321, 441, 340, 460, 320, 440, 339, 459, 322, 442)(308, 428, 324, 444, 342, 462, 323, 443, 341, 461, 325, 445)(311, 431, 327, 447, 345, 465, 326, 446, 344, 464, 328, 448)(312, 432, 329, 449, 332, 452, 313, 433, 331, 451, 330, 450)(316, 436, 334, 454, 348, 468, 333, 453, 347, 467, 335, 455)(319, 439, 337, 457, 351, 471, 336, 456, 350, 470, 338, 458)(343, 463, 354, 474, 346, 466, 353, 473, 359, 479, 355, 475)(349, 469, 357, 477, 352, 472, 356, 476, 360, 480, 358, 478)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 261)(11, 245)(12, 264)(13, 246)(14, 268)(15, 269)(16, 271)(17, 248)(18, 265)(19, 275)(20, 276)(21, 250)(22, 277)(23, 279)(24, 252)(25, 258)(26, 283)(27, 284)(28, 254)(29, 255)(30, 286)(31, 256)(32, 289)(33, 290)(34, 291)(35, 259)(36, 260)(37, 262)(38, 296)(39, 263)(40, 299)(41, 300)(42, 301)(43, 266)(44, 267)(45, 305)(46, 270)(47, 308)(48, 309)(49, 272)(50, 273)(51, 274)(52, 307)(53, 311)(54, 312)(55, 313)(56, 278)(57, 316)(58, 317)(59, 280)(60, 281)(61, 282)(62, 315)(63, 319)(64, 320)(65, 285)(66, 323)(67, 292)(68, 287)(69, 288)(70, 326)(71, 293)(72, 294)(73, 295)(74, 333)(75, 302)(76, 297)(77, 298)(78, 336)(79, 303)(80, 304)(81, 338)(82, 341)(83, 306)(84, 340)(85, 343)(86, 310)(87, 346)(88, 331)(89, 345)(90, 334)(91, 328)(92, 347)(93, 314)(94, 330)(95, 349)(96, 318)(97, 352)(98, 321)(99, 351)(100, 324)(101, 322)(102, 353)(103, 325)(104, 355)(105, 329)(106, 327)(107, 332)(108, 356)(109, 335)(110, 358)(111, 339)(112, 337)(113, 342)(114, 357)(115, 344)(116, 348)(117, 354)(118, 350)(119, 360)(120, 359)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.934
Graph:: bipartite
	v = 80 e = 240 f = 144
	degree seq :: [ 4^60, 12^20 ]

E9.934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^2)^2, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 22, 142, 27, 147, 11, 131)(5, 125, 14, 134, 32, 152, 19, 139, 7, 127)(8, 128, 20, 140, 41, 161, 35, 155, 16, 136)(10, 130, 24, 144, 47, 167, 42, 162, 21, 141)(12, 132, 28, 148, 52, 172, 55, 175, 30, 150)(15, 135, 29, 149, 54, 174, 58, 178, 33, 153)(17, 137, 36, 156, 62, 182, 56, 176, 31, 151)(18, 138, 38, 158, 64, 184, 63, 183, 37, 157)(23, 143, 45, 165, 71, 191, 69, 189, 43, 163)(25, 145, 39, 159, 60, 180, 72, 192, 46, 166)(26, 146, 49, 169, 76, 196, 78, 198, 50, 170)(34, 154, 59, 179, 84, 204, 80, 200, 53, 173)(40, 160, 57, 177, 83, 203, 90, 210, 66, 186)(44, 164, 70, 190, 94, 214, 79, 199, 51, 171)(48, 168, 75, 195, 98, 218, 96, 216, 73, 193)(61, 181, 67, 187, 91, 211, 105, 225, 86, 206)(65, 185, 74, 194, 97, 217, 107, 227, 88, 208)(68, 188, 92, 212, 110, 230, 99, 219, 77, 197)(81, 201, 87, 207, 106, 226, 102, 222, 82, 202)(85, 205, 89, 209, 108, 228, 115, 235, 103, 223)(93, 213, 95, 215, 104, 224, 116, 236, 111, 231)(100, 220, 112, 232, 117, 237, 109, 229, 101, 221)(113, 233, 114, 234, 119, 239, 120, 240, 118, 238)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 256)(7, 258)(8, 242)(9, 244)(10, 265)(11, 266)(12, 269)(13, 271)(14, 273)(15, 245)(16, 274)(17, 246)(18, 279)(19, 280)(20, 282)(21, 248)(22, 283)(23, 249)(24, 251)(25, 255)(26, 254)(27, 291)(28, 253)(29, 286)(30, 284)(31, 285)(32, 290)(33, 288)(34, 300)(35, 301)(36, 303)(37, 257)(38, 259)(39, 261)(40, 260)(41, 306)(42, 305)(43, 308)(44, 262)(45, 312)(46, 263)(47, 313)(48, 264)(49, 267)(50, 314)(51, 315)(52, 320)(53, 268)(54, 270)(55, 322)(56, 321)(57, 272)(58, 317)(59, 275)(60, 277)(61, 276)(62, 326)(63, 325)(64, 328)(65, 278)(66, 329)(67, 281)(68, 294)(69, 333)(70, 295)(71, 296)(72, 293)(73, 297)(74, 287)(75, 298)(76, 339)(77, 289)(78, 341)(79, 340)(80, 335)(81, 292)(82, 332)(83, 336)(84, 343)(85, 299)(86, 344)(87, 302)(88, 307)(89, 304)(90, 349)(91, 347)(92, 309)(93, 310)(94, 351)(95, 311)(96, 353)(97, 318)(98, 319)(99, 354)(100, 316)(101, 323)(102, 352)(103, 327)(104, 324)(105, 357)(106, 355)(107, 358)(108, 330)(109, 331)(110, 342)(111, 359)(112, 334)(113, 337)(114, 338)(115, 360)(116, 345)(117, 346)(118, 348)(119, 350)(120, 356)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.933
Graph:: simple bipartite
	v = 144 e = 240 f = 80
	degree seq :: [ 2^120, 10^24 ]

E9.935 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^8, (T1^-1 * T2)^4, T1^3 * T2 * T1^-4 * T2 * T1, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2, T1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1, (T2 * T1^-3 * T2 * T1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 91, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 103, 76, 48)(32, 58, 75, 66, 36, 65, 78, 59)(39, 69, 99, 101, 73, 49, 77, 70)(52, 80, 71, 87, 55, 86, 68, 81)(61, 93, 104, 98, 114, 123, 113, 89)(64, 96, 102, 119, 108, 90, 109, 97)(82, 107, 94, 112, 95, 115, 92, 105)(85, 110, 118, 125, 120, 106, 100, 111)(116, 121, 126, 128, 127, 124, 117, 122)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 89)(59, 90)(60, 92)(62, 94)(63, 95)(65, 98)(66, 96)(70, 100)(76, 102)(77, 104)(80, 105)(81, 106)(83, 108)(84, 109)(86, 112)(87, 110)(91, 114)(93, 116)(97, 117)(99, 113)(101, 118)(103, 120)(107, 121)(111, 122)(115, 124)(119, 126)(123, 127)(125, 128)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.936
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.936 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^4, T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1 * T2 * T1^2 * T2 * T1, (T1^-1 * T2)^8, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 52, 40)(29, 48, 77, 49)(30, 50, 80, 51)(32, 53, 83, 54)(33, 55, 86, 56)(34, 57, 47, 58)(42, 68, 88, 69)(43, 70, 87, 71)(45, 73, 85, 74)(46, 75, 84, 76)(60, 92, 82, 93)(61, 94, 81, 95)(63, 97, 79, 98)(64, 99, 78, 100)(65, 101, 123, 102)(66, 96, 114, 91)(67, 89, 72, 103)(90, 113, 125, 112)(104, 115, 111, 122)(105, 119, 110, 118)(106, 117, 109, 120)(107, 121, 108, 116)(124, 126, 128, 127)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 72)(48, 78)(49, 79)(50, 81)(51, 82)(53, 84)(54, 85)(55, 87)(56, 88)(57, 89)(58, 90)(59, 91)(62, 96)(68, 104)(69, 105)(70, 106)(71, 107)(73, 108)(74, 109)(75, 110)(76, 111)(77, 102)(80, 101)(83, 112)(86, 113)(92, 115)(93, 116)(94, 117)(95, 118)(97, 119)(98, 120)(99, 121)(100, 122)(103, 124)(114, 126)(123, 127)(125, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.935
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.937 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1, T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, (T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 78, 48)(30, 50, 81, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 96, 61)(38, 63, 99, 64)(41, 68, 49, 69)(44, 73, 110, 74)(46, 75, 111, 76)(54, 86, 62, 87)(57, 91, 121, 92)(59, 93, 122, 94)(65, 101, 82, 102)(67, 103, 80, 104)(70, 106, 79, 107)(72, 108, 77, 109)(83, 112, 100, 113)(85, 114, 98, 115)(88, 117, 97, 118)(90, 119, 95, 120)(105, 123, 127, 124)(116, 125, 128, 126)(129, 130)(131, 135)(132, 137)(133, 138)(134, 140)(136, 143)(139, 148)(141, 151)(142, 153)(144, 156)(145, 158)(146, 159)(147, 161)(149, 164)(150, 166)(152, 169)(154, 172)(155, 174)(157, 177)(160, 182)(162, 185)(163, 187)(165, 190)(167, 193)(168, 195)(170, 198)(171, 200)(173, 186)(175, 205)(176, 207)(178, 208)(179, 210)(180, 211)(181, 213)(183, 216)(184, 218)(188, 223)(189, 225)(191, 226)(192, 228)(194, 222)(196, 214)(197, 233)(199, 221)(201, 227)(202, 224)(203, 217)(204, 212)(206, 220)(209, 219)(215, 244)(229, 240)(230, 248)(231, 245)(232, 243)(234, 242)(235, 246)(236, 247)(237, 241)(238, 252)(239, 251)(249, 254)(250, 253)(255, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E9.941
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 128 f = 16
	degree seq :: [ 2^64, 4^32 ]

E9.938 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^2 * T1^-1 * T2)^2, T2^8, (T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 32, 14, 5)(2, 7, 17, 38, 73, 44, 20, 8)(4, 12, 27, 56, 84, 48, 22, 9)(6, 15, 33, 63, 97, 69, 36, 16)(11, 26, 54, 31, 61, 87, 50, 23)(13, 29, 59, 88, 51, 25, 53, 30)(18, 40, 75, 43, 78, 105, 71, 37)(19, 41, 76, 106, 72, 39, 74, 42)(21, 45, 79, 110, 92, 57, 81, 46)(28, 58, 83, 47, 82, 113, 91, 55)(34, 65, 99, 68, 102, 119, 95, 62)(35, 66, 100, 120, 96, 64, 98, 67)(49, 85, 114, 93, 60, 89, 115, 86)(70, 103, 123, 108, 77, 107, 124, 104)(80, 111, 126, 112, 90, 116, 125, 109)(94, 117, 127, 122, 101, 121, 128, 118)(129, 130, 134, 132)(131, 137, 149, 139)(133, 141, 146, 135)(136, 147, 162, 143)(138, 151, 177, 153)(140, 144, 163, 156)(142, 159, 188, 157)(145, 165, 198, 167)(148, 171, 205, 169)(150, 175, 208, 173)(152, 179, 206, 172)(154, 174, 193, 170)(155, 183, 218, 185)(158, 186, 195, 168)(160, 184, 220, 189)(161, 190, 222, 192)(164, 196, 229, 194)(166, 200, 230, 197)(176, 191, 224, 210)(178, 204, 236, 213)(180, 201, 225, 212)(181, 214, 239, 211)(182, 202, 232, 217)(187, 221, 244, 219)(199, 228, 250, 231)(203, 226, 246, 235)(207, 237, 245, 223)(209, 240, 249, 227)(215, 238, 247, 234)(216, 241, 248, 233)(242, 251, 255, 253)(243, 252, 256, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.942
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.939 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, T1^3 * T2 * T1^-4 * T2 * T1, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2, (T2 * T1^-2 * T2 * T1^2)^2, (T2 * T1^-3 * T2 * T1)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 89)(59, 90)(60, 92)(62, 94)(63, 95)(65, 98)(66, 96)(70, 100)(76, 102)(77, 104)(80, 105)(81, 106)(83, 108)(84, 109)(86, 112)(87, 110)(91, 114)(93, 116)(97, 117)(99, 113)(101, 118)(103, 120)(107, 121)(111, 122)(115, 124)(119, 126)(123, 127)(125, 128)(129, 130, 133, 139, 151, 150, 138, 132)(131, 135, 143, 159, 172, 165, 146, 136)(134, 141, 155, 179, 171, 184, 158, 142)(137, 147, 166, 174, 152, 173, 168, 148)(140, 153, 175, 170, 149, 169, 178, 154)(144, 161, 188, 219, 195, 202, 190, 162)(145, 163, 191, 216, 185, 211, 181, 156)(157, 182, 212, 200, 207, 231, 204, 176)(160, 186, 203, 194, 164, 193, 206, 187)(167, 197, 227, 229, 201, 177, 205, 198)(180, 208, 199, 215, 183, 214, 196, 209)(189, 221, 232, 226, 242, 251, 241, 217)(192, 224, 230, 247, 236, 218, 237, 225)(210, 235, 222, 240, 223, 243, 220, 233)(213, 238, 246, 253, 248, 234, 228, 239)(244, 249, 254, 256, 255, 252, 245, 250)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.940
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.940 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1, T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, (T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^8 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 4, 132)(2, 130, 5, 133, 11, 139, 6, 134)(7, 135, 13, 141, 24, 152, 14, 142)(9, 137, 16, 144, 29, 157, 17, 145)(10, 138, 18, 146, 32, 160, 19, 147)(12, 140, 21, 149, 37, 165, 22, 150)(15, 143, 26, 154, 45, 173, 27, 155)(20, 148, 34, 162, 58, 186, 35, 163)(23, 151, 39, 167, 66, 194, 40, 168)(25, 153, 42, 170, 71, 199, 43, 171)(28, 156, 47, 175, 78, 206, 48, 176)(30, 158, 50, 178, 81, 209, 51, 179)(31, 159, 52, 180, 84, 212, 53, 181)(33, 161, 55, 183, 89, 217, 56, 184)(36, 164, 60, 188, 96, 224, 61, 189)(38, 166, 63, 191, 99, 227, 64, 192)(41, 169, 68, 196, 49, 177, 69, 197)(44, 172, 73, 201, 110, 238, 74, 202)(46, 174, 75, 203, 111, 239, 76, 204)(54, 182, 86, 214, 62, 190, 87, 215)(57, 185, 91, 219, 121, 249, 92, 220)(59, 187, 93, 221, 122, 250, 94, 222)(65, 193, 101, 229, 82, 210, 102, 230)(67, 195, 103, 231, 80, 208, 104, 232)(70, 198, 106, 234, 79, 207, 107, 235)(72, 200, 108, 236, 77, 205, 109, 237)(83, 211, 112, 240, 100, 228, 113, 241)(85, 213, 114, 242, 98, 226, 115, 243)(88, 216, 117, 245, 97, 225, 118, 246)(90, 218, 119, 247, 95, 223, 120, 248)(105, 233, 123, 251, 127, 255, 124, 252)(116, 244, 125, 253, 128, 256, 126, 254)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 138)(6, 140)(7, 131)(8, 143)(9, 132)(10, 133)(11, 148)(12, 134)(13, 151)(14, 153)(15, 136)(16, 156)(17, 158)(18, 159)(19, 161)(20, 139)(21, 164)(22, 166)(23, 141)(24, 169)(25, 142)(26, 172)(27, 174)(28, 144)(29, 177)(30, 145)(31, 146)(32, 182)(33, 147)(34, 185)(35, 187)(36, 149)(37, 190)(38, 150)(39, 193)(40, 195)(41, 152)(42, 198)(43, 200)(44, 154)(45, 186)(46, 155)(47, 205)(48, 207)(49, 157)(50, 208)(51, 210)(52, 211)(53, 213)(54, 160)(55, 216)(56, 218)(57, 162)(58, 173)(59, 163)(60, 223)(61, 225)(62, 165)(63, 226)(64, 228)(65, 167)(66, 222)(67, 168)(68, 214)(69, 233)(70, 170)(71, 221)(72, 171)(73, 227)(74, 224)(75, 217)(76, 212)(77, 175)(78, 220)(79, 176)(80, 178)(81, 219)(82, 179)(83, 180)(84, 204)(85, 181)(86, 196)(87, 244)(88, 183)(89, 203)(90, 184)(91, 209)(92, 206)(93, 199)(94, 194)(95, 188)(96, 202)(97, 189)(98, 191)(99, 201)(100, 192)(101, 240)(102, 248)(103, 245)(104, 243)(105, 197)(106, 242)(107, 246)(108, 247)(109, 241)(110, 252)(111, 251)(112, 229)(113, 237)(114, 234)(115, 232)(116, 215)(117, 231)(118, 235)(119, 236)(120, 230)(121, 254)(122, 253)(123, 239)(124, 238)(125, 250)(126, 249)(127, 256)(128, 255)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.939
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.941 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^2 * T1^-1 * T2)^2, T2^8, (T2 * T1^-1)^4 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 24, 152, 52, 180, 32, 160, 14, 142, 5, 133)(2, 130, 7, 135, 17, 145, 38, 166, 73, 201, 44, 172, 20, 148, 8, 136)(4, 132, 12, 140, 27, 155, 56, 184, 84, 212, 48, 176, 22, 150, 9, 137)(6, 134, 15, 143, 33, 161, 63, 191, 97, 225, 69, 197, 36, 164, 16, 144)(11, 139, 26, 154, 54, 182, 31, 159, 61, 189, 87, 215, 50, 178, 23, 151)(13, 141, 29, 157, 59, 187, 88, 216, 51, 179, 25, 153, 53, 181, 30, 158)(18, 146, 40, 168, 75, 203, 43, 171, 78, 206, 105, 233, 71, 199, 37, 165)(19, 147, 41, 169, 76, 204, 106, 234, 72, 200, 39, 167, 74, 202, 42, 170)(21, 149, 45, 173, 79, 207, 110, 238, 92, 220, 57, 185, 81, 209, 46, 174)(28, 156, 58, 186, 83, 211, 47, 175, 82, 210, 113, 241, 91, 219, 55, 183)(34, 162, 65, 193, 99, 227, 68, 196, 102, 230, 119, 247, 95, 223, 62, 190)(35, 163, 66, 194, 100, 228, 120, 248, 96, 224, 64, 192, 98, 226, 67, 195)(49, 177, 85, 213, 114, 242, 93, 221, 60, 188, 89, 217, 115, 243, 86, 214)(70, 198, 103, 231, 123, 251, 108, 236, 77, 205, 107, 235, 124, 252, 104, 232)(80, 208, 111, 239, 126, 254, 112, 240, 90, 218, 116, 244, 125, 253, 109, 237)(94, 222, 117, 245, 127, 255, 122, 250, 101, 229, 121, 249, 128, 256, 118, 246)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 141)(6, 132)(7, 133)(8, 147)(9, 149)(10, 151)(11, 131)(12, 144)(13, 146)(14, 159)(15, 136)(16, 163)(17, 165)(18, 135)(19, 162)(20, 171)(21, 139)(22, 175)(23, 177)(24, 179)(25, 138)(26, 174)(27, 183)(28, 140)(29, 142)(30, 186)(31, 188)(32, 184)(33, 190)(34, 143)(35, 156)(36, 196)(37, 198)(38, 200)(39, 145)(40, 158)(41, 148)(42, 154)(43, 205)(44, 152)(45, 150)(46, 193)(47, 208)(48, 191)(49, 153)(50, 204)(51, 206)(52, 201)(53, 214)(54, 202)(55, 218)(56, 220)(57, 155)(58, 195)(59, 221)(60, 157)(61, 160)(62, 222)(63, 224)(64, 161)(65, 170)(66, 164)(67, 168)(68, 229)(69, 166)(70, 167)(71, 228)(72, 230)(73, 225)(74, 232)(75, 226)(76, 236)(77, 169)(78, 172)(79, 237)(80, 173)(81, 240)(82, 176)(83, 181)(84, 180)(85, 178)(86, 239)(87, 238)(88, 241)(89, 182)(90, 185)(91, 187)(92, 189)(93, 244)(94, 192)(95, 207)(96, 210)(97, 212)(98, 246)(99, 209)(100, 250)(101, 194)(102, 197)(103, 199)(104, 217)(105, 216)(106, 215)(107, 203)(108, 213)(109, 245)(110, 247)(111, 211)(112, 249)(113, 248)(114, 251)(115, 252)(116, 219)(117, 223)(118, 235)(119, 234)(120, 233)(121, 227)(122, 231)(123, 255)(124, 256)(125, 242)(126, 243)(127, 253)(128, 254)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.937
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 96
	degree seq :: [ 16^16 ]

E9.942 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, T1^3 * T2 * T1^-4 * T2 * T1, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2, (T2 * T1^-2 * T2 * T1^2)^2, (T2 * T1^-3 * T2 * T1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 36, 164)(19, 147, 39, 167)(20, 148, 33, 161)(22, 150, 43, 171)(23, 151, 44, 172)(25, 153, 48, 176)(26, 154, 49, 177)(27, 155, 52, 180)(30, 158, 55, 183)(31, 159, 57, 185)(34, 162, 61, 189)(35, 163, 64, 192)(37, 165, 67, 195)(38, 166, 68, 196)(40, 168, 71, 199)(41, 169, 72, 200)(42, 170, 69, 197)(45, 173, 73, 201)(46, 174, 74, 202)(47, 175, 75, 203)(50, 178, 78, 206)(51, 179, 79, 207)(53, 181, 82, 210)(54, 182, 85, 213)(56, 184, 88, 216)(58, 186, 89, 217)(59, 187, 90, 218)(60, 188, 92, 220)(62, 190, 94, 222)(63, 191, 95, 223)(65, 193, 98, 226)(66, 194, 96, 224)(70, 198, 100, 228)(76, 204, 102, 230)(77, 205, 104, 232)(80, 208, 105, 233)(81, 209, 106, 234)(83, 211, 108, 236)(84, 212, 109, 237)(86, 214, 112, 240)(87, 215, 110, 238)(91, 219, 114, 242)(93, 221, 116, 244)(97, 225, 117, 245)(99, 227, 113, 241)(101, 229, 118, 246)(103, 231, 120, 248)(107, 235, 121, 249)(111, 239, 122, 250)(115, 243, 124, 252)(119, 247, 126, 254)(123, 251, 127, 255)(125, 253, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 166)(20, 137)(21, 169)(22, 138)(23, 150)(24, 173)(25, 175)(26, 140)(27, 179)(28, 145)(29, 182)(30, 142)(31, 172)(32, 186)(33, 188)(34, 144)(35, 191)(36, 193)(37, 146)(38, 174)(39, 197)(40, 148)(41, 178)(42, 149)(43, 184)(44, 165)(45, 168)(46, 152)(47, 170)(48, 157)(49, 205)(50, 154)(51, 171)(52, 208)(53, 156)(54, 212)(55, 214)(56, 158)(57, 211)(58, 203)(59, 160)(60, 219)(61, 221)(62, 162)(63, 216)(64, 224)(65, 206)(66, 164)(67, 202)(68, 209)(69, 227)(70, 167)(71, 215)(72, 207)(73, 177)(74, 190)(75, 194)(76, 176)(77, 198)(78, 187)(79, 231)(80, 199)(81, 180)(82, 235)(83, 181)(84, 200)(85, 238)(86, 196)(87, 183)(88, 185)(89, 189)(90, 237)(91, 195)(92, 233)(93, 232)(94, 240)(95, 243)(96, 230)(97, 192)(98, 242)(99, 229)(100, 239)(101, 201)(102, 247)(103, 204)(104, 226)(105, 210)(106, 228)(107, 222)(108, 218)(109, 225)(110, 246)(111, 213)(112, 223)(113, 217)(114, 251)(115, 220)(116, 249)(117, 250)(118, 253)(119, 236)(120, 234)(121, 254)(122, 244)(123, 241)(124, 245)(125, 248)(126, 256)(127, 252)(128, 255)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.938
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.943 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, Y2^-2 * R * Y2^-2 * R * Y2^-2 * Y1 * Y2^2 * Y1, Y2^-1 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2^2 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 25, 153)(16, 144, 28, 156)(17, 145, 30, 158)(18, 146, 31, 159)(19, 147, 33, 161)(21, 149, 36, 164)(22, 150, 38, 166)(24, 152, 41, 169)(26, 154, 44, 172)(27, 155, 46, 174)(29, 157, 49, 177)(32, 160, 54, 182)(34, 162, 57, 185)(35, 163, 59, 187)(37, 165, 62, 190)(39, 167, 65, 193)(40, 168, 67, 195)(42, 170, 70, 198)(43, 171, 72, 200)(45, 173, 58, 186)(47, 175, 77, 205)(48, 176, 79, 207)(50, 178, 80, 208)(51, 179, 82, 210)(52, 180, 83, 211)(53, 181, 85, 213)(55, 183, 88, 216)(56, 184, 90, 218)(60, 188, 95, 223)(61, 189, 97, 225)(63, 191, 98, 226)(64, 192, 100, 228)(66, 194, 94, 222)(68, 196, 86, 214)(69, 197, 105, 233)(71, 199, 93, 221)(73, 201, 99, 227)(74, 202, 96, 224)(75, 203, 89, 217)(76, 204, 84, 212)(78, 206, 92, 220)(81, 209, 91, 219)(87, 215, 116, 244)(101, 229, 112, 240)(102, 230, 120, 248)(103, 231, 117, 245)(104, 232, 115, 243)(106, 234, 114, 242)(107, 235, 118, 246)(108, 236, 119, 247)(109, 237, 113, 241)(110, 238, 124, 252)(111, 239, 123, 251)(121, 249, 126, 254)(122, 250, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 260, 388)(258, 386, 261, 389, 267, 395, 262, 390)(263, 391, 269, 397, 280, 408, 270, 398)(265, 393, 272, 400, 285, 413, 273, 401)(266, 394, 274, 402, 288, 416, 275, 403)(268, 396, 277, 405, 293, 421, 278, 406)(271, 399, 282, 410, 301, 429, 283, 411)(276, 404, 290, 418, 314, 442, 291, 419)(279, 407, 295, 423, 322, 450, 296, 424)(281, 409, 298, 426, 327, 455, 299, 427)(284, 412, 303, 431, 334, 462, 304, 432)(286, 414, 306, 434, 337, 465, 307, 435)(287, 415, 308, 436, 340, 468, 309, 437)(289, 417, 311, 439, 345, 473, 312, 440)(292, 420, 316, 444, 352, 480, 317, 445)(294, 422, 319, 447, 355, 483, 320, 448)(297, 425, 324, 452, 305, 433, 325, 453)(300, 428, 329, 457, 366, 494, 330, 458)(302, 430, 331, 459, 367, 495, 332, 460)(310, 438, 342, 470, 318, 446, 343, 471)(313, 441, 347, 475, 377, 505, 348, 476)(315, 443, 349, 477, 378, 506, 350, 478)(321, 449, 357, 485, 338, 466, 358, 486)(323, 451, 359, 487, 336, 464, 360, 488)(326, 454, 362, 490, 335, 463, 363, 491)(328, 456, 364, 492, 333, 461, 365, 493)(339, 467, 368, 496, 356, 484, 369, 497)(341, 469, 370, 498, 354, 482, 371, 499)(344, 472, 373, 501, 353, 481, 374, 502)(346, 474, 375, 503, 351, 479, 376, 504)(361, 489, 379, 507, 383, 511, 380, 508)(372, 500, 381, 509, 384, 512, 382, 510)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 266)(6, 268)(7, 259)(8, 271)(9, 260)(10, 261)(11, 276)(12, 262)(13, 279)(14, 281)(15, 264)(16, 284)(17, 286)(18, 287)(19, 289)(20, 267)(21, 292)(22, 294)(23, 269)(24, 297)(25, 270)(26, 300)(27, 302)(28, 272)(29, 305)(30, 273)(31, 274)(32, 310)(33, 275)(34, 313)(35, 315)(36, 277)(37, 318)(38, 278)(39, 321)(40, 323)(41, 280)(42, 326)(43, 328)(44, 282)(45, 314)(46, 283)(47, 333)(48, 335)(49, 285)(50, 336)(51, 338)(52, 339)(53, 341)(54, 288)(55, 344)(56, 346)(57, 290)(58, 301)(59, 291)(60, 351)(61, 353)(62, 293)(63, 354)(64, 356)(65, 295)(66, 350)(67, 296)(68, 342)(69, 361)(70, 298)(71, 349)(72, 299)(73, 355)(74, 352)(75, 345)(76, 340)(77, 303)(78, 348)(79, 304)(80, 306)(81, 347)(82, 307)(83, 308)(84, 332)(85, 309)(86, 324)(87, 372)(88, 311)(89, 331)(90, 312)(91, 337)(92, 334)(93, 327)(94, 322)(95, 316)(96, 330)(97, 317)(98, 319)(99, 329)(100, 320)(101, 368)(102, 376)(103, 373)(104, 371)(105, 325)(106, 370)(107, 374)(108, 375)(109, 369)(110, 380)(111, 379)(112, 357)(113, 365)(114, 362)(115, 360)(116, 343)(117, 359)(118, 363)(119, 364)(120, 358)(121, 382)(122, 381)(123, 367)(124, 366)(125, 378)(126, 377)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.946
Graph:: bipartite
	v = 96 e = 256 f = 144
	degree seq :: [ 4^64, 8^32 ]

E9.944 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2^8, (Y2^3 * Y1^-1)^2, (Y2 * Y1^-1)^4 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 49, 177, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 60, 188, 29, 157)(17, 145, 37, 165, 70, 198, 39, 167)(20, 148, 43, 171, 77, 205, 41, 169)(22, 150, 47, 175, 80, 208, 45, 173)(24, 152, 51, 179, 78, 206, 44, 172)(26, 154, 46, 174, 65, 193, 42, 170)(27, 155, 55, 183, 90, 218, 57, 185)(30, 158, 58, 186, 67, 195, 40, 168)(32, 160, 56, 184, 92, 220, 61, 189)(33, 161, 62, 190, 94, 222, 64, 192)(36, 164, 68, 196, 101, 229, 66, 194)(38, 166, 72, 200, 102, 230, 69, 197)(48, 176, 63, 191, 96, 224, 82, 210)(50, 178, 76, 204, 108, 236, 85, 213)(52, 180, 73, 201, 97, 225, 84, 212)(53, 181, 86, 214, 111, 239, 83, 211)(54, 182, 74, 202, 104, 232, 89, 217)(59, 187, 93, 221, 116, 244, 91, 219)(71, 199, 100, 228, 122, 250, 103, 231)(75, 203, 98, 226, 118, 246, 107, 235)(79, 207, 109, 237, 117, 245, 95, 223)(81, 209, 112, 240, 121, 249, 99, 227)(87, 215, 110, 238, 119, 247, 106, 234)(88, 216, 113, 241, 120, 248, 105, 233)(114, 242, 123, 251, 127, 255, 125, 253)(115, 243, 124, 252, 128, 256, 126, 254)(257, 385, 259, 387, 266, 394, 280, 408, 308, 436, 288, 416, 270, 398, 261, 389)(258, 386, 263, 391, 273, 401, 294, 422, 329, 457, 300, 428, 276, 404, 264, 392)(260, 388, 268, 396, 283, 411, 312, 440, 340, 468, 304, 432, 278, 406, 265, 393)(262, 390, 271, 399, 289, 417, 319, 447, 353, 481, 325, 453, 292, 420, 272, 400)(267, 395, 282, 410, 310, 438, 287, 415, 317, 445, 343, 471, 306, 434, 279, 407)(269, 397, 285, 413, 315, 443, 344, 472, 307, 435, 281, 409, 309, 437, 286, 414)(274, 402, 296, 424, 331, 459, 299, 427, 334, 462, 361, 489, 327, 455, 293, 421)(275, 403, 297, 425, 332, 460, 362, 490, 328, 456, 295, 423, 330, 458, 298, 426)(277, 405, 301, 429, 335, 463, 366, 494, 348, 476, 313, 441, 337, 465, 302, 430)(284, 412, 314, 442, 339, 467, 303, 431, 338, 466, 369, 497, 347, 475, 311, 439)(290, 418, 321, 449, 355, 483, 324, 452, 358, 486, 375, 503, 351, 479, 318, 446)(291, 419, 322, 450, 356, 484, 376, 504, 352, 480, 320, 448, 354, 482, 323, 451)(305, 433, 341, 469, 370, 498, 349, 477, 316, 444, 345, 473, 371, 499, 342, 470)(326, 454, 359, 487, 379, 507, 364, 492, 333, 461, 363, 491, 380, 508, 360, 488)(336, 464, 367, 495, 382, 510, 368, 496, 346, 474, 372, 500, 381, 509, 365, 493)(350, 478, 373, 501, 383, 511, 378, 506, 357, 485, 377, 505, 384, 512, 374, 502)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 301)(22, 265)(23, 267)(24, 308)(25, 309)(26, 310)(27, 312)(28, 314)(29, 315)(30, 269)(31, 317)(32, 270)(33, 319)(34, 321)(35, 322)(36, 272)(37, 274)(38, 329)(39, 330)(40, 331)(41, 332)(42, 275)(43, 334)(44, 276)(45, 335)(46, 277)(47, 338)(48, 278)(49, 341)(50, 279)(51, 281)(52, 288)(53, 286)(54, 287)(55, 284)(56, 340)(57, 337)(58, 339)(59, 344)(60, 345)(61, 343)(62, 290)(63, 353)(64, 354)(65, 355)(66, 356)(67, 291)(68, 358)(69, 292)(70, 359)(71, 293)(72, 295)(73, 300)(74, 298)(75, 299)(76, 362)(77, 363)(78, 361)(79, 366)(80, 367)(81, 302)(82, 369)(83, 303)(84, 304)(85, 370)(86, 305)(87, 306)(88, 307)(89, 371)(90, 372)(91, 311)(92, 313)(93, 316)(94, 373)(95, 318)(96, 320)(97, 325)(98, 323)(99, 324)(100, 376)(101, 377)(102, 375)(103, 379)(104, 326)(105, 327)(106, 328)(107, 380)(108, 333)(109, 336)(110, 348)(111, 382)(112, 346)(113, 347)(114, 349)(115, 342)(116, 381)(117, 383)(118, 350)(119, 351)(120, 352)(121, 384)(122, 357)(123, 364)(124, 360)(125, 365)(126, 368)(127, 378)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 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 E9.945
Graph:: bipartite
	v = 48 e = 256 f = 192
	degree seq :: [ 8^32, 16^16 ]

E9.945 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-1 * Y2 * Y3^-3)^2, Y3^-3 * Y2 * Y3^4 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 284, 412)(272, 400, 288, 416)(274, 402, 292, 420)(275, 403, 294, 422)(276, 404, 279, 407)(278, 406, 299, 427)(280, 408, 301, 429)(282, 410, 305, 433)(283, 411, 307, 435)(286, 414, 312, 440)(287, 415, 313, 441)(289, 417, 317, 445)(290, 418, 316, 444)(291, 419, 320, 448)(293, 421, 306, 434)(295, 423, 326, 454)(296, 424, 327, 455)(297, 425, 328, 456)(298, 426, 324, 452)(300, 428, 329, 457)(302, 430, 333, 461)(303, 431, 332, 460)(304, 432, 336, 464)(308, 436, 342, 470)(309, 437, 343, 471)(310, 438, 344, 472)(311, 439, 340, 468)(314, 442, 347, 475)(315, 443, 348, 476)(318, 446, 339, 467)(319, 447, 335, 463)(321, 449, 337, 465)(322, 450, 354, 482)(323, 451, 334, 462)(325, 453, 356, 484)(330, 458, 359, 487)(331, 459, 360, 488)(338, 466, 366, 494)(341, 469, 368, 496)(345, 473, 357, 485)(346, 474, 369, 497)(349, 477, 365, 493)(350, 478, 367, 495)(351, 479, 363, 491)(352, 480, 371, 499)(353, 481, 361, 489)(355, 483, 362, 490)(358, 486, 374, 502)(364, 492, 376, 504)(370, 498, 379, 507)(372, 500, 377, 505)(373, 501, 380, 508)(375, 503, 381, 509)(378, 506, 382, 510)(383, 511, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 287)(16, 263)(17, 290)(18, 293)(19, 295)(20, 265)(21, 297)(22, 266)(23, 300)(24, 267)(25, 303)(26, 306)(27, 308)(28, 269)(29, 310)(30, 270)(31, 314)(32, 315)(33, 272)(34, 319)(35, 273)(36, 322)(37, 278)(38, 324)(39, 323)(40, 276)(41, 321)(42, 277)(43, 318)(44, 330)(45, 331)(46, 280)(47, 335)(48, 281)(49, 338)(50, 286)(51, 340)(52, 339)(53, 284)(54, 337)(55, 285)(56, 334)(57, 345)(58, 299)(59, 349)(60, 288)(61, 351)(62, 289)(63, 298)(64, 353)(65, 291)(66, 296)(67, 292)(68, 355)(69, 294)(70, 346)(71, 352)(72, 347)(73, 357)(74, 312)(75, 361)(76, 301)(77, 363)(78, 302)(79, 311)(80, 365)(81, 304)(82, 309)(83, 305)(84, 367)(85, 307)(86, 358)(87, 364)(88, 359)(89, 327)(90, 313)(91, 370)(92, 371)(93, 328)(94, 316)(95, 326)(96, 317)(97, 325)(98, 320)(99, 373)(100, 372)(101, 343)(102, 329)(103, 375)(104, 376)(105, 344)(106, 332)(107, 342)(108, 333)(109, 341)(110, 336)(111, 378)(112, 377)(113, 356)(114, 350)(115, 380)(116, 348)(117, 354)(118, 368)(119, 362)(120, 382)(121, 360)(122, 366)(123, 369)(124, 383)(125, 374)(126, 384)(127, 379)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.944
Graph:: simple bipartite
	v = 192 e = 256 f = 48
	degree seq :: [ 2^128, 4^64 ]

E9.946 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|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, Y1^8, (Y3^-1 * Y1^-1)^4, Y1^3 * Y3 * Y1^-4 * Y3^-1 * Y1, Y3 * Y1^2 * Y3 * Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 44, 172, 37, 165, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 51, 179, 43, 171, 56, 184, 30, 158, 14, 142)(9, 137, 19, 147, 38, 166, 46, 174, 24, 152, 45, 173, 40, 168, 20, 148)(12, 140, 25, 153, 47, 175, 42, 170, 21, 149, 41, 169, 50, 178, 26, 154)(16, 144, 33, 161, 60, 188, 91, 219, 67, 195, 74, 202, 62, 190, 34, 162)(17, 145, 35, 163, 63, 191, 88, 216, 57, 185, 83, 211, 53, 181, 28, 156)(29, 157, 54, 182, 84, 212, 72, 200, 79, 207, 103, 231, 76, 204, 48, 176)(32, 160, 58, 186, 75, 203, 66, 194, 36, 164, 65, 193, 78, 206, 59, 187)(39, 167, 69, 197, 99, 227, 101, 229, 73, 201, 49, 177, 77, 205, 70, 198)(52, 180, 80, 208, 71, 199, 87, 215, 55, 183, 86, 214, 68, 196, 81, 209)(61, 189, 93, 221, 104, 232, 98, 226, 114, 242, 123, 251, 113, 241, 89, 217)(64, 192, 96, 224, 102, 230, 119, 247, 108, 236, 90, 218, 109, 237, 97, 225)(82, 210, 107, 235, 94, 222, 112, 240, 95, 223, 115, 243, 92, 220, 105, 233)(85, 213, 110, 238, 118, 246, 125, 253, 120, 248, 106, 234, 100, 228, 111, 239)(116, 244, 121, 249, 126, 254, 128, 256, 127, 255, 124, 252, 117, 245, 122, 250)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 292)(19, 295)(20, 289)(21, 266)(22, 299)(23, 300)(24, 267)(25, 304)(26, 305)(27, 308)(28, 269)(29, 270)(30, 311)(31, 313)(32, 271)(33, 276)(34, 317)(35, 320)(36, 274)(37, 323)(38, 324)(39, 275)(40, 327)(41, 328)(42, 325)(43, 278)(44, 279)(45, 329)(46, 330)(47, 331)(48, 281)(49, 282)(50, 334)(51, 335)(52, 283)(53, 338)(54, 341)(55, 286)(56, 344)(57, 287)(58, 345)(59, 346)(60, 348)(61, 290)(62, 350)(63, 351)(64, 291)(65, 354)(66, 352)(67, 293)(68, 294)(69, 298)(70, 356)(71, 296)(72, 297)(73, 301)(74, 302)(75, 303)(76, 358)(77, 360)(78, 306)(79, 307)(80, 361)(81, 362)(82, 309)(83, 364)(84, 365)(85, 310)(86, 368)(87, 366)(88, 312)(89, 314)(90, 315)(91, 370)(92, 316)(93, 372)(94, 318)(95, 319)(96, 322)(97, 373)(98, 321)(99, 369)(100, 326)(101, 374)(102, 332)(103, 376)(104, 333)(105, 336)(106, 337)(107, 377)(108, 339)(109, 340)(110, 343)(111, 378)(112, 342)(113, 355)(114, 347)(115, 380)(116, 349)(117, 353)(118, 357)(119, 382)(120, 359)(121, 363)(122, 367)(123, 383)(124, 371)(125, 384)(126, 375)(127, 379)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.943
Graph:: simple bipartite
	v = 144 e = 256 f = 96
	degree seq :: [ 2^128, 16^16 ]

E9.947 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-4 * Y1 * Y2^3, (Y2^-3 * Y1 * Y2^-1)^2, (R * Y2^3 * Y1)^2, (Y2^-2 * R * Y2^-2)^2, (Y2^-1 * Y1 * Y2^-1)^4, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-2)^2 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 28, 156)(16, 144, 32, 160)(18, 146, 36, 164)(19, 147, 38, 166)(20, 148, 23, 151)(22, 150, 43, 171)(24, 152, 45, 173)(26, 154, 49, 177)(27, 155, 51, 179)(30, 158, 56, 184)(31, 159, 57, 185)(33, 161, 61, 189)(34, 162, 60, 188)(35, 163, 64, 192)(37, 165, 50, 178)(39, 167, 70, 198)(40, 168, 71, 199)(41, 169, 72, 200)(42, 170, 68, 196)(44, 172, 73, 201)(46, 174, 77, 205)(47, 175, 76, 204)(48, 176, 80, 208)(52, 180, 86, 214)(53, 181, 87, 215)(54, 182, 88, 216)(55, 183, 84, 212)(58, 186, 91, 219)(59, 187, 92, 220)(62, 190, 83, 211)(63, 191, 79, 207)(65, 193, 81, 209)(66, 194, 98, 226)(67, 195, 78, 206)(69, 197, 100, 228)(74, 202, 103, 231)(75, 203, 104, 232)(82, 210, 110, 238)(85, 213, 112, 240)(89, 217, 101, 229)(90, 218, 113, 241)(93, 221, 109, 237)(94, 222, 111, 239)(95, 223, 107, 235)(96, 224, 115, 243)(97, 225, 105, 233)(99, 227, 106, 234)(102, 230, 118, 246)(108, 236, 120, 248)(114, 242, 123, 251)(116, 244, 121, 249)(117, 245, 124, 252)(119, 247, 125, 253)(122, 250, 126, 254)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 293, 421, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 306, 434, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 287, 415, 314, 442, 299, 427, 318, 446, 289, 417, 272, 400)(265, 393, 275, 403, 295, 423, 323, 451, 292, 420, 322, 450, 296, 424, 276, 404)(267, 395, 279, 407, 300, 428, 330, 458, 312, 440, 334, 462, 302, 430, 280, 408)(269, 397, 283, 411, 308, 436, 339, 467, 305, 433, 338, 466, 309, 437, 284, 412)(273, 401, 290, 418, 319, 447, 298, 426, 277, 405, 297, 425, 321, 449, 291, 419)(281, 409, 303, 431, 335, 463, 311, 439, 285, 413, 310, 438, 337, 465, 304, 432)(288, 416, 315, 443, 349, 477, 328, 456, 347, 475, 370, 498, 350, 478, 316, 444)(294, 422, 324, 452, 355, 483, 373, 501, 354, 482, 320, 448, 353, 481, 325, 453)(301, 429, 331, 459, 361, 489, 344, 472, 359, 487, 375, 503, 362, 490, 332, 460)(307, 435, 340, 468, 367, 495, 378, 506, 366, 494, 336, 464, 365, 493, 341, 469)(313, 441, 345, 473, 327, 455, 352, 480, 317, 445, 351, 479, 326, 454, 346, 474)(329, 457, 357, 485, 343, 471, 364, 492, 333, 461, 363, 491, 342, 470, 358, 486)(348, 476, 371, 499, 380, 508, 383, 511, 379, 507, 369, 497, 356, 484, 372, 500)(360, 488, 376, 504, 382, 510, 384, 512, 381, 509, 374, 502, 368, 496, 377, 505)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 284)(16, 288)(17, 264)(18, 292)(19, 294)(20, 279)(21, 266)(22, 299)(23, 276)(24, 301)(25, 268)(26, 305)(27, 307)(28, 271)(29, 270)(30, 312)(31, 313)(32, 272)(33, 317)(34, 316)(35, 320)(36, 274)(37, 306)(38, 275)(39, 326)(40, 327)(41, 328)(42, 324)(43, 278)(44, 329)(45, 280)(46, 333)(47, 332)(48, 336)(49, 282)(50, 293)(51, 283)(52, 342)(53, 343)(54, 344)(55, 340)(56, 286)(57, 287)(58, 347)(59, 348)(60, 290)(61, 289)(62, 339)(63, 335)(64, 291)(65, 337)(66, 354)(67, 334)(68, 298)(69, 356)(70, 295)(71, 296)(72, 297)(73, 300)(74, 359)(75, 360)(76, 303)(77, 302)(78, 323)(79, 319)(80, 304)(81, 321)(82, 366)(83, 318)(84, 311)(85, 368)(86, 308)(87, 309)(88, 310)(89, 357)(90, 369)(91, 314)(92, 315)(93, 365)(94, 367)(95, 363)(96, 371)(97, 361)(98, 322)(99, 362)(100, 325)(101, 345)(102, 374)(103, 330)(104, 331)(105, 353)(106, 355)(107, 351)(108, 376)(109, 349)(110, 338)(111, 350)(112, 341)(113, 346)(114, 379)(115, 352)(116, 377)(117, 380)(118, 358)(119, 381)(120, 364)(121, 372)(122, 382)(123, 370)(124, 373)(125, 375)(126, 378)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.948
Graph:: bipartite
	v = 80 e = 256 f = 160
	degree seq :: [ 4^64, 16^16 ]

E9.948 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C2 x C2) : C4) : C2 (small group id <128, 75>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1 * Y3)^2, (Y3^-1 * Y1)^4, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 49, 177, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 60, 188, 29, 157)(17, 145, 37, 165, 70, 198, 39, 167)(20, 148, 43, 171, 77, 205, 41, 169)(22, 150, 47, 175, 80, 208, 45, 173)(24, 152, 51, 179, 78, 206, 44, 172)(26, 154, 46, 174, 65, 193, 42, 170)(27, 155, 55, 183, 90, 218, 57, 185)(30, 158, 58, 186, 67, 195, 40, 168)(32, 160, 56, 184, 92, 220, 61, 189)(33, 161, 62, 190, 94, 222, 64, 192)(36, 164, 68, 196, 101, 229, 66, 194)(38, 166, 72, 200, 102, 230, 69, 197)(48, 176, 63, 191, 96, 224, 82, 210)(50, 178, 76, 204, 108, 236, 85, 213)(52, 180, 73, 201, 97, 225, 84, 212)(53, 181, 86, 214, 111, 239, 83, 211)(54, 182, 74, 202, 104, 232, 89, 217)(59, 187, 93, 221, 116, 244, 91, 219)(71, 199, 100, 228, 122, 250, 103, 231)(75, 203, 98, 226, 118, 246, 107, 235)(79, 207, 109, 237, 117, 245, 95, 223)(81, 209, 112, 240, 121, 249, 99, 227)(87, 215, 110, 238, 119, 247, 106, 234)(88, 216, 113, 241, 120, 248, 105, 233)(114, 242, 123, 251, 127, 255, 125, 253)(115, 243, 124, 252, 128, 256, 126, 254)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 301)(22, 265)(23, 267)(24, 308)(25, 309)(26, 310)(27, 312)(28, 314)(29, 315)(30, 269)(31, 317)(32, 270)(33, 319)(34, 321)(35, 322)(36, 272)(37, 274)(38, 329)(39, 330)(40, 331)(41, 332)(42, 275)(43, 334)(44, 276)(45, 335)(46, 277)(47, 338)(48, 278)(49, 341)(50, 279)(51, 281)(52, 288)(53, 286)(54, 287)(55, 284)(56, 340)(57, 337)(58, 339)(59, 344)(60, 345)(61, 343)(62, 290)(63, 353)(64, 354)(65, 355)(66, 356)(67, 291)(68, 358)(69, 292)(70, 359)(71, 293)(72, 295)(73, 300)(74, 298)(75, 299)(76, 362)(77, 363)(78, 361)(79, 366)(80, 367)(81, 302)(82, 369)(83, 303)(84, 304)(85, 370)(86, 305)(87, 306)(88, 307)(89, 371)(90, 372)(91, 311)(92, 313)(93, 316)(94, 373)(95, 318)(96, 320)(97, 325)(98, 323)(99, 324)(100, 376)(101, 377)(102, 375)(103, 379)(104, 326)(105, 327)(106, 328)(107, 380)(108, 333)(109, 336)(110, 348)(111, 382)(112, 346)(113, 347)(114, 349)(115, 342)(116, 381)(117, 383)(118, 350)(119, 351)(120, 352)(121, 384)(122, 357)(123, 364)(124, 360)(125, 365)(126, 368)(127, 378)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.947
Graph:: simple bipartite
	v = 160 e = 256 f = 80
	degree seq :: [ 2^128, 8^32 ]

E9.949 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2)^4, (T2 * T1^-1)^4, T1^8, T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2, (T1^-1 * T2 * T1 * T2 * T1^-2)^2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polytopal 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, 111, 74, 40, 20)(12, 25, 47, 86, 118, 91, 50, 26)(16, 33, 61, 93, 114, 84, 63, 34)(17, 35, 64, 107, 115, 97, 53, 28)(21, 41, 75, 96, 121, 106, 77, 42)(24, 45, 82, 117, 108, 65, 85, 46)(29, 54, 98, 76, 110, 68, 88, 48)(32, 59, 87, 70, 95, 52, 94, 60)(36, 66, 90, 73, 101, 55, 100, 67)(39, 71, 102, 58, 83, 49, 89, 72)(43, 78, 104, 62, 105, 119, 109, 79)(44, 80, 113, 112, 122, 99, 116, 81)(103, 120, 126, 125, 128, 124, 127, 123)
	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, 104)(60, 82)(61, 91)(63, 106)(64, 86)(66, 109)(67, 85)(69, 88)(72, 112)(74, 97)(75, 94)(77, 100)(78, 107)(79, 110)(80, 114)(81, 115)(89, 119)(92, 120)(95, 113)(98, 117)(101, 116)(105, 124)(108, 125)(111, 123)(118, 126)(121, 127)(122, 128)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.951
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.950 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^8, (T2 * T1^-1)^4, T1^8, (T1^-2 * T2 * T1^-2)^2, T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 91, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 103, 76, 48)(32, 58, 78, 66, 36, 65, 75, 59)(39, 69, 99, 101, 73, 49, 77, 70)(52, 80, 68, 87, 55, 86, 71, 81)(61, 93, 114, 98, 113, 121, 104, 89)(64, 96, 109, 123, 108, 90, 102, 97)(82, 107, 92, 112, 95, 116, 94, 105)(85, 110, 100, 118, 120, 106, 119, 111)(115, 125, 117, 126, 127, 122, 128, 124)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 89)(59, 90)(60, 92)(62, 94)(63, 95)(65, 98)(66, 96)(70, 100)(76, 102)(77, 104)(80, 105)(81, 106)(83, 108)(84, 109)(86, 112)(87, 110)(91, 113)(93, 115)(97, 117)(99, 114)(101, 119)(103, 120)(107, 122)(111, 124)(116, 125)(118, 126)(121, 127)(123, 128)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.952
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.951 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1^2 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-2, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 97, 70)(43, 71, 92, 72)(45, 74, 90, 75)(46, 76, 113, 77)(47, 78, 111, 79)(52, 86, 116, 87)(60, 98, 117, 99)(61, 100, 84, 101)(63, 103, 82, 104)(64, 105, 73, 106)(66, 89, 118, 107)(67, 102, 120, 93)(68, 95, 81, 108)(85, 96, 119, 115)(109, 126, 127, 124)(110, 122, 112, 123)(114, 125, 128, 121)
	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, 101)(69, 109)(70, 86)(71, 110)(72, 111)(74, 94)(75, 112)(76, 87)(77, 114)(78, 99)(79, 105)(80, 107)(83, 113)(88, 117)(91, 119)(98, 121)(100, 122)(103, 116)(104, 123)(106, 124)(108, 125)(115, 126)(118, 127)(120, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.949
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.952 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-2)^2, T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1)^2, (T1 * T2)^8, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 93, 70)(43, 71, 109, 72)(45, 74, 102, 75)(46, 76, 89, 77)(47, 78, 113, 79)(52, 86, 116, 87)(60, 98, 85, 99)(61, 100, 68, 101)(63, 103, 119, 104)(64, 105, 81, 106)(66, 107, 120, 92)(67, 90, 118, 97)(73, 111, 84, 95)(82, 115, 117, 96)(108, 121, 114, 124)(110, 125, 127, 123)(112, 126, 128, 122)
	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, 105)(69, 108)(70, 94)(71, 110)(72, 87)(74, 86)(75, 112)(76, 113)(77, 114)(78, 103)(79, 101)(80, 109)(83, 107)(88, 117)(91, 119)(98, 121)(99, 116)(100, 122)(104, 123)(106, 124)(111, 125)(115, 126)(118, 127)(120, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.950
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.953 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 79, 48)(30, 50, 84, 51)(31, 52, 87, 53)(33, 55, 92, 56)(36, 60, 100, 61)(38, 63, 105, 64)(41, 68, 99, 69)(44, 73, 113, 74)(46, 76, 114, 77)(49, 81, 93, 82)(54, 89, 78, 90)(57, 94, 122, 95)(59, 97, 123, 98)(62, 102, 72, 103)(65, 107, 125, 108)(67, 109, 83, 96)(70, 111, 80, 112)(75, 88, 118, 104)(85, 110, 126, 115)(86, 116, 127, 117)(91, 120, 101, 121)(106, 119, 128, 124)(129, 130)(131, 135)(132, 137)(133, 138)(134, 140)(136, 143)(139, 148)(141, 151)(142, 153)(144, 156)(145, 158)(146, 159)(147, 161)(149, 164)(150, 166)(152, 169)(154, 172)(155, 174)(157, 177)(160, 182)(162, 185)(163, 187)(165, 190)(167, 193)(168, 195)(170, 198)(171, 200)(173, 203)(175, 206)(176, 208)(178, 211)(179, 213)(180, 214)(181, 216)(183, 219)(184, 221)(186, 224)(188, 227)(189, 229)(191, 232)(192, 234)(194, 215)(196, 217)(197, 238)(199, 225)(201, 222)(202, 228)(204, 220)(205, 226)(207, 223)(209, 236)(210, 231)(212, 233)(218, 247)(230, 245)(235, 252)(237, 248)(239, 246)(240, 249)(241, 253)(242, 254)(243, 244)(250, 255)(251, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E9.961
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 128 f = 16
	degree seq :: [ 2^64, 4^32 ]

E9.954 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2 * T1 * T2^-2 * T1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1, (T2 * T1)^8, (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, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 79, 48)(30, 50, 84, 51)(31, 52, 87, 53)(33, 55, 92, 56)(36, 60, 100, 61)(38, 63, 105, 64)(41, 68, 88, 69)(44, 73, 113, 74)(46, 76, 114, 77)(49, 81, 104, 82)(54, 89, 67, 90)(57, 94, 122, 95)(59, 97, 123, 98)(62, 102, 83, 103)(65, 107, 85, 108)(70, 110, 126, 111)(72, 96, 78, 112)(75, 99, 121, 93)(80, 115, 125, 109)(86, 116, 106, 117)(91, 119, 128, 120)(101, 124, 127, 118)(129, 130)(131, 135)(132, 137)(133, 138)(134, 140)(136, 143)(139, 148)(141, 151)(142, 153)(144, 156)(145, 158)(146, 159)(147, 161)(149, 164)(150, 166)(152, 169)(154, 172)(155, 174)(157, 177)(160, 182)(162, 185)(163, 187)(165, 190)(167, 193)(168, 195)(170, 198)(171, 200)(173, 203)(175, 206)(176, 208)(178, 211)(179, 213)(180, 214)(181, 216)(183, 219)(184, 221)(186, 224)(188, 227)(189, 229)(191, 232)(192, 234)(194, 226)(196, 231)(197, 237)(199, 228)(201, 233)(202, 225)(204, 223)(205, 215)(207, 220)(209, 238)(210, 217)(212, 222)(218, 246)(230, 247)(235, 244)(236, 249)(239, 248)(240, 245)(241, 253)(242, 254)(243, 252)(250, 255)(251, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E9.962
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 128 f = 16
	degree seq :: [ 2^64, 4^32 ]

E9.955 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T1^-1 * T2^-1 * T1 * T2^-1)^2, T2^8, T2 * T1^-1 * T2^-2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-1 * T1 * T2^-3 * T1^-1 * T2^2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 52, 32, 14, 5)(2, 7, 17, 38, 79, 44, 20, 8)(4, 12, 27, 58, 96, 48, 22, 9)(6, 15, 33, 69, 108, 75, 36, 16)(11, 26, 55, 70, 110, 83, 50, 23)(13, 29, 61, 93, 115, 74, 64, 30)(18, 40, 82, 59, 98, 111, 77, 37)(19, 41, 84, 63, 94, 47, 87, 42)(21, 45, 91, 114, 89, 43, 88, 46)(25, 54, 102, 107, 68, 34, 71, 51)(28, 60, 78, 39, 81, 56, 103, 57)(31, 65, 73, 35, 72, 112, 86, 66)(49, 97, 122, 105, 62, 95, 118, 80)(53, 101, 123, 127, 121, 92, 116, 99)(67, 100, 109, 76, 117, 126, 120, 85)(90, 119, 104, 106, 124, 128, 125, 113)(129, 130, 134, 132)(131, 137, 149, 139)(133, 141, 146, 135)(136, 147, 162, 143)(138, 151, 177, 153)(140, 144, 163, 156)(142, 159, 190, 157)(145, 165, 204, 167)(148, 171, 213, 169)(150, 175, 220, 173)(152, 179, 226, 181)(154, 174, 221, 184)(155, 185, 229, 187)(158, 191, 211, 168)(160, 195, 217, 193)(161, 196, 234, 198)(164, 202, 241, 200)(166, 206, 182, 208)(170, 214, 239, 199)(172, 218, 243, 216)(176, 223, 194, 215)(178, 212, 248, 225)(180, 227, 236, 228)(183, 209, 237, 197)(186, 210, 238, 232)(188, 201, 242, 230)(189, 233, 251, 231)(192, 203, 244, 222)(205, 240, 253, 245)(207, 246, 224, 247)(219, 249, 252, 235)(250, 254, 256, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.963
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.956 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^2 * T1^-1 * T2)^2, T2^8, T2 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 32, 14, 5)(2, 7, 17, 38, 75, 44, 20, 8)(4, 12, 27, 57, 89, 48, 22, 9)(6, 15, 33, 65, 101, 71, 36, 16)(11, 26, 54, 31, 63, 81, 50, 23)(13, 29, 60, 92, 51, 25, 53, 30)(18, 40, 77, 43, 82, 107, 73, 37)(19, 41, 79, 55, 74, 39, 76, 42)(21, 45, 83, 104, 96, 58, 86, 46)(28, 59, 88, 47, 87, 62, 93, 56)(34, 67, 103, 70, 108, 85, 99, 64)(35, 68, 105, 78, 100, 66, 102, 69)(49, 90, 116, 97, 61, 94, 118, 91)(72, 109, 123, 112, 80, 111, 124, 110)(84, 114, 126, 115, 95, 117, 125, 113)(98, 119, 127, 122, 106, 121, 128, 120)(129, 130, 134, 132)(131, 137, 149, 139)(133, 141, 146, 135)(136, 147, 162, 143)(138, 151, 177, 153)(140, 144, 163, 156)(142, 159, 189, 157)(145, 165, 200, 167)(148, 171, 208, 169)(150, 175, 212, 173)(152, 179, 210, 172)(154, 174, 213, 183)(155, 184, 223, 186)(158, 190, 206, 168)(160, 185, 224, 191)(161, 192, 226, 194)(164, 198, 234, 196)(166, 202, 236, 199)(170, 209, 232, 195)(176, 193, 228, 215)(178, 204, 238, 218)(180, 203, 229, 217)(181, 219, 245, 221)(182, 207, 240, 222)(187, 197, 235, 220)(188, 225, 242, 216)(201, 230, 248, 237)(205, 233, 250, 239)(211, 241, 249, 231)(214, 243, 247, 227)(244, 252, 255, 254)(246, 251, 256, 253)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.964
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.957 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, (T2 * T1^-1)^4, (T2 * T1^-1)^4, T1^8, T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 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, 104)(60, 82)(61, 91)(63, 106)(64, 86)(66, 109)(67, 85)(69, 88)(72, 112)(74, 97)(75, 94)(77, 100)(78, 107)(79, 110)(80, 114)(81, 115)(89, 119)(92, 120)(95, 113)(98, 117)(101, 116)(105, 124)(108, 125)(111, 123)(118, 126)(121, 127)(122, 128)(129, 130, 133, 139, 151, 150, 138, 132)(131, 135, 143, 159, 185, 165, 146, 136)(134, 141, 155, 179, 220, 184, 158, 142)(137, 147, 166, 197, 239, 202, 168, 148)(140, 153, 175, 214, 246, 219, 178, 154)(144, 161, 189, 221, 242, 212, 191, 162)(145, 163, 192, 235, 243, 225, 181, 156)(149, 169, 203, 224, 249, 234, 205, 170)(152, 173, 210, 245, 236, 193, 213, 174)(157, 182, 226, 204, 238, 196, 216, 176)(160, 187, 215, 198, 223, 180, 222, 188)(164, 194, 218, 201, 229, 183, 228, 195)(167, 199, 230, 186, 211, 177, 217, 200)(171, 206, 232, 190, 233, 247, 237, 207)(172, 208, 241, 240, 250, 227, 244, 209)(231, 248, 254, 253, 256, 252, 255, 251)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.959
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.958 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, T1^8, (T1^-2 * T2 * T1^-2)^2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 89)(59, 90)(60, 92)(62, 94)(63, 95)(65, 98)(66, 96)(70, 100)(76, 102)(77, 104)(80, 105)(81, 106)(83, 108)(84, 109)(86, 112)(87, 110)(91, 113)(93, 115)(97, 117)(99, 114)(101, 119)(103, 120)(107, 122)(111, 124)(116, 125)(118, 126)(121, 127)(123, 128)(129, 130, 133, 139, 151, 150, 138, 132)(131, 135, 143, 159, 172, 165, 146, 136)(134, 141, 155, 179, 171, 184, 158, 142)(137, 147, 166, 174, 152, 173, 168, 148)(140, 153, 175, 170, 149, 169, 178, 154)(144, 161, 188, 219, 195, 202, 190, 162)(145, 163, 191, 216, 185, 211, 181, 156)(157, 182, 212, 200, 207, 231, 204, 176)(160, 186, 206, 194, 164, 193, 203, 187)(167, 197, 227, 229, 201, 177, 205, 198)(180, 208, 196, 215, 183, 214, 199, 209)(189, 221, 242, 226, 241, 249, 232, 217)(192, 224, 237, 251, 236, 218, 230, 225)(210, 235, 220, 240, 223, 244, 222, 233)(213, 238, 228, 246, 248, 234, 247, 239)(243, 253, 245, 254, 255, 250, 256, 252)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.960
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.959 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, (T2^-1 * T1)^8 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 4, 132)(2, 130, 5, 133, 11, 139, 6, 134)(7, 135, 13, 141, 24, 152, 14, 142)(9, 137, 16, 144, 29, 157, 17, 145)(10, 138, 18, 146, 32, 160, 19, 147)(12, 140, 21, 149, 37, 165, 22, 150)(15, 143, 26, 154, 45, 173, 27, 155)(20, 148, 34, 162, 58, 186, 35, 163)(23, 151, 39, 167, 66, 194, 40, 168)(25, 153, 42, 170, 71, 199, 43, 171)(28, 156, 47, 175, 79, 207, 48, 176)(30, 158, 50, 178, 84, 212, 51, 179)(31, 159, 52, 180, 87, 215, 53, 181)(33, 161, 55, 183, 92, 220, 56, 184)(36, 164, 60, 188, 100, 228, 61, 189)(38, 166, 63, 191, 105, 233, 64, 192)(41, 169, 68, 196, 99, 227, 69, 197)(44, 172, 73, 201, 113, 241, 74, 202)(46, 174, 76, 204, 114, 242, 77, 205)(49, 177, 81, 209, 93, 221, 82, 210)(54, 182, 89, 217, 78, 206, 90, 218)(57, 185, 94, 222, 122, 250, 95, 223)(59, 187, 97, 225, 123, 251, 98, 226)(62, 190, 102, 230, 72, 200, 103, 231)(65, 193, 107, 235, 125, 253, 108, 236)(67, 195, 109, 237, 83, 211, 96, 224)(70, 198, 111, 239, 80, 208, 112, 240)(75, 203, 88, 216, 118, 246, 104, 232)(85, 213, 110, 238, 126, 254, 115, 243)(86, 214, 116, 244, 127, 255, 117, 245)(91, 219, 120, 248, 101, 229, 121, 249)(106, 234, 119, 247, 128, 256, 124, 252)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 138)(6, 140)(7, 131)(8, 143)(9, 132)(10, 133)(11, 148)(12, 134)(13, 151)(14, 153)(15, 136)(16, 156)(17, 158)(18, 159)(19, 161)(20, 139)(21, 164)(22, 166)(23, 141)(24, 169)(25, 142)(26, 172)(27, 174)(28, 144)(29, 177)(30, 145)(31, 146)(32, 182)(33, 147)(34, 185)(35, 187)(36, 149)(37, 190)(38, 150)(39, 193)(40, 195)(41, 152)(42, 198)(43, 200)(44, 154)(45, 203)(46, 155)(47, 206)(48, 208)(49, 157)(50, 211)(51, 213)(52, 214)(53, 216)(54, 160)(55, 219)(56, 221)(57, 162)(58, 224)(59, 163)(60, 227)(61, 229)(62, 165)(63, 232)(64, 234)(65, 167)(66, 215)(67, 168)(68, 217)(69, 238)(70, 170)(71, 225)(72, 171)(73, 222)(74, 228)(75, 173)(76, 220)(77, 226)(78, 175)(79, 223)(80, 176)(81, 236)(82, 231)(83, 178)(84, 233)(85, 179)(86, 180)(87, 194)(88, 181)(89, 196)(90, 247)(91, 183)(92, 204)(93, 184)(94, 201)(95, 207)(96, 186)(97, 199)(98, 205)(99, 188)(100, 202)(101, 189)(102, 245)(103, 210)(104, 191)(105, 212)(106, 192)(107, 252)(108, 209)(109, 248)(110, 197)(111, 246)(112, 249)(113, 253)(114, 254)(115, 244)(116, 243)(117, 230)(118, 239)(119, 218)(120, 237)(121, 240)(122, 255)(123, 256)(124, 235)(125, 241)(126, 242)(127, 250)(128, 251)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.957
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.960 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2 * T1 * T2^-2 * T1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1, (T2 * T1)^8, (T2 * T1 * T2^-1 * T1)^4 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 4, 132)(2, 130, 5, 133, 11, 139, 6, 134)(7, 135, 13, 141, 24, 152, 14, 142)(9, 137, 16, 144, 29, 157, 17, 145)(10, 138, 18, 146, 32, 160, 19, 147)(12, 140, 21, 149, 37, 165, 22, 150)(15, 143, 26, 154, 45, 173, 27, 155)(20, 148, 34, 162, 58, 186, 35, 163)(23, 151, 39, 167, 66, 194, 40, 168)(25, 153, 42, 170, 71, 199, 43, 171)(28, 156, 47, 175, 79, 207, 48, 176)(30, 158, 50, 178, 84, 212, 51, 179)(31, 159, 52, 180, 87, 215, 53, 181)(33, 161, 55, 183, 92, 220, 56, 184)(36, 164, 60, 188, 100, 228, 61, 189)(38, 166, 63, 191, 105, 233, 64, 192)(41, 169, 68, 196, 88, 216, 69, 197)(44, 172, 73, 201, 113, 241, 74, 202)(46, 174, 76, 204, 114, 242, 77, 205)(49, 177, 81, 209, 104, 232, 82, 210)(54, 182, 89, 217, 67, 195, 90, 218)(57, 185, 94, 222, 122, 250, 95, 223)(59, 187, 97, 225, 123, 251, 98, 226)(62, 190, 102, 230, 83, 211, 103, 231)(65, 193, 107, 235, 85, 213, 108, 236)(70, 198, 110, 238, 126, 254, 111, 239)(72, 200, 96, 224, 78, 206, 112, 240)(75, 203, 99, 227, 121, 249, 93, 221)(80, 208, 115, 243, 125, 253, 109, 237)(86, 214, 116, 244, 106, 234, 117, 245)(91, 219, 119, 247, 128, 256, 120, 248)(101, 229, 124, 252, 127, 255, 118, 246)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 138)(6, 140)(7, 131)(8, 143)(9, 132)(10, 133)(11, 148)(12, 134)(13, 151)(14, 153)(15, 136)(16, 156)(17, 158)(18, 159)(19, 161)(20, 139)(21, 164)(22, 166)(23, 141)(24, 169)(25, 142)(26, 172)(27, 174)(28, 144)(29, 177)(30, 145)(31, 146)(32, 182)(33, 147)(34, 185)(35, 187)(36, 149)(37, 190)(38, 150)(39, 193)(40, 195)(41, 152)(42, 198)(43, 200)(44, 154)(45, 203)(46, 155)(47, 206)(48, 208)(49, 157)(50, 211)(51, 213)(52, 214)(53, 216)(54, 160)(55, 219)(56, 221)(57, 162)(58, 224)(59, 163)(60, 227)(61, 229)(62, 165)(63, 232)(64, 234)(65, 167)(66, 226)(67, 168)(68, 231)(69, 237)(70, 170)(71, 228)(72, 171)(73, 233)(74, 225)(75, 173)(76, 223)(77, 215)(78, 175)(79, 220)(80, 176)(81, 238)(82, 217)(83, 178)(84, 222)(85, 179)(86, 180)(87, 205)(88, 181)(89, 210)(90, 246)(91, 183)(92, 207)(93, 184)(94, 212)(95, 204)(96, 186)(97, 202)(98, 194)(99, 188)(100, 199)(101, 189)(102, 247)(103, 196)(104, 191)(105, 201)(106, 192)(107, 244)(108, 249)(109, 197)(110, 209)(111, 248)(112, 245)(113, 253)(114, 254)(115, 252)(116, 235)(117, 240)(118, 218)(119, 230)(120, 239)(121, 236)(122, 255)(123, 256)(124, 243)(125, 241)(126, 242)(127, 250)(128, 251)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.958
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.961 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T1^-1 * T2^-1 * T1 * T2^-1)^2, T2^8, T2 * T1^-1 * T2^-2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-1 * T1 * T2^-3 * T1^-1 * T2^2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1^-2 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 24, 152, 52, 180, 32, 160, 14, 142, 5, 133)(2, 130, 7, 135, 17, 145, 38, 166, 79, 207, 44, 172, 20, 148, 8, 136)(4, 132, 12, 140, 27, 155, 58, 186, 96, 224, 48, 176, 22, 150, 9, 137)(6, 134, 15, 143, 33, 161, 69, 197, 108, 236, 75, 203, 36, 164, 16, 144)(11, 139, 26, 154, 55, 183, 70, 198, 110, 238, 83, 211, 50, 178, 23, 151)(13, 141, 29, 157, 61, 189, 93, 221, 115, 243, 74, 202, 64, 192, 30, 158)(18, 146, 40, 168, 82, 210, 59, 187, 98, 226, 111, 239, 77, 205, 37, 165)(19, 147, 41, 169, 84, 212, 63, 191, 94, 222, 47, 175, 87, 215, 42, 170)(21, 149, 45, 173, 91, 219, 114, 242, 89, 217, 43, 171, 88, 216, 46, 174)(25, 153, 54, 182, 102, 230, 107, 235, 68, 196, 34, 162, 71, 199, 51, 179)(28, 156, 60, 188, 78, 206, 39, 167, 81, 209, 56, 184, 103, 231, 57, 185)(31, 159, 65, 193, 73, 201, 35, 163, 72, 200, 112, 240, 86, 214, 66, 194)(49, 177, 97, 225, 122, 250, 105, 233, 62, 190, 95, 223, 118, 246, 80, 208)(53, 181, 101, 229, 123, 251, 127, 255, 121, 249, 92, 220, 116, 244, 99, 227)(67, 195, 100, 228, 109, 237, 76, 204, 117, 245, 126, 254, 120, 248, 85, 213)(90, 218, 119, 247, 104, 232, 106, 234, 124, 252, 128, 256, 125, 253, 113, 241)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 141)(6, 132)(7, 133)(8, 147)(9, 149)(10, 151)(11, 131)(12, 144)(13, 146)(14, 159)(15, 136)(16, 163)(17, 165)(18, 135)(19, 162)(20, 171)(21, 139)(22, 175)(23, 177)(24, 179)(25, 138)(26, 174)(27, 185)(28, 140)(29, 142)(30, 191)(31, 190)(32, 195)(33, 196)(34, 143)(35, 156)(36, 202)(37, 204)(38, 206)(39, 145)(40, 158)(41, 148)(42, 214)(43, 213)(44, 218)(45, 150)(46, 221)(47, 220)(48, 223)(49, 153)(50, 212)(51, 226)(52, 227)(53, 152)(54, 208)(55, 209)(56, 154)(57, 229)(58, 210)(59, 155)(60, 201)(61, 233)(62, 157)(63, 211)(64, 203)(65, 160)(66, 215)(67, 217)(68, 234)(69, 183)(70, 161)(71, 170)(72, 164)(73, 242)(74, 241)(75, 244)(76, 167)(77, 240)(78, 182)(79, 246)(80, 166)(81, 237)(82, 238)(83, 168)(84, 248)(85, 169)(86, 239)(87, 176)(88, 172)(89, 193)(90, 243)(91, 249)(92, 173)(93, 184)(94, 192)(95, 194)(96, 247)(97, 178)(98, 181)(99, 236)(100, 180)(101, 187)(102, 188)(103, 189)(104, 186)(105, 251)(106, 198)(107, 219)(108, 228)(109, 197)(110, 232)(111, 199)(112, 253)(113, 200)(114, 230)(115, 216)(116, 222)(117, 205)(118, 224)(119, 207)(120, 225)(121, 252)(122, 254)(123, 231)(124, 235)(125, 245)(126, 256)(127, 250)(128, 255)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.953
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 96
	degree seq :: [ 16^16 ]

E9.962 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^2 * T1^-1 * T2)^2, T2^8, T2 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1 * T2 * T1^-1 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 24, 152, 52, 180, 32, 160, 14, 142, 5, 133)(2, 130, 7, 135, 17, 145, 38, 166, 75, 203, 44, 172, 20, 148, 8, 136)(4, 132, 12, 140, 27, 155, 57, 185, 89, 217, 48, 176, 22, 150, 9, 137)(6, 134, 15, 143, 33, 161, 65, 193, 101, 229, 71, 199, 36, 164, 16, 144)(11, 139, 26, 154, 54, 182, 31, 159, 63, 191, 81, 209, 50, 178, 23, 151)(13, 141, 29, 157, 60, 188, 92, 220, 51, 179, 25, 153, 53, 181, 30, 158)(18, 146, 40, 168, 77, 205, 43, 171, 82, 210, 107, 235, 73, 201, 37, 165)(19, 147, 41, 169, 79, 207, 55, 183, 74, 202, 39, 167, 76, 204, 42, 170)(21, 149, 45, 173, 83, 211, 104, 232, 96, 224, 58, 186, 86, 214, 46, 174)(28, 156, 59, 187, 88, 216, 47, 175, 87, 215, 62, 190, 93, 221, 56, 184)(34, 162, 67, 195, 103, 231, 70, 198, 108, 236, 85, 213, 99, 227, 64, 192)(35, 163, 68, 196, 105, 233, 78, 206, 100, 228, 66, 194, 102, 230, 69, 197)(49, 177, 90, 218, 116, 244, 97, 225, 61, 189, 94, 222, 118, 246, 91, 219)(72, 200, 109, 237, 123, 251, 112, 240, 80, 208, 111, 239, 124, 252, 110, 238)(84, 212, 114, 242, 126, 254, 115, 243, 95, 223, 117, 245, 125, 253, 113, 241)(98, 226, 119, 247, 127, 255, 122, 250, 106, 234, 121, 249, 128, 256, 120, 248)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 141)(6, 132)(7, 133)(8, 147)(9, 149)(10, 151)(11, 131)(12, 144)(13, 146)(14, 159)(15, 136)(16, 163)(17, 165)(18, 135)(19, 162)(20, 171)(21, 139)(22, 175)(23, 177)(24, 179)(25, 138)(26, 174)(27, 184)(28, 140)(29, 142)(30, 190)(31, 189)(32, 185)(33, 192)(34, 143)(35, 156)(36, 198)(37, 200)(38, 202)(39, 145)(40, 158)(41, 148)(42, 209)(43, 208)(44, 152)(45, 150)(46, 213)(47, 212)(48, 193)(49, 153)(50, 204)(51, 210)(52, 203)(53, 219)(54, 207)(55, 154)(56, 223)(57, 224)(58, 155)(59, 197)(60, 225)(61, 157)(62, 206)(63, 160)(64, 226)(65, 228)(66, 161)(67, 170)(68, 164)(69, 235)(70, 234)(71, 166)(72, 167)(73, 230)(74, 236)(75, 229)(76, 238)(77, 233)(78, 168)(79, 240)(80, 169)(81, 232)(82, 172)(83, 241)(84, 173)(85, 183)(86, 243)(87, 176)(88, 188)(89, 180)(90, 178)(91, 245)(92, 187)(93, 181)(94, 182)(95, 186)(96, 191)(97, 242)(98, 194)(99, 214)(100, 215)(101, 217)(102, 248)(103, 211)(104, 195)(105, 250)(106, 196)(107, 220)(108, 199)(109, 201)(110, 218)(111, 205)(112, 222)(113, 249)(114, 216)(115, 247)(116, 252)(117, 221)(118, 251)(119, 227)(120, 237)(121, 231)(122, 239)(123, 256)(124, 255)(125, 246)(126, 244)(127, 254)(128, 253)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.954
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 96
	degree seq :: [ 16^16 ]

E9.963 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, (T2 * T1^-1)^4, (T2 * T1^-1)^4, T1^8, T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 36, 164)(19, 147, 39, 167)(20, 148, 33, 161)(22, 150, 43, 171)(23, 151, 44, 172)(25, 153, 48, 176)(26, 154, 49, 177)(27, 155, 52, 180)(30, 158, 55, 183)(31, 159, 58, 186)(34, 162, 62, 190)(35, 163, 65, 193)(37, 165, 68, 196)(38, 166, 70, 198)(40, 168, 73, 201)(41, 169, 76, 204)(42, 170, 71, 199)(45, 173, 83, 211)(46, 174, 84, 212)(47, 175, 87, 215)(50, 178, 90, 218)(51, 179, 93, 221)(53, 181, 96, 224)(54, 182, 99, 227)(56, 184, 102, 230)(57, 185, 103, 231)(59, 187, 104, 232)(60, 188, 82, 210)(61, 189, 91, 219)(63, 191, 106, 234)(64, 192, 86, 214)(66, 194, 109, 237)(67, 195, 85, 213)(69, 197, 88, 216)(72, 200, 112, 240)(74, 202, 97, 225)(75, 203, 94, 222)(77, 205, 100, 228)(78, 206, 107, 235)(79, 207, 110, 238)(80, 208, 114, 242)(81, 209, 115, 243)(89, 217, 119, 247)(92, 220, 120, 248)(95, 223, 113, 241)(98, 226, 117, 245)(101, 229, 116, 244)(105, 233, 124, 252)(108, 236, 125, 253)(111, 239, 123, 251)(118, 246, 126, 254)(121, 249, 127, 255)(122, 250, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 166)(20, 137)(21, 169)(22, 138)(23, 150)(24, 173)(25, 175)(26, 140)(27, 179)(28, 145)(29, 182)(30, 142)(31, 185)(32, 187)(33, 189)(34, 144)(35, 192)(36, 194)(37, 146)(38, 197)(39, 199)(40, 148)(41, 203)(42, 149)(43, 206)(44, 208)(45, 210)(46, 152)(47, 214)(48, 157)(49, 217)(50, 154)(51, 220)(52, 222)(53, 156)(54, 226)(55, 228)(56, 158)(57, 165)(58, 211)(59, 215)(60, 160)(61, 221)(62, 233)(63, 162)(64, 235)(65, 213)(66, 218)(67, 164)(68, 216)(69, 239)(70, 223)(71, 230)(72, 167)(73, 229)(74, 168)(75, 224)(76, 238)(77, 170)(78, 232)(79, 171)(80, 241)(81, 172)(82, 245)(83, 177)(84, 191)(85, 174)(86, 246)(87, 198)(88, 176)(89, 200)(90, 201)(91, 178)(92, 184)(93, 242)(94, 188)(95, 180)(96, 249)(97, 181)(98, 204)(99, 244)(100, 195)(101, 183)(102, 186)(103, 248)(104, 190)(105, 247)(106, 205)(107, 243)(108, 193)(109, 207)(110, 196)(111, 202)(112, 250)(113, 240)(114, 212)(115, 225)(116, 209)(117, 236)(118, 219)(119, 237)(120, 254)(121, 234)(122, 227)(123, 231)(124, 255)(125, 256)(126, 253)(127, 251)(128, 252)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.955
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.964 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, T1^8, (T1^-2 * T2 * T1^-2)^2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 36, 164)(19, 147, 39, 167)(20, 148, 33, 161)(22, 150, 43, 171)(23, 151, 44, 172)(25, 153, 48, 176)(26, 154, 49, 177)(27, 155, 52, 180)(30, 158, 55, 183)(31, 159, 57, 185)(34, 162, 61, 189)(35, 163, 64, 192)(37, 165, 67, 195)(38, 166, 68, 196)(40, 168, 71, 199)(41, 169, 72, 200)(42, 170, 69, 197)(45, 173, 73, 201)(46, 174, 74, 202)(47, 175, 75, 203)(50, 178, 78, 206)(51, 179, 79, 207)(53, 181, 82, 210)(54, 182, 85, 213)(56, 184, 88, 216)(58, 186, 89, 217)(59, 187, 90, 218)(60, 188, 92, 220)(62, 190, 94, 222)(63, 191, 95, 223)(65, 193, 98, 226)(66, 194, 96, 224)(70, 198, 100, 228)(76, 204, 102, 230)(77, 205, 104, 232)(80, 208, 105, 233)(81, 209, 106, 234)(83, 211, 108, 236)(84, 212, 109, 237)(86, 214, 112, 240)(87, 215, 110, 238)(91, 219, 113, 241)(93, 221, 115, 243)(97, 225, 117, 245)(99, 227, 114, 242)(101, 229, 119, 247)(103, 231, 120, 248)(107, 235, 122, 250)(111, 239, 124, 252)(116, 244, 125, 253)(118, 246, 126, 254)(121, 249, 127, 255)(123, 251, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 166)(20, 137)(21, 169)(22, 138)(23, 150)(24, 173)(25, 175)(26, 140)(27, 179)(28, 145)(29, 182)(30, 142)(31, 172)(32, 186)(33, 188)(34, 144)(35, 191)(36, 193)(37, 146)(38, 174)(39, 197)(40, 148)(41, 178)(42, 149)(43, 184)(44, 165)(45, 168)(46, 152)(47, 170)(48, 157)(49, 205)(50, 154)(51, 171)(52, 208)(53, 156)(54, 212)(55, 214)(56, 158)(57, 211)(58, 206)(59, 160)(60, 219)(61, 221)(62, 162)(63, 216)(64, 224)(65, 203)(66, 164)(67, 202)(68, 215)(69, 227)(70, 167)(71, 209)(72, 207)(73, 177)(74, 190)(75, 187)(76, 176)(77, 198)(78, 194)(79, 231)(80, 196)(81, 180)(82, 235)(83, 181)(84, 200)(85, 238)(86, 199)(87, 183)(88, 185)(89, 189)(90, 230)(91, 195)(92, 240)(93, 242)(94, 233)(95, 244)(96, 237)(97, 192)(98, 241)(99, 229)(100, 246)(101, 201)(102, 225)(103, 204)(104, 217)(105, 210)(106, 247)(107, 220)(108, 218)(109, 251)(110, 228)(111, 213)(112, 223)(113, 249)(114, 226)(115, 253)(116, 222)(117, 254)(118, 248)(119, 239)(120, 234)(121, 232)(122, 256)(123, 236)(124, 243)(125, 245)(126, 255)(127, 250)(128, 252)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.956
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.965 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, Y2^-1 * R * Y2^2 * R * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * R * Y2^2 * R * Y2 * Y1 * Y2^-1 * R * Y2^2 * R * Y2^-1 * Y1, Y2 * Y1 * Y2 * R * Y2^2 * R * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 25, 153)(16, 144, 28, 156)(17, 145, 30, 158)(18, 146, 31, 159)(19, 147, 33, 161)(21, 149, 36, 164)(22, 150, 38, 166)(24, 152, 41, 169)(26, 154, 44, 172)(27, 155, 46, 174)(29, 157, 49, 177)(32, 160, 54, 182)(34, 162, 57, 185)(35, 163, 59, 187)(37, 165, 62, 190)(39, 167, 65, 193)(40, 168, 67, 195)(42, 170, 70, 198)(43, 171, 72, 200)(45, 173, 75, 203)(47, 175, 78, 206)(48, 176, 80, 208)(50, 178, 83, 211)(51, 179, 85, 213)(52, 180, 86, 214)(53, 181, 88, 216)(55, 183, 91, 219)(56, 184, 93, 221)(58, 186, 96, 224)(60, 188, 99, 227)(61, 189, 101, 229)(63, 191, 104, 232)(64, 192, 106, 234)(66, 194, 87, 215)(68, 196, 89, 217)(69, 197, 110, 238)(71, 199, 97, 225)(73, 201, 94, 222)(74, 202, 100, 228)(76, 204, 92, 220)(77, 205, 98, 226)(79, 207, 95, 223)(81, 209, 108, 236)(82, 210, 103, 231)(84, 212, 105, 233)(90, 218, 119, 247)(102, 230, 117, 245)(107, 235, 124, 252)(109, 237, 120, 248)(111, 239, 118, 246)(112, 240, 121, 249)(113, 241, 125, 253)(114, 242, 126, 254)(115, 243, 116, 244)(122, 250, 127, 255)(123, 251, 128, 256)(257, 385, 259, 387, 264, 392, 260, 388)(258, 386, 261, 389, 267, 395, 262, 390)(263, 391, 269, 397, 280, 408, 270, 398)(265, 393, 272, 400, 285, 413, 273, 401)(266, 394, 274, 402, 288, 416, 275, 403)(268, 396, 277, 405, 293, 421, 278, 406)(271, 399, 282, 410, 301, 429, 283, 411)(276, 404, 290, 418, 314, 442, 291, 419)(279, 407, 295, 423, 322, 450, 296, 424)(281, 409, 298, 426, 327, 455, 299, 427)(284, 412, 303, 431, 335, 463, 304, 432)(286, 414, 306, 434, 340, 468, 307, 435)(287, 415, 308, 436, 343, 471, 309, 437)(289, 417, 311, 439, 348, 476, 312, 440)(292, 420, 316, 444, 356, 484, 317, 445)(294, 422, 319, 447, 361, 489, 320, 448)(297, 425, 324, 452, 355, 483, 325, 453)(300, 428, 329, 457, 369, 497, 330, 458)(302, 430, 332, 460, 370, 498, 333, 461)(305, 433, 337, 465, 349, 477, 338, 466)(310, 438, 345, 473, 334, 462, 346, 474)(313, 441, 350, 478, 378, 506, 351, 479)(315, 443, 353, 481, 379, 507, 354, 482)(318, 446, 358, 486, 328, 456, 359, 487)(321, 449, 363, 491, 381, 509, 364, 492)(323, 451, 365, 493, 339, 467, 352, 480)(326, 454, 367, 495, 336, 464, 368, 496)(331, 459, 344, 472, 374, 502, 360, 488)(341, 469, 366, 494, 382, 510, 371, 499)(342, 470, 372, 500, 383, 511, 373, 501)(347, 475, 376, 504, 357, 485, 377, 505)(362, 490, 375, 503, 384, 512, 380, 508)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 266)(6, 268)(7, 259)(8, 271)(9, 260)(10, 261)(11, 276)(12, 262)(13, 279)(14, 281)(15, 264)(16, 284)(17, 286)(18, 287)(19, 289)(20, 267)(21, 292)(22, 294)(23, 269)(24, 297)(25, 270)(26, 300)(27, 302)(28, 272)(29, 305)(30, 273)(31, 274)(32, 310)(33, 275)(34, 313)(35, 315)(36, 277)(37, 318)(38, 278)(39, 321)(40, 323)(41, 280)(42, 326)(43, 328)(44, 282)(45, 331)(46, 283)(47, 334)(48, 336)(49, 285)(50, 339)(51, 341)(52, 342)(53, 344)(54, 288)(55, 347)(56, 349)(57, 290)(58, 352)(59, 291)(60, 355)(61, 357)(62, 293)(63, 360)(64, 362)(65, 295)(66, 343)(67, 296)(68, 345)(69, 366)(70, 298)(71, 353)(72, 299)(73, 350)(74, 356)(75, 301)(76, 348)(77, 354)(78, 303)(79, 351)(80, 304)(81, 364)(82, 359)(83, 306)(84, 361)(85, 307)(86, 308)(87, 322)(88, 309)(89, 324)(90, 375)(91, 311)(92, 332)(93, 312)(94, 329)(95, 335)(96, 314)(97, 327)(98, 333)(99, 316)(100, 330)(101, 317)(102, 373)(103, 338)(104, 319)(105, 340)(106, 320)(107, 380)(108, 337)(109, 376)(110, 325)(111, 374)(112, 377)(113, 381)(114, 382)(115, 372)(116, 371)(117, 358)(118, 367)(119, 346)(120, 365)(121, 368)(122, 383)(123, 384)(124, 363)(125, 369)(126, 370)(127, 378)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.971
Graph:: bipartite
	v = 96 e = 256 f = 144
	degree seq :: [ 4^64, 8^32 ]

E9.966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^8, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 25, 153)(16, 144, 28, 156)(17, 145, 30, 158)(18, 146, 31, 159)(19, 147, 33, 161)(21, 149, 36, 164)(22, 150, 38, 166)(24, 152, 41, 169)(26, 154, 44, 172)(27, 155, 46, 174)(29, 157, 49, 177)(32, 160, 54, 182)(34, 162, 57, 185)(35, 163, 59, 187)(37, 165, 62, 190)(39, 167, 65, 193)(40, 168, 67, 195)(42, 170, 70, 198)(43, 171, 72, 200)(45, 173, 75, 203)(47, 175, 78, 206)(48, 176, 80, 208)(50, 178, 83, 211)(51, 179, 85, 213)(52, 180, 86, 214)(53, 181, 88, 216)(55, 183, 91, 219)(56, 184, 93, 221)(58, 186, 96, 224)(60, 188, 99, 227)(61, 189, 101, 229)(63, 191, 104, 232)(64, 192, 106, 234)(66, 194, 98, 226)(68, 196, 103, 231)(69, 197, 109, 237)(71, 199, 100, 228)(73, 201, 105, 233)(74, 202, 97, 225)(76, 204, 95, 223)(77, 205, 87, 215)(79, 207, 92, 220)(81, 209, 110, 238)(82, 210, 89, 217)(84, 212, 94, 222)(90, 218, 118, 246)(102, 230, 119, 247)(107, 235, 116, 244)(108, 236, 121, 249)(111, 239, 120, 248)(112, 240, 117, 245)(113, 241, 125, 253)(114, 242, 126, 254)(115, 243, 124, 252)(122, 250, 127, 255)(123, 251, 128, 256)(257, 385, 259, 387, 264, 392, 260, 388)(258, 386, 261, 389, 267, 395, 262, 390)(263, 391, 269, 397, 280, 408, 270, 398)(265, 393, 272, 400, 285, 413, 273, 401)(266, 394, 274, 402, 288, 416, 275, 403)(268, 396, 277, 405, 293, 421, 278, 406)(271, 399, 282, 410, 301, 429, 283, 411)(276, 404, 290, 418, 314, 442, 291, 419)(279, 407, 295, 423, 322, 450, 296, 424)(281, 409, 298, 426, 327, 455, 299, 427)(284, 412, 303, 431, 335, 463, 304, 432)(286, 414, 306, 434, 340, 468, 307, 435)(287, 415, 308, 436, 343, 471, 309, 437)(289, 417, 311, 439, 348, 476, 312, 440)(292, 420, 316, 444, 356, 484, 317, 445)(294, 422, 319, 447, 361, 489, 320, 448)(297, 425, 324, 452, 344, 472, 325, 453)(300, 428, 329, 457, 369, 497, 330, 458)(302, 430, 332, 460, 370, 498, 333, 461)(305, 433, 337, 465, 360, 488, 338, 466)(310, 438, 345, 473, 323, 451, 346, 474)(313, 441, 350, 478, 378, 506, 351, 479)(315, 443, 353, 481, 379, 507, 354, 482)(318, 446, 358, 486, 339, 467, 359, 487)(321, 449, 363, 491, 341, 469, 364, 492)(326, 454, 366, 494, 382, 510, 367, 495)(328, 456, 352, 480, 334, 462, 368, 496)(331, 459, 355, 483, 377, 505, 349, 477)(336, 464, 371, 499, 381, 509, 365, 493)(342, 470, 372, 500, 362, 490, 373, 501)(347, 475, 375, 503, 384, 512, 376, 504)(357, 485, 380, 508, 383, 511, 374, 502)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 266)(6, 268)(7, 259)(8, 271)(9, 260)(10, 261)(11, 276)(12, 262)(13, 279)(14, 281)(15, 264)(16, 284)(17, 286)(18, 287)(19, 289)(20, 267)(21, 292)(22, 294)(23, 269)(24, 297)(25, 270)(26, 300)(27, 302)(28, 272)(29, 305)(30, 273)(31, 274)(32, 310)(33, 275)(34, 313)(35, 315)(36, 277)(37, 318)(38, 278)(39, 321)(40, 323)(41, 280)(42, 326)(43, 328)(44, 282)(45, 331)(46, 283)(47, 334)(48, 336)(49, 285)(50, 339)(51, 341)(52, 342)(53, 344)(54, 288)(55, 347)(56, 349)(57, 290)(58, 352)(59, 291)(60, 355)(61, 357)(62, 293)(63, 360)(64, 362)(65, 295)(66, 354)(67, 296)(68, 359)(69, 365)(70, 298)(71, 356)(72, 299)(73, 361)(74, 353)(75, 301)(76, 351)(77, 343)(78, 303)(79, 348)(80, 304)(81, 366)(82, 345)(83, 306)(84, 350)(85, 307)(86, 308)(87, 333)(88, 309)(89, 338)(90, 374)(91, 311)(92, 335)(93, 312)(94, 340)(95, 332)(96, 314)(97, 330)(98, 322)(99, 316)(100, 327)(101, 317)(102, 375)(103, 324)(104, 319)(105, 329)(106, 320)(107, 372)(108, 377)(109, 325)(110, 337)(111, 376)(112, 373)(113, 381)(114, 382)(115, 380)(116, 363)(117, 368)(118, 346)(119, 358)(120, 367)(121, 364)(122, 383)(123, 384)(124, 371)(125, 369)(126, 370)(127, 378)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.972
Graph:: bipartite
	v = 96 e = 256 f = 144
	degree seq :: [ 4^64, 8^32 ]

E9.967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2^8, Y2 * Y1^-1 * Y2^-3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-3 * Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^4 * Y1^-1 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 49, 177, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 62, 190, 29, 157)(17, 145, 37, 165, 76, 204, 39, 167)(20, 148, 43, 171, 85, 213, 41, 169)(22, 150, 47, 175, 92, 220, 45, 173)(24, 152, 51, 179, 98, 226, 53, 181)(26, 154, 46, 174, 93, 221, 56, 184)(27, 155, 57, 185, 101, 229, 59, 187)(30, 158, 63, 191, 83, 211, 40, 168)(32, 160, 67, 195, 89, 217, 65, 193)(33, 161, 68, 196, 106, 234, 70, 198)(36, 164, 74, 202, 113, 241, 72, 200)(38, 166, 78, 206, 54, 182, 80, 208)(42, 170, 86, 214, 111, 239, 71, 199)(44, 172, 90, 218, 115, 243, 88, 216)(48, 176, 95, 223, 66, 194, 87, 215)(50, 178, 84, 212, 120, 248, 97, 225)(52, 180, 99, 227, 108, 236, 100, 228)(55, 183, 81, 209, 109, 237, 69, 197)(58, 186, 82, 210, 110, 238, 104, 232)(60, 188, 73, 201, 114, 242, 102, 230)(61, 189, 105, 233, 123, 251, 103, 231)(64, 192, 75, 203, 116, 244, 94, 222)(77, 205, 112, 240, 125, 253, 117, 245)(79, 207, 118, 246, 96, 224, 119, 247)(91, 219, 121, 249, 124, 252, 107, 235)(122, 250, 126, 254, 128, 256, 127, 255)(257, 385, 259, 387, 266, 394, 280, 408, 308, 436, 288, 416, 270, 398, 261, 389)(258, 386, 263, 391, 273, 401, 294, 422, 335, 463, 300, 428, 276, 404, 264, 392)(260, 388, 268, 396, 283, 411, 314, 442, 352, 480, 304, 432, 278, 406, 265, 393)(262, 390, 271, 399, 289, 417, 325, 453, 364, 492, 331, 459, 292, 420, 272, 400)(267, 395, 282, 410, 311, 439, 326, 454, 366, 494, 339, 467, 306, 434, 279, 407)(269, 397, 285, 413, 317, 445, 349, 477, 371, 499, 330, 458, 320, 448, 286, 414)(274, 402, 296, 424, 338, 466, 315, 443, 354, 482, 367, 495, 333, 461, 293, 421)(275, 403, 297, 425, 340, 468, 319, 447, 350, 478, 303, 431, 343, 471, 298, 426)(277, 405, 301, 429, 347, 475, 370, 498, 345, 473, 299, 427, 344, 472, 302, 430)(281, 409, 310, 438, 358, 486, 363, 491, 324, 452, 290, 418, 327, 455, 307, 435)(284, 412, 316, 444, 334, 462, 295, 423, 337, 465, 312, 440, 359, 487, 313, 441)(287, 415, 321, 449, 329, 457, 291, 419, 328, 456, 368, 496, 342, 470, 322, 450)(305, 433, 353, 481, 378, 506, 361, 489, 318, 446, 351, 479, 374, 502, 336, 464)(309, 437, 357, 485, 379, 507, 383, 511, 377, 505, 348, 476, 372, 500, 355, 483)(323, 451, 356, 484, 365, 493, 332, 460, 373, 501, 382, 510, 376, 504, 341, 469)(346, 474, 375, 503, 360, 488, 362, 490, 380, 508, 384, 512, 381, 509, 369, 497)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 301)(22, 265)(23, 267)(24, 308)(25, 310)(26, 311)(27, 314)(28, 316)(29, 317)(30, 269)(31, 321)(32, 270)(33, 325)(34, 327)(35, 328)(36, 272)(37, 274)(38, 335)(39, 337)(40, 338)(41, 340)(42, 275)(43, 344)(44, 276)(45, 347)(46, 277)(47, 343)(48, 278)(49, 353)(50, 279)(51, 281)(52, 288)(53, 357)(54, 358)(55, 326)(56, 359)(57, 284)(58, 352)(59, 354)(60, 334)(61, 349)(62, 351)(63, 350)(64, 286)(65, 329)(66, 287)(67, 356)(68, 290)(69, 364)(70, 366)(71, 307)(72, 368)(73, 291)(74, 320)(75, 292)(76, 373)(77, 293)(78, 295)(79, 300)(80, 305)(81, 312)(82, 315)(83, 306)(84, 319)(85, 323)(86, 322)(87, 298)(88, 302)(89, 299)(90, 375)(91, 370)(92, 372)(93, 371)(94, 303)(95, 374)(96, 304)(97, 378)(98, 367)(99, 309)(100, 365)(101, 379)(102, 363)(103, 313)(104, 362)(105, 318)(106, 380)(107, 324)(108, 331)(109, 332)(110, 339)(111, 333)(112, 342)(113, 346)(114, 345)(115, 330)(116, 355)(117, 382)(118, 336)(119, 360)(120, 341)(121, 348)(122, 361)(123, 383)(124, 384)(125, 369)(126, 376)(127, 377)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.969
Graph:: bipartite
	v = 48 e = 256 f = 192
	degree seq :: [ 8^32, 16^16 ]

E9.968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y1^-1 * Y2^-1)^2, R * Y2 * R * Y3, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2^8, (Y2^3 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 49, 177, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 61, 189, 29, 157)(17, 145, 37, 165, 72, 200, 39, 167)(20, 148, 43, 171, 80, 208, 41, 169)(22, 150, 47, 175, 84, 212, 45, 173)(24, 152, 51, 179, 82, 210, 44, 172)(26, 154, 46, 174, 85, 213, 55, 183)(27, 155, 56, 184, 95, 223, 58, 186)(30, 158, 62, 190, 78, 206, 40, 168)(32, 160, 57, 185, 96, 224, 63, 191)(33, 161, 64, 192, 98, 226, 66, 194)(36, 164, 70, 198, 106, 234, 68, 196)(38, 166, 74, 202, 108, 236, 71, 199)(42, 170, 81, 209, 104, 232, 67, 195)(48, 176, 65, 193, 100, 228, 87, 215)(50, 178, 76, 204, 110, 238, 90, 218)(52, 180, 75, 203, 101, 229, 89, 217)(53, 181, 91, 219, 117, 245, 93, 221)(54, 182, 79, 207, 112, 240, 94, 222)(59, 187, 69, 197, 107, 235, 92, 220)(60, 188, 97, 225, 114, 242, 88, 216)(73, 201, 102, 230, 120, 248, 109, 237)(77, 205, 105, 233, 122, 250, 111, 239)(83, 211, 113, 241, 121, 249, 103, 231)(86, 214, 115, 243, 119, 247, 99, 227)(116, 244, 124, 252, 127, 255, 126, 254)(118, 246, 123, 251, 128, 256, 125, 253)(257, 385, 259, 387, 266, 394, 280, 408, 308, 436, 288, 416, 270, 398, 261, 389)(258, 386, 263, 391, 273, 401, 294, 422, 331, 459, 300, 428, 276, 404, 264, 392)(260, 388, 268, 396, 283, 411, 313, 441, 345, 473, 304, 432, 278, 406, 265, 393)(262, 390, 271, 399, 289, 417, 321, 449, 357, 485, 327, 455, 292, 420, 272, 400)(267, 395, 282, 410, 310, 438, 287, 415, 319, 447, 337, 465, 306, 434, 279, 407)(269, 397, 285, 413, 316, 444, 348, 476, 307, 435, 281, 409, 309, 437, 286, 414)(274, 402, 296, 424, 333, 461, 299, 427, 338, 466, 363, 491, 329, 457, 293, 421)(275, 403, 297, 425, 335, 463, 311, 439, 330, 458, 295, 423, 332, 460, 298, 426)(277, 405, 301, 429, 339, 467, 360, 488, 352, 480, 314, 442, 342, 470, 302, 430)(284, 412, 315, 443, 344, 472, 303, 431, 343, 471, 318, 446, 349, 477, 312, 440)(290, 418, 323, 451, 359, 487, 326, 454, 364, 492, 341, 469, 355, 483, 320, 448)(291, 419, 324, 452, 361, 489, 334, 462, 356, 484, 322, 450, 358, 486, 325, 453)(305, 433, 346, 474, 372, 500, 353, 481, 317, 445, 350, 478, 374, 502, 347, 475)(328, 456, 365, 493, 379, 507, 368, 496, 336, 464, 367, 495, 380, 508, 366, 494)(340, 468, 370, 498, 382, 510, 371, 499, 351, 479, 373, 501, 381, 509, 369, 497)(354, 482, 375, 503, 383, 511, 378, 506, 362, 490, 377, 505, 384, 512, 376, 504)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 301)(22, 265)(23, 267)(24, 308)(25, 309)(26, 310)(27, 313)(28, 315)(29, 316)(30, 269)(31, 319)(32, 270)(33, 321)(34, 323)(35, 324)(36, 272)(37, 274)(38, 331)(39, 332)(40, 333)(41, 335)(42, 275)(43, 338)(44, 276)(45, 339)(46, 277)(47, 343)(48, 278)(49, 346)(50, 279)(51, 281)(52, 288)(53, 286)(54, 287)(55, 330)(56, 284)(57, 345)(58, 342)(59, 344)(60, 348)(61, 350)(62, 349)(63, 337)(64, 290)(65, 357)(66, 358)(67, 359)(68, 361)(69, 291)(70, 364)(71, 292)(72, 365)(73, 293)(74, 295)(75, 300)(76, 298)(77, 299)(78, 356)(79, 311)(80, 367)(81, 306)(82, 363)(83, 360)(84, 370)(85, 355)(86, 302)(87, 318)(88, 303)(89, 304)(90, 372)(91, 305)(92, 307)(93, 312)(94, 374)(95, 373)(96, 314)(97, 317)(98, 375)(99, 320)(100, 322)(101, 327)(102, 325)(103, 326)(104, 352)(105, 334)(106, 377)(107, 329)(108, 341)(109, 379)(110, 328)(111, 380)(112, 336)(113, 340)(114, 382)(115, 351)(116, 353)(117, 381)(118, 347)(119, 383)(120, 354)(121, 384)(122, 362)(123, 368)(124, 366)(125, 369)(126, 371)(127, 378)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.970
Graph:: bipartite
	v = 48 e = 256 f = 192
	degree seq :: [ 8^32, 16^16 ]

E9.969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|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 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-3, Y3^3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 284, 412)(272, 400, 288, 416)(274, 402, 292, 420)(275, 403, 294, 422)(276, 404, 279, 407)(278, 406, 299, 427)(280, 408, 301, 429)(282, 410, 305, 433)(283, 411, 307, 435)(286, 414, 312, 440)(287, 415, 313, 441)(289, 417, 317, 445)(290, 418, 316, 444)(291, 419, 320, 448)(293, 421, 324, 452)(295, 423, 327, 455)(296, 424, 329, 457)(297, 425, 331, 459)(298, 426, 325, 453)(300, 428, 336, 464)(302, 430, 340, 468)(303, 431, 339, 467)(304, 432, 343, 471)(306, 434, 347, 475)(308, 436, 350, 478)(309, 437, 352, 480)(310, 438, 354, 482)(311, 439, 348, 476)(314, 442, 337, 465)(315, 443, 361, 489)(318, 446, 346, 474)(319, 447, 342, 470)(321, 449, 355, 483)(322, 450, 345, 473)(323, 451, 341, 469)(326, 454, 367, 495)(328, 456, 357, 485)(330, 458, 353, 481)(332, 460, 344, 472)(333, 461, 356, 484)(334, 462, 351, 479)(335, 463, 358, 486)(338, 466, 371, 499)(349, 477, 377, 505)(359, 487, 379, 507)(360, 488, 375, 503)(362, 490, 374, 502)(363, 491, 380, 508)(364, 492, 372, 500)(365, 493, 370, 498)(366, 494, 378, 506)(368, 496, 376, 504)(369, 497, 382, 510)(373, 501, 383, 511)(381, 509, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 287)(16, 263)(17, 290)(18, 293)(19, 295)(20, 265)(21, 297)(22, 266)(23, 300)(24, 267)(25, 303)(26, 306)(27, 308)(28, 269)(29, 310)(30, 270)(31, 314)(32, 315)(33, 272)(34, 319)(35, 273)(36, 322)(37, 278)(38, 325)(39, 328)(40, 276)(41, 332)(42, 277)(43, 334)(44, 337)(45, 338)(46, 280)(47, 342)(48, 281)(49, 345)(50, 286)(51, 348)(52, 351)(53, 284)(54, 355)(55, 285)(56, 357)(57, 344)(58, 360)(59, 362)(60, 288)(61, 356)(62, 289)(63, 350)(64, 364)(65, 291)(66, 343)(67, 292)(68, 365)(69, 346)(70, 294)(71, 359)(72, 368)(73, 363)(74, 296)(75, 358)(76, 352)(77, 298)(78, 339)(79, 299)(80, 321)(81, 370)(82, 372)(83, 301)(84, 333)(85, 302)(86, 327)(87, 374)(88, 304)(89, 320)(90, 305)(91, 375)(92, 323)(93, 307)(94, 369)(95, 378)(96, 373)(97, 309)(98, 335)(99, 329)(100, 311)(101, 316)(102, 312)(103, 313)(104, 318)(105, 380)(106, 331)(107, 317)(108, 326)(109, 379)(110, 324)(111, 381)(112, 330)(113, 336)(114, 341)(115, 383)(116, 354)(117, 340)(118, 349)(119, 382)(120, 347)(121, 384)(122, 353)(123, 367)(124, 366)(125, 361)(126, 377)(127, 376)(128, 371)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.967
Graph:: simple bipartite
	v = 192 e = 256 f = 48
	degree seq :: [ 2^128, 4^64 ]

E9.970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, (Y3 * Y2)^4, (Y3^-1 * Y2 * Y3^-3)^2, Y3^-3 * Y2 * Y3^4 * Y2 * Y3^-1, Y3 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3, (Y3^-1 * Y1^-1)^8, (Y3 * Y2 * Y3^-1 * Y2)^4 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 284, 412)(272, 400, 288, 416)(274, 402, 292, 420)(275, 403, 294, 422)(276, 404, 279, 407)(278, 406, 299, 427)(280, 408, 301, 429)(282, 410, 305, 433)(283, 411, 307, 435)(286, 414, 312, 440)(287, 415, 313, 441)(289, 417, 317, 445)(290, 418, 316, 444)(291, 419, 320, 448)(293, 421, 306, 434)(295, 423, 326, 454)(296, 424, 327, 455)(297, 425, 328, 456)(298, 426, 324, 452)(300, 428, 329, 457)(302, 430, 333, 461)(303, 431, 332, 460)(304, 432, 336, 464)(308, 436, 342, 470)(309, 437, 343, 471)(310, 438, 344, 472)(311, 439, 340, 468)(314, 442, 347, 475)(315, 443, 348, 476)(318, 446, 339, 467)(319, 447, 337, 465)(321, 449, 335, 463)(322, 450, 354, 482)(323, 451, 334, 462)(325, 453, 356, 484)(330, 458, 359, 487)(331, 459, 360, 488)(338, 466, 366, 494)(341, 469, 368, 496)(345, 473, 363, 491)(346, 474, 369, 497)(349, 477, 367, 495)(350, 478, 365, 493)(351, 479, 357, 485)(352, 480, 371, 499)(353, 481, 362, 490)(355, 483, 361, 489)(358, 486, 375, 503)(364, 492, 377, 505)(370, 498, 382, 510)(372, 500, 378, 506)(373, 501, 381, 509)(374, 502, 380, 508)(376, 504, 384, 512)(379, 507, 383, 511)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 287)(16, 263)(17, 290)(18, 293)(19, 295)(20, 265)(21, 297)(22, 266)(23, 300)(24, 267)(25, 303)(26, 306)(27, 308)(28, 269)(29, 310)(30, 270)(31, 314)(32, 315)(33, 272)(34, 319)(35, 273)(36, 322)(37, 278)(38, 324)(39, 323)(40, 276)(41, 321)(42, 277)(43, 318)(44, 330)(45, 331)(46, 280)(47, 335)(48, 281)(49, 338)(50, 286)(51, 340)(52, 339)(53, 284)(54, 337)(55, 285)(56, 334)(57, 345)(58, 299)(59, 349)(60, 288)(61, 351)(62, 289)(63, 298)(64, 353)(65, 291)(66, 296)(67, 292)(68, 355)(69, 294)(70, 352)(71, 346)(72, 347)(73, 357)(74, 312)(75, 361)(76, 301)(77, 363)(78, 302)(79, 311)(80, 365)(81, 304)(82, 309)(83, 305)(84, 367)(85, 307)(86, 364)(87, 358)(88, 359)(89, 326)(90, 313)(91, 370)(92, 371)(93, 328)(94, 316)(95, 327)(96, 317)(97, 325)(98, 320)(99, 373)(100, 374)(101, 342)(102, 329)(103, 376)(104, 377)(105, 344)(106, 332)(107, 343)(108, 333)(109, 341)(110, 336)(111, 379)(112, 380)(113, 381)(114, 350)(115, 356)(116, 348)(117, 354)(118, 382)(119, 383)(120, 362)(121, 368)(122, 360)(123, 366)(124, 384)(125, 372)(126, 369)(127, 378)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.968
Graph:: simple bipartite
	v = 192 e = 256 f = 48
	degree seq :: [ 2^128, 4^64 ]

E9.971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1 * Y3)^4, (Y3 * Y1^-1)^4, Y1^8, Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^2, (Y3 * Y1^3 * Y3 * Y1^-1)^2, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 57, 185, 37, 165, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 51, 179, 92, 220, 56, 184, 30, 158, 14, 142)(9, 137, 19, 147, 38, 166, 69, 197, 111, 239, 74, 202, 40, 168, 20, 148)(12, 140, 25, 153, 47, 175, 86, 214, 118, 246, 91, 219, 50, 178, 26, 154)(16, 144, 33, 161, 61, 189, 93, 221, 114, 242, 84, 212, 63, 191, 34, 162)(17, 145, 35, 163, 64, 192, 107, 235, 115, 243, 97, 225, 53, 181, 28, 156)(21, 149, 41, 169, 75, 203, 96, 224, 121, 249, 106, 234, 77, 205, 42, 170)(24, 152, 45, 173, 82, 210, 117, 245, 108, 236, 65, 193, 85, 213, 46, 174)(29, 157, 54, 182, 98, 226, 76, 204, 110, 238, 68, 196, 88, 216, 48, 176)(32, 160, 59, 187, 87, 215, 70, 198, 95, 223, 52, 180, 94, 222, 60, 188)(36, 164, 66, 194, 90, 218, 73, 201, 101, 229, 55, 183, 100, 228, 67, 195)(39, 167, 71, 199, 102, 230, 58, 186, 83, 211, 49, 177, 89, 217, 72, 200)(43, 171, 78, 206, 104, 232, 62, 190, 105, 233, 119, 247, 109, 237, 79, 207)(44, 172, 80, 208, 113, 241, 112, 240, 122, 250, 99, 227, 116, 244, 81, 209)(103, 231, 120, 248, 126, 254, 125, 253, 128, 256, 124, 252, 127, 255, 123, 251)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 292)(19, 295)(20, 289)(21, 266)(22, 299)(23, 300)(24, 267)(25, 304)(26, 305)(27, 308)(28, 269)(29, 270)(30, 311)(31, 314)(32, 271)(33, 276)(34, 318)(35, 321)(36, 274)(37, 324)(38, 326)(39, 275)(40, 329)(41, 332)(42, 327)(43, 278)(44, 279)(45, 339)(46, 340)(47, 343)(48, 281)(49, 282)(50, 346)(51, 349)(52, 283)(53, 352)(54, 355)(55, 286)(56, 358)(57, 359)(58, 287)(59, 360)(60, 338)(61, 347)(62, 290)(63, 362)(64, 342)(65, 291)(66, 365)(67, 341)(68, 293)(69, 344)(70, 294)(71, 298)(72, 368)(73, 296)(74, 353)(75, 350)(76, 297)(77, 356)(78, 363)(79, 366)(80, 370)(81, 371)(82, 316)(83, 301)(84, 302)(85, 323)(86, 320)(87, 303)(88, 325)(89, 375)(90, 306)(91, 317)(92, 376)(93, 307)(94, 331)(95, 369)(96, 309)(97, 330)(98, 373)(99, 310)(100, 333)(101, 372)(102, 312)(103, 313)(104, 315)(105, 380)(106, 319)(107, 334)(108, 381)(109, 322)(110, 335)(111, 379)(112, 328)(113, 351)(114, 336)(115, 337)(116, 357)(117, 354)(118, 382)(119, 345)(120, 348)(121, 383)(122, 384)(123, 367)(124, 361)(125, 364)(126, 374)(127, 377)(128, 378)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.965
Graph:: simple bipartite
	v = 144 e = 256 f = 96
	degree seq :: [ 2^128, 16^16 ]

E9.972 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y1^8, (Y3^-1 * Y1^-1)^4, Y1^3 * Y3 * Y1^-4 * Y3^-1 * Y1, Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^2 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 44, 172, 37, 165, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 51, 179, 43, 171, 56, 184, 30, 158, 14, 142)(9, 137, 19, 147, 38, 166, 46, 174, 24, 152, 45, 173, 40, 168, 20, 148)(12, 140, 25, 153, 47, 175, 42, 170, 21, 149, 41, 169, 50, 178, 26, 154)(16, 144, 33, 161, 60, 188, 91, 219, 67, 195, 74, 202, 62, 190, 34, 162)(17, 145, 35, 163, 63, 191, 88, 216, 57, 185, 83, 211, 53, 181, 28, 156)(29, 157, 54, 182, 84, 212, 72, 200, 79, 207, 103, 231, 76, 204, 48, 176)(32, 160, 58, 186, 78, 206, 66, 194, 36, 164, 65, 193, 75, 203, 59, 187)(39, 167, 69, 197, 99, 227, 101, 229, 73, 201, 49, 177, 77, 205, 70, 198)(52, 180, 80, 208, 68, 196, 87, 215, 55, 183, 86, 214, 71, 199, 81, 209)(61, 189, 93, 221, 114, 242, 98, 226, 113, 241, 121, 249, 104, 232, 89, 217)(64, 192, 96, 224, 109, 237, 123, 251, 108, 236, 90, 218, 102, 230, 97, 225)(82, 210, 107, 235, 92, 220, 112, 240, 95, 223, 116, 244, 94, 222, 105, 233)(85, 213, 110, 238, 100, 228, 118, 246, 120, 248, 106, 234, 119, 247, 111, 239)(115, 243, 125, 253, 117, 245, 126, 254, 127, 255, 122, 250, 128, 256, 124, 252)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 292)(19, 295)(20, 289)(21, 266)(22, 299)(23, 300)(24, 267)(25, 304)(26, 305)(27, 308)(28, 269)(29, 270)(30, 311)(31, 313)(32, 271)(33, 276)(34, 317)(35, 320)(36, 274)(37, 323)(38, 324)(39, 275)(40, 327)(41, 328)(42, 325)(43, 278)(44, 279)(45, 329)(46, 330)(47, 331)(48, 281)(49, 282)(50, 334)(51, 335)(52, 283)(53, 338)(54, 341)(55, 286)(56, 344)(57, 287)(58, 345)(59, 346)(60, 348)(61, 290)(62, 350)(63, 351)(64, 291)(65, 354)(66, 352)(67, 293)(68, 294)(69, 298)(70, 356)(71, 296)(72, 297)(73, 301)(74, 302)(75, 303)(76, 358)(77, 360)(78, 306)(79, 307)(80, 361)(81, 362)(82, 309)(83, 364)(84, 365)(85, 310)(86, 368)(87, 366)(88, 312)(89, 314)(90, 315)(91, 369)(92, 316)(93, 371)(94, 318)(95, 319)(96, 322)(97, 373)(98, 321)(99, 370)(100, 326)(101, 375)(102, 332)(103, 376)(104, 333)(105, 336)(106, 337)(107, 378)(108, 339)(109, 340)(110, 343)(111, 380)(112, 342)(113, 347)(114, 355)(115, 349)(116, 381)(117, 353)(118, 382)(119, 357)(120, 359)(121, 383)(122, 363)(123, 384)(124, 367)(125, 372)(126, 374)(127, 377)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.966
Graph:: simple bipartite
	v = 144 e = 256 f = 96
	degree seq :: [ 2^128, 16^16 ]

E9.973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, Y2^8, R * Y1 * Y2^-1 * Y1 * Y2 * Y1 * R * Y2 * Y1 * Y2^-1, (R * Y2^3 * Y1)^2, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, Y2^3 * Y1 * Y2^-3 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y1 * Y2^-2 * Y1 * Y2^3 * Y1 * Y2^2 * Y1 * Y2 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 28, 156)(16, 144, 32, 160)(18, 146, 36, 164)(19, 147, 38, 166)(20, 148, 23, 151)(22, 150, 43, 171)(24, 152, 45, 173)(26, 154, 49, 177)(27, 155, 51, 179)(30, 158, 56, 184)(31, 159, 57, 185)(33, 161, 61, 189)(34, 162, 60, 188)(35, 163, 64, 192)(37, 165, 68, 196)(39, 167, 71, 199)(40, 168, 73, 201)(41, 169, 75, 203)(42, 170, 69, 197)(44, 172, 80, 208)(46, 174, 84, 212)(47, 175, 83, 211)(48, 176, 87, 215)(50, 178, 91, 219)(52, 180, 94, 222)(53, 181, 96, 224)(54, 182, 98, 226)(55, 183, 92, 220)(58, 186, 81, 209)(59, 187, 105, 233)(62, 190, 90, 218)(63, 191, 86, 214)(65, 193, 99, 227)(66, 194, 89, 217)(67, 195, 85, 213)(70, 198, 111, 239)(72, 200, 101, 229)(74, 202, 97, 225)(76, 204, 88, 216)(77, 205, 100, 228)(78, 206, 95, 223)(79, 207, 102, 230)(82, 210, 115, 243)(93, 221, 121, 249)(103, 231, 123, 251)(104, 232, 119, 247)(106, 234, 118, 246)(107, 235, 124, 252)(108, 236, 116, 244)(109, 237, 114, 242)(110, 238, 122, 250)(112, 240, 120, 248)(113, 241, 126, 254)(117, 245, 127, 255)(125, 253, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 293, 421, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 306, 434, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 287, 415, 314, 442, 360, 488, 318, 446, 289, 417, 272, 400)(265, 393, 275, 403, 295, 423, 328, 456, 368, 496, 330, 458, 296, 424, 276, 404)(267, 395, 279, 407, 300, 428, 337, 465, 370, 498, 341, 469, 302, 430, 280, 408)(269, 397, 283, 411, 308, 436, 351, 479, 378, 506, 353, 481, 309, 437, 284, 412)(273, 401, 290, 418, 319, 447, 350, 478, 369, 497, 336, 464, 321, 449, 291, 419)(277, 405, 297, 425, 332, 460, 352, 480, 373, 501, 340, 468, 333, 461, 298, 426)(281, 409, 303, 431, 342, 470, 327, 455, 359, 487, 313, 441, 344, 472, 304, 432)(285, 413, 310, 438, 355, 483, 329, 457, 363, 491, 317, 445, 356, 484, 311, 439)(288, 416, 315, 443, 362, 490, 331, 459, 358, 486, 312, 440, 357, 485, 316, 444)(292, 420, 322, 450, 343, 471, 374, 502, 349, 477, 307, 435, 348, 476, 323, 451)(294, 422, 325, 453, 346, 474, 305, 433, 345, 473, 320, 448, 364, 492, 326, 454)(299, 427, 334, 462, 339, 467, 301, 429, 338, 466, 372, 500, 354, 482, 335, 463)(324, 452, 365, 493, 379, 507, 367, 495, 381, 509, 361, 489, 380, 508, 366, 494)(347, 475, 375, 503, 382, 510, 377, 505, 384, 512, 371, 499, 383, 511, 376, 504)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 284)(16, 288)(17, 264)(18, 292)(19, 294)(20, 279)(21, 266)(22, 299)(23, 276)(24, 301)(25, 268)(26, 305)(27, 307)(28, 271)(29, 270)(30, 312)(31, 313)(32, 272)(33, 317)(34, 316)(35, 320)(36, 274)(37, 324)(38, 275)(39, 327)(40, 329)(41, 331)(42, 325)(43, 278)(44, 336)(45, 280)(46, 340)(47, 339)(48, 343)(49, 282)(50, 347)(51, 283)(52, 350)(53, 352)(54, 354)(55, 348)(56, 286)(57, 287)(58, 337)(59, 361)(60, 290)(61, 289)(62, 346)(63, 342)(64, 291)(65, 355)(66, 345)(67, 341)(68, 293)(69, 298)(70, 367)(71, 295)(72, 357)(73, 296)(74, 353)(75, 297)(76, 344)(77, 356)(78, 351)(79, 358)(80, 300)(81, 314)(82, 371)(83, 303)(84, 302)(85, 323)(86, 319)(87, 304)(88, 332)(89, 322)(90, 318)(91, 306)(92, 311)(93, 377)(94, 308)(95, 334)(96, 309)(97, 330)(98, 310)(99, 321)(100, 333)(101, 328)(102, 335)(103, 379)(104, 375)(105, 315)(106, 374)(107, 380)(108, 372)(109, 370)(110, 378)(111, 326)(112, 376)(113, 382)(114, 365)(115, 338)(116, 364)(117, 383)(118, 362)(119, 360)(120, 368)(121, 349)(122, 366)(123, 359)(124, 363)(125, 384)(126, 369)(127, 373)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.975
Graph:: bipartite
	v = 80 e = 256 f = 160
	degree seq :: [ 4^64, 16^16 ]

E9.974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y3 * Y2^-1)^4, (Y2^-3 * Y1 * Y2^-1)^2, (Y2^-2 * R * Y2^-2)^2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-2)^2, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 28, 156)(16, 144, 32, 160)(18, 146, 36, 164)(19, 147, 38, 166)(20, 148, 23, 151)(22, 150, 43, 171)(24, 152, 45, 173)(26, 154, 49, 177)(27, 155, 51, 179)(30, 158, 56, 184)(31, 159, 57, 185)(33, 161, 61, 189)(34, 162, 60, 188)(35, 163, 64, 192)(37, 165, 50, 178)(39, 167, 70, 198)(40, 168, 71, 199)(41, 169, 72, 200)(42, 170, 68, 196)(44, 172, 73, 201)(46, 174, 77, 205)(47, 175, 76, 204)(48, 176, 80, 208)(52, 180, 86, 214)(53, 181, 87, 215)(54, 182, 88, 216)(55, 183, 84, 212)(58, 186, 91, 219)(59, 187, 92, 220)(62, 190, 83, 211)(63, 191, 81, 209)(65, 193, 79, 207)(66, 194, 98, 226)(67, 195, 78, 206)(69, 197, 100, 228)(74, 202, 103, 231)(75, 203, 104, 232)(82, 210, 110, 238)(85, 213, 112, 240)(89, 217, 107, 235)(90, 218, 113, 241)(93, 221, 111, 239)(94, 222, 109, 237)(95, 223, 101, 229)(96, 224, 115, 243)(97, 225, 106, 234)(99, 227, 105, 233)(102, 230, 119, 247)(108, 236, 121, 249)(114, 242, 126, 254)(116, 244, 122, 250)(117, 245, 125, 253)(118, 246, 124, 252)(120, 248, 128, 256)(123, 251, 127, 255)(257, 385, 259, 387, 264, 392, 274, 402, 293, 421, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 306, 434, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 287, 415, 314, 442, 299, 427, 318, 446, 289, 417, 272, 400)(265, 393, 275, 403, 295, 423, 323, 451, 292, 420, 322, 450, 296, 424, 276, 404)(267, 395, 279, 407, 300, 428, 330, 458, 312, 440, 334, 462, 302, 430, 280, 408)(269, 397, 283, 411, 308, 436, 339, 467, 305, 433, 338, 466, 309, 437, 284, 412)(273, 401, 290, 418, 319, 447, 298, 426, 277, 405, 297, 425, 321, 449, 291, 419)(281, 409, 303, 431, 335, 463, 311, 439, 285, 413, 310, 438, 337, 465, 304, 432)(288, 416, 315, 443, 349, 477, 328, 456, 347, 475, 370, 498, 350, 478, 316, 444)(294, 422, 324, 452, 355, 483, 373, 501, 354, 482, 320, 448, 353, 481, 325, 453)(301, 429, 331, 459, 361, 489, 344, 472, 359, 487, 376, 504, 362, 490, 332, 460)(307, 435, 340, 468, 367, 495, 379, 507, 366, 494, 336, 464, 365, 493, 341, 469)(313, 441, 345, 473, 326, 454, 352, 480, 317, 445, 351, 479, 327, 455, 346, 474)(329, 457, 357, 485, 342, 470, 364, 492, 333, 461, 363, 491, 343, 471, 358, 486)(348, 476, 371, 499, 356, 484, 374, 502, 382, 510, 369, 497, 381, 509, 372, 500)(360, 488, 377, 505, 368, 496, 380, 508, 384, 512, 375, 503, 383, 511, 378, 506)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 284)(16, 288)(17, 264)(18, 292)(19, 294)(20, 279)(21, 266)(22, 299)(23, 276)(24, 301)(25, 268)(26, 305)(27, 307)(28, 271)(29, 270)(30, 312)(31, 313)(32, 272)(33, 317)(34, 316)(35, 320)(36, 274)(37, 306)(38, 275)(39, 326)(40, 327)(41, 328)(42, 324)(43, 278)(44, 329)(45, 280)(46, 333)(47, 332)(48, 336)(49, 282)(50, 293)(51, 283)(52, 342)(53, 343)(54, 344)(55, 340)(56, 286)(57, 287)(58, 347)(59, 348)(60, 290)(61, 289)(62, 339)(63, 337)(64, 291)(65, 335)(66, 354)(67, 334)(68, 298)(69, 356)(70, 295)(71, 296)(72, 297)(73, 300)(74, 359)(75, 360)(76, 303)(77, 302)(78, 323)(79, 321)(80, 304)(81, 319)(82, 366)(83, 318)(84, 311)(85, 368)(86, 308)(87, 309)(88, 310)(89, 363)(90, 369)(91, 314)(92, 315)(93, 367)(94, 365)(95, 357)(96, 371)(97, 362)(98, 322)(99, 361)(100, 325)(101, 351)(102, 375)(103, 330)(104, 331)(105, 355)(106, 353)(107, 345)(108, 377)(109, 350)(110, 338)(111, 349)(112, 341)(113, 346)(114, 382)(115, 352)(116, 378)(117, 381)(118, 380)(119, 358)(120, 384)(121, 364)(122, 372)(123, 383)(124, 374)(125, 373)(126, 370)(127, 379)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.976
Graph:: bipartite
	v = 80 e = 256 f = 160
	degree seq :: [ 4^64, 16^16 ]

E9.975 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C4) : C2) : C2 (small group id <128, 136>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-3 * Y1^-1 * Y3^2 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-3 * Y1, Y3 * Y1^-1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 49, 177, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 62, 190, 29, 157)(17, 145, 37, 165, 76, 204, 39, 167)(20, 148, 43, 171, 85, 213, 41, 169)(22, 150, 47, 175, 92, 220, 45, 173)(24, 152, 51, 179, 98, 226, 53, 181)(26, 154, 46, 174, 93, 221, 56, 184)(27, 155, 57, 185, 101, 229, 59, 187)(30, 158, 63, 191, 83, 211, 40, 168)(32, 160, 67, 195, 89, 217, 65, 193)(33, 161, 68, 196, 106, 234, 70, 198)(36, 164, 74, 202, 113, 241, 72, 200)(38, 166, 78, 206, 54, 182, 80, 208)(42, 170, 86, 214, 111, 239, 71, 199)(44, 172, 90, 218, 115, 243, 88, 216)(48, 176, 95, 223, 66, 194, 87, 215)(50, 178, 84, 212, 120, 248, 97, 225)(52, 180, 99, 227, 108, 236, 100, 228)(55, 183, 81, 209, 109, 237, 69, 197)(58, 186, 82, 210, 110, 238, 104, 232)(60, 188, 73, 201, 114, 242, 102, 230)(61, 189, 105, 233, 123, 251, 103, 231)(64, 192, 75, 203, 116, 244, 94, 222)(77, 205, 112, 240, 125, 253, 117, 245)(79, 207, 118, 246, 96, 224, 119, 247)(91, 219, 121, 249, 124, 252, 107, 235)(122, 250, 126, 254, 128, 256, 127, 255)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 301)(22, 265)(23, 267)(24, 308)(25, 310)(26, 311)(27, 314)(28, 316)(29, 317)(30, 269)(31, 321)(32, 270)(33, 325)(34, 327)(35, 328)(36, 272)(37, 274)(38, 335)(39, 337)(40, 338)(41, 340)(42, 275)(43, 344)(44, 276)(45, 347)(46, 277)(47, 343)(48, 278)(49, 353)(50, 279)(51, 281)(52, 288)(53, 357)(54, 358)(55, 326)(56, 359)(57, 284)(58, 352)(59, 354)(60, 334)(61, 349)(62, 351)(63, 350)(64, 286)(65, 329)(66, 287)(67, 356)(68, 290)(69, 364)(70, 366)(71, 307)(72, 368)(73, 291)(74, 320)(75, 292)(76, 373)(77, 293)(78, 295)(79, 300)(80, 305)(81, 312)(82, 315)(83, 306)(84, 319)(85, 323)(86, 322)(87, 298)(88, 302)(89, 299)(90, 375)(91, 370)(92, 372)(93, 371)(94, 303)(95, 374)(96, 304)(97, 378)(98, 367)(99, 309)(100, 365)(101, 379)(102, 363)(103, 313)(104, 362)(105, 318)(106, 380)(107, 324)(108, 331)(109, 332)(110, 339)(111, 333)(112, 342)(113, 346)(114, 345)(115, 330)(116, 355)(117, 382)(118, 336)(119, 360)(120, 341)(121, 348)(122, 361)(123, 383)(124, 384)(125, 369)(126, 376)(127, 377)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.973
Graph:: simple bipartite
	v = 160 e = 256 f = 80
	degree seq :: [ 2^128, 8^32 ]

E9.976 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C4) : C2 (small group id <128, 138>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1 * Y3)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 49, 177, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 61, 189, 29, 157)(17, 145, 37, 165, 72, 200, 39, 167)(20, 148, 43, 171, 80, 208, 41, 169)(22, 150, 47, 175, 84, 212, 45, 173)(24, 152, 51, 179, 82, 210, 44, 172)(26, 154, 46, 174, 85, 213, 55, 183)(27, 155, 56, 184, 95, 223, 58, 186)(30, 158, 62, 190, 78, 206, 40, 168)(32, 160, 57, 185, 96, 224, 63, 191)(33, 161, 64, 192, 98, 226, 66, 194)(36, 164, 70, 198, 106, 234, 68, 196)(38, 166, 74, 202, 108, 236, 71, 199)(42, 170, 81, 209, 104, 232, 67, 195)(48, 176, 65, 193, 100, 228, 87, 215)(50, 178, 76, 204, 110, 238, 90, 218)(52, 180, 75, 203, 101, 229, 89, 217)(53, 181, 91, 219, 117, 245, 93, 221)(54, 182, 79, 207, 112, 240, 94, 222)(59, 187, 69, 197, 107, 235, 92, 220)(60, 188, 97, 225, 114, 242, 88, 216)(73, 201, 102, 230, 120, 248, 109, 237)(77, 205, 105, 233, 122, 250, 111, 239)(83, 211, 113, 241, 121, 249, 103, 231)(86, 214, 115, 243, 119, 247, 99, 227)(116, 244, 124, 252, 127, 255, 126, 254)(118, 246, 123, 251, 128, 256, 125, 253)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 301)(22, 265)(23, 267)(24, 308)(25, 309)(26, 310)(27, 313)(28, 315)(29, 316)(30, 269)(31, 319)(32, 270)(33, 321)(34, 323)(35, 324)(36, 272)(37, 274)(38, 331)(39, 332)(40, 333)(41, 335)(42, 275)(43, 338)(44, 276)(45, 339)(46, 277)(47, 343)(48, 278)(49, 346)(50, 279)(51, 281)(52, 288)(53, 286)(54, 287)(55, 330)(56, 284)(57, 345)(58, 342)(59, 344)(60, 348)(61, 350)(62, 349)(63, 337)(64, 290)(65, 357)(66, 358)(67, 359)(68, 361)(69, 291)(70, 364)(71, 292)(72, 365)(73, 293)(74, 295)(75, 300)(76, 298)(77, 299)(78, 356)(79, 311)(80, 367)(81, 306)(82, 363)(83, 360)(84, 370)(85, 355)(86, 302)(87, 318)(88, 303)(89, 304)(90, 372)(91, 305)(92, 307)(93, 312)(94, 374)(95, 373)(96, 314)(97, 317)(98, 375)(99, 320)(100, 322)(101, 327)(102, 325)(103, 326)(104, 352)(105, 334)(106, 377)(107, 329)(108, 341)(109, 379)(110, 328)(111, 380)(112, 336)(113, 340)(114, 382)(115, 351)(116, 353)(117, 381)(118, 347)(119, 383)(120, 354)(121, 384)(122, 362)(123, 368)(124, 366)(125, 369)(126, 371)(127, 378)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.974
Graph:: simple bipartite
	v = 160 e = 256 f = 80
	degree seq :: [ 2^128, 8^32 ]

E9.977 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2)^4, (T2 * T1 * T2 * T1^-1)^2, T1^8, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T1^-3 * T2 * T1^3 * T2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 53, 36, 18, 8)(6, 13, 27, 49, 76, 52, 30, 14)(9, 19, 37, 60, 86, 61, 38, 20)(12, 25, 45, 72, 99, 75, 48, 26)(16, 33, 56, 82, 92, 70, 46, 29)(17, 34, 57, 83, 93, 69, 47, 28)(21, 39, 62, 87, 108, 88, 63, 40)(24, 43, 68, 95, 115, 98, 71, 44)(32, 51, 73, 97, 112, 105, 81, 55)(35, 50, 74, 96, 113, 106, 84, 58)(41, 64, 89, 109, 122, 110, 90, 65)(42, 66, 91, 111, 123, 114, 94, 67)(54, 80, 104, 120, 124, 117, 100, 78)(59, 85, 107, 121, 125, 116, 101, 77)(79, 102, 118, 126, 128, 127, 119, 103)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 34)(20, 33)(22, 41)(23, 42)(25, 46)(26, 47)(27, 50)(30, 51)(31, 54)(36, 59)(37, 58)(38, 55)(39, 56)(40, 57)(43, 69)(44, 70)(45, 73)(48, 74)(49, 77)(52, 78)(53, 79)(60, 85)(61, 80)(62, 81)(63, 84)(64, 83)(65, 82)(66, 92)(67, 93)(68, 96)(71, 97)(72, 100)(75, 101)(76, 102)(86, 103)(87, 104)(88, 107)(89, 106)(90, 105)(91, 112)(94, 113)(95, 116)(98, 117)(99, 118)(108, 119)(109, 121)(110, 120)(111, 124)(114, 125)(115, 126)(122, 127)(123, 128)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.978
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 64 f = 32
	degree seq :: [ 8^16 ]

E9.978 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2 * T1)^2, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 27, 17)(10, 18, 29, 19)(14, 24, 34, 22)(15, 25, 38, 26)(21, 33, 44, 31)(23, 35, 49, 36)(28, 30, 43, 41)(32, 45, 62, 46)(37, 52, 69, 51)(39, 50, 68, 54)(40, 55, 74, 56)(42, 58, 77, 59)(47, 65, 84, 64)(48, 63, 83, 66)(53, 71, 92, 72)(57, 75, 95, 76)(60, 80, 98, 79)(61, 78, 97, 81)(67, 87, 105, 88)(70, 91, 99, 86)(73, 93, 100, 85)(82, 101, 116, 102)(89, 104, 117, 107)(90, 106, 120, 108)(94, 110, 122, 111)(96, 112, 123, 113)(103, 115, 124, 118)(109, 121, 125, 114)(119, 126, 128, 127)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 25)(17, 28)(18, 30)(19, 31)(20, 32)(24, 37)(26, 39)(27, 40)(29, 42)(33, 47)(34, 48)(35, 50)(36, 51)(38, 53)(41, 57)(43, 60)(44, 61)(45, 63)(46, 64)(49, 67)(52, 70)(54, 73)(55, 75)(56, 72)(58, 78)(59, 79)(62, 82)(65, 85)(66, 86)(68, 89)(69, 90)(71, 93)(74, 94)(76, 91)(77, 96)(80, 99)(81, 100)(83, 103)(84, 104)(87, 106)(88, 107)(92, 109)(95, 108)(97, 114)(98, 115)(101, 117)(102, 118)(105, 119)(110, 121)(111, 120)(112, 124)(113, 125)(116, 126)(122, 127)(123, 128)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E9.977
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 64 f = 16
	degree seq :: [ 4^32 ]

E9.979 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T1 * T2^-1 * T1 * T2)^2, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 27, 17)(10, 18, 30, 19)(12, 21, 33, 22)(15, 25, 39, 26)(20, 31, 46, 32)(23, 35, 50, 36)(28, 38, 53, 41)(29, 42, 59, 43)(34, 45, 62, 48)(37, 51, 70, 52)(40, 55, 75, 56)(44, 60, 80, 61)(47, 64, 85, 65)(49, 67, 87, 68)(54, 72, 93, 73)(57, 74, 94, 76)(58, 77, 96, 78)(63, 82, 102, 83)(66, 84, 103, 86)(69, 88, 105, 89)(71, 91, 108, 92)(79, 97, 112, 98)(81, 100, 115, 101)(90, 106, 119, 107)(95, 110, 122, 111)(99, 113, 123, 114)(104, 117, 126, 118)(109, 120, 127, 121)(116, 124, 128, 125)(129, 130)(131, 135)(132, 137)(133, 138)(134, 140)(136, 143)(139, 148)(141, 151)(142, 147)(144, 149)(145, 156)(146, 157)(150, 162)(152, 165)(153, 166)(154, 164)(155, 168)(158, 172)(159, 173)(160, 171)(161, 175)(163, 177)(167, 182)(169, 185)(170, 186)(174, 191)(176, 194)(178, 197)(179, 188)(180, 196)(181, 199)(183, 202)(184, 193)(187, 207)(189, 206)(190, 209)(192, 212)(195, 214)(198, 218)(200, 216)(201, 220)(203, 223)(204, 205)(208, 227)(210, 225)(211, 229)(213, 232)(215, 228)(217, 231)(219, 224)(221, 237)(222, 226)(230, 244)(233, 246)(234, 243)(235, 242)(236, 241)(238, 245)(239, 240)(247, 252)(248, 251)(249, 254)(250, 253)(255, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E9.983
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 128 f = 16
	degree seq :: [ 2^64, 4^32 ]

E9.980 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-2 * T1^2 * T2^-2 * T1^-1, T2^8 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 48, 32, 14, 5)(2, 7, 17, 38, 65, 44, 20, 8)(4, 12, 27, 53, 78, 46, 22, 9)(6, 15, 33, 60, 90, 63, 36, 16)(11, 26, 51, 84, 95, 62, 35, 23)(13, 29, 34, 61, 92, 88, 56, 30)(18, 40, 68, 100, 76, 45, 21, 37)(19, 41, 28, 54, 83, 103, 71, 42)(25, 50, 82, 109, 120, 105, 75, 47)(31, 57, 69, 101, 117, 102, 70, 58)(39, 67, 52, 85, 108, 87, 55, 64)(43, 72, 93, 113, 125, 114, 94, 73)(49, 81, 107, 121, 126, 115, 96, 79)(59, 80, 91, 112, 124, 123, 111, 89)(66, 99, 116, 127, 119, 106, 77, 97)(74, 98, 86, 110, 122, 128, 118, 104)(129, 130, 134, 132)(131, 137, 149, 139)(133, 141, 146, 135)(136, 147, 162, 143)(138, 151, 164, 153)(140, 144, 163, 156)(142, 159, 161, 157)(145, 165, 150, 167)(148, 171, 155, 169)(152, 175, 204, 177)(154, 173, 203, 180)(158, 183, 197, 168)(160, 187, 196, 185)(166, 192, 184, 194)(170, 198, 221, 189)(172, 202, 220, 200)(174, 205, 179, 195)(176, 207, 218, 208)(178, 191, 224, 211)(181, 201, 223, 214)(182, 190, 222, 210)(186, 199, 219, 188)(193, 225, 206, 226)(209, 228, 217, 236)(212, 234, 248, 238)(213, 233, 247, 235)(215, 239, 244, 229)(216, 232, 245, 227)(230, 246, 252, 241)(231, 243, 253, 240)(237, 242, 254, 250)(249, 255, 251, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E9.984
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 128 f = 64
	degree seq :: [ 4^32, 8^16 ]

E9.981 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, (T2 * T1 * T2 * T1^-1)^2, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T1^-3 * T2 * T1^3 * T2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 34)(20, 33)(22, 41)(23, 42)(25, 46)(26, 47)(27, 50)(30, 51)(31, 54)(36, 59)(37, 58)(38, 55)(39, 56)(40, 57)(43, 69)(44, 70)(45, 73)(48, 74)(49, 77)(52, 78)(53, 79)(60, 85)(61, 80)(62, 81)(63, 84)(64, 83)(65, 82)(66, 92)(67, 93)(68, 96)(71, 97)(72, 100)(75, 101)(76, 102)(86, 103)(87, 104)(88, 107)(89, 106)(90, 105)(91, 112)(94, 113)(95, 116)(98, 117)(99, 118)(108, 119)(109, 121)(110, 120)(111, 124)(114, 125)(115, 126)(122, 127)(123, 128)(129, 130, 133, 139, 151, 150, 138, 132)(131, 135, 143, 159, 181, 164, 146, 136)(134, 141, 155, 177, 204, 180, 158, 142)(137, 147, 165, 188, 214, 189, 166, 148)(140, 153, 173, 200, 227, 203, 176, 154)(144, 161, 184, 210, 220, 198, 174, 157)(145, 162, 185, 211, 221, 197, 175, 156)(149, 167, 190, 215, 236, 216, 191, 168)(152, 171, 196, 223, 243, 226, 199, 172)(160, 179, 201, 225, 240, 233, 209, 183)(163, 178, 202, 224, 241, 234, 212, 186)(169, 192, 217, 237, 250, 238, 218, 193)(170, 194, 219, 239, 251, 242, 222, 195)(182, 208, 232, 248, 252, 245, 228, 206)(187, 213, 235, 249, 253, 244, 229, 205)(207, 230, 246, 254, 256, 255, 247, 231)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E9.982
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 32
	degree seq :: [ 2^64, 8^16 ]

E9.982 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T1 * T2^-1 * T1 * T2)^2, (T2^-1 * T1)^8 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 4, 132)(2, 130, 5, 133, 11, 139, 6, 134)(7, 135, 13, 141, 24, 152, 14, 142)(9, 137, 16, 144, 27, 155, 17, 145)(10, 138, 18, 146, 30, 158, 19, 147)(12, 140, 21, 149, 33, 161, 22, 150)(15, 143, 25, 153, 39, 167, 26, 154)(20, 148, 31, 159, 46, 174, 32, 160)(23, 151, 35, 163, 50, 178, 36, 164)(28, 156, 38, 166, 53, 181, 41, 169)(29, 157, 42, 170, 59, 187, 43, 171)(34, 162, 45, 173, 62, 190, 48, 176)(37, 165, 51, 179, 70, 198, 52, 180)(40, 168, 55, 183, 75, 203, 56, 184)(44, 172, 60, 188, 80, 208, 61, 189)(47, 175, 64, 192, 85, 213, 65, 193)(49, 177, 67, 195, 87, 215, 68, 196)(54, 182, 72, 200, 93, 221, 73, 201)(57, 185, 74, 202, 94, 222, 76, 204)(58, 186, 77, 205, 96, 224, 78, 206)(63, 191, 82, 210, 102, 230, 83, 211)(66, 194, 84, 212, 103, 231, 86, 214)(69, 197, 88, 216, 105, 233, 89, 217)(71, 199, 91, 219, 108, 236, 92, 220)(79, 207, 97, 225, 112, 240, 98, 226)(81, 209, 100, 228, 115, 243, 101, 229)(90, 218, 106, 234, 119, 247, 107, 235)(95, 223, 110, 238, 122, 250, 111, 239)(99, 227, 113, 241, 123, 251, 114, 242)(104, 232, 117, 245, 126, 254, 118, 246)(109, 237, 120, 248, 127, 255, 121, 249)(116, 244, 124, 252, 128, 256, 125, 253)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 138)(6, 140)(7, 131)(8, 143)(9, 132)(10, 133)(11, 148)(12, 134)(13, 151)(14, 147)(15, 136)(16, 149)(17, 156)(18, 157)(19, 142)(20, 139)(21, 144)(22, 162)(23, 141)(24, 165)(25, 166)(26, 164)(27, 168)(28, 145)(29, 146)(30, 172)(31, 173)(32, 171)(33, 175)(34, 150)(35, 177)(36, 154)(37, 152)(38, 153)(39, 182)(40, 155)(41, 185)(42, 186)(43, 160)(44, 158)(45, 159)(46, 191)(47, 161)(48, 194)(49, 163)(50, 197)(51, 188)(52, 196)(53, 199)(54, 167)(55, 202)(56, 193)(57, 169)(58, 170)(59, 207)(60, 179)(61, 206)(62, 209)(63, 174)(64, 212)(65, 184)(66, 176)(67, 214)(68, 180)(69, 178)(70, 218)(71, 181)(72, 216)(73, 220)(74, 183)(75, 223)(76, 205)(77, 204)(78, 189)(79, 187)(80, 227)(81, 190)(82, 225)(83, 229)(84, 192)(85, 232)(86, 195)(87, 228)(88, 200)(89, 231)(90, 198)(91, 224)(92, 201)(93, 237)(94, 226)(95, 203)(96, 219)(97, 210)(98, 222)(99, 208)(100, 215)(101, 211)(102, 244)(103, 217)(104, 213)(105, 246)(106, 243)(107, 242)(108, 241)(109, 221)(110, 245)(111, 240)(112, 239)(113, 236)(114, 235)(115, 234)(116, 230)(117, 238)(118, 233)(119, 252)(120, 251)(121, 254)(122, 253)(123, 248)(124, 247)(125, 250)(126, 249)(127, 256)(128, 255)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.981
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 80
	degree seq :: [ 8^32 ]

E9.983 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-2 * T1^2 * T2^-2 * T1^-1, T2^8 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 24, 152, 48, 176, 32, 160, 14, 142, 5, 133)(2, 130, 7, 135, 17, 145, 38, 166, 65, 193, 44, 172, 20, 148, 8, 136)(4, 132, 12, 140, 27, 155, 53, 181, 78, 206, 46, 174, 22, 150, 9, 137)(6, 134, 15, 143, 33, 161, 60, 188, 90, 218, 63, 191, 36, 164, 16, 144)(11, 139, 26, 154, 51, 179, 84, 212, 95, 223, 62, 190, 35, 163, 23, 151)(13, 141, 29, 157, 34, 162, 61, 189, 92, 220, 88, 216, 56, 184, 30, 158)(18, 146, 40, 168, 68, 196, 100, 228, 76, 204, 45, 173, 21, 149, 37, 165)(19, 147, 41, 169, 28, 156, 54, 182, 83, 211, 103, 231, 71, 199, 42, 170)(25, 153, 50, 178, 82, 210, 109, 237, 120, 248, 105, 233, 75, 203, 47, 175)(31, 159, 57, 185, 69, 197, 101, 229, 117, 245, 102, 230, 70, 198, 58, 186)(39, 167, 67, 195, 52, 180, 85, 213, 108, 236, 87, 215, 55, 183, 64, 192)(43, 171, 72, 200, 93, 221, 113, 241, 125, 253, 114, 242, 94, 222, 73, 201)(49, 177, 81, 209, 107, 235, 121, 249, 126, 254, 115, 243, 96, 224, 79, 207)(59, 187, 80, 208, 91, 219, 112, 240, 124, 252, 123, 251, 111, 239, 89, 217)(66, 194, 99, 227, 116, 244, 127, 255, 119, 247, 106, 234, 77, 205, 97, 225)(74, 202, 98, 226, 86, 214, 110, 238, 122, 250, 128, 256, 118, 246, 104, 232)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 141)(6, 132)(7, 133)(8, 147)(9, 149)(10, 151)(11, 131)(12, 144)(13, 146)(14, 159)(15, 136)(16, 163)(17, 165)(18, 135)(19, 162)(20, 171)(21, 139)(22, 167)(23, 164)(24, 175)(25, 138)(26, 173)(27, 169)(28, 140)(29, 142)(30, 183)(31, 161)(32, 187)(33, 157)(34, 143)(35, 156)(36, 153)(37, 150)(38, 192)(39, 145)(40, 158)(41, 148)(42, 198)(43, 155)(44, 202)(45, 203)(46, 205)(47, 204)(48, 207)(49, 152)(50, 191)(51, 195)(52, 154)(53, 201)(54, 190)(55, 197)(56, 194)(57, 160)(58, 199)(59, 196)(60, 186)(61, 170)(62, 222)(63, 224)(64, 184)(65, 225)(66, 166)(67, 174)(68, 185)(69, 168)(70, 221)(71, 219)(72, 172)(73, 223)(74, 220)(75, 180)(76, 177)(77, 179)(78, 226)(79, 218)(80, 176)(81, 228)(82, 182)(83, 178)(84, 234)(85, 233)(86, 181)(87, 239)(88, 232)(89, 236)(90, 208)(91, 188)(92, 200)(93, 189)(94, 210)(95, 214)(96, 211)(97, 206)(98, 193)(99, 216)(100, 217)(101, 215)(102, 246)(103, 243)(104, 245)(105, 247)(106, 248)(107, 213)(108, 209)(109, 242)(110, 212)(111, 244)(112, 231)(113, 230)(114, 254)(115, 253)(116, 229)(117, 227)(118, 252)(119, 235)(120, 238)(121, 255)(122, 237)(123, 256)(124, 241)(125, 240)(126, 250)(127, 251)(128, 249)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.979
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 96
	degree seq :: [ 16^16 ]

E9.984 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, (T2 * T1 * T2 * T1^-1)^2, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T1^-3 * T2 * T1^3 * T2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 35, 163)(19, 147, 34, 162)(20, 148, 33, 161)(22, 150, 41, 169)(23, 151, 42, 170)(25, 153, 46, 174)(26, 154, 47, 175)(27, 155, 50, 178)(30, 158, 51, 179)(31, 159, 54, 182)(36, 164, 59, 187)(37, 165, 58, 186)(38, 166, 55, 183)(39, 167, 56, 184)(40, 168, 57, 185)(43, 171, 69, 197)(44, 172, 70, 198)(45, 173, 73, 201)(48, 176, 74, 202)(49, 177, 77, 205)(52, 180, 78, 206)(53, 181, 79, 207)(60, 188, 85, 213)(61, 189, 80, 208)(62, 190, 81, 209)(63, 191, 84, 212)(64, 192, 83, 211)(65, 193, 82, 210)(66, 194, 92, 220)(67, 195, 93, 221)(68, 196, 96, 224)(71, 199, 97, 225)(72, 200, 100, 228)(75, 203, 101, 229)(76, 204, 102, 230)(86, 214, 103, 231)(87, 215, 104, 232)(88, 216, 107, 235)(89, 217, 106, 234)(90, 218, 105, 233)(91, 219, 112, 240)(94, 222, 113, 241)(95, 223, 116, 244)(98, 226, 117, 245)(99, 227, 118, 246)(108, 236, 119, 247)(109, 237, 121, 249)(110, 238, 120, 248)(111, 239, 124, 252)(114, 242, 125, 253)(115, 243, 126, 254)(122, 250, 127, 255)(123, 251, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 162)(18, 136)(19, 165)(20, 137)(21, 167)(22, 138)(23, 150)(24, 171)(25, 173)(26, 140)(27, 177)(28, 145)(29, 144)(30, 142)(31, 181)(32, 179)(33, 184)(34, 185)(35, 178)(36, 146)(37, 188)(38, 148)(39, 190)(40, 149)(41, 192)(42, 194)(43, 196)(44, 152)(45, 200)(46, 157)(47, 156)(48, 154)(49, 204)(50, 202)(51, 201)(52, 158)(53, 164)(54, 208)(55, 160)(56, 210)(57, 211)(58, 163)(59, 213)(60, 214)(61, 166)(62, 215)(63, 168)(64, 217)(65, 169)(66, 219)(67, 170)(68, 223)(69, 175)(70, 174)(71, 172)(72, 227)(73, 225)(74, 224)(75, 176)(76, 180)(77, 187)(78, 182)(79, 230)(80, 232)(81, 183)(82, 220)(83, 221)(84, 186)(85, 235)(86, 189)(87, 236)(88, 191)(89, 237)(90, 193)(91, 239)(92, 198)(93, 197)(94, 195)(95, 243)(96, 241)(97, 240)(98, 199)(99, 203)(100, 206)(101, 205)(102, 246)(103, 207)(104, 248)(105, 209)(106, 212)(107, 249)(108, 216)(109, 250)(110, 218)(111, 251)(112, 233)(113, 234)(114, 222)(115, 226)(116, 229)(117, 228)(118, 254)(119, 231)(120, 252)(121, 253)(122, 238)(123, 242)(124, 245)(125, 244)(126, 256)(127, 247)(128, 255)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.980
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 48
	degree seq :: [ 4^64 ]

E9.985 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2)^2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 19, 147)(16, 144, 21, 149)(17, 145, 28, 156)(18, 146, 29, 157)(22, 150, 34, 162)(24, 152, 37, 165)(25, 153, 38, 166)(26, 154, 36, 164)(27, 155, 40, 168)(30, 158, 44, 172)(31, 159, 45, 173)(32, 160, 43, 171)(33, 161, 47, 175)(35, 163, 49, 177)(39, 167, 54, 182)(41, 169, 57, 185)(42, 170, 58, 186)(46, 174, 63, 191)(48, 176, 66, 194)(50, 178, 69, 197)(51, 179, 60, 188)(52, 180, 68, 196)(53, 181, 71, 199)(55, 183, 74, 202)(56, 184, 65, 193)(59, 187, 79, 207)(61, 189, 78, 206)(62, 190, 81, 209)(64, 192, 84, 212)(67, 195, 86, 214)(70, 198, 90, 218)(72, 200, 88, 216)(73, 201, 92, 220)(75, 203, 95, 223)(76, 204, 77, 205)(80, 208, 99, 227)(82, 210, 97, 225)(83, 211, 101, 229)(85, 213, 104, 232)(87, 215, 100, 228)(89, 217, 103, 231)(91, 219, 96, 224)(93, 221, 109, 237)(94, 222, 98, 226)(102, 230, 116, 244)(105, 233, 118, 246)(106, 234, 115, 243)(107, 235, 114, 242)(108, 236, 113, 241)(110, 238, 117, 245)(111, 239, 112, 240)(119, 247, 124, 252)(120, 248, 123, 251)(121, 249, 126, 254)(122, 250, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 260, 388)(258, 386, 261, 389, 267, 395, 262, 390)(263, 391, 269, 397, 280, 408, 270, 398)(265, 393, 272, 400, 283, 411, 273, 401)(266, 394, 274, 402, 286, 414, 275, 403)(268, 396, 277, 405, 289, 417, 278, 406)(271, 399, 281, 409, 295, 423, 282, 410)(276, 404, 287, 415, 302, 430, 288, 416)(279, 407, 291, 419, 306, 434, 292, 420)(284, 412, 294, 422, 309, 437, 297, 425)(285, 413, 298, 426, 315, 443, 299, 427)(290, 418, 301, 429, 318, 446, 304, 432)(293, 421, 307, 435, 326, 454, 308, 436)(296, 424, 311, 439, 331, 459, 312, 440)(300, 428, 316, 444, 336, 464, 317, 445)(303, 431, 320, 448, 341, 469, 321, 449)(305, 433, 323, 451, 343, 471, 324, 452)(310, 438, 328, 456, 349, 477, 329, 457)(313, 441, 330, 458, 350, 478, 332, 460)(314, 442, 333, 461, 352, 480, 334, 462)(319, 447, 338, 466, 358, 486, 339, 467)(322, 450, 340, 468, 359, 487, 342, 470)(325, 453, 344, 472, 361, 489, 345, 473)(327, 455, 347, 475, 364, 492, 348, 476)(335, 463, 353, 481, 368, 496, 354, 482)(337, 465, 356, 484, 371, 499, 357, 485)(346, 474, 362, 490, 375, 503, 363, 491)(351, 479, 366, 494, 378, 506, 367, 495)(355, 483, 369, 497, 379, 507, 370, 498)(360, 488, 373, 501, 382, 510, 374, 502)(365, 493, 376, 504, 383, 511, 377, 505)(372, 500, 380, 508, 384, 512, 381, 509)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 266)(6, 268)(7, 259)(8, 271)(9, 260)(10, 261)(11, 276)(12, 262)(13, 279)(14, 275)(15, 264)(16, 277)(17, 284)(18, 285)(19, 270)(20, 267)(21, 272)(22, 290)(23, 269)(24, 293)(25, 294)(26, 292)(27, 296)(28, 273)(29, 274)(30, 300)(31, 301)(32, 299)(33, 303)(34, 278)(35, 305)(36, 282)(37, 280)(38, 281)(39, 310)(40, 283)(41, 313)(42, 314)(43, 288)(44, 286)(45, 287)(46, 319)(47, 289)(48, 322)(49, 291)(50, 325)(51, 316)(52, 324)(53, 327)(54, 295)(55, 330)(56, 321)(57, 297)(58, 298)(59, 335)(60, 307)(61, 334)(62, 337)(63, 302)(64, 340)(65, 312)(66, 304)(67, 342)(68, 308)(69, 306)(70, 346)(71, 309)(72, 344)(73, 348)(74, 311)(75, 351)(76, 333)(77, 332)(78, 317)(79, 315)(80, 355)(81, 318)(82, 353)(83, 357)(84, 320)(85, 360)(86, 323)(87, 356)(88, 328)(89, 359)(90, 326)(91, 352)(92, 329)(93, 365)(94, 354)(95, 331)(96, 347)(97, 338)(98, 350)(99, 336)(100, 343)(101, 339)(102, 372)(103, 345)(104, 341)(105, 374)(106, 371)(107, 370)(108, 369)(109, 349)(110, 373)(111, 368)(112, 367)(113, 364)(114, 363)(115, 362)(116, 358)(117, 366)(118, 361)(119, 380)(120, 379)(121, 382)(122, 381)(123, 376)(124, 375)(125, 378)(126, 377)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.988
Graph:: bipartite
	v = 96 e = 256 f = 144
	degree seq :: [ 4^64, 8^32 ]

E9.986 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, R * Y2 * R * Y3, Y1^4, Y2 * Y1 * Y2^-1 * Y1^2 * Y2^-2 * Y1^-1, Y2^8 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 36, 164, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 33, 161, 29, 157)(17, 145, 37, 165, 22, 150, 39, 167)(20, 148, 43, 171, 27, 155, 41, 169)(24, 152, 47, 175, 76, 204, 49, 177)(26, 154, 45, 173, 75, 203, 52, 180)(30, 158, 55, 183, 69, 197, 40, 168)(32, 160, 59, 187, 68, 196, 57, 185)(38, 166, 64, 192, 56, 184, 66, 194)(42, 170, 70, 198, 93, 221, 61, 189)(44, 172, 74, 202, 92, 220, 72, 200)(46, 174, 77, 205, 51, 179, 67, 195)(48, 176, 79, 207, 90, 218, 80, 208)(50, 178, 63, 191, 96, 224, 83, 211)(53, 181, 73, 201, 95, 223, 86, 214)(54, 182, 62, 190, 94, 222, 82, 210)(58, 186, 71, 199, 91, 219, 60, 188)(65, 193, 97, 225, 78, 206, 98, 226)(81, 209, 100, 228, 89, 217, 108, 236)(84, 212, 106, 234, 120, 248, 110, 238)(85, 213, 105, 233, 119, 247, 107, 235)(87, 215, 111, 239, 116, 244, 101, 229)(88, 216, 104, 232, 117, 245, 99, 227)(102, 230, 118, 246, 124, 252, 113, 241)(103, 231, 115, 243, 125, 253, 112, 240)(109, 237, 114, 242, 126, 254, 122, 250)(121, 249, 127, 255, 123, 251, 128, 256)(257, 385, 259, 387, 266, 394, 280, 408, 304, 432, 288, 416, 270, 398, 261, 389)(258, 386, 263, 391, 273, 401, 294, 422, 321, 449, 300, 428, 276, 404, 264, 392)(260, 388, 268, 396, 283, 411, 309, 437, 334, 462, 302, 430, 278, 406, 265, 393)(262, 390, 271, 399, 289, 417, 316, 444, 346, 474, 319, 447, 292, 420, 272, 400)(267, 395, 282, 410, 307, 435, 340, 468, 351, 479, 318, 446, 291, 419, 279, 407)(269, 397, 285, 413, 290, 418, 317, 445, 348, 476, 344, 472, 312, 440, 286, 414)(274, 402, 296, 424, 324, 452, 356, 484, 332, 460, 301, 429, 277, 405, 293, 421)(275, 403, 297, 425, 284, 412, 310, 438, 339, 467, 359, 487, 327, 455, 298, 426)(281, 409, 306, 434, 338, 466, 365, 493, 376, 504, 361, 489, 331, 459, 303, 431)(287, 415, 313, 441, 325, 453, 357, 485, 373, 501, 358, 486, 326, 454, 314, 442)(295, 423, 323, 451, 308, 436, 341, 469, 364, 492, 343, 471, 311, 439, 320, 448)(299, 427, 328, 456, 349, 477, 369, 497, 381, 509, 370, 498, 350, 478, 329, 457)(305, 433, 337, 465, 363, 491, 377, 505, 382, 510, 371, 499, 352, 480, 335, 463)(315, 443, 336, 464, 347, 475, 368, 496, 380, 508, 379, 507, 367, 495, 345, 473)(322, 450, 355, 483, 372, 500, 383, 511, 375, 503, 362, 490, 333, 461, 353, 481)(330, 458, 354, 482, 342, 470, 366, 494, 378, 506, 384, 512, 374, 502, 360, 488)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 293)(22, 265)(23, 267)(24, 304)(25, 306)(26, 307)(27, 309)(28, 310)(29, 290)(30, 269)(31, 313)(32, 270)(33, 316)(34, 317)(35, 279)(36, 272)(37, 274)(38, 321)(39, 323)(40, 324)(41, 284)(42, 275)(43, 328)(44, 276)(45, 277)(46, 278)(47, 281)(48, 288)(49, 337)(50, 338)(51, 340)(52, 341)(53, 334)(54, 339)(55, 320)(56, 286)(57, 325)(58, 287)(59, 336)(60, 346)(61, 348)(62, 291)(63, 292)(64, 295)(65, 300)(66, 355)(67, 308)(68, 356)(69, 357)(70, 314)(71, 298)(72, 349)(73, 299)(74, 354)(75, 303)(76, 301)(77, 353)(78, 302)(79, 305)(80, 347)(81, 363)(82, 365)(83, 359)(84, 351)(85, 364)(86, 366)(87, 311)(88, 312)(89, 315)(90, 319)(91, 368)(92, 344)(93, 369)(94, 329)(95, 318)(96, 335)(97, 322)(98, 342)(99, 372)(100, 332)(101, 373)(102, 326)(103, 327)(104, 330)(105, 331)(106, 333)(107, 377)(108, 343)(109, 376)(110, 378)(111, 345)(112, 380)(113, 381)(114, 350)(115, 352)(116, 383)(117, 358)(118, 360)(119, 362)(120, 361)(121, 382)(122, 384)(123, 367)(124, 379)(125, 370)(126, 371)(127, 375)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 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 E9.987
Graph:: bipartite
	v = 48 e = 256 f = 192
	degree seq :: [ 8^32, 16^16 ]

E9.987 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3 * Y2 * Y3^-1 * Y2)^2, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2, (Y3^3 * Y2 * Y3^-3 * Y2)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 284, 412)(272, 400, 280, 408)(274, 402, 291, 419)(275, 403, 283, 411)(276, 404, 279, 407)(278, 406, 297, 425)(282, 410, 302, 430)(286, 414, 308, 436)(287, 415, 306, 434)(288, 416, 300, 428)(289, 417, 299, 427)(290, 418, 305, 433)(292, 420, 315, 443)(293, 421, 307, 435)(294, 422, 301, 429)(295, 423, 298, 426)(296, 424, 304, 432)(303, 431, 328, 456)(309, 437, 334, 462)(310, 438, 327, 455)(311, 439, 324, 452)(312, 440, 331, 459)(313, 441, 330, 458)(314, 442, 323, 451)(316, 444, 333, 461)(317, 445, 326, 454)(318, 446, 325, 453)(319, 447, 332, 460)(320, 448, 329, 457)(321, 449, 322, 450)(335, 463, 352, 480)(336, 464, 351, 479)(337, 465, 358, 486)(338, 466, 355, 483)(339, 467, 348, 476)(340, 468, 347, 475)(341, 469, 354, 482)(342, 470, 353, 481)(343, 471, 350, 478)(344, 472, 357, 485)(345, 473, 356, 484)(346, 474, 349, 477)(359, 487, 370, 498)(360, 488, 374, 502)(361, 489, 369, 497)(362, 490, 367, 495)(363, 491, 372, 500)(364, 492, 371, 499)(365, 493, 373, 501)(366, 494, 368, 496)(375, 503, 380, 508)(376, 504, 379, 507)(377, 505, 382, 510)(378, 506, 381, 509)(383, 511, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 287)(16, 263)(17, 289)(18, 292)(19, 293)(20, 265)(21, 295)(22, 266)(23, 298)(24, 267)(25, 300)(26, 303)(27, 304)(28, 269)(29, 306)(30, 270)(31, 309)(32, 272)(33, 311)(34, 273)(35, 313)(36, 278)(37, 316)(38, 276)(39, 318)(40, 277)(41, 320)(42, 322)(43, 280)(44, 324)(45, 281)(46, 326)(47, 286)(48, 329)(49, 284)(50, 331)(51, 285)(52, 333)(53, 335)(54, 288)(55, 336)(56, 290)(57, 338)(58, 291)(59, 340)(60, 342)(61, 294)(62, 343)(63, 296)(64, 345)(65, 297)(66, 347)(67, 299)(68, 348)(69, 301)(70, 350)(71, 302)(72, 352)(73, 354)(74, 305)(75, 355)(76, 307)(77, 357)(78, 308)(79, 310)(80, 359)(81, 312)(82, 360)(83, 314)(84, 362)(85, 315)(86, 317)(87, 364)(88, 319)(89, 365)(90, 321)(91, 323)(92, 367)(93, 325)(94, 368)(95, 327)(96, 370)(97, 328)(98, 330)(99, 372)(100, 332)(101, 373)(102, 334)(103, 337)(104, 375)(105, 339)(106, 376)(107, 341)(108, 344)(109, 378)(110, 346)(111, 349)(112, 379)(113, 351)(114, 380)(115, 353)(116, 356)(117, 382)(118, 358)(119, 361)(120, 383)(121, 363)(122, 366)(123, 369)(124, 384)(125, 371)(126, 374)(127, 377)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.986
Graph:: simple bipartite
	v = 192 e = 256 f = 48
	degree seq :: [ 2^128, 4^64 ]

E9.988 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1 * Y3^-1 * Y1^-1)^2, Y1^8, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-2 * Y3^-1 * Y1^-3 * Y3^-1 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 53, 181, 36, 164, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 49, 177, 76, 204, 52, 180, 30, 158, 14, 142)(9, 137, 19, 147, 37, 165, 60, 188, 86, 214, 61, 189, 38, 166, 20, 148)(12, 140, 25, 153, 45, 173, 72, 200, 99, 227, 75, 203, 48, 176, 26, 154)(16, 144, 33, 161, 56, 184, 82, 210, 92, 220, 70, 198, 46, 174, 29, 157)(17, 145, 34, 162, 57, 185, 83, 211, 93, 221, 69, 197, 47, 175, 28, 156)(21, 149, 39, 167, 62, 190, 87, 215, 108, 236, 88, 216, 63, 191, 40, 168)(24, 152, 43, 171, 68, 196, 95, 223, 115, 243, 98, 226, 71, 199, 44, 172)(32, 160, 51, 179, 73, 201, 97, 225, 112, 240, 105, 233, 81, 209, 55, 183)(35, 163, 50, 178, 74, 202, 96, 224, 113, 241, 106, 234, 84, 212, 58, 186)(41, 169, 64, 192, 89, 217, 109, 237, 122, 250, 110, 238, 90, 218, 65, 193)(42, 170, 66, 194, 91, 219, 111, 239, 123, 251, 114, 242, 94, 222, 67, 195)(54, 182, 80, 208, 104, 232, 120, 248, 124, 252, 117, 245, 100, 228, 78, 206)(59, 187, 85, 213, 107, 235, 121, 249, 125, 253, 116, 244, 101, 229, 77, 205)(79, 207, 102, 230, 118, 246, 126, 254, 128, 256, 127, 255, 119, 247, 103, 231)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 291)(19, 290)(20, 289)(21, 266)(22, 297)(23, 298)(24, 267)(25, 302)(26, 303)(27, 306)(28, 269)(29, 270)(30, 307)(31, 310)(32, 271)(33, 276)(34, 275)(35, 274)(36, 315)(37, 314)(38, 311)(39, 312)(40, 313)(41, 278)(42, 279)(43, 325)(44, 326)(45, 329)(46, 281)(47, 282)(48, 330)(49, 333)(50, 283)(51, 286)(52, 334)(53, 335)(54, 287)(55, 294)(56, 295)(57, 296)(58, 293)(59, 292)(60, 341)(61, 336)(62, 337)(63, 340)(64, 339)(65, 338)(66, 348)(67, 349)(68, 352)(69, 299)(70, 300)(71, 353)(72, 356)(73, 301)(74, 304)(75, 357)(76, 358)(77, 305)(78, 308)(79, 309)(80, 317)(81, 318)(82, 321)(83, 320)(84, 319)(85, 316)(86, 359)(87, 360)(88, 363)(89, 362)(90, 361)(91, 368)(92, 322)(93, 323)(94, 369)(95, 372)(96, 324)(97, 327)(98, 373)(99, 374)(100, 328)(101, 331)(102, 332)(103, 342)(104, 343)(105, 346)(106, 345)(107, 344)(108, 375)(109, 377)(110, 376)(111, 380)(112, 347)(113, 350)(114, 381)(115, 382)(116, 351)(117, 354)(118, 355)(119, 364)(120, 366)(121, 365)(122, 383)(123, 384)(124, 367)(125, 370)(126, 371)(127, 378)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.985
Graph:: simple bipartite
	v = 144 e = 256 f = 96
	degree seq :: [ 2^128, 16^16 ]

E9.989 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^8, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, (Y2^3 * Y1 * Y2^-3 * Y1)^2 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 28, 156)(16, 144, 24, 152)(18, 146, 35, 163)(19, 147, 27, 155)(20, 148, 23, 151)(22, 150, 41, 169)(26, 154, 46, 174)(30, 158, 52, 180)(31, 159, 50, 178)(32, 160, 44, 172)(33, 161, 43, 171)(34, 162, 49, 177)(36, 164, 59, 187)(37, 165, 51, 179)(38, 166, 45, 173)(39, 167, 42, 170)(40, 168, 48, 176)(47, 175, 72, 200)(53, 181, 78, 206)(54, 182, 71, 199)(55, 183, 68, 196)(56, 184, 75, 203)(57, 185, 74, 202)(58, 186, 67, 195)(60, 188, 77, 205)(61, 189, 70, 198)(62, 190, 69, 197)(63, 191, 76, 204)(64, 192, 73, 201)(65, 193, 66, 194)(79, 207, 96, 224)(80, 208, 95, 223)(81, 209, 102, 230)(82, 210, 99, 227)(83, 211, 92, 220)(84, 212, 91, 219)(85, 213, 98, 226)(86, 214, 97, 225)(87, 215, 94, 222)(88, 216, 101, 229)(89, 217, 100, 228)(90, 218, 93, 221)(103, 231, 114, 242)(104, 232, 118, 246)(105, 233, 113, 241)(106, 234, 111, 239)(107, 235, 116, 244)(108, 236, 115, 243)(109, 237, 117, 245)(110, 238, 112, 240)(119, 247, 124, 252)(120, 248, 123, 251)(121, 249, 126, 254)(122, 250, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 292, 420, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 303, 431, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 287, 415, 309, 437, 335, 463, 310, 438, 288, 416, 272, 400)(265, 393, 275, 403, 293, 421, 316, 444, 342, 470, 317, 445, 294, 422, 276, 404)(267, 395, 279, 407, 298, 426, 322, 450, 347, 475, 323, 451, 299, 427, 280, 408)(269, 397, 283, 411, 304, 432, 329, 457, 354, 482, 330, 458, 305, 433, 284, 412)(273, 401, 289, 417, 311, 439, 336, 464, 359, 487, 337, 465, 312, 440, 290, 418)(277, 405, 295, 423, 318, 446, 343, 471, 364, 492, 344, 472, 319, 447, 296, 424)(281, 409, 300, 428, 324, 452, 348, 476, 367, 495, 349, 477, 325, 453, 301, 429)(285, 413, 306, 434, 331, 459, 355, 483, 372, 500, 356, 484, 332, 460, 307, 435)(291, 419, 313, 441, 338, 466, 360, 488, 375, 503, 361, 489, 339, 467, 314, 442)(297, 425, 320, 448, 345, 473, 365, 493, 378, 506, 366, 494, 346, 474, 321, 449)(302, 430, 326, 454, 350, 478, 368, 496, 379, 507, 369, 497, 351, 479, 327, 455)(308, 436, 333, 461, 357, 485, 373, 501, 382, 510, 374, 502, 358, 486, 334, 462)(315, 443, 340, 468, 362, 490, 376, 504, 383, 511, 377, 505, 363, 491, 341, 469)(328, 456, 352, 480, 370, 498, 380, 508, 384, 512, 381, 509, 371, 499, 353, 481)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 284)(16, 280)(17, 264)(18, 291)(19, 283)(20, 279)(21, 266)(22, 297)(23, 276)(24, 272)(25, 268)(26, 302)(27, 275)(28, 271)(29, 270)(30, 308)(31, 306)(32, 300)(33, 299)(34, 305)(35, 274)(36, 315)(37, 307)(38, 301)(39, 298)(40, 304)(41, 278)(42, 295)(43, 289)(44, 288)(45, 294)(46, 282)(47, 328)(48, 296)(49, 290)(50, 287)(51, 293)(52, 286)(53, 334)(54, 327)(55, 324)(56, 331)(57, 330)(58, 323)(59, 292)(60, 333)(61, 326)(62, 325)(63, 332)(64, 329)(65, 322)(66, 321)(67, 314)(68, 311)(69, 318)(70, 317)(71, 310)(72, 303)(73, 320)(74, 313)(75, 312)(76, 319)(77, 316)(78, 309)(79, 352)(80, 351)(81, 358)(82, 355)(83, 348)(84, 347)(85, 354)(86, 353)(87, 350)(88, 357)(89, 356)(90, 349)(91, 340)(92, 339)(93, 346)(94, 343)(95, 336)(96, 335)(97, 342)(98, 341)(99, 338)(100, 345)(101, 344)(102, 337)(103, 370)(104, 374)(105, 369)(106, 367)(107, 372)(108, 371)(109, 373)(110, 368)(111, 362)(112, 366)(113, 361)(114, 359)(115, 364)(116, 363)(117, 365)(118, 360)(119, 380)(120, 379)(121, 382)(122, 381)(123, 376)(124, 375)(125, 378)(126, 377)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.990
Graph:: bipartite
	v = 80 e = 256 f = 160
	degree seq :: [ 4^64, 16^16 ]

E9.990 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 : C8) : C2) : C2 (small group id <128, 134>)
Aut   = $<256, 6661>$ (small group id <256, 6661>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-2 * Y1^2 * Y3^-2, Y3^3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^4, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 36, 164, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 33, 161, 29, 157)(17, 145, 37, 165, 22, 150, 39, 167)(20, 148, 43, 171, 27, 155, 41, 169)(24, 152, 47, 175, 76, 204, 49, 177)(26, 154, 45, 173, 75, 203, 52, 180)(30, 158, 55, 183, 69, 197, 40, 168)(32, 160, 59, 187, 68, 196, 57, 185)(38, 166, 64, 192, 56, 184, 66, 194)(42, 170, 70, 198, 93, 221, 61, 189)(44, 172, 74, 202, 92, 220, 72, 200)(46, 174, 77, 205, 51, 179, 67, 195)(48, 176, 79, 207, 90, 218, 80, 208)(50, 178, 63, 191, 96, 224, 83, 211)(53, 181, 73, 201, 95, 223, 86, 214)(54, 182, 62, 190, 94, 222, 82, 210)(58, 186, 71, 199, 91, 219, 60, 188)(65, 193, 97, 225, 78, 206, 98, 226)(81, 209, 100, 228, 89, 217, 108, 236)(84, 212, 106, 234, 120, 248, 110, 238)(85, 213, 105, 233, 119, 247, 107, 235)(87, 215, 111, 239, 116, 244, 101, 229)(88, 216, 104, 232, 117, 245, 99, 227)(102, 230, 118, 246, 124, 252, 113, 241)(103, 231, 115, 243, 125, 253, 112, 240)(109, 237, 114, 242, 126, 254, 122, 250)(121, 249, 127, 255, 123, 251, 128, 256)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 293)(22, 265)(23, 267)(24, 304)(25, 306)(26, 307)(27, 309)(28, 310)(29, 290)(30, 269)(31, 313)(32, 270)(33, 316)(34, 317)(35, 279)(36, 272)(37, 274)(38, 321)(39, 323)(40, 324)(41, 284)(42, 275)(43, 328)(44, 276)(45, 277)(46, 278)(47, 281)(48, 288)(49, 337)(50, 338)(51, 340)(52, 341)(53, 334)(54, 339)(55, 320)(56, 286)(57, 325)(58, 287)(59, 336)(60, 346)(61, 348)(62, 291)(63, 292)(64, 295)(65, 300)(66, 355)(67, 308)(68, 356)(69, 357)(70, 314)(71, 298)(72, 349)(73, 299)(74, 354)(75, 303)(76, 301)(77, 353)(78, 302)(79, 305)(80, 347)(81, 363)(82, 365)(83, 359)(84, 351)(85, 364)(86, 366)(87, 311)(88, 312)(89, 315)(90, 319)(91, 368)(92, 344)(93, 369)(94, 329)(95, 318)(96, 335)(97, 322)(98, 342)(99, 372)(100, 332)(101, 373)(102, 326)(103, 327)(104, 330)(105, 331)(106, 333)(107, 377)(108, 343)(109, 376)(110, 378)(111, 345)(112, 380)(113, 381)(114, 350)(115, 352)(116, 383)(117, 358)(118, 360)(119, 362)(120, 361)(121, 382)(122, 384)(123, 367)(124, 379)(125, 370)(126, 371)(127, 375)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E9.989
Graph:: simple bipartite
	v = 160 e = 256 f = 80
	degree seq :: [ 2^128, 8^32 ]

E9.991 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 5})
Quotient :: regular
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^5, (T1^-1 * T2)^5, T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1 * T2 * T1^2, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 33, 36, 19)(11, 21, 39, 42, 22)(15, 28, 51, 54, 29)(16, 30, 55, 57, 31)(20, 37, 65, 68, 38)(24, 44, 77, 79, 45)(25, 46, 80, 82, 47)(27, 49, 85, 88, 50)(32, 58, 98, 101, 59)(34, 61, 104, 107, 62)(35, 63, 108, 90, 52)(40, 70, 118, 94, 71)(41, 72, 120, 99, 73)(43, 75, 124, 125, 76)(48, 83, 132, 100, 84)(53, 91, 121, 138, 92)(56, 95, 139, 141, 96)(60, 102, 86, 135, 103)(64, 110, 147, 148, 111)(66, 113, 87, 129, 114)(67, 115, 93, 133, 105)(69, 117, 152, 136, 89)(74, 122, 154, 134, 123)(78, 127, 150, 158, 128)(81, 130, 145, 106, 131)(97, 142, 155, 151, 116)(109, 143, 153, 119, 146)(112, 149, 144, 156, 126)(137, 157, 160, 140, 159)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 32)(18, 34)(19, 35)(21, 40)(22, 41)(23, 43)(26, 48)(28, 52)(29, 53)(30, 56)(31, 44)(33, 60)(36, 64)(37, 66)(38, 67)(39, 69)(42, 74)(45, 78)(46, 81)(47, 70)(49, 86)(50, 87)(51, 89)(54, 93)(55, 94)(57, 97)(58, 99)(59, 100)(61, 105)(62, 106)(63, 109)(65, 112)(68, 116)(71, 119)(72, 121)(73, 113)(75, 85)(76, 104)(77, 126)(79, 108)(80, 129)(82, 110)(83, 133)(84, 134)(88, 128)(90, 122)(91, 137)(92, 135)(95, 132)(96, 140)(98, 143)(101, 111)(102, 144)(103, 118)(107, 120)(114, 141)(115, 150)(117, 124)(123, 155)(125, 153)(127, 157)(130, 154)(131, 159)(136, 139)(138, 142)(145, 156)(146, 160)(147, 158)(148, 151)(149, 152)
	local type(s) :: { ( 5^5 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 32 e = 80 f = 32
	degree seq :: [ 5^32 ]

E9.992 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 5})
Quotient :: edge
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1)^5, T2^2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-2, T1 * T2^2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 10, 4)(2, 5, 12, 14, 6)(7, 15, 28, 30, 16)(9, 18, 34, 36, 19)(11, 21, 40, 42, 22)(13, 24, 46, 48, 25)(17, 31, 57, 59, 32)(20, 37, 66, 68, 38)(23, 43, 75, 77, 44)(26, 49, 84, 86, 50)(27, 47, 81, 88, 51)(29, 53, 92, 94, 54)(33, 60, 103, 105, 61)(35, 63, 109, 69, 39)(41, 71, 120, 122, 72)(45, 78, 127, 129, 79)(52, 89, 136, 137, 90)(55, 95, 126, 85, 96)(56, 93, 130, 80, 97)(58, 99, 133, 83, 100)(62, 106, 74, 121, 107)(64, 110, 147, 148, 111)(65, 112, 76, 124, 113)(67, 115, 73, 123, 102)(70, 98, 142, 153, 118)(82, 132, 159, 151, 116)(87, 135, 150, 156, 125)(91, 138, 144, 104, 139)(101, 117, 152, 140, 143)(108, 134, 160, 141, 146)(114, 149, 145, 158, 131)(119, 154, 157, 128, 155)(161, 162)(163, 167)(164, 169)(165, 171)(166, 173)(168, 177)(170, 180)(172, 183)(174, 186)(175, 187)(176, 189)(178, 193)(179, 195)(181, 199)(182, 201)(184, 205)(185, 207)(188, 212)(190, 215)(191, 216)(192, 218)(194, 222)(196, 224)(197, 225)(198, 227)(200, 230)(202, 233)(203, 234)(204, 236)(206, 240)(208, 242)(209, 243)(210, 245)(211, 247)(213, 251)(214, 253)(217, 258)(219, 261)(220, 262)(221, 264)(223, 268)(226, 274)(228, 276)(229, 277)(231, 279)(232, 281)(235, 249)(237, 285)(238, 286)(239, 288)(241, 291)(244, 294)(246, 271)(248, 269)(250, 263)(252, 284)(254, 270)(255, 283)(256, 300)(257, 301)(259, 280)(260, 272)(265, 293)(266, 305)(267, 290)(273, 289)(275, 310)(278, 287)(282, 292)(295, 314)(296, 302)(297, 320)(298, 312)(299, 315)(303, 319)(304, 318)(306, 317)(307, 316)(308, 311)(309, 313)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 10, 10 ), ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E9.993
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 160 f = 32
	degree seq :: [ 2^80, 5^32 ]

E9.993 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 5})
Quotient :: loop
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1)^5, T2^2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-2, T1 * T2^2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 161, 3, 163, 8, 168, 10, 170, 4, 164)(2, 162, 5, 165, 12, 172, 14, 174, 6, 166)(7, 167, 15, 175, 28, 188, 30, 190, 16, 176)(9, 169, 18, 178, 34, 194, 36, 196, 19, 179)(11, 171, 21, 181, 40, 200, 42, 202, 22, 182)(13, 173, 24, 184, 46, 206, 48, 208, 25, 185)(17, 177, 31, 191, 57, 217, 59, 219, 32, 192)(20, 180, 37, 197, 66, 226, 68, 228, 38, 198)(23, 183, 43, 203, 75, 235, 77, 237, 44, 204)(26, 186, 49, 209, 84, 244, 86, 246, 50, 210)(27, 187, 47, 207, 81, 241, 88, 248, 51, 211)(29, 189, 53, 213, 92, 252, 94, 254, 54, 214)(33, 193, 60, 220, 103, 263, 105, 265, 61, 221)(35, 195, 63, 223, 109, 269, 69, 229, 39, 199)(41, 201, 71, 231, 120, 280, 122, 282, 72, 232)(45, 205, 78, 238, 127, 287, 129, 289, 79, 239)(52, 212, 89, 249, 136, 296, 137, 297, 90, 250)(55, 215, 95, 255, 126, 286, 85, 245, 96, 256)(56, 216, 93, 253, 130, 290, 80, 240, 97, 257)(58, 218, 99, 259, 133, 293, 83, 243, 100, 260)(62, 222, 106, 266, 74, 234, 121, 281, 107, 267)(64, 224, 110, 270, 147, 307, 148, 308, 111, 271)(65, 225, 112, 272, 76, 236, 124, 284, 113, 273)(67, 227, 115, 275, 73, 233, 123, 283, 102, 262)(70, 230, 98, 258, 142, 302, 153, 313, 118, 278)(82, 242, 132, 292, 159, 319, 151, 311, 116, 276)(87, 247, 135, 295, 150, 310, 156, 316, 125, 285)(91, 251, 138, 298, 144, 304, 104, 264, 139, 299)(101, 261, 117, 277, 152, 312, 140, 300, 143, 303)(108, 268, 134, 294, 160, 320, 141, 301, 146, 306)(114, 274, 149, 309, 145, 305, 158, 318, 131, 291)(119, 279, 154, 314, 157, 317, 128, 288, 155, 315)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 171)(6, 173)(7, 163)(8, 177)(9, 164)(10, 180)(11, 165)(12, 183)(13, 166)(14, 186)(15, 187)(16, 189)(17, 168)(18, 193)(19, 195)(20, 170)(21, 199)(22, 201)(23, 172)(24, 205)(25, 207)(26, 174)(27, 175)(28, 212)(29, 176)(30, 215)(31, 216)(32, 218)(33, 178)(34, 222)(35, 179)(36, 224)(37, 225)(38, 227)(39, 181)(40, 230)(41, 182)(42, 233)(43, 234)(44, 236)(45, 184)(46, 240)(47, 185)(48, 242)(49, 243)(50, 245)(51, 247)(52, 188)(53, 251)(54, 253)(55, 190)(56, 191)(57, 258)(58, 192)(59, 261)(60, 262)(61, 264)(62, 194)(63, 268)(64, 196)(65, 197)(66, 274)(67, 198)(68, 276)(69, 277)(70, 200)(71, 279)(72, 281)(73, 202)(74, 203)(75, 249)(76, 204)(77, 285)(78, 286)(79, 288)(80, 206)(81, 291)(82, 208)(83, 209)(84, 294)(85, 210)(86, 271)(87, 211)(88, 269)(89, 235)(90, 263)(91, 213)(92, 284)(93, 214)(94, 270)(95, 283)(96, 300)(97, 301)(98, 217)(99, 280)(100, 272)(101, 219)(102, 220)(103, 250)(104, 221)(105, 293)(106, 305)(107, 290)(108, 223)(109, 248)(110, 254)(111, 246)(112, 260)(113, 289)(114, 226)(115, 310)(116, 228)(117, 229)(118, 287)(119, 231)(120, 259)(121, 232)(122, 292)(123, 255)(124, 252)(125, 237)(126, 238)(127, 278)(128, 239)(129, 273)(130, 267)(131, 241)(132, 282)(133, 265)(134, 244)(135, 314)(136, 302)(137, 320)(138, 312)(139, 315)(140, 256)(141, 257)(142, 296)(143, 319)(144, 318)(145, 266)(146, 317)(147, 316)(148, 311)(149, 313)(150, 275)(151, 308)(152, 298)(153, 309)(154, 295)(155, 299)(156, 307)(157, 306)(158, 304)(159, 303)(160, 297)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E9.992
Transitivity :: ET+ VT+ AT
Graph::
	v = 32 e = 160 f = 112
	degree seq :: [ 10^32 ]

E9.994 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5})
Quotient :: dipole
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, (R * Y2^-2 * Y1)^2, (Y3 * Y2^-1)^5, Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-2, Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^4 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 11, 171)(6, 166, 13, 173)(8, 168, 17, 177)(10, 170, 20, 180)(12, 172, 23, 183)(14, 174, 26, 186)(15, 175, 27, 187)(16, 176, 29, 189)(18, 178, 33, 193)(19, 179, 35, 195)(21, 181, 39, 199)(22, 182, 41, 201)(24, 184, 45, 205)(25, 185, 47, 207)(28, 188, 52, 212)(30, 190, 55, 215)(31, 191, 56, 216)(32, 192, 58, 218)(34, 194, 62, 222)(36, 196, 64, 224)(37, 197, 65, 225)(38, 198, 67, 227)(40, 200, 70, 230)(42, 202, 73, 233)(43, 203, 74, 234)(44, 204, 76, 236)(46, 206, 80, 240)(48, 208, 82, 242)(49, 209, 83, 243)(50, 210, 85, 245)(51, 211, 87, 247)(53, 213, 91, 251)(54, 214, 93, 253)(57, 217, 98, 258)(59, 219, 101, 261)(60, 220, 102, 262)(61, 221, 104, 264)(63, 223, 108, 268)(66, 226, 114, 274)(68, 228, 116, 276)(69, 229, 117, 277)(71, 231, 119, 279)(72, 232, 121, 281)(75, 235, 89, 249)(77, 237, 125, 285)(78, 238, 126, 286)(79, 239, 128, 288)(81, 241, 131, 291)(84, 244, 134, 294)(86, 246, 111, 271)(88, 248, 109, 269)(90, 250, 103, 263)(92, 252, 124, 284)(94, 254, 110, 270)(95, 255, 123, 283)(96, 256, 140, 300)(97, 257, 141, 301)(99, 259, 120, 280)(100, 260, 112, 272)(105, 265, 133, 293)(106, 266, 145, 305)(107, 267, 130, 290)(113, 273, 129, 289)(115, 275, 150, 310)(118, 278, 127, 287)(122, 282, 132, 292)(135, 295, 154, 314)(136, 296, 142, 302)(137, 297, 160, 320)(138, 298, 152, 312)(139, 299, 155, 315)(143, 303, 159, 319)(144, 304, 158, 318)(146, 306, 157, 317)(147, 307, 156, 316)(148, 308, 151, 311)(149, 309, 153, 313)(321, 481, 323, 483, 328, 488, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 334, 494, 326, 486)(327, 487, 335, 495, 348, 508, 350, 510, 336, 496)(329, 489, 338, 498, 354, 514, 356, 516, 339, 499)(331, 491, 341, 501, 360, 520, 362, 522, 342, 502)(333, 493, 344, 504, 366, 526, 368, 528, 345, 505)(337, 497, 351, 511, 377, 537, 379, 539, 352, 512)(340, 500, 357, 517, 386, 546, 388, 548, 358, 518)(343, 503, 363, 523, 395, 555, 397, 557, 364, 524)(346, 506, 369, 529, 404, 564, 406, 566, 370, 530)(347, 507, 367, 527, 401, 561, 408, 568, 371, 531)(349, 509, 373, 533, 412, 572, 414, 574, 374, 534)(353, 513, 380, 540, 423, 583, 425, 585, 381, 541)(355, 515, 383, 543, 429, 589, 389, 549, 359, 519)(361, 521, 391, 551, 440, 600, 442, 602, 392, 552)(365, 525, 398, 558, 447, 607, 449, 609, 399, 559)(372, 532, 409, 569, 456, 616, 457, 617, 410, 570)(375, 535, 415, 575, 446, 606, 405, 565, 416, 576)(376, 536, 413, 573, 450, 610, 400, 560, 417, 577)(378, 538, 419, 579, 453, 613, 403, 563, 420, 580)(382, 542, 426, 586, 394, 554, 441, 601, 427, 587)(384, 544, 430, 590, 467, 627, 468, 628, 431, 591)(385, 545, 432, 592, 396, 556, 444, 604, 433, 593)(387, 547, 435, 595, 393, 553, 443, 603, 422, 582)(390, 550, 418, 578, 462, 622, 473, 633, 438, 598)(402, 562, 452, 612, 479, 639, 471, 631, 436, 596)(407, 567, 455, 615, 470, 630, 476, 636, 445, 605)(411, 571, 458, 618, 464, 624, 424, 584, 459, 619)(421, 581, 437, 597, 472, 632, 460, 620, 463, 623)(428, 588, 454, 614, 480, 640, 461, 621, 466, 626)(434, 594, 469, 629, 465, 625, 478, 638, 451, 611)(439, 599, 474, 634, 477, 637, 448, 608, 475, 635)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 337)(9, 324)(10, 340)(11, 325)(12, 343)(13, 326)(14, 346)(15, 347)(16, 349)(17, 328)(18, 353)(19, 355)(20, 330)(21, 359)(22, 361)(23, 332)(24, 365)(25, 367)(26, 334)(27, 335)(28, 372)(29, 336)(30, 375)(31, 376)(32, 378)(33, 338)(34, 382)(35, 339)(36, 384)(37, 385)(38, 387)(39, 341)(40, 390)(41, 342)(42, 393)(43, 394)(44, 396)(45, 344)(46, 400)(47, 345)(48, 402)(49, 403)(50, 405)(51, 407)(52, 348)(53, 411)(54, 413)(55, 350)(56, 351)(57, 418)(58, 352)(59, 421)(60, 422)(61, 424)(62, 354)(63, 428)(64, 356)(65, 357)(66, 434)(67, 358)(68, 436)(69, 437)(70, 360)(71, 439)(72, 441)(73, 362)(74, 363)(75, 409)(76, 364)(77, 445)(78, 446)(79, 448)(80, 366)(81, 451)(82, 368)(83, 369)(84, 454)(85, 370)(86, 431)(87, 371)(88, 429)(89, 395)(90, 423)(91, 373)(92, 444)(93, 374)(94, 430)(95, 443)(96, 460)(97, 461)(98, 377)(99, 440)(100, 432)(101, 379)(102, 380)(103, 410)(104, 381)(105, 453)(106, 465)(107, 450)(108, 383)(109, 408)(110, 414)(111, 406)(112, 420)(113, 449)(114, 386)(115, 470)(116, 388)(117, 389)(118, 447)(119, 391)(120, 419)(121, 392)(122, 452)(123, 415)(124, 412)(125, 397)(126, 398)(127, 438)(128, 399)(129, 433)(130, 427)(131, 401)(132, 442)(133, 425)(134, 404)(135, 474)(136, 462)(137, 480)(138, 472)(139, 475)(140, 416)(141, 417)(142, 456)(143, 479)(144, 478)(145, 426)(146, 477)(147, 476)(148, 471)(149, 473)(150, 435)(151, 468)(152, 458)(153, 469)(154, 455)(155, 459)(156, 467)(157, 466)(158, 464)(159, 463)(160, 457)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.995
Graph:: bipartite
	v = 112 e = 320 f = 192
	degree seq :: [ 4^80, 10^32 ]

E9.995 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5})
Quotient :: dipole
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|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, (Y3 * Y1^-1)^5, Y1^2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 161, 2, 162, 5, 165, 10, 170, 4, 164)(3, 163, 7, 167, 14, 174, 17, 177, 8, 168)(6, 166, 12, 172, 23, 183, 26, 186, 13, 173)(9, 169, 18, 178, 33, 193, 36, 196, 19, 179)(11, 171, 21, 181, 39, 199, 42, 202, 22, 182)(15, 175, 28, 188, 51, 211, 54, 214, 29, 189)(16, 176, 30, 190, 55, 215, 57, 217, 31, 191)(20, 180, 37, 197, 65, 225, 68, 228, 38, 198)(24, 184, 44, 204, 77, 237, 79, 239, 45, 205)(25, 185, 46, 206, 80, 240, 82, 242, 47, 207)(27, 187, 49, 209, 85, 245, 88, 248, 50, 210)(32, 192, 58, 218, 98, 258, 101, 261, 59, 219)(34, 194, 61, 221, 104, 264, 107, 267, 62, 222)(35, 195, 63, 223, 108, 268, 90, 250, 52, 212)(40, 200, 70, 230, 118, 278, 94, 254, 71, 231)(41, 201, 72, 232, 120, 280, 99, 259, 73, 233)(43, 203, 75, 235, 124, 284, 125, 285, 76, 236)(48, 208, 83, 243, 132, 292, 100, 260, 84, 244)(53, 213, 91, 251, 121, 281, 138, 298, 92, 252)(56, 216, 95, 255, 139, 299, 141, 301, 96, 256)(60, 220, 102, 262, 86, 246, 135, 295, 103, 263)(64, 224, 110, 270, 147, 307, 148, 308, 111, 271)(66, 226, 113, 273, 87, 247, 129, 289, 114, 274)(67, 227, 115, 275, 93, 253, 133, 293, 105, 265)(69, 229, 117, 277, 152, 312, 136, 296, 89, 249)(74, 234, 122, 282, 154, 314, 134, 294, 123, 283)(78, 238, 127, 287, 150, 310, 158, 318, 128, 288)(81, 241, 130, 290, 145, 305, 106, 266, 131, 291)(97, 257, 142, 302, 155, 315, 151, 311, 116, 276)(109, 269, 143, 303, 153, 313, 119, 279, 146, 306)(112, 272, 149, 309, 144, 304, 156, 316, 126, 286)(137, 297, 157, 317, 160, 320, 140, 300, 159, 319)(321, 481)(322, 482)(323, 483)(324, 484)(325, 485)(326, 486)(327, 487)(328, 488)(329, 489)(330, 490)(331, 491)(332, 492)(333, 493)(334, 494)(335, 495)(336, 496)(337, 497)(338, 498)(339, 499)(340, 500)(341, 501)(342, 502)(343, 503)(344, 504)(345, 505)(346, 506)(347, 507)(348, 508)(349, 509)(350, 510)(351, 511)(352, 512)(353, 513)(354, 514)(355, 515)(356, 516)(357, 517)(358, 518)(359, 519)(360, 520)(361, 521)(362, 522)(363, 523)(364, 524)(365, 525)(366, 526)(367, 527)(368, 528)(369, 529)(370, 530)(371, 531)(372, 532)(373, 533)(374, 534)(375, 535)(376, 536)(377, 537)(378, 538)(379, 539)(380, 540)(381, 541)(382, 542)(383, 543)(384, 544)(385, 545)(386, 546)(387, 547)(388, 548)(389, 549)(390, 550)(391, 551)(392, 552)(393, 553)(394, 554)(395, 555)(396, 556)(397, 557)(398, 558)(399, 559)(400, 560)(401, 561)(402, 562)(403, 563)(404, 564)(405, 565)(406, 566)(407, 567)(408, 568)(409, 569)(410, 570)(411, 571)(412, 572)(413, 573)(414, 574)(415, 575)(416, 576)(417, 577)(418, 578)(419, 579)(420, 580)(421, 581)(422, 582)(423, 583)(424, 584)(425, 585)(426, 586)(427, 587)(428, 588)(429, 589)(430, 590)(431, 591)(432, 592)(433, 593)(434, 594)(435, 595)(436, 596)(437, 597)(438, 598)(439, 599)(440, 600)(441, 601)(442, 602)(443, 603)(444, 604)(445, 605)(446, 606)(447, 607)(448, 608)(449, 609)(450, 610)(451, 611)(452, 612)(453, 613)(454, 614)(455, 615)(456, 616)(457, 617)(458, 618)(459, 619)(460, 620)(461, 621)(462, 622)(463, 623)(464, 624)(465, 625)(466, 626)(467, 627)(468, 628)(469, 629)(470, 630)(471, 631)(472, 632)(473, 633)(474, 634)(475, 635)(476, 636)(477, 637)(478, 638)(479, 639)(480, 640)
	L = (1, 323)(2, 326)(3, 321)(4, 329)(5, 331)(6, 322)(7, 335)(8, 336)(9, 324)(10, 340)(11, 325)(12, 344)(13, 345)(14, 347)(15, 327)(16, 328)(17, 352)(18, 354)(19, 355)(20, 330)(21, 360)(22, 361)(23, 363)(24, 332)(25, 333)(26, 368)(27, 334)(28, 372)(29, 373)(30, 376)(31, 364)(32, 337)(33, 380)(34, 338)(35, 339)(36, 384)(37, 386)(38, 387)(39, 389)(40, 341)(41, 342)(42, 394)(43, 343)(44, 351)(45, 398)(46, 401)(47, 390)(48, 346)(49, 406)(50, 407)(51, 409)(52, 348)(53, 349)(54, 413)(55, 414)(56, 350)(57, 417)(58, 419)(59, 420)(60, 353)(61, 425)(62, 426)(63, 429)(64, 356)(65, 432)(66, 357)(67, 358)(68, 436)(69, 359)(70, 367)(71, 439)(72, 441)(73, 433)(74, 362)(75, 405)(76, 424)(77, 446)(78, 365)(79, 428)(80, 449)(81, 366)(82, 430)(83, 453)(84, 454)(85, 395)(86, 369)(87, 370)(88, 448)(89, 371)(90, 442)(91, 457)(92, 455)(93, 374)(94, 375)(95, 452)(96, 460)(97, 377)(98, 463)(99, 378)(100, 379)(101, 431)(102, 464)(103, 438)(104, 396)(105, 381)(106, 382)(107, 440)(108, 399)(109, 383)(110, 402)(111, 421)(112, 385)(113, 393)(114, 461)(115, 470)(116, 388)(117, 444)(118, 423)(119, 391)(120, 427)(121, 392)(122, 410)(123, 475)(124, 437)(125, 473)(126, 397)(127, 477)(128, 408)(129, 400)(130, 474)(131, 479)(132, 415)(133, 403)(134, 404)(135, 412)(136, 459)(137, 411)(138, 462)(139, 456)(140, 416)(141, 434)(142, 458)(143, 418)(144, 422)(145, 476)(146, 480)(147, 478)(148, 471)(149, 472)(150, 435)(151, 468)(152, 469)(153, 445)(154, 450)(155, 443)(156, 465)(157, 447)(158, 467)(159, 451)(160, 466)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.994
Graph:: simple bipartite
	v = 192 e = 320 f = 112
	degree seq :: [ 2^160, 10^32 ]

E9.996 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^6, (T2 * T1)^4, (T2 * T1^2)^4, (T1^-1 * T2 * T1 * T2)^3, (T2 * T1^-3)^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, 93, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 107, 68, 39)(22, 40, 69, 110, 72, 41)(27, 49, 83, 118, 75, 43)(30, 52, 89, 137, 92, 53)(34, 59, 99, 116, 74, 60)(36, 63, 104, 152, 105, 64)(44, 76, 119, 159, 112, 70)(47, 79, 65, 106, 127, 80)(50, 85, 131, 157, 111, 86)(51, 87, 133, 156, 136, 88)(55, 84, 130, 158, 138, 90)(58, 97, 117, 161, 146, 98)(62, 102, 114, 162, 151, 103)(67, 71, 113, 160, 155, 109)(77, 121, 169, 154, 108, 122)(78, 123, 171, 153, 174, 124)(81, 120, 168, 142, 94, 125)(91, 139, 182, 188, 166, 134)(95, 143, 185, 189, 177, 129)(96, 144, 180, 186, 170, 145)(100, 135, 179, 187, 172, 126)(101, 148, 164, 115, 163, 149)(128, 176, 150, 181, 191, 167)(132, 173, 141, 184, 190, 165)(140, 183, 192, 178, 147, 175)
	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, 95)(57, 96)(59, 100)(60, 97)(61, 101)(64, 98)(66, 108)(68, 89)(69, 111)(72, 114)(73, 115)(75, 117)(76, 120)(79, 125)(80, 126)(82, 128)(83, 129)(85, 132)(86, 130)(87, 134)(88, 135)(92, 140)(93, 141)(99, 147)(102, 146)(103, 150)(104, 138)(105, 144)(106, 139)(107, 153)(109, 142)(110, 156)(112, 158)(113, 161)(116, 165)(118, 166)(119, 167)(121, 170)(122, 168)(123, 172)(124, 173)(127, 175)(131, 178)(133, 177)(136, 180)(137, 181)(143, 174)(145, 164)(148, 176)(149, 182)(151, 183)(152, 179)(154, 185)(155, 184)(157, 186)(159, 187)(160, 188)(162, 189)(163, 190)(169, 192)(171, 191)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E9.997
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 6^32 ]

E9.997 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^4, (T2 * T1^-1 * T2 * T1)^3, (T1^-1 * T2)^6, T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-2 ]
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, 52, 40)(29, 48, 75, 49)(30, 50, 77, 51)(32, 53, 79, 54)(33, 55, 82, 56)(34, 57, 47, 58)(42, 68, 99, 69)(43, 63, 91, 70)(45, 72, 102, 73)(46, 74, 88, 60)(61, 83, 113, 89)(64, 92, 110, 80)(65, 93, 125, 94)(66, 95, 128, 96)(67, 97, 71, 98)(76, 84, 114, 106)(78, 108, 111, 81)(85, 115, 149, 116)(86, 117, 152, 118)(87, 119, 90, 120)(100, 129, 146, 134)(101, 135, 145, 126)(103, 130, 148, 137)(104, 138, 147, 127)(105, 139, 107, 140)(109, 143, 112, 144)(121, 153, 136, 157)(122, 158, 141, 150)(123, 154, 133, 159)(124, 160, 142, 151)(131, 163, 171, 164)(132, 165, 172, 156)(155, 175, 170, 176)(161, 173, 162, 174)(166, 183, 168, 181)(167, 184, 169, 182)(177, 187, 179, 185)(178, 188, 180, 186)(189, 192, 190, 191)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 71)(48, 76)(49, 73)(50, 78)(51, 68)(53, 80)(54, 81)(55, 83)(56, 84)(57, 85)(58, 86)(59, 87)(62, 90)(69, 100)(70, 101)(72, 103)(74, 104)(75, 105)(77, 107)(79, 109)(82, 112)(88, 121)(89, 122)(91, 123)(92, 124)(93, 126)(94, 127)(95, 129)(96, 130)(97, 131)(98, 132)(99, 133)(102, 136)(106, 141)(108, 142)(110, 145)(111, 146)(113, 147)(114, 148)(115, 150)(116, 151)(117, 153)(118, 154)(119, 155)(120, 156)(125, 161)(128, 162)(134, 166)(135, 167)(137, 168)(138, 169)(139, 170)(140, 165)(143, 171)(144, 172)(149, 173)(152, 174)(157, 177)(158, 178)(159, 179)(160, 180)(163, 181)(164, 182)(175, 185)(176, 186)(183, 189)(184, 190)(187, 191)(188, 192)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E9.996
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.998 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^4, (T1 * T2^-1 * T1 * T2)^3, (T2^-1 * T1)^6, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 65, 40)(25, 42, 69, 43)(28, 47, 76, 48)(30, 50, 78, 51)(31, 52, 79, 53)(33, 55, 83, 56)(36, 60, 90, 61)(38, 63, 92, 64)(41, 67, 49, 68)(44, 71, 101, 72)(46, 73, 103, 74)(54, 81, 62, 82)(57, 85, 117, 86)(59, 87, 119, 88)(66, 94, 127, 95)(70, 99, 134, 100)(75, 104, 138, 105)(77, 107, 136, 102)(80, 110, 145, 111)(84, 115, 152, 116)(89, 120, 156, 121)(91, 123, 154, 118)(93, 125, 98, 126)(96, 129, 164, 130)(97, 131, 166, 132)(106, 140, 108, 141)(109, 143, 114, 144)(112, 147, 174, 148)(113, 149, 176, 150)(122, 158, 124, 159)(128, 162, 139, 163)(133, 167, 142, 165)(135, 168, 137, 169)(146, 172, 157, 173)(151, 177, 160, 175)(153, 178, 155, 179)(161, 181, 170, 182)(171, 185, 180, 186)(183, 190, 184, 189)(187, 192, 188, 191)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 233)(218, 236)(219, 238)(221, 241)(224, 246)(226, 249)(227, 251)(229, 254)(231, 256)(232, 258)(234, 247)(235, 262)(237, 250)(239, 267)(240, 253)(242, 269)(243, 244)(245, 272)(248, 276)(252, 281)(255, 283)(257, 285)(259, 288)(260, 289)(261, 290)(263, 292)(264, 294)(265, 286)(266, 296)(268, 298)(270, 300)(271, 301)(273, 304)(274, 305)(275, 306)(277, 308)(278, 310)(279, 302)(280, 312)(282, 314)(284, 316)(287, 320)(291, 325)(293, 327)(295, 329)(297, 331)(299, 334)(303, 338)(307, 343)(309, 345)(311, 347)(313, 349)(315, 352)(317, 353)(318, 342)(319, 346)(321, 355)(322, 357)(323, 351)(324, 336)(326, 344)(328, 337)(330, 348)(332, 362)(333, 341)(335, 363)(339, 365)(340, 367)(350, 372)(354, 375)(356, 370)(358, 371)(359, 376)(360, 366)(361, 368)(364, 379)(369, 380)(373, 377)(374, 381)(378, 383)(382, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E9.1002
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 32
	degree seq :: [ 2^96, 4^48 ]

E9.999 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^6, (T2 * T1^-1)^4, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-2 * T1^2 * T2^-1 * T1 * T2^2 * T1^-2, (T2^2 * T1^-1)^4 ]
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, 61, 35, 16)(11, 26, 52, 86, 48, 23)(13, 29, 56, 97, 58, 30)(18, 39, 72, 115, 68, 36)(19, 40, 73, 122, 75, 41)(21, 43, 77, 127, 79, 44)(25, 51, 90, 141, 88, 49)(28, 55, 95, 145, 93, 53)(31, 50, 89, 142, 101, 59)(33, 63, 107, 152, 103, 60)(34, 64, 108, 158, 110, 65)(38, 71, 119, 169, 117, 69)(42, 70, 118, 170, 126, 76)(45, 80, 130, 176, 132, 81)(47, 83, 109, 159, 134, 84)(54, 94, 146, 177, 133, 82)(57, 99, 150, 151, 102, 96)(62, 106, 156, 182, 154, 104)(66, 105, 155, 183, 161, 111)(67, 112, 78, 128, 162, 113)(74, 124, 174, 144, 92, 121)(85, 135, 178, 189, 179, 136)(87, 138, 157, 184, 160, 139)(91, 143, 100, 149, 153, 137)(98, 140, 180, 190, 181, 148)(114, 163, 185, 191, 186, 164)(116, 166, 147, 175, 129, 167)(120, 171, 125, 173, 131, 165)(123, 168, 187, 192, 188, 172)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 225, 207)(202, 215, 239, 217)(204, 208, 226, 220)(206, 223, 249, 221)(209, 228, 259, 230)(212, 234, 266, 232)(214, 237, 270, 235)(216, 241, 279, 242)(218, 236, 255, 233)(219, 245, 284, 246)(222, 247, 257, 231)(224, 252, 294, 254)(227, 258, 301, 256)(229, 261, 308, 262)(238, 274, 323, 272)(240, 277, 300, 275)(243, 276, 320, 273)(244, 267, 317, 283)(248, 288, 295, 290)(250, 292, 339, 287)(251, 263, 305, 291)(253, 296, 345, 297)(260, 306, 269, 304)(264, 302, 352, 312)(265, 313, 285, 315)(268, 298, 343, 316)(271, 321, 349, 299)(278, 329, 346, 327)(280, 332, 344, 330)(281, 331, 350, 328)(282, 324, 348, 318)(286, 336, 351, 303)(289, 340, 347, 341)(293, 338, 353, 311)(307, 357, 325, 355)(309, 360, 337, 358)(310, 359, 319, 356)(314, 364, 322, 365)(326, 366, 342, 354)(333, 362, 378, 372)(334, 371, 377, 369)(335, 363, 376, 367)(361, 375, 373, 379)(368, 380, 370, 374)(381, 384, 382, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E9.1003
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 192 f = 96
	degree seq :: [ 4^48, 6^32 ]

E9.1000 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1)^4, (T2 * T1^2)^4, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^-3)^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, 90)(53, 91)(54, 94)(56, 95)(57, 96)(59, 100)(60, 97)(61, 101)(64, 98)(66, 108)(68, 89)(69, 111)(72, 114)(73, 115)(75, 117)(76, 120)(79, 125)(80, 126)(82, 128)(83, 129)(85, 132)(86, 130)(87, 134)(88, 135)(92, 140)(93, 141)(99, 147)(102, 146)(103, 150)(104, 138)(105, 144)(106, 139)(107, 153)(109, 142)(110, 156)(112, 158)(113, 161)(116, 165)(118, 166)(119, 167)(121, 170)(122, 168)(123, 172)(124, 173)(127, 175)(131, 178)(133, 177)(136, 180)(137, 181)(143, 174)(145, 164)(148, 176)(149, 182)(151, 183)(152, 179)(154, 185)(155, 184)(157, 186)(159, 187)(160, 188)(162, 189)(163, 190)(169, 192)(171, 191)(193, 194, 197, 203, 202, 196)(195, 199, 207, 221, 210, 200)(198, 205, 217, 238, 220, 206)(201, 211, 227, 253, 229, 212)(204, 215, 234, 265, 237, 216)(208, 223, 246, 285, 248, 224)(209, 225, 249, 274, 240, 218)(213, 230, 258, 299, 260, 231)(214, 232, 261, 302, 264, 233)(219, 241, 275, 310, 267, 235)(222, 244, 281, 329, 284, 245)(226, 251, 291, 308, 266, 252)(228, 255, 296, 344, 297, 256)(236, 268, 311, 351, 304, 262)(239, 271, 257, 298, 319, 272)(242, 277, 323, 349, 303, 278)(243, 279, 325, 348, 328, 280)(247, 276, 322, 350, 330, 282)(250, 289, 309, 353, 338, 290)(254, 294, 306, 354, 343, 295)(259, 263, 305, 352, 347, 301)(269, 313, 361, 346, 300, 314)(270, 315, 363, 345, 366, 316)(273, 312, 360, 334, 286, 317)(283, 331, 374, 380, 358, 326)(287, 335, 377, 381, 369, 321)(288, 336, 372, 378, 362, 337)(292, 327, 371, 379, 364, 318)(293, 340, 356, 307, 355, 341)(320, 368, 342, 373, 383, 359)(324, 365, 333, 376, 382, 357)(332, 375, 384, 370, 339, 367)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.1001
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 48
	degree seq :: [ 2^96, 6^32 ]

E9.1001 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^4, (T1 * T2^-1 * T1 * T2)^3, (T2^-1 * T1)^6, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 45, 237, 27, 219)(20, 212, 34, 226, 58, 250, 35, 227)(23, 215, 39, 231, 65, 257, 40, 232)(25, 217, 42, 234, 69, 261, 43, 235)(28, 220, 47, 239, 76, 268, 48, 240)(30, 222, 50, 242, 78, 270, 51, 243)(31, 223, 52, 244, 79, 271, 53, 245)(33, 225, 55, 247, 83, 275, 56, 248)(36, 228, 60, 252, 90, 282, 61, 253)(38, 230, 63, 255, 92, 284, 64, 256)(41, 233, 67, 259, 49, 241, 68, 260)(44, 236, 71, 263, 101, 293, 72, 264)(46, 238, 73, 265, 103, 295, 74, 266)(54, 246, 81, 273, 62, 254, 82, 274)(57, 249, 85, 277, 117, 309, 86, 278)(59, 251, 87, 279, 119, 311, 88, 280)(66, 258, 94, 286, 127, 319, 95, 287)(70, 262, 99, 291, 134, 326, 100, 292)(75, 267, 104, 296, 138, 330, 105, 297)(77, 269, 107, 299, 136, 328, 102, 294)(80, 272, 110, 302, 145, 337, 111, 303)(84, 276, 115, 307, 152, 344, 116, 308)(89, 281, 120, 312, 156, 348, 121, 313)(91, 283, 123, 315, 154, 346, 118, 310)(93, 285, 125, 317, 98, 290, 126, 318)(96, 288, 129, 321, 164, 356, 130, 322)(97, 289, 131, 323, 166, 358, 132, 324)(106, 298, 140, 332, 108, 300, 141, 333)(109, 301, 143, 335, 114, 306, 144, 336)(112, 304, 147, 339, 174, 366, 148, 340)(113, 305, 149, 341, 176, 368, 150, 342)(122, 314, 158, 350, 124, 316, 159, 351)(128, 320, 162, 354, 139, 331, 163, 355)(133, 325, 167, 359, 142, 334, 165, 357)(135, 327, 168, 360, 137, 329, 169, 361)(146, 338, 172, 364, 157, 349, 173, 365)(151, 343, 177, 369, 160, 352, 175, 367)(153, 345, 178, 370, 155, 347, 179, 371)(161, 353, 181, 373, 170, 362, 182, 374)(171, 363, 185, 377, 180, 372, 186, 378)(183, 375, 190, 382, 184, 376, 189, 381)(187, 379, 192, 384, 188, 380, 191, 383)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 233)(25, 206)(26, 236)(27, 238)(28, 208)(29, 241)(30, 209)(31, 210)(32, 246)(33, 211)(34, 249)(35, 251)(36, 213)(37, 254)(38, 214)(39, 256)(40, 258)(41, 216)(42, 247)(43, 262)(44, 218)(45, 250)(46, 219)(47, 267)(48, 253)(49, 221)(50, 269)(51, 244)(52, 243)(53, 272)(54, 224)(55, 234)(56, 276)(57, 226)(58, 237)(59, 227)(60, 281)(61, 240)(62, 229)(63, 283)(64, 231)(65, 285)(66, 232)(67, 288)(68, 289)(69, 290)(70, 235)(71, 292)(72, 294)(73, 286)(74, 296)(75, 239)(76, 298)(77, 242)(78, 300)(79, 301)(80, 245)(81, 304)(82, 305)(83, 306)(84, 248)(85, 308)(86, 310)(87, 302)(88, 312)(89, 252)(90, 314)(91, 255)(92, 316)(93, 257)(94, 265)(95, 320)(96, 259)(97, 260)(98, 261)(99, 325)(100, 263)(101, 327)(102, 264)(103, 329)(104, 266)(105, 331)(106, 268)(107, 334)(108, 270)(109, 271)(110, 279)(111, 338)(112, 273)(113, 274)(114, 275)(115, 343)(116, 277)(117, 345)(118, 278)(119, 347)(120, 280)(121, 349)(122, 282)(123, 352)(124, 284)(125, 353)(126, 342)(127, 346)(128, 287)(129, 355)(130, 357)(131, 351)(132, 336)(133, 291)(134, 344)(135, 293)(136, 337)(137, 295)(138, 348)(139, 297)(140, 362)(141, 341)(142, 299)(143, 363)(144, 324)(145, 328)(146, 303)(147, 365)(148, 367)(149, 333)(150, 318)(151, 307)(152, 326)(153, 309)(154, 319)(155, 311)(156, 330)(157, 313)(158, 372)(159, 323)(160, 315)(161, 317)(162, 375)(163, 321)(164, 370)(165, 322)(166, 371)(167, 376)(168, 366)(169, 368)(170, 332)(171, 335)(172, 379)(173, 339)(174, 360)(175, 340)(176, 361)(177, 380)(178, 356)(179, 358)(180, 350)(181, 377)(182, 381)(183, 354)(184, 359)(185, 373)(186, 383)(187, 364)(188, 369)(189, 374)(190, 384)(191, 378)(192, 382)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.1000
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 128
	degree seq :: [ 8^48 ]

E9.1002 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^6, (T2 * T1^-1)^4, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-2 * T1^2 * T2^-1 * T1 * T2^2 * T1^-2, (T2^2 * T1^-1)^4 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 37, 229, 20, 212, 8, 200)(4, 196, 12, 204, 27, 219, 46, 238, 22, 214, 9, 201)(6, 198, 15, 207, 32, 224, 61, 253, 35, 227, 16, 208)(11, 203, 26, 218, 52, 244, 86, 278, 48, 240, 23, 215)(13, 205, 29, 221, 56, 248, 97, 289, 58, 250, 30, 222)(18, 210, 39, 231, 72, 264, 115, 307, 68, 260, 36, 228)(19, 211, 40, 232, 73, 265, 122, 314, 75, 267, 41, 233)(21, 213, 43, 235, 77, 269, 127, 319, 79, 271, 44, 236)(25, 217, 51, 243, 90, 282, 141, 333, 88, 280, 49, 241)(28, 220, 55, 247, 95, 287, 145, 337, 93, 285, 53, 245)(31, 223, 50, 242, 89, 281, 142, 334, 101, 293, 59, 251)(33, 225, 63, 255, 107, 299, 152, 344, 103, 295, 60, 252)(34, 226, 64, 256, 108, 300, 158, 350, 110, 302, 65, 257)(38, 230, 71, 263, 119, 311, 169, 361, 117, 309, 69, 261)(42, 234, 70, 262, 118, 310, 170, 362, 126, 318, 76, 268)(45, 237, 80, 272, 130, 322, 176, 368, 132, 324, 81, 273)(47, 239, 83, 275, 109, 301, 159, 351, 134, 326, 84, 276)(54, 246, 94, 286, 146, 338, 177, 369, 133, 325, 82, 274)(57, 249, 99, 291, 150, 342, 151, 343, 102, 294, 96, 288)(62, 254, 106, 298, 156, 348, 182, 374, 154, 346, 104, 296)(66, 258, 105, 297, 155, 347, 183, 375, 161, 353, 111, 303)(67, 259, 112, 304, 78, 270, 128, 320, 162, 354, 113, 305)(74, 266, 124, 316, 174, 366, 144, 336, 92, 284, 121, 313)(85, 277, 135, 327, 178, 370, 189, 381, 179, 371, 136, 328)(87, 279, 138, 330, 157, 349, 184, 376, 160, 352, 139, 331)(91, 283, 143, 335, 100, 292, 149, 341, 153, 345, 137, 329)(98, 290, 140, 332, 180, 372, 190, 382, 181, 373, 148, 340)(114, 306, 163, 355, 185, 377, 191, 383, 186, 378, 164, 356)(116, 308, 166, 358, 147, 339, 175, 367, 129, 321, 167, 359)(120, 312, 171, 363, 125, 317, 173, 365, 131, 323, 165, 357)(123, 315, 168, 360, 187, 379, 192, 384, 188, 380, 172, 364)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 223)(15, 200)(16, 226)(17, 228)(18, 199)(19, 225)(20, 234)(21, 203)(22, 237)(23, 239)(24, 241)(25, 202)(26, 236)(27, 245)(28, 204)(29, 206)(30, 247)(31, 249)(32, 252)(33, 207)(34, 220)(35, 258)(36, 259)(37, 261)(38, 209)(39, 222)(40, 212)(41, 218)(42, 266)(43, 214)(44, 255)(45, 270)(46, 274)(47, 217)(48, 277)(49, 279)(50, 216)(51, 276)(52, 267)(53, 284)(54, 219)(55, 257)(56, 288)(57, 221)(58, 292)(59, 263)(60, 294)(61, 296)(62, 224)(63, 233)(64, 227)(65, 231)(66, 301)(67, 230)(68, 306)(69, 308)(70, 229)(71, 305)(72, 302)(73, 313)(74, 232)(75, 317)(76, 298)(77, 304)(78, 235)(79, 321)(80, 238)(81, 243)(82, 323)(83, 240)(84, 320)(85, 300)(86, 329)(87, 242)(88, 332)(89, 331)(90, 324)(91, 244)(92, 246)(93, 315)(94, 336)(95, 250)(96, 295)(97, 340)(98, 248)(99, 251)(100, 339)(101, 338)(102, 254)(103, 290)(104, 345)(105, 253)(106, 343)(107, 271)(108, 275)(109, 256)(110, 352)(111, 286)(112, 260)(113, 291)(114, 269)(115, 357)(116, 262)(117, 360)(118, 359)(119, 293)(120, 264)(121, 285)(122, 364)(123, 265)(124, 268)(125, 283)(126, 282)(127, 356)(128, 273)(129, 349)(130, 365)(131, 272)(132, 348)(133, 355)(134, 366)(135, 278)(136, 281)(137, 346)(138, 280)(139, 350)(140, 344)(141, 362)(142, 371)(143, 363)(144, 351)(145, 358)(146, 353)(147, 287)(148, 347)(149, 289)(150, 354)(151, 316)(152, 330)(153, 297)(154, 327)(155, 341)(156, 318)(157, 299)(158, 328)(159, 303)(160, 312)(161, 311)(162, 326)(163, 307)(164, 310)(165, 325)(166, 309)(167, 319)(168, 337)(169, 375)(170, 378)(171, 376)(172, 322)(173, 314)(174, 342)(175, 335)(176, 380)(177, 334)(178, 374)(179, 377)(180, 333)(181, 379)(182, 368)(183, 373)(184, 367)(185, 369)(186, 372)(187, 361)(188, 370)(189, 384)(190, 383)(191, 381)(192, 382)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.998
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 192 f = 144
	degree seq :: [ 12^32 ]

E9.1003 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1)^4, (T2 * T1^2)^4, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^-3)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 22, 214)(13, 205, 26, 218)(14, 206, 27, 219)(15, 207, 30, 222)(18, 210, 34, 226)(19, 211, 36, 228)(20, 212, 31, 223)(23, 215, 43, 235)(24, 216, 44, 236)(25, 217, 47, 239)(28, 220, 50, 242)(29, 221, 51, 243)(32, 224, 55, 247)(33, 225, 58, 250)(35, 227, 62, 254)(37, 229, 65, 257)(38, 230, 67, 259)(39, 231, 63, 255)(40, 232, 70, 262)(41, 233, 71, 263)(42, 234, 74, 266)(45, 237, 77, 269)(46, 238, 78, 270)(48, 240, 81, 273)(49, 241, 84, 276)(52, 244, 90, 282)(53, 245, 91, 283)(54, 246, 94, 286)(56, 248, 95, 287)(57, 249, 96, 288)(59, 251, 100, 292)(60, 252, 97, 289)(61, 253, 101, 293)(64, 256, 98, 290)(66, 258, 108, 300)(68, 260, 89, 281)(69, 261, 111, 303)(72, 264, 114, 306)(73, 265, 115, 307)(75, 267, 117, 309)(76, 268, 120, 312)(79, 271, 125, 317)(80, 272, 126, 318)(82, 274, 128, 320)(83, 275, 129, 321)(85, 277, 132, 324)(86, 278, 130, 322)(87, 279, 134, 326)(88, 280, 135, 327)(92, 284, 140, 332)(93, 285, 141, 333)(99, 291, 147, 339)(102, 294, 146, 338)(103, 295, 150, 342)(104, 296, 138, 330)(105, 297, 144, 336)(106, 298, 139, 331)(107, 299, 153, 345)(109, 301, 142, 334)(110, 302, 156, 348)(112, 304, 158, 350)(113, 305, 161, 353)(116, 308, 165, 357)(118, 310, 166, 358)(119, 311, 167, 359)(121, 313, 170, 362)(122, 314, 168, 360)(123, 315, 172, 364)(124, 316, 173, 365)(127, 319, 175, 367)(131, 323, 178, 370)(133, 325, 177, 369)(136, 328, 180, 372)(137, 329, 181, 373)(143, 335, 174, 366)(145, 337, 164, 356)(148, 340, 176, 368)(149, 341, 182, 374)(151, 343, 183, 375)(152, 344, 179, 371)(154, 346, 185, 377)(155, 347, 184, 376)(157, 349, 186, 378)(159, 351, 187, 379)(160, 352, 188, 380)(162, 354, 189, 381)(163, 355, 190, 382)(169, 361, 192, 384)(171, 363, 191, 383)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 202)(12, 215)(13, 217)(14, 198)(15, 221)(16, 223)(17, 225)(18, 200)(19, 227)(20, 201)(21, 230)(22, 232)(23, 234)(24, 204)(25, 238)(26, 209)(27, 241)(28, 206)(29, 210)(30, 244)(31, 246)(32, 208)(33, 249)(34, 251)(35, 253)(36, 255)(37, 212)(38, 258)(39, 213)(40, 261)(41, 214)(42, 265)(43, 219)(44, 268)(45, 216)(46, 220)(47, 271)(48, 218)(49, 275)(50, 277)(51, 279)(52, 281)(53, 222)(54, 285)(55, 276)(56, 224)(57, 274)(58, 289)(59, 291)(60, 226)(61, 229)(62, 294)(63, 296)(64, 228)(65, 298)(66, 299)(67, 263)(68, 231)(69, 302)(70, 236)(71, 305)(72, 233)(73, 237)(74, 252)(75, 235)(76, 311)(77, 313)(78, 315)(79, 257)(80, 239)(81, 312)(82, 240)(83, 310)(84, 322)(85, 323)(86, 242)(87, 325)(88, 243)(89, 329)(90, 247)(91, 331)(92, 245)(93, 248)(94, 317)(95, 335)(96, 336)(97, 309)(98, 250)(99, 308)(100, 327)(101, 340)(102, 306)(103, 254)(104, 344)(105, 256)(106, 319)(107, 260)(108, 314)(109, 259)(110, 264)(111, 278)(112, 262)(113, 352)(114, 354)(115, 355)(116, 266)(117, 353)(118, 267)(119, 351)(120, 360)(121, 361)(122, 269)(123, 363)(124, 270)(125, 273)(126, 292)(127, 272)(128, 368)(129, 287)(130, 350)(131, 349)(132, 365)(133, 348)(134, 283)(135, 371)(136, 280)(137, 284)(138, 282)(139, 374)(140, 375)(141, 376)(142, 286)(143, 377)(144, 372)(145, 288)(146, 290)(147, 367)(148, 356)(149, 293)(150, 373)(151, 295)(152, 297)(153, 366)(154, 300)(155, 301)(156, 328)(157, 303)(158, 330)(159, 304)(160, 347)(161, 338)(162, 343)(163, 341)(164, 307)(165, 324)(166, 326)(167, 320)(168, 334)(169, 346)(170, 337)(171, 345)(172, 318)(173, 333)(174, 316)(175, 332)(176, 342)(177, 321)(178, 339)(179, 379)(180, 378)(181, 383)(182, 380)(183, 384)(184, 382)(185, 381)(186, 362)(187, 364)(188, 358)(189, 369)(190, 357)(191, 359)(192, 370)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.999
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 80
	degree seq :: [ 4^96 ]

E9.1004 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|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)^4, (Y1 * Y2^-1 * Y1 * Y2)^3, (Y3 * Y2^-1)^6, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 41, 233)(26, 218, 44, 236)(27, 219, 46, 238)(29, 221, 49, 241)(32, 224, 54, 246)(34, 226, 57, 249)(35, 227, 59, 251)(37, 229, 62, 254)(39, 231, 64, 256)(40, 232, 66, 258)(42, 234, 55, 247)(43, 235, 70, 262)(45, 237, 58, 250)(47, 239, 75, 267)(48, 240, 61, 253)(50, 242, 77, 269)(51, 243, 52, 244)(53, 245, 80, 272)(56, 248, 84, 276)(60, 252, 89, 281)(63, 255, 91, 283)(65, 257, 93, 285)(67, 259, 96, 288)(68, 260, 97, 289)(69, 261, 98, 290)(71, 263, 100, 292)(72, 264, 102, 294)(73, 265, 94, 286)(74, 266, 104, 296)(76, 268, 106, 298)(78, 270, 108, 300)(79, 271, 109, 301)(81, 273, 112, 304)(82, 274, 113, 305)(83, 275, 114, 306)(85, 277, 116, 308)(86, 278, 118, 310)(87, 279, 110, 302)(88, 280, 120, 312)(90, 282, 122, 314)(92, 284, 124, 316)(95, 287, 128, 320)(99, 291, 133, 325)(101, 293, 135, 327)(103, 295, 137, 329)(105, 297, 139, 331)(107, 299, 142, 334)(111, 303, 146, 338)(115, 307, 151, 343)(117, 309, 153, 345)(119, 311, 155, 347)(121, 313, 157, 349)(123, 315, 160, 352)(125, 317, 161, 353)(126, 318, 150, 342)(127, 319, 154, 346)(129, 321, 163, 355)(130, 322, 165, 357)(131, 323, 159, 351)(132, 324, 144, 336)(134, 326, 152, 344)(136, 328, 145, 337)(138, 330, 156, 348)(140, 332, 170, 362)(141, 333, 149, 341)(143, 335, 171, 363)(147, 339, 173, 365)(148, 340, 175, 367)(158, 350, 180, 372)(162, 354, 183, 375)(164, 356, 178, 370)(166, 358, 179, 371)(167, 359, 184, 376)(168, 360, 174, 366)(169, 361, 176, 368)(172, 364, 187, 379)(177, 369, 188, 380)(181, 373, 185, 377)(182, 374, 189, 381)(186, 378, 191, 383)(190, 382, 192, 384)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 429, 621, 411, 603)(404, 596, 418, 610, 442, 634, 419, 611)(407, 599, 423, 615, 449, 641, 424, 616)(409, 601, 426, 618, 453, 645, 427, 619)(412, 604, 431, 623, 460, 652, 432, 624)(414, 606, 434, 626, 462, 654, 435, 627)(415, 607, 436, 628, 463, 655, 437, 629)(417, 609, 439, 631, 467, 659, 440, 632)(420, 612, 444, 636, 474, 666, 445, 637)(422, 614, 447, 639, 476, 668, 448, 640)(425, 617, 451, 643, 433, 625, 452, 644)(428, 620, 455, 647, 485, 677, 456, 648)(430, 622, 457, 649, 487, 679, 458, 650)(438, 630, 465, 657, 446, 638, 466, 658)(441, 633, 469, 661, 501, 693, 470, 662)(443, 635, 471, 663, 503, 695, 472, 664)(450, 642, 478, 670, 511, 703, 479, 671)(454, 646, 483, 675, 518, 710, 484, 676)(459, 651, 488, 680, 522, 714, 489, 681)(461, 653, 491, 683, 520, 712, 486, 678)(464, 656, 494, 686, 529, 721, 495, 687)(468, 660, 499, 691, 536, 728, 500, 692)(473, 665, 504, 696, 540, 732, 505, 697)(475, 667, 507, 699, 538, 730, 502, 694)(477, 669, 509, 701, 482, 674, 510, 702)(480, 672, 513, 705, 548, 740, 514, 706)(481, 673, 515, 707, 550, 742, 516, 708)(490, 682, 524, 716, 492, 684, 525, 717)(493, 685, 527, 719, 498, 690, 528, 720)(496, 688, 531, 723, 558, 750, 532, 724)(497, 689, 533, 725, 560, 752, 534, 726)(506, 698, 542, 734, 508, 700, 543, 735)(512, 704, 546, 738, 523, 715, 547, 739)(517, 709, 551, 743, 526, 718, 549, 741)(519, 711, 552, 744, 521, 713, 553, 745)(530, 722, 556, 748, 541, 733, 557, 749)(535, 727, 561, 753, 544, 736, 559, 751)(537, 729, 562, 754, 539, 731, 563, 755)(545, 737, 565, 757, 554, 746, 566, 758)(555, 747, 569, 761, 564, 756, 570, 762)(567, 759, 574, 766, 568, 760, 573, 765)(571, 763, 576, 768, 572, 764, 575, 767)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 448)(40, 450)(41, 408)(42, 439)(43, 454)(44, 410)(45, 442)(46, 411)(47, 459)(48, 445)(49, 413)(50, 461)(51, 436)(52, 435)(53, 464)(54, 416)(55, 426)(56, 468)(57, 418)(58, 429)(59, 419)(60, 473)(61, 432)(62, 421)(63, 475)(64, 423)(65, 477)(66, 424)(67, 480)(68, 481)(69, 482)(70, 427)(71, 484)(72, 486)(73, 478)(74, 488)(75, 431)(76, 490)(77, 434)(78, 492)(79, 493)(80, 437)(81, 496)(82, 497)(83, 498)(84, 440)(85, 500)(86, 502)(87, 494)(88, 504)(89, 444)(90, 506)(91, 447)(92, 508)(93, 449)(94, 457)(95, 512)(96, 451)(97, 452)(98, 453)(99, 517)(100, 455)(101, 519)(102, 456)(103, 521)(104, 458)(105, 523)(106, 460)(107, 526)(108, 462)(109, 463)(110, 471)(111, 530)(112, 465)(113, 466)(114, 467)(115, 535)(116, 469)(117, 537)(118, 470)(119, 539)(120, 472)(121, 541)(122, 474)(123, 544)(124, 476)(125, 545)(126, 534)(127, 538)(128, 479)(129, 547)(130, 549)(131, 543)(132, 528)(133, 483)(134, 536)(135, 485)(136, 529)(137, 487)(138, 540)(139, 489)(140, 554)(141, 533)(142, 491)(143, 555)(144, 516)(145, 520)(146, 495)(147, 557)(148, 559)(149, 525)(150, 510)(151, 499)(152, 518)(153, 501)(154, 511)(155, 503)(156, 522)(157, 505)(158, 564)(159, 515)(160, 507)(161, 509)(162, 567)(163, 513)(164, 562)(165, 514)(166, 563)(167, 568)(168, 558)(169, 560)(170, 524)(171, 527)(172, 571)(173, 531)(174, 552)(175, 532)(176, 553)(177, 572)(178, 548)(179, 550)(180, 542)(181, 569)(182, 573)(183, 546)(184, 551)(185, 565)(186, 575)(187, 556)(188, 561)(189, 566)(190, 576)(191, 570)(192, 574)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.1007
Graph:: bipartite
	v = 144 e = 384 f = 224
	degree seq :: [ 4^96, 8^48 ]

E9.1005 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|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, Y2^6, (Y2 * Y1^-1)^4, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y1^2 * Y2^-1 * Y1 * Y2^2 * Y1^-2, (Y2^2 * Y1^-1)^4 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 33, 225, 15, 207)(10, 202, 23, 215, 47, 239, 25, 217)(12, 204, 16, 208, 34, 226, 28, 220)(14, 206, 31, 223, 57, 249, 29, 221)(17, 209, 36, 228, 67, 259, 38, 230)(20, 212, 42, 234, 74, 266, 40, 232)(22, 214, 45, 237, 78, 270, 43, 235)(24, 216, 49, 241, 87, 279, 50, 242)(26, 218, 44, 236, 63, 255, 41, 233)(27, 219, 53, 245, 92, 284, 54, 246)(30, 222, 55, 247, 65, 257, 39, 231)(32, 224, 60, 252, 102, 294, 62, 254)(35, 227, 66, 258, 109, 301, 64, 256)(37, 229, 69, 261, 116, 308, 70, 262)(46, 238, 82, 274, 131, 323, 80, 272)(48, 240, 85, 277, 108, 300, 83, 275)(51, 243, 84, 276, 128, 320, 81, 273)(52, 244, 75, 267, 125, 317, 91, 283)(56, 248, 96, 288, 103, 295, 98, 290)(58, 250, 100, 292, 147, 339, 95, 287)(59, 251, 71, 263, 113, 305, 99, 291)(61, 253, 104, 296, 153, 345, 105, 297)(68, 260, 114, 306, 77, 269, 112, 304)(72, 264, 110, 302, 160, 352, 120, 312)(73, 265, 121, 313, 93, 285, 123, 315)(76, 268, 106, 298, 151, 343, 124, 316)(79, 271, 129, 321, 157, 349, 107, 299)(86, 278, 137, 329, 154, 346, 135, 327)(88, 280, 140, 332, 152, 344, 138, 330)(89, 281, 139, 331, 158, 350, 136, 328)(90, 282, 132, 324, 156, 348, 126, 318)(94, 286, 144, 336, 159, 351, 111, 303)(97, 289, 148, 340, 155, 347, 149, 341)(101, 293, 146, 338, 161, 353, 119, 311)(115, 307, 165, 357, 133, 325, 163, 355)(117, 309, 168, 360, 145, 337, 166, 358)(118, 310, 167, 359, 127, 319, 164, 356)(122, 314, 172, 364, 130, 322, 173, 365)(134, 326, 174, 366, 150, 342, 162, 354)(141, 333, 170, 362, 186, 378, 180, 372)(142, 334, 179, 371, 185, 377, 177, 369)(143, 335, 171, 363, 184, 376, 175, 367)(169, 361, 183, 375, 181, 373, 187, 379)(176, 368, 188, 380, 178, 370, 182, 374)(189, 381, 192, 384, 190, 382, 191, 383)(385, 577, 387, 579, 394, 586, 408, 600, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 421, 613, 404, 596, 392, 584)(388, 580, 396, 588, 411, 603, 430, 622, 406, 598, 393, 585)(390, 582, 399, 591, 416, 608, 445, 637, 419, 611, 400, 592)(395, 587, 410, 602, 436, 628, 470, 662, 432, 624, 407, 599)(397, 589, 413, 605, 440, 632, 481, 673, 442, 634, 414, 606)(402, 594, 423, 615, 456, 648, 499, 691, 452, 644, 420, 612)(403, 595, 424, 616, 457, 649, 506, 698, 459, 651, 425, 617)(405, 597, 427, 619, 461, 653, 511, 703, 463, 655, 428, 620)(409, 601, 435, 627, 474, 666, 525, 717, 472, 664, 433, 625)(412, 604, 439, 631, 479, 671, 529, 721, 477, 669, 437, 629)(415, 607, 434, 626, 473, 665, 526, 718, 485, 677, 443, 635)(417, 609, 447, 639, 491, 683, 536, 728, 487, 679, 444, 636)(418, 610, 448, 640, 492, 684, 542, 734, 494, 686, 449, 641)(422, 614, 455, 647, 503, 695, 553, 745, 501, 693, 453, 645)(426, 618, 454, 646, 502, 694, 554, 746, 510, 702, 460, 652)(429, 621, 464, 656, 514, 706, 560, 752, 516, 708, 465, 657)(431, 623, 467, 659, 493, 685, 543, 735, 518, 710, 468, 660)(438, 630, 478, 670, 530, 722, 561, 753, 517, 709, 466, 658)(441, 633, 483, 675, 534, 726, 535, 727, 486, 678, 480, 672)(446, 638, 490, 682, 540, 732, 566, 758, 538, 730, 488, 680)(450, 642, 489, 681, 539, 731, 567, 759, 545, 737, 495, 687)(451, 643, 496, 688, 462, 654, 512, 704, 546, 738, 497, 689)(458, 650, 508, 700, 558, 750, 528, 720, 476, 668, 505, 697)(469, 661, 519, 711, 562, 754, 573, 765, 563, 755, 520, 712)(471, 663, 522, 714, 541, 733, 568, 760, 544, 736, 523, 715)(475, 667, 527, 719, 484, 676, 533, 725, 537, 729, 521, 713)(482, 674, 524, 716, 564, 756, 574, 766, 565, 757, 532, 724)(498, 690, 547, 739, 569, 761, 575, 767, 570, 762, 548, 740)(500, 692, 550, 742, 531, 723, 559, 751, 513, 705, 551, 743)(504, 696, 555, 747, 509, 701, 557, 749, 515, 707, 549, 741)(507, 699, 552, 744, 571, 763, 576, 768, 572, 764, 556, 748)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 416)(16, 390)(17, 421)(18, 423)(19, 424)(20, 392)(21, 427)(22, 393)(23, 395)(24, 398)(25, 435)(26, 436)(27, 430)(28, 439)(29, 440)(30, 397)(31, 434)(32, 445)(33, 447)(34, 448)(35, 400)(36, 402)(37, 404)(38, 455)(39, 456)(40, 457)(41, 403)(42, 454)(43, 461)(44, 405)(45, 464)(46, 406)(47, 467)(48, 407)(49, 409)(50, 473)(51, 474)(52, 470)(53, 412)(54, 478)(55, 479)(56, 481)(57, 483)(58, 414)(59, 415)(60, 417)(61, 419)(62, 490)(63, 491)(64, 492)(65, 418)(66, 489)(67, 496)(68, 420)(69, 422)(70, 502)(71, 503)(72, 499)(73, 506)(74, 508)(75, 425)(76, 426)(77, 511)(78, 512)(79, 428)(80, 514)(81, 429)(82, 438)(83, 493)(84, 431)(85, 519)(86, 432)(87, 522)(88, 433)(89, 526)(90, 525)(91, 527)(92, 505)(93, 437)(94, 530)(95, 529)(96, 441)(97, 442)(98, 524)(99, 534)(100, 533)(101, 443)(102, 480)(103, 444)(104, 446)(105, 539)(106, 540)(107, 536)(108, 542)(109, 543)(110, 449)(111, 450)(112, 462)(113, 451)(114, 547)(115, 452)(116, 550)(117, 453)(118, 554)(119, 553)(120, 555)(121, 458)(122, 459)(123, 552)(124, 558)(125, 557)(126, 460)(127, 463)(128, 546)(129, 551)(130, 560)(131, 549)(132, 465)(133, 466)(134, 468)(135, 562)(136, 469)(137, 475)(138, 541)(139, 471)(140, 564)(141, 472)(142, 485)(143, 484)(144, 476)(145, 477)(146, 561)(147, 559)(148, 482)(149, 537)(150, 535)(151, 486)(152, 487)(153, 521)(154, 488)(155, 567)(156, 566)(157, 568)(158, 494)(159, 518)(160, 523)(161, 495)(162, 497)(163, 569)(164, 498)(165, 504)(166, 531)(167, 500)(168, 571)(169, 501)(170, 510)(171, 509)(172, 507)(173, 515)(174, 528)(175, 513)(176, 516)(177, 517)(178, 573)(179, 520)(180, 574)(181, 532)(182, 538)(183, 545)(184, 544)(185, 575)(186, 548)(187, 576)(188, 556)(189, 563)(190, 565)(191, 570)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 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 E9.1006
Graph:: bipartite
	v = 80 e = 384 f = 288
	degree seq :: [ 8^48, 12^32 ]

E9.1006 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2)^4, (Y2 * Y3^2)^4, (Y3^-1 * Y2 * Y3 * Y2)^3, (Y3^-1 * Y1^-1)^6, Y3^-3 * Y2 * Y3^3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 408, 600)(398, 590, 412, 604)(399, 591, 411, 603)(400, 592, 414, 606)(402, 594, 418, 610)(403, 595, 419, 611)(404, 596, 406, 598)(407, 599, 425, 617)(409, 601, 429, 621)(410, 602, 430, 622)(413, 605, 435, 627)(415, 607, 439, 631)(416, 608, 438, 630)(417, 609, 441, 633)(420, 612, 447, 639)(421, 613, 449, 641)(422, 614, 450, 642)(423, 615, 445, 637)(424, 616, 453, 645)(426, 618, 457, 649)(427, 619, 456, 648)(428, 620, 459, 651)(431, 623, 465, 657)(432, 624, 467, 659)(433, 625, 468, 660)(434, 626, 463, 655)(436, 628, 473, 665)(437, 629, 455, 647)(440, 632, 470, 662)(442, 634, 481, 673)(443, 635, 480, 672)(444, 636, 483, 675)(446, 638, 464, 656)(448, 640, 489, 681)(451, 643, 492, 684)(452, 644, 458, 650)(454, 646, 496, 688)(460, 652, 504, 696)(461, 653, 503, 695)(462, 654, 506, 698)(466, 658, 512, 704)(469, 661, 515, 707)(471, 663, 494, 686)(472, 664, 514, 706)(474, 666, 500, 692)(475, 667, 508, 700)(476, 668, 521, 713)(477, 669, 497, 689)(478, 670, 524, 716)(479, 671, 513, 705)(482, 674, 523, 715)(484, 676, 531, 723)(485, 677, 498, 690)(486, 678, 510, 702)(487, 679, 509, 701)(488, 680, 533, 725)(490, 682, 502, 694)(491, 683, 495, 687)(493, 685, 539, 731)(499, 691, 544, 736)(501, 693, 547, 739)(505, 697, 546, 738)(507, 699, 554, 746)(511, 703, 556, 748)(516, 708, 562, 754)(517, 709, 551, 743)(518, 710, 560, 752)(519, 711, 542, 734)(520, 712, 549, 741)(522, 714, 561, 753)(525, 717, 559, 751)(526, 718, 543, 735)(527, 719, 557, 749)(528, 720, 540, 732)(529, 721, 552, 744)(530, 722, 555, 747)(532, 724, 553, 745)(534, 726, 550, 742)(535, 727, 558, 750)(536, 728, 548, 740)(537, 729, 541, 733)(538, 730, 545, 737)(563, 755, 572, 764)(564, 756, 576, 768)(565, 757, 570, 762)(566, 758, 575, 767)(567, 759, 574, 766)(568, 760, 573, 765)(569, 761, 571, 763)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 406)(12, 409)(13, 410)(14, 390)(15, 413)(16, 391)(17, 416)(18, 394)(19, 420)(20, 393)(21, 422)(22, 424)(23, 395)(24, 427)(25, 398)(26, 431)(27, 397)(28, 433)(29, 436)(30, 437)(31, 400)(32, 440)(33, 401)(34, 443)(35, 445)(36, 448)(37, 404)(38, 451)(39, 405)(40, 454)(41, 455)(42, 407)(43, 458)(44, 408)(45, 461)(46, 463)(47, 466)(48, 411)(49, 469)(50, 412)(51, 471)(52, 415)(53, 474)(54, 414)(55, 476)(56, 478)(57, 479)(58, 417)(59, 482)(60, 418)(61, 485)(62, 419)(63, 487)(64, 421)(65, 490)(66, 483)(67, 493)(68, 423)(69, 494)(70, 426)(71, 497)(72, 425)(73, 499)(74, 501)(75, 502)(76, 428)(77, 505)(78, 429)(79, 508)(80, 430)(81, 510)(82, 432)(83, 513)(84, 506)(85, 516)(86, 434)(87, 449)(88, 435)(89, 518)(90, 520)(91, 438)(92, 522)(93, 439)(94, 442)(95, 525)(96, 441)(97, 527)(98, 529)(99, 530)(100, 444)(101, 532)(102, 446)(103, 531)(104, 447)(105, 535)(106, 517)(107, 450)(108, 528)(109, 452)(110, 467)(111, 453)(112, 541)(113, 543)(114, 456)(115, 545)(116, 457)(117, 460)(118, 548)(119, 459)(120, 550)(121, 552)(122, 553)(123, 462)(124, 555)(125, 464)(126, 554)(127, 465)(128, 558)(129, 540)(130, 468)(131, 551)(132, 470)(133, 472)(134, 563)(135, 473)(136, 475)(137, 542)(138, 564)(139, 477)(140, 565)(141, 566)(142, 480)(143, 567)(144, 481)(145, 484)(146, 568)(147, 569)(148, 486)(149, 547)(150, 488)(151, 556)(152, 489)(153, 491)(154, 492)(155, 544)(156, 495)(157, 570)(158, 496)(159, 498)(160, 519)(161, 571)(162, 500)(163, 572)(164, 573)(165, 503)(166, 574)(167, 504)(168, 507)(169, 575)(170, 576)(171, 509)(172, 524)(173, 511)(174, 533)(175, 512)(176, 514)(177, 515)(178, 521)(179, 539)(180, 523)(181, 536)(182, 526)(183, 538)(184, 537)(185, 534)(186, 562)(187, 546)(188, 559)(189, 549)(190, 561)(191, 560)(192, 557)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.1005
Graph:: simple bipartite
	v = 288 e = 384 f = 80
	degree seq :: [ 2^192, 4^96 ]

E9.1007 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|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)^4, (Y3 * Y1^2)^4, (Y3 * Y1 * Y3 * Y1^-1)^3, (Y3 * Y1^-3)^4 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 29, 221, 18, 210, 8, 200)(6, 198, 13, 205, 25, 217, 46, 238, 28, 220, 14, 206)(9, 201, 19, 211, 35, 227, 61, 253, 37, 229, 20, 212)(12, 204, 23, 215, 42, 234, 73, 265, 45, 237, 24, 216)(16, 208, 31, 223, 54, 246, 93, 285, 56, 248, 32, 224)(17, 209, 33, 225, 57, 249, 82, 274, 48, 240, 26, 218)(21, 213, 38, 230, 66, 258, 107, 299, 68, 260, 39, 231)(22, 214, 40, 232, 69, 261, 110, 302, 72, 264, 41, 233)(27, 219, 49, 241, 83, 275, 118, 310, 75, 267, 43, 235)(30, 222, 52, 244, 89, 281, 137, 329, 92, 284, 53, 245)(34, 226, 59, 251, 99, 291, 116, 308, 74, 266, 60, 252)(36, 228, 63, 255, 104, 296, 152, 344, 105, 297, 64, 256)(44, 236, 76, 268, 119, 311, 159, 351, 112, 304, 70, 262)(47, 239, 79, 271, 65, 257, 106, 298, 127, 319, 80, 272)(50, 242, 85, 277, 131, 323, 157, 349, 111, 303, 86, 278)(51, 243, 87, 279, 133, 325, 156, 348, 136, 328, 88, 280)(55, 247, 84, 276, 130, 322, 158, 350, 138, 330, 90, 282)(58, 250, 97, 289, 117, 309, 161, 353, 146, 338, 98, 290)(62, 254, 102, 294, 114, 306, 162, 354, 151, 343, 103, 295)(67, 259, 71, 263, 113, 305, 160, 352, 155, 347, 109, 301)(77, 269, 121, 313, 169, 361, 154, 346, 108, 300, 122, 314)(78, 270, 123, 315, 171, 363, 153, 345, 174, 366, 124, 316)(81, 273, 120, 312, 168, 360, 142, 334, 94, 286, 125, 317)(91, 283, 139, 331, 182, 374, 188, 380, 166, 358, 134, 326)(95, 287, 143, 335, 185, 377, 189, 381, 177, 369, 129, 321)(96, 288, 144, 336, 180, 372, 186, 378, 170, 362, 145, 337)(100, 292, 135, 327, 179, 371, 187, 379, 172, 364, 126, 318)(101, 293, 148, 340, 164, 356, 115, 307, 163, 355, 149, 341)(128, 320, 176, 368, 150, 342, 181, 373, 191, 383, 167, 359)(132, 324, 173, 365, 141, 333, 184, 376, 190, 382, 165, 357)(140, 332, 183, 375, 192, 384, 178, 370, 147, 339, 175, 367)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 406)(12, 389)(13, 410)(14, 411)(15, 414)(16, 391)(17, 392)(18, 418)(19, 420)(20, 415)(21, 394)(22, 395)(23, 427)(24, 428)(25, 431)(26, 397)(27, 398)(28, 434)(29, 435)(30, 399)(31, 404)(32, 439)(33, 442)(34, 402)(35, 446)(36, 403)(37, 449)(38, 451)(39, 447)(40, 454)(41, 455)(42, 458)(43, 407)(44, 408)(45, 461)(46, 462)(47, 409)(48, 465)(49, 468)(50, 412)(51, 413)(52, 474)(53, 475)(54, 478)(55, 416)(56, 479)(57, 480)(58, 417)(59, 484)(60, 481)(61, 485)(62, 419)(63, 423)(64, 482)(65, 421)(66, 492)(67, 422)(68, 473)(69, 495)(70, 424)(71, 425)(72, 498)(73, 499)(74, 426)(75, 501)(76, 504)(77, 429)(78, 430)(79, 509)(80, 510)(81, 432)(82, 512)(83, 513)(84, 433)(85, 516)(86, 514)(87, 518)(88, 519)(89, 452)(90, 436)(91, 437)(92, 524)(93, 525)(94, 438)(95, 440)(96, 441)(97, 444)(98, 448)(99, 531)(100, 443)(101, 445)(102, 530)(103, 534)(104, 522)(105, 528)(106, 523)(107, 537)(108, 450)(109, 526)(110, 540)(111, 453)(112, 542)(113, 545)(114, 456)(115, 457)(116, 549)(117, 459)(118, 550)(119, 551)(120, 460)(121, 554)(122, 552)(123, 556)(124, 557)(125, 463)(126, 464)(127, 559)(128, 466)(129, 467)(130, 470)(131, 562)(132, 469)(133, 561)(134, 471)(135, 472)(136, 564)(137, 565)(138, 488)(139, 490)(140, 476)(141, 477)(142, 493)(143, 558)(144, 489)(145, 548)(146, 486)(147, 483)(148, 560)(149, 566)(150, 487)(151, 567)(152, 563)(153, 491)(154, 569)(155, 568)(156, 494)(157, 570)(158, 496)(159, 571)(160, 572)(161, 497)(162, 573)(163, 574)(164, 529)(165, 500)(166, 502)(167, 503)(168, 506)(169, 576)(170, 505)(171, 575)(172, 507)(173, 508)(174, 527)(175, 511)(176, 532)(177, 517)(178, 515)(179, 536)(180, 520)(181, 521)(182, 533)(183, 535)(184, 539)(185, 538)(186, 541)(187, 543)(188, 544)(189, 546)(190, 547)(191, 555)(192, 553)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.1004
Graph:: simple bipartite
	v = 224 e = 384 f = 144
	degree seq :: [ 2^192, 12^32 ]

E9.1008 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|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, (Y1 * Y2^2)^4, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y2^-3 * Y1)^4 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 27, 219)(16, 208, 30, 222)(18, 210, 34, 226)(19, 211, 35, 227)(20, 212, 22, 214)(23, 215, 41, 233)(25, 217, 45, 237)(26, 218, 46, 238)(29, 221, 51, 243)(31, 223, 55, 247)(32, 224, 54, 246)(33, 225, 57, 249)(36, 228, 63, 255)(37, 229, 65, 257)(38, 230, 66, 258)(39, 231, 61, 253)(40, 232, 69, 261)(42, 234, 73, 265)(43, 235, 72, 264)(44, 236, 75, 267)(47, 239, 81, 273)(48, 240, 83, 275)(49, 241, 84, 276)(50, 242, 79, 271)(52, 244, 89, 281)(53, 245, 71, 263)(56, 248, 86, 278)(58, 250, 97, 289)(59, 251, 96, 288)(60, 252, 99, 291)(62, 254, 80, 272)(64, 256, 105, 297)(67, 259, 108, 300)(68, 260, 74, 266)(70, 262, 112, 304)(76, 268, 120, 312)(77, 269, 119, 311)(78, 270, 122, 314)(82, 274, 128, 320)(85, 277, 131, 323)(87, 279, 110, 302)(88, 280, 130, 322)(90, 282, 116, 308)(91, 283, 124, 316)(92, 284, 137, 329)(93, 285, 113, 305)(94, 286, 140, 332)(95, 287, 129, 321)(98, 290, 139, 331)(100, 292, 147, 339)(101, 293, 114, 306)(102, 294, 126, 318)(103, 295, 125, 317)(104, 296, 149, 341)(106, 298, 118, 310)(107, 299, 111, 303)(109, 301, 155, 347)(115, 307, 160, 352)(117, 309, 163, 355)(121, 313, 162, 354)(123, 315, 170, 362)(127, 319, 172, 364)(132, 324, 178, 370)(133, 325, 167, 359)(134, 326, 176, 368)(135, 327, 158, 350)(136, 328, 165, 357)(138, 330, 177, 369)(141, 333, 175, 367)(142, 334, 159, 351)(143, 335, 173, 365)(144, 336, 156, 348)(145, 337, 168, 360)(146, 338, 171, 363)(148, 340, 169, 361)(150, 342, 166, 358)(151, 343, 174, 366)(152, 344, 164, 356)(153, 345, 157, 349)(154, 346, 161, 353)(179, 371, 188, 380)(180, 372, 192, 384)(181, 373, 186, 378)(182, 374, 191, 383)(183, 375, 190, 382)(184, 376, 189, 381)(185, 377, 187, 379)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 413, 605, 436, 628, 415, 607, 400, 592)(393, 585, 403, 595, 420, 612, 448, 640, 421, 613, 404, 596)(395, 587, 406, 598, 424, 616, 454, 646, 426, 618, 407, 599)(397, 589, 410, 602, 431, 623, 466, 658, 432, 624, 411, 603)(401, 593, 416, 608, 440, 632, 478, 670, 442, 634, 417, 609)(405, 597, 422, 614, 451, 643, 493, 685, 452, 644, 423, 615)(408, 600, 427, 619, 458, 650, 501, 693, 460, 652, 428, 620)(412, 604, 433, 625, 469, 661, 516, 708, 470, 662, 434, 626)(414, 606, 437, 629, 474, 666, 520, 712, 475, 667, 438, 630)(418, 610, 443, 635, 482, 674, 529, 721, 484, 676, 444, 636)(419, 611, 445, 637, 485, 677, 532, 724, 486, 678, 446, 638)(425, 617, 455, 647, 497, 689, 543, 735, 498, 690, 456, 648)(429, 621, 461, 653, 505, 697, 552, 744, 507, 699, 462, 654)(430, 622, 463, 655, 508, 700, 555, 747, 509, 701, 464, 656)(435, 627, 471, 663, 449, 641, 490, 682, 517, 709, 472, 664)(439, 631, 476, 668, 522, 714, 564, 756, 523, 715, 477, 669)(441, 633, 479, 671, 525, 717, 566, 758, 526, 718, 480, 672)(447, 639, 487, 679, 531, 723, 569, 761, 534, 726, 488, 680)(450, 642, 483, 675, 530, 722, 568, 760, 537, 729, 491, 683)(453, 645, 494, 686, 467, 659, 513, 705, 540, 732, 495, 687)(457, 649, 499, 691, 545, 737, 571, 763, 546, 738, 500, 692)(459, 651, 502, 694, 548, 740, 573, 765, 549, 741, 503, 695)(465, 657, 510, 702, 554, 746, 576, 768, 557, 749, 511, 703)(468, 660, 506, 698, 553, 745, 575, 767, 560, 752, 514, 706)(473, 665, 518, 710, 563, 755, 539, 731, 544, 736, 519, 711)(481, 673, 527, 719, 567, 759, 538, 730, 492, 684, 528, 720)(489, 681, 535, 727, 556, 748, 524, 716, 565, 757, 536, 728)(496, 688, 541, 733, 570, 762, 562, 754, 521, 713, 542, 734)(504, 696, 550, 742, 574, 766, 561, 753, 515, 707, 551, 743)(512, 704, 558, 750, 533, 725, 547, 739, 572, 764, 559, 751)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 411)(16, 414)(17, 392)(18, 418)(19, 419)(20, 406)(21, 394)(22, 404)(23, 425)(24, 396)(25, 429)(26, 430)(27, 399)(28, 398)(29, 435)(30, 400)(31, 439)(32, 438)(33, 441)(34, 402)(35, 403)(36, 447)(37, 449)(38, 450)(39, 445)(40, 453)(41, 407)(42, 457)(43, 456)(44, 459)(45, 409)(46, 410)(47, 465)(48, 467)(49, 468)(50, 463)(51, 413)(52, 473)(53, 455)(54, 416)(55, 415)(56, 470)(57, 417)(58, 481)(59, 480)(60, 483)(61, 423)(62, 464)(63, 420)(64, 489)(65, 421)(66, 422)(67, 492)(68, 458)(69, 424)(70, 496)(71, 437)(72, 427)(73, 426)(74, 452)(75, 428)(76, 504)(77, 503)(78, 506)(79, 434)(80, 446)(81, 431)(82, 512)(83, 432)(84, 433)(85, 515)(86, 440)(87, 494)(88, 514)(89, 436)(90, 500)(91, 508)(92, 521)(93, 497)(94, 524)(95, 513)(96, 443)(97, 442)(98, 523)(99, 444)(100, 531)(101, 498)(102, 510)(103, 509)(104, 533)(105, 448)(106, 502)(107, 495)(108, 451)(109, 539)(110, 471)(111, 491)(112, 454)(113, 477)(114, 485)(115, 544)(116, 474)(117, 547)(118, 490)(119, 461)(120, 460)(121, 546)(122, 462)(123, 554)(124, 475)(125, 487)(126, 486)(127, 556)(128, 466)(129, 479)(130, 472)(131, 469)(132, 562)(133, 551)(134, 560)(135, 542)(136, 549)(137, 476)(138, 561)(139, 482)(140, 478)(141, 559)(142, 543)(143, 557)(144, 540)(145, 552)(146, 555)(147, 484)(148, 553)(149, 488)(150, 550)(151, 558)(152, 548)(153, 541)(154, 545)(155, 493)(156, 528)(157, 537)(158, 519)(159, 526)(160, 499)(161, 538)(162, 505)(163, 501)(164, 536)(165, 520)(166, 534)(167, 517)(168, 529)(169, 532)(170, 507)(171, 530)(172, 511)(173, 527)(174, 535)(175, 525)(176, 518)(177, 522)(178, 516)(179, 572)(180, 576)(181, 570)(182, 575)(183, 574)(184, 573)(185, 571)(186, 565)(187, 569)(188, 563)(189, 568)(190, 567)(191, 566)(192, 564)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.1009
Graph:: bipartite
	v = 128 e = 384 f = 240
	degree seq :: [ 4^96, 12^32 ]

E9.1009 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|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)^4, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y1^2 * Y3^-1 * Y1 * Y3^2 * Y1^-2, (Y3^2 * Y1^-1)^4, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 33, 225, 15, 207)(10, 202, 23, 215, 47, 239, 25, 217)(12, 204, 16, 208, 34, 226, 28, 220)(14, 206, 31, 223, 57, 249, 29, 221)(17, 209, 36, 228, 67, 259, 38, 230)(20, 212, 42, 234, 74, 266, 40, 232)(22, 214, 45, 237, 78, 270, 43, 235)(24, 216, 49, 241, 87, 279, 50, 242)(26, 218, 44, 236, 63, 255, 41, 233)(27, 219, 53, 245, 92, 284, 54, 246)(30, 222, 55, 247, 65, 257, 39, 231)(32, 224, 60, 252, 102, 294, 62, 254)(35, 227, 66, 258, 109, 301, 64, 256)(37, 229, 69, 261, 116, 308, 70, 262)(46, 238, 82, 274, 131, 323, 80, 272)(48, 240, 85, 277, 108, 300, 83, 275)(51, 243, 84, 276, 128, 320, 81, 273)(52, 244, 75, 267, 125, 317, 91, 283)(56, 248, 96, 288, 103, 295, 98, 290)(58, 250, 100, 292, 147, 339, 95, 287)(59, 251, 71, 263, 113, 305, 99, 291)(61, 253, 104, 296, 153, 345, 105, 297)(68, 260, 114, 306, 77, 269, 112, 304)(72, 264, 110, 302, 160, 352, 120, 312)(73, 265, 121, 313, 93, 285, 123, 315)(76, 268, 106, 298, 151, 343, 124, 316)(79, 271, 129, 321, 157, 349, 107, 299)(86, 278, 137, 329, 154, 346, 135, 327)(88, 280, 140, 332, 152, 344, 138, 330)(89, 281, 139, 331, 158, 350, 136, 328)(90, 282, 132, 324, 156, 348, 126, 318)(94, 286, 144, 336, 159, 351, 111, 303)(97, 289, 148, 340, 155, 347, 149, 341)(101, 293, 146, 338, 161, 353, 119, 311)(115, 307, 165, 357, 133, 325, 163, 355)(117, 309, 168, 360, 145, 337, 166, 358)(118, 310, 167, 359, 127, 319, 164, 356)(122, 314, 172, 364, 130, 322, 173, 365)(134, 326, 174, 366, 150, 342, 162, 354)(141, 333, 170, 362, 186, 378, 180, 372)(142, 334, 179, 371, 185, 377, 177, 369)(143, 335, 171, 363, 184, 376, 175, 367)(169, 361, 183, 375, 181, 373, 187, 379)(176, 368, 188, 380, 178, 370, 182, 374)(189, 381, 192, 384, 190, 382, 191, 383)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 416)(16, 390)(17, 421)(18, 423)(19, 424)(20, 392)(21, 427)(22, 393)(23, 395)(24, 398)(25, 435)(26, 436)(27, 430)(28, 439)(29, 440)(30, 397)(31, 434)(32, 445)(33, 447)(34, 448)(35, 400)(36, 402)(37, 404)(38, 455)(39, 456)(40, 457)(41, 403)(42, 454)(43, 461)(44, 405)(45, 464)(46, 406)(47, 467)(48, 407)(49, 409)(50, 473)(51, 474)(52, 470)(53, 412)(54, 478)(55, 479)(56, 481)(57, 483)(58, 414)(59, 415)(60, 417)(61, 419)(62, 490)(63, 491)(64, 492)(65, 418)(66, 489)(67, 496)(68, 420)(69, 422)(70, 502)(71, 503)(72, 499)(73, 506)(74, 508)(75, 425)(76, 426)(77, 511)(78, 512)(79, 428)(80, 514)(81, 429)(82, 438)(83, 493)(84, 431)(85, 519)(86, 432)(87, 522)(88, 433)(89, 526)(90, 525)(91, 527)(92, 505)(93, 437)(94, 530)(95, 529)(96, 441)(97, 442)(98, 524)(99, 534)(100, 533)(101, 443)(102, 480)(103, 444)(104, 446)(105, 539)(106, 540)(107, 536)(108, 542)(109, 543)(110, 449)(111, 450)(112, 462)(113, 451)(114, 547)(115, 452)(116, 550)(117, 453)(118, 554)(119, 553)(120, 555)(121, 458)(122, 459)(123, 552)(124, 558)(125, 557)(126, 460)(127, 463)(128, 546)(129, 551)(130, 560)(131, 549)(132, 465)(133, 466)(134, 468)(135, 562)(136, 469)(137, 475)(138, 541)(139, 471)(140, 564)(141, 472)(142, 485)(143, 484)(144, 476)(145, 477)(146, 561)(147, 559)(148, 482)(149, 537)(150, 535)(151, 486)(152, 487)(153, 521)(154, 488)(155, 567)(156, 566)(157, 568)(158, 494)(159, 518)(160, 523)(161, 495)(162, 497)(163, 569)(164, 498)(165, 504)(166, 531)(167, 500)(168, 571)(169, 501)(170, 510)(171, 509)(172, 507)(173, 515)(174, 528)(175, 513)(176, 516)(177, 517)(178, 573)(179, 520)(180, 574)(181, 532)(182, 538)(183, 545)(184, 544)(185, 575)(186, 548)(187, 576)(188, 556)(189, 563)(190, 565)(191, 570)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.1008
Graph:: simple bipartite
	v = 240 e = 384 f = 128
	degree seq :: [ 2^192, 8^48 ]

E9.1010 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^6, (T1^-1 * T2)^4, T2 * T1^-3 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1 * T2 * T1^-2)^2, (T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2 ]
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, 116, 92, 53)(34, 59, 100, 119, 102, 60)(36, 63, 106, 159, 108, 64)(44, 76, 125, 163, 117, 70)(47, 79, 131, 112, 134, 80)(50, 85, 140, 114, 142, 86)(51, 87, 120, 166, 145, 88)(55, 95, 151, 167, 123, 90)(58, 98, 155, 171, 126, 99)(62, 104, 122, 74, 121, 105)(65, 109, 128, 77, 127, 110)(67, 71, 118, 164, 160, 113)(78, 129, 161, 157, 103, 130)(81, 135, 107, 148, 162, 132)(84, 138, 94, 150, 165, 139)(91, 147, 180, 186, 172, 143)(96, 152, 181, 156, 173, 133)(97, 153, 179, 146, 169, 154)(101, 144, 175, 185, 177, 137)(136, 176, 149, 178, 187, 168)(141, 174, 158, 184, 188, 170)(182, 189, 183, 190, 192, 191)
	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, 143)(88, 144)(89, 146)(92, 148)(93, 149)(95, 134)(99, 128)(100, 139)(102, 156)(104, 135)(105, 158)(106, 155)(108, 147)(109, 153)(110, 150)(111, 145)(113, 151)(115, 161)(117, 162)(118, 165)(121, 167)(122, 168)(124, 169)(125, 170)(127, 172)(129, 173)(130, 174)(131, 175)(140, 171)(142, 178)(152, 182)(154, 183)(157, 179)(159, 181)(160, 184)(163, 185)(164, 186)(166, 187)(176, 189)(177, 190)(180, 191)(188, 192)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E9.1011
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 96 f = 48
	degree seq :: [ 6^32 ]

E9.1011 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, (T1^-1 * T2)^6, (T2 * T1^-1 * T2 * T1^-2 * T2 * T1)^2, (T2 * T1^-2 * T2 * T1^-1 * T2 * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 82, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 108, 70)(43, 71, 88, 72)(45, 74, 90, 75)(46, 76, 96, 60)(47, 77, 117, 78)(52, 84, 121, 85)(61, 97, 81, 98)(63, 100, 83, 101)(64, 102, 125, 87)(66, 104, 135, 99)(67, 105, 142, 106)(68, 107, 130, 94)(73, 112, 151, 113)(80, 91, 127, 119)(93, 129, 163, 126)(95, 131, 160, 123)(103, 139, 177, 140)(109, 146, 115, 147)(110, 148, 116, 149)(111, 150, 164, 141)(114, 143, 162, 153)(118, 124, 161, 155)(120, 122, 159, 157)(128, 165, 186, 166)(132, 170, 137, 171)(133, 172, 138, 173)(134, 174, 145, 167)(136, 168, 156, 176)(144, 169, 184, 178)(152, 175, 185, 181)(154, 179, 188, 180)(158, 182, 189, 183)(187, 190, 192, 191)
	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, 112)(78, 118)(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, 141)(106, 143)(107, 144)(108, 145)(113, 152)(117, 154)(119, 156)(121, 158)(125, 162)(127, 164)(129, 167)(130, 168)(131, 169)(135, 175)(139, 170)(140, 174)(142, 178)(146, 179)(147, 160)(148, 166)(149, 159)(150, 180)(151, 173)(153, 165)(155, 171)(157, 181)(161, 184)(163, 185)(172, 183)(176, 182)(177, 187)(186, 190)(188, 191)(189, 192)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E9.1010
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 32
	degree seq :: [ 4^48 ]

E9.1012 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1)^6, (T1 * T2^-2 * T1 * T2^-1 * T1 * T2)^2, (T1 * T2^-1 * T1 * T2^-2 * T1 * T2)^2 ]
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, 112, 73)(46, 75, 115, 76)(49, 80, 118, 81)(54, 86, 125, 87)(57, 91, 130, 92)(59, 94, 133, 95)(62, 99, 136, 100)(66, 104, 79, 105)(69, 108, 82, 109)(71, 110, 149, 111)(74, 113, 152, 114)(77, 116, 153, 117)(85, 122, 98, 123)(88, 126, 101, 127)(90, 128, 168, 129)(93, 131, 171, 132)(96, 134, 172, 135)(103, 139, 161, 140)(106, 143, 178, 144)(119, 150, 180, 156)(120, 151, 166, 157)(121, 158, 142, 159)(124, 162, 183, 163)(137, 169, 185, 175)(138, 170, 147, 176)(141, 177, 148, 174)(145, 173, 184, 165)(146, 164, 154, 179)(155, 160, 182, 167)(181, 188, 191, 187)(186, 190, 192, 189)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 233)(218, 236)(219, 238)(221, 241)(224, 246)(226, 249)(227, 251)(229, 254)(231, 256)(232, 258)(234, 261)(235, 263)(237, 266)(239, 269)(240, 271)(242, 274)(243, 244)(245, 277)(247, 280)(248, 282)(250, 285)(252, 288)(253, 290)(255, 293)(257, 295)(259, 298)(260, 279)(262, 284)(264, 303)(265, 281)(267, 289)(268, 308)(270, 286)(272, 291)(273, 311)(275, 312)(276, 313)(278, 316)(283, 321)(287, 326)(292, 329)(294, 330)(296, 333)(297, 334)(299, 337)(300, 338)(301, 339)(302, 340)(304, 342)(305, 343)(306, 332)(307, 336)(309, 346)(310, 347)(314, 352)(315, 353)(317, 356)(318, 357)(319, 358)(320, 359)(322, 361)(323, 362)(324, 351)(325, 355)(327, 365)(328, 366)(331, 354)(335, 350)(341, 364)(344, 373)(345, 360)(348, 368)(349, 367)(363, 378)(369, 379)(370, 377)(371, 380)(372, 375)(374, 381)(376, 382)(383, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E9.1016
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 32
	degree seq :: [ 2^96, 4^48 ]

E9.1013 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, T2^6, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1 * T2^2 * T1^2 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1 * 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, 106, 60, 30)(18, 39, 74, 129, 70, 36)(19, 40, 76, 139, 79, 41)(21, 43, 81, 147, 84, 44)(25, 51, 95, 144, 93, 49)(28, 56, 103, 157, 101, 54)(31, 50, 94, 145, 113, 61)(33, 65, 119, 164, 115, 62)(34, 66, 121, 170, 124, 67)(38, 73, 133, 96, 131, 71)(42, 72, 132, 98, 146, 80)(45, 85, 149, 112, 151, 86)(47, 88, 153, 171, 123, 89)(53, 99, 159, 107, 122, 97)(55, 102, 158, 111, 152, 87)(58, 108, 120, 169, 162, 105)(59, 109, 114, 90, 154, 110)(64, 118, 168, 134, 166, 116)(68, 117, 167, 136, 172, 125)(69, 126, 173, 148, 83, 127)(75, 137, 177, 140, 82, 135)(77, 141, 104, 161, 179, 138)(78, 142, 100, 128, 174, 143)(92, 155, 178, 191, 181, 156)(130, 175, 189, 186, 163, 176)(150, 183, 160, 184, 190, 182)(165, 187, 185, 192, 180, 188)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 225, 207)(202, 215, 239, 217)(204, 208, 226, 220)(206, 223, 250, 221)(209, 228, 261, 230)(212, 234, 269, 232)(214, 237, 274, 235)(216, 241, 284, 242)(218, 236, 275, 245)(219, 246, 292, 247)(222, 251, 267, 231)(224, 254, 306, 256)(227, 260, 314, 258)(229, 263, 322, 264)(233, 270, 312, 257)(238, 279, 342, 277)(240, 282, 307, 280)(243, 281, 316, 288)(244, 289, 317, 290)(248, 259, 315, 296)(249, 297, 313, 299)(252, 303, 310, 301)(253, 304, 311, 300)(255, 308, 357, 309)(262, 320, 293, 318)(265, 319, 276, 326)(266, 327, 278, 328)(268, 330, 273, 332)(271, 336, 294, 334)(272, 337, 295, 333)(283, 324, 368, 346)(285, 331, 369, 347)(286, 348, 365, 349)(287, 325, 360, 350)(291, 340, 373, 352)(298, 351, 375, 344)(302, 355, 370, 329)(305, 338, 364, 343)(321, 359, 380, 366)(323, 362, 354, 367)(335, 372, 381, 361)(339, 371, 379, 358)(341, 374, 345, 356)(353, 363, 382, 377)(376, 383, 378, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E9.1017
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 192 f = 96
	degree seq :: [ 4^48, 6^32 ]

E9.1014 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, T2 * T1^-3 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1 * T2 * T1^-2)^2, (T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2 ]
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, 143)(88, 144)(89, 146)(92, 148)(93, 149)(95, 134)(99, 128)(100, 139)(102, 156)(104, 135)(105, 158)(106, 155)(108, 147)(109, 153)(110, 150)(111, 145)(113, 151)(115, 161)(117, 162)(118, 165)(121, 167)(122, 168)(124, 169)(125, 170)(127, 172)(129, 173)(130, 174)(131, 175)(140, 171)(142, 178)(152, 182)(154, 183)(157, 179)(159, 181)(160, 184)(163, 185)(164, 186)(166, 187)(176, 189)(177, 190)(180, 191)(188, 192)(193, 194, 197, 203, 202, 196)(195, 199, 207, 221, 210, 200)(198, 205, 217, 238, 220, 206)(201, 211, 227, 253, 229, 212)(204, 215, 234, 265, 237, 216)(208, 223, 246, 285, 248, 224)(209, 225, 249, 274, 240, 218)(213, 230, 258, 303, 260, 231)(214, 232, 261, 307, 264, 233)(219, 241, 275, 316, 267, 235)(222, 244, 281, 308, 284, 245)(226, 251, 292, 311, 294, 252)(228, 255, 298, 351, 300, 256)(236, 268, 317, 355, 309, 262)(239, 271, 323, 304, 326, 272)(242, 277, 332, 306, 334, 278)(243, 279, 312, 358, 337, 280)(247, 287, 343, 359, 315, 282)(250, 290, 347, 363, 318, 291)(254, 296, 314, 266, 313, 297)(257, 301, 320, 269, 319, 302)(259, 263, 310, 356, 352, 305)(270, 321, 353, 349, 295, 322)(273, 327, 299, 340, 354, 324)(276, 330, 286, 342, 357, 331)(283, 339, 372, 378, 364, 335)(288, 344, 373, 348, 365, 325)(289, 345, 371, 338, 361, 346)(293, 336, 367, 377, 369, 329)(328, 368, 341, 370, 379, 360)(333, 366, 350, 376, 380, 362)(374, 381, 375, 382, 384, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E9.1015
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 48
	degree seq :: [ 2^96, 6^32 ]

E9.1015 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1)^6, (T1 * T2^-2 * T1 * T2^-1 * T1 * T2)^2, (T1 * T2^-1 * T1 * T2^-2 * T1 * T2)^2 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 45, 237, 27, 219)(20, 212, 34, 226, 58, 250, 35, 227)(23, 215, 39, 231, 65, 257, 40, 232)(25, 217, 42, 234, 70, 262, 43, 235)(28, 220, 47, 239, 78, 270, 48, 240)(30, 222, 50, 242, 83, 275, 51, 243)(31, 223, 52, 244, 84, 276, 53, 245)(33, 225, 55, 247, 89, 281, 56, 248)(36, 228, 60, 252, 97, 289, 61, 253)(38, 230, 63, 255, 102, 294, 64, 256)(41, 233, 67, 259, 107, 299, 68, 260)(44, 236, 72, 264, 112, 304, 73, 265)(46, 238, 75, 267, 115, 307, 76, 268)(49, 241, 80, 272, 118, 310, 81, 273)(54, 246, 86, 278, 125, 317, 87, 279)(57, 249, 91, 283, 130, 322, 92, 284)(59, 251, 94, 286, 133, 325, 95, 287)(62, 254, 99, 291, 136, 328, 100, 292)(66, 258, 104, 296, 79, 271, 105, 297)(69, 261, 108, 300, 82, 274, 109, 301)(71, 263, 110, 302, 149, 341, 111, 303)(74, 266, 113, 305, 152, 344, 114, 306)(77, 269, 116, 308, 153, 345, 117, 309)(85, 277, 122, 314, 98, 290, 123, 315)(88, 280, 126, 318, 101, 293, 127, 319)(90, 282, 128, 320, 168, 360, 129, 321)(93, 285, 131, 323, 171, 363, 132, 324)(96, 288, 134, 326, 172, 364, 135, 327)(103, 295, 139, 331, 161, 353, 140, 332)(106, 298, 143, 335, 178, 370, 144, 336)(119, 311, 150, 342, 180, 372, 156, 348)(120, 312, 151, 343, 166, 358, 157, 349)(121, 313, 158, 350, 142, 334, 159, 351)(124, 316, 162, 354, 183, 375, 163, 355)(137, 329, 169, 361, 185, 377, 175, 367)(138, 330, 170, 362, 147, 339, 176, 368)(141, 333, 177, 369, 148, 340, 174, 366)(145, 337, 173, 365, 184, 376, 165, 357)(146, 338, 164, 356, 154, 346, 179, 371)(155, 347, 160, 352, 182, 374, 167, 359)(181, 373, 188, 380, 191, 383, 187, 379)(186, 378, 190, 382, 192, 384, 189, 381)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 233)(25, 206)(26, 236)(27, 238)(28, 208)(29, 241)(30, 209)(31, 210)(32, 246)(33, 211)(34, 249)(35, 251)(36, 213)(37, 254)(38, 214)(39, 256)(40, 258)(41, 216)(42, 261)(43, 263)(44, 218)(45, 266)(46, 219)(47, 269)(48, 271)(49, 221)(50, 274)(51, 244)(52, 243)(53, 277)(54, 224)(55, 280)(56, 282)(57, 226)(58, 285)(59, 227)(60, 288)(61, 290)(62, 229)(63, 293)(64, 231)(65, 295)(66, 232)(67, 298)(68, 279)(69, 234)(70, 284)(71, 235)(72, 303)(73, 281)(74, 237)(75, 289)(76, 308)(77, 239)(78, 286)(79, 240)(80, 291)(81, 311)(82, 242)(83, 312)(84, 313)(85, 245)(86, 316)(87, 260)(88, 247)(89, 265)(90, 248)(91, 321)(92, 262)(93, 250)(94, 270)(95, 326)(96, 252)(97, 267)(98, 253)(99, 272)(100, 329)(101, 255)(102, 330)(103, 257)(104, 333)(105, 334)(106, 259)(107, 337)(108, 338)(109, 339)(110, 340)(111, 264)(112, 342)(113, 343)(114, 332)(115, 336)(116, 268)(117, 346)(118, 347)(119, 273)(120, 275)(121, 276)(122, 352)(123, 353)(124, 278)(125, 356)(126, 357)(127, 358)(128, 359)(129, 283)(130, 361)(131, 362)(132, 351)(133, 355)(134, 287)(135, 365)(136, 366)(137, 292)(138, 294)(139, 354)(140, 306)(141, 296)(142, 297)(143, 350)(144, 307)(145, 299)(146, 300)(147, 301)(148, 302)(149, 364)(150, 304)(151, 305)(152, 373)(153, 360)(154, 309)(155, 310)(156, 368)(157, 367)(158, 335)(159, 324)(160, 314)(161, 315)(162, 331)(163, 325)(164, 317)(165, 318)(166, 319)(167, 320)(168, 345)(169, 322)(170, 323)(171, 378)(172, 341)(173, 327)(174, 328)(175, 349)(176, 348)(177, 379)(178, 377)(179, 380)(180, 375)(181, 344)(182, 381)(183, 372)(184, 382)(185, 370)(186, 363)(187, 369)(188, 371)(189, 374)(190, 376)(191, 384)(192, 383)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.1014
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 128
	degree seq :: [ 8^48 ]

E9.1016 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, T2^6, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1 * T2^2 * T1^2 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1 * T2^-2 * T1^-1 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 37, 229, 20, 212, 8, 200)(4, 196, 12, 204, 27, 219, 46, 238, 22, 214, 9, 201)(6, 198, 15, 207, 32, 224, 63, 255, 35, 227, 16, 208)(11, 203, 26, 218, 52, 244, 91, 283, 48, 240, 23, 215)(13, 205, 29, 221, 57, 249, 106, 298, 60, 252, 30, 222)(18, 210, 39, 231, 74, 266, 129, 321, 70, 262, 36, 228)(19, 211, 40, 232, 76, 268, 139, 331, 79, 271, 41, 233)(21, 213, 43, 235, 81, 273, 147, 339, 84, 276, 44, 236)(25, 217, 51, 243, 95, 287, 144, 336, 93, 285, 49, 241)(28, 220, 56, 248, 103, 295, 157, 349, 101, 293, 54, 246)(31, 223, 50, 242, 94, 286, 145, 337, 113, 305, 61, 253)(33, 225, 65, 257, 119, 311, 164, 356, 115, 307, 62, 254)(34, 226, 66, 258, 121, 313, 170, 362, 124, 316, 67, 259)(38, 230, 73, 265, 133, 325, 96, 288, 131, 323, 71, 263)(42, 234, 72, 264, 132, 324, 98, 290, 146, 338, 80, 272)(45, 237, 85, 277, 149, 341, 112, 304, 151, 343, 86, 278)(47, 239, 88, 280, 153, 345, 171, 363, 123, 315, 89, 281)(53, 245, 99, 291, 159, 351, 107, 299, 122, 314, 97, 289)(55, 247, 102, 294, 158, 350, 111, 303, 152, 344, 87, 279)(58, 250, 108, 300, 120, 312, 169, 361, 162, 354, 105, 297)(59, 251, 109, 301, 114, 306, 90, 282, 154, 346, 110, 302)(64, 256, 118, 310, 168, 360, 134, 326, 166, 358, 116, 308)(68, 260, 117, 309, 167, 359, 136, 328, 172, 364, 125, 317)(69, 261, 126, 318, 173, 365, 148, 340, 83, 275, 127, 319)(75, 267, 137, 329, 177, 369, 140, 332, 82, 274, 135, 327)(77, 269, 141, 333, 104, 296, 161, 353, 179, 371, 138, 330)(78, 270, 142, 334, 100, 292, 128, 320, 174, 366, 143, 335)(92, 284, 155, 347, 178, 370, 191, 383, 181, 373, 156, 348)(130, 322, 175, 367, 189, 381, 186, 378, 163, 355, 176, 368)(150, 342, 183, 375, 160, 352, 184, 376, 190, 382, 182, 374)(165, 357, 187, 379, 185, 377, 192, 384, 180, 372, 188, 380)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 223)(15, 200)(16, 226)(17, 228)(18, 199)(19, 225)(20, 234)(21, 203)(22, 237)(23, 239)(24, 241)(25, 202)(26, 236)(27, 246)(28, 204)(29, 206)(30, 251)(31, 250)(32, 254)(33, 207)(34, 220)(35, 260)(36, 261)(37, 263)(38, 209)(39, 222)(40, 212)(41, 270)(42, 269)(43, 214)(44, 275)(45, 274)(46, 279)(47, 217)(48, 282)(49, 284)(50, 216)(51, 281)(52, 289)(53, 218)(54, 292)(55, 219)(56, 259)(57, 297)(58, 221)(59, 267)(60, 303)(61, 304)(62, 306)(63, 308)(64, 224)(65, 233)(66, 227)(67, 315)(68, 314)(69, 230)(70, 320)(71, 322)(72, 229)(73, 319)(74, 327)(75, 231)(76, 330)(77, 232)(78, 312)(79, 336)(80, 337)(81, 332)(82, 235)(83, 245)(84, 326)(85, 238)(86, 328)(87, 342)(88, 240)(89, 316)(90, 307)(91, 324)(92, 242)(93, 331)(94, 348)(95, 325)(96, 243)(97, 317)(98, 244)(99, 340)(100, 247)(101, 318)(102, 334)(103, 333)(104, 248)(105, 313)(106, 351)(107, 249)(108, 253)(109, 252)(110, 355)(111, 310)(112, 311)(113, 338)(114, 256)(115, 280)(116, 357)(117, 255)(118, 301)(119, 300)(120, 257)(121, 299)(122, 258)(123, 296)(124, 288)(125, 290)(126, 262)(127, 276)(128, 293)(129, 359)(130, 264)(131, 362)(132, 368)(133, 360)(134, 265)(135, 278)(136, 266)(137, 302)(138, 273)(139, 369)(140, 268)(141, 272)(142, 271)(143, 372)(144, 294)(145, 295)(146, 364)(147, 371)(148, 373)(149, 374)(150, 277)(151, 305)(152, 298)(153, 356)(154, 283)(155, 285)(156, 365)(157, 286)(158, 287)(159, 375)(160, 291)(161, 363)(162, 367)(163, 370)(164, 341)(165, 309)(166, 339)(167, 380)(168, 350)(169, 335)(170, 354)(171, 382)(172, 343)(173, 349)(174, 321)(175, 323)(176, 346)(177, 347)(178, 329)(179, 379)(180, 381)(181, 352)(182, 345)(183, 344)(184, 383)(185, 353)(186, 384)(187, 358)(188, 366)(189, 361)(190, 377)(191, 378)(192, 376)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.1012
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 192 f = 144
	degree seq :: [ 12^32 ]

E9.1017 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, T2 * T1^-3 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1 * T2 * T1^-2)^2, (T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 22, 214)(13, 205, 26, 218)(14, 206, 27, 219)(15, 207, 30, 222)(18, 210, 34, 226)(19, 211, 36, 228)(20, 212, 31, 223)(23, 215, 43, 235)(24, 216, 44, 236)(25, 217, 47, 239)(28, 220, 50, 242)(29, 221, 51, 243)(32, 224, 55, 247)(33, 225, 58, 250)(35, 227, 62, 254)(37, 229, 65, 257)(38, 230, 67, 259)(39, 231, 63, 255)(40, 232, 70, 262)(41, 233, 71, 263)(42, 234, 74, 266)(45, 237, 77, 269)(46, 238, 78, 270)(48, 240, 81, 273)(49, 241, 84, 276)(52, 244, 90, 282)(53, 245, 91, 283)(54, 246, 94, 286)(56, 248, 96, 288)(57, 249, 97, 289)(59, 251, 101, 293)(60, 252, 98, 290)(61, 253, 103, 295)(64, 256, 107, 299)(66, 258, 112, 304)(68, 260, 114, 306)(69, 261, 116, 308)(72, 264, 119, 311)(73, 265, 120, 312)(75, 267, 123, 315)(76, 268, 126, 318)(79, 271, 132, 324)(80, 272, 133, 325)(82, 274, 136, 328)(83, 275, 137, 329)(85, 277, 141, 333)(86, 278, 138, 330)(87, 279, 143, 335)(88, 280, 144, 336)(89, 281, 146, 338)(92, 284, 148, 340)(93, 285, 149, 341)(95, 287, 134, 326)(99, 291, 128, 320)(100, 292, 139, 331)(102, 294, 156, 348)(104, 296, 135, 327)(105, 297, 158, 350)(106, 298, 155, 347)(108, 300, 147, 339)(109, 301, 153, 345)(110, 302, 150, 342)(111, 303, 145, 337)(113, 305, 151, 343)(115, 307, 161, 353)(117, 309, 162, 354)(118, 310, 165, 357)(121, 313, 167, 359)(122, 314, 168, 360)(124, 316, 169, 361)(125, 317, 170, 362)(127, 319, 172, 364)(129, 321, 173, 365)(130, 322, 174, 366)(131, 323, 175, 367)(140, 332, 171, 363)(142, 334, 178, 370)(152, 344, 182, 374)(154, 346, 183, 375)(157, 349, 179, 371)(159, 351, 181, 373)(160, 352, 184, 376)(163, 355, 185, 377)(164, 356, 186, 378)(166, 358, 187, 379)(176, 368, 189, 381)(177, 369, 190, 382)(180, 372, 191, 383)(188, 380, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 202)(12, 215)(13, 217)(14, 198)(15, 221)(16, 223)(17, 225)(18, 200)(19, 227)(20, 201)(21, 230)(22, 232)(23, 234)(24, 204)(25, 238)(26, 209)(27, 241)(28, 206)(29, 210)(30, 244)(31, 246)(32, 208)(33, 249)(34, 251)(35, 253)(36, 255)(37, 212)(38, 258)(39, 213)(40, 261)(41, 214)(42, 265)(43, 219)(44, 268)(45, 216)(46, 220)(47, 271)(48, 218)(49, 275)(50, 277)(51, 279)(52, 281)(53, 222)(54, 285)(55, 287)(56, 224)(57, 274)(58, 290)(59, 292)(60, 226)(61, 229)(62, 296)(63, 298)(64, 228)(65, 301)(66, 303)(67, 263)(68, 231)(69, 307)(70, 236)(71, 310)(72, 233)(73, 237)(74, 313)(75, 235)(76, 317)(77, 319)(78, 321)(79, 323)(80, 239)(81, 327)(82, 240)(83, 316)(84, 330)(85, 332)(86, 242)(87, 312)(88, 243)(89, 308)(90, 247)(91, 339)(92, 245)(93, 248)(94, 342)(95, 343)(96, 344)(97, 345)(98, 347)(99, 250)(100, 311)(101, 336)(102, 252)(103, 322)(104, 314)(105, 254)(106, 351)(107, 340)(108, 256)(109, 320)(110, 257)(111, 260)(112, 326)(113, 259)(114, 334)(115, 264)(116, 284)(117, 262)(118, 356)(119, 294)(120, 358)(121, 297)(122, 266)(123, 282)(124, 267)(125, 355)(126, 291)(127, 302)(128, 269)(129, 353)(130, 270)(131, 304)(132, 273)(133, 288)(134, 272)(135, 299)(136, 368)(137, 293)(138, 286)(139, 276)(140, 306)(141, 366)(142, 278)(143, 283)(144, 367)(145, 280)(146, 361)(147, 372)(148, 354)(149, 370)(150, 357)(151, 359)(152, 373)(153, 371)(154, 289)(155, 363)(156, 365)(157, 295)(158, 376)(159, 300)(160, 305)(161, 349)(162, 324)(163, 309)(164, 352)(165, 331)(166, 337)(167, 315)(168, 328)(169, 346)(170, 333)(171, 318)(172, 335)(173, 325)(174, 350)(175, 377)(176, 341)(177, 329)(178, 379)(179, 338)(180, 378)(181, 348)(182, 381)(183, 382)(184, 380)(185, 369)(186, 364)(187, 360)(188, 362)(189, 375)(190, 384)(191, 374)(192, 383)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E9.1013
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 80
	degree seq :: [ 4^96 ]

E9.1018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|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^-1 * Y1 * Y2)^2, (Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2)^2 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 41, 233)(26, 218, 44, 236)(27, 219, 46, 238)(29, 221, 49, 241)(32, 224, 54, 246)(34, 226, 57, 249)(35, 227, 59, 251)(37, 229, 62, 254)(39, 231, 64, 256)(40, 232, 66, 258)(42, 234, 69, 261)(43, 235, 71, 263)(45, 237, 74, 266)(47, 239, 77, 269)(48, 240, 79, 271)(50, 242, 82, 274)(51, 243, 52, 244)(53, 245, 85, 277)(55, 247, 88, 280)(56, 248, 90, 282)(58, 250, 93, 285)(60, 252, 96, 288)(61, 253, 98, 290)(63, 255, 101, 293)(65, 257, 103, 295)(67, 259, 106, 298)(68, 260, 87, 279)(70, 262, 92, 284)(72, 264, 111, 303)(73, 265, 89, 281)(75, 267, 97, 289)(76, 268, 116, 308)(78, 270, 94, 286)(80, 272, 99, 291)(81, 273, 119, 311)(83, 275, 120, 312)(84, 276, 121, 313)(86, 278, 124, 316)(91, 283, 129, 321)(95, 287, 134, 326)(100, 292, 137, 329)(102, 294, 138, 330)(104, 296, 141, 333)(105, 297, 142, 334)(107, 299, 145, 337)(108, 300, 146, 338)(109, 301, 147, 339)(110, 302, 148, 340)(112, 304, 150, 342)(113, 305, 151, 343)(114, 306, 140, 332)(115, 307, 144, 336)(117, 309, 154, 346)(118, 310, 155, 347)(122, 314, 160, 352)(123, 315, 161, 353)(125, 317, 164, 356)(126, 318, 165, 357)(127, 319, 166, 358)(128, 320, 167, 359)(130, 322, 169, 361)(131, 323, 170, 362)(132, 324, 159, 351)(133, 325, 163, 355)(135, 327, 173, 365)(136, 328, 174, 366)(139, 331, 162, 354)(143, 335, 158, 350)(149, 341, 172, 364)(152, 344, 181, 373)(153, 345, 168, 360)(156, 348, 176, 368)(157, 349, 175, 367)(171, 363, 186, 378)(177, 369, 187, 379)(178, 370, 185, 377)(179, 371, 188, 380)(180, 372, 183, 375)(182, 374, 189, 381)(184, 376, 190, 382)(191, 383, 192, 384)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 429, 621, 411, 603)(404, 596, 418, 610, 442, 634, 419, 611)(407, 599, 423, 615, 449, 641, 424, 616)(409, 601, 426, 618, 454, 646, 427, 619)(412, 604, 431, 623, 462, 654, 432, 624)(414, 606, 434, 626, 467, 659, 435, 627)(415, 607, 436, 628, 468, 660, 437, 629)(417, 609, 439, 631, 473, 665, 440, 632)(420, 612, 444, 636, 481, 673, 445, 637)(422, 614, 447, 639, 486, 678, 448, 640)(425, 617, 451, 643, 491, 683, 452, 644)(428, 620, 456, 648, 496, 688, 457, 649)(430, 622, 459, 651, 499, 691, 460, 652)(433, 625, 464, 656, 502, 694, 465, 657)(438, 630, 470, 662, 509, 701, 471, 663)(441, 633, 475, 667, 514, 706, 476, 668)(443, 635, 478, 670, 517, 709, 479, 671)(446, 638, 483, 675, 520, 712, 484, 676)(450, 642, 488, 680, 463, 655, 489, 681)(453, 645, 492, 684, 466, 658, 493, 685)(455, 647, 494, 686, 533, 725, 495, 687)(458, 650, 497, 689, 536, 728, 498, 690)(461, 653, 500, 692, 537, 729, 501, 693)(469, 661, 506, 698, 482, 674, 507, 699)(472, 664, 510, 702, 485, 677, 511, 703)(474, 666, 512, 704, 552, 744, 513, 705)(477, 669, 515, 707, 555, 747, 516, 708)(480, 672, 518, 710, 556, 748, 519, 711)(487, 679, 523, 715, 545, 737, 524, 716)(490, 682, 527, 719, 562, 754, 528, 720)(503, 695, 534, 726, 564, 756, 540, 732)(504, 696, 535, 727, 550, 742, 541, 733)(505, 697, 542, 734, 526, 718, 543, 735)(508, 700, 546, 738, 567, 759, 547, 739)(521, 713, 553, 745, 569, 761, 559, 751)(522, 714, 554, 746, 531, 723, 560, 752)(525, 717, 561, 753, 532, 724, 558, 750)(529, 721, 557, 749, 568, 760, 549, 741)(530, 722, 548, 740, 538, 730, 563, 755)(539, 731, 544, 736, 566, 758, 551, 743)(565, 757, 572, 764, 575, 767, 571, 763)(570, 762, 574, 766, 576, 768, 573, 765)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 448)(40, 450)(41, 408)(42, 453)(43, 455)(44, 410)(45, 458)(46, 411)(47, 461)(48, 463)(49, 413)(50, 466)(51, 436)(52, 435)(53, 469)(54, 416)(55, 472)(56, 474)(57, 418)(58, 477)(59, 419)(60, 480)(61, 482)(62, 421)(63, 485)(64, 423)(65, 487)(66, 424)(67, 490)(68, 471)(69, 426)(70, 476)(71, 427)(72, 495)(73, 473)(74, 429)(75, 481)(76, 500)(77, 431)(78, 478)(79, 432)(80, 483)(81, 503)(82, 434)(83, 504)(84, 505)(85, 437)(86, 508)(87, 452)(88, 439)(89, 457)(90, 440)(91, 513)(92, 454)(93, 442)(94, 462)(95, 518)(96, 444)(97, 459)(98, 445)(99, 464)(100, 521)(101, 447)(102, 522)(103, 449)(104, 525)(105, 526)(106, 451)(107, 529)(108, 530)(109, 531)(110, 532)(111, 456)(112, 534)(113, 535)(114, 524)(115, 528)(116, 460)(117, 538)(118, 539)(119, 465)(120, 467)(121, 468)(122, 544)(123, 545)(124, 470)(125, 548)(126, 549)(127, 550)(128, 551)(129, 475)(130, 553)(131, 554)(132, 543)(133, 547)(134, 479)(135, 557)(136, 558)(137, 484)(138, 486)(139, 546)(140, 498)(141, 488)(142, 489)(143, 542)(144, 499)(145, 491)(146, 492)(147, 493)(148, 494)(149, 556)(150, 496)(151, 497)(152, 565)(153, 552)(154, 501)(155, 502)(156, 560)(157, 559)(158, 527)(159, 516)(160, 506)(161, 507)(162, 523)(163, 517)(164, 509)(165, 510)(166, 511)(167, 512)(168, 537)(169, 514)(170, 515)(171, 570)(172, 533)(173, 519)(174, 520)(175, 541)(176, 540)(177, 571)(178, 569)(179, 572)(180, 567)(181, 536)(182, 573)(183, 564)(184, 574)(185, 562)(186, 555)(187, 561)(188, 563)(189, 566)(190, 568)(191, 576)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.1021
Graph:: bipartite
	v = 144 e = 384 f = 224
	degree seq :: [ 4^96, 8^48 ]

E9.1019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^6, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 33, 225, 15, 207)(10, 202, 23, 215, 47, 239, 25, 217)(12, 204, 16, 208, 34, 226, 28, 220)(14, 206, 31, 223, 58, 250, 29, 221)(17, 209, 36, 228, 69, 261, 38, 230)(20, 212, 42, 234, 77, 269, 40, 232)(22, 214, 45, 237, 82, 274, 43, 235)(24, 216, 49, 241, 92, 284, 50, 242)(26, 218, 44, 236, 83, 275, 53, 245)(27, 219, 54, 246, 100, 292, 55, 247)(30, 222, 59, 251, 75, 267, 39, 231)(32, 224, 62, 254, 114, 306, 64, 256)(35, 227, 68, 260, 122, 314, 66, 258)(37, 229, 71, 263, 130, 322, 72, 264)(41, 233, 78, 270, 120, 312, 65, 257)(46, 238, 87, 279, 150, 342, 85, 277)(48, 240, 90, 282, 115, 307, 88, 280)(51, 243, 89, 281, 124, 316, 96, 288)(52, 244, 97, 289, 125, 317, 98, 290)(56, 248, 67, 259, 123, 315, 104, 296)(57, 249, 105, 297, 121, 313, 107, 299)(60, 252, 111, 303, 118, 310, 109, 301)(61, 253, 112, 304, 119, 311, 108, 300)(63, 255, 116, 308, 165, 357, 117, 309)(70, 262, 128, 320, 101, 293, 126, 318)(73, 265, 127, 319, 84, 276, 134, 326)(74, 266, 135, 327, 86, 278, 136, 328)(76, 268, 138, 330, 81, 273, 140, 332)(79, 271, 144, 336, 102, 294, 142, 334)(80, 272, 145, 337, 103, 295, 141, 333)(91, 283, 132, 324, 176, 368, 154, 346)(93, 285, 139, 331, 177, 369, 155, 347)(94, 286, 156, 348, 173, 365, 157, 349)(95, 287, 133, 325, 168, 360, 158, 350)(99, 291, 148, 340, 181, 373, 160, 352)(106, 298, 159, 351, 183, 375, 152, 344)(110, 302, 163, 355, 178, 370, 137, 329)(113, 305, 146, 338, 172, 364, 151, 343)(129, 321, 167, 359, 188, 380, 174, 366)(131, 323, 170, 362, 162, 354, 175, 367)(143, 335, 180, 372, 189, 381, 169, 361)(147, 339, 179, 371, 187, 379, 166, 358)(149, 341, 182, 374, 153, 345, 164, 356)(161, 353, 171, 363, 190, 382, 185, 377)(184, 376, 191, 383, 186, 378, 192, 384)(385, 577, 387, 579, 394, 586, 408, 600, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 421, 613, 404, 596, 392, 584)(388, 580, 396, 588, 411, 603, 430, 622, 406, 598, 393, 585)(390, 582, 399, 591, 416, 608, 447, 639, 419, 611, 400, 592)(395, 587, 410, 602, 436, 628, 475, 667, 432, 624, 407, 599)(397, 589, 413, 605, 441, 633, 490, 682, 444, 636, 414, 606)(402, 594, 423, 615, 458, 650, 513, 705, 454, 646, 420, 612)(403, 595, 424, 616, 460, 652, 523, 715, 463, 655, 425, 617)(405, 597, 427, 619, 465, 657, 531, 723, 468, 660, 428, 620)(409, 601, 435, 627, 479, 671, 528, 720, 477, 669, 433, 625)(412, 604, 440, 632, 487, 679, 541, 733, 485, 677, 438, 630)(415, 607, 434, 626, 478, 670, 529, 721, 497, 689, 445, 637)(417, 609, 449, 641, 503, 695, 548, 740, 499, 691, 446, 638)(418, 610, 450, 642, 505, 697, 554, 746, 508, 700, 451, 643)(422, 614, 457, 649, 517, 709, 480, 672, 515, 707, 455, 647)(426, 618, 456, 648, 516, 708, 482, 674, 530, 722, 464, 656)(429, 621, 469, 661, 533, 725, 496, 688, 535, 727, 470, 662)(431, 623, 472, 664, 537, 729, 555, 747, 507, 699, 473, 665)(437, 629, 483, 675, 543, 735, 491, 683, 506, 698, 481, 673)(439, 631, 486, 678, 542, 734, 495, 687, 536, 728, 471, 663)(442, 634, 492, 684, 504, 696, 553, 745, 546, 738, 489, 681)(443, 635, 493, 685, 498, 690, 474, 666, 538, 730, 494, 686)(448, 640, 502, 694, 552, 744, 518, 710, 550, 742, 500, 692)(452, 644, 501, 693, 551, 743, 520, 712, 556, 748, 509, 701)(453, 645, 510, 702, 557, 749, 532, 724, 467, 659, 511, 703)(459, 651, 521, 713, 561, 753, 524, 716, 466, 658, 519, 711)(461, 653, 525, 717, 488, 680, 545, 737, 563, 755, 522, 714)(462, 654, 526, 718, 484, 676, 512, 704, 558, 750, 527, 719)(476, 668, 539, 731, 562, 754, 575, 767, 565, 757, 540, 732)(514, 706, 559, 751, 573, 765, 570, 762, 547, 739, 560, 752)(534, 726, 567, 759, 544, 736, 568, 760, 574, 766, 566, 758)(549, 741, 571, 763, 569, 761, 576, 768, 564, 756, 572, 764)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 416)(16, 390)(17, 421)(18, 423)(19, 424)(20, 392)(21, 427)(22, 393)(23, 395)(24, 398)(25, 435)(26, 436)(27, 430)(28, 440)(29, 441)(30, 397)(31, 434)(32, 447)(33, 449)(34, 450)(35, 400)(36, 402)(37, 404)(38, 457)(39, 458)(40, 460)(41, 403)(42, 456)(43, 465)(44, 405)(45, 469)(46, 406)(47, 472)(48, 407)(49, 409)(50, 478)(51, 479)(52, 475)(53, 483)(54, 412)(55, 486)(56, 487)(57, 490)(58, 492)(59, 493)(60, 414)(61, 415)(62, 417)(63, 419)(64, 502)(65, 503)(66, 505)(67, 418)(68, 501)(69, 510)(70, 420)(71, 422)(72, 516)(73, 517)(74, 513)(75, 521)(76, 523)(77, 525)(78, 526)(79, 425)(80, 426)(81, 531)(82, 519)(83, 511)(84, 428)(85, 533)(86, 429)(87, 439)(88, 537)(89, 431)(90, 538)(91, 432)(92, 539)(93, 433)(94, 529)(95, 528)(96, 515)(97, 437)(98, 530)(99, 543)(100, 512)(101, 438)(102, 542)(103, 541)(104, 545)(105, 442)(106, 444)(107, 506)(108, 504)(109, 498)(110, 443)(111, 536)(112, 535)(113, 445)(114, 474)(115, 446)(116, 448)(117, 551)(118, 552)(119, 548)(120, 553)(121, 554)(122, 481)(123, 473)(124, 451)(125, 452)(126, 557)(127, 453)(128, 558)(129, 454)(130, 559)(131, 455)(132, 482)(133, 480)(134, 550)(135, 459)(136, 556)(137, 561)(138, 461)(139, 463)(140, 466)(141, 488)(142, 484)(143, 462)(144, 477)(145, 497)(146, 464)(147, 468)(148, 467)(149, 496)(150, 567)(151, 470)(152, 471)(153, 555)(154, 494)(155, 562)(156, 476)(157, 485)(158, 495)(159, 491)(160, 568)(161, 563)(162, 489)(163, 560)(164, 499)(165, 571)(166, 500)(167, 520)(168, 518)(169, 546)(170, 508)(171, 507)(172, 509)(173, 532)(174, 527)(175, 573)(176, 514)(177, 524)(178, 575)(179, 522)(180, 572)(181, 540)(182, 534)(183, 544)(184, 574)(185, 576)(186, 547)(187, 569)(188, 549)(189, 570)(190, 566)(191, 565)(192, 564)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.1020
Graph:: bipartite
	v = 80 e = 384 f = 288
	degree seq :: [ 8^48, 12^32 ]

E9.1020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^4, (Y3 * Y2)^4, (Y3^-1 * Y1^-1)^6, (Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^3 * Y2 * Y3^-2 * Y2 * Y3^-2 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 408, 600)(398, 590, 412, 604)(399, 591, 411, 603)(400, 592, 414, 606)(402, 594, 418, 610)(403, 595, 419, 611)(404, 596, 406, 598)(407, 599, 425, 617)(409, 601, 429, 621)(410, 602, 430, 622)(413, 605, 435, 627)(415, 607, 439, 631)(416, 608, 438, 630)(417, 609, 441, 633)(420, 612, 447, 639)(421, 613, 449, 641)(422, 614, 450, 642)(423, 615, 445, 637)(424, 616, 453, 645)(426, 618, 457, 649)(427, 619, 456, 648)(428, 620, 459, 651)(431, 623, 465, 657)(432, 624, 467, 659)(433, 625, 468, 660)(434, 626, 463, 655)(436, 628, 473, 665)(437, 629, 474, 666)(440, 632, 479, 671)(442, 634, 483, 675)(443, 635, 482, 674)(444, 636, 485, 677)(446, 638, 488, 680)(448, 640, 492, 684)(451, 643, 496, 688)(452, 644, 498, 690)(454, 646, 501, 693)(455, 647, 502, 694)(458, 650, 507, 699)(460, 652, 511, 703)(461, 653, 510, 702)(462, 654, 513, 705)(464, 656, 516, 708)(466, 658, 520, 712)(469, 661, 524, 716)(470, 662, 526, 718)(471, 663, 522, 714)(472, 664, 506, 698)(475, 667, 523, 715)(476, 668, 504, 696)(477, 669, 531, 723)(478, 670, 500, 692)(480, 672, 512, 704)(481, 673, 517, 709)(484, 676, 508, 700)(486, 678, 525, 717)(487, 679, 515, 707)(489, 681, 509, 701)(490, 682, 521, 713)(491, 683, 542, 734)(493, 685, 518, 710)(494, 686, 499, 691)(495, 687, 503, 695)(497, 689, 514, 706)(505, 697, 549, 741)(519, 711, 560, 752)(527, 719, 558, 750)(528, 720, 551, 743)(529, 721, 564, 756)(530, 722, 552, 744)(532, 724, 559, 751)(533, 725, 546, 738)(534, 726, 548, 740)(535, 727, 561, 753)(536, 728, 565, 757)(537, 729, 556, 748)(538, 730, 555, 747)(539, 731, 563, 755)(540, 732, 545, 737)(541, 733, 550, 742)(543, 735, 553, 745)(544, 736, 568, 760)(547, 739, 570, 762)(554, 746, 571, 763)(557, 749, 569, 761)(562, 754, 574, 766)(566, 758, 573, 765)(567, 759, 572, 764)(575, 767, 576, 768)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 406)(12, 409)(13, 410)(14, 390)(15, 413)(16, 391)(17, 416)(18, 394)(19, 420)(20, 393)(21, 422)(22, 424)(23, 395)(24, 427)(25, 398)(26, 431)(27, 397)(28, 433)(29, 436)(30, 437)(31, 400)(32, 440)(33, 401)(34, 443)(35, 445)(36, 448)(37, 404)(38, 451)(39, 405)(40, 454)(41, 455)(42, 407)(43, 458)(44, 408)(45, 461)(46, 463)(47, 466)(48, 411)(49, 469)(50, 412)(51, 471)(52, 415)(53, 475)(54, 414)(55, 477)(56, 480)(57, 481)(58, 417)(59, 484)(60, 418)(61, 487)(62, 419)(63, 490)(64, 421)(65, 493)(66, 485)(67, 497)(68, 423)(69, 499)(70, 426)(71, 503)(72, 425)(73, 505)(74, 508)(75, 509)(76, 428)(77, 512)(78, 429)(79, 515)(80, 430)(81, 518)(82, 432)(83, 521)(84, 513)(85, 525)(86, 434)(87, 527)(88, 435)(89, 528)(90, 500)(91, 530)(92, 438)(93, 532)(94, 439)(95, 534)(96, 442)(97, 536)(98, 441)(99, 538)(100, 539)(101, 540)(102, 444)(103, 541)(104, 511)(105, 446)(106, 535)(107, 447)(108, 529)(109, 516)(110, 449)(111, 450)(112, 502)(113, 452)(114, 533)(115, 545)(116, 453)(117, 546)(118, 472)(119, 548)(120, 456)(121, 550)(122, 457)(123, 552)(124, 460)(125, 554)(126, 459)(127, 556)(128, 557)(129, 558)(130, 462)(131, 559)(132, 483)(133, 464)(134, 553)(135, 465)(136, 547)(137, 488)(138, 467)(139, 468)(140, 474)(141, 470)(142, 551)(143, 496)(144, 563)(145, 473)(146, 476)(147, 564)(148, 498)(149, 478)(150, 491)(151, 479)(152, 566)(153, 482)(154, 494)(155, 486)(156, 567)(157, 489)(158, 568)(159, 492)(160, 495)(161, 524)(162, 569)(163, 501)(164, 504)(165, 570)(166, 526)(167, 506)(168, 519)(169, 507)(170, 572)(171, 510)(172, 522)(173, 514)(174, 573)(175, 517)(176, 574)(177, 520)(178, 523)(179, 543)(180, 542)(181, 531)(182, 537)(183, 544)(184, 575)(185, 561)(186, 560)(187, 549)(188, 555)(189, 562)(190, 576)(191, 565)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.1019
Graph:: simple bipartite
	v = 288 e = 384 f = 80
	degree seq :: [ 2^192, 4^96 ]

E9.1021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|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)^4, Y3 * Y1^2 * Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^-3, (Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2)^2, (Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 29, 221, 18, 210, 8, 200)(6, 198, 13, 205, 25, 217, 46, 238, 28, 220, 14, 206)(9, 201, 19, 211, 35, 227, 61, 253, 37, 229, 20, 212)(12, 204, 23, 215, 42, 234, 73, 265, 45, 237, 24, 216)(16, 208, 31, 223, 54, 246, 93, 285, 56, 248, 32, 224)(17, 209, 33, 225, 57, 249, 82, 274, 48, 240, 26, 218)(21, 213, 38, 230, 66, 258, 111, 303, 68, 260, 39, 231)(22, 214, 40, 232, 69, 261, 115, 307, 72, 264, 41, 233)(27, 219, 49, 241, 83, 275, 124, 316, 75, 267, 43, 235)(30, 222, 52, 244, 89, 281, 116, 308, 92, 284, 53, 245)(34, 226, 59, 251, 100, 292, 119, 311, 102, 294, 60, 252)(36, 228, 63, 255, 106, 298, 159, 351, 108, 300, 64, 256)(44, 236, 76, 268, 125, 317, 163, 355, 117, 309, 70, 262)(47, 239, 79, 271, 131, 323, 112, 304, 134, 326, 80, 272)(50, 242, 85, 277, 140, 332, 114, 306, 142, 334, 86, 278)(51, 243, 87, 279, 120, 312, 166, 358, 145, 337, 88, 280)(55, 247, 95, 287, 151, 343, 167, 359, 123, 315, 90, 282)(58, 250, 98, 290, 155, 347, 171, 363, 126, 318, 99, 291)(62, 254, 104, 296, 122, 314, 74, 266, 121, 313, 105, 297)(65, 257, 109, 301, 128, 320, 77, 269, 127, 319, 110, 302)(67, 259, 71, 263, 118, 310, 164, 356, 160, 352, 113, 305)(78, 270, 129, 321, 161, 353, 157, 349, 103, 295, 130, 322)(81, 273, 135, 327, 107, 299, 148, 340, 162, 354, 132, 324)(84, 276, 138, 330, 94, 286, 150, 342, 165, 357, 139, 331)(91, 283, 147, 339, 180, 372, 186, 378, 172, 364, 143, 335)(96, 288, 152, 344, 181, 373, 156, 348, 173, 365, 133, 325)(97, 289, 153, 345, 179, 371, 146, 338, 169, 361, 154, 346)(101, 293, 144, 336, 175, 367, 185, 377, 177, 369, 137, 329)(136, 328, 176, 368, 149, 341, 178, 370, 187, 379, 168, 360)(141, 333, 174, 366, 158, 350, 184, 376, 188, 380, 170, 362)(182, 374, 189, 381, 183, 375, 190, 382, 192, 384, 191, 383)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 406)(12, 389)(13, 410)(14, 411)(15, 414)(16, 391)(17, 392)(18, 418)(19, 420)(20, 415)(21, 394)(22, 395)(23, 427)(24, 428)(25, 431)(26, 397)(27, 398)(28, 434)(29, 435)(30, 399)(31, 404)(32, 439)(33, 442)(34, 402)(35, 446)(36, 403)(37, 449)(38, 451)(39, 447)(40, 454)(41, 455)(42, 458)(43, 407)(44, 408)(45, 461)(46, 462)(47, 409)(48, 465)(49, 468)(50, 412)(51, 413)(52, 474)(53, 475)(54, 478)(55, 416)(56, 480)(57, 481)(58, 417)(59, 485)(60, 482)(61, 487)(62, 419)(63, 423)(64, 491)(65, 421)(66, 496)(67, 422)(68, 498)(69, 500)(70, 424)(71, 425)(72, 503)(73, 504)(74, 426)(75, 507)(76, 510)(77, 429)(78, 430)(79, 516)(80, 517)(81, 432)(82, 520)(83, 521)(84, 433)(85, 525)(86, 522)(87, 527)(88, 528)(89, 530)(90, 436)(91, 437)(92, 532)(93, 533)(94, 438)(95, 518)(96, 440)(97, 441)(98, 444)(99, 512)(100, 523)(101, 443)(102, 540)(103, 445)(104, 519)(105, 542)(106, 539)(107, 448)(108, 531)(109, 537)(110, 534)(111, 529)(112, 450)(113, 535)(114, 452)(115, 545)(116, 453)(117, 546)(118, 549)(119, 456)(120, 457)(121, 551)(122, 552)(123, 459)(124, 553)(125, 554)(126, 460)(127, 556)(128, 483)(129, 557)(130, 558)(131, 559)(132, 463)(133, 464)(134, 479)(135, 488)(136, 466)(137, 467)(138, 470)(139, 484)(140, 555)(141, 469)(142, 562)(143, 471)(144, 472)(145, 495)(146, 473)(147, 492)(148, 476)(149, 477)(150, 494)(151, 497)(152, 566)(153, 493)(154, 567)(155, 490)(156, 486)(157, 563)(158, 489)(159, 565)(160, 568)(161, 499)(162, 501)(163, 569)(164, 570)(165, 502)(166, 571)(167, 505)(168, 506)(169, 508)(170, 509)(171, 524)(172, 511)(173, 513)(174, 514)(175, 515)(176, 573)(177, 574)(178, 526)(179, 541)(180, 575)(181, 543)(182, 536)(183, 538)(184, 544)(185, 547)(186, 548)(187, 550)(188, 576)(189, 560)(190, 561)(191, 564)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.1018
Graph:: simple bipartite
	v = 224 e = 384 f = 144
	degree seq :: [ 2^192, 12^32 ]

E9.1022 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|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)^4, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^-2, Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1)^2 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 27, 219)(16, 208, 30, 222)(18, 210, 34, 226)(19, 211, 35, 227)(20, 212, 22, 214)(23, 215, 41, 233)(25, 217, 45, 237)(26, 218, 46, 238)(29, 221, 51, 243)(31, 223, 55, 247)(32, 224, 54, 246)(33, 225, 57, 249)(36, 228, 63, 255)(37, 229, 65, 257)(38, 230, 66, 258)(39, 231, 61, 253)(40, 232, 69, 261)(42, 234, 73, 265)(43, 235, 72, 264)(44, 236, 75, 267)(47, 239, 81, 273)(48, 240, 83, 275)(49, 241, 84, 276)(50, 242, 79, 271)(52, 244, 89, 281)(53, 245, 90, 282)(56, 248, 95, 287)(58, 250, 99, 291)(59, 251, 98, 290)(60, 252, 101, 293)(62, 254, 104, 296)(64, 256, 108, 300)(67, 259, 112, 304)(68, 260, 114, 306)(70, 262, 117, 309)(71, 263, 118, 310)(74, 266, 123, 315)(76, 268, 127, 319)(77, 269, 126, 318)(78, 270, 129, 321)(80, 272, 132, 324)(82, 274, 136, 328)(85, 277, 140, 332)(86, 278, 142, 334)(87, 279, 138, 330)(88, 280, 122, 314)(91, 283, 139, 331)(92, 284, 120, 312)(93, 285, 147, 339)(94, 286, 116, 308)(96, 288, 128, 320)(97, 289, 133, 325)(100, 292, 124, 316)(102, 294, 141, 333)(103, 295, 131, 323)(105, 297, 125, 317)(106, 298, 137, 329)(107, 299, 158, 350)(109, 301, 134, 326)(110, 302, 115, 307)(111, 303, 119, 311)(113, 305, 130, 322)(121, 313, 165, 357)(135, 327, 176, 368)(143, 335, 174, 366)(144, 336, 167, 359)(145, 337, 180, 372)(146, 338, 168, 360)(148, 340, 175, 367)(149, 341, 162, 354)(150, 342, 164, 356)(151, 343, 177, 369)(152, 344, 181, 373)(153, 345, 172, 364)(154, 346, 171, 363)(155, 347, 179, 371)(156, 348, 161, 353)(157, 349, 166, 358)(159, 351, 169, 361)(160, 352, 184, 376)(163, 355, 186, 378)(170, 362, 187, 379)(173, 365, 185, 377)(178, 370, 190, 382)(182, 374, 189, 381)(183, 375, 188, 380)(191, 383, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 413, 605, 436, 628, 415, 607, 400, 592)(393, 585, 403, 595, 420, 612, 448, 640, 421, 613, 404, 596)(395, 587, 406, 598, 424, 616, 454, 646, 426, 618, 407, 599)(397, 589, 410, 602, 431, 623, 466, 658, 432, 624, 411, 603)(401, 593, 416, 608, 440, 632, 480, 672, 442, 634, 417, 609)(405, 597, 422, 614, 451, 643, 497, 689, 452, 644, 423, 615)(408, 600, 427, 619, 458, 650, 508, 700, 460, 652, 428, 620)(412, 604, 433, 625, 469, 661, 525, 717, 470, 662, 434, 626)(414, 606, 437, 629, 475, 667, 530, 722, 476, 668, 438, 630)(418, 610, 443, 635, 484, 676, 539, 731, 486, 678, 444, 636)(419, 611, 445, 637, 487, 679, 541, 733, 489, 681, 446, 638)(425, 617, 455, 647, 503, 695, 548, 740, 504, 696, 456, 648)(429, 621, 461, 653, 512, 704, 557, 749, 514, 706, 462, 654)(430, 622, 463, 655, 515, 707, 559, 751, 517, 709, 464, 656)(435, 627, 471, 663, 527, 719, 496, 688, 502, 694, 472, 664)(439, 631, 477, 669, 532, 724, 498, 690, 533, 725, 478, 670)(441, 633, 481, 673, 536, 728, 566, 758, 537, 729, 482, 674)(447, 639, 490, 682, 535, 727, 479, 671, 534, 726, 491, 683)(449, 641, 493, 685, 516, 708, 483, 675, 538, 730, 494, 686)(450, 642, 485, 677, 540, 732, 567, 759, 544, 736, 495, 687)(453, 645, 499, 691, 545, 737, 524, 716, 474, 666, 500, 692)(457, 649, 505, 697, 550, 742, 526, 718, 551, 743, 506, 698)(459, 651, 509, 701, 554, 746, 572, 764, 555, 747, 510, 702)(465, 657, 518, 710, 553, 745, 507, 699, 552, 744, 519, 711)(467, 659, 521, 713, 488, 680, 511, 703, 556, 748, 522, 714)(468, 660, 513, 705, 558, 750, 573, 765, 562, 754, 523, 715)(473, 665, 528, 720, 563, 755, 543, 735, 492, 684, 529, 721)(501, 693, 546, 738, 569, 761, 561, 753, 520, 712, 547, 739)(531, 723, 564, 756, 542, 734, 568, 760, 575, 767, 565, 757)(549, 741, 570, 762, 560, 752, 574, 766, 576, 768, 571, 763)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 411)(16, 414)(17, 392)(18, 418)(19, 419)(20, 406)(21, 394)(22, 404)(23, 425)(24, 396)(25, 429)(26, 430)(27, 399)(28, 398)(29, 435)(30, 400)(31, 439)(32, 438)(33, 441)(34, 402)(35, 403)(36, 447)(37, 449)(38, 450)(39, 445)(40, 453)(41, 407)(42, 457)(43, 456)(44, 459)(45, 409)(46, 410)(47, 465)(48, 467)(49, 468)(50, 463)(51, 413)(52, 473)(53, 474)(54, 416)(55, 415)(56, 479)(57, 417)(58, 483)(59, 482)(60, 485)(61, 423)(62, 488)(63, 420)(64, 492)(65, 421)(66, 422)(67, 496)(68, 498)(69, 424)(70, 501)(71, 502)(72, 427)(73, 426)(74, 507)(75, 428)(76, 511)(77, 510)(78, 513)(79, 434)(80, 516)(81, 431)(82, 520)(83, 432)(84, 433)(85, 524)(86, 526)(87, 522)(88, 506)(89, 436)(90, 437)(91, 523)(92, 504)(93, 531)(94, 500)(95, 440)(96, 512)(97, 517)(98, 443)(99, 442)(100, 508)(101, 444)(102, 525)(103, 515)(104, 446)(105, 509)(106, 521)(107, 542)(108, 448)(109, 518)(110, 499)(111, 503)(112, 451)(113, 514)(114, 452)(115, 494)(116, 478)(117, 454)(118, 455)(119, 495)(120, 476)(121, 549)(122, 472)(123, 458)(124, 484)(125, 489)(126, 461)(127, 460)(128, 480)(129, 462)(130, 497)(131, 487)(132, 464)(133, 481)(134, 493)(135, 560)(136, 466)(137, 490)(138, 471)(139, 475)(140, 469)(141, 486)(142, 470)(143, 558)(144, 551)(145, 564)(146, 552)(147, 477)(148, 559)(149, 546)(150, 548)(151, 561)(152, 565)(153, 556)(154, 555)(155, 563)(156, 545)(157, 550)(158, 491)(159, 553)(160, 568)(161, 540)(162, 533)(163, 570)(164, 534)(165, 505)(166, 541)(167, 528)(168, 530)(169, 543)(170, 571)(171, 538)(172, 537)(173, 569)(174, 527)(175, 532)(176, 519)(177, 535)(178, 574)(179, 539)(180, 529)(181, 536)(182, 573)(183, 572)(184, 544)(185, 557)(186, 547)(187, 554)(188, 567)(189, 566)(190, 562)(191, 576)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.1023
Graph:: bipartite
	v = 128 e = 384 f = 240
	degree seq :: [ 4^96, 12^32 ]

E9.1023 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = ((SL(2,3) : C2) : C2) : C2 (small group id <192, 990>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^6, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^2 * Y1^-2, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^3 * Y1 * Y3^-1 * Y1 * Y3^-3 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 33, 225, 15, 207)(10, 202, 23, 215, 47, 239, 25, 217)(12, 204, 16, 208, 34, 226, 28, 220)(14, 206, 31, 223, 58, 250, 29, 221)(17, 209, 36, 228, 69, 261, 38, 230)(20, 212, 42, 234, 77, 269, 40, 232)(22, 214, 45, 237, 82, 274, 43, 235)(24, 216, 49, 241, 92, 284, 50, 242)(26, 218, 44, 236, 83, 275, 53, 245)(27, 219, 54, 246, 100, 292, 55, 247)(30, 222, 59, 251, 75, 267, 39, 231)(32, 224, 62, 254, 114, 306, 64, 256)(35, 227, 68, 260, 122, 314, 66, 258)(37, 229, 71, 263, 130, 322, 72, 264)(41, 233, 78, 270, 120, 312, 65, 257)(46, 238, 87, 279, 150, 342, 85, 277)(48, 240, 90, 282, 115, 307, 88, 280)(51, 243, 89, 281, 124, 316, 96, 288)(52, 244, 97, 289, 125, 317, 98, 290)(56, 248, 67, 259, 123, 315, 104, 296)(57, 249, 105, 297, 121, 313, 107, 299)(60, 252, 111, 303, 118, 310, 109, 301)(61, 253, 112, 304, 119, 311, 108, 300)(63, 255, 116, 308, 165, 357, 117, 309)(70, 262, 128, 320, 101, 293, 126, 318)(73, 265, 127, 319, 84, 276, 134, 326)(74, 266, 135, 327, 86, 278, 136, 328)(76, 268, 138, 330, 81, 273, 140, 332)(79, 271, 144, 336, 102, 294, 142, 334)(80, 272, 145, 337, 103, 295, 141, 333)(91, 283, 132, 324, 176, 368, 154, 346)(93, 285, 139, 331, 177, 369, 155, 347)(94, 286, 156, 348, 173, 365, 157, 349)(95, 287, 133, 325, 168, 360, 158, 350)(99, 291, 148, 340, 181, 373, 160, 352)(106, 298, 159, 351, 183, 375, 152, 344)(110, 302, 163, 355, 178, 370, 137, 329)(113, 305, 146, 338, 172, 364, 151, 343)(129, 321, 167, 359, 188, 380, 174, 366)(131, 323, 170, 362, 162, 354, 175, 367)(143, 335, 180, 372, 189, 381, 169, 361)(147, 339, 179, 371, 187, 379, 166, 358)(149, 341, 182, 374, 153, 345, 164, 356)(161, 353, 171, 363, 190, 382, 185, 377)(184, 376, 191, 383, 186, 378, 192, 384)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 416)(16, 390)(17, 421)(18, 423)(19, 424)(20, 392)(21, 427)(22, 393)(23, 395)(24, 398)(25, 435)(26, 436)(27, 430)(28, 440)(29, 441)(30, 397)(31, 434)(32, 447)(33, 449)(34, 450)(35, 400)(36, 402)(37, 404)(38, 457)(39, 458)(40, 460)(41, 403)(42, 456)(43, 465)(44, 405)(45, 469)(46, 406)(47, 472)(48, 407)(49, 409)(50, 478)(51, 479)(52, 475)(53, 483)(54, 412)(55, 486)(56, 487)(57, 490)(58, 492)(59, 493)(60, 414)(61, 415)(62, 417)(63, 419)(64, 502)(65, 503)(66, 505)(67, 418)(68, 501)(69, 510)(70, 420)(71, 422)(72, 516)(73, 517)(74, 513)(75, 521)(76, 523)(77, 525)(78, 526)(79, 425)(80, 426)(81, 531)(82, 519)(83, 511)(84, 428)(85, 533)(86, 429)(87, 439)(88, 537)(89, 431)(90, 538)(91, 432)(92, 539)(93, 433)(94, 529)(95, 528)(96, 515)(97, 437)(98, 530)(99, 543)(100, 512)(101, 438)(102, 542)(103, 541)(104, 545)(105, 442)(106, 444)(107, 506)(108, 504)(109, 498)(110, 443)(111, 536)(112, 535)(113, 445)(114, 474)(115, 446)(116, 448)(117, 551)(118, 552)(119, 548)(120, 553)(121, 554)(122, 481)(123, 473)(124, 451)(125, 452)(126, 557)(127, 453)(128, 558)(129, 454)(130, 559)(131, 455)(132, 482)(133, 480)(134, 550)(135, 459)(136, 556)(137, 561)(138, 461)(139, 463)(140, 466)(141, 488)(142, 484)(143, 462)(144, 477)(145, 497)(146, 464)(147, 468)(148, 467)(149, 496)(150, 567)(151, 470)(152, 471)(153, 555)(154, 494)(155, 562)(156, 476)(157, 485)(158, 495)(159, 491)(160, 568)(161, 563)(162, 489)(163, 560)(164, 499)(165, 571)(166, 500)(167, 520)(168, 518)(169, 546)(170, 508)(171, 507)(172, 509)(173, 532)(174, 527)(175, 573)(176, 514)(177, 524)(178, 575)(179, 522)(180, 572)(181, 540)(182, 534)(183, 544)(184, 574)(185, 576)(186, 547)(187, 569)(188, 549)(189, 570)(190, 566)(191, 565)(192, 564)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.1022
Graph:: simple bipartite
	v = 240 e = 384 f = 128
	degree seq :: [ 2^192, 8^48 ]

E9.1024 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2)^3, T1^12, (T1^3 * T2 * T1^3)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * T2 * T1^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 104, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 119, 103, 128, 78, 46, 26, 14)(9, 18, 32, 55, 92, 106, 64, 105, 86, 51, 29, 16)(12, 23, 41, 69, 113, 101, 61, 102, 118, 72, 42, 24)(19, 34, 58, 97, 108, 66, 38, 65, 107, 96, 57, 33)(22, 39, 67, 109, 99, 59, 35, 60, 100, 112, 68, 40)(28, 49, 83, 132, 179, 142, 90, 143, 180, 135, 84, 50)(30, 52, 87, 138, 176, 127, 80, 129, 171, 123, 75, 44)(45, 76, 124, 172, 192, 166, 120, 167, 189, 162, 115, 70)(48, 81, 130, 155, 140, 88, 53, 89, 141, 158, 131, 82)(56, 94, 146, 170, 191, 181, 137, 154, 186, 182, 147, 95)(71, 116, 163, 190, 178, 152, 159, 188, 183, 139, 156, 110)(74, 121, 168, 148, 174, 125, 77, 126, 175, 149, 169, 122)(85, 136, 164, 117, 165, 145, 93, 144, 161, 114, 160, 133)(98, 150, 177, 134, 173, 185, 153, 111, 157, 187, 184, 151)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 104)(66, 105)(67, 110)(68, 111)(69, 114)(72, 117)(73, 120)(75, 121)(76, 125)(78, 127)(79, 128)(82, 129)(83, 133)(84, 134)(86, 137)(87, 139)(89, 142)(91, 106)(92, 143)(95, 144)(96, 148)(97, 149)(99, 150)(100, 152)(102, 119)(107, 153)(108, 154)(109, 155)(112, 158)(113, 159)(115, 160)(116, 164)(118, 166)(122, 167)(123, 170)(124, 173)(126, 176)(130, 177)(131, 178)(132, 162)(135, 172)(136, 181)(138, 182)(140, 156)(141, 157)(145, 180)(146, 168)(147, 183)(151, 169)(161, 188)(163, 191)(165, 192)(171, 190)(174, 185)(175, 186)(179, 187)(184, 189)
	local type(s) :: { ( 3^12 ) }
Outer automorphisms :: reflexible
Dual of E9.1025
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 16 e = 96 f = 64
	degree seq :: [ 12^16 ]

E9.1025 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2 * T1)^4, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2)^12 ]
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, 80)(62, 88, 89)(63, 90, 91)(64, 92, 93)(65, 94, 95)(66, 96, 97)(75, 105, 106)(76, 107, 108)(77, 109, 102)(78, 110, 111)(79, 112, 113)(81, 114, 115)(82, 116, 117)(98, 132, 133)(99, 134, 135)(100, 136, 137)(101, 138, 139)(103, 140, 141)(104, 142, 143)(118, 157, 156)(119, 158, 159)(120, 148, 129)(121, 153, 160)(122, 161, 162)(123, 149, 163)(124, 164, 145)(125, 165, 166)(126, 152, 167)(127, 154, 146)(128, 168, 169)(130, 170, 151)(131, 171, 172)(144, 177, 176)(147, 175, 178)(150, 179, 173)(155, 180, 174)(181, 189, 188)(182, 187, 190)(183, 191, 185)(184, 192, 186)
	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, 92)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(83, 118)(84, 119)(85, 120)(86, 121)(87, 122)(88, 123)(89, 124)(90, 125)(91, 126)(93, 127)(94, 128)(95, 129)(96, 130)(97, 131)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)(132, 171)(133, 173)(134, 162)(135, 169)(136, 163)(137, 158)(138, 174)(139, 167)(140, 175)(141, 161)(142, 165)(143, 176)(157, 181)(159, 182)(160, 183)(164, 184)(166, 185)(168, 186)(170, 187)(172, 188)(177, 189)(178, 190)(179, 191)(180, 192)
	local type(s) :: { ( 12^3 ) }
Outer automorphisms :: reflexible
Dual of E9.1024
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 96 f = 16
	degree seq :: [ 3^64 ]

E9.1026 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^4, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 119, 120)(92, 121, 122)(93, 123, 102)(94, 124, 125)(95, 126, 127)(96, 128, 129)(97, 130, 131)(98, 132, 133)(99, 134, 135)(100, 136, 137)(101, 138, 139)(103, 140, 141)(104, 142, 143)(105, 144, 145)(106, 146, 147)(107, 148, 116)(108, 149, 150)(109, 151, 152)(110, 153, 154)(111, 155, 156)(112, 157, 158)(113, 159, 160)(114, 161, 162)(115, 163, 164)(117, 165, 166)(118, 167, 168)(169, 185, 176)(170, 175, 186)(171, 187, 173)(172, 188, 174)(177, 189, 184)(178, 183, 190)(179, 191, 181)(180, 192, 182)(193, 194)(195, 199)(196, 200)(197, 201)(198, 202)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(209, 217)(210, 218)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(225, 241)(226, 242)(227, 243)(228, 244)(229, 245)(230, 246)(231, 247)(232, 248)(233, 249)(234, 250)(251, 283)(252, 284)(253, 285)(254, 286)(255, 287)(256, 272)(257, 288)(258, 289)(259, 290)(260, 291)(261, 277)(262, 292)(263, 293)(264, 294)(265, 295)(266, 296)(267, 297)(268, 298)(269, 299)(270, 300)(271, 301)(273, 302)(274, 303)(275, 304)(276, 305)(278, 306)(279, 307)(280, 308)(281, 309)(282, 310)(311, 361)(312, 348)(313, 354)(314, 362)(315, 340)(316, 345)(317, 363)(318, 358)(319, 351)(320, 341)(321, 353)(322, 364)(323, 337)(324, 359)(325, 365)(326, 344)(327, 356)(328, 346)(329, 338)(330, 366)(331, 352)(332, 367)(333, 343)(334, 349)(335, 368)(336, 369)(339, 370)(342, 371)(347, 372)(350, 373)(355, 374)(357, 375)(360, 376)(377, 381)(378, 382)(379, 383)(380, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 24 ), ( 24^3 ) }
Outer automorphisms :: reflexible
Dual of E9.1030
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 192 f = 16
	degree seq :: [ 2^96, 3^64 ]

E9.1027 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, (T2^3 * T1^-1 * T2^2)^2, T2^12, (T2^2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 67, 117, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 145, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 127, 162, 108, 62, 34, 17, 8)(10, 21, 40, 71, 122, 85, 140, 128, 112, 64, 35, 18)(12, 23, 43, 77, 132, 101, 116, 68, 118, 80, 44, 24)(15, 29, 53, 93, 150, 107, 144, 90, 146, 96, 54, 30)(20, 39, 70, 120, 84, 47, 83, 139, 169, 114, 65, 36)(25, 45, 81, 137, 171, 115, 66, 38, 69, 119, 82, 46)(28, 52, 92, 148, 100, 57, 99, 156, 183, 142, 87, 49)(31, 55, 97, 154, 185, 143, 88, 51, 91, 147, 98, 56)(33, 59, 103, 157, 188, 166, 126, 75, 129, 159, 104, 60)(42, 76, 130, 161, 106, 61, 105, 160, 189, 177, 125, 73)(63, 109, 163, 153, 184, 191, 174, 123, 175, 149, 94, 110)(72, 124, 79, 135, 165, 111, 164, 190, 179, 133, 173, 121)(78, 134, 95, 152, 180, 136, 170, 192, 187, 151, 178, 131)(113, 167, 155, 186, 176, 181, 138, 172, 141, 182, 158, 168)(193, 194, 196)(195, 200, 202)(197, 204, 198)(199, 207, 203)(201, 210, 212)(205, 217, 215)(206, 216, 220)(208, 223, 221)(209, 225, 213)(211, 228, 230)(214, 222, 234)(218, 239, 237)(219, 241, 243)(224, 249, 247)(226, 253, 251)(227, 255, 231)(229, 258, 260)(232, 252, 264)(233, 265, 267)(235, 238, 270)(236, 271, 244)(240, 277, 275)(242, 280, 282)(245, 248, 286)(246, 287, 268)(250, 293, 291)(254, 299, 297)(256, 303, 301)(257, 305, 261)(259, 308, 294)(262, 302, 290)(263, 313, 315)(266, 318, 320)(269, 323, 325)(272, 328, 327)(273, 276, 330)(274, 322, 326)(278, 319, 332)(279, 333, 283)(281, 336, 300)(284, 316, 296)(285, 341, 343)(288, 345, 344)(289, 292, 347)(295, 298, 350)(304, 358, 356)(306, 346, 359)(307, 362, 310)(309, 337, 354)(311, 360, 353)(312, 339, 364)(314, 366, 331)(317, 368, 321)(324, 371, 348)(329, 373, 369)(334, 349, 374)(335, 376, 338)(340, 351, 378)(342, 379, 352)(355, 357, 372)(361, 383, 377)(363, 381, 384)(365, 370, 367)(375, 382, 380)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^3 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E9.1031
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 192 f = 96
	degree seq :: [ 3^64, 12^16 ]

E9.1028 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^12, (T1^3 * T2 * T1^3)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 104)(66, 105)(67, 110)(68, 111)(69, 114)(72, 117)(73, 120)(75, 121)(76, 125)(78, 127)(79, 128)(82, 129)(83, 133)(84, 134)(86, 137)(87, 139)(89, 142)(91, 106)(92, 143)(95, 144)(96, 148)(97, 149)(99, 150)(100, 152)(102, 119)(107, 153)(108, 154)(109, 155)(112, 158)(113, 159)(115, 160)(116, 164)(118, 166)(122, 167)(123, 170)(124, 173)(126, 176)(130, 177)(131, 178)(132, 162)(135, 172)(136, 181)(138, 182)(140, 156)(141, 157)(145, 180)(146, 168)(147, 183)(151, 169)(161, 188)(163, 191)(165, 192)(171, 190)(174, 185)(175, 186)(179, 187)(184, 189)(193, 194, 197, 203, 213, 229, 255, 254, 228, 212, 202, 196)(195, 199, 207, 219, 239, 271, 296, 283, 246, 223, 209, 200)(198, 205, 217, 235, 265, 311, 295, 320, 270, 238, 218, 206)(201, 210, 224, 247, 284, 298, 256, 297, 278, 243, 221, 208)(204, 215, 233, 261, 305, 293, 253, 294, 310, 264, 234, 216)(211, 226, 250, 289, 300, 258, 230, 257, 299, 288, 249, 225)(214, 231, 259, 301, 291, 251, 227, 252, 292, 304, 260, 232)(220, 241, 275, 324, 371, 334, 282, 335, 372, 327, 276, 242)(222, 244, 279, 330, 368, 319, 272, 321, 363, 315, 267, 236)(237, 268, 316, 364, 384, 358, 312, 359, 381, 354, 307, 262)(240, 273, 322, 347, 332, 280, 245, 281, 333, 350, 323, 274)(248, 286, 338, 362, 383, 373, 329, 346, 378, 374, 339, 287)(263, 308, 355, 382, 370, 344, 351, 380, 375, 331, 348, 302)(266, 313, 360, 340, 366, 317, 269, 318, 367, 341, 361, 314)(277, 328, 356, 309, 357, 337, 285, 336, 353, 306, 352, 325)(290, 342, 369, 326, 365, 377, 345, 303, 349, 379, 376, 343)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 6 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E9.1029
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 192 f = 64
	degree seq :: [ 2^96, 12^16 ]

E9.1029 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^4, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^12 ]
Map::
	R = (1, 193, 3, 195, 4, 196)(2, 194, 5, 197, 6, 198)(7, 199, 11, 203, 12, 204)(8, 200, 13, 205, 14, 206)(9, 201, 15, 207, 16, 208)(10, 202, 17, 209, 18, 210)(19, 211, 27, 219, 28, 220)(20, 212, 29, 221, 30, 222)(21, 213, 31, 223, 32, 224)(22, 214, 33, 225, 34, 226)(23, 215, 35, 227, 36, 228)(24, 216, 37, 229, 38, 230)(25, 217, 39, 231, 40, 232)(26, 218, 41, 233, 42, 234)(43, 235, 59, 251, 60, 252)(44, 236, 61, 253, 62, 254)(45, 237, 63, 255, 64, 256)(46, 238, 65, 257, 66, 258)(47, 239, 67, 259, 68, 260)(48, 240, 69, 261, 70, 262)(49, 241, 71, 263, 72, 264)(50, 242, 73, 265, 74, 266)(51, 243, 75, 267, 76, 268)(52, 244, 77, 269, 78, 270)(53, 245, 79, 271, 80, 272)(54, 246, 81, 273, 82, 274)(55, 247, 83, 275, 84, 276)(56, 248, 85, 277, 86, 278)(57, 249, 87, 279, 88, 280)(58, 250, 89, 281, 90, 282)(91, 283, 119, 311, 120, 312)(92, 284, 121, 313, 122, 314)(93, 285, 123, 315, 102, 294)(94, 286, 124, 316, 125, 317)(95, 287, 126, 318, 127, 319)(96, 288, 128, 320, 129, 321)(97, 289, 130, 322, 131, 323)(98, 290, 132, 324, 133, 325)(99, 291, 134, 326, 135, 327)(100, 292, 136, 328, 137, 329)(101, 293, 138, 330, 139, 331)(103, 295, 140, 332, 141, 333)(104, 296, 142, 334, 143, 335)(105, 297, 144, 336, 145, 337)(106, 298, 146, 338, 147, 339)(107, 299, 148, 340, 116, 308)(108, 300, 149, 341, 150, 342)(109, 301, 151, 343, 152, 344)(110, 302, 153, 345, 154, 346)(111, 303, 155, 347, 156, 348)(112, 304, 157, 349, 158, 350)(113, 305, 159, 351, 160, 352)(114, 306, 161, 353, 162, 354)(115, 307, 163, 355, 164, 356)(117, 309, 165, 357, 166, 358)(118, 310, 167, 359, 168, 360)(169, 361, 185, 377, 176, 368)(170, 362, 175, 367, 186, 378)(171, 363, 187, 379, 173, 365)(172, 364, 188, 380, 174, 366)(177, 369, 189, 381, 184, 376)(178, 370, 183, 375, 190, 382)(179, 371, 191, 383, 181, 373)(180, 372, 192, 384, 182, 374)
	L = (1, 194)(2, 193)(3, 199)(4, 200)(5, 201)(6, 202)(7, 195)(8, 196)(9, 197)(10, 198)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 203)(20, 204)(21, 205)(22, 206)(23, 207)(24, 208)(25, 209)(26, 210)(27, 235)(28, 236)(29, 237)(30, 238)(31, 239)(32, 240)(33, 241)(34, 242)(35, 243)(36, 244)(37, 245)(38, 246)(39, 247)(40, 248)(41, 249)(42, 250)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 283)(60, 284)(61, 285)(62, 286)(63, 287)(64, 272)(65, 288)(66, 289)(67, 290)(68, 291)(69, 277)(70, 292)(71, 293)(72, 294)(73, 295)(74, 296)(75, 297)(76, 298)(77, 299)(78, 300)(79, 301)(80, 256)(81, 302)(82, 303)(83, 304)(84, 305)(85, 261)(86, 306)(87, 307)(88, 308)(89, 309)(90, 310)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 257)(97, 258)(98, 259)(99, 260)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 273)(111, 274)(112, 275)(113, 276)(114, 278)(115, 279)(116, 280)(117, 281)(118, 282)(119, 361)(120, 348)(121, 354)(122, 362)(123, 340)(124, 345)(125, 363)(126, 358)(127, 351)(128, 341)(129, 353)(130, 364)(131, 337)(132, 359)(133, 365)(134, 344)(135, 356)(136, 346)(137, 338)(138, 366)(139, 352)(140, 367)(141, 343)(142, 349)(143, 368)(144, 369)(145, 323)(146, 329)(147, 370)(148, 315)(149, 320)(150, 371)(151, 333)(152, 326)(153, 316)(154, 328)(155, 372)(156, 312)(157, 334)(158, 373)(159, 319)(160, 331)(161, 321)(162, 313)(163, 374)(164, 327)(165, 375)(166, 318)(167, 324)(168, 376)(169, 311)(170, 314)(171, 317)(172, 322)(173, 325)(174, 330)(175, 332)(176, 335)(177, 336)(178, 339)(179, 342)(180, 347)(181, 350)(182, 355)(183, 357)(184, 360)(185, 381)(186, 382)(187, 383)(188, 384)(189, 377)(190, 378)(191, 379)(192, 380)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.1028
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 64 e = 192 f = 112
	degree seq :: [ 6^64 ]

E9.1030 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, (T2^3 * T1^-1 * T2^2)^2, T2^12, (T2^2 * T1^-1)^4 ]
Map::
	R = (1, 193, 3, 195, 9, 201, 19, 211, 37, 229, 67, 259, 117, 309, 86, 278, 48, 240, 26, 218, 13, 205, 5, 197)(2, 194, 6, 198, 14, 206, 27, 219, 50, 242, 89, 281, 145, 337, 102, 294, 58, 250, 32, 224, 16, 208, 7, 199)(4, 196, 11, 203, 22, 214, 41, 233, 74, 266, 127, 319, 162, 354, 108, 300, 62, 254, 34, 226, 17, 209, 8, 200)(10, 202, 21, 213, 40, 232, 71, 263, 122, 314, 85, 277, 140, 332, 128, 320, 112, 304, 64, 256, 35, 227, 18, 210)(12, 204, 23, 215, 43, 235, 77, 269, 132, 324, 101, 293, 116, 308, 68, 260, 118, 310, 80, 272, 44, 236, 24, 216)(15, 207, 29, 221, 53, 245, 93, 285, 150, 342, 107, 299, 144, 336, 90, 282, 146, 338, 96, 288, 54, 246, 30, 222)(20, 212, 39, 231, 70, 262, 120, 312, 84, 276, 47, 239, 83, 275, 139, 331, 169, 361, 114, 306, 65, 257, 36, 228)(25, 217, 45, 237, 81, 273, 137, 329, 171, 363, 115, 307, 66, 258, 38, 230, 69, 261, 119, 311, 82, 274, 46, 238)(28, 220, 52, 244, 92, 284, 148, 340, 100, 292, 57, 249, 99, 291, 156, 348, 183, 375, 142, 334, 87, 279, 49, 241)(31, 223, 55, 247, 97, 289, 154, 346, 185, 377, 143, 335, 88, 280, 51, 243, 91, 283, 147, 339, 98, 290, 56, 248)(33, 225, 59, 251, 103, 295, 157, 349, 188, 380, 166, 358, 126, 318, 75, 267, 129, 321, 159, 351, 104, 296, 60, 252)(42, 234, 76, 268, 130, 322, 161, 353, 106, 298, 61, 253, 105, 297, 160, 352, 189, 381, 177, 369, 125, 317, 73, 265)(63, 255, 109, 301, 163, 355, 153, 345, 184, 376, 191, 383, 174, 366, 123, 315, 175, 367, 149, 341, 94, 286, 110, 302)(72, 264, 124, 316, 79, 271, 135, 327, 165, 357, 111, 303, 164, 356, 190, 382, 179, 371, 133, 325, 173, 365, 121, 313)(78, 270, 134, 326, 95, 287, 152, 344, 180, 372, 136, 328, 170, 362, 192, 384, 187, 379, 151, 343, 178, 370, 131, 323)(113, 305, 167, 359, 155, 347, 186, 378, 176, 368, 181, 373, 138, 330, 172, 364, 141, 333, 182, 374, 158, 350, 168, 360)
	L = (1, 194)(2, 196)(3, 200)(4, 193)(5, 204)(6, 197)(7, 207)(8, 202)(9, 210)(10, 195)(11, 199)(12, 198)(13, 217)(14, 216)(15, 203)(16, 223)(17, 225)(18, 212)(19, 228)(20, 201)(21, 209)(22, 222)(23, 205)(24, 220)(25, 215)(26, 239)(27, 241)(28, 206)(29, 208)(30, 234)(31, 221)(32, 249)(33, 213)(34, 253)(35, 255)(36, 230)(37, 258)(38, 211)(39, 227)(40, 252)(41, 265)(42, 214)(43, 238)(44, 271)(45, 218)(46, 270)(47, 237)(48, 277)(49, 243)(50, 280)(51, 219)(52, 236)(53, 248)(54, 287)(55, 224)(56, 286)(57, 247)(58, 293)(59, 226)(60, 264)(61, 251)(62, 299)(63, 231)(64, 303)(65, 305)(66, 260)(67, 308)(68, 229)(69, 257)(70, 302)(71, 313)(72, 232)(73, 267)(74, 318)(75, 233)(76, 246)(77, 323)(78, 235)(79, 244)(80, 328)(81, 276)(82, 322)(83, 240)(84, 330)(85, 275)(86, 319)(87, 333)(88, 282)(89, 336)(90, 242)(91, 279)(92, 316)(93, 341)(94, 245)(95, 268)(96, 345)(97, 292)(98, 262)(99, 250)(100, 347)(101, 291)(102, 259)(103, 298)(104, 284)(105, 254)(106, 350)(107, 297)(108, 281)(109, 256)(110, 290)(111, 301)(112, 358)(113, 261)(114, 346)(115, 362)(116, 294)(117, 337)(118, 307)(119, 360)(120, 339)(121, 315)(122, 366)(123, 263)(124, 296)(125, 368)(126, 320)(127, 332)(128, 266)(129, 317)(130, 326)(131, 325)(132, 371)(133, 269)(134, 274)(135, 272)(136, 327)(137, 373)(138, 273)(139, 314)(140, 278)(141, 283)(142, 349)(143, 376)(144, 300)(145, 354)(146, 335)(147, 364)(148, 351)(149, 343)(150, 379)(151, 285)(152, 288)(153, 344)(154, 359)(155, 289)(156, 324)(157, 374)(158, 295)(159, 378)(160, 342)(161, 311)(162, 309)(163, 357)(164, 304)(165, 372)(166, 356)(167, 306)(168, 353)(169, 383)(170, 310)(171, 381)(172, 312)(173, 370)(174, 331)(175, 365)(176, 321)(177, 329)(178, 367)(179, 348)(180, 355)(181, 369)(182, 334)(183, 382)(184, 338)(185, 361)(186, 340)(187, 352)(188, 375)(189, 384)(190, 380)(191, 377)(192, 363)
	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 E9.1026
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 192 f = 160
	degree seq :: [ 24^16 ]

E9.1031 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^12, (T1^3 * T2 * T1^3)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 13, 205)(10, 202, 19, 211)(11, 203, 22, 214)(14, 206, 23, 215)(15, 207, 28, 220)(17, 209, 30, 222)(18, 210, 33, 225)(20, 212, 35, 227)(21, 213, 38, 230)(24, 216, 39, 231)(25, 217, 44, 236)(26, 218, 45, 237)(27, 219, 48, 240)(29, 221, 49, 241)(31, 223, 53, 245)(32, 224, 56, 248)(34, 226, 59, 251)(36, 228, 61, 253)(37, 229, 64, 256)(40, 232, 65, 257)(41, 233, 70, 262)(42, 234, 71, 263)(43, 235, 74, 266)(46, 238, 77, 269)(47, 239, 80, 272)(50, 242, 81, 273)(51, 243, 85, 277)(52, 244, 88, 280)(54, 246, 90, 282)(55, 247, 93, 285)(57, 249, 94, 286)(58, 250, 98, 290)(60, 252, 101, 293)(62, 254, 103, 295)(63, 255, 104, 296)(66, 258, 105, 297)(67, 259, 110, 302)(68, 260, 111, 303)(69, 261, 114, 306)(72, 264, 117, 309)(73, 265, 120, 312)(75, 267, 121, 313)(76, 268, 125, 317)(78, 270, 127, 319)(79, 271, 128, 320)(82, 274, 129, 321)(83, 275, 133, 325)(84, 276, 134, 326)(86, 278, 137, 329)(87, 279, 139, 331)(89, 281, 142, 334)(91, 283, 106, 298)(92, 284, 143, 335)(95, 287, 144, 336)(96, 288, 148, 340)(97, 289, 149, 341)(99, 291, 150, 342)(100, 292, 152, 344)(102, 294, 119, 311)(107, 299, 153, 345)(108, 300, 154, 346)(109, 301, 155, 347)(112, 304, 158, 350)(113, 305, 159, 351)(115, 307, 160, 352)(116, 308, 164, 356)(118, 310, 166, 358)(122, 314, 167, 359)(123, 315, 170, 362)(124, 316, 173, 365)(126, 318, 176, 368)(130, 322, 177, 369)(131, 323, 178, 370)(132, 324, 162, 354)(135, 327, 172, 364)(136, 328, 181, 373)(138, 330, 182, 374)(140, 332, 156, 348)(141, 333, 157, 349)(145, 337, 180, 372)(146, 338, 168, 360)(147, 339, 183, 375)(151, 343, 169, 361)(161, 353, 188, 380)(163, 355, 191, 383)(165, 357, 192, 384)(171, 363, 190, 382)(174, 366, 185, 377)(175, 367, 186, 378)(179, 371, 187, 379)(184, 376, 189, 381)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 210)(10, 196)(11, 213)(12, 215)(13, 217)(14, 198)(15, 219)(16, 201)(17, 200)(18, 224)(19, 226)(20, 202)(21, 229)(22, 231)(23, 233)(24, 204)(25, 235)(26, 206)(27, 239)(28, 241)(29, 208)(30, 244)(31, 209)(32, 247)(33, 211)(34, 250)(35, 252)(36, 212)(37, 255)(38, 257)(39, 259)(40, 214)(41, 261)(42, 216)(43, 265)(44, 222)(45, 268)(46, 218)(47, 271)(48, 273)(49, 275)(50, 220)(51, 221)(52, 279)(53, 281)(54, 223)(55, 284)(56, 286)(57, 225)(58, 289)(59, 227)(60, 292)(61, 294)(62, 228)(63, 254)(64, 297)(65, 299)(66, 230)(67, 301)(68, 232)(69, 305)(70, 237)(71, 308)(72, 234)(73, 311)(74, 313)(75, 236)(76, 316)(77, 318)(78, 238)(79, 296)(80, 321)(81, 322)(82, 240)(83, 324)(84, 242)(85, 328)(86, 243)(87, 330)(88, 245)(89, 333)(90, 335)(91, 246)(92, 298)(93, 336)(94, 338)(95, 248)(96, 249)(97, 300)(98, 342)(99, 251)(100, 304)(101, 253)(102, 310)(103, 320)(104, 283)(105, 278)(106, 256)(107, 288)(108, 258)(109, 291)(110, 263)(111, 349)(112, 260)(113, 293)(114, 352)(115, 262)(116, 355)(117, 357)(118, 264)(119, 295)(120, 359)(121, 360)(122, 266)(123, 267)(124, 364)(125, 269)(126, 367)(127, 272)(128, 270)(129, 363)(130, 347)(131, 274)(132, 371)(133, 277)(134, 365)(135, 276)(136, 356)(137, 346)(138, 368)(139, 348)(140, 280)(141, 350)(142, 282)(143, 372)(144, 353)(145, 285)(146, 362)(147, 287)(148, 366)(149, 361)(150, 369)(151, 290)(152, 351)(153, 303)(154, 378)(155, 332)(156, 302)(157, 379)(158, 323)(159, 380)(160, 325)(161, 306)(162, 307)(163, 382)(164, 309)(165, 337)(166, 312)(167, 381)(168, 340)(169, 314)(170, 383)(171, 315)(172, 384)(173, 377)(174, 317)(175, 341)(176, 319)(177, 326)(178, 344)(179, 334)(180, 327)(181, 329)(182, 339)(183, 331)(184, 343)(185, 345)(186, 374)(187, 376)(188, 375)(189, 354)(190, 370)(191, 373)(192, 358)
	local type(s) :: { ( 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E9.1027
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 96 e = 192 f = 80
	degree seq :: [ 4^96 ]

E9.1032 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 8, 200)(5, 197, 9, 201)(6, 198, 10, 202)(11, 203, 19, 211)(12, 204, 20, 212)(13, 205, 21, 213)(14, 206, 22, 214)(15, 207, 23, 215)(16, 208, 24, 216)(17, 209, 25, 217)(18, 210, 26, 218)(27, 219, 43, 235)(28, 220, 44, 236)(29, 221, 45, 237)(30, 222, 46, 238)(31, 223, 47, 239)(32, 224, 48, 240)(33, 225, 49, 241)(34, 226, 50, 242)(35, 227, 51, 243)(36, 228, 52, 244)(37, 229, 53, 245)(38, 230, 54, 246)(39, 231, 55, 247)(40, 232, 56, 248)(41, 233, 57, 249)(42, 234, 58, 250)(59, 251, 91, 283)(60, 252, 92, 284)(61, 253, 93, 285)(62, 254, 94, 286)(63, 255, 95, 287)(64, 256, 80, 272)(65, 257, 96, 288)(66, 258, 97, 289)(67, 259, 98, 290)(68, 260, 99, 291)(69, 261, 85, 277)(70, 262, 100, 292)(71, 263, 101, 293)(72, 264, 102, 294)(73, 265, 103, 295)(74, 266, 104, 296)(75, 267, 105, 297)(76, 268, 106, 298)(77, 269, 107, 299)(78, 270, 108, 300)(79, 271, 109, 301)(81, 273, 110, 302)(82, 274, 111, 303)(83, 275, 112, 304)(84, 276, 113, 305)(86, 278, 114, 306)(87, 279, 115, 307)(88, 280, 116, 308)(89, 281, 117, 309)(90, 282, 118, 310)(119, 311, 169, 361)(120, 312, 156, 348)(121, 313, 162, 354)(122, 314, 170, 362)(123, 315, 148, 340)(124, 316, 153, 345)(125, 317, 171, 363)(126, 318, 166, 358)(127, 319, 159, 351)(128, 320, 149, 341)(129, 321, 161, 353)(130, 322, 172, 364)(131, 323, 145, 337)(132, 324, 167, 359)(133, 325, 173, 365)(134, 326, 152, 344)(135, 327, 164, 356)(136, 328, 154, 346)(137, 329, 146, 338)(138, 330, 174, 366)(139, 331, 160, 352)(140, 332, 175, 367)(141, 333, 151, 343)(142, 334, 157, 349)(143, 335, 176, 368)(144, 336, 177, 369)(147, 339, 178, 370)(150, 342, 179, 371)(155, 347, 180, 372)(158, 350, 181, 373)(163, 355, 182, 374)(165, 357, 183, 375)(168, 360, 184, 376)(185, 377, 189, 381)(186, 378, 190, 382)(187, 379, 191, 383)(188, 380, 192, 384)(385, 577, 387, 579, 388, 580)(386, 578, 389, 581, 390, 582)(391, 583, 395, 587, 396, 588)(392, 584, 397, 589, 398, 590)(393, 585, 399, 591, 400, 592)(394, 586, 401, 593, 402, 594)(403, 595, 411, 603, 412, 604)(404, 596, 413, 605, 414, 606)(405, 597, 415, 607, 416, 608)(406, 598, 417, 609, 418, 610)(407, 599, 419, 611, 420, 612)(408, 600, 421, 613, 422, 614)(409, 601, 423, 615, 424, 616)(410, 602, 425, 617, 426, 618)(427, 619, 443, 635, 444, 636)(428, 620, 445, 637, 446, 638)(429, 621, 447, 639, 448, 640)(430, 622, 449, 641, 450, 642)(431, 623, 451, 643, 452, 644)(432, 624, 453, 645, 454, 646)(433, 625, 455, 647, 456, 648)(434, 626, 457, 649, 458, 650)(435, 627, 459, 651, 460, 652)(436, 628, 461, 653, 462, 654)(437, 629, 463, 655, 464, 656)(438, 630, 465, 657, 466, 658)(439, 631, 467, 659, 468, 660)(440, 632, 469, 661, 470, 662)(441, 633, 471, 663, 472, 664)(442, 634, 473, 665, 474, 666)(475, 667, 503, 695, 504, 696)(476, 668, 505, 697, 506, 698)(477, 669, 507, 699, 486, 678)(478, 670, 508, 700, 509, 701)(479, 671, 510, 702, 511, 703)(480, 672, 512, 704, 513, 705)(481, 673, 514, 706, 515, 707)(482, 674, 516, 708, 517, 709)(483, 675, 518, 710, 519, 711)(484, 676, 520, 712, 521, 713)(485, 677, 522, 714, 523, 715)(487, 679, 524, 716, 525, 717)(488, 680, 526, 718, 527, 719)(489, 681, 528, 720, 529, 721)(490, 682, 530, 722, 531, 723)(491, 683, 532, 724, 500, 692)(492, 684, 533, 725, 534, 726)(493, 685, 535, 727, 536, 728)(494, 686, 537, 729, 538, 730)(495, 687, 539, 731, 540, 732)(496, 688, 541, 733, 542, 734)(497, 689, 543, 735, 544, 736)(498, 690, 545, 737, 546, 738)(499, 691, 547, 739, 548, 740)(501, 693, 549, 741, 550, 742)(502, 694, 551, 743, 552, 744)(553, 745, 569, 761, 560, 752)(554, 746, 559, 751, 570, 762)(555, 747, 571, 763, 557, 749)(556, 748, 572, 764, 558, 750)(561, 753, 573, 765, 568, 760)(562, 754, 567, 759, 574, 766)(563, 755, 575, 767, 565, 757)(564, 756, 576, 768, 566, 758)
	L = (1, 386)(2, 385)(3, 391)(4, 392)(5, 393)(6, 394)(7, 387)(8, 388)(9, 389)(10, 390)(11, 403)(12, 404)(13, 405)(14, 406)(15, 407)(16, 408)(17, 409)(18, 410)(19, 395)(20, 396)(21, 397)(22, 398)(23, 399)(24, 400)(25, 401)(26, 402)(27, 427)(28, 428)(29, 429)(30, 430)(31, 431)(32, 432)(33, 433)(34, 434)(35, 435)(36, 436)(37, 437)(38, 438)(39, 439)(40, 440)(41, 441)(42, 442)(43, 411)(44, 412)(45, 413)(46, 414)(47, 415)(48, 416)(49, 417)(50, 418)(51, 419)(52, 420)(53, 421)(54, 422)(55, 423)(56, 424)(57, 425)(58, 426)(59, 475)(60, 476)(61, 477)(62, 478)(63, 479)(64, 464)(65, 480)(66, 481)(67, 482)(68, 483)(69, 469)(70, 484)(71, 485)(72, 486)(73, 487)(74, 488)(75, 489)(76, 490)(77, 491)(78, 492)(79, 493)(80, 448)(81, 494)(82, 495)(83, 496)(84, 497)(85, 453)(86, 498)(87, 499)(88, 500)(89, 501)(90, 502)(91, 443)(92, 444)(93, 445)(94, 446)(95, 447)(96, 449)(97, 450)(98, 451)(99, 452)(100, 454)(101, 455)(102, 456)(103, 457)(104, 458)(105, 459)(106, 460)(107, 461)(108, 462)(109, 463)(110, 465)(111, 466)(112, 467)(113, 468)(114, 470)(115, 471)(116, 472)(117, 473)(118, 474)(119, 553)(120, 540)(121, 546)(122, 554)(123, 532)(124, 537)(125, 555)(126, 550)(127, 543)(128, 533)(129, 545)(130, 556)(131, 529)(132, 551)(133, 557)(134, 536)(135, 548)(136, 538)(137, 530)(138, 558)(139, 544)(140, 559)(141, 535)(142, 541)(143, 560)(144, 561)(145, 515)(146, 521)(147, 562)(148, 507)(149, 512)(150, 563)(151, 525)(152, 518)(153, 508)(154, 520)(155, 564)(156, 504)(157, 526)(158, 565)(159, 511)(160, 523)(161, 513)(162, 505)(163, 566)(164, 519)(165, 567)(166, 510)(167, 516)(168, 568)(169, 503)(170, 506)(171, 509)(172, 514)(173, 517)(174, 522)(175, 524)(176, 527)(177, 528)(178, 531)(179, 534)(180, 539)(181, 542)(182, 547)(183, 549)(184, 552)(185, 573)(186, 574)(187, 575)(188, 576)(189, 569)(190, 570)(191, 571)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.1035
Graph:: bipartite
	v = 160 e = 384 f = 208
	degree seq :: [ 4^96, 6^64 ]

E9.1033 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^12, (Y2^5 * Y1^-1)^2, (Y2^2 * Y1^-1)^4 ]
Map::
	R = (1, 193, 2, 194, 4, 196)(3, 195, 8, 200, 10, 202)(5, 197, 12, 204, 6, 198)(7, 199, 15, 207, 11, 203)(9, 201, 18, 210, 20, 212)(13, 205, 25, 217, 23, 215)(14, 206, 24, 216, 28, 220)(16, 208, 31, 223, 29, 221)(17, 209, 33, 225, 21, 213)(19, 211, 36, 228, 38, 230)(22, 214, 30, 222, 42, 234)(26, 218, 47, 239, 45, 237)(27, 219, 49, 241, 51, 243)(32, 224, 57, 249, 55, 247)(34, 226, 61, 253, 59, 251)(35, 227, 63, 255, 39, 231)(37, 229, 66, 258, 68, 260)(40, 232, 60, 252, 72, 264)(41, 233, 73, 265, 75, 267)(43, 235, 46, 238, 78, 270)(44, 236, 79, 271, 52, 244)(48, 240, 85, 277, 83, 275)(50, 242, 88, 280, 90, 282)(53, 245, 56, 248, 94, 286)(54, 246, 95, 287, 76, 268)(58, 250, 101, 293, 99, 291)(62, 254, 107, 299, 105, 297)(64, 256, 111, 303, 109, 301)(65, 257, 113, 305, 69, 261)(67, 259, 116, 308, 102, 294)(70, 262, 110, 302, 98, 290)(71, 263, 121, 313, 123, 315)(74, 266, 126, 318, 128, 320)(77, 269, 131, 323, 133, 325)(80, 272, 136, 328, 135, 327)(81, 273, 84, 276, 138, 330)(82, 274, 130, 322, 134, 326)(86, 278, 127, 319, 140, 332)(87, 279, 141, 333, 91, 283)(89, 281, 144, 336, 108, 300)(92, 284, 124, 316, 104, 296)(93, 285, 149, 341, 151, 343)(96, 288, 153, 345, 152, 344)(97, 289, 100, 292, 155, 347)(103, 295, 106, 298, 158, 350)(112, 304, 166, 358, 164, 356)(114, 306, 154, 346, 167, 359)(115, 307, 170, 362, 118, 310)(117, 309, 145, 337, 162, 354)(119, 311, 168, 360, 161, 353)(120, 312, 147, 339, 172, 364)(122, 314, 174, 366, 139, 331)(125, 317, 176, 368, 129, 321)(132, 324, 179, 371, 156, 348)(137, 329, 181, 373, 177, 369)(142, 334, 157, 349, 182, 374)(143, 335, 184, 376, 146, 338)(148, 340, 159, 351, 186, 378)(150, 342, 187, 379, 160, 352)(163, 355, 165, 357, 180, 372)(169, 361, 191, 383, 185, 377)(171, 363, 189, 381, 192, 384)(173, 365, 178, 370, 175, 367)(183, 375, 190, 382, 188, 380)(385, 577, 387, 579, 393, 585, 403, 595, 421, 613, 451, 643, 501, 693, 470, 662, 432, 624, 410, 602, 397, 589, 389, 581)(386, 578, 390, 582, 398, 590, 411, 603, 434, 626, 473, 665, 529, 721, 486, 678, 442, 634, 416, 608, 400, 592, 391, 583)(388, 580, 395, 587, 406, 598, 425, 617, 458, 650, 511, 703, 546, 738, 492, 684, 446, 638, 418, 610, 401, 593, 392, 584)(394, 586, 405, 597, 424, 616, 455, 647, 506, 698, 469, 661, 524, 716, 512, 704, 496, 688, 448, 640, 419, 611, 402, 594)(396, 588, 407, 599, 427, 619, 461, 653, 516, 708, 485, 677, 500, 692, 452, 644, 502, 694, 464, 656, 428, 620, 408, 600)(399, 591, 413, 605, 437, 629, 477, 669, 534, 726, 491, 683, 528, 720, 474, 666, 530, 722, 480, 672, 438, 630, 414, 606)(404, 596, 423, 615, 454, 646, 504, 696, 468, 660, 431, 623, 467, 659, 523, 715, 553, 745, 498, 690, 449, 641, 420, 612)(409, 601, 429, 621, 465, 657, 521, 713, 555, 747, 499, 691, 450, 642, 422, 614, 453, 645, 503, 695, 466, 658, 430, 622)(412, 604, 436, 628, 476, 668, 532, 724, 484, 676, 441, 633, 483, 675, 540, 732, 567, 759, 526, 718, 471, 663, 433, 625)(415, 607, 439, 631, 481, 673, 538, 730, 569, 761, 527, 719, 472, 664, 435, 627, 475, 667, 531, 723, 482, 674, 440, 632)(417, 609, 443, 635, 487, 679, 541, 733, 572, 764, 550, 742, 510, 702, 459, 651, 513, 705, 543, 735, 488, 680, 444, 636)(426, 618, 460, 652, 514, 706, 545, 737, 490, 682, 445, 637, 489, 681, 544, 736, 573, 765, 561, 753, 509, 701, 457, 649)(447, 639, 493, 685, 547, 739, 537, 729, 568, 760, 575, 767, 558, 750, 507, 699, 559, 751, 533, 725, 478, 670, 494, 686)(456, 648, 508, 700, 463, 655, 519, 711, 549, 741, 495, 687, 548, 740, 574, 766, 563, 755, 517, 709, 557, 749, 505, 697)(462, 654, 518, 710, 479, 671, 536, 728, 564, 756, 520, 712, 554, 746, 576, 768, 571, 763, 535, 727, 562, 754, 515, 707)(497, 689, 551, 743, 539, 731, 570, 762, 560, 752, 565, 757, 522, 714, 556, 748, 525, 717, 566, 758, 542, 734, 552, 744)
	L = (1, 387)(2, 390)(3, 393)(4, 395)(5, 385)(6, 398)(7, 386)(8, 388)(9, 403)(10, 405)(11, 406)(12, 407)(13, 389)(14, 411)(15, 413)(16, 391)(17, 392)(18, 394)(19, 421)(20, 423)(21, 424)(22, 425)(23, 427)(24, 396)(25, 429)(26, 397)(27, 434)(28, 436)(29, 437)(30, 399)(31, 439)(32, 400)(33, 443)(34, 401)(35, 402)(36, 404)(37, 451)(38, 453)(39, 454)(40, 455)(41, 458)(42, 460)(43, 461)(44, 408)(45, 465)(46, 409)(47, 467)(48, 410)(49, 412)(50, 473)(51, 475)(52, 476)(53, 477)(54, 414)(55, 481)(56, 415)(57, 483)(58, 416)(59, 487)(60, 417)(61, 489)(62, 418)(63, 493)(64, 419)(65, 420)(66, 422)(67, 501)(68, 502)(69, 503)(70, 504)(71, 506)(72, 508)(73, 426)(74, 511)(75, 513)(76, 514)(77, 516)(78, 518)(79, 519)(80, 428)(81, 521)(82, 430)(83, 523)(84, 431)(85, 524)(86, 432)(87, 433)(88, 435)(89, 529)(90, 530)(91, 531)(92, 532)(93, 534)(94, 494)(95, 536)(96, 438)(97, 538)(98, 440)(99, 540)(100, 441)(101, 500)(102, 442)(103, 541)(104, 444)(105, 544)(106, 445)(107, 528)(108, 446)(109, 547)(110, 447)(111, 548)(112, 448)(113, 551)(114, 449)(115, 450)(116, 452)(117, 470)(118, 464)(119, 466)(120, 468)(121, 456)(122, 469)(123, 559)(124, 463)(125, 457)(126, 459)(127, 546)(128, 496)(129, 543)(130, 545)(131, 462)(132, 485)(133, 557)(134, 479)(135, 549)(136, 554)(137, 555)(138, 556)(139, 553)(140, 512)(141, 566)(142, 471)(143, 472)(144, 474)(145, 486)(146, 480)(147, 482)(148, 484)(149, 478)(150, 491)(151, 562)(152, 564)(153, 568)(154, 569)(155, 570)(156, 567)(157, 572)(158, 552)(159, 488)(160, 573)(161, 490)(162, 492)(163, 537)(164, 574)(165, 495)(166, 510)(167, 539)(168, 497)(169, 498)(170, 576)(171, 499)(172, 525)(173, 505)(174, 507)(175, 533)(176, 565)(177, 509)(178, 515)(179, 517)(180, 520)(181, 522)(182, 542)(183, 526)(184, 575)(185, 527)(186, 560)(187, 535)(188, 550)(189, 561)(190, 563)(191, 558)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.1034
Graph:: bipartite
	v = 80 e = 384 f = 288
	degree seq :: [ 6^64, 24^16 ]

E9.1034 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^3, (Y3^-4 * Y2 * Y3^-2)^2, Y3^3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 400, 592)(394, 586, 403, 595)(396, 588, 406, 598)(398, 590, 409, 601)(399, 591, 411, 603)(401, 593, 414, 606)(402, 594, 416, 608)(404, 596, 419, 611)(405, 597, 421, 613)(407, 599, 424, 616)(408, 600, 426, 618)(410, 602, 429, 621)(412, 604, 432, 624)(413, 605, 434, 626)(415, 607, 437, 629)(417, 609, 440, 632)(418, 610, 442, 634)(420, 612, 445, 637)(422, 614, 448, 640)(423, 615, 450, 642)(425, 617, 453, 645)(427, 619, 456, 648)(428, 620, 458, 650)(430, 622, 461, 653)(431, 623, 463, 655)(433, 625, 466, 658)(435, 627, 469, 661)(436, 628, 471, 663)(438, 630, 474, 666)(439, 631, 476, 668)(441, 633, 479, 671)(443, 635, 482, 674)(444, 636, 484, 676)(446, 638, 487, 679)(447, 639, 488, 680)(449, 641, 491, 683)(451, 643, 494, 686)(452, 644, 496, 688)(454, 646, 499, 691)(455, 647, 501, 693)(457, 649, 504, 696)(459, 651, 507, 699)(460, 652, 509, 701)(462, 654, 512, 704)(464, 656, 514, 706)(465, 657, 516, 708)(467, 659, 498, 690)(468, 660, 519, 711)(470, 662, 522, 714)(472, 664, 525, 717)(473, 665, 492, 684)(475, 667, 500, 692)(477, 669, 529, 721)(478, 670, 530, 722)(480, 672, 511, 703)(481, 673, 533, 725)(483, 675, 535, 727)(485, 677, 536, 728)(486, 678, 505, 697)(489, 681, 538, 730)(490, 682, 540, 732)(493, 685, 543, 735)(495, 687, 546, 738)(497, 689, 549, 741)(502, 694, 553, 745)(503, 695, 554, 746)(506, 698, 557, 749)(508, 700, 559, 751)(510, 702, 560, 752)(513, 705, 537, 729)(515, 707, 562, 754)(517, 709, 545, 737)(518, 710, 551, 743)(520, 712, 544, 736)(521, 713, 541, 733)(523, 715, 556, 748)(524, 716, 567, 759)(526, 718, 550, 742)(527, 719, 542, 734)(528, 720, 552, 744)(531, 723, 558, 750)(532, 724, 547, 739)(534, 726, 555, 747)(539, 731, 570, 762)(548, 740, 575, 767)(561, 753, 576, 768)(563, 755, 573, 765)(564, 756, 572, 764)(565, 757, 571, 763)(566, 758, 574, 766)(568, 760, 569, 761)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 397)(8, 401)(9, 402)(10, 388)(11, 393)(12, 407)(13, 408)(14, 390)(15, 391)(16, 411)(17, 415)(18, 417)(19, 418)(20, 394)(21, 395)(22, 421)(23, 425)(24, 427)(25, 428)(26, 398)(27, 431)(28, 399)(29, 400)(30, 434)(31, 438)(32, 403)(33, 441)(34, 443)(35, 444)(36, 404)(37, 447)(38, 405)(39, 406)(40, 450)(41, 454)(42, 409)(43, 457)(44, 459)(45, 460)(46, 410)(47, 464)(48, 465)(49, 412)(50, 468)(51, 413)(52, 414)(53, 471)(54, 475)(55, 416)(56, 476)(57, 480)(58, 419)(59, 483)(60, 485)(61, 486)(62, 420)(63, 489)(64, 490)(65, 422)(66, 493)(67, 423)(68, 424)(69, 496)(70, 500)(71, 426)(72, 501)(73, 505)(74, 429)(75, 508)(76, 510)(77, 511)(78, 430)(79, 432)(80, 515)(81, 517)(82, 518)(83, 433)(84, 520)(85, 521)(86, 435)(87, 524)(88, 436)(89, 437)(90, 492)(91, 446)(92, 528)(93, 439)(94, 440)(95, 530)(96, 512)(97, 442)(98, 533)(99, 527)(100, 445)(101, 526)(102, 523)(103, 499)(104, 448)(105, 539)(106, 541)(107, 542)(108, 449)(109, 544)(110, 545)(111, 451)(112, 548)(113, 452)(114, 453)(115, 467)(116, 462)(117, 552)(118, 455)(119, 456)(120, 554)(121, 487)(122, 458)(123, 557)(124, 551)(125, 461)(126, 550)(127, 547)(128, 474)(129, 463)(130, 537)(131, 484)(132, 466)(133, 546)(134, 564)(135, 469)(136, 481)(137, 565)(138, 566)(139, 470)(140, 477)(141, 560)(142, 472)(143, 473)(144, 553)(145, 563)(146, 561)(147, 478)(148, 479)(149, 543)(150, 482)(151, 555)(152, 562)(153, 488)(154, 513)(155, 509)(156, 491)(157, 522)(158, 572)(159, 494)(160, 506)(161, 573)(162, 574)(163, 495)(164, 502)(165, 536)(166, 497)(167, 498)(168, 529)(169, 571)(170, 569)(171, 503)(172, 504)(173, 519)(174, 507)(175, 531)(176, 570)(177, 514)(178, 576)(179, 516)(180, 535)(181, 575)(182, 532)(183, 525)(184, 534)(185, 538)(186, 568)(187, 540)(188, 559)(189, 567)(190, 556)(191, 549)(192, 558)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.1033
Graph:: simple bipartite
	v = 288 e = 384 f = 80
	degree seq :: [ 2^192, 4^96 ]

E9.1035 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^3, Y1^12, (Y3 * Y1^4 * Y3 * Y1^-1)^2, (Y3 * Y1^-6)^2, Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-3 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 21, 213, 37, 229, 63, 255, 62, 254, 36, 228, 20, 212, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 27, 219, 47, 239, 79, 271, 104, 296, 91, 283, 54, 246, 31, 223, 17, 209, 8, 200)(6, 198, 13, 205, 25, 217, 43, 235, 73, 265, 119, 311, 103, 295, 128, 320, 78, 270, 46, 238, 26, 218, 14, 206)(9, 201, 18, 210, 32, 224, 55, 247, 92, 284, 106, 298, 64, 256, 105, 297, 86, 278, 51, 243, 29, 221, 16, 208)(12, 204, 23, 215, 41, 233, 69, 261, 113, 305, 101, 293, 61, 253, 102, 294, 118, 310, 72, 264, 42, 234, 24, 216)(19, 211, 34, 226, 58, 250, 97, 289, 108, 300, 66, 258, 38, 230, 65, 257, 107, 299, 96, 288, 57, 249, 33, 225)(22, 214, 39, 231, 67, 259, 109, 301, 99, 291, 59, 251, 35, 227, 60, 252, 100, 292, 112, 304, 68, 260, 40, 232)(28, 220, 49, 241, 83, 275, 132, 324, 179, 371, 142, 334, 90, 282, 143, 335, 180, 372, 135, 327, 84, 276, 50, 242)(30, 222, 52, 244, 87, 279, 138, 330, 176, 368, 127, 319, 80, 272, 129, 321, 171, 363, 123, 315, 75, 267, 44, 236)(45, 237, 76, 268, 124, 316, 172, 364, 192, 384, 166, 358, 120, 312, 167, 359, 189, 381, 162, 354, 115, 307, 70, 262)(48, 240, 81, 273, 130, 322, 155, 347, 140, 332, 88, 280, 53, 245, 89, 281, 141, 333, 158, 350, 131, 323, 82, 274)(56, 248, 94, 286, 146, 338, 170, 362, 191, 383, 181, 373, 137, 329, 154, 346, 186, 378, 182, 374, 147, 339, 95, 287)(71, 263, 116, 308, 163, 355, 190, 382, 178, 370, 152, 344, 159, 351, 188, 380, 183, 375, 139, 331, 156, 348, 110, 302)(74, 266, 121, 313, 168, 360, 148, 340, 174, 366, 125, 317, 77, 269, 126, 318, 175, 367, 149, 341, 169, 361, 122, 314)(85, 277, 136, 328, 164, 356, 117, 309, 165, 357, 145, 337, 93, 285, 144, 336, 161, 353, 114, 306, 160, 352, 133, 325)(98, 290, 150, 342, 177, 369, 134, 326, 173, 365, 185, 377, 153, 345, 111, 303, 157, 349, 187, 379, 184, 376, 151, 343)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 397)(9, 388)(10, 403)(11, 406)(12, 389)(13, 392)(14, 407)(15, 412)(16, 391)(17, 414)(18, 417)(19, 394)(20, 419)(21, 422)(22, 395)(23, 398)(24, 423)(25, 428)(26, 429)(27, 432)(28, 399)(29, 433)(30, 401)(31, 437)(32, 440)(33, 402)(34, 443)(35, 404)(36, 445)(37, 448)(38, 405)(39, 408)(40, 449)(41, 454)(42, 455)(43, 458)(44, 409)(45, 410)(46, 461)(47, 464)(48, 411)(49, 413)(50, 465)(51, 469)(52, 472)(53, 415)(54, 474)(55, 477)(56, 416)(57, 478)(58, 482)(59, 418)(60, 485)(61, 420)(62, 487)(63, 488)(64, 421)(65, 424)(66, 489)(67, 494)(68, 495)(69, 498)(70, 425)(71, 426)(72, 501)(73, 504)(74, 427)(75, 505)(76, 509)(77, 430)(78, 511)(79, 512)(80, 431)(81, 434)(82, 513)(83, 517)(84, 518)(85, 435)(86, 521)(87, 523)(88, 436)(89, 526)(90, 438)(91, 490)(92, 527)(93, 439)(94, 441)(95, 528)(96, 532)(97, 533)(98, 442)(99, 534)(100, 536)(101, 444)(102, 503)(103, 446)(104, 447)(105, 450)(106, 475)(107, 537)(108, 538)(109, 539)(110, 451)(111, 452)(112, 542)(113, 543)(114, 453)(115, 544)(116, 548)(117, 456)(118, 550)(119, 486)(120, 457)(121, 459)(122, 551)(123, 554)(124, 557)(125, 460)(126, 560)(127, 462)(128, 463)(129, 466)(130, 561)(131, 562)(132, 546)(133, 467)(134, 468)(135, 556)(136, 565)(137, 470)(138, 566)(139, 471)(140, 540)(141, 541)(142, 473)(143, 476)(144, 479)(145, 564)(146, 552)(147, 567)(148, 480)(149, 481)(150, 483)(151, 553)(152, 484)(153, 491)(154, 492)(155, 493)(156, 524)(157, 525)(158, 496)(159, 497)(160, 499)(161, 572)(162, 516)(163, 575)(164, 500)(165, 576)(166, 502)(167, 506)(168, 530)(169, 535)(170, 507)(171, 574)(172, 519)(173, 508)(174, 569)(175, 570)(176, 510)(177, 514)(178, 515)(179, 571)(180, 529)(181, 520)(182, 522)(183, 531)(184, 573)(185, 558)(186, 559)(187, 563)(188, 545)(189, 568)(190, 555)(191, 547)(192, 549)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 6 ), ( 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 E9.1032
Graph:: simple bipartite
	v = 208 e = 384 f = 160
	degree seq :: [ 2^192, 24^16 ]

E9.1036 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, (R * Y2^4 * Y1)^2, Y2^12, Y2^-3 * Y1 * Y2^6 * Y1 * Y2^-3, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^-2 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 16, 208)(10, 202, 19, 211)(12, 204, 22, 214)(14, 206, 25, 217)(15, 207, 27, 219)(17, 209, 30, 222)(18, 210, 32, 224)(20, 212, 35, 227)(21, 213, 37, 229)(23, 215, 40, 232)(24, 216, 42, 234)(26, 218, 45, 237)(28, 220, 48, 240)(29, 221, 50, 242)(31, 223, 53, 245)(33, 225, 56, 248)(34, 226, 58, 250)(36, 228, 61, 253)(38, 230, 64, 256)(39, 231, 66, 258)(41, 233, 69, 261)(43, 235, 72, 264)(44, 236, 74, 266)(46, 238, 77, 269)(47, 239, 79, 271)(49, 241, 82, 274)(51, 243, 85, 277)(52, 244, 87, 279)(54, 246, 90, 282)(55, 247, 92, 284)(57, 249, 95, 287)(59, 251, 98, 290)(60, 252, 100, 292)(62, 254, 103, 295)(63, 255, 104, 296)(65, 257, 107, 299)(67, 259, 110, 302)(68, 260, 112, 304)(70, 262, 115, 307)(71, 263, 117, 309)(73, 265, 120, 312)(75, 267, 123, 315)(76, 268, 125, 317)(78, 270, 128, 320)(80, 272, 130, 322)(81, 273, 132, 324)(83, 275, 114, 306)(84, 276, 135, 327)(86, 278, 138, 330)(88, 280, 141, 333)(89, 281, 108, 300)(91, 283, 116, 308)(93, 285, 145, 337)(94, 286, 146, 338)(96, 288, 127, 319)(97, 289, 149, 341)(99, 291, 151, 343)(101, 293, 152, 344)(102, 294, 121, 313)(105, 297, 154, 346)(106, 298, 156, 348)(109, 301, 159, 351)(111, 303, 162, 354)(113, 305, 165, 357)(118, 310, 169, 361)(119, 311, 170, 362)(122, 314, 173, 365)(124, 316, 175, 367)(126, 318, 176, 368)(129, 321, 153, 345)(131, 323, 178, 370)(133, 325, 161, 353)(134, 326, 167, 359)(136, 328, 160, 352)(137, 329, 157, 349)(139, 331, 172, 364)(140, 332, 183, 375)(142, 334, 166, 358)(143, 335, 158, 350)(144, 336, 168, 360)(147, 339, 174, 366)(148, 340, 163, 355)(150, 342, 171, 363)(155, 347, 186, 378)(164, 356, 191, 383)(177, 369, 192, 384)(179, 371, 189, 381)(180, 372, 188, 380)(181, 373, 187, 379)(182, 374, 190, 382)(184, 376, 185, 377)(385, 577, 387, 579, 392, 584, 401, 593, 415, 607, 438, 630, 475, 667, 446, 638, 420, 612, 404, 596, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 407, 599, 425, 617, 454, 646, 500, 692, 462, 654, 430, 622, 410, 602, 398, 590, 390, 582)(391, 583, 397, 589, 408, 600, 427, 619, 457, 649, 505, 697, 487, 679, 499, 691, 467, 659, 433, 625, 412, 604, 399, 591)(393, 585, 402, 594, 417, 609, 441, 633, 480, 672, 512, 704, 474, 666, 492, 684, 449, 641, 422, 614, 405, 597, 395, 587)(400, 592, 411, 603, 431, 623, 464, 656, 515, 707, 484, 676, 445, 637, 486, 678, 523, 715, 470, 662, 435, 627, 413, 605)(403, 595, 418, 610, 443, 635, 483, 675, 527, 719, 473, 665, 437, 629, 471, 663, 524, 716, 477, 669, 439, 631, 416, 608)(406, 598, 421, 613, 447, 639, 489, 681, 539, 731, 509, 701, 461, 653, 511, 703, 547, 739, 495, 687, 451, 643, 423, 615)(409, 601, 428, 620, 459, 651, 508, 700, 551, 743, 498, 690, 453, 645, 496, 688, 548, 740, 502, 694, 455, 647, 426, 618)(414, 606, 434, 626, 468, 660, 520, 712, 481, 673, 442, 634, 419, 611, 444, 636, 485, 677, 526, 718, 472, 664, 436, 628)(424, 616, 450, 642, 493, 685, 544, 736, 506, 698, 458, 650, 429, 621, 460, 652, 510, 702, 550, 742, 497, 689, 452, 644)(432, 624, 465, 657, 517, 709, 546, 738, 574, 766, 556, 748, 504, 696, 554, 746, 569, 761, 538, 730, 513, 705, 463, 655)(440, 632, 476, 668, 528, 720, 553, 745, 571, 763, 540, 732, 491, 683, 542, 734, 572, 764, 559, 751, 531, 723, 478, 670)(448, 640, 490, 682, 541, 733, 522, 714, 566, 758, 532, 724, 479, 671, 530, 722, 561, 753, 514, 706, 537, 729, 488, 680)(456, 648, 501, 693, 552, 744, 529, 721, 563, 755, 516, 708, 466, 658, 518, 710, 564, 756, 535, 727, 555, 747, 503, 695)(469, 661, 521, 713, 565, 757, 575, 767, 549, 741, 536, 728, 562, 754, 576, 768, 558, 750, 507, 699, 557, 749, 519, 711)(482, 674, 533, 725, 543, 735, 494, 686, 545, 737, 573, 765, 567, 759, 525, 717, 560, 752, 570, 762, 568, 760, 534, 726)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 400)(9, 388)(10, 403)(11, 389)(12, 406)(13, 390)(14, 409)(15, 411)(16, 392)(17, 414)(18, 416)(19, 394)(20, 419)(21, 421)(22, 396)(23, 424)(24, 426)(25, 398)(26, 429)(27, 399)(28, 432)(29, 434)(30, 401)(31, 437)(32, 402)(33, 440)(34, 442)(35, 404)(36, 445)(37, 405)(38, 448)(39, 450)(40, 407)(41, 453)(42, 408)(43, 456)(44, 458)(45, 410)(46, 461)(47, 463)(48, 412)(49, 466)(50, 413)(51, 469)(52, 471)(53, 415)(54, 474)(55, 476)(56, 417)(57, 479)(58, 418)(59, 482)(60, 484)(61, 420)(62, 487)(63, 488)(64, 422)(65, 491)(66, 423)(67, 494)(68, 496)(69, 425)(70, 499)(71, 501)(72, 427)(73, 504)(74, 428)(75, 507)(76, 509)(77, 430)(78, 512)(79, 431)(80, 514)(81, 516)(82, 433)(83, 498)(84, 519)(85, 435)(86, 522)(87, 436)(88, 525)(89, 492)(90, 438)(91, 500)(92, 439)(93, 529)(94, 530)(95, 441)(96, 511)(97, 533)(98, 443)(99, 535)(100, 444)(101, 536)(102, 505)(103, 446)(104, 447)(105, 538)(106, 540)(107, 449)(108, 473)(109, 543)(110, 451)(111, 546)(112, 452)(113, 549)(114, 467)(115, 454)(116, 475)(117, 455)(118, 553)(119, 554)(120, 457)(121, 486)(122, 557)(123, 459)(124, 559)(125, 460)(126, 560)(127, 480)(128, 462)(129, 537)(130, 464)(131, 562)(132, 465)(133, 545)(134, 551)(135, 468)(136, 544)(137, 541)(138, 470)(139, 556)(140, 567)(141, 472)(142, 550)(143, 542)(144, 552)(145, 477)(146, 478)(147, 558)(148, 547)(149, 481)(150, 555)(151, 483)(152, 485)(153, 513)(154, 489)(155, 570)(156, 490)(157, 521)(158, 527)(159, 493)(160, 520)(161, 517)(162, 495)(163, 532)(164, 575)(165, 497)(166, 526)(167, 518)(168, 528)(169, 502)(170, 503)(171, 534)(172, 523)(173, 506)(174, 531)(175, 508)(176, 510)(177, 576)(178, 515)(179, 573)(180, 572)(181, 571)(182, 574)(183, 524)(184, 569)(185, 568)(186, 539)(187, 565)(188, 564)(189, 563)(190, 566)(191, 548)(192, 561)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 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 E9.1037
Graph:: bipartite
	v = 112 e = 384 f = 256
	degree seq :: [ 4^96, 24^16 ]

E9.1037 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 194>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^3 * Y1^-1 * Y3^2)^2, (Y3^-1 * Y1 * Y3^-1)^4, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 193, 2, 194, 4, 196)(3, 195, 8, 200, 10, 202)(5, 197, 12, 204, 6, 198)(7, 199, 15, 207, 11, 203)(9, 201, 18, 210, 20, 212)(13, 205, 25, 217, 23, 215)(14, 206, 24, 216, 28, 220)(16, 208, 31, 223, 29, 221)(17, 209, 33, 225, 21, 213)(19, 211, 36, 228, 38, 230)(22, 214, 30, 222, 42, 234)(26, 218, 47, 239, 45, 237)(27, 219, 49, 241, 51, 243)(32, 224, 57, 249, 55, 247)(34, 226, 61, 253, 59, 251)(35, 227, 63, 255, 39, 231)(37, 229, 66, 258, 68, 260)(40, 232, 60, 252, 72, 264)(41, 233, 73, 265, 75, 267)(43, 235, 46, 238, 78, 270)(44, 236, 79, 271, 52, 244)(48, 240, 85, 277, 83, 275)(50, 242, 88, 280, 90, 282)(53, 245, 56, 248, 94, 286)(54, 246, 95, 287, 76, 268)(58, 250, 101, 293, 99, 291)(62, 254, 107, 299, 105, 297)(64, 256, 111, 303, 109, 301)(65, 257, 113, 305, 69, 261)(67, 259, 116, 308, 102, 294)(70, 262, 110, 302, 98, 290)(71, 263, 121, 313, 123, 315)(74, 266, 126, 318, 128, 320)(77, 269, 131, 323, 133, 325)(80, 272, 136, 328, 135, 327)(81, 273, 84, 276, 138, 330)(82, 274, 130, 322, 134, 326)(86, 278, 127, 319, 140, 332)(87, 279, 141, 333, 91, 283)(89, 281, 144, 336, 108, 300)(92, 284, 124, 316, 104, 296)(93, 285, 149, 341, 151, 343)(96, 288, 153, 345, 152, 344)(97, 289, 100, 292, 155, 347)(103, 295, 106, 298, 158, 350)(112, 304, 166, 358, 164, 356)(114, 306, 154, 346, 167, 359)(115, 307, 170, 362, 118, 310)(117, 309, 145, 337, 162, 354)(119, 311, 168, 360, 161, 353)(120, 312, 147, 339, 172, 364)(122, 314, 174, 366, 139, 331)(125, 317, 176, 368, 129, 321)(132, 324, 179, 371, 156, 348)(137, 329, 181, 373, 177, 369)(142, 334, 157, 349, 182, 374)(143, 335, 184, 376, 146, 338)(148, 340, 159, 351, 186, 378)(150, 342, 187, 379, 160, 352)(163, 355, 165, 357, 180, 372)(169, 361, 191, 383, 185, 377)(171, 363, 189, 381, 192, 384)(173, 365, 178, 370, 175, 367)(183, 375, 190, 382, 188, 380)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 393)(4, 395)(5, 385)(6, 398)(7, 386)(8, 388)(9, 403)(10, 405)(11, 406)(12, 407)(13, 389)(14, 411)(15, 413)(16, 391)(17, 392)(18, 394)(19, 421)(20, 423)(21, 424)(22, 425)(23, 427)(24, 396)(25, 429)(26, 397)(27, 434)(28, 436)(29, 437)(30, 399)(31, 439)(32, 400)(33, 443)(34, 401)(35, 402)(36, 404)(37, 451)(38, 453)(39, 454)(40, 455)(41, 458)(42, 460)(43, 461)(44, 408)(45, 465)(46, 409)(47, 467)(48, 410)(49, 412)(50, 473)(51, 475)(52, 476)(53, 477)(54, 414)(55, 481)(56, 415)(57, 483)(58, 416)(59, 487)(60, 417)(61, 489)(62, 418)(63, 493)(64, 419)(65, 420)(66, 422)(67, 501)(68, 502)(69, 503)(70, 504)(71, 506)(72, 508)(73, 426)(74, 511)(75, 513)(76, 514)(77, 516)(78, 518)(79, 519)(80, 428)(81, 521)(82, 430)(83, 523)(84, 431)(85, 524)(86, 432)(87, 433)(88, 435)(89, 529)(90, 530)(91, 531)(92, 532)(93, 534)(94, 494)(95, 536)(96, 438)(97, 538)(98, 440)(99, 540)(100, 441)(101, 500)(102, 442)(103, 541)(104, 444)(105, 544)(106, 445)(107, 528)(108, 446)(109, 547)(110, 447)(111, 548)(112, 448)(113, 551)(114, 449)(115, 450)(116, 452)(117, 470)(118, 464)(119, 466)(120, 468)(121, 456)(122, 469)(123, 559)(124, 463)(125, 457)(126, 459)(127, 546)(128, 496)(129, 543)(130, 545)(131, 462)(132, 485)(133, 557)(134, 479)(135, 549)(136, 554)(137, 555)(138, 556)(139, 553)(140, 512)(141, 566)(142, 471)(143, 472)(144, 474)(145, 486)(146, 480)(147, 482)(148, 484)(149, 478)(150, 491)(151, 562)(152, 564)(153, 568)(154, 569)(155, 570)(156, 567)(157, 572)(158, 552)(159, 488)(160, 573)(161, 490)(162, 492)(163, 537)(164, 574)(165, 495)(166, 510)(167, 539)(168, 497)(169, 498)(170, 576)(171, 499)(172, 525)(173, 505)(174, 507)(175, 533)(176, 565)(177, 509)(178, 515)(179, 517)(180, 520)(181, 522)(182, 542)(183, 526)(184, 575)(185, 527)(186, 560)(187, 535)(188, 550)(189, 561)(190, 563)(191, 558)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E9.1036
Graph:: simple bipartite
	v = 256 e = 384 f = 112
	degree seq :: [ 2^192, 6^64 ]

E9.1038 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 5})
Quotient :: regular
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^5, (T2 * T1)^4, (T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1)^2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 32, 34, 19)(11, 21, 37, 40, 22)(15, 28, 47, 49, 29)(16, 30, 50, 42, 24)(20, 35, 58, 60, 36)(25, 43, 68, 62, 38)(27, 45, 72, 75, 46)(31, 52, 82, 84, 53)(33, 55, 87, 89, 56)(39, 63, 98, 93, 59)(41, 65, 102, 105, 66)(44, 70, 110, 112, 71)(48, 77, 119, 114, 73)(51, 80, 125, 127, 81)(54, 85, 131, 134, 86)(57, 90, 138, 140, 91)(61, 95, 146, 149, 96)(64, 100, 154, 156, 101)(67, 106, 161, 158, 103)(69, 108, 165, 167, 109)(74, 115, 151, 129, 83)(76, 117, 175, 177, 118)(78, 121, 155, 148, 122)(79, 123, 182, 185, 124)(88, 136, 197, 194, 132)(92, 141, 201, 203, 142)(94, 144, 205, 206, 145)(97, 150, 210, 208, 147)(99, 152, 212, 214, 153)(104, 159, 137, 169, 111)(107, 163, 139, 133, 164)(113, 171, 231, 230, 170)(116, 168, 228, 236, 174)(120, 179, 241, 243, 180)(126, 187, 227, 245, 183)(128, 189, 249, 251, 190)(130, 192, 252, 253, 193)(135, 195, 255, 257, 196)(143, 204, 264, 263, 202)(157, 217, 277, 276, 216)(160, 215, 275, 281, 220)(162, 184, 240, 178, 222)(166, 226, 274, 284, 223)(172, 233, 272, 290, 232)(173, 234, 270, 292, 235)(176, 238, 188, 244, 181)(186, 246, 300, 301, 247)(191, 213, 273, 302, 250)(198, 219, 280, 306, 258)(199, 259, 291, 297, 260)(200, 261, 307, 308, 262)(207, 267, 310, 309, 266)(209, 265, 299, 312, 269)(211, 224, 282, 221, 271)(218, 279, 305, 316, 278)(225, 285, 303, 254, 286)(229, 256, 296, 239, 288)(237, 294, 311, 268, 293)(242, 298, 317, 313, 283)(248, 295, 318, 314, 287)(289, 315, 320, 319, 304)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 33)(19, 28)(21, 38)(22, 39)(23, 41)(26, 44)(29, 48)(30, 51)(32, 54)(34, 57)(35, 59)(36, 55)(37, 61)(40, 64)(42, 67)(43, 69)(45, 73)(46, 74)(47, 76)(49, 78)(50, 79)(52, 83)(53, 80)(56, 88)(58, 92)(60, 94)(62, 97)(63, 99)(65, 103)(66, 104)(68, 107)(70, 111)(71, 108)(72, 113)(75, 116)(77, 120)(81, 126)(82, 128)(84, 130)(85, 132)(86, 133)(87, 135)(89, 137)(90, 139)(91, 117)(93, 143)(95, 147)(96, 148)(98, 151)(100, 155)(101, 152)(102, 157)(105, 160)(106, 162)(109, 166)(110, 168)(112, 170)(114, 172)(115, 173)(118, 176)(119, 178)(121, 181)(122, 179)(123, 183)(124, 184)(125, 186)(127, 188)(129, 191)(131, 192)(134, 190)(136, 198)(138, 199)(140, 200)(141, 202)(142, 185)(144, 182)(145, 195)(146, 207)(149, 209)(150, 211)(153, 213)(154, 215)(156, 216)(158, 218)(159, 219)(161, 221)(163, 223)(164, 224)(165, 225)(167, 227)(169, 229)(171, 232)(174, 234)(175, 237)(177, 239)(180, 242)(187, 248)(189, 250)(193, 246)(194, 254)(196, 256)(197, 243)(201, 261)(203, 260)(204, 235)(205, 265)(206, 266)(208, 268)(210, 270)(212, 272)(214, 274)(217, 278)(220, 280)(222, 283)(226, 287)(228, 288)(230, 285)(231, 289)(233, 291)(236, 293)(238, 295)(240, 297)(241, 269)(244, 275)(245, 299)(247, 281)(249, 279)(251, 282)(252, 303)(253, 304)(255, 305)(257, 302)(258, 298)(259, 284)(262, 294)(263, 301)(264, 306)(267, 311)(271, 313)(273, 314)(276, 290)(277, 315)(286, 312)(292, 317)(296, 318)(300, 307)(308, 319)(309, 316)(310, 320)
	local type(s) :: { ( 4^5 ) }
Outer automorphisms :: reflexible
Dual of E9.1039
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 160 f = 80
	degree seq :: [ 5^64 ]

E9.1039 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 5})
Quotient :: regular
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2)^5, (T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2, T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 57, 36)(22, 37, 59, 38)(23, 39, 61, 40)(29, 47, 73, 48)(30, 49, 65, 42)(32, 51, 78, 52)(33, 53, 80, 54)(34, 55, 82, 56)(43, 66, 99, 67)(45, 69, 103, 70)(46, 71, 105, 72)(50, 76, 113, 77)(58, 86, 129, 87)(60, 89, 133, 90)(62, 92, 137, 93)(63, 94, 139, 95)(64, 96, 141, 97)(68, 101, 149, 102)(74, 109, 162, 110)(75, 111, 164, 112)(79, 117, 173, 118)(81, 120, 177, 121)(83, 123, 181, 124)(84, 125, 183, 126)(85, 127, 185, 128)(88, 131, 191, 132)(91, 135, 197, 136)(98, 144, 209, 145)(100, 147, 178, 148)(104, 153, 174, 154)(106, 156, 222, 157)(107, 158, 224, 159)(108, 160, 225, 161)(114, 167, 230, 168)(115, 169, 232, 170)(116, 171, 234, 172)(119, 175, 238, 176)(122, 179, 242, 180)(130, 189, 165, 190)(134, 195, 163, 196)(138, 201, 265, 202)(140, 204, 257, 194)(142, 206, 235, 193)(143, 207, 239, 208)(146, 211, 246, 182)(150, 214, 236, 215)(151, 216, 240, 186)(152, 217, 277, 218)(155, 220, 279, 221)(166, 228, 285, 229)(184, 248, 295, 241)(187, 250, 210, 251)(188, 252, 289, 231)(192, 255, 226, 256)(198, 260, 292, 261)(199, 262, 294, 263)(200, 245, 288, 264)(203, 247, 290, 266)(205, 267, 286, 268)(212, 272, 219, 273)(213, 274, 287, 275)(223, 237, 293, 282)(227, 233, 291, 284)(243, 297, 283, 298)(244, 299, 270, 300)(249, 301, 280, 302)(253, 305, 258, 306)(254, 307, 281, 308)(259, 296, 316, 311)(269, 304, 319, 310)(271, 313, 278, 309)(276, 312, 320, 315)(303, 317, 314, 318)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 35)(28, 46)(31, 50)(36, 58)(37, 60)(38, 51)(39, 62)(40, 63)(41, 64)(44, 68)(47, 54)(48, 74)(49, 75)(52, 79)(53, 81)(55, 83)(56, 84)(57, 85)(59, 88)(61, 91)(65, 98)(66, 100)(67, 92)(69, 95)(70, 104)(71, 106)(72, 107)(73, 108)(76, 114)(77, 115)(78, 116)(80, 119)(82, 122)(86, 130)(87, 123)(89, 126)(90, 134)(93, 138)(94, 140)(96, 142)(97, 143)(99, 146)(101, 150)(102, 151)(103, 152)(105, 155)(109, 163)(110, 156)(111, 159)(112, 165)(113, 166)(117, 174)(118, 167)(120, 170)(121, 178)(124, 182)(125, 184)(127, 186)(128, 187)(129, 188)(131, 192)(132, 193)(133, 194)(135, 198)(136, 199)(137, 200)(139, 203)(141, 205)(144, 210)(145, 206)(147, 208)(148, 212)(149, 213)(153, 219)(154, 214)(157, 223)(158, 217)(160, 216)(161, 226)(162, 201)(164, 227)(168, 231)(169, 233)(171, 235)(172, 236)(173, 237)(175, 239)(176, 240)(177, 241)(179, 243)(180, 244)(181, 245)(183, 247)(185, 249)(189, 251)(190, 253)(191, 254)(195, 258)(196, 255)(197, 259)(202, 260)(204, 263)(207, 269)(209, 270)(211, 271)(215, 276)(218, 278)(220, 280)(221, 281)(222, 264)(224, 266)(225, 283)(228, 286)(229, 287)(230, 288)(232, 290)(234, 292)(238, 294)(242, 296)(246, 297)(248, 300)(250, 303)(252, 304)(256, 309)(257, 310)(261, 299)(262, 301)(265, 312)(267, 308)(268, 289)(272, 314)(273, 313)(274, 291)(275, 298)(277, 307)(279, 311)(282, 302)(284, 315)(285, 316)(293, 317)(295, 318)(305, 320)(306, 319)
	local type(s) :: { ( 5^4 ) }
Outer automorphisms :: reflexible
Dual of E9.1038
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 80 e = 160 f = 64
	degree seq :: [ 4^80 ]

E9.1040 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1)^5, (T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 44, 27)(20, 34, 55, 35)(23, 38, 60, 39)(25, 41, 65, 42)(28, 46, 71, 47)(30, 49, 50, 31)(33, 52, 80, 53)(36, 57, 86, 58)(40, 62, 94, 63)(43, 66, 99, 67)(45, 69, 104, 70)(48, 73, 109, 74)(51, 77, 116, 78)(54, 81, 121, 82)(56, 84, 126, 85)(59, 88, 131, 89)(61, 91, 136, 92)(64, 96, 142, 97)(68, 101, 150, 102)(72, 106, 158, 107)(75, 111, 164, 112)(76, 113, 167, 114)(79, 118, 173, 119)(83, 123, 181, 124)(87, 128, 189, 129)(90, 133, 195, 134)(93, 137, 200, 138)(95, 140, 204, 141)(98, 144, 208, 145)(100, 147, 211, 148)(103, 152, 217, 153)(105, 155, 220, 156)(108, 159, 222, 160)(110, 162, 226, 163)(115, 168, 231, 169)(117, 171, 235, 172)(120, 175, 239, 176)(122, 178, 242, 179)(125, 183, 248, 184)(127, 186, 251, 187)(130, 190, 253, 191)(132, 193, 257, 194)(135, 197, 165, 198)(139, 201, 263, 202)(143, 205, 157, 206)(146, 209, 271, 210)(149, 212, 273, 213)(151, 215, 277, 216)(154, 218, 278, 219)(161, 224, 282, 225)(166, 228, 196, 229)(170, 232, 289, 233)(174, 236, 188, 237)(177, 240, 297, 241)(180, 243, 299, 244)(182, 246, 303, 247)(185, 249, 304, 250)(192, 255, 308, 256)(199, 260, 290, 261)(203, 265, 313, 266)(207, 268, 221, 269)(214, 274, 315, 275)(223, 272, 314, 280)(227, 276, 307, 284)(230, 286, 264, 287)(234, 291, 318, 292)(238, 294, 252, 295)(245, 300, 320, 301)(254, 298, 319, 306)(258, 302, 281, 310)(259, 311, 267, 312)(262, 296, 279, 309)(270, 305, 283, 288)(285, 316, 293, 317)(321, 322)(323, 327)(324, 329)(325, 330)(326, 332)(328, 335)(331, 340)(333, 343)(334, 345)(336, 348)(337, 350)(338, 351)(339, 353)(341, 356)(342, 358)(344, 360)(346, 363)(347, 365)(349, 368)(352, 371)(354, 374)(355, 376)(357, 379)(359, 381)(361, 384)(362, 386)(364, 388)(366, 390)(367, 392)(369, 395)(370, 396)(372, 399)(373, 401)(375, 403)(377, 405)(378, 407)(380, 410)(382, 413)(383, 415)(385, 418)(387, 420)(389, 423)(391, 425)(393, 428)(394, 430)(397, 435)(398, 437)(400, 440)(402, 442)(404, 445)(406, 447)(408, 450)(409, 452)(411, 455)(412, 457)(414, 459)(416, 461)(417, 463)(419, 466)(421, 469)(422, 471)(424, 474)(426, 477)(427, 479)(429, 481)(431, 483)(432, 485)(433, 486)(434, 488)(436, 490)(438, 492)(439, 494)(441, 497)(443, 500)(444, 502)(446, 505)(448, 508)(449, 510)(451, 512)(453, 514)(454, 516)(456, 519)(458, 496)(460, 523)(462, 504)(464, 527)(465, 489)(467, 509)(468, 532)(470, 534)(472, 536)(473, 493)(475, 513)(476, 541)(478, 498)(480, 543)(482, 506)(484, 547)(487, 550)(491, 554)(495, 558)(499, 563)(501, 565)(503, 567)(507, 572)(511, 574)(515, 578)(517, 548)(518, 579)(520, 560)(521, 582)(522, 584)(524, 569)(525, 587)(526, 588)(528, 590)(529, 551)(530, 573)(531, 592)(533, 581)(535, 596)(537, 586)(538, 555)(539, 577)(540, 599)(542, 561)(544, 601)(545, 603)(546, 570)(549, 605)(552, 608)(553, 610)(556, 613)(557, 614)(559, 616)(562, 618)(564, 607)(566, 622)(568, 612)(571, 625)(575, 627)(576, 629)(580, 611)(583, 620)(585, 606)(589, 615)(591, 619)(593, 617)(594, 609)(595, 628)(597, 624)(598, 623)(600, 630)(602, 621)(604, 626)(631, 639)(632, 638)(633, 637)(634, 636)(635, 640)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 10, 10 ), ( 10^4 ) }
Outer automorphisms :: reflexible
Dual of E9.1044
Transitivity :: ET+
Graph:: simple bipartite
	v = 240 e = 320 f = 64
	degree seq :: [ 2^160, 4^80 ]

E9.1041 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^4, T2^5, (T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-2)^2, T2^2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1^-2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * 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, 89, 87, 49)(32, 59, 101, 99, 57)(33, 60, 103, 106, 61)(36, 65, 111, 72, 40)(43, 50, 88, 130, 77)(44, 78, 131, 134, 79)(48, 85, 142, 140, 83)(53, 93, 154, 152, 91)(54, 94, 156, 159, 95)(58, 100, 165, 107, 62)(63, 108, 177, 180, 109)(67, 115, 188, 186, 113)(69, 118, 193, 191, 116)(70, 119, 195, 198, 120)(74, 125, 204, 202, 123)(75, 126, 206, 209, 127)(80, 84, 141, 217, 135)(82, 138, 218, 176, 136)(86, 144, 225, 228, 145)(90, 150, 231, 216, 148)(92, 153, 196, 160, 96)(97, 137, 166, 242, 161)(98, 162, 243, 246, 163)(102, 169, 251, 249, 167)(104, 172, 256, 254, 170)(105, 173, 258, 261, 174)(110, 114, 187, 139, 181)(112, 184, 211, 129, 182)(117, 192, 259, 199, 121)(122, 183, 147, 230, 200)(124, 203, 157, 210, 128)(132, 213, 286, 285, 212)(133, 214, 288, 289, 215)(143, 224, 260, 241, 222)(146, 149, 221, 248, 229)(151, 233, 294, 295, 234)(155, 236, 297, 296, 235)(158, 238, 219, 252, 239)(164, 168, 250, 185, 247)(171, 255, 207, 262, 175)(178, 264, 306, 305, 263)(179, 265, 307, 287, 266)(189, 271, 208, 280, 269)(190, 272, 309, 310, 273)(194, 275, 284, 311, 274)(197, 277, 267, 232, 278)(201, 281, 313, 314, 282)(205, 279, 276, 312, 283)(220, 223, 245, 301, 290)(226, 292, 315, 316, 291)(227, 293, 308, 268, 270)(237, 298, 304, 257, 240)(244, 300, 318, 317, 299)(253, 302, 319, 320, 303)(321, 322, 326, 324)(323, 329, 341, 331)(325, 333, 338, 327)(328, 339, 352, 335)(330, 343, 364, 344)(332, 336, 353, 347)(334, 350, 373, 348)(337, 355, 383, 356)(340, 360, 389, 358)(342, 363, 394, 361)(345, 362, 395, 368)(346, 369, 406, 370)(349, 374, 387, 357)(351, 377, 418, 378)(354, 382, 424, 380)(359, 390, 422, 379)(365, 400, 452, 398)(366, 399, 453, 402)(367, 403, 459, 404)(371, 381, 425, 410)(372, 411, 471, 412)(375, 416, 477, 414)(376, 417, 475, 413)(384, 430, 498, 428)(385, 429, 499, 432)(386, 433, 505, 434)(388, 436, 510, 437)(391, 441, 516, 439)(392, 442, 514, 438)(393, 443, 521, 444)(396, 448, 527, 446)(397, 449, 525, 445)(401, 456, 485, 457)(405, 447, 528, 463)(407, 466, 546, 464)(408, 465, 547, 467)(409, 468, 537, 469)(415, 478, 509, 435)(419, 484, 564, 482)(420, 483, 565, 486)(421, 487, 568, 488)(423, 490, 573, 491)(426, 495, 579, 493)(427, 496, 577, 492)(431, 502, 450, 503)(440, 517, 572, 489)(451, 532, 592, 511)(454, 513, 594, 534)(455, 536, 607, 533)(458, 535, 571, 539)(460, 540, 584, 501)(461, 507, 570, 541)(462, 542, 562, 543)(470, 494, 580, 552)(472, 545, 611, 553)(473, 554, 596, 515)(474, 555, 613, 548)(476, 523, 602, 557)(479, 560, 538, 558)(480, 519, 582, 530)(481, 561, 581, 556)(497, 583, 622, 574)(500, 576, 624, 585)(504, 586, 551, 587)(506, 588, 620, 567)(508, 589, 550, 590)(512, 593, 617, 578)(518, 599, 531, 597)(520, 600, 529, 595)(522, 563, 619, 601)(524, 603, 621, 566)(526, 575, 623, 604)(544, 591, 559, 598)(549, 569, 609, 612)(605, 633, 637, 629)(606, 627, 618, 634)(608, 631, 640, 635)(610, 632, 615, 626)(614, 636, 639, 625)(616, 630, 638, 628)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^5 ) }
Outer automorphisms :: reflexible
Dual of E9.1045
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 320 f = 160
	degree seq :: [ 4^80, 5^64 ]

E9.1042 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1)^4, (T2 * T1^2 * T2 * T1^2 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 33)(19, 28)(21, 38)(22, 39)(23, 41)(26, 44)(29, 48)(30, 51)(32, 54)(34, 57)(35, 59)(36, 55)(37, 61)(40, 64)(42, 67)(43, 69)(45, 73)(46, 74)(47, 76)(49, 78)(50, 79)(52, 83)(53, 80)(56, 88)(58, 92)(60, 94)(62, 97)(63, 99)(65, 103)(66, 104)(68, 107)(70, 111)(71, 108)(72, 113)(75, 116)(77, 120)(81, 126)(82, 128)(84, 130)(85, 132)(86, 133)(87, 135)(89, 137)(90, 139)(91, 117)(93, 143)(95, 147)(96, 148)(98, 151)(100, 155)(101, 152)(102, 157)(105, 160)(106, 162)(109, 166)(110, 168)(112, 170)(114, 172)(115, 173)(118, 176)(119, 178)(121, 181)(122, 179)(123, 183)(124, 184)(125, 186)(127, 188)(129, 191)(131, 192)(134, 190)(136, 198)(138, 199)(140, 200)(141, 202)(142, 185)(144, 182)(145, 195)(146, 207)(149, 209)(150, 211)(153, 213)(154, 215)(156, 216)(158, 218)(159, 219)(161, 221)(163, 223)(164, 224)(165, 225)(167, 227)(169, 229)(171, 232)(174, 234)(175, 237)(177, 239)(180, 242)(187, 248)(189, 250)(193, 246)(194, 254)(196, 256)(197, 243)(201, 261)(203, 260)(204, 235)(205, 265)(206, 266)(208, 268)(210, 270)(212, 272)(214, 274)(217, 278)(220, 280)(222, 283)(226, 287)(228, 288)(230, 285)(231, 289)(233, 291)(236, 293)(238, 295)(240, 297)(241, 269)(244, 275)(245, 299)(247, 281)(249, 279)(251, 282)(252, 303)(253, 304)(255, 305)(257, 302)(258, 298)(259, 284)(262, 294)(263, 301)(264, 306)(267, 311)(271, 313)(273, 314)(276, 290)(277, 315)(286, 312)(292, 317)(296, 318)(300, 307)(308, 319)(309, 316)(310, 320)(321, 322, 325, 330, 324)(323, 327, 334, 337, 328)(326, 332, 343, 346, 333)(329, 338, 352, 354, 339)(331, 341, 357, 360, 342)(335, 348, 367, 369, 349)(336, 350, 370, 362, 344)(340, 355, 378, 380, 356)(345, 363, 388, 382, 358)(347, 365, 392, 395, 366)(351, 372, 402, 404, 373)(353, 375, 407, 409, 376)(359, 383, 418, 413, 379)(361, 385, 422, 425, 386)(364, 390, 430, 432, 391)(368, 397, 439, 434, 393)(371, 400, 445, 447, 401)(374, 405, 451, 454, 406)(377, 410, 458, 460, 411)(381, 415, 466, 469, 416)(384, 420, 474, 476, 421)(387, 426, 481, 478, 423)(389, 428, 485, 487, 429)(394, 435, 471, 449, 403)(396, 437, 495, 497, 438)(398, 441, 475, 468, 442)(399, 443, 502, 505, 444)(408, 456, 517, 514, 452)(412, 461, 521, 523, 462)(414, 464, 525, 526, 465)(417, 470, 530, 528, 467)(419, 472, 532, 534, 473)(424, 479, 457, 489, 431)(427, 483, 459, 453, 484)(433, 491, 551, 550, 490)(436, 488, 548, 556, 494)(440, 499, 561, 563, 500)(446, 507, 547, 565, 503)(448, 509, 569, 571, 510)(450, 512, 572, 573, 513)(455, 515, 575, 577, 516)(463, 524, 584, 583, 522)(477, 537, 597, 596, 536)(480, 535, 595, 601, 540)(482, 504, 560, 498, 542)(486, 546, 594, 604, 543)(492, 553, 592, 610, 552)(493, 554, 590, 612, 555)(496, 558, 508, 564, 501)(506, 566, 620, 621, 567)(511, 533, 593, 622, 570)(518, 539, 600, 626, 578)(519, 579, 611, 617, 580)(520, 581, 627, 628, 582)(527, 587, 630, 629, 586)(529, 585, 619, 632, 589)(531, 544, 602, 541, 591)(538, 599, 625, 636, 598)(545, 605, 623, 574, 606)(549, 576, 616, 559, 608)(557, 614, 631, 588, 613)(562, 618, 637, 633, 603)(568, 615, 638, 634, 607)(609, 635, 640, 639, 624)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 8 ), ( 8^5 ) }
Outer automorphisms :: reflexible
Dual of E9.1043
Transitivity :: ET+
Graph:: simple bipartite
	v = 224 e = 320 f = 80
	degree seq :: [ 2^160, 5^64 ]

E9.1043 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1)^5, (T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 321, 3, 323, 8, 328, 4, 324)(2, 322, 5, 325, 11, 331, 6, 326)(7, 327, 13, 333, 24, 344, 14, 334)(9, 329, 16, 336, 29, 349, 17, 337)(10, 330, 18, 338, 32, 352, 19, 339)(12, 332, 21, 341, 37, 357, 22, 342)(15, 335, 26, 346, 44, 364, 27, 347)(20, 340, 34, 354, 55, 375, 35, 355)(23, 343, 38, 358, 60, 380, 39, 359)(25, 345, 41, 361, 65, 385, 42, 362)(28, 348, 46, 366, 71, 391, 47, 367)(30, 350, 49, 369, 50, 370, 31, 351)(33, 353, 52, 372, 80, 400, 53, 373)(36, 356, 57, 377, 86, 406, 58, 378)(40, 360, 62, 382, 94, 414, 63, 383)(43, 363, 66, 386, 99, 419, 67, 387)(45, 365, 69, 389, 104, 424, 70, 390)(48, 368, 73, 393, 109, 429, 74, 394)(51, 371, 77, 397, 116, 436, 78, 398)(54, 374, 81, 401, 121, 441, 82, 402)(56, 376, 84, 404, 126, 446, 85, 405)(59, 379, 88, 408, 131, 451, 89, 409)(61, 381, 91, 411, 136, 456, 92, 412)(64, 384, 96, 416, 142, 462, 97, 417)(68, 388, 101, 421, 150, 470, 102, 422)(72, 392, 106, 426, 158, 478, 107, 427)(75, 395, 111, 431, 164, 484, 112, 432)(76, 396, 113, 433, 167, 487, 114, 434)(79, 399, 118, 438, 173, 493, 119, 439)(83, 403, 123, 443, 181, 501, 124, 444)(87, 407, 128, 448, 189, 509, 129, 449)(90, 410, 133, 453, 195, 515, 134, 454)(93, 413, 137, 457, 200, 520, 138, 458)(95, 415, 140, 460, 204, 524, 141, 461)(98, 418, 144, 464, 208, 528, 145, 465)(100, 420, 147, 467, 211, 531, 148, 468)(103, 423, 152, 472, 217, 537, 153, 473)(105, 425, 155, 475, 220, 540, 156, 476)(108, 428, 159, 479, 222, 542, 160, 480)(110, 430, 162, 482, 226, 546, 163, 483)(115, 435, 168, 488, 231, 551, 169, 489)(117, 437, 171, 491, 235, 555, 172, 492)(120, 440, 175, 495, 239, 559, 176, 496)(122, 442, 178, 498, 242, 562, 179, 499)(125, 445, 183, 503, 248, 568, 184, 504)(127, 447, 186, 506, 251, 571, 187, 507)(130, 450, 190, 510, 253, 573, 191, 511)(132, 452, 193, 513, 257, 577, 194, 514)(135, 455, 197, 517, 165, 485, 198, 518)(139, 459, 201, 521, 263, 583, 202, 522)(143, 463, 205, 525, 157, 477, 206, 526)(146, 466, 209, 529, 271, 591, 210, 530)(149, 469, 212, 532, 273, 593, 213, 533)(151, 471, 215, 535, 277, 597, 216, 536)(154, 474, 218, 538, 278, 598, 219, 539)(161, 481, 224, 544, 282, 602, 225, 545)(166, 486, 228, 548, 196, 516, 229, 549)(170, 490, 232, 552, 289, 609, 233, 553)(174, 494, 236, 556, 188, 508, 237, 557)(177, 497, 240, 560, 297, 617, 241, 561)(180, 500, 243, 563, 299, 619, 244, 564)(182, 502, 246, 566, 303, 623, 247, 567)(185, 505, 249, 569, 304, 624, 250, 570)(192, 512, 255, 575, 308, 628, 256, 576)(199, 519, 260, 580, 290, 610, 261, 581)(203, 523, 265, 585, 313, 633, 266, 586)(207, 527, 268, 588, 221, 541, 269, 589)(214, 534, 274, 594, 315, 635, 275, 595)(223, 543, 272, 592, 314, 634, 280, 600)(227, 547, 276, 596, 307, 627, 284, 604)(230, 550, 286, 606, 264, 584, 287, 607)(234, 554, 291, 611, 318, 638, 292, 612)(238, 558, 294, 614, 252, 572, 295, 615)(245, 565, 300, 620, 320, 640, 301, 621)(254, 574, 298, 618, 319, 639, 306, 626)(258, 578, 302, 622, 281, 601, 310, 630)(259, 579, 311, 631, 267, 587, 312, 632)(262, 582, 296, 616, 279, 599, 309, 629)(270, 590, 305, 625, 283, 603, 288, 608)(285, 605, 316, 636, 293, 613, 317, 637)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 330)(6, 332)(7, 323)(8, 335)(9, 324)(10, 325)(11, 340)(12, 326)(13, 343)(14, 345)(15, 328)(16, 348)(17, 350)(18, 351)(19, 353)(20, 331)(21, 356)(22, 358)(23, 333)(24, 360)(25, 334)(26, 363)(27, 365)(28, 336)(29, 368)(30, 337)(31, 338)(32, 371)(33, 339)(34, 374)(35, 376)(36, 341)(37, 379)(38, 342)(39, 381)(40, 344)(41, 384)(42, 386)(43, 346)(44, 388)(45, 347)(46, 390)(47, 392)(48, 349)(49, 395)(50, 396)(51, 352)(52, 399)(53, 401)(54, 354)(55, 403)(56, 355)(57, 405)(58, 407)(59, 357)(60, 410)(61, 359)(62, 413)(63, 415)(64, 361)(65, 418)(66, 362)(67, 420)(68, 364)(69, 423)(70, 366)(71, 425)(72, 367)(73, 428)(74, 430)(75, 369)(76, 370)(77, 435)(78, 437)(79, 372)(80, 440)(81, 373)(82, 442)(83, 375)(84, 445)(85, 377)(86, 447)(87, 378)(88, 450)(89, 452)(90, 380)(91, 455)(92, 457)(93, 382)(94, 459)(95, 383)(96, 461)(97, 463)(98, 385)(99, 466)(100, 387)(101, 469)(102, 471)(103, 389)(104, 474)(105, 391)(106, 477)(107, 479)(108, 393)(109, 481)(110, 394)(111, 483)(112, 485)(113, 486)(114, 488)(115, 397)(116, 490)(117, 398)(118, 492)(119, 494)(120, 400)(121, 497)(122, 402)(123, 500)(124, 502)(125, 404)(126, 505)(127, 406)(128, 508)(129, 510)(130, 408)(131, 512)(132, 409)(133, 514)(134, 516)(135, 411)(136, 519)(137, 412)(138, 496)(139, 414)(140, 523)(141, 416)(142, 504)(143, 417)(144, 527)(145, 489)(146, 419)(147, 509)(148, 532)(149, 421)(150, 534)(151, 422)(152, 536)(153, 493)(154, 424)(155, 513)(156, 541)(157, 426)(158, 498)(159, 427)(160, 543)(161, 429)(162, 506)(163, 431)(164, 547)(165, 432)(166, 433)(167, 550)(168, 434)(169, 465)(170, 436)(171, 554)(172, 438)(173, 473)(174, 439)(175, 558)(176, 458)(177, 441)(178, 478)(179, 563)(180, 443)(181, 565)(182, 444)(183, 567)(184, 462)(185, 446)(186, 482)(187, 572)(188, 448)(189, 467)(190, 449)(191, 574)(192, 451)(193, 475)(194, 453)(195, 578)(196, 454)(197, 548)(198, 579)(199, 456)(200, 560)(201, 582)(202, 584)(203, 460)(204, 569)(205, 587)(206, 588)(207, 464)(208, 590)(209, 551)(210, 573)(211, 592)(212, 468)(213, 581)(214, 470)(215, 596)(216, 472)(217, 586)(218, 555)(219, 577)(220, 599)(221, 476)(222, 561)(223, 480)(224, 601)(225, 603)(226, 570)(227, 484)(228, 517)(229, 605)(230, 487)(231, 529)(232, 608)(233, 610)(234, 491)(235, 538)(236, 613)(237, 614)(238, 495)(239, 616)(240, 520)(241, 542)(242, 618)(243, 499)(244, 607)(245, 501)(246, 622)(247, 503)(248, 612)(249, 524)(250, 546)(251, 625)(252, 507)(253, 530)(254, 511)(255, 627)(256, 629)(257, 539)(258, 515)(259, 518)(260, 611)(261, 533)(262, 521)(263, 620)(264, 522)(265, 606)(266, 537)(267, 525)(268, 526)(269, 615)(270, 528)(271, 619)(272, 531)(273, 617)(274, 609)(275, 628)(276, 535)(277, 624)(278, 623)(279, 540)(280, 630)(281, 544)(282, 621)(283, 545)(284, 626)(285, 549)(286, 585)(287, 564)(288, 552)(289, 594)(290, 553)(291, 580)(292, 568)(293, 556)(294, 557)(295, 589)(296, 559)(297, 593)(298, 562)(299, 591)(300, 583)(301, 602)(302, 566)(303, 598)(304, 597)(305, 571)(306, 604)(307, 575)(308, 595)(309, 576)(310, 600)(311, 639)(312, 638)(313, 637)(314, 636)(315, 640)(316, 634)(317, 633)(318, 632)(319, 631)(320, 635)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E9.1042
Transitivity :: ET+ VT+ AT
Graph::
	v = 80 e = 320 f = 224
	degree seq :: [ 8^80 ]

E9.1044 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^4, T2^5, (T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-2)^2, T2^2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1^-2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 ]
Map::
	R = (1, 321, 3, 323, 10, 330, 14, 334, 5, 325)(2, 322, 7, 327, 17, 337, 20, 340, 8, 328)(4, 324, 12, 332, 26, 346, 22, 342, 9, 329)(6, 326, 15, 335, 31, 351, 34, 354, 16, 336)(11, 331, 25, 345, 47, 367, 45, 365, 23, 343)(13, 333, 28, 348, 52, 372, 55, 375, 29, 349)(18, 338, 37, 357, 66, 386, 64, 384, 35, 355)(19, 339, 38, 358, 68, 388, 71, 391, 39, 359)(21, 341, 41, 361, 73, 393, 76, 396, 42, 362)(24, 344, 46, 366, 81, 401, 56, 376, 30, 350)(27, 347, 51, 371, 89, 409, 87, 407, 49, 369)(32, 352, 59, 379, 101, 421, 99, 419, 57, 377)(33, 353, 60, 380, 103, 423, 106, 426, 61, 381)(36, 356, 65, 385, 111, 431, 72, 392, 40, 360)(43, 363, 50, 370, 88, 408, 130, 450, 77, 397)(44, 364, 78, 398, 131, 451, 134, 454, 79, 399)(48, 368, 85, 405, 142, 462, 140, 460, 83, 403)(53, 373, 93, 413, 154, 474, 152, 472, 91, 411)(54, 374, 94, 414, 156, 476, 159, 479, 95, 415)(58, 378, 100, 420, 165, 485, 107, 427, 62, 382)(63, 383, 108, 428, 177, 497, 180, 500, 109, 429)(67, 387, 115, 435, 188, 508, 186, 506, 113, 433)(69, 389, 118, 438, 193, 513, 191, 511, 116, 436)(70, 390, 119, 439, 195, 515, 198, 518, 120, 440)(74, 394, 125, 445, 204, 524, 202, 522, 123, 443)(75, 395, 126, 446, 206, 526, 209, 529, 127, 447)(80, 400, 84, 404, 141, 461, 217, 537, 135, 455)(82, 402, 138, 458, 218, 538, 176, 496, 136, 456)(86, 406, 144, 464, 225, 545, 228, 548, 145, 465)(90, 410, 150, 470, 231, 551, 216, 536, 148, 468)(92, 412, 153, 473, 196, 516, 160, 480, 96, 416)(97, 417, 137, 457, 166, 486, 242, 562, 161, 481)(98, 418, 162, 482, 243, 563, 246, 566, 163, 483)(102, 422, 169, 489, 251, 571, 249, 569, 167, 487)(104, 424, 172, 492, 256, 576, 254, 574, 170, 490)(105, 425, 173, 493, 258, 578, 261, 581, 174, 494)(110, 430, 114, 434, 187, 507, 139, 459, 181, 501)(112, 432, 184, 504, 211, 531, 129, 449, 182, 502)(117, 437, 192, 512, 259, 579, 199, 519, 121, 441)(122, 442, 183, 503, 147, 467, 230, 550, 200, 520)(124, 444, 203, 523, 157, 477, 210, 530, 128, 448)(132, 452, 213, 533, 286, 606, 285, 605, 212, 532)(133, 453, 214, 534, 288, 608, 289, 609, 215, 535)(143, 463, 224, 544, 260, 580, 241, 561, 222, 542)(146, 466, 149, 469, 221, 541, 248, 568, 229, 549)(151, 471, 233, 553, 294, 614, 295, 615, 234, 554)(155, 475, 236, 556, 297, 617, 296, 616, 235, 555)(158, 478, 238, 558, 219, 539, 252, 572, 239, 559)(164, 484, 168, 488, 250, 570, 185, 505, 247, 567)(171, 491, 255, 575, 207, 527, 262, 582, 175, 495)(178, 498, 264, 584, 306, 626, 305, 625, 263, 583)(179, 499, 265, 585, 307, 627, 287, 607, 266, 586)(189, 509, 271, 591, 208, 528, 280, 600, 269, 589)(190, 510, 272, 592, 309, 629, 310, 630, 273, 593)(194, 514, 275, 595, 284, 604, 311, 631, 274, 594)(197, 517, 277, 597, 267, 587, 232, 552, 278, 598)(201, 521, 281, 601, 313, 633, 314, 634, 282, 602)(205, 525, 279, 599, 276, 596, 312, 632, 283, 603)(220, 540, 223, 543, 245, 565, 301, 621, 290, 610)(226, 546, 292, 612, 315, 635, 316, 636, 291, 611)(227, 547, 293, 613, 308, 628, 268, 588, 270, 590)(237, 557, 298, 618, 304, 624, 257, 577, 240, 560)(244, 564, 300, 620, 318, 638, 317, 637, 299, 619)(253, 573, 302, 622, 319, 639, 320, 640, 303, 623)
	L = (1, 322)(2, 326)(3, 329)(4, 321)(5, 333)(6, 324)(7, 325)(8, 339)(9, 341)(10, 343)(11, 323)(12, 336)(13, 338)(14, 350)(15, 328)(16, 353)(17, 355)(18, 327)(19, 352)(20, 360)(21, 331)(22, 363)(23, 364)(24, 330)(25, 362)(26, 369)(27, 332)(28, 334)(29, 374)(30, 373)(31, 377)(32, 335)(33, 347)(34, 382)(35, 383)(36, 337)(37, 349)(38, 340)(39, 390)(40, 389)(41, 342)(42, 395)(43, 394)(44, 344)(45, 400)(46, 399)(47, 403)(48, 345)(49, 406)(50, 346)(51, 381)(52, 411)(53, 348)(54, 387)(55, 416)(56, 417)(57, 418)(58, 351)(59, 359)(60, 354)(61, 425)(62, 424)(63, 356)(64, 430)(65, 429)(66, 433)(67, 357)(68, 436)(69, 358)(70, 422)(71, 441)(72, 442)(73, 443)(74, 361)(75, 368)(76, 448)(77, 449)(78, 365)(79, 453)(80, 452)(81, 456)(82, 366)(83, 459)(84, 367)(85, 447)(86, 370)(87, 466)(88, 465)(89, 468)(90, 371)(91, 471)(92, 372)(93, 376)(94, 375)(95, 478)(96, 477)(97, 475)(98, 378)(99, 484)(100, 483)(101, 487)(102, 379)(103, 490)(104, 380)(105, 410)(106, 495)(107, 496)(108, 384)(109, 499)(110, 498)(111, 502)(112, 385)(113, 505)(114, 386)(115, 415)(116, 510)(117, 388)(118, 392)(119, 391)(120, 517)(121, 516)(122, 514)(123, 521)(124, 393)(125, 397)(126, 396)(127, 528)(128, 527)(129, 525)(130, 503)(131, 532)(132, 398)(133, 402)(134, 513)(135, 536)(136, 485)(137, 401)(138, 535)(139, 404)(140, 540)(141, 507)(142, 542)(143, 405)(144, 407)(145, 547)(146, 546)(147, 408)(148, 537)(149, 409)(150, 494)(151, 412)(152, 545)(153, 554)(154, 555)(155, 413)(156, 523)(157, 414)(158, 509)(159, 560)(160, 519)(161, 561)(162, 419)(163, 565)(164, 564)(165, 457)(166, 420)(167, 568)(168, 421)(169, 440)(170, 573)(171, 423)(172, 427)(173, 426)(174, 580)(175, 579)(176, 577)(177, 583)(178, 428)(179, 432)(180, 576)(181, 460)(182, 450)(183, 431)(184, 586)(185, 434)(186, 588)(187, 570)(188, 589)(189, 435)(190, 437)(191, 451)(192, 593)(193, 594)(194, 438)(195, 473)(196, 439)(197, 572)(198, 599)(199, 582)(200, 600)(201, 444)(202, 563)(203, 602)(204, 603)(205, 445)(206, 575)(207, 446)(208, 463)(209, 595)(210, 480)(211, 597)(212, 592)(213, 455)(214, 454)(215, 571)(216, 607)(217, 469)(218, 558)(219, 458)(220, 584)(221, 461)(222, 562)(223, 462)(224, 591)(225, 611)(226, 464)(227, 467)(228, 474)(229, 569)(230, 590)(231, 587)(232, 470)(233, 472)(234, 596)(235, 613)(236, 481)(237, 476)(238, 479)(239, 598)(240, 538)(241, 581)(242, 543)(243, 619)(244, 482)(245, 486)(246, 524)(247, 506)(248, 488)(249, 609)(250, 541)(251, 539)(252, 489)(253, 491)(254, 497)(255, 623)(256, 624)(257, 492)(258, 512)(259, 493)(260, 552)(261, 556)(262, 530)(263, 622)(264, 501)(265, 500)(266, 551)(267, 504)(268, 620)(269, 550)(270, 508)(271, 559)(272, 511)(273, 617)(274, 534)(275, 520)(276, 515)(277, 518)(278, 544)(279, 531)(280, 529)(281, 522)(282, 557)(283, 621)(284, 526)(285, 633)(286, 627)(287, 533)(288, 631)(289, 612)(290, 632)(291, 553)(292, 549)(293, 548)(294, 636)(295, 626)(296, 630)(297, 578)(298, 634)(299, 601)(300, 567)(301, 566)(302, 574)(303, 604)(304, 585)(305, 614)(306, 610)(307, 618)(308, 616)(309, 605)(310, 638)(311, 640)(312, 615)(313, 637)(314, 606)(315, 608)(316, 639)(317, 629)(318, 628)(319, 625)(320, 635)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E9.1040
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 64 e = 320 f = 240
	degree seq :: [ 10^64 ]

E9.1045 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1)^4, (T2 * T1^2 * T2 * T1^2 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 321, 3, 323)(2, 322, 6, 326)(4, 324, 9, 329)(5, 325, 11, 331)(7, 327, 15, 335)(8, 328, 16, 336)(10, 330, 20, 340)(12, 332, 24, 344)(13, 333, 25, 345)(14, 334, 27, 347)(17, 337, 31, 351)(18, 338, 33, 353)(19, 339, 28, 348)(21, 341, 38, 358)(22, 342, 39, 359)(23, 343, 41, 361)(26, 346, 44, 364)(29, 349, 48, 368)(30, 350, 51, 371)(32, 352, 54, 374)(34, 354, 57, 377)(35, 355, 59, 379)(36, 356, 55, 375)(37, 357, 61, 381)(40, 360, 64, 384)(42, 362, 67, 387)(43, 363, 69, 389)(45, 365, 73, 393)(46, 366, 74, 394)(47, 367, 76, 396)(49, 369, 78, 398)(50, 370, 79, 399)(52, 372, 83, 403)(53, 373, 80, 400)(56, 376, 88, 408)(58, 378, 92, 412)(60, 380, 94, 414)(62, 382, 97, 417)(63, 383, 99, 419)(65, 385, 103, 423)(66, 386, 104, 424)(68, 388, 107, 427)(70, 390, 111, 431)(71, 391, 108, 428)(72, 392, 113, 433)(75, 395, 116, 436)(77, 397, 120, 440)(81, 401, 126, 446)(82, 402, 128, 448)(84, 404, 130, 450)(85, 405, 132, 452)(86, 406, 133, 453)(87, 407, 135, 455)(89, 409, 137, 457)(90, 410, 139, 459)(91, 411, 117, 437)(93, 413, 143, 463)(95, 415, 147, 467)(96, 416, 148, 468)(98, 418, 151, 471)(100, 420, 155, 475)(101, 421, 152, 472)(102, 422, 157, 477)(105, 425, 160, 480)(106, 426, 162, 482)(109, 429, 166, 486)(110, 430, 168, 488)(112, 432, 170, 490)(114, 434, 172, 492)(115, 435, 173, 493)(118, 438, 176, 496)(119, 439, 178, 498)(121, 441, 181, 501)(122, 442, 179, 499)(123, 443, 183, 503)(124, 444, 184, 504)(125, 445, 186, 506)(127, 447, 188, 508)(129, 449, 191, 511)(131, 451, 192, 512)(134, 454, 190, 510)(136, 456, 198, 518)(138, 458, 199, 519)(140, 460, 200, 520)(141, 461, 202, 522)(142, 462, 185, 505)(144, 464, 182, 502)(145, 465, 195, 515)(146, 466, 207, 527)(149, 469, 209, 529)(150, 470, 211, 531)(153, 473, 213, 533)(154, 474, 215, 535)(156, 476, 216, 536)(158, 478, 218, 538)(159, 479, 219, 539)(161, 481, 221, 541)(163, 483, 223, 543)(164, 484, 224, 544)(165, 485, 225, 545)(167, 487, 227, 547)(169, 489, 229, 549)(171, 491, 232, 552)(174, 494, 234, 554)(175, 495, 237, 557)(177, 497, 239, 559)(180, 500, 242, 562)(187, 507, 248, 568)(189, 509, 250, 570)(193, 513, 246, 566)(194, 514, 254, 574)(196, 516, 256, 576)(197, 517, 243, 563)(201, 521, 261, 581)(203, 523, 260, 580)(204, 524, 235, 555)(205, 525, 265, 585)(206, 526, 266, 586)(208, 528, 268, 588)(210, 530, 270, 590)(212, 532, 272, 592)(214, 534, 274, 594)(217, 537, 278, 598)(220, 540, 280, 600)(222, 542, 283, 603)(226, 546, 287, 607)(228, 548, 288, 608)(230, 550, 285, 605)(231, 551, 289, 609)(233, 553, 291, 611)(236, 556, 293, 613)(238, 558, 295, 615)(240, 560, 297, 617)(241, 561, 269, 589)(244, 564, 275, 595)(245, 565, 299, 619)(247, 567, 281, 601)(249, 569, 279, 599)(251, 571, 282, 602)(252, 572, 303, 623)(253, 573, 304, 624)(255, 575, 305, 625)(257, 577, 302, 622)(258, 578, 298, 618)(259, 579, 284, 604)(262, 582, 294, 614)(263, 583, 301, 621)(264, 584, 306, 626)(267, 587, 311, 631)(271, 591, 313, 633)(273, 593, 314, 634)(276, 596, 290, 610)(277, 597, 315, 635)(286, 606, 312, 632)(292, 612, 317, 637)(296, 616, 318, 638)(300, 620, 307, 627)(308, 628, 319, 639)(309, 629, 316, 636)(310, 630, 320, 640)
	L = (1, 322)(2, 325)(3, 327)(4, 321)(5, 330)(6, 332)(7, 334)(8, 323)(9, 338)(10, 324)(11, 341)(12, 343)(13, 326)(14, 337)(15, 348)(16, 350)(17, 328)(18, 352)(19, 329)(20, 355)(21, 357)(22, 331)(23, 346)(24, 336)(25, 363)(26, 333)(27, 365)(28, 367)(29, 335)(30, 370)(31, 372)(32, 354)(33, 375)(34, 339)(35, 378)(36, 340)(37, 360)(38, 345)(39, 383)(40, 342)(41, 385)(42, 344)(43, 388)(44, 390)(45, 392)(46, 347)(47, 369)(48, 397)(49, 349)(50, 362)(51, 400)(52, 402)(53, 351)(54, 405)(55, 407)(56, 353)(57, 410)(58, 380)(59, 359)(60, 356)(61, 415)(62, 358)(63, 418)(64, 420)(65, 422)(66, 361)(67, 426)(68, 382)(69, 428)(70, 430)(71, 364)(72, 395)(73, 368)(74, 435)(75, 366)(76, 437)(77, 439)(78, 441)(79, 443)(80, 445)(81, 371)(82, 404)(83, 394)(84, 373)(85, 451)(86, 374)(87, 409)(88, 456)(89, 376)(90, 458)(91, 377)(92, 461)(93, 379)(94, 464)(95, 466)(96, 381)(97, 470)(98, 413)(99, 472)(100, 474)(101, 384)(102, 425)(103, 387)(104, 479)(105, 386)(106, 481)(107, 483)(108, 485)(109, 389)(110, 432)(111, 424)(112, 391)(113, 491)(114, 393)(115, 471)(116, 488)(117, 495)(118, 396)(119, 434)(120, 499)(121, 475)(122, 398)(123, 502)(124, 399)(125, 447)(126, 507)(127, 401)(128, 509)(129, 403)(130, 512)(131, 454)(132, 408)(133, 484)(134, 406)(135, 515)(136, 517)(137, 489)(138, 460)(139, 453)(140, 411)(141, 521)(142, 412)(143, 524)(144, 525)(145, 414)(146, 469)(147, 417)(148, 442)(149, 416)(150, 530)(151, 449)(152, 532)(153, 419)(154, 476)(155, 468)(156, 421)(157, 537)(158, 423)(159, 457)(160, 535)(161, 478)(162, 504)(163, 459)(164, 427)(165, 487)(166, 546)(167, 429)(168, 548)(169, 431)(170, 433)(171, 551)(172, 553)(173, 554)(174, 436)(175, 497)(176, 558)(177, 438)(178, 542)(179, 561)(180, 440)(181, 496)(182, 505)(183, 446)(184, 560)(185, 444)(186, 566)(187, 547)(188, 564)(189, 569)(190, 448)(191, 533)(192, 572)(193, 450)(194, 452)(195, 575)(196, 455)(197, 514)(198, 539)(199, 579)(200, 581)(201, 523)(202, 463)(203, 462)(204, 584)(205, 526)(206, 465)(207, 587)(208, 467)(209, 585)(210, 528)(211, 544)(212, 534)(213, 593)(214, 473)(215, 595)(216, 477)(217, 597)(218, 599)(219, 600)(220, 480)(221, 591)(222, 482)(223, 486)(224, 602)(225, 605)(226, 594)(227, 565)(228, 556)(229, 576)(230, 490)(231, 550)(232, 492)(233, 592)(234, 590)(235, 493)(236, 494)(237, 614)(238, 508)(239, 608)(240, 498)(241, 563)(242, 618)(243, 500)(244, 501)(245, 503)(246, 620)(247, 506)(248, 615)(249, 571)(250, 511)(251, 510)(252, 573)(253, 513)(254, 606)(255, 577)(256, 616)(257, 516)(258, 518)(259, 611)(260, 519)(261, 627)(262, 520)(263, 522)(264, 583)(265, 619)(266, 527)(267, 630)(268, 613)(269, 529)(270, 612)(271, 531)(272, 610)(273, 622)(274, 604)(275, 601)(276, 536)(277, 596)(278, 538)(279, 625)(280, 626)(281, 540)(282, 541)(283, 562)(284, 543)(285, 623)(286, 545)(287, 568)(288, 549)(289, 635)(290, 552)(291, 617)(292, 555)(293, 557)(294, 631)(295, 638)(296, 559)(297, 580)(298, 637)(299, 632)(300, 621)(301, 567)(302, 570)(303, 574)(304, 609)(305, 636)(306, 578)(307, 628)(308, 582)(309, 586)(310, 629)(311, 588)(312, 589)(313, 603)(314, 607)(315, 640)(316, 598)(317, 633)(318, 634)(319, 624)(320, 639)
	local type(s) :: { ( 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E9.1041
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 160 e = 320 f = 144
	degree seq :: [ 4^160 ]

E9.1046 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|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)^5, (Y3 * Y2^-1)^5, (Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 321, 2, 322)(3, 323, 7, 327)(4, 324, 9, 329)(5, 325, 10, 330)(6, 326, 12, 332)(8, 328, 15, 335)(11, 331, 20, 340)(13, 333, 23, 343)(14, 334, 25, 345)(16, 336, 28, 348)(17, 337, 30, 350)(18, 338, 31, 351)(19, 339, 33, 353)(21, 341, 36, 356)(22, 342, 38, 358)(24, 344, 40, 360)(26, 346, 43, 363)(27, 347, 45, 365)(29, 349, 48, 368)(32, 352, 51, 371)(34, 354, 54, 374)(35, 355, 56, 376)(37, 357, 59, 379)(39, 359, 61, 381)(41, 361, 64, 384)(42, 362, 66, 386)(44, 364, 68, 388)(46, 366, 70, 390)(47, 367, 72, 392)(49, 369, 75, 395)(50, 370, 76, 396)(52, 372, 79, 399)(53, 373, 81, 401)(55, 375, 83, 403)(57, 377, 85, 405)(58, 378, 87, 407)(60, 380, 90, 410)(62, 382, 93, 413)(63, 383, 95, 415)(65, 385, 98, 418)(67, 387, 100, 420)(69, 389, 103, 423)(71, 391, 105, 425)(73, 393, 108, 428)(74, 394, 110, 430)(77, 397, 115, 435)(78, 398, 117, 437)(80, 400, 120, 440)(82, 402, 122, 442)(84, 404, 125, 445)(86, 406, 127, 447)(88, 408, 130, 450)(89, 409, 132, 452)(91, 411, 135, 455)(92, 412, 137, 457)(94, 414, 139, 459)(96, 416, 141, 461)(97, 417, 143, 463)(99, 419, 146, 466)(101, 421, 149, 469)(102, 422, 151, 471)(104, 424, 154, 474)(106, 426, 157, 477)(107, 427, 159, 479)(109, 429, 161, 481)(111, 431, 163, 483)(112, 432, 165, 485)(113, 433, 166, 486)(114, 434, 168, 488)(116, 436, 170, 490)(118, 438, 172, 492)(119, 439, 174, 494)(121, 441, 177, 497)(123, 443, 180, 500)(124, 444, 182, 502)(126, 446, 185, 505)(128, 448, 188, 508)(129, 449, 190, 510)(131, 451, 192, 512)(133, 453, 194, 514)(134, 454, 196, 516)(136, 456, 199, 519)(138, 458, 176, 496)(140, 460, 203, 523)(142, 462, 184, 504)(144, 464, 207, 527)(145, 465, 169, 489)(147, 467, 189, 509)(148, 468, 212, 532)(150, 470, 214, 534)(152, 472, 216, 536)(153, 473, 173, 493)(155, 475, 193, 513)(156, 476, 221, 541)(158, 478, 178, 498)(160, 480, 223, 543)(162, 482, 186, 506)(164, 484, 227, 547)(167, 487, 230, 550)(171, 491, 234, 554)(175, 495, 238, 558)(179, 499, 243, 563)(181, 501, 245, 565)(183, 503, 247, 567)(187, 507, 252, 572)(191, 511, 254, 574)(195, 515, 258, 578)(197, 517, 228, 548)(198, 518, 259, 579)(200, 520, 240, 560)(201, 521, 262, 582)(202, 522, 264, 584)(204, 524, 249, 569)(205, 525, 267, 587)(206, 526, 268, 588)(208, 528, 270, 590)(209, 529, 231, 551)(210, 530, 253, 573)(211, 531, 272, 592)(213, 533, 261, 581)(215, 535, 276, 596)(217, 537, 266, 586)(218, 538, 235, 555)(219, 539, 257, 577)(220, 540, 279, 599)(222, 542, 241, 561)(224, 544, 281, 601)(225, 545, 283, 603)(226, 546, 250, 570)(229, 549, 285, 605)(232, 552, 288, 608)(233, 553, 290, 610)(236, 556, 293, 613)(237, 557, 294, 614)(239, 559, 296, 616)(242, 562, 298, 618)(244, 564, 287, 607)(246, 566, 302, 622)(248, 568, 292, 612)(251, 571, 305, 625)(255, 575, 307, 627)(256, 576, 309, 629)(260, 580, 291, 611)(263, 583, 300, 620)(265, 585, 286, 606)(269, 589, 295, 615)(271, 591, 299, 619)(273, 593, 297, 617)(274, 594, 289, 609)(275, 595, 308, 628)(277, 597, 304, 624)(278, 598, 303, 623)(280, 600, 310, 630)(282, 602, 301, 621)(284, 604, 306, 626)(311, 631, 319, 639)(312, 632, 318, 638)(313, 633, 317, 637)(314, 634, 316, 636)(315, 635, 320, 640)(641, 961, 643, 963, 648, 968, 644, 964)(642, 962, 645, 965, 651, 971, 646, 966)(647, 967, 653, 973, 664, 984, 654, 974)(649, 969, 656, 976, 669, 989, 657, 977)(650, 970, 658, 978, 672, 992, 659, 979)(652, 972, 661, 981, 677, 997, 662, 982)(655, 975, 666, 986, 684, 1004, 667, 987)(660, 980, 674, 994, 695, 1015, 675, 995)(663, 983, 678, 998, 700, 1020, 679, 999)(665, 985, 681, 1001, 705, 1025, 682, 1002)(668, 988, 686, 1006, 711, 1031, 687, 1007)(670, 990, 689, 1009, 690, 1010, 671, 991)(673, 993, 692, 1012, 720, 1040, 693, 1013)(676, 996, 697, 1017, 726, 1046, 698, 1018)(680, 1000, 702, 1022, 734, 1054, 703, 1023)(683, 1003, 706, 1026, 739, 1059, 707, 1027)(685, 1005, 709, 1029, 744, 1064, 710, 1030)(688, 1008, 713, 1033, 749, 1069, 714, 1034)(691, 1011, 717, 1037, 756, 1076, 718, 1038)(694, 1014, 721, 1041, 761, 1081, 722, 1042)(696, 1016, 724, 1044, 766, 1086, 725, 1045)(699, 1019, 728, 1048, 771, 1091, 729, 1049)(701, 1021, 731, 1051, 776, 1096, 732, 1052)(704, 1024, 736, 1056, 782, 1102, 737, 1057)(708, 1028, 741, 1061, 790, 1110, 742, 1062)(712, 1032, 746, 1066, 798, 1118, 747, 1067)(715, 1035, 751, 1071, 804, 1124, 752, 1072)(716, 1036, 753, 1073, 807, 1127, 754, 1074)(719, 1039, 758, 1078, 813, 1133, 759, 1079)(723, 1043, 763, 1083, 821, 1141, 764, 1084)(727, 1047, 768, 1088, 829, 1149, 769, 1089)(730, 1050, 773, 1093, 835, 1155, 774, 1094)(733, 1053, 777, 1097, 840, 1160, 778, 1098)(735, 1055, 780, 1100, 844, 1164, 781, 1101)(738, 1058, 784, 1104, 848, 1168, 785, 1105)(740, 1060, 787, 1107, 851, 1171, 788, 1108)(743, 1063, 792, 1112, 857, 1177, 793, 1113)(745, 1065, 795, 1115, 860, 1180, 796, 1116)(748, 1068, 799, 1119, 862, 1182, 800, 1120)(750, 1070, 802, 1122, 866, 1186, 803, 1123)(755, 1075, 808, 1128, 871, 1191, 809, 1129)(757, 1077, 811, 1131, 875, 1195, 812, 1132)(760, 1080, 815, 1135, 879, 1199, 816, 1136)(762, 1082, 818, 1138, 882, 1202, 819, 1139)(765, 1085, 823, 1143, 888, 1208, 824, 1144)(767, 1087, 826, 1146, 891, 1211, 827, 1147)(770, 1090, 830, 1150, 893, 1213, 831, 1151)(772, 1092, 833, 1153, 897, 1217, 834, 1154)(775, 1095, 837, 1157, 805, 1125, 838, 1158)(779, 1099, 841, 1161, 903, 1223, 842, 1162)(783, 1103, 845, 1165, 797, 1117, 846, 1166)(786, 1106, 849, 1169, 911, 1231, 850, 1170)(789, 1109, 852, 1172, 913, 1233, 853, 1173)(791, 1111, 855, 1175, 917, 1237, 856, 1176)(794, 1114, 858, 1178, 918, 1238, 859, 1179)(801, 1121, 864, 1184, 922, 1242, 865, 1185)(806, 1126, 868, 1188, 836, 1156, 869, 1189)(810, 1130, 872, 1192, 929, 1249, 873, 1193)(814, 1134, 876, 1196, 828, 1148, 877, 1197)(817, 1137, 880, 1200, 937, 1257, 881, 1201)(820, 1140, 883, 1203, 939, 1259, 884, 1204)(822, 1142, 886, 1206, 943, 1263, 887, 1207)(825, 1145, 889, 1209, 944, 1264, 890, 1210)(832, 1152, 895, 1215, 948, 1268, 896, 1216)(839, 1159, 900, 1220, 930, 1250, 901, 1221)(843, 1163, 905, 1225, 953, 1273, 906, 1226)(847, 1167, 908, 1228, 861, 1181, 909, 1229)(854, 1174, 914, 1234, 955, 1275, 915, 1235)(863, 1183, 912, 1232, 954, 1274, 920, 1240)(867, 1187, 916, 1236, 947, 1267, 924, 1244)(870, 1190, 926, 1246, 904, 1224, 927, 1247)(874, 1194, 931, 1251, 958, 1278, 932, 1252)(878, 1198, 934, 1254, 892, 1212, 935, 1255)(885, 1205, 940, 1260, 960, 1280, 941, 1261)(894, 1214, 938, 1258, 959, 1279, 946, 1266)(898, 1218, 942, 1262, 921, 1241, 950, 1270)(899, 1219, 951, 1271, 907, 1227, 952, 1272)(902, 1222, 936, 1256, 919, 1239, 949, 1269)(910, 1230, 945, 1265, 923, 1243, 928, 1248)(925, 1245, 956, 1276, 933, 1253, 957, 1277)
	L = (1, 642)(2, 641)(3, 647)(4, 649)(5, 650)(6, 652)(7, 643)(8, 655)(9, 644)(10, 645)(11, 660)(12, 646)(13, 663)(14, 665)(15, 648)(16, 668)(17, 670)(18, 671)(19, 673)(20, 651)(21, 676)(22, 678)(23, 653)(24, 680)(25, 654)(26, 683)(27, 685)(28, 656)(29, 688)(30, 657)(31, 658)(32, 691)(33, 659)(34, 694)(35, 696)(36, 661)(37, 699)(38, 662)(39, 701)(40, 664)(41, 704)(42, 706)(43, 666)(44, 708)(45, 667)(46, 710)(47, 712)(48, 669)(49, 715)(50, 716)(51, 672)(52, 719)(53, 721)(54, 674)(55, 723)(56, 675)(57, 725)(58, 727)(59, 677)(60, 730)(61, 679)(62, 733)(63, 735)(64, 681)(65, 738)(66, 682)(67, 740)(68, 684)(69, 743)(70, 686)(71, 745)(72, 687)(73, 748)(74, 750)(75, 689)(76, 690)(77, 755)(78, 757)(79, 692)(80, 760)(81, 693)(82, 762)(83, 695)(84, 765)(85, 697)(86, 767)(87, 698)(88, 770)(89, 772)(90, 700)(91, 775)(92, 777)(93, 702)(94, 779)(95, 703)(96, 781)(97, 783)(98, 705)(99, 786)(100, 707)(101, 789)(102, 791)(103, 709)(104, 794)(105, 711)(106, 797)(107, 799)(108, 713)(109, 801)(110, 714)(111, 803)(112, 805)(113, 806)(114, 808)(115, 717)(116, 810)(117, 718)(118, 812)(119, 814)(120, 720)(121, 817)(122, 722)(123, 820)(124, 822)(125, 724)(126, 825)(127, 726)(128, 828)(129, 830)(130, 728)(131, 832)(132, 729)(133, 834)(134, 836)(135, 731)(136, 839)(137, 732)(138, 816)(139, 734)(140, 843)(141, 736)(142, 824)(143, 737)(144, 847)(145, 809)(146, 739)(147, 829)(148, 852)(149, 741)(150, 854)(151, 742)(152, 856)(153, 813)(154, 744)(155, 833)(156, 861)(157, 746)(158, 818)(159, 747)(160, 863)(161, 749)(162, 826)(163, 751)(164, 867)(165, 752)(166, 753)(167, 870)(168, 754)(169, 785)(170, 756)(171, 874)(172, 758)(173, 793)(174, 759)(175, 878)(176, 778)(177, 761)(178, 798)(179, 883)(180, 763)(181, 885)(182, 764)(183, 887)(184, 782)(185, 766)(186, 802)(187, 892)(188, 768)(189, 787)(190, 769)(191, 894)(192, 771)(193, 795)(194, 773)(195, 898)(196, 774)(197, 868)(198, 899)(199, 776)(200, 880)(201, 902)(202, 904)(203, 780)(204, 889)(205, 907)(206, 908)(207, 784)(208, 910)(209, 871)(210, 893)(211, 912)(212, 788)(213, 901)(214, 790)(215, 916)(216, 792)(217, 906)(218, 875)(219, 897)(220, 919)(221, 796)(222, 881)(223, 800)(224, 921)(225, 923)(226, 890)(227, 804)(228, 837)(229, 925)(230, 807)(231, 849)(232, 928)(233, 930)(234, 811)(235, 858)(236, 933)(237, 934)(238, 815)(239, 936)(240, 840)(241, 862)(242, 938)(243, 819)(244, 927)(245, 821)(246, 942)(247, 823)(248, 932)(249, 844)(250, 866)(251, 945)(252, 827)(253, 850)(254, 831)(255, 947)(256, 949)(257, 859)(258, 835)(259, 838)(260, 931)(261, 853)(262, 841)(263, 940)(264, 842)(265, 926)(266, 857)(267, 845)(268, 846)(269, 935)(270, 848)(271, 939)(272, 851)(273, 937)(274, 929)(275, 948)(276, 855)(277, 944)(278, 943)(279, 860)(280, 950)(281, 864)(282, 941)(283, 865)(284, 946)(285, 869)(286, 905)(287, 884)(288, 872)(289, 914)(290, 873)(291, 900)(292, 888)(293, 876)(294, 877)(295, 909)(296, 879)(297, 913)(298, 882)(299, 911)(300, 903)(301, 922)(302, 886)(303, 918)(304, 917)(305, 891)(306, 924)(307, 895)(308, 915)(309, 896)(310, 920)(311, 959)(312, 958)(313, 957)(314, 956)(315, 960)(316, 954)(317, 953)(318, 952)(319, 951)(320, 955)(321, 961)(322, 962)(323, 963)(324, 964)(325, 965)(326, 966)(327, 967)(328, 968)(329, 969)(330, 970)(331, 971)(332, 972)(333, 973)(334, 974)(335, 975)(336, 976)(337, 977)(338, 978)(339, 979)(340, 980)(341, 981)(342, 982)(343, 983)(344, 984)(345, 985)(346, 986)(347, 987)(348, 988)(349, 989)(350, 990)(351, 991)(352, 992)(353, 993)(354, 994)(355, 995)(356, 996)(357, 997)(358, 998)(359, 999)(360, 1000)(361, 1001)(362, 1002)(363, 1003)(364, 1004)(365, 1005)(366, 1006)(367, 1007)(368, 1008)(369, 1009)(370, 1010)(371, 1011)(372, 1012)(373, 1013)(374, 1014)(375, 1015)(376, 1016)(377, 1017)(378, 1018)(379, 1019)(380, 1020)(381, 1021)(382, 1022)(383, 1023)(384, 1024)(385, 1025)(386, 1026)(387, 1027)(388, 1028)(389, 1029)(390, 1030)(391, 1031)(392, 1032)(393, 1033)(394, 1034)(395, 1035)(396, 1036)(397, 1037)(398, 1038)(399, 1039)(400, 1040)(401, 1041)(402, 1042)(403, 1043)(404, 1044)(405, 1045)(406, 1046)(407, 1047)(408, 1048)(409, 1049)(410, 1050)(411, 1051)(412, 1052)(413, 1053)(414, 1054)(415, 1055)(416, 1056)(417, 1057)(418, 1058)(419, 1059)(420, 1060)(421, 1061)(422, 1062)(423, 1063)(424, 1064)(425, 1065)(426, 1066)(427, 1067)(428, 1068)(429, 1069)(430, 1070)(431, 1071)(432, 1072)(433, 1073)(434, 1074)(435, 1075)(436, 1076)(437, 1077)(438, 1078)(439, 1079)(440, 1080)(441, 1081)(442, 1082)(443, 1083)(444, 1084)(445, 1085)(446, 1086)(447, 1087)(448, 1088)(449, 1089)(450, 1090)(451, 1091)(452, 1092)(453, 1093)(454, 1094)(455, 1095)(456, 1096)(457, 1097)(458, 1098)(459, 1099)(460, 1100)(461, 1101)(462, 1102)(463, 1103)(464, 1104)(465, 1105)(466, 1106)(467, 1107)(468, 1108)(469, 1109)(470, 1110)(471, 1111)(472, 1112)(473, 1113)(474, 1114)(475, 1115)(476, 1116)(477, 1117)(478, 1118)(479, 1119)(480, 1120)(481, 1121)(482, 1122)(483, 1123)(484, 1124)(485, 1125)(486, 1126)(487, 1127)(488, 1128)(489, 1129)(490, 1130)(491, 1131)(492, 1132)(493, 1133)(494, 1134)(495, 1135)(496, 1136)(497, 1137)(498, 1138)(499, 1139)(500, 1140)(501, 1141)(502, 1142)(503, 1143)(504, 1144)(505, 1145)(506, 1146)(507, 1147)(508, 1148)(509, 1149)(510, 1150)(511, 1151)(512, 1152)(513, 1153)(514, 1154)(515, 1155)(516, 1156)(517, 1157)(518, 1158)(519, 1159)(520, 1160)(521, 1161)(522, 1162)(523, 1163)(524, 1164)(525, 1165)(526, 1166)(527, 1167)(528, 1168)(529, 1169)(530, 1170)(531, 1171)(532, 1172)(533, 1173)(534, 1174)(535, 1175)(536, 1176)(537, 1177)(538, 1178)(539, 1179)(540, 1180)(541, 1181)(542, 1182)(543, 1183)(544, 1184)(545, 1185)(546, 1186)(547, 1187)(548, 1188)(549, 1189)(550, 1190)(551, 1191)(552, 1192)(553, 1193)(554, 1194)(555, 1195)(556, 1196)(557, 1197)(558, 1198)(559, 1199)(560, 1200)(561, 1201)(562, 1202)(563, 1203)(564, 1204)(565, 1205)(566, 1206)(567, 1207)(568, 1208)(569, 1209)(570, 1210)(571, 1211)(572, 1212)(573, 1213)(574, 1214)(575, 1215)(576, 1216)(577, 1217)(578, 1218)(579, 1219)(580, 1220)(581, 1221)(582, 1222)(583, 1223)(584, 1224)(585, 1225)(586, 1226)(587, 1227)(588, 1228)(589, 1229)(590, 1230)(591, 1231)(592, 1232)(593, 1233)(594, 1234)(595, 1235)(596, 1236)(597, 1237)(598, 1238)(599, 1239)(600, 1240)(601, 1241)(602, 1242)(603, 1243)(604, 1244)(605, 1245)(606, 1246)(607, 1247)(608, 1248)(609, 1249)(610, 1250)(611, 1251)(612, 1252)(613, 1253)(614, 1254)(615, 1255)(616, 1256)(617, 1257)(618, 1258)(619, 1259)(620, 1260)(621, 1261)(622, 1262)(623, 1263)(624, 1264)(625, 1265)(626, 1266)(627, 1267)(628, 1268)(629, 1269)(630, 1270)(631, 1271)(632, 1272)(633, 1273)(634, 1274)(635, 1275)(636, 1276)(637, 1277)(638, 1278)(639, 1279)(640, 1280)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.1049
Graph:: bipartite
	v = 240 e = 640 f = 384
	degree seq :: [ 4^160, 8^80 ]

E9.1047 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^5, (Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2)^2, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 ]
Map::
	R = (1, 321, 2, 322, 6, 326, 4, 324)(3, 323, 9, 329, 21, 341, 11, 331)(5, 325, 13, 333, 18, 338, 7, 327)(8, 328, 19, 339, 32, 352, 15, 335)(10, 330, 23, 343, 44, 364, 24, 344)(12, 332, 16, 336, 33, 353, 27, 347)(14, 334, 30, 350, 53, 373, 28, 348)(17, 337, 35, 355, 63, 383, 36, 356)(20, 340, 40, 360, 69, 389, 38, 358)(22, 342, 43, 363, 74, 394, 41, 361)(25, 345, 42, 362, 75, 395, 48, 368)(26, 346, 49, 369, 86, 406, 50, 370)(29, 349, 54, 374, 67, 387, 37, 357)(31, 351, 57, 377, 98, 418, 58, 378)(34, 354, 62, 382, 104, 424, 60, 380)(39, 359, 70, 390, 102, 422, 59, 379)(45, 365, 80, 400, 132, 452, 78, 398)(46, 366, 79, 399, 133, 453, 82, 402)(47, 367, 83, 403, 139, 459, 84, 404)(51, 371, 61, 381, 105, 425, 90, 410)(52, 372, 91, 411, 151, 471, 92, 412)(55, 375, 96, 416, 157, 477, 94, 414)(56, 376, 97, 417, 155, 475, 93, 413)(64, 384, 110, 430, 178, 498, 108, 428)(65, 385, 109, 429, 179, 499, 112, 432)(66, 386, 113, 433, 185, 505, 114, 434)(68, 388, 116, 436, 190, 510, 117, 437)(71, 391, 121, 441, 196, 516, 119, 439)(72, 392, 122, 442, 194, 514, 118, 438)(73, 393, 123, 443, 201, 521, 124, 444)(76, 396, 128, 448, 207, 527, 126, 446)(77, 397, 129, 449, 205, 525, 125, 445)(81, 401, 136, 456, 165, 485, 137, 457)(85, 405, 127, 447, 208, 528, 143, 463)(87, 407, 146, 466, 226, 546, 144, 464)(88, 408, 145, 465, 227, 547, 147, 467)(89, 409, 148, 468, 217, 537, 149, 469)(95, 415, 158, 478, 189, 509, 115, 435)(99, 419, 164, 484, 244, 564, 162, 482)(100, 420, 163, 483, 245, 565, 166, 486)(101, 421, 167, 487, 248, 568, 168, 488)(103, 423, 170, 490, 253, 573, 171, 491)(106, 426, 175, 495, 259, 579, 173, 493)(107, 427, 176, 496, 257, 577, 172, 492)(111, 431, 182, 502, 130, 450, 183, 503)(120, 440, 197, 517, 252, 572, 169, 489)(131, 451, 212, 532, 272, 592, 191, 511)(134, 454, 193, 513, 274, 594, 214, 534)(135, 455, 216, 536, 287, 607, 213, 533)(138, 458, 215, 535, 251, 571, 219, 539)(140, 460, 220, 540, 264, 584, 181, 501)(141, 461, 187, 507, 250, 570, 221, 541)(142, 462, 222, 542, 242, 562, 223, 543)(150, 470, 174, 494, 260, 580, 232, 552)(152, 472, 225, 545, 291, 611, 233, 553)(153, 473, 234, 554, 276, 596, 195, 515)(154, 474, 235, 555, 293, 613, 228, 548)(156, 476, 203, 523, 282, 602, 237, 557)(159, 479, 240, 560, 218, 538, 238, 558)(160, 480, 199, 519, 262, 582, 210, 530)(161, 481, 241, 561, 261, 581, 236, 556)(177, 497, 263, 583, 302, 622, 254, 574)(180, 500, 256, 576, 304, 624, 265, 585)(184, 504, 266, 586, 231, 551, 267, 587)(186, 506, 268, 588, 300, 620, 247, 567)(188, 508, 269, 589, 230, 550, 270, 590)(192, 512, 273, 593, 297, 617, 258, 578)(198, 518, 279, 599, 211, 531, 277, 597)(200, 520, 280, 600, 209, 529, 275, 595)(202, 522, 243, 563, 299, 619, 281, 601)(204, 524, 283, 603, 301, 621, 246, 566)(206, 526, 255, 575, 303, 623, 284, 604)(224, 544, 271, 591, 239, 559, 278, 598)(229, 549, 249, 569, 289, 609, 292, 612)(285, 605, 313, 633, 317, 637, 309, 629)(286, 606, 307, 627, 298, 618, 314, 634)(288, 608, 311, 631, 320, 640, 315, 635)(290, 610, 312, 632, 295, 615, 306, 626)(294, 614, 316, 636, 319, 639, 305, 625)(296, 616, 310, 630, 318, 638, 308, 628)(641, 961, 643, 963, 650, 970, 654, 974, 645, 965)(642, 962, 647, 967, 657, 977, 660, 980, 648, 968)(644, 964, 652, 972, 666, 986, 662, 982, 649, 969)(646, 966, 655, 975, 671, 991, 674, 994, 656, 976)(651, 971, 665, 985, 687, 1007, 685, 1005, 663, 983)(653, 973, 668, 988, 692, 1012, 695, 1015, 669, 989)(658, 978, 677, 997, 706, 1026, 704, 1024, 675, 995)(659, 979, 678, 998, 708, 1028, 711, 1031, 679, 999)(661, 981, 681, 1001, 713, 1033, 716, 1036, 682, 1002)(664, 984, 686, 1006, 721, 1041, 696, 1016, 670, 990)(667, 987, 691, 1011, 729, 1049, 727, 1047, 689, 1009)(672, 992, 699, 1019, 741, 1061, 739, 1059, 697, 1017)(673, 993, 700, 1020, 743, 1063, 746, 1066, 701, 1021)(676, 996, 705, 1025, 751, 1071, 712, 1032, 680, 1000)(683, 1003, 690, 1010, 728, 1048, 770, 1090, 717, 1037)(684, 1004, 718, 1038, 771, 1091, 774, 1094, 719, 1039)(688, 1008, 725, 1045, 782, 1102, 780, 1100, 723, 1043)(693, 1013, 733, 1053, 794, 1114, 792, 1112, 731, 1051)(694, 1014, 734, 1054, 796, 1116, 799, 1119, 735, 1055)(698, 1018, 740, 1060, 805, 1125, 747, 1067, 702, 1022)(703, 1023, 748, 1068, 817, 1137, 820, 1140, 749, 1069)(707, 1027, 755, 1075, 828, 1148, 826, 1146, 753, 1073)(709, 1029, 758, 1078, 833, 1153, 831, 1151, 756, 1076)(710, 1030, 759, 1079, 835, 1155, 838, 1158, 760, 1080)(714, 1034, 765, 1085, 844, 1164, 842, 1162, 763, 1083)(715, 1035, 766, 1086, 846, 1166, 849, 1169, 767, 1087)(720, 1040, 724, 1044, 781, 1101, 857, 1177, 775, 1095)(722, 1042, 778, 1098, 858, 1178, 816, 1136, 776, 1096)(726, 1046, 784, 1104, 865, 1185, 868, 1188, 785, 1105)(730, 1050, 790, 1110, 871, 1191, 856, 1176, 788, 1108)(732, 1052, 793, 1113, 836, 1156, 800, 1120, 736, 1056)(737, 1057, 777, 1097, 806, 1126, 882, 1202, 801, 1121)(738, 1058, 802, 1122, 883, 1203, 886, 1206, 803, 1123)(742, 1062, 809, 1129, 891, 1211, 889, 1209, 807, 1127)(744, 1064, 812, 1132, 896, 1216, 894, 1214, 810, 1130)(745, 1065, 813, 1133, 898, 1218, 901, 1221, 814, 1134)(750, 1070, 754, 1074, 827, 1147, 779, 1099, 821, 1141)(752, 1072, 824, 1144, 851, 1171, 769, 1089, 822, 1142)(757, 1077, 832, 1152, 899, 1219, 839, 1159, 761, 1081)(762, 1082, 823, 1143, 787, 1107, 870, 1190, 840, 1160)(764, 1084, 843, 1163, 797, 1117, 850, 1170, 768, 1088)(772, 1092, 853, 1173, 926, 1246, 925, 1245, 852, 1172)(773, 1093, 854, 1174, 928, 1248, 929, 1249, 855, 1175)(783, 1103, 864, 1184, 900, 1220, 881, 1201, 862, 1182)(786, 1106, 789, 1109, 861, 1181, 888, 1208, 869, 1189)(791, 1111, 873, 1193, 934, 1254, 935, 1255, 874, 1194)(795, 1115, 876, 1196, 937, 1257, 936, 1256, 875, 1195)(798, 1118, 878, 1198, 859, 1179, 892, 1212, 879, 1199)(804, 1124, 808, 1128, 890, 1210, 825, 1145, 887, 1207)(811, 1131, 895, 1215, 847, 1167, 902, 1222, 815, 1135)(818, 1138, 904, 1224, 946, 1266, 945, 1265, 903, 1223)(819, 1139, 905, 1225, 947, 1267, 927, 1247, 906, 1226)(829, 1149, 911, 1231, 848, 1168, 920, 1240, 909, 1229)(830, 1150, 912, 1232, 949, 1269, 950, 1270, 913, 1233)(834, 1154, 915, 1235, 924, 1244, 951, 1271, 914, 1234)(837, 1157, 917, 1237, 907, 1227, 872, 1192, 918, 1238)(841, 1161, 921, 1241, 953, 1273, 954, 1274, 922, 1242)(845, 1165, 919, 1239, 916, 1236, 952, 1272, 923, 1243)(860, 1180, 863, 1183, 885, 1205, 941, 1261, 930, 1250)(866, 1186, 932, 1252, 955, 1275, 956, 1276, 931, 1251)(867, 1187, 933, 1253, 948, 1268, 908, 1228, 910, 1230)(877, 1197, 938, 1258, 944, 1264, 897, 1217, 880, 1200)(884, 1204, 940, 1260, 958, 1278, 957, 1277, 939, 1259)(893, 1213, 942, 1262, 959, 1279, 960, 1280, 943, 1263)
	L = (1, 643)(2, 647)(3, 650)(4, 652)(5, 641)(6, 655)(7, 657)(8, 642)(9, 644)(10, 654)(11, 665)(12, 666)(13, 668)(14, 645)(15, 671)(16, 646)(17, 660)(18, 677)(19, 678)(20, 648)(21, 681)(22, 649)(23, 651)(24, 686)(25, 687)(26, 662)(27, 691)(28, 692)(29, 653)(30, 664)(31, 674)(32, 699)(33, 700)(34, 656)(35, 658)(36, 705)(37, 706)(38, 708)(39, 659)(40, 676)(41, 713)(42, 661)(43, 690)(44, 718)(45, 663)(46, 721)(47, 685)(48, 725)(49, 667)(50, 728)(51, 729)(52, 695)(53, 733)(54, 734)(55, 669)(56, 670)(57, 672)(58, 740)(59, 741)(60, 743)(61, 673)(62, 698)(63, 748)(64, 675)(65, 751)(66, 704)(67, 755)(68, 711)(69, 758)(70, 759)(71, 679)(72, 680)(73, 716)(74, 765)(75, 766)(76, 682)(77, 683)(78, 771)(79, 684)(80, 724)(81, 696)(82, 778)(83, 688)(84, 781)(85, 782)(86, 784)(87, 689)(88, 770)(89, 727)(90, 790)(91, 693)(92, 793)(93, 794)(94, 796)(95, 694)(96, 732)(97, 777)(98, 802)(99, 697)(100, 805)(101, 739)(102, 809)(103, 746)(104, 812)(105, 813)(106, 701)(107, 702)(108, 817)(109, 703)(110, 754)(111, 712)(112, 824)(113, 707)(114, 827)(115, 828)(116, 709)(117, 832)(118, 833)(119, 835)(120, 710)(121, 757)(122, 823)(123, 714)(124, 843)(125, 844)(126, 846)(127, 715)(128, 764)(129, 822)(130, 717)(131, 774)(132, 853)(133, 854)(134, 719)(135, 720)(136, 722)(137, 806)(138, 858)(139, 821)(140, 723)(141, 857)(142, 780)(143, 864)(144, 865)(145, 726)(146, 789)(147, 870)(148, 730)(149, 861)(150, 871)(151, 873)(152, 731)(153, 836)(154, 792)(155, 876)(156, 799)(157, 850)(158, 878)(159, 735)(160, 736)(161, 737)(162, 883)(163, 738)(164, 808)(165, 747)(166, 882)(167, 742)(168, 890)(169, 891)(170, 744)(171, 895)(172, 896)(173, 898)(174, 745)(175, 811)(176, 776)(177, 820)(178, 904)(179, 905)(180, 749)(181, 750)(182, 752)(183, 787)(184, 851)(185, 887)(186, 753)(187, 779)(188, 826)(189, 911)(190, 912)(191, 756)(192, 899)(193, 831)(194, 915)(195, 838)(196, 800)(197, 917)(198, 760)(199, 761)(200, 762)(201, 921)(202, 763)(203, 797)(204, 842)(205, 919)(206, 849)(207, 902)(208, 920)(209, 767)(210, 768)(211, 769)(212, 772)(213, 926)(214, 928)(215, 773)(216, 788)(217, 775)(218, 816)(219, 892)(220, 863)(221, 888)(222, 783)(223, 885)(224, 900)(225, 868)(226, 932)(227, 933)(228, 785)(229, 786)(230, 840)(231, 856)(232, 918)(233, 934)(234, 791)(235, 795)(236, 937)(237, 938)(238, 859)(239, 798)(240, 877)(241, 862)(242, 801)(243, 886)(244, 940)(245, 941)(246, 803)(247, 804)(248, 869)(249, 807)(250, 825)(251, 889)(252, 879)(253, 942)(254, 810)(255, 847)(256, 894)(257, 880)(258, 901)(259, 839)(260, 881)(261, 814)(262, 815)(263, 818)(264, 946)(265, 947)(266, 819)(267, 872)(268, 910)(269, 829)(270, 867)(271, 848)(272, 949)(273, 830)(274, 834)(275, 924)(276, 952)(277, 907)(278, 837)(279, 916)(280, 909)(281, 953)(282, 841)(283, 845)(284, 951)(285, 852)(286, 925)(287, 906)(288, 929)(289, 855)(290, 860)(291, 866)(292, 955)(293, 948)(294, 935)(295, 874)(296, 875)(297, 936)(298, 944)(299, 884)(300, 958)(301, 930)(302, 959)(303, 893)(304, 897)(305, 903)(306, 945)(307, 927)(308, 908)(309, 950)(310, 913)(311, 914)(312, 923)(313, 954)(314, 922)(315, 956)(316, 931)(317, 939)(318, 957)(319, 960)(320, 943)(321, 961)(322, 962)(323, 963)(324, 964)(325, 965)(326, 966)(327, 967)(328, 968)(329, 969)(330, 970)(331, 971)(332, 972)(333, 973)(334, 974)(335, 975)(336, 976)(337, 977)(338, 978)(339, 979)(340, 980)(341, 981)(342, 982)(343, 983)(344, 984)(345, 985)(346, 986)(347, 987)(348, 988)(349, 989)(350, 990)(351, 991)(352, 992)(353, 993)(354, 994)(355, 995)(356, 996)(357, 997)(358, 998)(359, 999)(360, 1000)(361, 1001)(362, 1002)(363, 1003)(364, 1004)(365, 1005)(366, 1006)(367, 1007)(368, 1008)(369, 1009)(370, 1010)(371, 1011)(372, 1012)(373, 1013)(374, 1014)(375, 1015)(376, 1016)(377, 1017)(378, 1018)(379, 1019)(380, 1020)(381, 1021)(382, 1022)(383, 1023)(384, 1024)(385, 1025)(386, 1026)(387, 1027)(388, 1028)(389, 1029)(390, 1030)(391, 1031)(392, 1032)(393, 1033)(394, 1034)(395, 1035)(396, 1036)(397, 1037)(398, 1038)(399, 1039)(400, 1040)(401, 1041)(402, 1042)(403, 1043)(404, 1044)(405, 1045)(406, 1046)(407, 1047)(408, 1048)(409, 1049)(410, 1050)(411, 1051)(412, 1052)(413, 1053)(414, 1054)(415, 1055)(416, 1056)(417, 1057)(418, 1058)(419, 1059)(420, 1060)(421, 1061)(422, 1062)(423, 1063)(424, 1064)(425, 1065)(426, 1066)(427, 1067)(428, 1068)(429, 1069)(430, 1070)(431, 1071)(432, 1072)(433, 1073)(434, 1074)(435, 1075)(436, 1076)(437, 1077)(438, 1078)(439, 1079)(440, 1080)(441, 1081)(442, 1082)(443, 1083)(444, 1084)(445, 1085)(446, 1086)(447, 1087)(448, 1088)(449, 1089)(450, 1090)(451, 1091)(452, 1092)(453, 1093)(454, 1094)(455, 1095)(456, 1096)(457, 1097)(458, 1098)(459, 1099)(460, 1100)(461, 1101)(462, 1102)(463, 1103)(464, 1104)(465, 1105)(466, 1106)(467, 1107)(468, 1108)(469, 1109)(470, 1110)(471, 1111)(472, 1112)(473, 1113)(474, 1114)(475, 1115)(476, 1116)(477, 1117)(478, 1118)(479, 1119)(480, 1120)(481, 1121)(482, 1122)(483, 1123)(484, 1124)(485, 1125)(486, 1126)(487, 1127)(488, 1128)(489, 1129)(490, 1130)(491, 1131)(492, 1132)(493, 1133)(494, 1134)(495, 1135)(496, 1136)(497, 1137)(498, 1138)(499, 1139)(500, 1140)(501, 1141)(502, 1142)(503, 1143)(504, 1144)(505, 1145)(506, 1146)(507, 1147)(508, 1148)(509, 1149)(510, 1150)(511, 1151)(512, 1152)(513, 1153)(514, 1154)(515, 1155)(516, 1156)(517, 1157)(518, 1158)(519, 1159)(520, 1160)(521, 1161)(522, 1162)(523, 1163)(524, 1164)(525, 1165)(526, 1166)(527, 1167)(528, 1168)(529, 1169)(530, 1170)(531, 1171)(532, 1172)(533, 1173)(534, 1174)(535, 1175)(536, 1176)(537, 1177)(538, 1178)(539, 1179)(540, 1180)(541, 1181)(542, 1182)(543, 1183)(544, 1184)(545, 1185)(546, 1186)(547, 1187)(548, 1188)(549, 1189)(550, 1190)(551, 1191)(552, 1192)(553, 1193)(554, 1194)(555, 1195)(556, 1196)(557, 1197)(558, 1198)(559, 1199)(560, 1200)(561, 1201)(562, 1202)(563, 1203)(564, 1204)(565, 1205)(566, 1206)(567, 1207)(568, 1208)(569, 1209)(570, 1210)(571, 1211)(572, 1212)(573, 1213)(574, 1214)(575, 1215)(576, 1216)(577, 1217)(578, 1218)(579, 1219)(580, 1220)(581, 1221)(582, 1222)(583, 1223)(584, 1224)(585, 1225)(586, 1226)(587, 1227)(588, 1228)(589, 1229)(590, 1230)(591, 1231)(592, 1232)(593, 1233)(594, 1234)(595, 1235)(596, 1236)(597, 1237)(598, 1238)(599, 1239)(600, 1240)(601, 1241)(602, 1242)(603, 1243)(604, 1244)(605, 1245)(606, 1246)(607, 1247)(608, 1248)(609, 1249)(610, 1250)(611, 1251)(612, 1252)(613, 1253)(614, 1254)(615, 1255)(616, 1256)(617, 1257)(618, 1258)(619, 1259)(620, 1260)(621, 1261)(622, 1262)(623, 1263)(624, 1264)(625, 1265)(626, 1266)(627, 1267)(628, 1268)(629, 1269)(630, 1270)(631, 1271)(632, 1272)(633, 1273)(634, 1274)(635, 1275)(636, 1276)(637, 1277)(638, 1278)(639, 1279)(640, 1280)
	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 E9.1048
Graph:: bipartite
	v = 144 e = 640 f = 480
	degree seq :: [ 8^80, 10^64 ]

E9.1048 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-1 * Y1^-1)^5, (Y3^-1 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)(641, 961, 642, 962)(643, 963, 647, 967)(644, 964, 649, 969)(645, 965, 651, 971)(646, 966, 653, 973)(648, 968, 657, 977)(650, 970, 660, 980)(652, 972, 663, 983)(654, 974, 666, 986)(655, 975, 665, 985)(656, 976, 668, 988)(658, 978, 672, 992)(659, 979, 661, 981)(662, 982, 678, 998)(664, 984, 682, 1002)(667, 987, 687, 1007)(669, 989, 690, 1010)(670, 990, 689, 1009)(671, 991, 692, 1012)(673, 993, 696, 1016)(674, 994, 697, 1017)(675, 995, 698, 1018)(676, 996, 694, 1014)(677, 997, 701, 1021)(679, 999, 704, 1024)(680, 1000, 703, 1023)(681, 1001, 706, 1026)(683, 1003, 710, 1030)(684, 1004, 711, 1031)(685, 1005, 712, 1032)(686, 1006, 708, 1028)(688, 1008, 717, 1037)(691, 1011, 722, 1042)(693, 1013, 724, 1044)(695, 1015, 726, 1046)(699, 1019, 733, 1053)(700, 1020, 734, 1054)(702, 1022, 737, 1057)(705, 1025, 742, 1062)(707, 1027, 744, 1064)(709, 1029, 746, 1066)(713, 1033, 753, 1073)(714, 1034, 754, 1074)(715, 1035, 751, 1071)(716, 1036, 756, 1076)(718, 1038, 760, 1080)(719, 1039, 761, 1081)(720, 1040, 762, 1082)(721, 1041, 758, 1078)(723, 1043, 767, 1087)(725, 1045, 771, 1091)(727, 1047, 774, 1094)(728, 1048, 773, 1093)(729, 1049, 776, 1096)(730, 1050, 778, 1098)(731, 1051, 735, 1055)(732, 1052, 781, 1101)(736, 1056, 787, 1107)(738, 1058, 791, 1111)(739, 1059, 792, 1112)(740, 1060, 793, 1113)(741, 1061, 789, 1109)(743, 1063, 798, 1118)(745, 1065, 802, 1122)(747, 1067, 805, 1125)(748, 1068, 804, 1124)(749, 1069, 807, 1127)(750, 1070, 809, 1129)(752, 1072, 812, 1132)(755, 1075, 817, 1137)(757, 1077, 819, 1139)(759, 1079, 821, 1141)(763, 1083, 800, 1120)(764, 1084, 797, 1117)(765, 1085, 826, 1146)(766, 1086, 795, 1115)(768, 1088, 799, 1119)(769, 1089, 794, 1114)(770, 1090, 830, 1150)(772, 1092, 836, 1156)(775, 1095, 815, 1135)(777, 1097, 814, 1134)(779, 1099, 839, 1159)(780, 1100, 840, 1160)(782, 1102, 842, 1162)(783, 1103, 808, 1128)(784, 1104, 806, 1126)(785, 1105, 834, 1154)(786, 1106, 847, 1167)(788, 1108, 849, 1169)(790, 1110, 851, 1171)(796, 1116, 856, 1176)(801, 1121, 860, 1180)(803, 1123, 866, 1186)(810, 1130, 869, 1189)(811, 1131, 870, 1190)(813, 1133, 872, 1192)(816, 1136, 864, 1184)(818, 1138, 879, 1199)(820, 1140, 882, 1202)(822, 1142, 867, 1187)(823, 1143, 884, 1204)(824, 1144, 885, 1205)(825, 1145, 886, 1206)(827, 1147, 889, 1209)(828, 1148, 890, 1210)(829, 1149, 891, 1211)(831, 1151, 871, 1191)(832, 1152, 880, 1200)(833, 1153, 878, 1198)(835, 1155, 895, 1215)(837, 1157, 852, 1172)(838, 1158, 898, 1218)(841, 1161, 861, 1181)(843, 1163, 901, 1221)(844, 1164, 900, 1220)(845, 1165, 905, 1225)(846, 1166, 906, 1226)(848, 1168, 909, 1229)(850, 1170, 912, 1232)(853, 1173, 914, 1234)(854, 1174, 915, 1235)(855, 1175, 916, 1236)(857, 1177, 919, 1239)(858, 1178, 920, 1240)(859, 1179, 921, 1241)(862, 1182, 910, 1230)(863, 1183, 908, 1228)(865, 1185, 925, 1245)(868, 1188, 928, 1248)(873, 1193, 931, 1251)(874, 1194, 930, 1250)(875, 1195, 935, 1255)(876, 1196, 936, 1256)(877, 1197, 932, 1252)(881, 1201, 939, 1259)(883, 1203, 927, 1247)(887, 1207, 922, 1242)(888, 1208, 943, 1263)(892, 1212, 917, 1237)(893, 1213, 941, 1261)(894, 1214, 945, 1265)(896, 1216, 934, 1254)(897, 1217, 913, 1233)(899, 1219, 942, 1262)(902, 1222, 907, 1227)(903, 1223, 946, 1266)(904, 1224, 926, 1246)(911, 1231, 951, 1271)(918, 1238, 938, 1258)(923, 1243, 953, 1273)(924, 1244, 947, 1267)(929, 1249, 954, 1274)(933, 1253, 956, 1276)(937, 1257, 955, 1275)(940, 1260, 952, 1272)(944, 1264, 950, 1270)(948, 1268, 958, 1278)(949, 1269, 957, 1277)(959, 1279, 960, 1280)
	L = (1, 643)(2, 645)(3, 648)(4, 641)(5, 652)(6, 642)(7, 655)(8, 650)(9, 658)(10, 644)(11, 661)(12, 654)(13, 664)(14, 646)(15, 667)(16, 647)(17, 670)(18, 673)(19, 649)(20, 675)(21, 677)(22, 651)(23, 680)(24, 683)(25, 653)(26, 685)(27, 669)(28, 688)(29, 656)(30, 691)(31, 657)(32, 694)(33, 674)(34, 659)(35, 699)(36, 660)(37, 679)(38, 702)(39, 662)(40, 705)(41, 663)(42, 708)(43, 684)(44, 665)(45, 713)(46, 666)(47, 715)(48, 718)(49, 668)(50, 720)(51, 693)(52, 723)(53, 671)(54, 725)(55, 672)(56, 728)(57, 730)(58, 692)(59, 700)(60, 676)(61, 735)(62, 738)(63, 678)(64, 740)(65, 707)(66, 743)(67, 681)(68, 745)(69, 682)(70, 748)(71, 750)(72, 706)(73, 714)(74, 686)(75, 755)(76, 687)(77, 758)(78, 719)(79, 689)(80, 763)(81, 690)(82, 765)(83, 768)(84, 769)(85, 727)(86, 772)(87, 695)(88, 775)(89, 696)(90, 779)(91, 697)(92, 698)(93, 782)(94, 784)(95, 786)(96, 701)(97, 789)(98, 739)(99, 703)(100, 794)(101, 704)(102, 796)(103, 799)(104, 800)(105, 747)(106, 803)(107, 709)(108, 806)(109, 710)(110, 810)(111, 711)(112, 712)(113, 813)(114, 815)(115, 757)(116, 818)(117, 716)(118, 820)(119, 717)(120, 823)(121, 825)(122, 756)(123, 764)(124, 721)(125, 828)(126, 722)(127, 830)(128, 732)(129, 832)(130, 724)(131, 834)(132, 837)(133, 726)(134, 827)(135, 777)(136, 824)(137, 729)(138, 776)(139, 780)(140, 731)(141, 841)(142, 843)(143, 733)(144, 845)(145, 734)(146, 788)(147, 848)(148, 736)(149, 850)(150, 737)(151, 853)(152, 855)(153, 787)(154, 795)(155, 741)(156, 858)(157, 742)(158, 860)(159, 752)(160, 862)(161, 744)(162, 864)(163, 867)(164, 746)(165, 857)(166, 808)(167, 854)(168, 749)(169, 807)(170, 811)(171, 751)(172, 871)(173, 873)(174, 753)(175, 875)(176, 754)(177, 877)(178, 774)(179, 880)(180, 822)(181, 883)(182, 759)(183, 778)(184, 760)(185, 887)(186, 761)(187, 762)(188, 829)(189, 766)(190, 892)(191, 767)(192, 833)(193, 770)(194, 894)(195, 771)(196, 879)(197, 838)(198, 773)(199, 899)(200, 901)(201, 903)(202, 781)(203, 844)(204, 783)(205, 846)(206, 785)(207, 907)(208, 805)(209, 910)(210, 852)(211, 913)(212, 790)(213, 809)(214, 791)(215, 917)(216, 792)(217, 793)(218, 859)(219, 797)(220, 922)(221, 798)(222, 863)(223, 801)(224, 924)(225, 802)(226, 909)(227, 868)(228, 804)(229, 929)(230, 931)(231, 933)(232, 812)(233, 874)(234, 814)(235, 876)(236, 816)(237, 937)(238, 817)(239, 939)(240, 919)(241, 819)(242, 921)(243, 941)(244, 821)(245, 930)(246, 885)(247, 888)(248, 826)(249, 895)(250, 944)(251, 905)(252, 893)(253, 831)(254, 896)(255, 911)(256, 835)(257, 836)(258, 940)(259, 916)(260, 839)(261, 947)(262, 840)(263, 904)(264, 842)(265, 928)(266, 890)(267, 950)(268, 847)(269, 951)(270, 889)(271, 849)(272, 891)(273, 953)(274, 851)(275, 900)(276, 915)(277, 918)(278, 856)(279, 925)(280, 955)(281, 935)(282, 923)(283, 861)(284, 926)(285, 881)(286, 865)(287, 866)(288, 952)(289, 886)(290, 869)(291, 945)(292, 870)(293, 934)(294, 872)(295, 898)(296, 920)(297, 938)(298, 878)(299, 946)(300, 882)(301, 942)(302, 884)(303, 908)(304, 959)(305, 957)(306, 897)(307, 948)(308, 902)(309, 906)(310, 943)(311, 956)(312, 912)(313, 954)(314, 914)(315, 960)(316, 927)(317, 932)(318, 936)(319, 949)(320, 958)(321, 961)(322, 962)(323, 963)(324, 964)(325, 965)(326, 966)(327, 967)(328, 968)(329, 969)(330, 970)(331, 971)(332, 972)(333, 973)(334, 974)(335, 975)(336, 976)(337, 977)(338, 978)(339, 979)(340, 980)(341, 981)(342, 982)(343, 983)(344, 984)(345, 985)(346, 986)(347, 987)(348, 988)(349, 989)(350, 990)(351, 991)(352, 992)(353, 993)(354, 994)(355, 995)(356, 996)(357, 997)(358, 998)(359, 999)(360, 1000)(361, 1001)(362, 1002)(363, 1003)(364, 1004)(365, 1005)(366, 1006)(367, 1007)(368, 1008)(369, 1009)(370, 1010)(371, 1011)(372, 1012)(373, 1013)(374, 1014)(375, 1015)(376, 1016)(377, 1017)(378, 1018)(379, 1019)(380, 1020)(381, 1021)(382, 1022)(383, 1023)(384, 1024)(385, 1025)(386, 1026)(387, 1027)(388, 1028)(389, 1029)(390, 1030)(391, 1031)(392, 1032)(393, 1033)(394, 1034)(395, 1035)(396, 1036)(397, 1037)(398, 1038)(399, 1039)(400, 1040)(401, 1041)(402, 1042)(403, 1043)(404, 1044)(405, 1045)(406, 1046)(407, 1047)(408, 1048)(409, 1049)(410, 1050)(411, 1051)(412, 1052)(413, 1053)(414, 1054)(415, 1055)(416, 1056)(417, 1057)(418, 1058)(419, 1059)(420, 1060)(421, 1061)(422, 1062)(423, 1063)(424, 1064)(425, 1065)(426, 1066)(427, 1067)(428, 1068)(429, 1069)(430, 1070)(431, 1071)(432, 1072)(433, 1073)(434, 1074)(435, 1075)(436, 1076)(437, 1077)(438, 1078)(439, 1079)(440, 1080)(441, 1081)(442, 1082)(443, 1083)(444, 1084)(445, 1085)(446, 1086)(447, 1087)(448, 1088)(449, 1089)(450, 1090)(451, 1091)(452, 1092)(453, 1093)(454, 1094)(455, 1095)(456, 1096)(457, 1097)(458, 1098)(459, 1099)(460, 1100)(461, 1101)(462, 1102)(463, 1103)(464, 1104)(465, 1105)(466, 1106)(467, 1107)(468, 1108)(469, 1109)(470, 1110)(471, 1111)(472, 1112)(473, 1113)(474, 1114)(475, 1115)(476, 1116)(477, 1117)(478, 1118)(479, 1119)(480, 1120)(481, 1121)(482, 1122)(483, 1123)(484, 1124)(485, 1125)(486, 1126)(487, 1127)(488, 1128)(489, 1129)(490, 1130)(491, 1131)(492, 1132)(493, 1133)(494, 1134)(495, 1135)(496, 1136)(497, 1137)(498, 1138)(499, 1139)(500, 1140)(501, 1141)(502, 1142)(503, 1143)(504, 1144)(505, 1145)(506, 1146)(507, 1147)(508, 1148)(509, 1149)(510, 1150)(511, 1151)(512, 1152)(513, 1153)(514, 1154)(515, 1155)(516, 1156)(517, 1157)(518, 1158)(519, 1159)(520, 1160)(521, 1161)(522, 1162)(523, 1163)(524, 1164)(525, 1165)(526, 1166)(527, 1167)(528, 1168)(529, 1169)(530, 1170)(531, 1171)(532, 1172)(533, 1173)(534, 1174)(535, 1175)(536, 1176)(537, 1177)(538, 1178)(539, 1179)(540, 1180)(541, 1181)(542, 1182)(543, 1183)(544, 1184)(545, 1185)(546, 1186)(547, 1187)(548, 1188)(549, 1189)(550, 1190)(551, 1191)(552, 1192)(553, 1193)(554, 1194)(555, 1195)(556, 1196)(557, 1197)(558, 1198)(559, 1199)(560, 1200)(561, 1201)(562, 1202)(563, 1203)(564, 1204)(565, 1205)(566, 1206)(567, 1207)(568, 1208)(569, 1209)(570, 1210)(571, 1211)(572, 1212)(573, 1213)(574, 1214)(575, 1215)(576, 1216)(577, 1217)(578, 1218)(579, 1219)(580, 1220)(581, 1221)(582, 1222)(583, 1223)(584, 1224)(585, 1225)(586, 1226)(587, 1227)(588, 1228)(589, 1229)(590, 1230)(591, 1231)(592, 1232)(593, 1233)(594, 1234)(595, 1235)(596, 1236)(597, 1237)(598, 1238)(599, 1239)(600, 1240)(601, 1241)(602, 1242)(603, 1243)(604, 1244)(605, 1245)(606, 1246)(607, 1247)(608, 1248)(609, 1249)(610, 1250)(611, 1251)(612, 1252)(613, 1253)(614, 1254)(615, 1255)(616, 1256)(617, 1257)(618, 1258)(619, 1259)(620, 1260)(621, 1261)(622, 1262)(623, 1263)(624, 1264)(625, 1265)(626, 1266)(627, 1267)(628, 1268)(629, 1269)(630, 1270)(631, 1271)(632, 1272)(633, 1273)(634, 1274)(635, 1275)(636, 1276)(637, 1277)(638, 1278)(639, 1279)(640, 1280)
	local type(s) :: { ( 8, 10 ), ( 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.1047
Graph:: simple bipartite
	v = 480 e = 640 f = 144
	degree seq :: [ 2^320, 4^160 ]

E9.1049 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y3^2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^2 * Y1, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 321, 2, 322, 5, 325, 10, 330, 4, 324)(3, 323, 7, 327, 14, 334, 17, 337, 8, 328)(6, 326, 12, 332, 23, 343, 26, 346, 13, 333)(9, 329, 18, 338, 32, 352, 34, 354, 19, 339)(11, 331, 21, 341, 37, 357, 40, 360, 22, 342)(15, 335, 28, 348, 47, 367, 49, 369, 29, 349)(16, 336, 30, 350, 50, 370, 42, 362, 24, 344)(20, 340, 35, 355, 58, 378, 60, 380, 36, 356)(25, 345, 43, 363, 68, 388, 62, 382, 38, 358)(27, 347, 45, 365, 72, 392, 75, 395, 46, 366)(31, 351, 52, 372, 82, 402, 84, 404, 53, 373)(33, 353, 55, 375, 87, 407, 89, 409, 56, 376)(39, 359, 63, 383, 98, 418, 93, 413, 59, 379)(41, 361, 65, 385, 102, 422, 105, 425, 66, 386)(44, 364, 70, 390, 110, 430, 112, 432, 71, 391)(48, 368, 77, 397, 119, 439, 114, 434, 73, 393)(51, 371, 80, 400, 125, 445, 127, 447, 81, 401)(54, 374, 85, 405, 131, 451, 134, 454, 86, 406)(57, 377, 90, 410, 138, 458, 140, 460, 91, 411)(61, 381, 95, 415, 146, 466, 149, 469, 96, 416)(64, 384, 100, 420, 154, 474, 156, 476, 101, 421)(67, 387, 106, 426, 161, 481, 158, 478, 103, 423)(69, 389, 108, 428, 165, 485, 167, 487, 109, 429)(74, 394, 115, 435, 151, 471, 129, 449, 83, 403)(76, 396, 117, 437, 175, 495, 177, 497, 118, 438)(78, 398, 121, 441, 155, 475, 148, 468, 122, 442)(79, 399, 123, 443, 182, 502, 185, 505, 124, 444)(88, 408, 136, 456, 197, 517, 194, 514, 132, 452)(92, 412, 141, 461, 201, 521, 203, 523, 142, 462)(94, 414, 144, 464, 205, 525, 206, 526, 145, 465)(97, 417, 150, 470, 210, 530, 208, 528, 147, 467)(99, 419, 152, 472, 212, 532, 214, 534, 153, 473)(104, 424, 159, 479, 137, 457, 169, 489, 111, 431)(107, 427, 163, 483, 139, 459, 133, 453, 164, 484)(113, 433, 171, 491, 231, 551, 230, 550, 170, 490)(116, 436, 168, 488, 228, 548, 236, 556, 174, 494)(120, 440, 179, 499, 241, 561, 243, 563, 180, 500)(126, 446, 187, 507, 227, 547, 245, 565, 183, 503)(128, 448, 189, 509, 249, 569, 251, 571, 190, 510)(130, 450, 192, 512, 252, 572, 253, 573, 193, 513)(135, 455, 195, 515, 255, 575, 257, 577, 196, 516)(143, 463, 204, 524, 264, 584, 263, 583, 202, 522)(157, 477, 217, 537, 277, 597, 276, 596, 216, 536)(160, 480, 215, 535, 275, 595, 281, 601, 220, 540)(162, 482, 184, 504, 240, 560, 178, 498, 222, 542)(166, 486, 226, 546, 274, 594, 284, 604, 223, 543)(172, 492, 233, 553, 272, 592, 290, 610, 232, 552)(173, 493, 234, 554, 270, 590, 292, 612, 235, 555)(176, 496, 238, 558, 188, 508, 244, 564, 181, 501)(186, 506, 246, 566, 300, 620, 301, 621, 247, 567)(191, 511, 213, 533, 273, 593, 302, 622, 250, 570)(198, 518, 219, 539, 280, 600, 306, 626, 258, 578)(199, 519, 259, 579, 291, 611, 297, 617, 260, 580)(200, 520, 261, 581, 307, 627, 308, 628, 262, 582)(207, 527, 267, 587, 310, 630, 309, 629, 266, 586)(209, 529, 265, 585, 299, 619, 312, 632, 269, 589)(211, 531, 224, 544, 282, 602, 221, 541, 271, 591)(218, 538, 279, 599, 305, 625, 316, 636, 278, 598)(225, 545, 285, 605, 303, 623, 254, 574, 286, 606)(229, 549, 256, 576, 296, 616, 239, 559, 288, 608)(237, 557, 294, 614, 311, 631, 268, 588, 293, 613)(242, 562, 298, 618, 317, 637, 313, 633, 283, 603)(248, 568, 295, 615, 318, 638, 314, 634, 287, 607)(289, 609, 315, 635, 320, 640, 319, 639, 304, 624)(641, 961)(642, 962)(643, 963)(644, 964)(645, 965)(646, 966)(647, 967)(648, 968)(649, 969)(650, 970)(651, 971)(652, 972)(653, 973)(654, 974)(655, 975)(656, 976)(657, 977)(658, 978)(659, 979)(660, 980)(661, 981)(662, 982)(663, 983)(664, 984)(665, 985)(666, 986)(667, 987)(668, 988)(669, 989)(670, 990)(671, 991)(672, 992)(673, 993)(674, 994)(675, 995)(676, 996)(677, 997)(678, 998)(679, 999)(680, 1000)(681, 1001)(682, 1002)(683, 1003)(684, 1004)(685, 1005)(686, 1006)(687, 1007)(688, 1008)(689, 1009)(690, 1010)(691, 1011)(692, 1012)(693, 1013)(694, 1014)(695, 1015)(696, 1016)(697, 1017)(698, 1018)(699, 1019)(700, 1020)(701, 1021)(702, 1022)(703, 1023)(704, 1024)(705, 1025)(706, 1026)(707, 1027)(708, 1028)(709, 1029)(710, 1030)(711, 1031)(712, 1032)(713, 1033)(714, 1034)(715, 1035)(716, 1036)(717, 1037)(718, 1038)(719, 1039)(720, 1040)(721, 1041)(722, 1042)(723, 1043)(724, 1044)(725, 1045)(726, 1046)(727, 1047)(728, 1048)(729, 1049)(730, 1050)(731, 1051)(732, 1052)(733, 1053)(734, 1054)(735, 1055)(736, 1056)(737, 1057)(738, 1058)(739, 1059)(740, 1060)(741, 1061)(742, 1062)(743, 1063)(744, 1064)(745, 1065)(746, 1066)(747, 1067)(748, 1068)(749, 1069)(750, 1070)(751, 1071)(752, 1072)(753, 1073)(754, 1074)(755, 1075)(756, 1076)(757, 1077)(758, 1078)(759, 1079)(760, 1080)(761, 1081)(762, 1082)(763, 1083)(764, 1084)(765, 1085)(766, 1086)(767, 1087)(768, 1088)(769, 1089)(770, 1090)(771, 1091)(772, 1092)(773, 1093)(774, 1094)(775, 1095)(776, 1096)(777, 1097)(778, 1098)(779, 1099)(780, 1100)(781, 1101)(782, 1102)(783, 1103)(784, 1104)(785, 1105)(786, 1106)(787, 1107)(788, 1108)(789, 1109)(790, 1110)(791, 1111)(792, 1112)(793, 1113)(794, 1114)(795, 1115)(796, 1116)(797, 1117)(798, 1118)(799, 1119)(800, 1120)(801, 1121)(802, 1122)(803, 1123)(804, 1124)(805, 1125)(806, 1126)(807, 1127)(808, 1128)(809, 1129)(810, 1130)(811, 1131)(812, 1132)(813, 1133)(814, 1134)(815, 1135)(816, 1136)(817, 1137)(818, 1138)(819, 1139)(820, 1140)(821, 1141)(822, 1142)(823, 1143)(824, 1144)(825, 1145)(826, 1146)(827, 1147)(828, 1148)(829, 1149)(830, 1150)(831, 1151)(832, 1152)(833, 1153)(834, 1154)(835, 1155)(836, 1156)(837, 1157)(838, 1158)(839, 1159)(840, 1160)(841, 1161)(842, 1162)(843, 1163)(844, 1164)(845, 1165)(846, 1166)(847, 1167)(848, 1168)(849, 1169)(850, 1170)(851, 1171)(852, 1172)(853, 1173)(854, 1174)(855, 1175)(856, 1176)(857, 1177)(858, 1178)(859, 1179)(860, 1180)(861, 1181)(862, 1182)(863, 1183)(864, 1184)(865, 1185)(866, 1186)(867, 1187)(868, 1188)(869, 1189)(870, 1190)(871, 1191)(872, 1192)(873, 1193)(874, 1194)(875, 1195)(876, 1196)(877, 1197)(878, 1198)(879, 1199)(880, 1200)(881, 1201)(882, 1202)(883, 1203)(884, 1204)(885, 1205)(886, 1206)(887, 1207)(888, 1208)(889, 1209)(890, 1210)(891, 1211)(892, 1212)(893, 1213)(894, 1214)(895, 1215)(896, 1216)(897, 1217)(898, 1218)(899, 1219)(900, 1220)(901, 1221)(902, 1222)(903, 1223)(904, 1224)(905, 1225)(906, 1226)(907, 1227)(908, 1228)(909, 1229)(910, 1230)(911, 1231)(912, 1232)(913, 1233)(914, 1234)(915, 1235)(916, 1236)(917, 1237)(918, 1238)(919, 1239)(920, 1240)(921, 1241)(922, 1242)(923, 1243)(924, 1244)(925, 1245)(926, 1246)(927, 1247)(928, 1248)(929, 1249)(930, 1250)(931, 1251)(932, 1252)(933, 1253)(934, 1254)(935, 1255)(936, 1256)(937, 1257)(938, 1258)(939, 1259)(940, 1260)(941, 1261)(942, 1262)(943, 1263)(944, 1264)(945, 1265)(946, 1266)(947, 1267)(948, 1268)(949, 1269)(950, 1270)(951, 1271)(952, 1272)(953, 1273)(954, 1274)(955, 1275)(956, 1276)(957, 1277)(958, 1278)(959, 1279)(960, 1280)
	L = (1, 643)(2, 646)(3, 641)(4, 649)(5, 651)(6, 642)(7, 655)(8, 656)(9, 644)(10, 660)(11, 645)(12, 664)(13, 665)(14, 667)(15, 647)(16, 648)(17, 671)(18, 673)(19, 668)(20, 650)(21, 678)(22, 679)(23, 681)(24, 652)(25, 653)(26, 684)(27, 654)(28, 659)(29, 688)(30, 691)(31, 657)(32, 694)(33, 658)(34, 697)(35, 699)(36, 695)(37, 701)(38, 661)(39, 662)(40, 704)(41, 663)(42, 707)(43, 709)(44, 666)(45, 713)(46, 714)(47, 716)(48, 669)(49, 718)(50, 719)(51, 670)(52, 723)(53, 720)(54, 672)(55, 676)(56, 728)(57, 674)(58, 732)(59, 675)(60, 734)(61, 677)(62, 737)(63, 739)(64, 680)(65, 743)(66, 744)(67, 682)(68, 747)(69, 683)(70, 751)(71, 748)(72, 753)(73, 685)(74, 686)(75, 756)(76, 687)(77, 760)(78, 689)(79, 690)(80, 693)(81, 766)(82, 768)(83, 692)(84, 770)(85, 772)(86, 773)(87, 775)(88, 696)(89, 777)(90, 779)(91, 757)(92, 698)(93, 783)(94, 700)(95, 787)(96, 788)(97, 702)(98, 791)(99, 703)(100, 795)(101, 792)(102, 797)(103, 705)(104, 706)(105, 800)(106, 802)(107, 708)(108, 711)(109, 806)(110, 808)(111, 710)(112, 810)(113, 712)(114, 812)(115, 813)(116, 715)(117, 731)(118, 816)(119, 818)(120, 717)(121, 821)(122, 819)(123, 823)(124, 824)(125, 826)(126, 721)(127, 828)(128, 722)(129, 831)(130, 724)(131, 832)(132, 725)(133, 726)(134, 830)(135, 727)(136, 838)(137, 729)(138, 839)(139, 730)(140, 840)(141, 842)(142, 825)(143, 733)(144, 822)(145, 835)(146, 847)(147, 735)(148, 736)(149, 849)(150, 851)(151, 738)(152, 741)(153, 853)(154, 855)(155, 740)(156, 856)(157, 742)(158, 858)(159, 859)(160, 745)(161, 861)(162, 746)(163, 863)(164, 864)(165, 865)(166, 749)(167, 867)(168, 750)(169, 869)(170, 752)(171, 872)(172, 754)(173, 755)(174, 874)(175, 877)(176, 758)(177, 879)(178, 759)(179, 762)(180, 882)(181, 761)(182, 784)(183, 763)(184, 764)(185, 782)(186, 765)(187, 888)(188, 767)(189, 890)(190, 774)(191, 769)(192, 771)(193, 886)(194, 894)(195, 785)(196, 896)(197, 883)(198, 776)(199, 778)(200, 780)(201, 901)(202, 781)(203, 900)(204, 875)(205, 905)(206, 906)(207, 786)(208, 908)(209, 789)(210, 910)(211, 790)(212, 912)(213, 793)(214, 914)(215, 794)(216, 796)(217, 918)(218, 798)(219, 799)(220, 920)(221, 801)(222, 923)(223, 803)(224, 804)(225, 805)(226, 927)(227, 807)(228, 928)(229, 809)(230, 925)(231, 929)(232, 811)(233, 931)(234, 814)(235, 844)(236, 933)(237, 815)(238, 935)(239, 817)(240, 937)(241, 909)(242, 820)(243, 837)(244, 915)(245, 939)(246, 833)(247, 921)(248, 827)(249, 919)(250, 829)(251, 922)(252, 943)(253, 944)(254, 834)(255, 945)(256, 836)(257, 942)(258, 938)(259, 924)(260, 843)(261, 841)(262, 934)(263, 941)(264, 946)(265, 845)(266, 846)(267, 951)(268, 848)(269, 881)(270, 850)(271, 953)(272, 852)(273, 954)(274, 854)(275, 884)(276, 930)(277, 955)(278, 857)(279, 889)(280, 860)(281, 887)(282, 891)(283, 862)(284, 899)(285, 870)(286, 952)(287, 866)(288, 868)(289, 871)(290, 916)(291, 873)(292, 957)(293, 876)(294, 902)(295, 878)(296, 958)(297, 880)(298, 898)(299, 885)(300, 947)(301, 903)(302, 897)(303, 892)(304, 893)(305, 895)(306, 904)(307, 940)(308, 959)(309, 956)(310, 960)(311, 907)(312, 926)(313, 911)(314, 913)(315, 917)(316, 949)(317, 932)(318, 936)(319, 948)(320, 950)(321, 961)(322, 962)(323, 963)(324, 964)(325, 965)(326, 966)(327, 967)(328, 968)(329, 969)(330, 970)(331, 971)(332, 972)(333, 973)(334, 974)(335, 975)(336, 976)(337, 977)(338, 978)(339, 979)(340, 980)(341, 981)(342, 982)(343, 983)(344, 984)(345, 985)(346, 986)(347, 987)(348, 988)(349, 989)(350, 990)(351, 991)(352, 992)(353, 993)(354, 994)(355, 995)(356, 996)(357, 997)(358, 998)(359, 999)(360, 1000)(361, 1001)(362, 1002)(363, 1003)(364, 1004)(365, 1005)(366, 1006)(367, 1007)(368, 1008)(369, 1009)(370, 1010)(371, 1011)(372, 1012)(373, 1013)(374, 1014)(375, 1015)(376, 1016)(377, 1017)(378, 1018)(379, 1019)(380, 1020)(381, 1021)(382, 1022)(383, 1023)(384, 1024)(385, 1025)(386, 1026)(387, 1027)(388, 1028)(389, 1029)(390, 1030)(391, 1031)(392, 1032)(393, 1033)(394, 1034)(395, 1035)(396, 1036)(397, 1037)(398, 1038)(399, 1039)(400, 1040)(401, 1041)(402, 1042)(403, 1043)(404, 1044)(405, 1045)(406, 1046)(407, 1047)(408, 1048)(409, 1049)(410, 1050)(411, 1051)(412, 1052)(413, 1053)(414, 1054)(415, 1055)(416, 1056)(417, 1057)(418, 1058)(419, 1059)(420, 1060)(421, 1061)(422, 1062)(423, 1063)(424, 1064)(425, 1065)(426, 1066)(427, 1067)(428, 1068)(429, 1069)(430, 1070)(431, 1071)(432, 1072)(433, 1073)(434, 1074)(435, 1075)(436, 1076)(437, 1077)(438, 1078)(439, 1079)(440, 1080)(441, 1081)(442, 1082)(443, 1083)(444, 1084)(445, 1085)(446, 1086)(447, 1087)(448, 1088)(449, 1089)(450, 1090)(451, 1091)(452, 1092)(453, 1093)(454, 1094)(455, 1095)(456, 1096)(457, 1097)(458, 1098)(459, 1099)(460, 1100)(461, 1101)(462, 1102)(463, 1103)(464, 1104)(465, 1105)(466, 1106)(467, 1107)(468, 1108)(469, 1109)(470, 1110)(471, 1111)(472, 1112)(473, 1113)(474, 1114)(475, 1115)(476, 1116)(477, 1117)(478, 1118)(479, 1119)(480, 1120)(481, 1121)(482, 1122)(483, 1123)(484, 1124)(485, 1125)(486, 1126)(487, 1127)(488, 1128)(489, 1129)(490, 1130)(491, 1131)(492, 1132)(493, 1133)(494, 1134)(495, 1135)(496, 1136)(497, 1137)(498, 1138)(499, 1139)(500, 1140)(501, 1141)(502, 1142)(503, 1143)(504, 1144)(505, 1145)(506, 1146)(507, 1147)(508, 1148)(509, 1149)(510, 1150)(511, 1151)(512, 1152)(513, 1153)(514, 1154)(515, 1155)(516, 1156)(517, 1157)(518, 1158)(519, 1159)(520, 1160)(521, 1161)(522, 1162)(523, 1163)(524, 1164)(525, 1165)(526, 1166)(527, 1167)(528, 1168)(529, 1169)(530, 1170)(531, 1171)(532, 1172)(533, 1173)(534, 1174)(535, 1175)(536, 1176)(537, 1177)(538, 1178)(539, 1179)(540, 1180)(541, 1181)(542, 1182)(543, 1183)(544, 1184)(545, 1185)(546, 1186)(547, 1187)(548, 1188)(549, 1189)(550, 1190)(551, 1191)(552, 1192)(553, 1193)(554, 1194)(555, 1195)(556, 1196)(557, 1197)(558, 1198)(559, 1199)(560, 1200)(561, 1201)(562, 1202)(563, 1203)(564, 1204)(565, 1205)(566, 1206)(567, 1207)(568, 1208)(569, 1209)(570, 1210)(571, 1211)(572, 1212)(573, 1213)(574, 1214)(575, 1215)(576, 1216)(577, 1217)(578, 1218)(579, 1219)(580, 1220)(581, 1221)(582, 1222)(583, 1223)(584, 1224)(585, 1225)(586, 1226)(587, 1227)(588, 1228)(589, 1229)(590, 1230)(591, 1231)(592, 1232)(593, 1233)(594, 1234)(595, 1235)(596, 1236)(597, 1237)(598, 1238)(599, 1239)(600, 1240)(601, 1241)(602, 1242)(603, 1243)(604, 1244)(605, 1245)(606, 1246)(607, 1247)(608, 1248)(609, 1249)(610, 1250)(611, 1251)(612, 1252)(613, 1253)(614, 1254)(615, 1255)(616, 1256)(617, 1257)(618, 1258)(619, 1259)(620, 1260)(621, 1261)(622, 1262)(623, 1263)(624, 1264)(625, 1265)(626, 1266)(627, 1267)(628, 1268)(629, 1269)(630, 1270)(631, 1271)(632, 1272)(633, 1273)(634, 1274)(635, 1275)(636, 1276)(637, 1277)(638, 1278)(639, 1279)(640, 1280)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.1046
Graph:: simple bipartite
	v = 384 e = 640 f = 240
	degree seq :: [ 2^320, 10^64 ]

E9.1050 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 321, 2, 322)(3, 323, 7, 327)(4, 324, 9, 329)(5, 325, 11, 331)(6, 326, 13, 333)(8, 328, 17, 337)(10, 330, 20, 340)(12, 332, 23, 343)(14, 334, 26, 346)(15, 335, 25, 345)(16, 336, 28, 348)(18, 338, 32, 352)(19, 339, 21, 341)(22, 342, 38, 358)(24, 344, 42, 362)(27, 347, 47, 367)(29, 349, 50, 370)(30, 350, 49, 369)(31, 351, 52, 372)(33, 353, 56, 376)(34, 354, 57, 377)(35, 355, 58, 378)(36, 356, 54, 374)(37, 357, 61, 381)(39, 359, 64, 384)(40, 360, 63, 383)(41, 361, 66, 386)(43, 363, 70, 390)(44, 364, 71, 391)(45, 365, 72, 392)(46, 366, 68, 388)(48, 368, 77, 397)(51, 371, 82, 402)(53, 373, 84, 404)(55, 375, 86, 406)(59, 379, 93, 413)(60, 380, 94, 414)(62, 382, 97, 417)(65, 385, 102, 422)(67, 387, 104, 424)(69, 389, 106, 426)(73, 393, 113, 433)(74, 394, 114, 434)(75, 395, 111, 431)(76, 396, 116, 436)(78, 398, 120, 440)(79, 399, 121, 441)(80, 400, 122, 442)(81, 401, 118, 438)(83, 403, 127, 447)(85, 405, 131, 451)(87, 407, 134, 454)(88, 408, 133, 453)(89, 409, 136, 456)(90, 410, 138, 458)(91, 411, 95, 415)(92, 412, 141, 461)(96, 416, 147, 467)(98, 418, 151, 471)(99, 419, 152, 472)(100, 420, 153, 473)(101, 421, 149, 469)(103, 423, 158, 478)(105, 425, 162, 482)(107, 427, 165, 485)(108, 428, 164, 484)(109, 429, 167, 487)(110, 430, 169, 489)(112, 432, 172, 492)(115, 435, 177, 497)(117, 437, 179, 499)(119, 439, 181, 501)(123, 443, 160, 480)(124, 444, 157, 477)(125, 445, 186, 506)(126, 446, 155, 475)(128, 448, 159, 479)(129, 449, 154, 474)(130, 450, 190, 510)(132, 452, 196, 516)(135, 455, 175, 495)(137, 457, 174, 494)(139, 459, 199, 519)(140, 460, 200, 520)(142, 462, 202, 522)(143, 463, 168, 488)(144, 464, 166, 486)(145, 465, 194, 514)(146, 466, 207, 527)(148, 468, 209, 529)(150, 470, 211, 531)(156, 476, 216, 536)(161, 481, 220, 540)(163, 483, 226, 546)(170, 490, 229, 549)(171, 491, 230, 550)(173, 493, 232, 552)(176, 496, 224, 544)(178, 498, 239, 559)(180, 500, 242, 562)(182, 502, 227, 547)(183, 503, 244, 564)(184, 504, 245, 565)(185, 505, 246, 566)(187, 507, 249, 569)(188, 508, 250, 570)(189, 509, 251, 571)(191, 511, 231, 551)(192, 512, 240, 560)(193, 513, 238, 558)(195, 515, 255, 575)(197, 517, 212, 532)(198, 518, 258, 578)(201, 521, 221, 541)(203, 523, 261, 581)(204, 524, 260, 580)(205, 525, 265, 585)(206, 526, 266, 586)(208, 528, 269, 589)(210, 530, 272, 592)(213, 533, 274, 594)(214, 534, 275, 595)(215, 535, 276, 596)(217, 537, 279, 599)(218, 538, 280, 600)(219, 539, 281, 601)(222, 542, 270, 590)(223, 543, 268, 588)(225, 545, 285, 605)(228, 548, 288, 608)(233, 553, 291, 611)(234, 554, 290, 610)(235, 555, 295, 615)(236, 556, 296, 616)(237, 557, 292, 612)(241, 561, 299, 619)(243, 563, 287, 607)(247, 567, 282, 602)(248, 568, 303, 623)(252, 572, 277, 597)(253, 573, 301, 621)(254, 574, 305, 625)(256, 576, 294, 614)(257, 577, 273, 593)(259, 579, 302, 622)(262, 582, 267, 587)(263, 583, 306, 626)(264, 584, 286, 606)(271, 591, 311, 631)(278, 598, 298, 618)(283, 603, 313, 633)(284, 604, 307, 627)(289, 609, 314, 634)(293, 613, 316, 636)(297, 617, 315, 635)(300, 620, 312, 632)(304, 624, 310, 630)(308, 628, 318, 638)(309, 629, 317, 637)(319, 639, 320, 640)(641, 961, 643, 963, 648, 968, 650, 970, 644, 964)(642, 962, 645, 965, 652, 972, 654, 974, 646, 966)(647, 967, 655, 975, 667, 987, 669, 989, 656, 976)(649, 969, 658, 978, 673, 993, 674, 994, 659, 979)(651, 971, 661, 981, 677, 997, 679, 999, 662, 982)(653, 973, 664, 984, 683, 1003, 684, 1004, 665, 985)(657, 977, 670, 990, 691, 1011, 693, 1013, 671, 991)(660, 980, 675, 995, 699, 1019, 700, 1020, 676, 996)(663, 983, 680, 1000, 705, 1025, 707, 1027, 681, 1001)(666, 986, 685, 1005, 713, 1033, 714, 1034, 686, 1006)(668, 988, 688, 1008, 718, 1038, 719, 1039, 689, 1009)(672, 992, 694, 1014, 725, 1045, 727, 1047, 695, 1015)(678, 998, 702, 1022, 738, 1058, 739, 1059, 703, 1023)(682, 1002, 708, 1028, 745, 1065, 747, 1067, 709, 1029)(687, 1007, 715, 1035, 755, 1075, 757, 1077, 716, 1036)(690, 1010, 720, 1040, 763, 1083, 764, 1084, 721, 1041)(692, 1012, 723, 1043, 768, 1088, 732, 1052, 698, 1018)(696, 1016, 728, 1048, 775, 1095, 777, 1097, 729, 1049)(697, 1017, 730, 1050, 779, 1099, 780, 1100, 731, 1051)(701, 1021, 735, 1055, 786, 1106, 788, 1108, 736, 1056)(704, 1024, 740, 1060, 794, 1114, 795, 1115, 741, 1061)(706, 1026, 743, 1063, 799, 1119, 752, 1072, 712, 1032)(710, 1030, 748, 1068, 806, 1126, 808, 1128, 749, 1069)(711, 1031, 750, 1070, 810, 1130, 811, 1131, 751, 1071)(717, 1037, 758, 1078, 820, 1140, 822, 1142, 759, 1079)(722, 1042, 765, 1085, 828, 1148, 829, 1149, 766, 1086)(724, 1044, 769, 1089, 832, 1152, 833, 1153, 770, 1090)(726, 1046, 772, 1092, 837, 1157, 838, 1158, 773, 1093)(733, 1053, 782, 1102, 843, 1163, 844, 1164, 783, 1103)(734, 1054, 784, 1104, 845, 1165, 846, 1166, 785, 1105)(737, 1057, 789, 1109, 850, 1170, 852, 1172, 790, 1110)(742, 1062, 796, 1116, 858, 1178, 859, 1179, 797, 1117)(744, 1064, 800, 1120, 862, 1182, 863, 1183, 801, 1121)(746, 1066, 803, 1123, 867, 1187, 868, 1188, 804, 1124)(753, 1073, 813, 1133, 873, 1193, 874, 1194, 814, 1134)(754, 1074, 815, 1135, 875, 1195, 876, 1196, 816, 1136)(756, 1076, 818, 1138, 774, 1094, 827, 1147, 762, 1082)(760, 1080, 823, 1143, 778, 1098, 776, 1096, 824, 1144)(761, 1081, 825, 1145, 887, 1207, 888, 1208, 826, 1146)(767, 1087, 830, 1150, 892, 1212, 893, 1213, 831, 1151)(771, 1091, 834, 1154, 894, 1214, 896, 1216, 835, 1155)(781, 1101, 841, 1161, 903, 1223, 904, 1224, 842, 1162)(787, 1107, 848, 1168, 805, 1125, 857, 1177, 793, 1113)(791, 1111, 853, 1173, 809, 1129, 807, 1127, 854, 1174)(792, 1112, 855, 1175, 917, 1237, 918, 1238, 856, 1176)(798, 1118, 860, 1180, 922, 1242, 923, 1243, 861, 1181)(802, 1122, 864, 1184, 924, 1244, 926, 1246, 865, 1185)(812, 1132, 871, 1191, 933, 1253, 934, 1254, 872, 1192)(817, 1137, 877, 1197, 937, 1257, 938, 1258, 878, 1198)(819, 1139, 880, 1200, 919, 1239, 925, 1245, 881, 1201)(821, 1141, 883, 1203, 941, 1261, 942, 1262, 884, 1204)(836, 1156, 879, 1199, 939, 1259, 946, 1266, 897, 1217)(839, 1159, 899, 1219, 916, 1236, 915, 1235, 900, 1220)(840, 1160, 901, 1221, 947, 1267, 948, 1268, 902, 1222)(847, 1167, 907, 1227, 950, 1270, 943, 1263, 908, 1228)(849, 1169, 910, 1230, 889, 1209, 895, 1215, 911, 1231)(851, 1171, 913, 1233, 953, 1273, 954, 1274, 914, 1234)(866, 1186, 909, 1229, 951, 1271, 956, 1276, 927, 1247)(869, 1189, 929, 1249, 886, 1206, 885, 1205, 930, 1250)(870, 1190, 931, 1251, 945, 1265, 957, 1277, 932, 1252)(882, 1202, 921, 1241, 935, 1255, 898, 1218, 940, 1260)(890, 1210, 944, 1264, 959, 1279, 949, 1269, 906, 1226)(891, 1211, 905, 1225, 928, 1248, 952, 1272, 912, 1232)(920, 1240, 955, 1275, 960, 1280, 958, 1278, 936, 1256)
	L = (1, 642)(2, 641)(3, 647)(4, 649)(5, 651)(6, 653)(7, 643)(8, 657)(9, 644)(10, 660)(11, 645)(12, 663)(13, 646)(14, 666)(15, 665)(16, 668)(17, 648)(18, 672)(19, 661)(20, 650)(21, 659)(22, 678)(23, 652)(24, 682)(25, 655)(26, 654)(27, 687)(28, 656)(29, 690)(30, 689)(31, 692)(32, 658)(33, 696)(34, 697)(35, 698)(36, 694)(37, 701)(38, 662)(39, 704)(40, 703)(41, 706)(42, 664)(43, 710)(44, 711)(45, 712)(46, 708)(47, 667)(48, 717)(49, 670)(50, 669)(51, 722)(52, 671)(53, 724)(54, 676)(55, 726)(56, 673)(57, 674)(58, 675)(59, 733)(60, 734)(61, 677)(62, 737)(63, 680)(64, 679)(65, 742)(66, 681)(67, 744)(68, 686)(69, 746)(70, 683)(71, 684)(72, 685)(73, 753)(74, 754)(75, 751)(76, 756)(77, 688)(78, 760)(79, 761)(80, 762)(81, 758)(82, 691)(83, 767)(84, 693)(85, 771)(86, 695)(87, 774)(88, 773)(89, 776)(90, 778)(91, 735)(92, 781)(93, 699)(94, 700)(95, 731)(96, 787)(97, 702)(98, 791)(99, 792)(100, 793)(101, 789)(102, 705)(103, 798)(104, 707)(105, 802)(106, 709)(107, 805)(108, 804)(109, 807)(110, 809)(111, 715)(112, 812)(113, 713)(114, 714)(115, 817)(116, 716)(117, 819)(118, 721)(119, 821)(120, 718)(121, 719)(122, 720)(123, 800)(124, 797)(125, 826)(126, 795)(127, 723)(128, 799)(129, 794)(130, 830)(131, 725)(132, 836)(133, 728)(134, 727)(135, 815)(136, 729)(137, 814)(138, 730)(139, 839)(140, 840)(141, 732)(142, 842)(143, 808)(144, 806)(145, 834)(146, 847)(147, 736)(148, 849)(149, 741)(150, 851)(151, 738)(152, 739)(153, 740)(154, 769)(155, 766)(156, 856)(157, 764)(158, 743)(159, 768)(160, 763)(161, 860)(162, 745)(163, 866)(164, 748)(165, 747)(166, 784)(167, 749)(168, 783)(169, 750)(170, 869)(171, 870)(172, 752)(173, 872)(174, 777)(175, 775)(176, 864)(177, 755)(178, 879)(179, 757)(180, 882)(181, 759)(182, 867)(183, 884)(184, 885)(185, 886)(186, 765)(187, 889)(188, 890)(189, 891)(190, 770)(191, 871)(192, 880)(193, 878)(194, 785)(195, 895)(196, 772)(197, 852)(198, 898)(199, 779)(200, 780)(201, 861)(202, 782)(203, 901)(204, 900)(205, 905)(206, 906)(207, 786)(208, 909)(209, 788)(210, 912)(211, 790)(212, 837)(213, 914)(214, 915)(215, 916)(216, 796)(217, 919)(218, 920)(219, 921)(220, 801)(221, 841)(222, 910)(223, 908)(224, 816)(225, 925)(226, 803)(227, 822)(228, 928)(229, 810)(230, 811)(231, 831)(232, 813)(233, 931)(234, 930)(235, 935)(236, 936)(237, 932)(238, 833)(239, 818)(240, 832)(241, 939)(242, 820)(243, 927)(244, 823)(245, 824)(246, 825)(247, 922)(248, 943)(249, 827)(250, 828)(251, 829)(252, 917)(253, 941)(254, 945)(255, 835)(256, 934)(257, 913)(258, 838)(259, 942)(260, 844)(261, 843)(262, 907)(263, 946)(264, 926)(265, 845)(266, 846)(267, 902)(268, 863)(269, 848)(270, 862)(271, 951)(272, 850)(273, 897)(274, 853)(275, 854)(276, 855)(277, 892)(278, 938)(279, 857)(280, 858)(281, 859)(282, 887)(283, 953)(284, 947)(285, 865)(286, 904)(287, 883)(288, 868)(289, 954)(290, 874)(291, 873)(292, 877)(293, 956)(294, 896)(295, 875)(296, 876)(297, 955)(298, 918)(299, 881)(300, 952)(301, 893)(302, 899)(303, 888)(304, 950)(305, 894)(306, 903)(307, 924)(308, 958)(309, 957)(310, 944)(311, 911)(312, 940)(313, 923)(314, 929)(315, 937)(316, 933)(317, 949)(318, 948)(319, 960)(320, 959)(321, 961)(322, 962)(323, 963)(324, 964)(325, 965)(326, 966)(327, 967)(328, 968)(329, 969)(330, 970)(331, 971)(332, 972)(333, 973)(334, 974)(335, 975)(336, 976)(337, 977)(338, 978)(339, 979)(340, 980)(341, 981)(342, 982)(343, 983)(344, 984)(345, 985)(346, 986)(347, 987)(348, 988)(349, 989)(350, 990)(351, 991)(352, 992)(353, 993)(354, 994)(355, 995)(356, 996)(357, 997)(358, 998)(359, 999)(360, 1000)(361, 1001)(362, 1002)(363, 1003)(364, 1004)(365, 1005)(366, 1006)(367, 1007)(368, 1008)(369, 1009)(370, 1010)(371, 1011)(372, 1012)(373, 1013)(374, 1014)(375, 1015)(376, 1016)(377, 1017)(378, 1018)(379, 1019)(380, 1020)(381, 1021)(382, 1022)(383, 1023)(384, 1024)(385, 1025)(386, 1026)(387, 1027)(388, 1028)(389, 1029)(390, 1030)(391, 1031)(392, 1032)(393, 1033)(394, 1034)(395, 1035)(396, 1036)(397, 1037)(398, 1038)(399, 1039)(400, 1040)(401, 1041)(402, 1042)(403, 1043)(404, 1044)(405, 1045)(406, 1046)(407, 1047)(408, 1048)(409, 1049)(410, 1050)(411, 1051)(412, 1052)(413, 1053)(414, 1054)(415, 1055)(416, 1056)(417, 1057)(418, 1058)(419, 1059)(420, 1060)(421, 1061)(422, 1062)(423, 1063)(424, 1064)(425, 1065)(426, 1066)(427, 1067)(428, 1068)(429, 1069)(430, 1070)(431, 1071)(432, 1072)(433, 1073)(434, 1074)(435, 1075)(436, 1076)(437, 1077)(438, 1078)(439, 1079)(440, 1080)(441, 1081)(442, 1082)(443, 1083)(444, 1084)(445, 1085)(446, 1086)(447, 1087)(448, 1088)(449, 1089)(450, 1090)(451, 1091)(452, 1092)(453, 1093)(454, 1094)(455, 1095)(456, 1096)(457, 1097)(458, 1098)(459, 1099)(460, 1100)(461, 1101)(462, 1102)(463, 1103)(464, 1104)(465, 1105)(466, 1106)(467, 1107)(468, 1108)(469, 1109)(470, 1110)(471, 1111)(472, 1112)(473, 1113)(474, 1114)(475, 1115)(476, 1116)(477, 1117)(478, 1118)(479, 1119)(480, 1120)(481, 1121)(482, 1122)(483, 1123)(484, 1124)(485, 1125)(486, 1126)(487, 1127)(488, 1128)(489, 1129)(490, 1130)(491, 1131)(492, 1132)(493, 1133)(494, 1134)(495, 1135)(496, 1136)(497, 1137)(498, 1138)(499, 1139)(500, 1140)(501, 1141)(502, 1142)(503, 1143)(504, 1144)(505, 1145)(506, 1146)(507, 1147)(508, 1148)(509, 1149)(510, 1150)(511, 1151)(512, 1152)(513, 1153)(514, 1154)(515, 1155)(516, 1156)(517, 1157)(518, 1158)(519, 1159)(520, 1160)(521, 1161)(522, 1162)(523, 1163)(524, 1164)(525, 1165)(526, 1166)(527, 1167)(528, 1168)(529, 1169)(530, 1170)(531, 1171)(532, 1172)(533, 1173)(534, 1174)(535, 1175)(536, 1176)(537, 1177)(538, 1178)(539, 1179)(540, 1180)(541, 1181)(542, 1182)(543, 1183)(544, 1184)(545, 1185)(546, 1186)(547, 1187)(548, 1188)(549, 1189)(550, 1190)(551, 1191)(552, 1192)(553, 1193)(554, 1194)(555, 1195)(556, 1196)(557, 1197)(558, 1198)(559, 1199)(560, 1200)(561, 1201)(562, 1202)(563, 1203)(564, 1204)(565, 1205)(566, 1206)(567, 1207)(568, 1208)(569, 1209)(570, 1210)(571, 1211)(572, 1212)(573, 1213)(574, 1214)(575, 1215)(576, 1216)(577, 1217)(578, 1218)(579, 1219)(580, 1220)(581, 1221)(582, 1222)(583, 1223)(584, 1224)(585, 1225)(586, 1226)(587, 1227)(588, 1228)(589, 1229)(590, 1230)(591, 1231)(592, 1232)(593, 1233)(594, 1234)(595, 1235)(596, 1236)(597, 1237)(598, 1238)(599, 1239)(600, 1240)(601, 1241)(602, 1242)(603, 1243)(604, 1244)(605, 1245)(606, 1246)(607, 1247)(608, 1248)(609, 1249)(610, 1250)(611, 1251)(612, 1252)(613, 1253)(614, 1254)(615, 1255)(616, 1256)(617, 1257)(618, 1258)(619, 1259)(620, 1260)(621, 1261)(622, 1262)(623, 1263)(624, 1264)(625, 1265)(626, 1266)(627, 1267)(628, 1268)(629, 1269)(630, 1270)(631, 1271)(632, 1272)(633, 1273)(634, 1274)(635, 1275)(636, 1276)(637, 1277)(638, 1278)(639, 1279)(640, 1280)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E9.1051
Graph:: bipartite
	v = 224 e = 640 f = 400
	degree seq :: [ 4^160, 10^64 ]

E9.1051 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
Aut   = $<640, 21465>$ (small group id <640, 21465>)
|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 * Y2^-1)^5, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1^-2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: polytopal
	R = (1, 321, 2, 322, 6, 326, 4, 324)(3, 323, 9, 329, 21, 341, 11, 331)(5, 325, 13, 333, 18, 338, 7, 327)(8, 328, 19, 339, 32, 352, 15, 335)(10, 330, 23, 343, 44, 364, 24, 344)(12, 332, 16, 336, 33, 353, 27, 347)(14, 334, 30, 350, 53, 373, 28, 348)(17, 337, 35, 355, 63, 383, 36, 356)(20, 340, 40, 360, 69, 389, 38, 358)(22, 342, 43, 363, 74, 394, 41, 361)(25, 345, 42, 362, 75, 395, 48, 368)(26, 346, 49, 369, 86, 406, 50, 370)(29, 349, 54, 374, 67, 387, 37, 357)(31, 351, 57, 377, 98, 418, 58, 378)(34, 354, 62, 382, 104, 424, 60, 380)(39, 359, 70, 390, 102, 422, 59, 379)(45, 365, 80, 400, 132, 452, 78, 398)(46, 366, 79, 399, 133, 453, 82, 402)(47, 367, 83, 403, 139, 459, 84, 404)(51, 371, 61, 381, 105, 425, 90, 410)(52, 372, 91, 411, 151, 471, 92, 412)(55, 375, 96, 416, 157, 477, 94, 414)(56, 376, 97, 417, 155, 475, 93, 413)(64, 384, 110, 430, 178, 498, 108, 428)(65, 385, 109, 429, 179, 499, 112, 432)(66, 386, 113, 433, 185, 505, 114, 434)(68, 388, 116, 436, 190, 510, 117, 437)(71, 391, 121, 441, 196, 516, 119, 439)(72, 392, 122, 442, 194, 514, 118, 438)(73, 393, 123, 443, 201, 521, 124, 444)(76, 396, 128, 448, 207, 527, 126, 446)(77, 397, 129, 449, 205, 525, 125, 445)(81, 401, 136, 456, 165, 485, 137, 457)(85, 405, 127, 447, 208, 528, 143, 463)(87, 407, 146, 466, 226, 546, 144, 464)(88, 408, 145, 465, 227, 547, 147, 467)(89, 409, 148, 468, 217, 537, 149, 469)(95, 415, 158, 478, 189, 509, 115, 435)(99, 419, 164, 484, 244, 564, 162, 482)(100, 420, 163, 483, 245, 565, 166, 486)(101, 421, 167, 487, 248, 568, 168, 488)(103, 423, 170, 490, 253, 573, 171, 491)(106, 426, 175, 495, 259, 579, 173, 493)(107, 427, 176, 496, 257, 577, 172, 492)(111, 431, 182, 502, 130, 450, 183, 503)(120, 440, 197, 517, 252, 572, 169, 489)(131, 451, 212, 532, 272, 592, 191, 511)(134, 454, 193, 513, 274, 594, 214, 534)(135, 455, 216, 536, 287, 607, 213, 533)(138, 458, 215, 535, 251, 571, 219, 539)(140, 460, 220, 540, 264, 584, 181, 501)(141, 461, 187, 507, 250, 570, 221, 541)(142, 462, 222, 542, 242, 562, 223, 543)(150, 470, 174, 494, 260, 580, 232, 552)(152, 472, 225, 545, 291, 611, 233, 553)(153, 473, 234, 554, 276, 596, 195, 515)(154, 474, 235, 555, 293, 613, 228, 548)(156, 476, 203, 523, 282, 602, 237, 557)(159, 479, 240, 560, 218, 538, 238, 558)(160, 480, 199, 519, 262, 582, 210, 530)(161, 481, 241, 561, 261, 581, 236, 556)(177, 497, 263, 583, 302, 622, 254, 574)(180, 500, 256, 576, 304, 624, 265, 585)(184, 504, 266, 586, 231, 551, 267, 587)(186, 506, 268, 588, 300, 620, 247, 567)(188, 508, 269, 589, 230, 550, 270, 590)(192, 512, 273, 593, 297, 617, 258, 578)(198, 518, 279, 599, 211, 531, 277, 597)(200, 520, 280, 600, 209, 529, 275, 595)(202, 522, 243, 563, 299, 619, 281, 601)(204, 524, 283, 603, 301, 621, 246, 566)(206, 526, 255, 575, 303, 623, 284, 604)(224, 544, 271, 591, 239, 559, 278, 598)(229, 549, 249, 569, 289, 609, 292, 612)(285, 605, 313, 633, 317, 637, 309, 629)(286, 606, 307, 627, 298, 618, 314, 634)(288, 608, 311, 631, 320, 640, 315, 635)(290, 610, 312, 632, 295, 615, 306, 626)(294, 614, 316, 636, 319, 639, 305, 625)(296, 616, 310, 630, 318, 638, 308, 628)(641, 961)(642, 962)(643, 963)(644, 964)(645, 965)(646, 966)(647, 967)(648, 968)(649, 969)(650, 970)(651, 971)(652, 972)(653, 973)(654, 974)(655, 975)(656, 976)(657, 977)(658, 978)(659, 979)(660, 980)(661, 981)(662, 982)(663, 983)(664, 984)(665, 985)(666, 986)(667, 987)(668, 988)(669, 989)(670, 990)(671, 991)(672, 992)(673, 993)(674, 994)(675, 995)(676, 996)(677, 997)(678, 998)(679, 999)(680, 1000)(681, 1001)(682, 1002)(683, 1003)(684, 1004)(685, 1005)(686, 1006)(687, 1007)(688, 1008)(689, 1009)(690, 1010)(691, 1011)(692, 1012)(693, 1013)(694, 1014)(695, 1015)(696, 1016)(697, 1017)(698, 1018)(699, 1019)(700, 1020)(701, 1021)(702, 1022)(703, 1023)(704, 1024)(705, 1025)(706, 1026)(707, 1027)(708, 1028)(709, 1029)(710, 1030)(711, 1031)(712, 1032)(713, 1033)(714, 1034)(715, 1035)(716, 1036)(717, 1037)(718, 1038)(719, 1039)(720, 1040)(721, 1041)(722, 1042)(723, 1043)(724, 1044)(725, 1045)(726, 1046)(727, 1047)(728, 1048)(729, 1049)(730, 1050)(731, 1051)(732, 1052)(733, 1053)(734, 1054)(735, 1055)(736, 1056)(737, 1057)(738, 1058)(739, 1059)(740, 1060)(741, 1061)(742, 1062)(743, 1063)(744, 1064)(745, 1065)(746, 1066)(747, 1067)(748, 1068)(749, 1069)(750, 1070)(751, 1071)(752, 1072)(753, 1073)(754, 1074)(755, 1075)(756, 1076)(757, 1077)(758, 1078)(759, 1079)(760, 1080)(761, 1081)(762, 1082)(763, 1083)(764, 1084)(765, 1085)(766, 1086)(767, 1087)(768, 1088)(769, 1089)(770, 1090)(771, 1091)(772, 1092)(773, 1093)(774, 1094)(775, 1095)(776, 1096)(777, 1097)(778, 1098)(779, 1099)(780, 1100)(781, 1101)(782, 1102)(783, 1103)(784, 1104)(785, 1105)(786, 1106)(787, 1107)(788, 1108)(789, 1109)(790, 1110)(791, 1111)(792, 1112)(793, 1113)(794, 1114)(795, 1115)(796, 1116)(797, 1117)(798, 1118)(799, 1119)(800, 1120)(801, 1121)(802, 1122)(803, 1123)(804, 1124)(805, 1125)(806, 1126)(807, 1127)(808, 1128)(809, 1129)(810, 1130)(811, 1131)(812, 1132)(813, 1133)(814, 1134)(815, 1135)(816, 1136)(817, 1137)(818, 1138)(819, 1139)(820, 1140)(821, 1141)(822, 1142)(823, 1143)(824, 1144)(825, 1145)(826, 1146)(827, 1147)(828, 1148)(829, 1149)(830, 1150)(831, 1151)(832, 1152)(833, 1153)(834, 1154)(835, 1155)(836, 1156)(837, 1157)(838, 1158)(839, 1159)(840, 1160)(841, 1161)(842, 1162)(843, 1163)(844, 1164)(845, 1165)(846, 1166)(847, 1167)(848, 1168)(849, 1169)(850, 1170)(851, 1171)(852, 1172)(853, 1173)(854, 1174)(855, 1175)(856, 1176)(857, 1177)(858, 1178)(859, 1179)(860, 1180)(861, 1181)(862, 1182)(863, 1183)(864, 1184)(865, 1185)(866, 1186)(867, 1187)(868, 1188)(869, 1189)(870, 1190)(871, 1191)(872, 1192)(873, 1193)(874, 1194)(875, 1195)(876, 1196)(877, 1197)(878, 1198)(879, 1199)(880, 1200)(881, 1201)(882, 1202)(883, 1203)(884, 1204)(885, 1205)(886, 1206)(887, 1207)(888, 1208)(889, 1209)(890, 1210)(891, 1211)(892, 1212)(893, 1213)(894, 1214)(895, 1215)(896, 1216)(897, 1217)(898, 1218)(899, 1219)(900, 1220)(901, 1221)(902, 1222)(903, 1223)(904, 1224)(905, 1225)(906, 1226)(907, 1227)(908, 1228)(909, 1229)(910, 1230)(911, 1231)(912, 1232)(913, 1233)(914, 1234)(915, 1235)(916, 1236)(917, 1237)(918, 1238)(919, 1239)(920, 1240)(921, 1241)(922, 1242)(923, 1243)(924, 1244)(925, 1245)(926, 1246)(927, 1247)(928, 1248)(929, 1249)(930, 1250)(931, 1251)(932, 1252)(933, 1253)(934, 1254)(935, 1255)(936, 1256)(937, 1257)(938, 1258)(939, 1259)(940, 1260)(941, 1261)(942, 1262)(943, 1263)(944, 1264)(945, 1265)(946, 1266)(947, 1267)(948, 1268)(949, 1269)(950, 1270)(951, 1271)(952, 1272)(953, 1273)(954, 1274)(955, 1275)(956, 1276)(957, 1277)(958, 1278)(959, 1279)(960, 1280)
	L = (1, 643)(2, 647)(3, 650)(4, 652)(5, 641)(6, 655)(7, 657)(8, 642)(9, 644)(10, 654)(11, 665)(12, 666)(13, 668)(14, 645)(15, 671)(16, 646)(17, 660)(18, 677)(19, 678)(20, 648)(21, 681)(22, 649)(23, 651)(24, 686)(25, 687)(26, 662)(27, 691)(28, 692)(29, 653)(30, 664)(31, 674)(32, 699)(33, 700)(34, 656)(35, 658)(36, 705)(37, 706)(38, 708)(39, 659)(40, 676)(41, 713)(42, 661)(43, 690)(44, 718)(45, 663)(46, 721)(47, 685)(48, 725)(49, 667)(50, 728)(51, 729)(52, 695)(53, 733)(54, 734)(55, 669)(56, 670)(57, 672)(58, 740)(59, 741)(60, 743)(61, 673)(62, 698)(63, 748)(64, 675)(65, 751)(66, 704)(67, 755)(68, 711)(69, 758)(70, 759)(71, 679)(72, 680)(73, 716)(74, 765)(75, 766)(76, 682)(77, 683)(78, 771)(79, 684)(80, 724)(81, 696)(82, 778)(83, 688)(84, 781)(85, 782)(86, 784)(87, 689)(88, 770)(89, 727)(90, 790)(91, 693)(92, 793)(93, 794)(94, 796)(95, 694)(96, 732)(97, 777)(98, 802)(99, 697)(100, 805)(101, 739)(102, 809)(103, 746)(104, 812)(105, 813)(106, 701)(107, 702)(108, 817)(109, 703)(110, 754)(111, 712)(112, 824)(113, 707)(114, 827)(115, 828)(116, 709)(117, 832)(118, 833)(119, 835)(120, 710)(121, 757)(122, 823)(123, 714)(124, 843)(125, 844)(126, 846)(127, 715)(128, 764)(129, 822)(130, 717)(131, 774)(132, 853)(133, 854)(134, 719)(135, 720)(136, 722)(137, 806)(138, 858)(139, 821)(140, 723)(141, 857)(142, 780)(143, 864)(144, 865)(145, 726)(146, 789)(147, 870)(148, 730)(149, 861)(150, 871)(151, 873)(152, 731)(153, 836)(154, 792)(155, 876)(156, 799)(157, 850)(158, 878)(159, 735)(160, 736)(161, 737)(162, 883)(163, 738)(164, 808)(165, 747)(166, 882)(167, 742)(168, 890)(169, 891)(170, 744)(171, 895)(172, 896)(173, 898)(174, 745)(175, 811)(176, 776)(177, 820)(178, 904)(179, 905)(180, 749)(181, 750)(182, 752)(183, 787)(184, 851)(185, 887)(186, 753)(187, 779)(188, 826)(189, 911)(190, 912)(191, 756)(192, 899)(193, 831)(194, 915)(195, 838)(196, 800)(197, 917)(198, 760)(199, 761)(200, 762)(201, 921)(202, 763)(203, 797)(204, 842)(205, 919)(206, 849)(207, 902)(208, 920)(209, 767)(210, 768)(211, 769)(212, 772)(213, 926)(214, 928)(215, 773)(216, 788)(217, 775)(218, 816)(219, 892)(220, 863)(221, 888)(222, 783)(223, 885)(224, 900)(225, 868)(226, 932)(227, 933)(228, 785)(229, 786)(230, 840)(231, 856)(232, 918)(233, 934)(234, 791)(235, 795)(236, 937)(237, 938)(238, 859)(239, 798)(240, 877)(241, 862)(242, 801)(243, 886)(244, 940)(245, 941)(246, 803)(247, 804)(248, 869)(249, 807)(250, 825)(251, 889)(252, 879)(253, 942)(254, 810)(255, 847)(256, 894)(257, 880)(258, 901)(259, 839)(260, 881)(261, 814)(262, 815)(263, 818)(264, 946)(265, 947)(266, 819)(267, 872)(268, 910)(269, 829)(270, 867)(271, 848)(272, 949)(273, 830)(274, 834)(275, 924)(276, 952)(277, 907)(278, 837)(279, 916)(280, 909)(281, 953)(282, 841)(283, 845)(284, 951)(285, 852)(286, 925)(287, 906)(288, 929)(289, 855)(290, 860)(291, 866)(292, 955)(293, 948)(294, 935)(295, 874)(296, 875)(297, 936)(298, 944)(299, 884)(300, 958)(301, 930)(302, 959)(303, 893)(304, 897)(305, 903)(306, 945)(307, 927)(308, 908)(309, 950)(310, 913)(311, 914)(312, 923)(313, 954)(314, 922)(315, 956)(316, 931)(317, 939)(318, 957)(319, 960)(320, 943)(321, 961)(322, 962)(323, 963)(324, 964)(325, 965)(326, 966)(327, 967)(328, 968)(329, 969)(330, 970)(331, 971)(332, 972)(333, 973)(334, 974)(335, 975)(336, 976)(337, 977)(338, 978)(339, 979)(340, 980)(341, 981)(342, 982)(343, 983)(344, 984)(345, 985)(346, 986)(347, 987)(348, 988)(349, 989)(350, 990)(351, 991)(352, 992)(353, 993)(354, 994)(355, 995)(356, 996)(357, 997)(358, 998)(359, 999)(360, 1000)(361, 1001)(362, 1002)(363, 1003)(364, 1004)(365, 1005)(366, 1006)(367, 1007)(368, 1008)(369, 1009)(370, 1010)(371, 1011)(372, 1012)(373, 1013)(374, 1014)(375, 1015)(376, 1016)(377, 1017)(378, 1018)(379, 1019)(380, 1020)(381, 1021)(382, 1022)(383, 1023)(384, 1024)(385, 1025)(386, 1026)(387, 1027)(388, 1028)(389, 1029)(390, 1030)(391, 1031)(392, 1032)(393, 1033)(394, 1034)(395, 1035)(396, 1036)(397, 1037)(398, 1038)(399, 1039)(400, 1040)(401, 1041)(402, 1042)(403, 1043)(404, 1044)(405, 1045)(406, 1046)(407, 1047)(408, 1048)(409, 1049)(410, 1050)(411, 1051)(412, 1052)(413, 1053)(414, 1054)(415, 1055)(416, 1056)(417, 1057)(418, 1058)(419, 1059)(420, 1060)(421, 1061)(422, 1062)(423, 1063)(424, 1064)(425, 1065)(426, 1066)(427, 1067)(428, 1068)(429, 1069)(430, 1070)(431, 1071)(432, 1072)(433, 1073)(434, 1074)(435, 1075)(436, 1076)(437, 1077)(438, 1078)(439, 1079)(440, 1080)(441, 1081)(442, 1082)(443, 1083)(444, 1084)(445, 1085)(446, 1086)(447, 1087)(448, 1088)(449, 1089)(450, 1090)(451, 1091)(452, 1092)(453, 1093)(454, 1094)(455, 1095)(456, 1096)(457, 1097)(458, 1098)(459, 1099)(460, 1100)(461, 1101)(462, 1102)(463, 1103)(464, 1104)(465, 1105)(466, 1106)(467, 1107)(468, 1108)(469, 1109)(470, 1110)(471, 1111)(472, 1112)(473, 1113)(474, 1114)(475, 1115)(476, 1116)(477, 1117)(478, 1118)(479, 1119)(480, 1120)(481, 1121)(482, 1122)(483, 1123)(484, 1124)(485, 1125)(486, 1126)(487, 1127)(488, 1128)(489, 1129)(490, 1130)(491, 1131)(492, 1132)(493, 1133)(494, 1134)(495, 1135)(496, 1136)(497, 1137)(498, 1138)(499, 1139)(500, 1140)(501, 1141)(502, 1142)(503, 1143)(504, 1144)(505, 1145)(506, 1146)(507, 1147)(508, 1148)(509, 1149)(510, 1150)(511, 1151)(512, 1152)(513, 1153)(514, 1154)(515, 1155)(516, 1156)(517, 1157)(518, 1158)(519, 1159)(520, 1160)(521, 1161)(522, 1162)(523, 1163)(524, 1164)(525, 1165)(526, 1166)(527, 1167)(528, 1168)(529, 1169)(530, 1170)(531, 1171)(532, 1172)(533, 1173)(534, 1174)(535, 1175)(536, 1176)(537, 1177)(538, 1178)(539, 1179)(540, 1180)(541, 1181)(542, 1182)(543, 1183)(544, 1184)(545, 1185)(546, 1186)(547, 1187)(548, 1188)(549, 1189)(550, 1190)(551, 1191)(552, 1192)(553, 1193)(554, 1194)(555, 1195)(556, 1196)(557, 1197)(558, 1198)(559, 1199)(560, 1200)(561, 1201)(562, 1202)(563, 1203)(564, 1204)(565, 1205)(566, 1206)(567, 1207)(568, 1208)(569, 1209)(570, 1210)(571, 1211)(572, 1212)(573, 1213)(574, 1214)(575, 1215)(576, 1216)(577, 1217)(578, 1218)(579, 1219)(580, 1220)(581, 1221)(582, 1222)(583, 1223)(584, 1224)(585, 1225)(586, 1226)(587, 1227)(588, 1228)(589, 1229)(590, 1230)(591, 1231)(592, 1232)(593, 1233)(594, 1234)(595, 1235)(596, 1236)(597, 1237)(598, 1238)(599, 1239)(600, 1240)(601, 1241)(602, 1242)(603, 1243)(604, 1244)(605, 1245)(606, 1246)(607, 1247)(608, 1248)(609, 1249)(610, 1250)(611, 1251)(612, 1252)(613, 1253)(614, 1254)(615, 1255)(616, 1256)(617, 1257)(618, 1258)(619, 1259)(620, 1260)(621, 1261)(622, 1262)(623, 1263)(624, 1264)(625, 1265)(626, 1266)(627, 1267)(628, 1268)(629, 1269)(630, 1270)(631, 1271)(632, 1272)(633, 1273)(634, 1274)(635, 1275)(636, 1276)(637, 1277)(638, 1278)(639, 1279)(640, 1280)
	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E9.1050
Graph:: simple bipartite
	v = 400 e = 640 f = 224
	degree seq :: [ 2^320, 8^80 ]

## Checksum: 1051 records.
## Written on: Thu Oct 17 04:14:43 CEST 2019