## Begin on: Tue Oct 15 15:26:36 CEST 2019

ENUMERATION
No. of records: 743

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 24 (20 non-degenerate)
2     [ E3b] : 68 (44 non-degenerate)
2*    [E3*b] : 68 (44 non-degenerate)
2ex   [E3*c] : 0
2*ex  [ E3c] : 0
2P    [  E2] : 19 (12 non-degenerate)
2Pex  [ E1a] : 9 (9 non-degenerate)
3     [ E5a] : 388 (235 non-degenerate)
4     [  E4] : 58 (39 non-degenerate)
4*    [ E4*] : 58 (39 non-degenerate)
4P    [  E6] : 15 (6 non-degenerate)
5     [ E3a] : 17 (8 non-degenerate)
5*    [E3*a] : 17 (8 non-degenerate)
5P    [ E5b] : 2 (1 non-degenerate)

E11.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11, 11})
Quotient :: toric
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, S^2, S^-1 * A * S * B, S^-1 * B * S * A, S^-1 * Z * S * Z, Z^11, (Z^-1 * A * B^-1 * A^-1 * B)^11 ]
Map::
	R = (1, 13, 24, 35, 2, 15, 26, 37, 4, 17, 28, 39, 6, 19, 30, 41, 8, 21, 32, 43, 10, 22, 33, 44, 11, 20, 31, 42, 9, 18, 29, 40, 7, 16, 27, 38, 5, 14, 25, 36, 3, 12, 23, 34)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 22 f = 1
	degree seq :: [ 44 ]

E11.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11, 11})
Quotient :: toric
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A^-1 * Z^-1, B^-1 * Z^-1, (S * Z)^2, S * A * S * B, B^11, Z^11, Z^5 * A^-6 ]
Map::
	R = (1, 13, 24, 35, 2, 15, 26, 37, 4, 17, 28, 39, 6, 19, 30, 41, 8, 21, 32, 43, 10, 22, 33, 44, 11, 20, 31, 42, 9, 18, 29, 40, 7, 16, 27, 38, 5, 14, 25, 36, 3, 12, 23, 34)
	L = (1, 25)(2, 23)(3, 27)(4, 24)(5, 29)(6, 26)(7, 31)(8, 28)(9, 33)(10, 30)(11, 32)(12, 35)(13, 37)(14, 34)(15, 39)(16, 36)(17, 41)(18, 38)(19, 43)(20, 40)(21, 44)(22, 42)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 22 f = 1
	degree seq :: [ 44 ]

E11.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11, 11})
Quotient :: toric
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^2 * A, S * A * S * B, (S * Z)^2, Z * A^-5, (B * Z)^11 ]
Map::
	R = (1, 13, 24, 35, 2, 16, 27, 38, 5, 17, 28, 39, 6, 20, 31, 42, 9, 21, 32, 43, 10, 22, 33, 44, 11, 18, 29, 40, 7, 19, 30, 41, 8, 14, 25, 36, 3, 15, 26, 37, 4, 12, 23, 34)
	L = (1, 25)(2, 26)(3, 29)(4, 30)(5, 23)(6, 24)(7, 32)(8, 33)(9, 27)(10, 28)(11, 31)(12, 38)(13, 39)(14, 34)(15, 35)(16, 42)(17, 43)(18, 36)(19, 37)(20, 44)(21, 40)(22, 41)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 22 f = 1
	degree seq :: [ 44 ]

E11.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11, 11})
Quotient :: toric
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (Z, B), (S * Z)^2, (Z, A^-1), S * A * S * B, Z^-1 * B^-1 * Z^-2, Z^-1 * B^-4, A * Z * B * A^2, A^-1 * Z * B^-1 * A^-1 * Z ]
Map::
	R = (1, 13, 24, 35, 2, 17, 28, 39, 6, 16, 27, 38, 5, 19, 30, 41, 8, 20, 31, 42, 9, 22, 33, 44, 11, 21, 32, 43, 10, 14, 25, 36, 3, 18, 29, 40, 7, 15, 26, 37, 4, 12, 23, 34)
	L = (1, 25)(2, 29)(3, 31)(4, 32)(5, 23)(6, 26)(7, 33)(8, 24)(9, 28)(10, 30)(11, 27)(12, 38)(13, 41)(14, 34)(15, 39)(16, 44)(17, 42)(18, 35)(19, 43)(20, 36)(21, 37)(22, 40)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 22 f = 1
	degree seq :: [ 44 ]

E11.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11, 11})
Quotient :: toric
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^-1 * A^-3, (S * Z)^2, (Z, A^-1), S * B * S * A, Z * A^-1 * Z * A^-1 * Z ]
Map::
	R = (1, 13, 24, 35, 2, 17, 28, 39, 6, 20, 31, 42, 9, 16, 27, 38, 5, 19, 30, 41, 8, 21, 32, 43, 10, 14, 25, 36, 3, 18, 29, 40, 7, 22, 33, 44, 11, 15, 26, 37, 4, 12, 23, 34)
	L = (1, 25)(2, 29)(3, 31)(4, 32)(5, 23)(6, 33)(7, 27)(8, 24)(9, 26)(10, 28)(11, 30)(12, 38)(13, 41)(14, 34)(15, 42)(16, 40)(17, 43)(18, 35)(19, 44)(20, 36)(21, 37)(22, 39)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 22 f = 1
	degree seq :: [ 44 ]

E11.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
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, S * B * S * A, (A^-1, Z^-1), (S * Z)^2, (B^-1, Z^-1), B^2 * A^-2, Z * A * Z^2 * B^-1, Z * B * Z^2 * A^-1, Z^6 ]
Map:: non-degenerate
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 21, 33, 45, 9, 24, 36, 48, 12, 17, 29, 41, 5, 13, 25, 37)(3, 19, 31, 43, 7, 23, 35, 47, 11, 16, 28, 40, 4, 20, 32, 44, 8, 22, 34, 46, 10, 15, 27, 39)
	L = (1, 27)(2, 31)(3, 33)(4, 25)(5, 34)(6, 35)(7, 36)(8, 26)(9, 28)(10, 30)(11, 29)(12, 32)(13, 39)(14, 43)(15, 45)(16, 37)(17, 46)(18, 47)(19, 48)(20, 38)(21, 40)(22, 42)(23, 41)(24, 44)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
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, (B * A)^2, S * B * S * A, B * Z * B * Z^-1, (S * Z)^2, A * Z * A * Z^-1, A * Z^3 * B ]
Map:: non-degenerate
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 21, 33, 45, 9, 24, 36, 48, 12, 17, 29, 41, 5, 13, 25, 37)(3, 19, 31, 43, 7, 23, 35, 47, 11, 16, 28, 40, 4, 20, 32, 44, 8, 22, 34, 46, 10, 15, 27, 39)
	L = (1, 27)(2, 31)(3, 25)(4, 33)(5, 34)(6, 35)(7, 26)(8, 36)(9, 28)(10, 29)(11, 30)(12, 32)(13, 40)(14, 44)(15, 45)(16, 37)(17, 47)(18, 46)(19, 48)(20, 38)(21, 39)(22, 42)(23, 41)(24, 43)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
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, A^-1), S * A * S * B, (S * Z)^2, A^4, Z^3 * A^2 ]
Map::
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 21, 33, 45, 9, 23, 35, 47, 11, 16, 28, 40, 4, 13, 25, 37)(3, 19, 31, 43, 7, 24, 36, 48, 12, 17, 29, 41, 5, 20, 32, 44, 8, 22, 34, 46, 10, 15, 27, 39)
	L = (1, 27)(2, 31)(3, 33)(4, 34)(5, 25)(6, 36)(7, 35)(8, 26)(9, 29)(10, 30)(11, 32)(12, 28)(13, 41)(14, 44)(15, 37)(16, 48)(17, 45)(18, 46)(19, 38)(20, 47)(21, 39)(22, 40)(23, 43)(24, 42)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C6 x C2 (small group id <12, 5>)
Aut   = C2 x C2 x S3 (small group id <24, 14>)
|r| :: 2
Presentation :: [ S^2, A^2, B^-1 * A, (S * Z)^2, S * B * S * A, A * Z * A * Z^-1, Z^6 ]
Map::
	R = (1, 14, 26, 38, 2, 17, 29, 41, 5, 21, 33, 45, 9, 20, 32, 44, 8, 16, 28, 40, 4, 13, 25, 37)(3, 18, 30, 42, 6, 22, 34, 46, 10, 24, 36, 48, 12, 23, 35, 47, 11, 19, 31, 43, 7, 15, 27, 39)
	L = (1, 27)(2, 30)(3, 25)(4, 31)(5, 34)(6, 26)(7, 28)(8, 35)(9, 36)(10, 29)(11, 32)(12, 33)(13, 39)(14, 42)(15, 37)(16, 43)(17, 46)(18, 38)(19, 40)(20, 47)(21, 48)(22, 41)(23, 44)(24, 45)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C15 (small group id <15, 1>)
Aut   = C5 x S3 (small group id <30, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, Z^3, (S * Z)^2, S * B * S * A, (B^-1, Z^-1), (A^-1, Z^-1), A^2 * B^-3 ]
Map:: non-degenerate
	R = (1, 17, 32, 47, 2, 20, 35, 50, 5, 16, 31, 46)(3, 21, 36, 51, 6, 24, 39, 54, 9, 18, 33, 48)(4, 22, 37, 52, 7, 26, 41, 56, 11, 19, 34, 49)(8, 27, 42, 57, 12, 29, 44, 59, 14, 23, 38, 53)(10, 28, 43, 58, 13, 30, 45, 60, 15, 25, 40, 55)
	L = (1, 33)(2, 36)(3, 38)(4, 31)(5, 39)(6, 42)(7, 32)(8, 40)(9, 44)(10, 34)(11, 35)(12, 43)(13, 37)(14, 45)(15, 41)(16, 48)(17, 51)(18, 53)(19, 46)(20, 54)(21, 57)(22, 47)(23, 55)(24, 59)(25, 49)(26, 50)(27, 58)(28, 52)(29, 60)(30, 56)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 30 f = 5
	degree seq :: [ 12^5 ]

E11.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, Z^3, (A^-1, Z^-1), (S * Z)^2, S * A * S * B, Z^-1 * B * Z * A^-1, A^2 * B * A^2 ]
Map::
	R = (1, 17, 32, 47, 2, 19, 34, 49, 4, 16, 31, 46)(3, 21, 36, 51, 6, 24, 39, 54, 9, 18, 33, 48)(5, 22, 37, 52, 7, 25, 40, 55, 10, 20, 35, 50)(8, 27, 42, 57, 12, 29, 44, 59, 14, 23, 38, 53)(11, 28, 43, 58, 13, 30, 45, 60, 15, 26, 41, 56)
	L = (1, 33)(2, 36)(3, 38)(4, 39)(5, 31)(6, 42)(7, 32)(8, 41)(9, 44)(10, 34)(11, 35)(12, 43)(13, 37)(14, 45)(15, 40)(16, 50)(17, 52)(18, 46)(19, 55)(20, 56)(21, 47)(22, 58)(23, 48)(24, 49)(25, 60)(26, 53)(27, 51)(28, 57)(29, 54)(30, 59)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 30 f = 5
	degree seq :: [ 12^5 ]

E11.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C5 : C4 (small group id <20, 3>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, (S * Z)^2, B * A^-3, S * B * S * A, A * Z * B^-1 * A^-1 * Z * B, Z * A * B * Z * B^-1 * A^-1, A^-1 * Z * B * Z * B^-1 * Z * A^-1 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 21, 41, 61)(3, 27, 47, 67, 7, 23, 43, 63)(4, 29, 49, 69, 9, 24, 44, 64)(5, 30, 50, 70, 10, 25, 45, 65)(6, 32, 52, 72, 12, 26, 46, 66)(8, 35, 55, 75, 15, 28, 48, 68)(11, 36, 56, 76, 16, 31, 51, 71)(13, 38, 58, 78, 18, 33, 53, 73)(14, 37, 57, 77, 17, 34, 54, 74)(19, 40, 60, 80, 20, 39, 59, 79)
	L = (1, 43)(2, 45)(3, 48)(4, 41)(5, 51)(6, 42)(7, 53)(8, 44)(9, 56)(10, 54)(11, 46)(12, 55)(13, 50)(14, 47)(15, 59)(16, 60)(17, 49)(18, 52)(19, 58)(20, 57)(21, 63)(22, 65)(23, 68)(24, 61)(25, 71)(26, 62)(27, 73)(28, 64)(29, 76)(30, 74)(31, 66)(32, 75)(33, 70)(34, 67)(35, 79)(36, 80)(37, 69)(38, 72)(39, 78)(40, 77)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E11.13
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C5 : C4 (small group id <20, 3>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, (S * Z)^2, B * A^-3, S * A * S * B, A^-1 * Z * A * B * Z * B^-1, Z * B * Z * A^2 * Z * B^-1, Z * A * Z * B * Z * B^-1 * A ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 21, 41, 61)(3, 27, 47, 67, 7, 23, 43, 63)(4, 29, 49, 69, 9, 24, 44, 64)(5, 30, 50, 70, 10, 25, 45, 65)(6, 32, 52, 72, 12, 26, 46, 66)(8, 35, 55, 75, 15, 28, 48, 68)(11, 34, 54, 74, 14, 31, 51, 71)(13, 36, 56, 76, 16, 33, 53, 73)(17, 38, 58, 78, 18, 37, 57, 77)(19, 40, 60, 80, 20, 39, 59, 79)
	L = (1, 43)(2, 45)(3, 48)(4, 41)(5, 51)(6, 42)(7, 53)(8, 44)(9, 56)(10, 58)(11, 46)(12, 57)(13, 59)(14, 47)(15, 50)(16, 52)(17, 49)(18, 60)(19, 54)(20, 55)(21, 63)(22, 65)(23, 68)(24, 61)(25, 71)(26, 62)(27, 73)(28, 64)(29, 76)(30, 78)(31, 66)(32, 77)(33, 79)(34, 67)(35, 70)(36, 72)(37, 69)(38, 80)(39, 74)(40, 75)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E11.12
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, S * B * S * A, (S * Z)^2, (A * Z)^10 ]
Map::
	R = (1, 22, 42, 62, 2, 21, 41, 61)(3, 25, 45, 65, 5, 23, 43, 63)(4, 26, 46, 66, 6, 24, 44, 64)(7, 29, 49, 69, 9, 27, 47, 67)(8, 30, 50, 70, 10, 28, 48, 68)(11, 33, 53, 73, 13, 31, 51, 71)(12, 34, 54, 74, 14, 32, 52, 72)(15, 37, 57, 77, 17, 35, 55, 75)(16, 38, 58, 78, 18, 36, 56, 76)(19, 40, 60, 80, 20, 39, 59, 79)
	L = (1, 43)(2, 44)(3, 41)(4, 42)(5, 47)(6, 48)(7, 45)(8, 46)(9, 51)(10, 52)(11, 49)(12, 50)(13, 55)(14, 56)(15, 53)(16, 54)(17, 59)(18, 60)(19, 57)(20, 58)(21, 63)(22, 64)(23, 61)(24, 62)(25, 67)(26, 68)(27, 65)(28, 66)(29, 71)(30, 72)(31, 69)(32, 70)(33, 75)(34, 76)(35, 73)(36, 74)(37, 79)(38, 80)(39, 77)(40, 78)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * A * S * B, A * Z * B^-1 * Z, B^5 * A^-5 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 21, 41, 61)(3, 26, 46, 66, 6, 23, 43, 63)(4, 25, 45, 65, 5, 24, 44, 64)(7, 30, 50, 70, 10, 27, 47, 67)(8, 29, 49, 69, 9, 28, 48, 68)(11, 34, 54, 74, 14, 31, 51, 71)(12, 33, 53, 73, 13, 32, 52, 72)(15, 38, 58, 78, 18, 35, 55, 75)(16, 37, 57, 77, 17, 36, 56, 76)(19, 40, 60, 80, 20, 39, 59, 79)
	L = (1, 43)(2, 45)(3, 47)(4, 41)(5, 49)(6, 42)(7, 51)(8, 44)(9, 53)(10, 46)(11, 55)(12, 48)(13, 57)(14, 50)(15, 59)(16, 52)(17, 60)(18, 54)(19, 56)(20, 58)(21, 63)(22, 65)(23, 67)(24, 61)(25, 69)(26, 62)(27, 71)(28, 64)(29, 73)(30, 66)(31, 75)(32, 68)(33, 77)(34, 70)(35, 79)(36, 72)(37, 80)(38, 74)(39, 76)(40, 78)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.16 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^5, Y2^2 * Y3^-3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 5, 20)(3, 18, 8, 23, 7, 22)(4, 19, 9, 24, 6, 21)(10, 25, 15, 30, 11, 26)(12, 27, 14, 29, 13, 28)(31, 46, 33, 48, 40, 55, 44, 59, 36, 51)(32, 47, 38, 53, 45, 60, 43, 58, 34, 49)(35, 50, 37, 52, 41, 56, 42, 57, 39, 54)
	L = (1, 34)(2, 39)(3, 32)(4, 42)(5, 36)(6, 43)(7, 31)(8, 35)(9, 44)(10, 38)(11, 33)(12, 40)(13, 41)(14, 45)(15, 37)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30^6 ), ( 30^10 ) }
Outer automorphisms :: reflexible
Dual of E11.23
Graph:: bipartite
	v = 8 e = 30 f = 2
	degree seq :: [ 6^5, 10^3 ]

E11.17 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, (R * Y3)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^3 * Y1^2, Y1^5, (Y1^-1 * Y3^-1)^3, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 6, 21, 13, 28, 5, 20)(3, 18, 7, 22, 11, 26, 15, 30, 10, 25)(4, 19, 8, 23, 14, 29, 9, 24, 12, 27)(31, 46, 33, 48, 39, 54, 43, 58, 45, 60, 38, 53, 32, 47, 37, 52, 42, 57, 35, 50, 40, 55, 44, 59, 36, 51, 41, 56, 34, 49)
	L = (1, 34)(2, 38)(3, 31)(4, 41)(5, 42)(6, 44)(7, 32)(8, 45)(9, 33)(10, 35)(11, 36)(12, 37)(13, 39)(14, 40)(15, 43)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E11.21
Graph:: bipartite
	v = 4 e = 30 f = 6
	degree seq :: [ 10^3, 30 ]

E11.18 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y3^-1, Y1 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^5, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 8, 23, 11, 26, 5, 20)(3, 18, 9, 24, 14, 29, 13, 28, 7, 22)(4, 19, 10, 25, 15, 30, 12, 27, 6, 21)(31, 46, 33, 48, 34, 49, 32, 47, 39, 54, 40, 55, 38, 53, 44, 59, 45, 60, 41, 56, 43, 58, 42, 57, 35, 50, 37, 52, 36, 51)
	L = (1, 34)(2, 40)(3, 32)(4, 39)(5, 36)(6, 33)(7, 31)(8, 45)(9, 38)(10, 44)(11, 42)(12, 37)(13, 35)(14, 41)(15, 43)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E11.22
Graph:: bipartite
	v = 4 e = 30 f = 6
	degree seq :: [ 10^3, 30 ]

E11.19 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2, (Y3, Y1^-1), Y2 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y1^-2, Y1^-1 * Y2^-3, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 8, 23, 14, 29, 5, 20)(3, 18, 9, 24, 15, 30, 7, 22, 12, 27)(4, 19, 10, 25, 13, 28, 6, 21, 11, 26)(31, 46, 33, 48, 43, 58, 35, 50, 42, 57, 40, 55, 44, 59, 37, 52, 34, 49, 38, 53, 45, 60, 41, 56, 32, 47, 39, 54, 36, 51)
	L = (1, 34)(2, 40)(3, 38)(4, 33)(5, 41)(6, 37)(7, 31)(8, 43)(9, 44)(10, 39)(11, 42)(12, 32)(13, 45)(14, 36)(15, 35)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E11.20
Graph:: bipartite
	v = 4 e = 30 f = 6
	degree seq :: [ 10^3, 30 ]

E11.20 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y3^-1 * Y1, Y1 * Y3^-1, Y2^3, Y2^-1 * Y3^-1 * Y2 * Y1, (Y1, Y2^-1), (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, Y1^5 * Y2, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 6, 21, 12, 27, 11, 26, 5, 20, 8, 23, 14, 29, 15, 30, 9, 24, 3, 18, 7, 22, 13, 28, 10, 25, 4, 19)(31, 46, 33, 48, 35, 50)(32, 47, 37, 52, 38, 53)(34, 49, 39, 54, 41, 56)(36, 51, 43, 58, 44, 59)(40, 55, 45, 60, 42, 57)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 42)(7, 43)(8, 44)(9, 33)(10, 34)(11, 35)(12, 41)(13, 40)(14, 45)(15, 39)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E11.19
Graph:: bipartite
	v = 6 e = 30 f = 4
	degree seq :: [ 6^5, 30 ]

E11.21 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2, Y2^3, (Y2, Y1), Y3 * Y2 * Y1^-2, Y2 * Y1^-1 * Y3 * Y1^-1, (Y3^-1, Y2^-1), Y1 * Y2^-1 * Y3^-1 * Y1, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 8, 23, 12, 27, 15, 30, 6, 21, 10, 25, 4, 19, 7, 22, 11, 26, 3, 18, 9, 24, 13, 28, 14, 29, 5, 20)(31, 46, 33, 48, 36, 51)(32, 47, 39, 54, 40, 55)(34, 49, 38, 53, 43, 58)(35, 50, 41, 56, 45, 60)(37, 52, 42, 57, 44, 59)
	L = (1, 34)(2, 37)(3, 38)(4, 35)(5, 40)(6, 43)(7, 31)(8, 41)(9, 42)(10, 44)(11, 32)(12, 33)(13, 45)(14, 36)(15, 39)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E11.17
Graph:: bipartite
	v = 6 e = 30 f = 4
	degree seq :: [ 6^5, 30 ]

E11.22 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y2^3, (Y1, Y2), Y3^2 * Y1^-1 * Y2^-1, Y1 * Y3^-1 * Y2 * Y3^-1, (Y3, Y2^-1), (R * Y1)^2, Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3^-2 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 7, 22, 10, 25, 14, 29, 6, 21, 9, 24, 15, 30, 11, 26, 12, 27, 3, 18, 8, 23, 13, 28, 4, 19, 5, 20)(31, 46, 33, 48, 36, 51)(32, 47, 38, 53, 39, 54)(34, 49, 41, 56, 40, 55)(35, 50, 42, 57, 44, 59)(37, 52, 43, 58, 45, 60)
	L = (1, 34)(2, 35)(3, 41)(4, 38)(5, 43)(6, 40)(7, 31)(8, 42)(9, 44)(10, 32)(11, 39)(12, 45)(13, 33)(14, 37)(15, 36)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E11.18
Graph:: bipartite
	v = 6 e = 30 f = 4
	degree seq :: [ 6^5, 30 ]

E11.23 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y1 * Y2^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3 * Y2 * Y1^-1, Y3^-4 * Y2^-1, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 4, 19, 8, 23, 12, 27, 11, 26, 10, 25, 3, 18, 6, 21, 9, 24, 13, 28, 15, 30, 14, 29, 7, 22, 5, 20)(31, 46, 33, 48, 35, 50, 40, 55, 37, 52, 41, 56, 44, 59, 42, 57, 45, 60, 38, 53, 43, 58, 34, 49, 39, 54, 32, 47, 36, 51)
	L = (1, 34)(2, 38)(3, 39)(4, 42)(5, 32)(6, 43)(7, 31)(8, 41)(9, 45)(10, 36)(11, 33)(12, 40)(13, 44)(14, 35)(15, 37)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 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 E11.16
Graph:: bipartite
	v = 2 e = 30 f = 8
	degree seq :: [ 30^2 ]

E11.24 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
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 * Y1, (Y1^-1 * Y2)^2, Y2^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y1^4, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3^-4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 11, 27, 14, 30, 6, 22, 13, 29, 12, 28, 5, 21)(2, 18, 7, 23, 15, 31, 10, 26, 3, 19, 9, 25, 16, 32, 8, 24)(33, 34, 38, 35)(36, 40, 45, 42)(37, 39, 46, 41)(43, 48, 44, 47)(49, 51, 54, 50)(52, 58, 61, 56)(53, 57, 62, 55)(59, 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) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E11.29
Graph:: bipartite
	v = 10 e = 32 f = 2
	degree seq :: [ 4^8, 16^2 ]

E11.25 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
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, R * Y1 * R * Y2, Y2^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, Y1^4, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 3, 19, 9, 25, 14, 30, 6, 22, 13, 29, 12, 28, 5, 21)(2, 18, 7, 23, 15, 31, 10, 26, 4, 20, 11, 27, 16, 32, 8, 24)(33, 34, 38, 36)(35, 40, 45, 42)(37, 39, 46, 43)(41, 48, 44, 47)(49, 50, 54, 52)(51, 56, 61, 58)(53, 55, 62, 59)(57, 64, 60, 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) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E11.30
Graph:: bipartite
	v = 10 e = 32 f = 2
	degree seq :: [ 4^8, 16^2 ]

E11.26 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C8 x C2) : C2 (small group id <32, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y3 * Y1^-1 * Y3 * Y2^-1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1^4, Y2^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y3^2 * Y1^-3, Y3^-2 * Y1^-2 * Y2 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 12, 28, 5, 21)(2, 18, 7, 23, 16, 32, 8, 24)(3, 19, 10, 26, 13, 29, 11, 27)(6, 22, 14, 30, 9, 25, 15, 31)(33, 34, 38, 45, 44, 48, 41, 35)(36, 40, 46, 42, 37, 39, 47, 43)(49, 51, 57, 64, 60, 61, 54, 50)(52, 59, 63, 55, 53, 58, 62, 56)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.31
Graph:: bipartite
	v = 8 e = 32 f = 4
	degree seq :: [ 8^8 ]

E11.27 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
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 * Y1, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y2, Y2^3 * Y3^2 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 12, 28, 5, 21)(2, 18, 7, 23, 16, 32, 8, 24)(3, 19, 10, 26, 13, 29, 11, 27)(6, 22, 14, 30, 9, 25, 15, 31)(33, 34, 38, 45, 44, 48, 41, 35)(36, 42, 47, 40, 37, 43, 46, 39)(49, 51, 57, 64, 60, 61, 54, 50)(52, 55, 62, 59, 53, 56, 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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.32
Graph:: bipartite
	v = 8 e = 32 f = 4
	degree seq :: [ 8^8 ]

E11.28 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y3^4, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y3^-2 * Y1^-2, Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1^2 * Y2^-1 * Y1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 12, 28, 5, 21)(2, 18, 7, 23, 16, 32, 8, 24)(3, 19, 10, 26, 13, 29, 11, 27)(6, 22, 14, 30, 9, 25, 15, 31)(33, 34, 38, 45, 44, 48, 41, 35)(36, 43, 47, 39, 37, 42, 46, 40)(49, 51, 57, 64, 60, 61, 54, 50)(52, 56, 62, 58, 53, 55, 63, 59)
	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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.33
Graph:: bipartite
	v = 8 e = 32 f = 4
	degree seq :: [ 8^8 ]

E11.29 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
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 * Y1, (Y1^-1 * Y2)^2, Y2^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y1^4, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3^-4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 11, 27, 43, 59, 14, 30, 46, 62, 6, 22, 38, 54, 13, 29, 45, 61, 12, 28, 44, 60, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 15, 31, 47, 63, 10, 26, 42, 58, 3, 19, 35, 51, 9, 25, 41, 57, 16, 32, 48, 64, 8, 24, 40, 56)
	L = (1, 18)(2, 22)(3, 17)(4, 24)(5, 23)(6, 19)(7, 30)(8, 29)(9, 21)(10, 20)(11, 32)(12, 31)(13, 26)(14, 25)(15, 27)(16, 28)(33, 51)(34, 49)(35, 54)(36, 58)(37, 57)(38, 50)(39, 53)(40, 52)(41, 62)(42, 61)(43, 63)(44, 64)(45, 56)(46, 55)(47, 60)(48, 59)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.24
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 32 f = 10
	degree seq :: [ 32^2 ]

E11.30 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
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, R * Y1 * R * Y2, Y2^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, Y1^4, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51, 9, 25, 41, 57, 14, 30, 46, 62, 6, 22, 38, 54, 13, 29, 45, 61, 12, 28, 44, 60, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 15, 31, 47, 63, 10, 26, 42, 58, 4, 20, 36, 52, 11, 27, 43, 59, 16, 32, 48, 64, 8, 24, 40, 56)
	L = (1, 18)(2, 22)(3, 24)(4, 17)(5, 23)(6, 20)(7, 30)(8, 29)(9, 32)(10, 19)(11, 21)(12, 31)(13, 26)(14, 27)(15, 25)(16, 28)(33, 50)(34, 54)(35, 56)(36, 49)(37, 55)(38, 52)(39, 62)(40, 61)(41, 64)(42, 51)(43, 53)(44, 63)(45, 58)(46, 59)(47, 57)(48, 60)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.25
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 32 f = 10
	degree seq :: [ 32^2 ]

E11.31 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C8 x C2) : C2 (small group id <32, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y3 * Y1^-1 * Y3 * Y2^-1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1^4, Y2^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y3^2 * Y1^-3, Y3^-2 * Y1^-2 * Y2 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 12, 28, 44, 60, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 16, 32, 48, 64, 8, 24, 40, 56)(3, 19, 35, 51, 10, 26, 42, 58, 13, 29, 45, 61, 11, 27, 43, 59)(6, 22, 38, 54, 14, 30, 46, 62, 9, 25, 41, 57, 15, 31, 47, 63)
	L = (1, 18)(2, 22)(3, 17)(4, 24)(5, 23)(6, 29)(7, 31)(8, 30)(9, 19)(10, 21)(11, 20)(12, 32)(13, 28)(14, 26)(15, 27)(16, 25)(33, 51)(34, 49)(35, 57)(36, 59)(37, 58)(38, 50)(39, 53)(40, 52)(41, 64)(42, 62)(43, 63)(44, 61)(45, 54)(46, 56)(47, 55)(48, 60)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E11.26
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 8
	degree seq :: [ 16^4 ]

E11.32 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
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 * Y1, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y2, Y2^3 * Y3^2 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 12, 28, 44, 60, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 16, 32, 48, 64, 8, 24, 40, 56)(3, 19, 35, 51, 10, 26, 42, 58, 13, 29, 45, 61, 11, 27, 43, 59)(6, 22, 38, 54, 14, 30, 46, 62, 9, 25, 41, 57, 15, 31, 47, 63)
	L = (1, 18)(2, 22)(3, 17)(4, 26)(5, 27)(6, 29)(7, 20)(8, 21)(9, 19)(10, 31)(11, 30)(12, 32)(13, 28)(14, 23)(15, 24)(16, 25)(33, 51)(34, 49)(35, 57)(36, 55)(37, 56)(38, 50)(39, 62)(40, 63)(41, 64)(42, 52)(43, 53)(44, 61)(45, 54)(46, 59)(47, 58)(48, 60)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E11.27
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 8
	degree seq :: [ 16^4 ]

E11.33 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y3^4, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y3^-2 * Y1^-2, Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1^2 * Y2^-1 * Y1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 12, 28, 44, 60, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 16, 32, 48, 64, 8, 24, 40, 56)(3, 19, 35, 51, 10, 26, 42, 58, 13, 29, 45, 61, 11, 27, 43, 59)(6, 22, 38, 54, 14, 30, 46, 62, 9, 25, 41, 57, 15, 31, 47, 63)
	L = (1, 18)(2, 22)(3, 17)(4, 27)(5, 26)(6, 29)(7, 21)(8, 20)(9, 19)(10, 30)(11, 31)(12, 32)(13, 28)(14, 24)(15, 23)(16, 25)(33, 51)(34, 49)(35, 57)(36, 56)(37, 55)(38, 50)(39, 63)(40, 62)(41, 64)(42, 53)(43, 52)(44, 61)(45, 54)(46, 58)(47, 59)(48, 60)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E11.28
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 8
	degree seq :: [ 16^4 ]

E11.34 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3, Y2^2 * Y1^2, (Y1, Y3^-1), Y1^4, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2)^2, Y1^2 * Y2^-2, Y3 * Y1^2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 9, 25, 6, 22, 11, 27)(4, 20, 10, 26, 13, 29, 14, 30)(7, 23, 12, 28, 15, 31, 16, 32)(33, 49, 35, 51, 40, 56, 38, 54)(34, 50, 41, 57, 37, 53, 43, 59)(36, 52, 39, 55, 45, 61, 47, 63)(42, 58, 44, 60, 46, 62, 48, 64)
	L = (1, 36)(2, 42)(3, 39)(4, 38)(5, 46)(6, 47)(7, 33)(8, 45)(9, 44)(10, 43)(11, 48)(12, 34)(13, 35)(14, 41)(15, 40)(16, 37)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.45
Graph:: bipartite
	v = 8 e = 32 f = 4
	degree seq :: [ 8^8 ]

E11.35 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y2^-1, Y1), Y2^4 * Y1^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	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, 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, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.36 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, Y2^2 * Y1, Y1^4, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 6, 22, 9, 25, 11, 27)(4, 20, 8, 24, 14, 30, 12, 28)(10, 26, 13, 29, 15, 31, 16, 32)(33, 49, 35, 51, 37, 53, 43, 59, 39, 55, 41, 57, 34, 50, 38, 54)(36, 52, 42, 58, 44, 60, 48, 64, 46, 62, 47, 63, 40, 56, 45, 61)
	L = (1, 36)(2, 40)(3, 42)(4, 33)(5, 44)(6, 45)(7, 46)(8, 34)(9, 47)(10, 35)(11, 48)(12, 37)(13, 38)(14, 39)(15, 41)(16, 43)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.38
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.37 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, Y2 * Y1^-1 * Y2, Y1^4, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, Y2 * Y3 * Y2^-1 * Y3, (R * Y3)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 8, 24, 13, 29, 6, 22)(4, 20, 9, 25, 14, 30, 11, 27)(10, 26, 15, 31, 16, 32, 12, 28)(33, 49, 35, 51, 34, 50, 40, 56, 39, 55, 45, 61, 37, 53, 38, 54)(36, 52, 42, 58, 41, 57, 47, 63, 46, 62, 48, 64, 43, 59, 44, 60)
	L = (1, 36)(2, 41)(3, 42)(4, 33)(5, 43)(6, 44)(7, 46)(8, 47)(9, 34)(10, 35)(11, 37)(12, 38)(13, 48)(14, 39)(15, 40)(16, 45)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.39
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.38 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, Y3 * Y1^-1 * Y2^-2, Y1^-1 * Y3 * Y2^-2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (Y2^-1, Y1^-1), Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 8, 24, 14, 30, 13, 29)(4, 20, 9, 25, 15, 31, 11, 27)(6, 22, 10, 26, 16, 32, 12, 28)(33, 49, 35, 51, 43, 59, 48, 64, 39, 55, 46, 62, 41, 57, 38, 54)(34, 50, 40, 56, 36, 52, 44, 60, 37, 53, 45, 61, 47, 63, 42, 58)
	L = (1, 36)(2, 41)(3, 44)(4, 33)(5, 43)(6, 40)(7, 47)(8, 38)(9, 34)(10, 46)(11, 37)(12, 35)(13, 48)(14, 42)(15, 39)(16, 45)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.36
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.39 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, (Y2^-1, Y1^-1), Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2 * Y1^-1, Y1^4, (R * Y2 * Y3)^2, Y2^8 ]
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, 41, 57, 48, 64, 39, 55, 46, 62, 44, 60, 38, 54)(34, 50, 40, 56, 47, 63, 45, 61, 37, 53, 43, 59, 36, 52, 42, 58)
	L = (1, 36)(2, 41)(3, 42)(4, 33)(5, 44)(6, 43)(7, 47)(8, 48)(9, 34)(10, 35)(11, 38)(12, 37)(13, 46)(14, 45)(15, 39)(16, 40)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.37
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.40 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, Y1^-1 * Y3 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, Y2^4 * Y3 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 4, 20, 5, 21)(3, 19, 7, 23, 10, 26, 11, 27)(6, 22, 8, 24, 12, 28, 13, 29)(9, 25, 15, 31, 14, 30, 16, 32)(33, 49, 35, 51, 41, 57, 44, 60, 36, 52, 42, 58, 46, 62, 38, 54)(34, 50, 39, 55, 47, 63, 45, 61, 37, 53, 43, 59, 48, 64, 40, 56)
	L = (1, 36)(2, 37)(3, 42)(4, 33)(5, 34)(6, 44)(7, 43)(8, 45)(9, 46)(10, 35)(11, 39)(12, 38)(13, 40)(14, 41)(15, 48)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.41 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 17, 2, 18, 6, 22, 4, 20)(3, 19, 8, 24, 13, 29, 10, 26)(5, 21, 7, 23, 14, 30, 11, 27)(9, 25, 16, 32, 12, 28, 15, 31)(33, 49, 35, 51, 41, 57, 46, 62, 38, 54, 45, 61, 44, 60, 37, 53)(34, 50, 39, 55, 47, 63, 42, 58, 36, 52, 43, 59, 48, 64, 40, 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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.42 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^4 * Y3 ]
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, 16, 32, 14, 30, 15, 31)(33, 49, 35, 51, 41, 57, 44, 60, 36, 52, 42, 58, 46, 62, 38, 54)(34, 50, 39, 55, 47, 63, 43, 59, 37, 53, 45, 61, 48, 64, 40, 56)
	L = (1, 36)(2, 37)(3, 42)(4, 33)(5, 34)(6, 44)(7, 45)(8, 43)(9, 46)(10, 35)(11, 40)(12, 38)(13, 39)(14, 41)(15, 48)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.43 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^4, Y1^2 * Y3^-2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2 * Y1^2 * Y2 * Y3^-1, (Y3 * Y1^2)^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 11, 27, 15, 31, 13, 29)(4, 20, 12, 28, 7, 23, 10, 26)(6, 22, 9, 25, 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, 45, 61, 37, 53, 48, 64, 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, 48)(12, 34)(13, 41)(14, 35)(15, 46)(16, 45)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.44 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1^2 * Y3^-2, Y3^2 * Y1^2, Y1^-1 * Y3^2 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^4, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y2)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y3^2 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 11, 27, 16, 32, 14, 30)(4, 20, 12, 28, 7, 23, 10, 26)(6, 22, 9, 25, 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, 46, 62, 37, 53, 47, 63, 44, 60, 43, 59)
	L = (1, 36)(2, 42)(3, 45)(4, 40)(5, 44)(6, 35)(7, 33)(8, 39)(9, 46)(10, 37)(11, 41)(12, 34)(13, 48)(14, 47)(15, 43)(16, 38)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.45 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3, (Y3^-1, Y1), Y2 * Y1 * Y3^-1 * Y1, Y3 * Y2^-1 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y3^-3 * Y2^-1 * Y1^2, Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 11, 27, 15, 31, 14, 30, 9, 25, 5, 21)(3, 19, 7, 23, 4, 20, 8, 24, 12, 28, 16, 32, 13, 29, 10, 26)(33, 49, 35, 51, 41, 57, 45, 61, 47, 63, 44, 60, 38, 54, 36, 52)(34, 50, 39, 55, 37, 53, 42, 58, 46, 62, 48, 64, 43, 59, 40, 56)
	L = (1, 36)(2, 40)(3, 33)(4, 38)(5, 39)(6, 44)(7, 34)(8, 43)(9, 35)(10, 37)(11, 48)(12, 47)(13, 41)(14, 42)(15, 45)(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 ) }
Outer automorphisms :: reflexible
Dual of E11.34
Graph:: bipartite
	v = 4 e = 32 f = 8
	degree seq :: [ 16^4 ]

E11.46 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 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, Y1 * Y2, (Y1^-1 * Y2)^2, Y2^4, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2^-1, R * Y1 * R * Y2, Y1^4, Y3 * Y2^-1 * Y3^3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 11, 27, 14, 30, 6, 22, 13, 29, 12, 28, 5, 21)(2, 18, 7, 23, 15, 31, 10, 26, 3, 19, 9, 25, 16, 32, 8, 24)(33, 34, 38, 35)(36, 41, 45, 39)(37, 42, 46, 40)(43, 47, 44, 48)(49, 51, 54, 50)(52, 55, 61, 57)(53, 56, 62, 58)(59, 64, 60, 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) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E11.51
Graph:: bipartite
	v = 10 e = 32 f = 2
	degree seq :: [ 4^8, 16^2 ]

E11.47 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1^4, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, R * Y2 * R * Y1, Y2^4, Y1^-1 * Y3^-4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 3, 19, 10, 26, 14, 30, 6, 22, 13, 29, 12, 28, 5, 21)(2, 18, 7, 23, 15, 31, 9, 25, 4, 20, 11, 27, 16, 32, 8, 24)(33, 34, 38, 36)(35, 41, 45, 40)(37, 43, 46, 39)(42, 48, 44, 47)(49, 50, 54, 52)(51, 57, 61, 56)(53, 59, 62, 55)(58, 64, 60, 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) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E11.52
Graph:: bipartite
	v = 10 e = 32 f = 2
	degree seq :: [ 4^8, 16^2 ]

E11.48 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, (Y1^-1 * Y2)^2, Y2^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, Y1^4, Y3 * Y2^-1 * Y3^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 11, 27, 14, 30, 6, 22, 13, 29, 12, 28, 5, 21)(2, 18, 7, 23, 15, 31, 10, 26, 3, 19, 9, 25, 16, 32, 8, 24)(33, 34, 38, 35)(36, 42, 45, 40)(37, 41, 46, 39)(43, 48, 44, 47)(49, 51, 54, 50)(52, 56, 61, 58)(53, 55, 62, 57)(59, 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) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E11.53
Graph:: bipartite
	v = 10 e = 32 f = 2
	degree seq :: [ 4^8, 16^2 ]

E11.49 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1 * Y2, Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y3^-2 * Y2^-1, Y3 * Y2 * Y1 * Y3, (Y2^-1 * Y1^-1)^2, (Y2^-1, Y1^-1), Y3^-1 * Y2 * Y3 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3 * Y2^-1)^2, (Y3 * Y1)^2, (Y3 * 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, 35, 41, 38, 43, 37)(36, 45, 48, 42, 39, 46, 47, 44)(49, 51, 59, 50, 57, 53, 56, 54)(52, 58, 63, 61, 55, 60, 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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.54
Graph:: bipartite
	v = 8 e = 32 f = 4
	degree seq :: [ 8^8 ]

E11.50 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C2 x Q8) : C2 (small group id <32, 44>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^2, Y2^2 * Y1^-1 * Y2, Y1^-1 * Y3^-2 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y2^-1, Y1^-1), Y1^-1 * Y2 * Y1^-2, Y2^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1^-1, Y3^4 ]
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, 35, 41, 38, 43, 37)(36, 46, 48, 44, 39, 45, 47, 42)(49, 51, 59, 50, 57, 53, 56, 54)(52, 60, 63, 62, 55, 58, 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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.55
Graph:: bipartite
	v = 8 e = 32 f = 4
	degree seq :: [ 8^8 ]

E11.51 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 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, Y1 * Y2, (Y1^-1 * Y2)^2, Y2^4, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2^-1, R * Y1 * R * Y2, Y1^4, Y3 * Y2^-1 * Y3^3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 11, 27, 43, 59, 14, 30, 46, 62, 6, 22, 38, 54, 13, 29, 45, 61, 12, 28, 44, 60, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 15, 31, 47, 63, 10, 26, 42, 58, 3, 19, 35, 51, 9, 25, 41, 57, 16, 32, 48, 64, 8, 24, 40, 56)
	L = (1, 18)(2, 22)(3, 17)(4, 25)(5, 26)(6, 19)(7, 20)(8, 21)(9, 29)(10, 30)(11, 31)(12, 32)(13, 23)(14, 24)(15, 28)(16, 27)(33, 51)(34, 49)(35, 54)(36, 55)(37, 56)(38, 50)(39, 61)(40, 62)(41, 52)(42, 53)(43, 64)(44, 63)(45, 57)(46, 58)(47, 59)(48, 60)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.46
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 32 f = 10
	degree seq :: [ 32^2 ]

E11.52 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1^4, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, R * Y2 * R * Y1, Y2^4, Y1^-1 * Y3^-4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51, 10, 26, 42, 58, 14, 30, 46, 62, 6, 22, 38, 54, 13, 29, 45, 61, 12, 28, 44, 60, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 15, 31, 47, 63, 9, 25, 41, 57, 4, 20, 36, 52, 11, 27, 43, 59, 16, 32, 48, 64, 8, 24, 40, 56)
	L = (1, 18)(2, 22)(3, 25)(4, 17)(5, 27)(6, 20)(7, 21)(8, 19)(9, 29)(10, 32)(11, 30)(12, 31)(13, 24)(14, 23)(15, 26)(16, 28)(33, 50)(34, 54)(35, 57)(36, 49)(37, 59)(38, 52)(39, 53)(40, 51)(41, 61)(42, 64)(43, 62)(44, 63)(45, 56)(46, 55)(47, 58)(48, 60)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.47
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 32 f = 10
	degree seq :: [ 32^2 ]

E11.53 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, (Y1^-1 * Y2)^2, Y2^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, Y1^4, Y3 * Y2^-1 * Y3^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 11, 27, 43, 59, 14, 30, 46, 62, 6, 22, 38, 54, 13, 29, 45, 61, 12, 28, 44, 60, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 15, 31, 47, 63, 10, 26, 42, 58, 3, 19, 35, 51, 9, 25, 41, 57, 16, 32, 48, 64, 8, 24, 40, 56)
	L = (1, 18)(2, 22)(3, 17)(4, 26)(5, 25)(6, 19)(7, 21)(8, 20)(9, 30)(10, 29)(11, 32)(12, 31)(13, 24)(14, 23)(15, 27)(16, 28)(33, 51)(34, 49)(35, 54)(36, 56)(37, 55)(38, 50)(39, 62)(40, 61)(41, 53)(42, 52)(43, 63)(44, 64)(45, 58)(46, 57)(47, 60)(48, 59)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.48
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 32 f = 10
	degree seq :: [ 32^2 ]

E11.54 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1 * Y2, Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y3^-2 * Y2^-1, Y3 * Y2 * Y1 * Y3, (Y2^-1 * Y1^-1)^2, (Y2^-1, Y1^-1), Y3^-1 * Y2 * Y3 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3 * Y2^-1)^2, (Y3 * Y1)^2, (Y3 * 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, 19)(9, 22)(10, 23)(11, 21)(12, 20)(13, 32)(14, 31)(15, 28)(16, 26)(33, 51)(34, 57)(35, 59)(36, 58)(37, 56)(38, 49)(39, 60)(40, 54)(41, 53)(42, 63)(43, 50)(44, 64)(45, 55)(46, 52)(47, 61)(48, 62)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E11.49
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 8
	degree seq :: [ 16^4 ]

E11.55 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C2 x Q8) : C2 (small group id <32, 44>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^2, Y2^2 * Y1^-1 * Y2, Y1^-1 * Y3^-2 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y2^-1, Y1^-1), Y1^-1 * Y2 * Y1^-2, Y2^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1^-1, Y3^4 ]
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, 19)(9, 22)(10, 20)(11, 21)(12, 23)(13, 31)(14, 32)(15, 26)(16, 28)(33, 51)(34, 57)(35, 59)(36, 60)(37, 56)(38, 49)(39, 58)(40, 54)(41, 53)(42, 64)(43, 50)(44, 63)(45, 52)(46, 55)(47, 62)(48, 61)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E11.50
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 8
	degree seq :: [ 16^4 ]

E11.56 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^4, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2^-4 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 17, 2, 18, 6, 22, 4, 20)(3, 19, 9, 25, 13, 29, 8, 24)(5, 21, 11, 27, 14, 30, 7, 23)(10, 26, 16, 32, 12, 28, 15, 31)(33, 49, 35, 51, 42, 58, 46, 62, 38, 54, 45, 61, 44, 60, 37, 53)(34, 50, 39, 55, 47, 63, 41, 57, 36, 52, 43, 59, 48, 64, 40, 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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.57 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y1 * Y2^-1 * Y1, Y2^3 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	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, 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, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.58 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1, Y2 * Y3 * Y2^-1 * Y3, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (Y2^-1 * R)^2, Y2^4 * Y3 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 4, 20, 5, 21)(3, 19, 9, 25, 11, 27, 8, 24)(6, 22, 13, 29, 12, 28, 7, 23)(10, 26, 16, 32, 14, 30, 15, 31)(33, 49, 35, 51, 42, 58, 44, 60, 36, 52, 43, 59, 46, 62, 38, 54)(34, 50, 39, 55, 47, 63, 41, 57, 37, 53, 45, 61, 48, 64, 40, 56)
	L = (1, 36)(2, 37)(3, 43)(4, 33)(5, 34)(6, 44)(7, 45)(8, 41)(9, 40)(10, 46)(11, 35)(12, 38)(13, 39)(14, 42)(15, 48)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.59 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, Y1^2 * Y3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, Y2^4 * Y3, (Y2 * Y1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 4, 20, 5, 21)(3, 19, 9, 25, 11, 27, 7, 23)(6, 22, 13, 29, 12, 28, 8, 24)(10, 26, 15, 31, 14, 30, 16, 32)(33, 49, 35, 51, 42, 58, 44, 60, 36, 52, 43, 59, 46, 62, 38, 54)(34, 50, 39, 55, 47, 63, 45, 61, 37, 53, 41, 57, 48, 64, 40, 56)
	L = (1, 36)(2, 37)(3, 43)(4, 33)(5, 34)(6, 44)(7, 41)(8, 45)(9, 39)(10, 46)(11, 35)(12, 38)(13, 40)(14, 42)(15, 48)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.60 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, Y2^2 * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, Y1^4, Y2 * Y1^-1 * R * Y2^-1 * R, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 6, 22, 9, 25, 11, 27)(4, 20, 8, 24, 16, 32, 13, 29)(10, 26, 15, 31, 12, 28, 14, 30)(33, 49, 35, 51, 37, 53, 43, 59, 39, 55, 41, 57, 34, 50, 38, 54)(36, 52, 44, 60, 45, 61, 47, 63, 48, 64, 42, 58, 40, 56, 46, 62)
	L = (1, 36)(2, 40)(3, 42)(4, 33)(5, 45)(6, 47)(7, 48)(8, 34)(9, 44)(10, 35)(11, 46)(12, 41)(13, 37)(14, 43)(15, 38)(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, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.63
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.61 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, Y2 * Y1^-1 * Y2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1 * Y2 * R * Y2^-1 * R, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 8, 24, 14, 30, 6, 22)(4, 20, 9, 25, 16, 32, 12, 28)(10, 26, 13, 29, 11, 27, 15, 31)(33, 49, 35, 51, 34, 50, 40, 56, 39, 55, 46, 62, 37, 53, 38, 54)(36, 52, 43, 59, 41, 57, 47, 63, 48, 64, 42, 58, 44, 60, 45, 61)
	L = (1, 36)(2, 41)(3, 42)(4, 33)(5, 44)(6, 47)(7, 48)(8, 45)(9, 34)(10, 35)(11, 46)(12, 37)(13, 40)(14, 43)(15, 38)(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, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.62
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.62 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, Y1^-1 * Y3 * Y2^-2, Y3 * Y1^-1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1, Y1^4, Y1^-2 * Y2^4, (R * Y2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 11, 27, 14, 30, 8, 24)(4, 20, 9, 25, 15, 31, 12, 28)(6, 22, 13, 29, 16, 32, 10, 26)(33, 49, 35, 51, 44, 60, 48, 64, 39, 55, 46, 62, 41, 57, 38, 54)(34, 50, 40, 56, 36, 52, 45, 61, 37, 53, 43, 59, 47, 63, 42, 58)
	L = (1, 36)(2, 41)(3, 42)(4, 33)(5, 44)(6, 43)(7, 47)(8, 48)(9, 34)(10, 35)(11, 38)(12, 37)(13, 46)(14, 45)(15, 39)(16, 40)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.61
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.63 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, Y3 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^2 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3)^2, (Y1 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 5, 21)(3, 19, 11, 27, 14, 30, 8, 24)(4, 20, 9, 25, 15, 31, 13, 29)(6, 22, 12, 28, 16, 32, 10, 26)(33, 49, 35, 51, 41, 57, 48, 64, 39, 55, 46, 62, 45, 61, 38, 54)(34, 50, 40, 56, 47, 63, 44, 60, 37, 53, 43, 59, 36, 52, 42, 58)
	L = (1, 36)(2, 41)(3, 44)(4, 33)(5, 45)(6, 40)(7, 47)(8, 38)(9, 34)(10, 46)(11, 48)(12, 35)(13, 37)(14, 42)(15, 39)(16, 43)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.60
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.64 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, Y1^-2 * Y3^2, Y3^4, Y1^4, (Y2 * Y1^-1)^2, Y1^2 * Y3^-2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y2)^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 13, 29, 15, 31, 11, 27)(4, 20, 12, 28, 7, 23, 10, 26)(6, 22, 16, 32, 14, 30, 9, 25)(33, 49, 35, 51, 39, 55, 46, 62, 40, 56, 47, 63, 36, 52, 38, 54)(34, 50, 41, 57, 44, 60, 45, 61, 37, 53, 48, 64, 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, 48)(12, 34)(13, 41)(14, 35)(15, 46)(16, 45)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.65 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^-2 * Y3^-2, Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1^-1, Y3^4, (Y2^-1 * Y1^-1)^2, Y1^4, Y1^-2 * Y2 * Y3 * Y2, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 13, 29, 16, 32, 11, 27)(4, 20, 12, 28, 7, 23, 10, 26)(6, 22, 15, 31, 14, 30, 9, 25)(33, 49, 35, 51, 36, 52, 46, 62, 40, 56, 48, 64, 39, 55, 38, 54)(34, 50, 41, 57, 42, 58, 45, 61, 37, 53, 47, 63, 44, 60, 43, 59)
	L = (1, 36)(2, 42)(3, 46)(4, 40)(5, 44)(6, 35)(7, 33)(8, 39)(9, 45)(10, 37)(11, 41)(12, 34)(13, 47)(14, 48)(15, 43)(16, 38)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 32 f = 6
	degree seq :: [ 8^4, 16^2 ]

E11.66 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y2^4 * Y1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 7, 23)(4, 20, 8, 24)(5, 21, 9, 25)(6, 22, 10, 26)(11, 27, 14, 30)(12, 28, 15, 31)(13, 29, 16, 32)(33, 49, 35, 51, 43, 59, 41, 57, 34, 50, 39, 55, 46, 62, 37, 53)(36, 52, 38, 54, 44, 60, 48, 64, 40, 56, 42, 58, 47, 63, 45, 61)
	L = (1, 36)(2, 40)(3, 38)(4, 37)(5, 45)(6, 33)(7, 42)(8, 41)(9, 48)(10, 34)(11, 44)(12, 35)(13, 46)(14, 47)(15, 39)(16, 43)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E11.75
Graph:: bipartite
	v = 10 e = 32 f = 2
	degree seq :: [ 4^8, 16^2 ]

E11.67 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y3^-1, Y1^-1), Y3^-3 * Y1, Y1^-2 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 4, 20, 10, 26, 7, 23, 12, 28, 5, 21)(3, 19, 9, 25, 16, 32, 6, 22, 11, 27, 14, 30, 15, 31, 13, 29)(33, 49, 35, 51, 39, 55, 46, 62, 40, 56, 48, 64, 37, 53, 45, 61, 42, 58, 43, 59, 34, 50, 41, 57, 44, 60, 47, 63, 36, 52, 38, 54)
	L = (1, 36)(2, 42)(3, 38)(4, 44)(5, 40)(6, 47)(7, 33)(8, 39)(9, 43)(10, 37)(11, 45)(12, 34)(13, 48)(14, 35)(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) :: { ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.73
Graph:: bipartite
	v = 3 e = 32 f = 9
	degree seq :: [ 16^2, 32 ]

E11.68 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (Y3^-1, Y1^-1), Y1^-1 * Y3 * Y1^-2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^2 * Y3^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y3^-2 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 4, 20, 10, 26, 7, 23, 12, 28, 5, 21)(3, 19, 9, 25, 16, 32, 13, 29, 15, 31, 6, 22, 11, 27, 14, 30)(33, 49, 35, 51, 36, 52, 45, 61, 44, 60, 43, 59, 34, 50, 41, 57, 42, 58, 47, 63, 37, 53, 46, 62, 40, 56, 48, 64, 39, 55, 38, 54)
	L = (1, 36)(2, 42)(3, 45)(4, 44)(5, 40)(6, 35)(7, 33)(8, 39)(9, 47)(10, 37)(11, 41)(12, 34)(13, 43)(14, 48)(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, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.71
Graph:: bipartite
	v = 3 e = 32 f = 9
	degree seq :: [ 16^2, 32 ]

E11.69 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y1^-3 * Y3, Y3 * Y1^-1 * Y3^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (Y1^-1, Y3^-1), (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 4, 20, 9, 25, 7, 23, 11, 27, 5, 21)(3, 19, 6, 22, 10, 26, 12, 28, 15, 31, 14, 30, 16, 32, 13, 29)(33, 49, 35, 51, 37, 53, 45, 61, 43, 59, 48, 64, 39, 55, 46, 62, 41, 57, 47, 63, 36, 52, 44, 60, 40, 56, 42, 58, 34, 50, 38, 54)
	L = (1, 36)(2, 41)(3, 44)(4, 43)(5, 40)(6, 47)(7, 33)(8, 39)(9, 37)(10, 46)(11, 34)(12, 48)(13, 42)(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, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.74
Graph:: bipartite
	v = 3 e = 32 f = 9
	degree seq :: [ 16^2, 32 ]

E11.70 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y1 * Y3^-1 * Y1^2, Y1 * Y3^2 * Y1, Y1 * Y3^-3, (Y3^-1, Y1^-1), Y1^-2 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^2 * Y3^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 4, 20, 10, 26, 7, 23, 11, 27, 5, 21)(3, 19, 9, 25, 14, 30, 12, 28, 16, 32, 13, 29, 15, 31, 6, 22)(33, 49, 35, 51, 34, 50, 41, 57, 40, 56, 46, 62, 36, 52, 44, 60, 42, 58, 48, 64, 39, 55, 45, 61, 43, 59, 47, 63, 37, 53, 38, 54)
	L = (1, 36)(2, 42)(3, 44)(4, 43)(5, 40)(6, 46)(7, 33)(8, 39)(9, 48)(10, 37)(11, 34)(12, 47)(13, 35)(14, 45)(15, 41)(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, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.72
Graph:: bipartite
	v = 3 e = 32 f = 9
	degree seq :: [ 16^2, 32 ]

E11.71 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3, Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y2)^2, Y3^4 * Y2, Y3 * Y2 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 8, 24, 14, 30, 16, 32, 9, 25, 10, 26, 3, 19, 7, 23, 11, 27, 15, 31, 12, 28, 13, 29, 4, 20, 5, 21)(33, 49, 35, 51)(34, 50, 39, 55)(36, 52, 41, 57)(37, 53, 42, 58)(38, 54, 43, 59)(40, 56, 47, 63)(44, 60, 46, 62)(45, 61, 48, 64)
	L = (1, 36)(2, 37)(3, 41)(4, 44)(5, 45)(6, 33)(7, 42)(8, 34)(9, 46)(10, 48)(11, 35)(12, 43)(13, 47)(14, 38)(15, 39)(16, 40)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.68
Graph:: bipartite
	v = 9 e = 32 f = 3
	degree seq :: [ 4^8, 32 ]

E11.72 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^-2, (R * Y1)^2, Y1 * Y2 * Y1^-1 * Y2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, Y2 * Y3^-4, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 4, 20, 8, 24, 12, 28, 16, 32, 11, 27, 10, 26, 3, 19, 7, 23, 9, 25, 15, 31, 14, 30, 13, 29, 6, 22, 5, 21)(33, 49, 35, 51)(34, 50, 39, 55)(36, 52, 41, 57)(37, 53, 42, 58)(38, 54, 43, 59)(40, 56, 47, 63)(44, 60, 46, 62)(45, 61, 48, 64)
	L = (1, 36)(2, 40)(3, 41)(4, 44)(5, 34)(6, 33)(7, 47)(8, 48)(9, 46)(10, 39)(11, 35)(12, 43)(13, 37)(14, 38)(15, 45)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.70
Graph:: bipartite
	v = 9 e = 32 f = 3
	degree seq :: [ 4^8, 32 ]

E11.73 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y1^-1 * Y2 * Y1, Y3 * Y1^-1 * Y2 * Y1^-1, Y1^-2 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y3 * Y1^-2, Y2 * Y3^4, Y3 * Y1^12 * Y3, (Y3^-1 * Y1^-1)^16 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 15, 31, 12, 28, 13, 29, 6, 22, 10, 26, 3, 19, 8, 24, 4, 20, 9, 25, 14, 30, 16, 32, 11, 27, 5, 21)(33, 49, 35, 51)(34, 50, 40, 56)(36, 52, 39, 55)(37, 53, 42, 58)(38, 54, 43, 59)(41, 57, 47, 63)(44, 60, 46, 62)(45, 61, 48, 64)
	L = (1, 36)(2, 41)(3, 39)(4, 44)(5, 40)(6, 33)(7, 46)(8, 47)(9, 45)(10, 34)(11, 35)(12, 43)(13, 37)(14, 38)(15, 48)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.67
Graph:: bipartite
	v = 9 e = 32 f = 3
	degree seq :: [ 4^8, 32 ]

E11.74 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ Y2^2, R^2, 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^-1 * Y2 * Y3^-3, Y3^-2 * Y1^12 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 15, 31, 14, 30, 13, 29, 4, 20, 9, 25, 3, 19, 8, 24, 6, 22, 10, 26, 12, 28, 16, 32, 11, 27, 5, 21)(33, 49, 35, 51)(34, 50, 40, 56)(36, 52, 43, 59)(37, 53, 41, 57)(38, 54, 39, 55)(42, 58, 47, 63)(44, 60, 46, 62)(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, 46)(12, 39)(13, 42)(14, 38)(15, 40)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.69
Graph:: bipartite
	v = 9 e = 32 f = 3
	degree seq :: [ 4^8, 32 ]

E11.75 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1^-2, (Y2^-1, Y3^-1), Y2^-1 * Y1 * Y3^-1 * Y1, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-2, Y1^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-2 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 7, 23, 12, 28, 3, 19, 9, 25, 15, 31, 14, 30, 16, 32, 13, 29, 6, 22, 11, 27, 4, 20, 10, 26, 5, 21)(33, 49, 35, 51, 45, 61, 37, 53, 44, 60, 48, 64, 42, 58, 39, 55, 46, 62, 36, 52, 40, 56, 47, 63, 43, 59, 34, 50, 41, 57, 38, 54)
	L = (1, 36)(2, 42)(3, 40)(4, 45)(5, 43)(6, 46)(7, 33)(8, 37)(9, 39)(10, 38)(11, 48)(12, 34)(13, 47)(14, 35)(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, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.66
Graph:: bipartite
	v = 2 e = 32 f = 10
	degree seq :: [ 32^2 ]

E11.76 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3 * Y1, Y3 * Y2^-1 * Y3^2, Y1 * Y3^-1 * Y1 * Y3, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 7, 25)(4, 22, 8, 26)(5, 23, 9, 27)(6, 24, 10, 28)(11, 29, 15, 33)(12, 30, 16, 34)(13, 31, 17, 35)(14, 32, 18, 36)(37, 55, 39, 57, 45, 63, 38, 56, 43, 61, 41, 59)(40, 58, 47, 65, 53, 71, 44, 62, 51, 69, 49, 67)(42, 60, 48, 66, 54, 72, 46, 64, 52, 70, 50, 68)
	L = (1, 40)(2, 44)(3, 47)(4, 48)(5, 49)(6, 37)(7, 51)(8, 52)(9, 53)(10, 38)(11, 54)(12, 39)(13, 42)(14, 41)(15, 50)(16, 43)(17, 46)(18, 45)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 18^4 ), ( 18^12 ) }
Outer automorphisms :: reflexible
Dual of E11.81
Graph:: bipartite
	v = 12 e = 36 f = 4
	degree seq :: [ 4^9, 12^3 ]

E11.77 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y3^-1, Y2^-3 * Y3, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y2, Y3), (Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 4, 22, 9, 27, 7, 25, 5, 23)(3, 21, 8, 26, 12, 30, 18, 36, 14, 32, 13, 31)(6, 24, 10, 28, 11, 29, 17, 35, 16, 34, 15, 33)(37, 55, 39, 57, 47, 65, 40, 58, 48, 66, 52, 70, 43, 61, 50, 68, 42, 60)(38, 56, 44, 62, 53, 71, 45, 63, 54, 72, 51, 69, 41, 59, 49, 67, 46, 64)
	L = (1, 40)(2, 45)(3, 48)(4, 43)(5, 38)(6, 47)(7, 37)(8, 54)(9, 41)(10, 53)(11, 52)(12, 50)(13, 44)(14, 39)(15, 46)(16, 42)(17, 51)(18, 49)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E11.79
Graph:: bipartite
	v = 5 e = 36 f = 11
	degree seq :: [ 12^3, 18^2 ]

E11.78 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y3^-1, (Y2, Y1^-1), Y2^3 * Y3, (R * Y3)^2, (Y2^-1 * R)^2, (Y2, Y1^-1), (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 4, 22, 9, 27, 7, 25, 5, 23)(3, 21, 8, 26, 12, 30, 17, 35, 14, 32, 13, 31)(6, 24, 10, 28, 15, 33, 18, 36, 11, 29, 16, 34)(37, 55, 39, 57, 47, 65, 43, 61, 50, 68, 51, 69, 40, 58, 48, 66, 42, 60)(38, 56, 44, 62, 52, 70, 41, 59, 49, 67, 54, 72, 45, 63, 53, 71, 46, 64)
	L = (1, 40)(2, 45)(3, 48)(4, 43)(5, 38)(6, 51)(7, 37)(8, 53)(9, 41)(10, 54)(11, 42)(12, 50)(13, 44)(14, 39)(15, 47)(16, 46)(17, 49)(18, 52)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E11.80
Graph:: bipartite
	v = 5 e = 36 f = 11
	degree seq :: [ 12^3, 18^2 ]

E11.79 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, Y3^-1 * Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^9 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 4, 22, 9, 27, 14, 32, 6, 24, 10, 28, 5, 23)(3, 21, 8, 26, 15, 33, 11, 29, 16, 34, 18, 36, 13, 31, 17, 35, 12, 30)(37, 55, 39, 57)(38, 56, 44, 62)(40, 58, 47, 65)(41, 59, 48, 66)(42, 60, 49, 67)(43, 61, 51, 69)(45, 63, 52, 70)(46, 64, 53, 71)(50, 68, 54, 72)
	L = (1, 40)(2, 45)(3, 47)(4, 42)(5, 43)(6, 37)(7, 50)(8, 52)(9, 46)(10, 38)(11, 49)(12, 51)(13, 39)(14, 41)(15, 54)(16, 53)(17, 44)(18, 48)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E11.77
Graph:: bipartite
	v = 11 e = 36 f = 5
	degree seq :: [ 4^9, 18^2 ]

E11.80 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, Y1^-3 * Y3^-1, (Y1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 6, 24, 10, 28, 14, 32, 4, 22, 9, 27, 5, 23)(3, 21, 8, 26, 15, 33, 13, 31, 17, 35, 18, 36, 11, 29, 16, 34, 12, 30)(37, 55, 39, 57)(38, 56, 44, 62)(40, 58, 47, 65)(41, 59, 48, 66)(42, 60, 49, 67)(43, 61, 51, 69)(45, 63, 52, 70)(46, 64, 53, 71)(50, 68, 54, 72)
	L = (1, 40)(2, 45)(3, 47)(4, 42)(5, 50)(6, 37)(7, 41)(8, 52)(9, 46)(10, 38)(11, 49)(12, 54)(13, 39)(14, 43)(15, 48)(16, 53)(17, 44)(18, 51)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E11.78
Graph:: bipartite
	v = 11 e = 36 f = 5
	degree seq :: [ 4^9, 18^2 ]

E11.81 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^4 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 14, 32, 6, 24, 3, 21, 9, 27, 13, 31, 5, 23)(4, 22, 10, 28, 17, 35, 16, 34, 12, 30, 11, 29, 18, 36, 15, 33, 7, 25)(37, 55, 39, 57, 38, 56, 45, 63, 44, 62, 49, 67, 50, 68, 41, 59, 42, 60)(40, 58, 47, 65, 46, 64, 54, 72, 53, 71, 51, 69, 52, 70, 43, 61, 48, 66)
	L = (1, 40)(2, 46)(3, 47)(4, 38)(5, 43)(6, 48)(7, 37)(8, 53)(9, 54)(10, 44)(11, 45)(12, 39)(13, 51)(14, 52)(15, 41)(16, 42)(17, 50)(18, 49)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.76
Graph:: bipartite
	v = 4 e = 36 f = 12
	degree seq :: [ 18^4 ]

E11.82 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1^2 * Y3^2, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^2 * Y3^-1, Y2^4, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 6, 26, 5, 25)(2, 22, 7, 27, 4, 24, 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, 42, 46, 44)(43, 49, 45, 50)(47, 51, 48, 52)(53, 57, 54, 58)(55, 59, 56, 60)(61, 62, 66, 64)(63, 69, 65, 70)(67, 71, 68, 72)(73, 77, 74, 78)(75, 79, 76, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.84
Graph:: bipartite
	v = 15 e = 40 f = 5
	degree seq :: [ 4^10, 8^5 ]

E11.83 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^4, Y1^-2 * Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-2 * Y3^-1, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 6, 26, 5, 25)(2, 22, 7, 27, 4, 24, 8, 28)(9, 29, 13, 33, 10, 30, 14, 34)(11, 31, 15, 35, 12, 32, 16, 36)(17, 37, 20, 40, 18, 38, 19, 39)(41, 42, 46, 44)(43, 49, 45, 50)(47, 51, 48, 52)(53, 57, 54, 58)(55, 59, 56, 60)(61, 62, 66, 64)(63, 69, 65, 70)(67, 71, 68, 72)(73, 77, 74, 78)(75, 79, 76, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.85
Graph:: bipartite
	v = 15 e = 40 f = 5
	degree seq :: [ 4^10, 8^5 ]

E11.84 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1^2 * Y3^2, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^2 * Y3^-1, Y2^4, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 41, 61, 3, 23, 43, 63, 6, 26, 46, 66, 5, 25, 45, 65)(2, 22, 42, 62, 7, 27, 47, 67, 4, 24, 44, 64, 8, 28, 48, 68)(9, 29, 49, 69, 13, 33, 53, 73, 10, 30, 50, 70, 14, 34, 54, 74)(11, 31, 51, 71, 15, 35, 55, 75, 12, 32, 52, 72, 16, 36, 56, 76)(17, 37, 57, 77, 19, 39, 59, 79, 18, 38, 58, 78, 20, 40, 60, 80)
	L = (1, 22)(2, 26)(3, 29)(4, 21)(5, 30)(6, 24)(7, 31)(8, 32)(9, 25)(10, 23)(11, 28)(12, 27)(13, 37)(14, 38)(15, 39)(16, 40)(17, 34)(18, 33)(19, 36)(20, 35)(41, 62)(42, 66)(43, 69)(44, 61)(45, 70)(46, 64)(47, 71)(48, 72)(49, 65)(50, 63)(51, 68)(52, 67)(53, 77)(54, 78)(55, 79)(56, 80)(57, 74)(58, 73)(59, 76)(60, 75)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.82
Transitivity :: VT+
Graph::
	v = 5 e = 40 f = 15
	degree seq :: [ 16^5 ]

E11.85 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^4, Y1^-2 * Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-2 * Y3^-1, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 41, 61, 3, 23, 43, 63, 6, 26, 46, 66, 5, 25, 45, 65)(2, 22, 42, 62, 7, 27, 47, 67, 4, 24, 44, 64, 8, 28, 48, 68)(9, 29, 49, 69, 13, 33, 53, 73, 10, 30, 50, 70, 14, 34, 54, 74)(11, 31, 51, 71, 15, 35, 55, 75, 12, 32, 52, 72, 16, 36, 56, 76)(17, 37, 57, 77, 20, 40, 60, 80, 18, 38, 58, 78, 19, 39, 59, 79)
	L = (1, 22)(2, 26)(3, 29)(4, 21)(5, 30)(6, 24)(7, 31)(8, 32)(9, 25)(10, 23)(11, 28)(12, 27)(13, 37)(14, 38)(15, 39)(16, 40)(17, 34)(18, 33)(19, 36)(20, 35)(41, 62)(42, 66)(43, 69)(44, 61)(45, 70)(46, 64)(47, 71)(48, 72)(49, 65)(50, 63)(51, 68)(52, 67)(53, 77)(54, 78)(55, 79)(56, 80)(57, 74)(58, 73)(59, 76)(60, 75)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.83
Transitivity :: VT+
Graph::
	v = 5 e = 40 f = 15
	degree seq :: [ 16^5 ]

E11.86 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 3>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y3, Y1^-1), (Y2 * Y1^-1)^2, R * Y1 * R * Y2, R * Y3 * R * Y3^-1, Y2^4, Y1^4, Y2 * Y1 * Y2^-2 * Y1^-2, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 4, 24)(3, 23, 9, 29, 18, 38, 8, 28)(5, 25, 11, 31, 17, 37, 13, 33)(7, 27, 16, 36, 20, 40, 15, 35)(10, 30, 19, 39, 12, 32, 14, 34)(41, 61, 43, 63, 50, 70, 45, 65)(42, 62, 47, 67, 57, 77, 48, 68)(44, 64, 51, 71, 56, 76, 52, 72)(46, 66, 54, 74, 49, 69, 55, 75)(53, 73, 59, 79, 60, 80, 58, 78)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.87 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 3>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 4
Presentation :: [ Y3^2, Y1 * Y2^-1 * Y3, Y3 * R^2, (Y2 * R)^2, Y1^4, Y2^4, Y2 * Y1 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 21, 2, 22, 7, 27, 5, 25)(3, 23, 10, 30, 13, 33, 4, 24)(6, 26, 15, 35, 14, 34, 17, 37)(8, 28, 18, 38, 19, 39, 9, 29)(11, 31, 20, 40, 16, 36, 12, 32)(41, 61, 43, 63, 51, 71, 46, 66)(42, 62, 48, 68, 54, 74, 44, 64)(45, 65, 55, 75, 58, 78, 56, 76)(47, 67, 52, 72, 50, 70, 49, 69)(53, 73, 57, 77, 60, 80, 59, 79)
	L = (1, 44)(2, 49)(3, 52)(4, 41)(5, 46)(6, 45)(7, 56)(8, 55)(9, 42)(10, 59)(11, 57)(12, 43)(13, 54)(14, 53)(15, 48)(16, 47)(17, 51)(18, 60)(19, 50)(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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.88 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, (Y2^-1, Y3^-1), (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y2)^2, Y3^3 * Y2^-1 * Y3^2, Y2^-1 * Y3^-3 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 5, 25)(4, 24, 7, 27)(6, 26, 8, 28)(9, 29, 12, 32)(10, 30, 13, 33)(11, 31, 15, 35)(14, 34, 16, 36)(17, 37, 19, 39)(18, 38, 20, 40)(41, 61, 43, 63, 42, 62, 45, 65)(44, 64, 49, 69, 47, 67, 52, 72)(46, 66, 50, 70, 48, 68, 53, 73)(51, 71, 57, 77, 55, 75, 59, 79)(54, 74, 58, 78, 56, 76, 60, 80)
	L = (1, 44)(2, 47)(3, 49)(4, 51)(5, 52)(6, 41)(7, 55)(8, 42)(9, 57)(10, 43)(11, 58)(12, 59)(13, 45)(14, 46)(15, 60)(16, 48)(17, 56)(18, 50)(19, 54)(20, 53)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E11.91
Graph:: bipartite
	v = 15 e = 40 f = 5
	degree seq :: [ 4^10, 8^5 ]

E11.89 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2^-1 * R)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y1, Y2^-1), Y2^5, Y3^20 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 4, 24)(3, 23, 7, 27, 13, 33, 10, 30)(5, 25, 8, 28, 14, 34, 11, 31)(9, 29, 15, 35, 19, 39, 17, 37)(12, 32, 16, 36, 20, 40, 18, 38)(41, 61, 43, 63, 49, 69, 52, 72, 45, 65)(42, 62, 47, 67, 55, 75, 56, 76, 48, 68)(44, 64, 50, 70, 57, 77, 58, 78, 51, 71)(46, 66, 53, 73, 59, 79, 60, 80, 54, 74)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 44)(7, 53)(8, 54)(9, 55)(10, 43)(11, 45)(12, 56)(13, 50)(14, 51)(15, 59)(16, 60)(17, 49)(18, 52)(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) :: { ( 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E11.90
Graph:: bipartite
	v = 9 e = 40 f = 11
	degree seq :: [ 8^5, 10^4 ]

E11.90 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y3^-2, Y1 * Y2 * Y1^-1 * Y2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1^-5, Y1^3 * Y3^-1 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 15, 35, 14, 34, 6, 26, 10, 30, 18, 38, 19, 39, 11, 31, 3, 23, 8, 28, 16, 36, 20, 40, 12, 32, 4, 24, 9, 29, 17, 37, 13, 33, 5, 25)(41, 61, 43, 63)(42, 62, 48, 68)(44, 64, 46, 66)(45, 65, 51, 71)(47, 67, 56, 76)(49, 69, 50, 70)(52, 72, 54, 74)(53, 73, 59, 79)(55, 75, 60, 80)(57, 77, 58, 78)
	L = (1, 44)(2, 49)(3, 46)(4, 43)(5, 52)(6, 41)(7, 57)(8, 50)(9, 48)(10, 42)(11, 54)(12, 51)(13, 60)(14, 45)(15, 53)(16, 58)(17, 56)(18, 47)(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) :: { ( 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E11.89
Graph:: bipartite
	v = 11 e = 40 f = 9
	degree seq :: [ 4^10, 40 ]

E11.91 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y3 * Y1, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3^-1 * Y2^-1, Y2^-2 * Y3^2, Y3^-1 * Y2^-1 * Y1^3, Y1 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 14, 34, 5, 25)(3, 23, 9, 29, 7, 27, 12, 32, 15, 35)(4, 24, 10, 30, 6, 26, 11, 31, 17, 37)(13, 33, 19, 39, 16, 36, 20, 40, 18, 38)(41, 61, 43, 63, 53, 73, 51, 71, 42, 62, 49, 69, 59, 79, 57, 77, 48, 68, 47, 67, 56, 76, 44, 64, 54, 74, 52, 72, 60, 80, 50, 70, 45, 65, 55, 75, 58, 78, 46, 66)
	L = (1, 44)(2, 50)(3, 54)(4, 53)(5, 57)(6, 56)(7, 41)(8, 46)(9, 45)(10, 59)(11, 60)(12, 42)(13, 52)(14, 51)(15, 48)(16, 43)(17, 58)(18, 47)(19, 55)(20, 49)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E11.88
Graph:: bipartite
	v = 5 e = 40 f = 15
	degree seq :: [ 10^4, 40 ]

E11.92 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^4 * Y2, Y1 * Y2^-2 * Y3^2, Y1 * Y2^2 * Y3^-2, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 7, 27)(4, 24, 8, 28)(5, 25, 9, 29)(6, 26, 10, 30)(11, 31, 14, 34)(12, 32, 19, 39)(13, 33, 15, 35)(16, 36, 18, 38)(17, 37, 20, 40)(41, 61, 43, 63, 51, 71, 56, 76, 45, 65)(42, 62, 47, 67, 54, 74, 58, 78, 49, 69)(44, 64, 52, 72, 60, 80, 50, 70, 55, 75)(46, 66, 53, 73, 48, 68, 59, 79, 57, 77)
	L = (1, 44)(2, 48)(3, 52)(4, 54)(5, 55)(6, 41)(7, 59)(8, 51)(9, 53)(10, 42)(11, 60)(12, 58)(13, 43)(14, 57)(15, 47)(16, 50)(17, 45)(18, 46)(19, 56)(20, 49)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E11.93
Graph:: simple bipartite
	v = 14 e = 40 f = 6
	degree seq :: [ 4^10, 10^4 ]

E11.93 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, Y1^4, (Y3^-1, Y2^-1), (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^5, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 4, 24)(3, 23, 7, 27, 13, 33, 10, 30)(5, 25, 8, 28, 14, 34, 11, 31)(9, 29, 15, 35, 19, 39, 17, 37)(12, 32, 16, 36, 20, 40, 18, 38)(41, 61, 43, 63, 49, 69, 56, 76, 48, 68, 42, 62, 47, 67, 55, 75, 60, 80, 54, 74, 46, 66, 53, 73, 59, 79, 58, 78, 51, 71, 44, 64, 50, 70, 57, 77, 52, 72, 45, 65)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 44)(7, 53)(8, 54)(9, 55)(10, 43)(11, 45)(12, 56)(13, 50)(14, 51)(15, 59)(16, 60)(17, 49)(18, 52)(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) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E11.92
Graph:: bipartite
	v = 6 e = 40 f = 14
	degree seq :: [ 8^5, 40 ]

E11.94 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^11 * Y1, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 23, 2, 24)(3, 25, 5, 27)(4, 26, 6, 28)(7, 29, 9, 31)(8, 30, 10, 32)(11, 33, 13, 35)(12, 34, 14, 36)(15, 37, 17, 39)(16, 38, 18, 40)(19, 41, 21, 43)(20, 42, 22, 44)(45, 67, 47, 69, 51, 73, 55, 77, 59, 81, 63, 85, 66, 88, 62, 84, 58, 80, 54, 76, 50, 72, 46, 68, 49, 71, 53, 75, 57, 79, 61, 83, 65, 87, 64, 86, 60, 82, 56, 78, 52, 74, 48, 70)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 44 f = 12
	degree seq :: [ 4^11, 44 ]

E11.95 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 23, 23})
Quotient :: edge
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T1)^2, (F * T2)^2, T1 * T2^11, (T2^-1 * T1^-1)^23 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 20, 16, 12, 8, 4, 2, 6, 10, 14, 18, 22, 21, 17, 13, 9, 5)(24, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 44, 43, 40, 39, 36, 35, 32, 31, 28, 27)
	L = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.108
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.96 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 23, 23})
Quotient :: edge
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T1)^2, (F * T2)^2, T1 * T2^-11 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 22, 18, 14, 10, 6, 2, 4, 8, 12, 16, 20, 23, 21, 17, 13, 9, 5)(24, 25, 28, 29, 32, 33, 36, 37, 40, 41, 44, 45, 46, 42, 43, 38, 39, 34, 35, 30, 31, 26, 27)
	L = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.105
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.97 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 23, 23})
Quotient :: edge
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2^7, (T1^-1 * T2^-1)^23 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 20, 14, 8, 2, 7, 13, 19, 22, 16, 10, 4, 6, 12, 18, 23, 17, 11, 5)(24, 25, 29, 26, 30, 35, 32, 36, 41, 38, 42, 46, 44, 45, 40, 43, 39, 34, 37, 33, 28, 31, 27)
	L = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.110
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.98 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 23, 23})
Quotient :: edge
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-1 * T1^-1, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-7 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 18, 12, 6, 4, 10, 16, 22, 20, 14, 8, 2, 7, 13, 19, 23, 17, 11, 5)(24, 25, 29, 28, 31, 35, 34, 37, 41, 40, 43, 44, 46, 45, 38, 42, 39, 32, 36, 33, 26, 30, 27)
	L = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.106
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.99 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 23, 23})
Quotient :: edge
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^2 * T2^-1 * T1^2, T2^5 * T1^-1 * T2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-3 * T1^-1, T2 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^4 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 16, 8, 2, 7, 15, 23, 19, 11, 6, 14, 22, 20, 12, 4, 10, 18, 21, 13, 5)(24, 25, 29, 33, 26, 30, 37, 41, 32, 38, 45, 44, 40, 46, 43, 36, 39, 42, 35, 28, 31, 34, 27)
	L = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.111
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.100 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 23, 23})
Quotient :: edge
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T1^-2 * T2^-1 * T1^-2, T2^6 * T1, T1 * T2^-2 * T1^2 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 20, 12, 4, 10, 18, 22, 14, 6, 11, 19, 23, 16, 8, 2, 7, 15, 21, 13, 5)(24, 25, 29, 35, 28, 31, 37, 43, 36, 39, 45, 40, 44, 46, 41, 32, 38, 42, 33, 26, 30, 34, 27)
	L = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.107
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.101 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 23, 23})
Quotient :: edge
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-3 * T2 * T1^-2, T1^2 * T2 * T1 * T2^3, T2^-2 * T1 * T2^-3 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 22, 12, 4, 10, 20, 18, 8, 2, 7, 17, 21, 11, 14, 23, 13, 5)(24, 25, 29, 37, 33, 26, 30, 38, 46, 43, 32, 40, 45, 36, 41, 42, 44, 35, 28, 31, 39, 34, 27)
	L = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.113
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.102 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 23, 23})
Quotient :: edge
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1^-2 * T2 * T1, T1^-1 * T2^-1 * T1^-4, T2 * T1^-3 * T2^3, T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 11, 21, 18, 8, 2, 7, 17, 22, 12, 4, 10, 20, 16, 6, 15, 23, 13, 5)(24, 25, 29, 37, 35, 28, 31, 39, 42, 45, 36, 41, 43, 32, 40, 46, 44, 33, 26, 30, 38, 34, 27)
	L = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.109
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.103 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 23, 23})
Quotient :: edge
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2 * T1 * T2^2, T1^-1 * T2 * T1^-6, T1^-1 * T2^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 21, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 20, 22, 15, 6, 13, 5)(24, 25, 29, 37, 43, 41, 33, 26, 30, 36, 39, 45, 46, 40, 32, 35, 28, 31, 38, 44, 42, 34, 27)
	L = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.114
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.104 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 23, 23})
Quotient :: edge
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-1 * T1 * T2^-2 * T1, T1^-2 * T2^-1 * T1^-5, (T1^-1 * T2^-1)^23 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 21, 23, 18, 11, 13, 5)(24, 25, 29, 37, 43, 41, 35, 28, 31, 32, 39, 45, 46, 42, 36, 33, 26, 30, 38, 44, 40, 34, 27)
	L = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.112
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.105 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 23, 23})
Quotient :: loop
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1, (F * T2)^2, (F * T1)^2, T1^23, T2^23, (T2^-1 * T1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 4, 27, 6, 29, 8, 31, 10, 33, 12, 35, 14, 37, 16, 39, 18, 41, 20, 43, 22, 45, 23, 46, 21, 44, 19, 42, 17, 40, 15, 38, 13, 36, 11, 34, 9, 32, 7, 30, 5, 28, 3, 26)
	L = (1, 25)(2, 27)(3, 24)(4, 29)(5, 26)(6, 31)(7, 28)(8, 33)(9, 30)(10, 35)(11, 32)(12, 37)(13, 34)(14, 39)(15, 36)(16, 41)(17, 38)(18, 43)(19, 40)(20, 45)(21, 42)(22, 46)(23, 44)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.96
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.106 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 23, 23})
Quotient :: loop
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T1)^2, (F * T2)^2, T1 * T2^11, (T2^-1 * T1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 3, 26, 7, 30, 11, 34, 15, 38, 19, 42, 23, 46, 20, 43, 16, 39, 12, 35, 8, 31, 4, 27, 2, 25, 6, 29, 10, 33, 14, 37, 18, 41, 22, 45, 21, 44, 17, 40, 13, 36, 9, 32, 5, 28)
	L = (1, 25)(2, 26)(3, 29)(4, 24)(5, 27)(6, 30)(7, 33)(8, 28)(9, 31)(10, 34)(11, 37)(12, 32)(13, 35)(14, 38)(15, 41)(16, 36)(17, 39)(18, 42)(19, 45)(20, 40)(21, 43)(22, 46)(23, 44)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.98
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.107 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 23, 23})
Quotient :: loop
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2^7, (T1^-1 * T2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 3, 26, 9, 32, 15, 38, 21, 44, 20, 43, 14, 37, 8, 31, 2, 25, 7, 30, 13, 36, 19, 42, 22, 45, 16, 39, 10, 33, 4, 27, 6, 29, 12, 35, 18, 41, 23, 46, 17, 40, 11, 34, 5, 28)
	L = (1, 25)(2, 29)(3, 30)(4, 24)(5, 31)(6, 26)(7, 35)(8, 27)(9, 36)(10, 28)(11, 37)(12, 32)(13, 41)(14, 33)(15, 42)(16, 34)(17, 43)(18, 38)(19, 46)(20, 39)(21, 45)(22, 40)(23, 44)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.100
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.108 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 23, 23})
Quotient :: loop
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-1 * T1^-1, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-7 ]
Map:: non-degenerate
	R = (1, 24, 3, 26, 9, 32, 15, 38, 21, 44, 18, 41, 12, 35, 6, 29, 4, 27, 10, 33, 16, 39, 22, 45, 20, 43, 14, 37, 8, 31, 2, 25, 7, 30, 13, 36, 19, 42, 23, 46, 17, 40, 11, 34, 5, 28)
	L = (1, 25)(2, 29)(3, 30)(4, 24)(5, 31)(6, 28)(7, 27)(8, 35)(9, 36)(10, 26)(11, 37)(12, 34)(13, 33)(14, 41)(15, 42)(16, 32)(17, 43)(18, 40)(19, 39)(20, 44)(21, 46)(22, 38)(23, 45)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.95
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.109 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 23, 23})
Quotient :: loop
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^2 * T2^-1 * T1^2, T2^5 * T1^-1 * T2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-3 * T1^-1, T2 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^4 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 24, 3, 26, 9, 32, 17, 40, 16, 39, 8, 31, 2, 25, 7, 30, 15, 38, 23, 46, 19, 42, 11, 34, 6, 29, 14, 37, 22, 45, 20, 43, 12, 35, 4, 27, 10, 33, 18, 41, 21, 44, 13, 36, 5, 28)
	L = (1, 25)(2, 29)(3, 30)(4, 24)(5, 31)(6, 33)(7, 37)(8, 34)(9, 38)(10, 26)(11, 27)(12, 28)(13, 39)(14, 41)(15, 45)(16, 42)(17, 46)(18, 32)(19, 35)(20, 36)(21, 40)(22, 44)(23, 43)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.102
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.110 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 23, 23})
Quotient :: loop
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T1^-2 * T2^-1 * T1^-2, T2^6 * T1, T1 * T2^-2 * T1^2 * T2^-3 ]
Map:: non-degenerate
	R = (1, 24, 3, 26, 9, 32, 17, 40, 20, 43, 12, 35, 4, 27, 10, 33, 18, 41, 22, 45, 14, 37, 6, 29, 11, 34, 19, 42, 23, 46, 16, 39, 8, 31, 2, 25, 7, 30, 15, 38, 21, 44, 13, 36, 5, 28)
	L = (1, 25)(2, 29)(3, 30)(4, 24)(5, 31)(6, 35)(7, 34)(8, 37)(9, 38)(10, 26)(11, 27)(12, 28)(13, 39)(14, 43)(15, 42)(16, 45)(17, 44)(18, 32)(19, 33)(20, 36)(21, 46)(22, 40)(23, 41)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.97
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.111 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 23, 23})
Quotient :: loop
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1^-2 * T2 * T1, T1^-1 * T2^-1 * T1^-4, T2 * T1^-3 * T2^3, T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-2 ]
Map:: non-degenerate
	R = (1, 24, 3, 26, 9, 32, 19, 42, 14, 37, 11, 34, 21, 44, 18, 41, 8, 31, 2, 25, 7, 30, 17, 40, 22, 45, 12, 35, 4, 27, 10, 33, 20, 43, 16, 39, 6, 29, 15, 38, 23, 46, 13, 36, 5, 28)
	L = (1, 25)(2, 29)(3, 30)(4, 24)(5, 31)(6, 37)(7, 38)(8, 39)(9, 40)(10, 26)(11, 27)(12, 28)(13, 41)(14, 35)(15, 34)(16, 42)(17, 46)(18, 43)(19, 45)(20, 32)(21, 33)(22, 36)(23, 44)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.99
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.112 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 23, 23})
Quotient :: loop
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^3 * T1^-1 * T2, T1^4 * T2^-1 * T1^2, (T1^-1 * T2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 3, 26, 9, 32, 8, 31, 2, 25, 7, 30, 17, 40, 16, 39, 6, 29, 15, 38, 23, 46, 19, 42, 14, 37, 22, 45, 20, 43, 11, 34, 18, 41, 21, 44, 12, 35, 4, 27, 10, 33, 13, 36, 5, 28)
	L = (1, 25)(2, 29)(3, 30)(4, 24)(5, 31)(6, 37)(7, 38)(8, 39)(9, 40)(10, 26)(11, 27)(12, 28)(13, 32)(14, 41)(15, 45)(16, 42)(17, 46)(18, 33)(19, 34)(20, 35)(21, 36)(22, 44)(23, 43)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.104
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.113 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 23, 23})
Quotient :: loop
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^-2, T1^-5 * T2^-1 * T1^-1, T1 * T2^-2 * T1^3 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 24, 3, 26, 9, 32, 12, 35, 4, 27, 10, 33, 18, 41, 21, 44, 11, 34, 19, 42, 22, 45, 14, 37, 20, 43, 23, 46, 16, 39, 6, 29, 15, 38, 17, 40, 8, 31, 2, 25, 7, 30, 13, 36, 5, 28)
	L = (1, 25)(2, 29)(3, 30)(4, 24)(5, 31)(6, 37)(7, 38)(8, 39)(9, 36)(10, 26)(11, 27)(12, 28)(13, 40)(14, 44)(15, 43)(16, 45)(17, 46)(18, 32)(19, 33)(20, 34)(21, 35)(22, 41)(23, 42)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.101
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.114 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 23, 23})
Quotient :: loop
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^-7 ]
Map:: non-degenerate
	R = (1, 24, 3, 26, 9, 32, 4, 27, 10, 33, 15, 38, 11, 34, 16, 39, 21, 44, 17, 40, 22, 45, 18, 41, 23, 46, 20, 43, 12, 35, 19, 42, 14, 37, 6, 29, 13, 36, 8, 31, 2, 25, 7, 30, 5, 28)
	L = (1, 25)(2, 29)(3, 30)(4, 24)(5, 31)(6, 35)(7, 36)(8, 37)(9, 28)(10, 26)(11, 27)(12, 41)(13, 42)(14, 43)(15, 32)(16, 33)(17, 34)(18, 44)(19, 46)(20, 45)(21, 38)(22, 39)(23, 40)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.103
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^11 * Y2, Y2 * Y1^-11 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 10, 33, 14, 37, 18, 41, 22, 45, 20, 43, 16, 39, 12, 35, 8, 31, 3, 26, 5, 28, 7, 30, 11, 34, 15, 38, 19, 42, 23, 46, 21, 44, 17, 40, 13, 36, 9, 32, 4, 27)(47, 70, 49, 72, 50, 73, 54, 77, 55, 78, 58, 81, 59, 82, 62, 85, 63, 86, 66, 89, 67, 90, 68, 91, 69, 92, 64, 87, 65, 88, 60, 83, 61, 84, 56, 79, 57, 80, 52, 75, 53, 76, 48, 71, 51, 74)
	L = (1, 50)(2, 47)(3, 54)(4, 55)(5, 49)(6, 48)(7, 51)(8, 58)(9, 59)(10, 52)(11, 53)(12, 62)(13, 63)(14, 56)(15, 57)(16, 66)(17, 67)(18, 60)(19, 61)(20, 68)(21, 69)(22, 64)(23, 65)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.125
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y2^-2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), Y3^5 * Y2^-1 * Y3 * Y1^-5, Y2 * Y1^11, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 10, 33, 14, 37, 18, 41, 22, 45, 21, 44, 17, 40, 13, 36, 9, 32, 5, 28, 3, 26, 7, 30, 11, 34, 15, 38, 19, 42, 23, 46, 20, 43, 16, 39, 12, 35, 8, 31, 4, 27)(47, 70, 49, 72, 48, 71, 53, 76, 52, 75, 57, 80, 56, 79, 61, 84, 60, 83, 65, 88, 64, 87, 69, 92, 68, 91, 66, 89, 67, 90, 62, 85, 63, 86, 58, 81, 59, 82, 54, 77, 55, 78, 50, 73, 51, 74)
	L = (1, 50)(2, 47)(3, 51)(4, 54)(5, 55)(6, 48)(7, 49)(8, 58)(9, 59)(10, 52)(11, 53)(12, 62)(13, 63)(14, 56)(15, 57)(16, 66)(17, 67)(18, 60)(19, 61)(20, 69)(21, 68)(22, 64)(23, 65)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.131
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^-2 * Y1^-1 * Y2^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2^-1), Y3^-4 * Y1^-4, Y1^-1 * Y2^-1 * Y1^-7, Y2 * Y3 * Y2 * Y3^2 * Y2^2 * Y3^2 * Y2 * Y3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 12, 35, 18, 41, 21, 44, 15, 38, 9, 32, 5, 28, 8, 31, 14, 37, 20, 43, 22, 45, 16, 39, 10, 33, 3, 26, 7, 30, 13, 36, 19, 42, 23, 46, 17, 40, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 50, 73, 56, 79, 61, 84, 57, 80, 62, 85, 67, 90, 63, 86, 68, 91, 64, 87, 69, 92, 66, 89, 58, 81, 65, 88, 60, 83, 52, 75, 59, 82, 54, 77, 48, 71, 53, 76, 51, 74)
	L = (1, 50)(2, 47)(3, 56)(4, 57)(5, 55)(6, 48)(7, 49)(8, 51)(9, 61)(10, 62)(11, 63)(12, 52)(13, 53)(14, 54)(15, 67)(16, 68)(17, 69)(18, 58)(19, 59)(20, 60)(21, 64)(22, 66)(23, 65)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.134
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y2^-3, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y1^2 * Y2^-1 * Y1^2 * Y3^-4, Y3^-1 * Y2^-1 * Y1^7, Y3^2 * Y2^-2 * Y3^3 * Y2 * Y3^2 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 12, 35, 18, 41, 21, 44, 15, 38, 9, 32, 3, 26, 7, 30, 13, 36, 19, 42, 23, 46, 17, 40, 11, 34, 5, 28, 8, 31, 14, 37, 20, 43, 22, 45, 16, 39, 10, 33, 4, 27)(47, 70, 49, 72, 54, 77, 48, 71, 53, 76, 60, 83, 52, 75, 59, 82, 66, 89, 58, 81, 65, 88, 68, 91, 64, 87, 69, 92, 62, 85, 67, 90, 63, 86, 56, 79, 61, 84, 57, 80, 50, 73, 55, 78, 51, 74)
	L = (1, 50)(2, 47)(3, 55)(4, 56)(5, 57)(6, 48)(7, 49)(8, 51)(9, 61)(10, 62)(11, 63)(12, 52)(13, 53)(14, 54)(15, 67)(16, 68)(17, 69)(18, 58)(19, 59)(20, 60)(21, 64)(22, 66)(23, 65)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.129
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, Y2^2 * Y3^-1 * Y2^2, Y1^3 * Y2 * Y1 * Y3^-2, Y3^5 * Y2^-1 * Y3, Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-3 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 14, 37, 21, 44, 12, 35, 5, 28, 8, 31, 16, 39, 22, 45, 18, 41, 9, 32, 13, 36, 17, 40, 23, 46, 19, 42, 10, 33, 3, 26, 7, 30, 15, 38, 20, 43, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 58, 81, 50, 73, 56, 79, 64, 87, 67, 90, 57, 80, 65, 88, 68, 91, 60, 83, 66, 89, 69, 92, 62, 85, 52, 75, 61, 84, 63, 86, 54, 77, 48, 71, 53, 76, 59, 82, 51, 74)
	L = (1, 50)(2, 47)(3, 56)(4, 57)(5, 58)(6, 48)(7, 49)(8, 51)(9, 64)(10, 65)(11, 66)(12, 67)(13, 55)(14, 52)(15, 53)(16, 54)(17, 59)(18, 68)(19, 69)(20, 61)(21, 60)(22, 62)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.132
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3 * Y2^4, Y1^3 * Y3^3, Y3^-4 * Y2^-1 * Y3^-2, Y1^4 * Y2^-1 * Y3^-2, Y2 * Y1 * Y3^-2 * Y2 * Y3^-2 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 14, 37, 18, 41, 10, 33, 3, 26, 7, 30, 15, 38, 22, 45, 21, 44, 13, 36, 9, 32, 17, 40, 23, 46, 20, 43, 12, 35, 5, 28, 8, 31, 16, 39, 19, 42, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 54, 77, 48, 71, 53, 76, 63, 86, 62, 85, 52, 75, 61, 84, 69, 92, 65, 88, 60, 83, 68, 91, 66, 89, 57, 80, 64, 87, 67, 90, 58, 81, 50, 73, 56, 79, 59, 82, 51, 74)
	L = (1, 50)(2, 47)(3, 56)(4, 57)(5, 58)(6, 48)(7, 49)(8, 51)(9, 59)(10, 64)(11, 65)(12, 66)(13, 67)(14, 52)(15, 53)(16, 54)(17, 55)(18, 60)(19, 62)(20, 69)(21, 68)(22, 61)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.133
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (Y3^-1, Y2^-1), Y2^-1 * Y3 * Y2^-4, Y2^2 * Y1^-2 * Y2 * Y3^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2 * Y1^2 * Y2 * Y1 * Y3^-2, Y2^-2 * Y1^2 * Y3^-2 * Y2^-1, Y2^-1 * Y3^2 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^2 * Y3^2 * Y2^-1 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 14, 37, 19, 42, 13, 36, 18, 41, 21, 44, 10, 33, 3, 26, 7, 30, 15, 38, 23, 46, 12, 35, 5, 28, 8, 31, 16, 39, 20, 43, 9, 32, 17, 40, 22, 45, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 65, 88, 58, 81, 50, 73, 56, 79, 66, 89, 60, 83, 69, 92, 57, 80, 67, 90, 62, 85, 52, 75, 61, 84, 68, 91, 64, 87, 54, 77, 48, 71, 53, 76, 63, 86, 59, 82, 51, 74)
	L = (1, 50)(2, 47)(3, 56)(4, 57)(5, 58)(6, 48)(7, 49)(8, 51)(9, 66)(10, 67)(11, 68)(12, 69)(13, 65)(14, 52)(15, 53)(16, 54)(17, 55)(18, 59)(19, 60)(20, 62)(21, 64)(22, 63)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.130
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (Y3^-1, Y2^-1), Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y2^3 * Y1^-1 * Y2^2, Y2^2 * Y1^2 * Y3^-2 * Y2, Y2 * Y1^2 * Y2^2 * Y1 * Y3^-1, Y1 * Y2^3 * Y3^-3, Y1^2 * Y2^3 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^-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 * Y1^2 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 14, 37, 19, 42, 9, 32, 17, 40, 22, 45, 12, 35, 5, 28, 8, 31, 16, 39, 20, 43, 10, 33, 3, 26, 7, 30, 15, 38, 23, 46, 13, 36, 18, 41, 21, 44, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 64, 87, 54, 77, 48, 71, 53, 76, 63, 86, 67, 90, 62, 85, 52, 75, 61, 84, 68, 91, 57, 80, 66, 89, 60, 83, 69, 92, 58, 81, 50, 73, 56, 79, 65, 88, 59, 82, 51, 74)
	L = (1, 50)(2, 47)(3, 56)(4, 57)(5, 58)(6, 48)(7, 49)(8, 51)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 52)(15, 53)(16, 54)(17, 55)(18, 59)(19, 60)(20, 62)(21, 64)(22, 63)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.127
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2 * Y3^2, Y2^-1 * Y3 * Y2^-6, Y1^23, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 9, 32, 15, 38, 20, 43, 22, 45, 19, 42, 17, 40, 12, 35, 5, 28, 8, 31, 10, 33, 3, 26, 7, 30, 14, 37, 16, 39, 21, 44, 23, 46, 18, 41, 13, 36, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 62, 85, 68, 91, 64, 87, 58, 81, 50, 73, 56, 79, 52, 75, 60, 83, 66, 89, 69, 92, 63, 86, 57, 80, 54, 77, 48, 71, 53, 76, 61, 84, 67, 90, 65, 88, 59, 82, 51, 74)
	L = (1, 50)(2, 47)(3, 56)(4, 57)(5, 58)(6, 48)(7, 49)(8, 51)(9, 52)(10, 54)(11, 59)(12, 63)(13, 64)(14, 53)(15, 55)(16, 60)(17, 65)(18, 69)(19, 68)(20, 61)(21, 62)(22, 66)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.128
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y1 * Y2 * Y1^2 * Y2, Y2 * Y1 * Y2^-1 * Y1^2 * Y2^2, Y2^6 * Y1^-1 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 13, 36, 15, 38, 20, 43, 22, 45, 16, 39, 18, 41, 10, 33, 3, 26, 7, 30, 12, 35, 5, 28, 8, 31, 14, 37, 19, 42, 21, 44, 23, 46, 17, 40, 9, 32, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 62, 85, 67, 90, 61, 84, 54, 77, 48, 71, 53, 76, 57, 80, 64, 87, 69, 92, 66, 89, 60, 83, 52, 75, 58, 81, 50, 73, 56, 79, 63, 86, 68, 91, 65, 88, 59, 82, 51, 74)
	L = (1, 50)(2, 47)(3, 56)(4, 57)(5, 58)(6, 48)(7, 49)(8, 51)(9, 63)(10, 64)(11, 55)(12, 53)(13, 52)(14, 54)(15, 59)(16, 68)(17, 69)(18, 62)(19, 60)(20, 61)(21, 65)(22, 66)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.126
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^23, (Y3 * Y2^-1)^23, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)(47, 70, 48, 71, 50, 73, 52, 75, 54, 77, 56, 79, 58, 81, 60, 83, 62, 85, 64, 87, 66, 89, 68, 91, 69, 92, 67, 90, 65, 88, 63, 86, 61, 84, 59, 82, 57, 80, 55, 78, 53, 76, 51, 74, 49, 72)
	L = (1, 49)(2, 47)(3, 51)(4, 48)(5, 53)(6, 50)(7, 55)(8, 52)(9, 57)(10, 54)(11, 59)(12, 56)(13, 61)(14, 58)(15, 63)(16, 60)(17, 65)(18, 62)(19, 67)(20, 64)(21, 69)(22, 66)(23, 68)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.115
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-11, (Y3 * Y2^-1)^23, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)(47, 70, 48, 71, 51, 74, 52, 75, 55, 78, 56, 79, 59, 82, 60, 83, 63, 86, 64, 87, 67, 90, 68, 91, 69, 92, 65, 88, 66, 89, 61, 84, 62, 85, 57, 80, 58, 81, 53, 76, 54, 77, 49, 72, 50, 73)
	L = (1, 49)(2, 50)(3, 53)(4, 54)(5, 47)(6, 48)(7, 57)(8, 58)(9, 51)(10, 52)(11, 61)(12, 62)(13, 55)(14, 56)(15, 65)(16, 66)(17, 59)(18, 60)(19, 68)(20, 69)(21, 63)(22, 64)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.124
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-3 * Y3^-1, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-7, (Y3^-1 * Y1^-1)^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)(47, 70, 48, 71, 52, 75, 51, 74, 54, 77, 58, 81, 57, 80, 60, 83, 64, 87, 63, 86, 66, 89, 67, 90, 69, 92, 68, 91, 61, 84, 65, 88, 62, 85, 55, 78, 59, 82, 56, 79, 49, 72, 53, 76, 50, 73)
	L = (1, 49)(2, 53)(3, 55)(4, 56)(5, 47)(6, 50)(7, 59)(8, 48)(9, 61)(10, 62)(11, 51)(12, 52)(13, 65)(14, 54)(15, 67)(16, 68)(17, 57)(18, 58)(19, 69)(20, 60)(21, 64)(22, 66)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.122
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2 * Y3 * Y2^3, Y3^-4 * Y2^-1 * Y3^-2, Y3^2 * Y2^-1 * Y3^3 * Y2^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^3, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)(47, 70, 48, 71, 52, 75, 58, 81, 51, 74, 54, 77, 60, 83, 66, 89, 59, 82, 62, 85, 68, 91, 63, 86, 67, 90, 69, 92, 64, 87, 55, 78, 61, 84, 65, 88, 56, 79, 49, 72, 53, 76, 57, 80, 50, 73)
	L = (1, 49)(2, 53)(3, 55)(4, 56)(5, 47)(6, 57)(7, 61)(8, 48)(9, 63)(10, 64)(11, 65)(12, 50)(13, 51)(14, 52)(15, 67)(16, 54)(17, 66)(18, 68)(19, 69)(20, 58)(21, 59)(22, 60)(23, 62)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.123
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y2^-2 * Y3^-1 * Y2^-3, Y3 * Y2^-3 * Y3^3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)(47, 70, 48, 71, 52, 75, 60, 83, 58, 81, 51, 74, 54, 77, 62, 85, 65, 88, 68, 91, 59, 82, 64, 87, 66, 89, 55, 78, 63, 86, 69, 92, 67, 90, 56, 79, 49, 72, 53, 76, 61, 84, 57, 80, 50, 73)
	L = (1, 49)(2, 53)(3, 55)(4, 56)(5, 47)(6, 61)(7, 63)(8, 48)(9, 65)(10, 66)(11, 67)(12, 50)(13, 51)(14, 57)(15, 69)(16, 52)(17, 68)(18, 54)(19, 60)(20, 62)(21, 64)(22, 58)(23, 59)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.118
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y3^-2 * Y2^-1 * Y3^-2, Y3 * Y2^-1 * Y3^2 * Y2 * Y3 * Y2, Y2 * Y3 * Y2^5, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)(47, 70, 48, 71, 52, 75, 60, 83, 67, 90, 58, 81, 51, 74, 54, 77, 62, 85, 68, 91, 64, 87, 55, 78, 59, 82, 63, 86, 69, 92, 65, 88, 56, 79, 49, 72, 53, 76, 61, 84, 66, 89, 57, 80, 50, 73)
	L = (1, 49)(2, 53)(3, 55)(4, 56)(5, 47)(6, 61)(7, 59)(8, 48)(9, 58)(10, 64)(11, 65)(12, 50)(13, 51)(14, 66)(15, 63)(16, 52)(17, 54)(18, 67)(19, 68)(20, 69)(21, 57)(22, 60)(23, 62)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.121
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-1 * Y2 * Y3^-2 * Y2, Y2^-2 * Y3^-1 * Y2^-5, Y2^-1 * Y3^-10, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)(47, 70, 48, 71, 52, 75, 60, 83, 66, 89, 64, 87, 58, 81, 51, 74, 54, 77, 55, 78, 62, 85, 68, 91, 69, 92, 65, 88, 59, 82, 56, 79, 49, 72, 53, 76, 61, 84, 67, 90, 63, 86, 57, 80, 50, 73)
	L = (1, 49)(2, 53)(3, 55)(4, 56)(5, 47)(6, 61)(7, 62)(8, 48)(9, 52)(10, 54)(11, 59)(12, 50)(13, 51)(14, 67)(15, 68)(16, 60)(17, 65)(18, 57)(19, 58)(20, 63)(21, 69)(22, 66)(23, 64)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.116
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-1 * Y3^-3, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, Y2^8 * Y3, (Y3 * Y2^-1)^23, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)(47, 70, 48, 71, 52, 75, 58, 81, 64, 87, 67, 90, 61, 84, 55, 78, 51, 74, 54, 77, 60, 83, 66, 89, 68, 91, 62, 85, 56, 79, 49, 72, 53, 76, 59, 82, 65, 88, 69, 92, 63, 86, 57, 80, 50, 73)
	L = (1, 49)(2, 53)(3, 55)(4, 56)(5, 47)(6, 59)(7, 51)(8, 48)(9, 50)(10, 61)(11, 62)(12, 65)(13, 54)(14, 52)(15, 57)(16, 67)(17, 68)(18, 69)(19, 60)(20, 58)(21, 63)(22, 64)(23, 66)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.119
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^-2 * Y3^-1 * Y2^2, Y3^3 * Y2^-1 * Y3^2, Y2^4 * Y3^3, Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)(47, 70, 48, 71, 52, 75, 60, 83, 65, 88, 55, 78, 63, 86, 68, 91, 58, 81, 51, 74, 54, 77, 62, 85, 66, 89, 56, 79, 49, 72, 53, 76, 61, 84, 69, 92, 59, 82, 64, 87, 67, 90, 57, 80, 50, 73)
	L = (1, 49)(2, 53)(3, 55)(4, 56)(5, 47)(6, 61)(7, 63)(8, 48)(9, 64)(10, 65)(11, 66)(12, 50)(13, 51)(14, 69)(15, 68)(16, 52)(17, 67)(18, 54)(19, 59)(20, 60)(21, 62)(22, 57)(23, 58)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.120
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 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, Y3^5 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)(47, 70, 48, 71, 52, 75, 55, 78, 61, 84, 66, 89, 68, 91, 65, 88, 63, 86, 58, 81, 51, 74, 54, 77, 56, 79, 49, 72, 53, 76, 60, 83, 62, 85, 67, 90, 69, 92, 64, 87, 59, 82, 57, 80, 50, 73)
	L = (1, 49)(2, 53)(3, 55)(4, 56)(5, 47)(6, 60)(7, 61)(8, 48)(9, 62)(10, 52)(11, 54)(12, 50)(13, 51)(14, 66)(15, 67)(16, 68)(17, 57)(18, 58)(19, 59)(20, 69)(21, 65)(22, 64)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.117
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 10, 34)(5, 29, 13, 37, 14, 38)(6, 30, 15, 39, 17, 41)(7, 31, 18, 42, 19, 43)(9, 33, 16, 40, 22, 46)(11, 35, 23, 47, 21, 45)(12, 36, 24, 48, 20, 44)(49, 73, 51, 75, 57, 81, 53, 77)(50, 74, 54, 78, 64, 88, 55, 79)(52, 76, 59, 83, 70, 94, 60, 84)(56, 80, 68, 92, 61, 85, 69, 93)(58, 82, 63, 87, 62, 86, 66, 90)(65, 89, 71, 95, 67, 91, 72, 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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 10, 34)(5, 29, 13, 37, 14, 38)(6, 30, 15, 39, 17, 41)(7, 31, 18, 42, 19, 43)(9, 33, 16, 40, 22, 46)(11, 35, 23, 47, 20, 44)(12, 36, 24, 48, 21, 45)(49, 73, 51, 75, 57, 81, 53, 77)(50, 74, 54, 78, 64, 88, 55, 79)(52, 76, 59, 83, 70, 94, 60, 84)(56, 80, 68, 92, 61, 85, 69, 93)(58, 82, 66, 90, 62, 86, 63, 87)(65, 89, 72, 96, 67, 91, 71, 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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.137 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1 * Y3^-1)^2, Y3^2 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^2, Y2 * Y3^2 * Y1, (Y3 * Y2^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 8, 32, 7, 31)(2, 26, 9, 33, 17, 41, 11, 35)(3, 27, 13, 37, 5, 29, 15, 39)(6, 30, 19, 43, 14, 38, 20, 44)(10, 34, 23, 47, 18, 42, 16, 40)(12, 36, 24, 48, 22, 46, 21, 45)(49, 50, 53)(51, 60, 62)(52, 64, 59)(54, 66, 56)(55, 63, 68)(57, 69, 61)(58, 70, 65)(67, 72, 71)(73, 75, 78)(74, 80, 82)(76, 81, 87)(77, 89, 84)(79, 91, 88)(83, 95, 93)(85, 96, 92)(86, 94, 90)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.141
Graph:: simple bipartite
	v = 22 e = 48 f = 6
	degree seq :: [ 3^16, 8^6 ]

E11.138 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1 * Y2 * Y3^-2, (Y1 * Y2)^2, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y3^2 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3 * Y1^-1 * Y2, (Y2^-1 * Y3^-1 * Y1^-1)^2, (Y2 * Y1^-1)^3, (Y3 * Y1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 8, 32, 7, 31)(2, 26, 9, 33, 19, 43, 11, 35)(3, 27, 13, 37, 5, 29, 15, 39)(6, 30, 17, 41, 14, 38, 16, 40)(10, 34, 18, 42, 20, 44, 21, 45)(12, 36, 22, 46, 23, 47, 24, 48)(49, 50, 53)(51, 60, 62)(52, 61, 65)(54, 68, 56)(55, 66, 57)(58, 71, 67)(59, 70, 63)(64, 72, 69)(73, 75, 78)(74, 80, 82)(76, 88, 90)(77, 91, 84)(79, 83, 85)(81, 93, 94)(86, 95, 92)(87, 96, 89)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.142
Graph:: simple bipartite
	v = 22 e = 48 f = 6
	degree seq :: [ 3^16, 8^6 ]

E11.139 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, (Y3^-1 * Y1^-1)^2, Y1^4, Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 5, 29)(2, 26, 7, 31, 8, 32)(4, 28, 11, 35, 9, 33)(6, 30, 13, 37, 14, 38)(10, 34, 18, 42, 12, 36)(15, 39, 22, 46, 16, 40)(17, 41, 19, 43, 23, 47)(20, 44, 24, 48, 21, 45)(49, 50, 54, 52)(51, 57, 65, 58)(53, 60, 63, 55)(56, 64, 68, 61)(59, 62, 69, 67)(66, 71, 72, 70)(73, 74, 78, 76)(75, 81, 89, 82)(77, 84, 87, 79)(80, 88, 92, 85)(83, 86, 93, 91)(90, 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) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E11.143
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.140 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^3, Y1^4, (R * Y3)^2, (Y1 * Y3^-1)^2, Y2^4, R * Y2 * R * Y1, Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 3, 27, 5, 29)(2, 26, 7, 31, 8, 32)(4, 28, 10, 34, 11, 35)(6, 30, 13, 37, 14, 38)(9, 33, 17, 41, 12, 36)(15, 39, 22, 46, 16, 40)(18, 42, 23, 47, 19, 43)(20, 44, 24, 48, 21, 45)(49, 50, 54, 52)(51, 57, 64, 56)(53, 58, 66, 60)(55, 63, 69, 62)(59, 61, 68, 67)(65, 71, 72, 70)(73, 74, 78, 76)(75, 81, 88, 80)(77, 82, 90, 84)(79, 87, 93, 86)(83, 85, 92, 91)(89, 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) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E11.144
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.141 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1 * Y3^-1)^2, Y3^2 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^2, Y2 * Y3^2 * Y1, (Y3 * Y2^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 8, 32, 56, 80, 7, 31, 55, 79)(2, 26, 50, 74, 9, 33, 57, 81, 17, 41, 65, 89, 11, 35, 59, 83)(3, 27, 51, 75, 13, 37, 61, 85, 5, 29, 53, 77, 15, 39, 63, 87)(6, 30, 54, 78, 19, 43, 67, 91, 14, 38, 62, 86, 20, 44, 68, 92)(10, 34, 58, 82, 23, 47, 71, 95, 18, 42, 66, 90, 16, 40, 64, 88)(12, 36, 60, 84, 24, 48, 72, 96, 22, 46, 70, 94, 21, 45, 69, 93)
	L = (1, 26)(2, 29)(3, 36)(4, 40)(5, 25)(6, 42)(7, 39)(8, 30)(9, 45)(10, 46)(11, 28)(12, 38)(13, 33)(14, 27)(15, 44)(16, 35)(17, 34)(18, 32)(19, 48)(20, 31)(21, 37)(22, 41)(23, 43)(24, 47)(49, 75)(50, 80)(51, 78)(52, 81)(53, 89)(54, 73)(55, 91)(56, 82)(57, 87)(58, 74)(59, 95)(60, 77)(61, 96)(62, 94)(63, 76)(64, 79)(65, 84)(66, 86)(67, 88)(68, 85)(69, 83)(70, 90)(71, 93)(72, 92)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.137
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 22
	degree seq :: [ 16^6 ]

E11.142 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1 * Y2 * Y3^-2, (Y1 * Y2)^2, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y3^2 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3 * Y1^-1 * Y2, (Y2^-1 * Y3^-1 * Y1^-1)^2, (Y2 * Y1^-1)^3, (Y3 * Y1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 8, 32, 56, 80, 7, 31, 55, 79)(2, 26, 50, 74, 9, 33, 57, 81, 19, 43, 67, 91, 11, 35, 59, 83)(3, 27, 51, 75, 13, 37, 61, 85, 5, 29, 53, 77, 15, 39, 63, 87)(6, 30, 54, 78, 17, 41, 65, 89, 14, 38, 62, 86, 16, 40, 64, 88)(10, 34, 58, 82, 18, 42, 66, 90, 20, 44, 68, 92, 21, 45, 69, 93)(12, 36, 60, 84, 22, 46, 70, 94, 23, 47, 71, 95, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 36)(4, 37)(5, 25)(6, 44)(7, 42)(8, 30)(9, 31)(10, 47)(11, 46)(12, 38)(13, 41)(14, 27)(15, 35)(16, 48)(17, 28)(18, 33)(19, 34)(20, 32)(21, 40)(22, 39)(23, 43)(24, 45)(49, 75)(50, 80)(51, 78)(52, 88)(53, 91)(54, 73)(55, 83)(56, 82)(57, 93)(58, 74)(59, 85)(60, 77)(61, 79)(62, 95)(63, 96)(64, 90)(65, 87)(66, 76)(67, 84)(68, 86)(69, 94)(70, 81)(71, 92)(72, 89)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.138
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 22
	degree seq :: [ 16^6 ]

E11.143 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, (Y3^-1 * Y1^-1)^2, Y1^4, Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 8, 32, 56, 80)(4, 28, 52, 76, 11, 35, 59, 83, 9, 33, 57, 81)(6, 30, 54, 78, 13, 37, 61, 85, 14, 38, 62, 86)(10, 34, 58, 82, 18, 42, 66, 90, 12, 36, 60, 84)(15, 39, 63, 87, 22, 46, 70, 94, 16, 40, 64, 88)(17, 41, 65, 89, 19, 43, 67, 91, 23, 47, 71, 95)(20, 44, 68, 92, 24, 48, 72, 96, 21, 45, 69, 93)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 36)(6, 28)(7, 29)(8, 40)(9, 41)(10, 27)(11, 38)(12, 39)(13, 32)(14, 45)(15, 31)(16, 44)(17, 34)(18, 47)(19, 35)(20, 37)(21, 43)(22, 42)(23, 48)(24, 46)(49, 74)(50, 78)(51, 81)(52, 73)(53, 84)(54, 76)(55, 77)(56, 88)(57, 89)(58, 75)(59, 86)(60, 87)(61, 80)(62, 93)(63, 79)(64, 92)(65, 82)(66, 95)(67, 83)(68, 85)(69, 91)(70, 90)(71, 96)(72, 94)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.139
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 20
	degree seq :: [ 12^8 ]

E11.144 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^3, Y1^4, (R * Y3)^2, (Y1 * Y3^-1)^2, Y2^4, R * Y2 * R * Y1, Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 8, 32, 56, 80)(4, 28, 52, 76, 10, 34, 58, 82, 11, 35, 59, 83)(6, 30, 54, 78, 13, 37, 61, 85, 14, 38, 62, 86)(9, 33, 57, 81, 17, 41, 65, 89, 12, 36, 60, 84)(15, 39, 63, 87, 22, 46, 70, 94, 16, 40, 64, 88)(18, 42, 66, 90, 23, 47, 71, 95, 19, 43, 67, 91)(20, 44, 68, 92, 24, 48, 72, 96, 21, 45, 69, 93)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 34)(6, 28)(7, 39)(8, 27)(9, 40)(10, 42)(11, 37)(12, 29)(13, 44)(14, 31)(15, 45)(16, 32)(17, 47)(18, 36)(19, 35)(20, 43)(21, 38)(22, 41)(23, 48)(24, 46)(49, 74)(50, 78)(51, 81)(52, 73)(53, 82)(54, 76)(55, 87)(56, 75)(57, 88)(58, 90)(59, 85)(60, 77)(61, 92)(62, 79)(63, 93)(64, 80)(65, 95)(66, 84)(67, 83)(68, 91)(69, 86)(70, 89)(71, 96)(72, 94)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.140
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 20
	degree seq :: [ 12^8 ]

E11.145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^-2 * Y1 * Y2 * Y1^-1 * Y2 * Y1, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 10, 34)(5, 29, 12, 36, 6, 30)(7, 31, 14, 38, 11, 35)(9, 33, 16, 40, 17, 41)(13, 37, 19, 43, 20, 44)(15, 39, 21, 45, 18, 42)(22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 57, 81, 53, 77)(50, 74, 54, 78, 61, 85, 55, 79)(52, 76, 59, 83, 63, 87, 56, 80)(58, 82, 66, 90, 70, 94, 64, 88)(60, 84, 65, 89, 71, 95, 67, 91)(62, 86, 68, 92, 72, 96, 69, 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, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, Y1^3, (R * Y1)^2, (Y2 * Y1^-1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 7, 31)(5, 29, 10, 34, 12, 36)(6, 30, 13, 37, 11, 35)(9, 33, 17, 41, 16, 40)(14, 38, 15, 39, 21, 45)(18, 42, 20, 44, 19, 43)(22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 53, 77)(50, 74, 54, 78, 62, 86, 55, 79)(52, 76, 58, 82, 66, 90, 59, 83)(56, 80, 63, 87, 70, 94, 64, 88)(60, 84, 65, 89, 71, 95, 67, 91)(61, 85, 68, 92, 72, 96, 69, 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, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y3 * Y2^2, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 11, 35)(4, 28, 12, 36, 13, 37)(6, 30, 16, 40, 7, 31)(8, 32, 17, 41, 18, 42)(9, 33, 19, 43, 14, 38)(15, 39, 23, 47, 20, 44)(21, 45, 24, 48, 22, 46)(49, 73, 51, 75, 52, 76, 54, 78)(50, 74, 55, 79, 56, 80, 57, 81)(53, 77, 62, 86, 63, 87, 58, 82)(59, 83, 68, 92, 69, 93, 60, 84)(61, 85, 70, 94, 65, 89, 64, 88)(66, 90, 72, 96, 71, 95, 67, 91)
	L = (1, 52)(2, 56)(3, 54)(4, 49)(5, 63)(6, 51)(7, 57)(8, 50)(9, 55)(10, 62)(11, 69)(12, 68)(13, 65)(14, 58)(15, 53)(16, 70)(17, 61)(18, 71)(19, 72)(20, 60)(21, 59)(22, 64)(23, 66)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y2^2 * Y3, Y1^3, (Y2 * Y1^-1)^2, (Y1^-1 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 9, 33)(4, 28, 11, 35, 12, 36)(6, 30, 13, 37, 16, 40)(7, 31, 17, 41, 15, 39)(8, 32, 18, 42, 19, 43)(14, 38, 23, 47, 22, 46)(20, 44, 21, 45, 24, 48)(49, 73, 51, 75, 52, 76, 54, 78)(50, 74, 55, 79, 56, 80, 57, 81)(53, 77, 61, 85, 62, 86, 63, 87)(58, 82, 66, 90, 68, 92, 60, 84)(59, 83, 69, 93, 70, 94, 64, 88)(65, 89, 71, 95, 72, 96, 67, 91)
	L = (1, 52)(2, 56)(3, 54)(4, 49)(5, 62)(6, 51)(7, 57)(8, 50)(9, 55)(10, 68)(11, 70)(12, 66)(13, 63)(14, 53)(15, 61)(16, 69)(17, 72)(18, 60)(19, 71)(20, 58)(21, 64)(22, 59)(23, 67)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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^-1 * Y3, Y3^3, Y1^3, Y2 * Y3 * Y2 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y3^-1 * Y2^-2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 10, 34)(5, 29, 12, 36, 6, 30)(7, 31, 14, 38, 11, 35)(9, 33, 16, 40, 17, 41)(13, 37, 19, 43, 20, 44)(15, 39, 21, 45, 18, 42)(22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 57, 81, 53, 77)(50, 74, 54, 78, 61, 85, 55, 79)(52, 76, 59, 83, 63, 87, 56, 80)(58, 82, 66, 90, 70, 94, 64, 88)(60, 84, 65, 89, 71, 95, 67, 91)(62, 86, 68, 92, 72, 96, 69, 93)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 60)(6, 53)(7, 62)(8, 58)(9, 64)(10, 51)(11, 55)(12, 54)(13, 67)(14, 59)(15, 69)(16, 65)(17, 57)(18, 63)(19, 68)(20, 61)(21, 66)(22, 72)(23, 70)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y2^2 * Y1^-1 * Y3, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1 * Y2^2 * Y3^-1, Y3^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 10, 34)(4, 28, 16, 40, 11, 35)(6, 30, 17, 41, 15, 39)(7, 31, 13, 37, 20, 44)(8, 32, 21, 45, 18, 42)(9, 33, 23, 47, 19, 43)(14, 38, 24, 48, 22, 46)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 56, 80, 52, 76, 58, 82)(53, 77, 65, 89, 57, 81, 66, 90)(55, 79, 60, 84, 64, 88, 62, 86)(59, 83, 69, 93, 71, 95, 70, 94)(63, 87, 68, 92, 72, 96, 67, 91)
	L = (1, 52)(2, 57)(3, 62)(4, 55)(5, 61)(6, 66)(7, 49)(8, 70)(9, 59)(10, 54)(11, 50)(12, 56)(13, 67)(14, 63)(15, 51)(16, 71)(17, 72)(18, 58)(19, 53)(20, 64)(21, 65)(22, 60)(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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.151 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 6})
Quotient :: edge^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^3, Y2 * Y1 * Y2^-1 * Y3, Y1 * Y2^-1 * Y3 * Y2, Y1 * Y3 * Y1^-1 * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 7, 31)(2, 26, 9, 33, 11, 35)(3, 27, 12, 36, 14, 38)(5, 29, 18, 42, 19, 43)(6, 30, 15, 39, 10, 34)(8, 32, 20, 44, 23, 47)(13, 37, 21, 45, 22, 46)(16, 40, 17, 41, 24, 48)(49, 50, 53)(51, 59, 61)(52, 60, 63)(54, 57, 68)(55, 69, 65)(56, 67, 70)(58, 66, 72)(62, 71, 64)(73, 75, 78)(74, 80, 82)(76, 85, 88)(77, 89, 87)(79, 83, 91)(81, 94, 86)(84, 92, 96)(90, 93, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^3 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E11.154
Graph:: simple bipartite
	v = 24 e = 48 f = 4
	degree seq :: [ 3^16, 6^8 ]

E11.152 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 6})
Quotient :: edge^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y1^3, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^2, Y3 * Y2 * Y3^-2 * Y1, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 21, 45, 15, 39, 5, 29)(2, 26, 6, 30, 16, 40, 24, 48, 14, 38, 7, 31)(4, 28, 11, 35, 8, 32, 20, 44, 19, 43, 12, 36)(10, 34, 18, 42, 17, 41, 23, 47, 22, 46, 13, 37)(49, 50, 52)(51, 56, 58)(53, 61, 62)(54, 57, 65)(55, 66, 67)(59, 64, 70)(60, 71, 63)(68, 69, 72)(73, 74, 76)(75, 80, 82)(77, 85, 86)(78, 81, 89)(79, 90, 91)(83, 88, 94)(84, 95, 87)(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) :: { ( 12^3 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E11.153
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 3^16, 12^4 ]

E11.153 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 6})
Quotient :: loop^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^3, Y2 * Y1 * Y2^-1 * Y3, Y1 * Y2^-1 * Y3 * Y2, Y1 * Y3 * Y1^-1 * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 7, 31, 55, 79)(2, 26, 50, 74, 9, 33, 57, 81, 11, 35, 59, 83)(3, 27, 51, 75, 12, 36, 60, 84, 14, 38, 62, 86)(5, 29, 53, 77, 18, 42, 66, 90, 19, 43, 67, 91)(6, 30, 54, 78, 15, 39, 63, 87, 10, 34, 58, 82)(8, 32, 56, 80, 20, 44, 68, 92, 23, 47, 71, 95)(13, 37, 61, 85, 21, 45, 69, 93, 22, 46, 70, 94)(16, 40, 64, 88, 17, 41, 65, 89, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 35)(4, 36)(5, 25)(6, 33)(7, 45)(8, 43)(9, 44)(10, 42)(11, 37)(12, 39)(13, 27)(14, 47)(15, 28)(16, 38)(17, 31)(18, 48)(19, 46)(20, 30)(21, 41)(22, 32)(23, 40)(24, 34)(49, 75)(50, 80)(51, 78)(52, 85)(53, 89)(54, 73)(55, 83)(56, 82)(57, 94)(58, 74)(59, 91)(60, 92)(61, 88)(62, 81)(63, 77)(64, 76)(65, 87)(66, 93)(67, 79)(68, 96)(69, 95)(70, 86)(71, 90)(72, 84)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.152
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 20
	degree seq :: [ 12^8 ]

E11.154 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 6})
Quotient :: loop^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y1^3, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^2, Y3 * Y2 * Y3^-2 * Y1, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 9, 33, 57, 81, 21, 45, 69, 93, 15, 39, 63, 87, 5, 29, 53, 77)(2, 26, 50, 74, 6, 30, 54, 78, 16, 40, 64, 88, 24, 48, 72, 96, 14, 38, 62, 86, 7, 31, 55, 79)(4, 28, 52, 76, 11, 35, 59, 83, 8, 32, 56, 80, 20, 44, 68, 92, 19, 43, 67, 91, 12, 36, 60, 84)(10, 34, 58, 82, 18, 42, 66, 90, 17, 41, 65, 89, 23, 47, 71, 95, 22, 46, 70, 94, 13, 37, 61, 85)
	L = (1, 26)(2, 28)(3, 32)(4, 25)(5, 37)(6, 33)(7, 42)(8, 34)(9, 41)(10, 27)(11, 40)(12, 47)(13, 38)(14, 29)(15, 36)(16, 46)(17, 30)(18, 43)(19, 31)(20, 45)(21, 48)(22, 35)(23, 39)(24, 44)(49, 74)(50, 76)(51, 80)(52, 73)(53, 85)(54, 81)(55, 90)(56, 82)(57, 89)(58, 75)(59, 88)(60, 95)(61, 86)(62, 77)(63, 84)(64, 94)(65, 78)(66, 91)(67, 79)(68, 93)(69, 96)(70, 83)(71, 87)(72, 92)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.151
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 24
	degree seq :: [ 24^4 ]

E11.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^3, Y2^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 9, 33)(4, 28, 10, 34, 11, 35)(6, 30, 14, 38, 15, 39)(7, 31, 16, 40, 17, 41)(12, 36, 21, 45, 19, 43)(13, 37, 20, 44, 23, 47)(18, 42, 24, 48, 22, 46)(49, 73, 51, 75, 52, 76)(50, 74, 54, 78, 55, 79)(53, 77, 60, 84, 61, 85)(56, 80, 66, 90, 65, 89)(57, 81, 67, 91, 63, 87)(58, 82, 68, 92, 64, 88)(59, 83, 69, 93, 70, 94)(62, 86, 72, 96, 71, 95)
	L = (1, 52)(2, 55)(3, 49)(4, 51)(5, 61)(6, 50)(7, 54)(8, 65)(9, 63)(10, 64)(11, 70)(12, 53)(13, 60)(14, 71)(15, 67)(16, 68)(17, 66)(18, 56)(19, 57)(20, 58)(21, 59)(22, 69)(23, 72)(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, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.157
Graph:: bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 6^16 ]

E11.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y2^-1 * Y3, Y1^3, (R * Y3)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y1 * Y3 * Y2 * Y3^2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 4, 28, 12, 36)(6, 30, 11, 35, 19, 43)(7, 31, 21, 45, 22, 46)(8, 32, 9, 33, 13, 37)(10, 34, 23, 47, 16, 40)(14, 38, 15, 39, 20, 44)(17, 41, 18, 42, 24, 48)(49, 73, 51, 75, 54, 78)(50, 74, 56, 80, 58, 82)(52, 76, 62, 86, 64, 88)(53, 77, 65, 89, 55, 79)(57, 81, 63, 87, 70, 94)(59, 83, 69, 93, 71, 95)(60, 84, 72, 96, 61, 85)(66, 90, 68, 92, 67, 91)
	L = (1, 52)(2, 57)(3, 59)(4, 63)(5, 66)(6, 50)(7, 49)(8, 71)(9, 68)(10, 53)(11, 70)(12, 65)(13, 51)(14, 58)(15, 55)(16, 60)(17, 69)(18, 62)(19, 72)(20, 54)(21, 64)(22, 61)(23, 67)(24, 56)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.158
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 6^16 ]

E11.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2^3, Y3^2 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3 * Y1^-1 * Y2^-1, Y2 * Y1^-2 * Y3^-1 * Y1, Y1^6, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 16, 40, 15, 39, 5, 29)(3, 27, 9, 33, 20, 44, 24, 48, 14, 38, 10, 34)(4, 28, 11, 35, 7, 31, 18, 42, 21, 45, 12, 36)(8, 32, 19, 43, 17, 41, 23, 47, 22, 46, 13, 37)(49, 73, 51, 75, 52, 76)(50, 74, 55, 79, 56, 80)(53, 77, 61, 85, 62, 86)(54, 78, 65, 89, 57, 81)(58, 82, 67, 91, 69, 93)(59, 83, 68, 92, 70, 94)(60, 84, 71, 95, 63, 87)(64, 88, 72, 96, 66, 90)
	L = (1, 52)(2, 56)(3, 49)(4, 51)(5, 62)(6, 57)(7, 50)(8, 55)(9, 65)(10, 69)(11, 70)(12, 63)(13, 53)(14, 61)(15, 71)(16, 66)(17, 54)(18, 72)(19, 58)(20, 59)(21, 67)(22, 68)(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) :: { ( 6^6 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E11.155
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 6^8, 12^4 ]

E11.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3, Y2^3, Y3^4, (R * Y1^-1)^2, Y1^-2 * Y2 * Y3^-1, Y1^2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y1^6, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 17, 41, 5, 29)(3, 27, 12, 36, 21, 45, 18, 42, 19, 43, 13, 37)(4, 28, 6, 30, 20, 44, 7, 31, 22, 46, 16, 40)(9, 33, 10, 34, 24, 48, 11, 35, 14, 38, 23, 47)(49, 73, 51, 75, 54, 78)(50, 74, 55, 79, 58, 82)(52, 76, 62, 86, 65, 89)(53, 77, 57, 81, 67, 91)(56, 80, 59, 83, 60, 84)(61, 85, 72, 96, 64, 88)(63, 87, 66, 90, 70, 94)(68, 92, 69, 93, 71, 95)
	L = (1, 52)(2, 57)(3, 53)(4, 63)(5, 66)(6, 61)(7, 49)(8, 51)(9, 65)(10, 68)(11, 50)(12, 72)(13, 70)(14, 64)(15, 55)(16, 58)(17, 59)(18, 56)(19, 71)(20, 62)(21, 54)(22, 69)(23, 60)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6^6 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E11.156
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 6^8, 12^4 ]

E11.159 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 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 :: [ R^2, (Y3^-1 * Y1)^2, Y3 * Y2 * Y3^-1 * Y1^-1, Y2^-2 * Y1^-2, (Y3^-1 * Y1^-1)^2, Y3^-2 * Y1^-1 * Y2^-1, R * Y1 * R * Y2, Y2^4, Y3^2 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^4, (Y3 * Y1 * Y2^-1)^2, (Y1 * Y2)^3 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 9, 33, 22, 46, 13, 37, 7, 31)(2, 26, 10, 34, 6, 30, 18, 42, 21, 45, 12, 36)(3, 27, 14, 38, 23, 47, 17, 41, 5, 29, 16, 40)(8, 32, 19, 43, 11, 35, 24, 48, 15, 39, 20, 44)(49, 50, 56, 53)(51, 61, 54, 63)(52, 65, 67, 60)(55, 64, 68, 58)(57, 69, 59, 71)(62, 72, 66, 70)(73, 75, 80, 78)(74, 81, 77, 83)(76, 82, 91, 88)(79, 90, 92, 86)(84, 96, 89, 94)(85, 95, 87, 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 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.162
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.160 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 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 :: [ R^2, Y3^2, Y2^2 * Y1^2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1^-2 * Y2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, (Y2^-1 * Y1^-1)^3 ]
Map:: 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, 16, 40)(8, 32, 18, 42)(10, 34, 20, 44)(11, 35, 21, 45)(13, 37, 22, 46)(17, 41, 23, 47)(19, 43, 24, 48)(49, 50, 55, 53)(51, 59, 54, 61)(52, 62, 64, 57)(56, 65, 58, 67)(60, 70, 63, 69)(66, 72, 68, 71)(73, 75, 79, 78)(74, 80, 77, 82)(76, 87, 88, 84)(81, 92, 86, 90)(83, 91, 85, 89)(93, 95, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E11.161
Graph:: simple bipartite
	v = 24 e = 48 f = 4
	degree seq :: [ 4^24 ]

E11.161 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 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 :: [ R^2, (Y3^-1 * Y1)^2, Y3 * Y2 * Y3^-1 * Y1^-1, Y2^-2 * Y1^-2, (Y3^-1 * Y1^-1)^2, Y3^-2 * Y1^-1 * Y2^-1, R * Y1 * R * Y2, Y2^4, Y3^2 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^4, (Y3 * Y1 * Y2^-1)^2, (Y1 * Y2)^3 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 9, 33, 57, 81, 22, 46, 70, 94, 13, 37, 61, 85, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 6, 30, 54, 78, 18, 42, 66, 90, 21, 45, 69, 93, 12, 36, 60, 84)(3, 27, 51, 75, 14, 38, 62, 86, 23, 47, 71, 95, 17, 41, 65, 89, 5, 29, 53, 77, 16, 40, 64, 88)(8, 32, 56, 80, 19, 43, 67, 91, 11, 35, 59, 83, 24, 48, 72, 96, 15, 39, 63, 87, 20, 44, 68, 92)
	L = (1, 26)(2, 32)(3, 37)(4, 41)(5, 25)(6, 39)(7, 40)(8, 29)(9, 45)(10, 31)(11, 47)(12, 28)(13, 30)(14, 48)(15, 27)(16, 44)(17, 43)(18, 46)(19, 36)(20, 34)(21, 35)(22, 38)(23, 33)(24, 42)(49, 75)(50, 81)(51, 80)(52, 82)(53, 83)(54, 73)(55, 90)(56, 78)(57, 77)(58, 91)(59, 74)(60, 96)(61, 95)(62, 79)(63, 93)(64, 76)(65, 94)(66, 92)(67, 88)(68, 86)(69, 85)(70, 84)(71, 87)(72, 89)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.160
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 24
	degree seq :: [ 24^4 ]

E11.162 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 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 :: [ R^2, Y3^2, Y2^2 * Y1^2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1^-2 * Y2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, (Y2^-1 * Y1^-1)^3 ]
Map:: 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, 16, 40, 64, 88)(8, 32, 56, 80, 18, 42, 66, 90)(10, 34, 58, 82, 20, 44, 68, 92)(11, 35, 59, 83, 21, 45, 69, 93)(13, 37, 61, 85, 22, 46, 70, 94)(17, 41, 65, 89, 23, 47, 71, 95)(19, 43, 67, 91, 24, 48, 72, 96)
	L = (1, 26)(2, 31)(3, 35)(4, 38)(5, 25)(6, 37)(7, 29)(8, 41)(9, 28)(10, 43)(11, 30)(12, 46)(13, 27)(14, 40)(15, 45)(16, 33)(17, 34)(18, 48)(19, 32)(20, 47)(21, 36)(22, 39)(23, 42)(24, 44)(49, 75)(50, 80)(51, 79)(52, 87)(53, 82)(54, 73)(55, 78)(56, 77)(57, 92)(58, 74)(59, 91)(60, 76)(61, 89)(62, 90)(63, 88)(64, 84)(65, 83)(66, 81)(67, 85)(68, 86)(69, 95)(70, 96)(71, 94)(72, 93)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.159
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
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, Y2^4, (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 6, 30)(4, 28, 11, 35)(5, 29, 8, 32)(7, 31, 15, 39)(9, 33, 13, 37)(10, 34, 18, 42)(12, 36, 20, 44)(14, 38, 22, 46)(16, 40, 24, 48)(17, 41, 23, 47)(19, 43, 21, 45)(49, 73, 51, 75, 57, 81, 53, 77)(50, 74, 54, 78, 61, 85, 56, 80)(52, 76, 58, 82, 65, 89, 60, 84)(55, 79, 62, 86, 69, 93, 64, 88)(59, 83, 66, 90, 71, 95, 68, 92)(63, 87, 70, 94, 67, 91, 72, 96)
	L = (1, 52)(2, 55)(3, 58)(4, 49)(5, 60)(6, 62)(7, 50)(8, 64)(9, 65)(10, 51)(11, 67)(12, 53)(13, 69)(14, 54)(15, 71)(16, 56)(17, 57)(18, 72)(19, 59)(20, 70)(21, 61)(22, 68)(23, 63)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.170
Graph:: simple bipartite
	v = 18 e = 48 f = 10
	degree seq :: [ 4^12, 8^6 ]

E11.164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
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, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y3 * Y2 * Y3 * Y2^-1, Y2^4, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1 * Y1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 12, 36)(5, 29, 14, 38)(6, 30, 15, 39)(7, 31, 18, 42)(8, 32, 20, 44)(10, 34, 16, 40)(11, 35, 17, 41)(13, 37, 19, 43)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 58, 82, 53, 77)(50, 74, 54, 78, 64, 88, 56, 80)(52, 76, 59, 83, 70, 94, 61, 85)(55, 79, 65, 89, 72, 96, 67, 91)(57, 81, 66, 90, 62, 86, 69, 93)(60, 84, 68, 92, 71, 95, 63, 87)
	L = (1, 52)(2, 55)(3, 59)(4, 49)(5, 61)(6, 65)(7, 50)(8, 67)(9, 68)(10, 70)(11, 51)(12, 69)(13, 53)(14, 63)(15, 62)(16, 72)(17, 54)(18, 71)(19, 56)(20, 57)(21, 60)(22, 58)(23, 66)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.169
Graph:: simple bipartite
	v = 18 e = 48 f = 10
	degree seq :: [ 4^12, 8^6 ]

E11.165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (Y2 * Y1)^2, Y2^4, (R * Y1)^2, (Y2^-1 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: 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, 16, 40)(12, 36, 20, 44)(13, 37, 19, 43)(14, 38, 18, 42)(15, 39, 17, 41)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 61, 85, 69, 93, 62, 86)(54, 78, 60, 84, 70, 94, 63, 87)(56, 80, 66, 90, 71, 95, 67, 91)(58, 82, 65, 89, 72, 96, 68, 92)
	L = (1, 52)(2, 56)(3, 60)(4, 54)(5, 63)(6, 49)(7, 65)(8, 58)(9, 68)(10, 50)(11, 69)(12, 61)(13, 51)(14, 53)(15, 62)(16, 71)(17, 66)(18, 55)(19, 57)(20, 67)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.171
Graph:: simple bipartite
	v = 18 e = 48 f = 10
	degree seq :: [ 4^12, 8^6 ]

E11.166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^4, (R * Y1)^2, Y2^-2 * Y3^3, (R * Y2 * Y3^-1)^2 ]
Map:: 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, 23, 47)(13, 37, 22, 46)(14, 38, 21, 45)(15, 39, 20, 44)(16, 40, 19, 43)(17, 41, 24, 48)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 61, 85, 65, 89, 63, 87)(54, 78, 60, 84, 62, 86, 64, 88)(56, 80, 68, 92, 72, 96, 70, 94)(58, 82, 67, 91, 69, 93, 71, 95)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 64)(6, 49)(7, 67)(8, 69)(9, 71)(10, 50)(11, 65)(12, 63)(13, 51)(14, 59)(15, 53)(16, 61)(17, 54)(18, 72)(19, 70)(20, 55)(21, 66)(22, 57)(23, 68)(24, 58)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.172
Graph:: simple bipartite
	v = 18 e = 48 f = 10
	degree seq :: [ 4^12, 8^6 ]

E11.167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
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, Y3^3 * Y2^-1, Y2^-2 * Y1^-2, Y2^2 * Y1^-2, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y2^4, Y1^4, (Y3^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 6, 30, 11, 35)(4, 28, 15, 39, 19, 43, 12, 36)(7, 31, 17, 41, 20, 44, 10, 34)(13, 37, 24, 48, 16, 40, 22, 46)(14, 38, 23, 47, 18, 42, 21, 45)(49, 73, 51, 75, 56, 80, 54, 78)(50, 74, 57, 81, 53, 77, 59, 83)(52, 76, 61, 85, 67, 91, 64, 88)(55, 79, 62, 86, 68, 92, 66, 90)(58, 82, 69, 93, 65, 89, 71, 95)(60, 84, 70, 94, 63, 87, 72, 96)
	L = (1, 52)(2, 58)(3, 61)(4, 62)(5, 65)(6, 64)(7, 49)(8, 67)(9, 69)(10, 70)(11, 71)(12, 50)(13, 68)(14, 51)(15, 53)(16, 55)(17, 72)(18, 54)(19, 66)(20, 56)(21, 63)(22, 57)(23, 60)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.168
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
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, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, Y3^4, Y3 * Y1^-2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 16, 40, 5, 29)(3, 27, 11, 35, 21, 45, 24, 48, 18, 42, 8, 32)(4, 28, 14, 38, 10, 34, 6, 30, 17, 41, 9, 33)(12, 36, 19, 43, 23, 47, 13, 37, 20, 44, 22, 46)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 60, 84)(53, 77, 59, 83)(54, 78, 61, 85)(55, 79, 66, 90)(57, 81, 67, 91)(58, 82, 68, 92)(62, 86, 70, 94)(63, 87, 72, 96)(64, 88, 69, 93)(65, 89, 71, 95)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 62)(6, 49)(7, 65)(8, 67)(9, 64)(10, 50)(11, 70)(12, 72)(13, 51)(14, 55)(15, 54)(16, 58)(17, 53)(18, 71)(19, 69)(20, 56)(21, 68)(22, 66)(23, 59)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.167
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
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, R * Y2 * R * Y2^-1, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (Y2^-1 * Y3)^2, (Y1, Y2^-1), Y1^4, Y1^-2 * Y2^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 8, 32, 17, 41, 13, 37)(4, 28, 9, 33, 18, 42, 15, 39)(6, 30, 10, 34, 11, 35, 16, 40)(12, 36, 19, 43, 23, 47, 22, 46)(14, 38, 20, 44, 21, 45, 24, 48)(49, 73, 51, 75, 59, 83, 55, 79, 65, 89, 54, 78)(50, 74, 56, 80, 64, 88, 53, 77, 61, 85, 58, 82)(52, 76, 62, 86, 71, 95, 66, 90, 69, 93, 60, 84)(57, 81, 68, 92, 70, 94, 63, 87, 72, 96, 67, 91)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 63)(6, 62)(7, 66)(8, 67)(9, 50)(10, 68)(11, 69)(12, 51)(13, 70)(14, 54)(15, 53)(16, 72)(17, 71)(18, 55)(19, 56)(20, 58)(21, 59)(22, 61)(23, 65)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E11.164
Graph:: bipartite
	v = 10 e = 48 f = 18
	degree seq :: [ 8^6, 12^4 ]

E11.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
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, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y2^-1 * Y3)^2, (R * Y1)^2, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1^-1 * Y3 * Y1 * Y3, Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y1^-2 * Y2^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 10, 34, 17, 41, 13, 37)(4, 28, 9, 33, 18, 42, 15, 39)(6, 30, 8, 32, 11, 35, 16, 40)(12, 36, 20, 44, 23, 47, 22, 46)(14, 38, 19, 43, 21, 45, 24, 48)(49, 73, 51, 75, 59, 83, 55, 79, 65, 89, 54, 78)(50, 74, 56, 80, 61, 85, 53, 77, 64, 88, 58, 82)(52, 76, 62, 86, 71, 95, 66, 90, 69, 93, 60, 84)(57, 81, 68, 92, 72, 96, 63, 87, 70, 94, 67, 91)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 63)(6, 62)(7, 66)(8, 67)(9, 50)(10, 68)(11, 69)(12, 51)(13, 70)(14, 54)(15, 53)(16, 72)(17, 71)(18, 55)(19, 56)(20, 58)(21, 59)(22, 61)(23, 65)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E11.163
Graph:: bipartite
	v = 10 e = 48 f = 18
	degree seq :: [ 8^6, 12^4 ]

E11.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y3, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1, (Y2 * Y1)^2, (R * Y2)^2, (Y2 * Y1^-1)^2, (Y3 * Y2^-1)^2, Y1^4, (Y3 * Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 18, 42, 11, 35)(4, 28, 12, 36, 19, 43, 15, 39)(6, 30, 16, 40, 20, 44, 9, 33)(7, 31, 10, 34, 21, 45, 17, 41)(14, 38, 23, 47, 24, 48, 22, 46)(49, 73, 51, 75, 55, 79, 62, 86, 52, 76, 54, 78)(50, 74, 57, 81, 60, 84, 70, 94, 58, 82, 59, 83)(53, 77, 64, 88, 63, 87, 71, 95, 65, 89, 61, 85)(56, 80, 66, 90, 69, 93, 72, 96, 67, 91, 68, 92)
	L = (1, 52)(2, 58)(3, 54)(4, 55)(5, 65)(6, 62)(7, 49)(8, 67)(9, 59)(10, 60)(11, 70)(12, 50)(13, 71)(14, 51)(15, 53)(16, 61)(17, 63)(18, 68)(19, 69)(20, 72)(21, 56)(22, 57)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.165
Graph:: bipartite
	v = 10 e = 48 f = 18
	degree seq :: [ 8^6, 12^4 ]

E11.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y1^4, (Y2^-1 * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, Y1^-2 * Y3^-1 * Y2^-2, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2^-1, Y1^-2 * Y2 * Y3 * Y2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y3^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 21, 45, 11, 35)(4, 28, 12, 36, 20, 44, 17, 41)(6, 30, 18, 42, 15, 39, 9, 33)(7, 31, 10, 34, 14, 38, 19, 43)(16, 40, 23, 47, 24, 48, 22, 46)(49, 73, 51, 75, 62, 86, 72, 96, 68, 92, 54, 78)(50, 74, 57, 81, 65, 89, 71, 95, 67, 91, 59, 83)(52, 76, 63, 87, 56, 80, 69, 93, 55, 79, 64, 88)(53, 77, 66, 90, 60, 84, 70, 94, 58, 82, 61, 85)
	L = (1, 52)(2, 58)(3, 63)(4, 62)(5, 67)(6, 64)(7, 49)(8, 68)(9, 61)(10, 65)(11, 70)(12, 50)(13, 71)(14, 56)(15, 72)(16, 51)(17, 53)(18, 59)(19, 60)(20, 55)(21, 54)(22, 57)(23, 66)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.166
Graph:: bipartite
	v = 10 e = 48 f = 18
	degree seq :: [ 8^6, 12^4 ]

E11.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^4, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 16, 40)(12, 36, 17, 41)(13, 37, 18, 42)(14, 38, 19, 43)(15, 39, 20, 44)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 61, 85, 69, 93, 62, 86)(54, 78, 60, 84, 70, 94, 63, 87)(56, 80, 66, 90, 71, 95, 67, 91)(58, 82, 65, 89, 72, 96, 68, 92)
	L = (1, 52)(2, 56)(3, 60)(4, 54)(5, 63)(6, 49)(7, 65)(8, 58)(9, 68)(10, 50)(11, 69)(12, 61)(13, 51)(14, 53)(15, 62)(16, 71)(17, 66)(18, 55)(19, 57)(20, 67)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.177
Graph:: simple bipartite
	v = 18 e = 48 f = 10
	degree seq :: [ 4^12, 8^6 ]

E11.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 5, 29)(4, 28, 7, 31)(6, 30, 8, 32)(9, 33, 13, 37)(10, 34, 12, 36)(11, 35, 15, 39)(14, 38, 16, 40)(17, 41, 21, 45)(18, 42, 20, 44)(19, 43, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 50, 74, 53, 77)(52, 76, 58, 82, 55, 79, 60, 84)(54, 78, 57, 81, 56, 80, 61, 85)(59, 83, 66, 90, 63, 87, 68, 92)(62, 86, 65, 89, 64, 88, 69, 93)(67, 91, 71, 95, 70, 94, 72, 96)
	L = (1, 52)(2, 55)(3, 57)(4, 59)(5, 61)(6, 49)(7, 63)(8, 50)(9, 65)(10, 51)(11, 67)(12, 53)(13, 69)(14, 54)(15, 70)(16, 56)(17, 71)(18, 58)(19, 62)(20, 60)(21, 72)(22, 64)(23, 66)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.179
Graph:: bipartite
	v = 18 e = 48 f = 10
	degree seq :: [ 4^12, 8^6 ]

E11.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^4, Y3 * Y1 * Y3^-1 * Y1, Y2^-2 * Y3^3 * Y1, Y1 * Y2^-2 * Y3^-3, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 18, 42)(12, 36, 19, 43)(13, 37, 20, 44)(14, 38, 21, 45)(15, 39, 22, 46)(16, 40, 23, 47)(17, 41, 24, 48)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 61, 85, 72, 96, 63, 87)(54, 78, 60, 84, 69, 93, 64, 88)(56, 80, 68, 92, 65, 89, 70, 94)(58, 82, 67, 91, 62, 86, 71, 95)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 64)(6, 49)(7, 67)(8, 69)(9, 71)(10, 50)(11, 72)(12, 70)(13, 51)(14, 66)(15, 53)(16, 68)(17, 54)(18, 65)(19, 63)(20, 55)(21, 59)(22, 57)(23, 61)(24, 58)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.180
Graph:: simple bipartite
	v = 18 e = 48 f = 10
	degree seq :: [ 4^12, 8^6 ]

E11.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y2^4, Y2^-2 * Y3^3, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 18, 42)(12, 36, 19, 43)(13, 37, 20, 44)(14, 38, 21, 45)(15, 39, 22, 46)(16, 40, 23, 47)(17, 41, 24, 48)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 61, 85, 65, 89, 63, 87)(54, 78, 60, 84, 62, 86, 64, 88)(56, 80, 68, 92, 72, 96, 70, 94)(58, 82, 67, 91, 69, 93, 71, 95)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 64)(6, 49)(7, 67)(8, 69)(9, 71)(10, 50)(11, 65)(12, 63)(13, 51)(14, 59)(15, 53)(16, 61)(17, 54)(18, 72)(19, 70)(20, 55)(21, 66)(22, 57)(23, 68)(24, 58)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.178
Graph:: simple bipartite
	v = 18 e = 48 f = 10
	degree seq :: [ 4^12, 8^6 ]

E11.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y2^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2)^2, Y1^4, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 11, 35, 18, 42, 13, 37)(4, 28, 12, 36, 19, 43, 15, 39)(6, 30, 9, 33, 20, 44, 16, 40)(7, 31, 10, 34, 21, 45, 17, 41)(14, 38, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 55, 79, 62, 86, 52, 76, 54, 78)(50, 74, 57, 81, 60, 84, 70, 94, 58, 82, 59, 83)(53, 77, 64, 88, 63, 87, 71, 95, 65, 89, 61, 85)(56, 80, 66, 90, 69, 93, 72, 96, 67, 91, 68, 92)
	L = (1, 52)(2, 58)(3, 54)(4, 55)(5, 65)(6, 62)(7, 49)(8, 67)(9, 59)(10, 60)(11, 70)(12, 50)(13, 71)(14, 51)(15, 53)(16, 61)(17, 63)(18, 68)(19, 69)(20, 72)(21, 56)(22, 57)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.173
Graph:: bipartite
	v = 10 e = 48 f = 18
	degree seq :: [ 8^6, 12^4 ]

E11.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y3^2 * Y2^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, Y1^4, (Y3 * Y2^-1)^2, Y1^-2 * Y2 * Y3 * Y2, Y1^-2 * Y3^-1 * Y2^-2, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 11, 35, 21, 45, 15, 39)(4, 28, 12, 36, 20, 44, 17, 41)(6, 30, 9, 33, 14, 38, 18, 42)(7, 31, 10, 34, 13, 37, 19, 43)(16, 40, 22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 61, 85, 71, 95, 68, 92, 54, 78)(50, 74, 57, 81, 65, 89, 72, 96, 67, 91, 59, 83)(52, 76, 62, 86, 56, 80, 69, 93, 55, 79, 64, 88)(53, 77, 66, 90, 60, 84, 70, 94, 58, 82, 63, 87)
	L = (1, 52)(2, 58)(3, 62)(4, 61)(5, 67)(6, 64)(7, 49)(8, 68)(9, 63)(10, 65)(11, 70)(12, 50)(13, 56)(14, 71)(15, 72)(16, 51)(17, 53)(18, 59)(19, 60)(20, 55)(21, 54)(22, 57)(23, 69)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.176
Graph:: bipartite
	v = 10 e = 48 f = 18
	degree seq :: [ 8^6, 12^4 ]

E11.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y3 * Y1^-1, Y1^4, Y1^2 * Y3 * Y2^-1, Y3^-1 * Y1^2 * Y2, (R * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^2, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 11, 35, 4, 28, 12, 36)(6, 30, 9, 33, 7, 31, 10, 34)(13, 37, 19, 43, 14, 38, 20, 44)(15, 39, 17, 41, 16, 40, 18, 42)(21, 45, 23, 47, 22, 46, 24, 48)(49, 73, 51, 75, 61, 85, 69, 93, 63, 87, 54, 78)(50, 74, 57, 81, 65, 89, 71, 95, 67, 91, 59, 83)(52, 76, 62, 86, 70, 94, 64, 88, 55, 79, 56, 80)(53, 77, 58, 82, 66, 90, 72, 96, 68, 92, 60, 84)
	L = (1, 52)(2, 58)(3, 62)(4, 61)(5, 57)(6, 56)(7, 49)(8, 51)(9, 66)(10, 65)(11, 53)(12, 50)(13, 70)(14, 69)(15, 55)(16, 54)(17, 72)(18, 71)(19, 60)(20, 59)(21, 64)(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) :: { ( 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 E11.174
Graph:: bipartite
	v = 10 e = 48 f = 18
	degree seq :: [ 8^6, 12^4 ]

E11.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y3)^2, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2)^2, Y1^-2 * Y3^-2 * Y2^-1, Y2^-1 * Y1^2 * Y2^-2, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 11, 35, 20, 44, 15, 39)(4, 28, 12, 36, 21, 45, 17, 41)(6, 30, 9, 33, 13, 37, 18, 42)(7, 31, 10, 34, 14, 38, 19, 43)(16, 40, 22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 61, 85, 56, 80, 68, 92, 54, 78)(50, 74, 57, 81, 63, 87, 53, 77, 66, 90, 59, 83)(52, 76, 62, 86, 71, 95, 69, 93, 55, 79, 64, 88)(58, 82, 65, 89, 72, 96, 67, 91, 60, 84, 70, 94)
	L = (1, 52)(2, 58)(3, 62)(4, 61)(5, 67)(6, 64)(7, 49)(8, 69)(9, 65)(10, 63)(11, 70)(12, 50)(13, 71)(14, 56)(15, 72)(16, 51)(17, 53)(18, 60)(19, 59)(20, 55)(21, 54)(22, 57)(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, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.175
Graph:: bipartite
	v = 10 e = 48 f = 18
	degree seq :: [ 8^6, 12^4 ]

E11.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, Y2 * Y1^-1 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y3^-1 * Y1^-1 * Y2^3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 11, 35, 13, 37)(4, 28, 9, 33, 7, 31)(6, 30, 15, 39, 20, 44)(8, 32, 23, 47, 16, 40)(10, 34, 21, 45, 14, 38)(12, 36, 17, 41, 19, 43)(18, 42, 22, 46, 24, 48)(49, 73, 51, 75, 60, 84, 57, 81, 69, 93, 54, 78)(50, 74, 56, 80, 61, 85, 55, 79, 70, 94, 58, 82)(52, 76, 63, 87, 66, 90, 53, 77, 65, 89, 64, 88)(59, 83, 72, 96, 67, 91, 62, 86, 71, 95, 68, 92)
	L = (1, 52)(2, 57)(3, 58)(4, 50)(5, 55)(6, 67)(7, 49)(8, 66)(9, 53)(10, 59)(11, 69)(12, 68)(13, 62)(14, 51)(15, 60)(16, 72)(17, 54)(18, 71)(19, 63)(20, 65)(21, 61)(22, 64)(23, 70)(24, 56)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.182
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 6^8, 12^4 ]

E11.182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y2 * Y3^2, Y1^-3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 3, 27, 8, 32, 5, 29)(4, 28, 13, 37, 10, 34, 11, 35, 22, 46, 14, 38)(6, 30, 17, 41, 23, 47, 12, 36, 15, 39, 18, 42)(9, 33, 21, 45, 19, 43, 20, 44, 24, 48, 16, 40)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 59, 83)(53, 77, 55, 79)(54, 78, 60, 84)(57, 81, 68, 92)(58, 82, 62, 86)(61, 85, 70, 94)(63, 87, 65, 89)(64, 88, 67, 91)(66, 90, 71, 95)(69, 93, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 60)(5, 63)(6, 49)(7, 65)(8, 68)(9, 62)(10, 50)(11, 54)(12, 51)(13, 69)(14, 56)(15, 67)(16, 53)(17, 64)(18, 61)(19, 55)(20, 58)(21, 71)(22, 72)(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) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.181
Graph:: bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.183 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^6, Y1^6, Y1^2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3, (Y1^-1 * Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 3, 27)(2, 26, 6, 30)(4, 28, 9, 33)(5, 29, 12, 36)(7, 31, 16, 40)(8, 32, 17, 41)(10, 34, 21, 45)(11, 35, 22, 46)(13, 37, 15, 39)(14, 38, 19, 43)(18, 42, 20, 44)(23, 47, 24, 48)(49, 50, 53, 59, 58, 52)(51, 55, 63, 70, 66, 56)(54, 61, 72, 69, 65, 62)(57, 67, 64, 60, 71, 68)(73, 74, 77, 83, 82, 76)(75, 79, 87, 94, 90, 80)(78, 85, 96, 93, 89, 86)(81, 91, 88, 84, 95, 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) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E11.186
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.184 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y3^3, (Y3^-1 * Y2)^2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^2, Y2^-2 * Y1^-1 * Y3^-1 * Y1, Y1 * Y2 * Y3 * Y2^-1 * Y1, Y2^6, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 4, 28, 7, 31)(2, 26, 6, 30, 11, 35)(3, 27, 13, 37, 14, 38)(5, 29, 16, 40, 18, 42)(8, 32, 10, 34, 19, 43)(9, 33, 15, 39, 20, 44)(12, 36, 24, 48, 17, 41)(21, 45, 22, 46, 23, 47)(49, 50, 56, 69, 65, 53)(51, 55, 64, 68, 71, 58)(52, 61, 72, 70, 57, 59)(54, 63, 66, 60, 62, 67)(73, 75, 84, 93, 92, 78)(74, 81, 88, 89, 85, 82)(76, 77, 87, 94, 80, 86)(79, 83, 91, 95, 96, 90)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E11.185
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 6^16 ]

E11.185 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^6, Y1^6, Y1^2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3, (Y1^-1 * Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75)(2, 26, 50, 74, 6, 30, 54, 78)(4, 28, 52, 76, 9, 33, 57, 81)(5, 29, 53, 77, 12, 36, 60, 84)(7, 31, 55, 79, 16, 40, 64, 88)(8, 32, 56, 80, 17, 41, 65, 89)(10, 34, 58, 82, 21, 45, 69, 93)(11, 35, 59, 83, 22, 46, 70, 94)(13, 37, 61, 85, 15, 39, 63, 87)(14, 38, 62, 86, 19, 43, 67, 91)(18, 42, 66, 90, 20, 44, 68, 92)(23, 47, 71, 95, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 31)(4, 25)(5, 35)(6, 37)(7, 39)(8, 27)(9, 43)(10, 28)(11, 34)(12, 47)(13, 48)(14, 30)(15, 46)(16, 36)(17, 38)(18, 32)(19, 40)(20, 33)(21, 41)(22, 42)(23, 44)(24, 45)(49, 74)(50, 77)(51, 79)(52, 73)(53, 83)(54, 85)(55, 87)(56, 75)(57, 91)(58, 76)(59, 82)(60, 95)(61, 96)(62, 78)(63, 94)(64, 84)(65, 86)(66, 80)(67, 88)(68, 81)(69, 89)(70, 90)(71, 92)(72, 93)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E11.184
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.186 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y3^3, (Y3^-1 * Y2)^2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^2, Y2^-2 * Y1^-1 * Y3^-1 * Y1, Y1 * Y2 * Y3 * Y2^-1 * Y1, Y2^6, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 7, 31, 55, 79)(2, 26, 50, 74, 6, 30, 54, 78, 11, 35, 59, 83)(3, 27, 51, 75, 13, 37, 61, 85, 14, 38, 62, 86)(5, 29, 53, 77, 16, 40, 64, 88, 18, 42, 66, 90)(8, 32, 56, 80, 10, 34, 58, 82, 19, 43, 67, 91)(9, 33, 57, 81, 15, 39, 63, 87, 20, 44, 68, 92)(12, 36, 60, 84, 24, 48, 72, 96, 17, 41, 65, 89)(21, 45, 69, 93, 22, 46, 70, 94, 23, 47, 71, 95)
	L = (1, 26)(2, 32)(3, 31)(4, 37)(5, 25)(6, 39)(7, 40)(8, 45)(9, 35)(10, 27)(11, 28)(12, 38)(13, 48)(14, 43)(15, 42)(16, 44)(17, 29)(18, 36)(19, 30)(20, 47)(21, 41)(22, 33)(23, 34)(24, 46)(49, 75)(50, 81)(51, 84)(52, 77)(53, 87)(54, 73)(55, 83)(56, 86)(57, 88)(58, 74)(59, 91)(60, 93)(61, 82)(62, 76)(63, 94)(64, 89)(65, 85)(66, 79)(67, 95)(68, 78)(69, 92)(70, 80)(71, 96)(72, 90)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.183
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 20
	degree seq :: [ 12^8 ]

E11.187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3 * Y2^-1 * Y3, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, (Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 13, 37)(5, 29, 14, 38)(6, 30, 15, 39)(7, 31, 16, 40)(8, 32, 18, 42)(9, 33, 19, 43)(10, 34, 20, 44)(12, 36, 17, 41)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 60, 84, 54, 78)(56, 80, 65, 89, 58, 82)(59, 83, 67, 91, 70, 94)(61, 85, 71, 95, 68, 92)(62, 86, 72, 96, 64, 88)(63, 87, 66, 90, 69, 93)
	L = (1, 52)(2, 56)(3, 60)(4, 51)(5, 54)(6, 49)(7, 65)(8, 55)(9, 58)(10, 50)(11, 69)(12, 53)(13, 64)(14, 68)(15, 70)(16, 71)(17, 57)(18, 59)(19, 63)(20, 72)(21, 67)(22, 66)(23, 62)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E11.192
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^-1 * Y2, Y3^3, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * 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, 52, 76, 61, 85, 55, 79, 54, 78)(50, 74, 56, 80, 57, 81, 70, 94, 59, 83, 58, 82)(53, 77, 64, 88, 65, 89, 72, 96, 62, 86, 66, 90)(60, 84, 71, 95, 67, 91, 68, 92, 69, 93, 63, 87)
	L = (1, 52)(2, 57)(3, 61)(4, 55)(5, 65)(6, 51)(7, 49)(8, 70)(9, 59)(10, 56)(11, 50)(12, 67)(13, 54)(14, 53)(15, 71)(16, 72)(17, 62)(18, 64)(19, 69)(20, 63)(21, 60)(22, 58)(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, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.190
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 6^8, 12^4 ]

E11.189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y1 * Y3)^2, Y2 * Y1 * Y2^-1 * Y3, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y3 * Y2^2 * Y1^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2 * Y1 * Y2 * Y3, Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 10, 34)(4, 28, 16, 40, 17, 41)(6, 30, 19, 43, 22, 46)(7, 31, 13, 37, 9, 33)(8, 32, 14, 38, 21, 45)(11, 35, 23, 47, 20, 44)(15, 39, 24, 48, 18, 42)(49, 73, 51, 75, 61, 85, 72, 96, 68, 92, 54, 78)(50, 74, 56, 80, 71, 95, 66, 90, 52, 76, 58, 82)(53, 77, 67, 91, 65, 89, 63, 87, 57, 81, 69, 93)(55, 79, 60, 84, 64, 88, 70, 94, 59, 83, 62, 86)
	L = (1, 52)(2, 57)(3, 62)(4, 55)(5, 68)(6, 69)(7, 49)(8, 70)(9, 59)(10, 54)(11, 50)(12, 66)(13, 65)(14, 63)(15, 51)(16, 53)(17, 71)(18, 67)(19, 60)(20, 64)(21, 58)(22, 72)(23, 61)(24, 56)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.191
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 6^8, 12^4 ]

E11.190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, R * Y1^-1 * Y2 * Y1 * Y2 * R * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 8, 32, 4, 28, 5, 29)(3, 27, 9, 33, 12, 36, 20, 44, 10, 34, 11, 35)(7, 31, 16, 40, 19, 43, 13, 37, 17, 41, 18, 42)(14, 38, 23, 47, 21, 45, 15, 39, 24, 48, 22, 46)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 61, 85)(53, 77, 62, 86)(54, 78, 63, 87)(56, 80, 68, 92)(57, 81, 69, 93)(58, 82, 70, 94)(59, 83, 65, 89)(60, 84, 64, 88)(66, 90, 71, 95)(67, 91, 72, 96)
	L = (1, 52)(2, 53)(3, 58)(4, 54)(5, 56)(6, 49)(7, 65)(8, 50)(9, 59)(10, 60)(11, 68)(12, 51)(13, 64)(14, 72)(15, 71)(16, 66)(17, 67)(18, 61)(19, 55)(20, 57)(21, 62)(22, 63)(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) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.188
Graph:: bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, Y3 * Y2 * Y1^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y1^6, (Y2 * Y3^-1)^3, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 19, 43, 15, 39, 5, 29)(3, 27, 11, 35, 6, 30, 16, 40, 24, 48, 13, 37)(4, 28, 14, 38, 21, 45, 8, 32, 18, 42, 10, 34)(9, 33, 22, 46, 17, 41, 20, 44, 23, 47, 12, 36)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 63, 87)(53, 77, 57, 81)(54, 78, 66, 90)(55, 79, 68, 92)(58, 82, 71, 95)(59, 83, 65, 89)(60, 84, 72, 96)(61, 85, 62, 86)(64, 88, 67, 91)(69, 93, 70, 94)
	L = (1, 52)(2, 57)(3, 60)(4, 54)(5, 64)(6, 49)(7, 51)(8, 61)(9, 58)(10, 50)(11, 62)(12, 55)(13, 67)(14, 71)(15, 68)(16, 65)(17, 53)(18, 70)(19, 56)(20, 69)(21, 63)(22, 72)(23, 59)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.189
Graph:: bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2^-1 * Y1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, R * Y2^-1 * R * Y2^-2 * Y1, Y2^6, Y1^-1 * Y2^2 * Y1 * Y2^-1 * Y1^-1, Y2^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 16, 40, 12, 36, 4, 28)(3, 27, 9, 33, 20, 44, 15, 39, 21, 45, 8, 32)(5, 29, 11, 35, 23, 47, 10, 34, 17, 41, 14, 38)(7, 31, 19, 43, 13, 37, 22, 46, 24, 48, 18, 42)(49, 73, 51, 75, 58, 82, 64, 88, 63, 87, 53, 77)(50, 74, 55, 79, 68, 92, 60, 84, 70, 94, 56, 80)(52, 76, 59, 83, 66, 90, 54, 78, 65, 89, 61, 85)(57, 81, 67, 91, 62, 86, 69, 93, 72, 96, 71, 95)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 59)(6, 64)(7, 67)(8, 51)(9, 68)(10, 65)(11, 71)(12, 52)(13, 70)(14, 53)(15, 69)(16, 60)(17, 62)(18, 55)(19, 61)(20, 63)(21, 56)(22, 72)(23, 58)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.187
Graph:: bipartite
	v = 8 e = 48 f = 20
	degree seq :: [ 12^8 ]

E11.193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y2^3, (Y1 * Y2^-1)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y3 * Y1 * Y3^-1, (Y2 * Y3^-2)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 13, 37)(5, 29, 7, 31)(6, 30, 17, 41)(8, 32, 14, 38)(10, 34, 16, 40)(11, 35, 18, 42)(12, 36, 19, 43)(15, 39, 20, 44)(21, 45, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 62, 86, 59, 83)(54, 78, 64, 88, 60, 84)(56, 80, 61, 85, 66, 90)(58, 82, 65, 89, 67, 91)(63, 87, 69, 93, 71, 95)(68, 92, 72, 96, 70, 94)
	L = (1, 52)(2, 56)(3, 59)(4, 63)(5, 62)(6, 49)(7, 66)(8, 68)(9, 61)(10, 50)(11, 69)(12, 51)(13, 70)(14, 71)(15, 54)(16, 53)(17, 57)(18, 72)(19, 55)(20, 58)(21, 60)(22, 65)(23, 64)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.199
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y2^3, (Y2 * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y2 * Y3 * Y2, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1, (Y2^-1 * Y3^-2)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 13, 37)(5, 29, 7, 31)(6, 30, 17, 41)(8, 32, 11, 35)(10, 34, 12, 36)(14, 38, 18, 42)(15, 39, 19, 43)(16, 40, 20, 44)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 62, 86, 59, 83)(54, 78, 64, 88, 60, 84)(56, 80, 66, 90, 61, 85)(58, 82, 68, 92, 65, 89)(63, 87, 69, 93, 71, 95)(67, 91, 70, 94, 72, 96)
	L = (1, 52)(2, 56)(3, 59)(4, 63)(5, 62)(6, 49)(7, 61)(8, 67)(9, 66)(10, 50)(11, 69)(12, 51)(13, 70)(14, 71)(15, 54)(16, 53)(17, 55)(18, 72)(19, 58)(20, 57)(21, 60)(22, 65)(23, 64)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.200
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y3^2, Y1^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4, Y3 * Y2^-1 * Y3 * Y2 * Y1, Y3 * Y1^-1 * Y2 * Y3 * Y2^-1, R * Y2 * Y1 * R * Y2, Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 7, 31)(4, 28, 13, 37, 8, 32)(6, 30, 16, 40, 9, 33)(11, 35, 18, 42, 21, 45)(12, 36, 19, 43, 14, 38)(15, 39, 17, 41, 20, 44)(22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 62, 86, 70, 94, 63, 87)(53, 77, 58, 82, 69, 93, 64, 88)(56, 80, 60, 84, 71, 95, 65, 89)(61, 85, 67, 91, 72, 96, 68, 92)
	L = (1, 52)(2, 56)(3, 60)(4, 49)(5, 61)(6, 65)(7, 67)(8, 50)(9, 68)(10, 62)(11, 70)(12, 51)(13, 53)(14, 58)(15, 64)(16, 63)(17, 54)(18, 71)(19, 55)(20, 57)(21, 72)(22, 59)(23, 66)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.197
Graph:: simple bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y3^2, Y1^3, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y2^4, R * Y2 * R * Y1 * Y2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2, Y1^-2 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 7, 31)(4, 28, 13, 37, 8, 32)(6, 30, 16, 40, 9, 33)(11, 35, 18, 42, 21, 45)(12, 36, 14, 38, 19, 43)(15, 39, 20, 44, 17, 41)(22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 62, 86, 70, 94, 63, 87)(53, 77, 58, 82, 69, 93, 64, 88)(56, 80, 67, 91, 72, 96, 68, 92)(60, 84, 71, 95, 65, 89, 61, 85)
	L = (1, 52)(2, 56)(3, 60)(4, 49)(5, 61)(6, 65)(7, 62)(8, 50)(9, 63)(10, 67)(11, 70)(12, 51)(13, 53)(14, 55)(15, 57)(16, 68)(17, 54)(18, 72)(19, 58)(20, 64)(21, 71)(22, 59)(23, 69)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.198
Graph:: simple bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y3 * Y1^-1 * Y2 * Y1, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y3, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2, (Y2 * Y1^-2)^2, Y3 * Y2 * Y1^-4, (R * Y2 * Y3)^2, (Y1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 16, 40, 12, 36, 22, 46, 24, 48, 23, 47, 9, 33, 19, 43, 15, 39, 5, 29)(3, 27, 8, 32, 21, 45, 14, 38, 20, 44, 7, 31, 18, 42, 13, 37, 4, 28, 11, 35, 17, 41, 10, 34)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 60, 84)(53, 77, 61, 85)(54, 78, 65, 89)(56, 80, 70, 94)(57, 81, 68, 92)(58, 82, 71, 95)(59, 83, 67, 91)(62, 86, 64, 88)(63, 87, 69, 93)(66, 90, 72, 96)
	L = (1, 52)(2, 56)(3, 57)(4, 49)(5, 62)(6, 66)(7, 67)(8, 50)(9, 51)(10, 64)(11, 70)(12, 68)(13, 71)(14, 53)(15, 65)(16, 58)(17, 63)(18, 54)(19, 55)(20, 60)(21, 72)(22, 59)(23, 61)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E11.195
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y1 * Y2 * Y1^-1 * Y3, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, (R * Y2 * Y3)^2, (Y2 * Y1^-2)^2, Y2 * Y1^2 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2, Y1^-3 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 16, 40, 10, 34, 20, 44, 24, 48, 23, 47, 12, 36, 21, 45, 15, 39, 5, 29)(3, 27, 9, 33, 18, 42, 13, 37, 4, 28, 7, 31, 19, 43, 14, 38, 22, 46, 8, 32, 17, 41, 11, 35)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 60, 84)(53, 77, 62, 86)(54, 78, 65, 89)(56, 80, 69, 93)(57, 81, 68, 92)(58, 82, 70, 94)(59, 83, 71, 95)(61, 85, 64, 88)(63, 87, 66, 90)(67, 91, 72, 96)
	L = (1, 52)(2, 56)(3, 58)(4, 49)(5, 59)(6, 66)(7, 68)(8, 50)(9, 69)(10, 51)(11, 53)(12, 70)(13, 71)(14, 64)(15, 67)(16, 62)(17, 72)(18, 54)(19, 63)(20, 55)(21, 57)(22, 60)(23, 61)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.196
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 * Y2 * Y1 * Y2^-1, Y2^2 * Y1 * Y3^-1, (Y2 * Y1^-1)^2, Y3^-1 * Y1 * Y2^-2, Y3^-2 * Y1^2, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2^3 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 19, 43, 11, 35)(4, 28, 17, 41, 7, 31, 14, 38)(6, 30, 18, 42, 20, 44, 9, 33)(10, 34, 24, 48, 12, 36, 21, 45)(15, 39, 22, 46, 16, 40, 23, 47)(49, 73, 51, 75, 62, 86, 71, 95, 58, 82, 68, 92, 56, 80, 67, 91, 65, 89, 70, 94, 60, 84, 54, 78)(50, 74, 57, 81, 69, 93, 63, 87, 55, 79, 61, 85, 53, 77, 66, 90, 72, 96, 64, 88, 52, 76, 59, 83)
	L = (1, 52)(2, 58)(3, 63)(4, 56)(5, 60)(6, 61)(7, 49)(8, 55)(9, 70)(10, 53)(11, 54)(12, 50)(13, 68)(14, 72)(15, 67)(16, 51)(17, 69)(18, 71)(19, 64)(20, 59)(21, 62)(22, 66)(23, 57)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.193
Graph:: bipartite
	v = 8 e = 48 f = 20
	degree seq :: [ 8^6, 24^2 ]

E11.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 * Y2^-2 * Y1^-1, Y3^2 * Y1^2, Y1 * Y2 * Y3 * Y2^-1, Y2^-2 * Y1 * Y3^-1, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y2 * Y1^-1)^2, Y1^4, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y2^10 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 19, 43, 11, 35)(4, 28, 15, 39, 7, 31, 17, 41)(6, 30, 14, 38, 20, 44, 9, 33)(10, 34, 21, 45, 12, 36, 23, 47)(16, 40, 22, 46, 18, 42, 24, 48)(49, 73, 51, 75, 60, 84, 72, 96, 63, 87, 68, 92, 56, 80, 67, 91, 58, 82, 70, 94, 65, 89, 54, 78)(50, 74, 57, 81, 52, 76, 64, 88, 69, 93, 61, 85, 53, 77, 62, 86, 55, 79, 66, 90, 71, 95, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 66)(7, 49)(8, 55)(9, 51)(10, 53)(11, 72)(12, 50)(13, 70)(14, 67)(15, 71)(16, 54)(17, 69)(18, 68)(19, 57)(20, 64)(21, 63)(22, 59)(23, 65)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.194
Graph:: bipartite
	v = 8 e = 48 f = 20
	degree seq :: [ 8^6, 24^2 ]

E11.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y3^-4 * Y2, (Y3^-2 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 17, 41)(12, 36, 18, 42)(13, 37, 19, 43)(14, 38, 20, 44)(15, 39, 21, 45)(16, 40, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 59, 83, 62, 86)(54, 78, 60, 84, 63, 87)(56, 80, 65, 89, 68, 92)(58, 82, 66, 90, 69, 93)(61, 85, 71, 95, 64, 88)(67, 91, 72, 96, 70, 94)
	L = (1, 52)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 65)(8, 67)(9, 68)(10, 50)(11, 71)(12, 51)(13, 60)(14, 64)(15, 53)(16, 54)(17, 72)(18, 55)(19, 66)(20, 70)(21, 57)(22, 58)(23, 63)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.204
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2, Y3), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 13, 37)(4, 28, 9, 33, 7, 31)(6, 30, 10, 34, 16, 40)(11, 35, 18, 42, 22, 46)(12, 36, 19, 43, 14, 38)(15, 39, 20, 44, 17, 41)(21, 45, 24, 48, 23, 47)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 56, 80, 66, 90, 58, 82)(52, 76, 60, 84, 69, 93, 63, 87)(53, 77, 61, 85, 70, 94, 64, 88)(55, 79, 62, 86, 71, 95, 65, 89)(57, 81, 67, 91, 72, 96, 68, 92)
	L = (1, 52)(2, 57)(3, 60)(4, 50)(5, 55)(6, 63)(7, 49)(8, 67)(9, 53)(10, 68)(11, 69)(12, 56)(13, 62)(14, 51)(15, 58)(16, 65)(17, 54)(18, 72)(19, 61)(20, 64)(21, 66)(22, 71)(23, 59)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.203
Graph:: simple bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 6^8, 8^6 ]

E11.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-3 * Y2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^2 * Y1^-4, (Y1^-1 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 17, 41, 13, 37, 22, 46, 24, 48, 23, 47, 11, 35, 21, 45, 15, 39, 5, 29)(3, 27, 8, 32, 18, 42, 16, 40, 6, 30, 10, 34, 20, 44, 14, 38, 4, 28, 9, 33, 19, 43, 12, 36)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 59, 83)(53, 77, 60, 84)(54, 78, 61, 85)(55, 79, 66, 90)(57, 81, 69, 93)(58, 82, 70, 94)(62, 86, 71, 95)(63, 87, 67, 91)(64, 88, 65, 89)(68, 92, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 61)(5, 62)(6, 49)(7, 67)(8, 69)(9, 70)(10, 50)(11, 54)(12, 71)(13, 51)(14, 65)(15, 68)(16, 53)(17, 60)(18, 63)(19, 72)(20, 55)(21, 58)(22, 56)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E11.202
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y2 * Y1^-1 * Y3 * Y2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, (Y3, Y2^-1), (Y3 * Y2^-1)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3^-1 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 18, 42, 13, 37)(4, 28, 10, 34, 19, 43, 15, 39)(6, 30, 11, 35, 20, 44, 16, 40)(7, 31, 12, 36, 21, 45, 17, 41)(14, 38, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 60, 84, 70, 94, 58, 82, 68, 92, 56, 80, 66, 90, 65, 89, 71, 95, 63, 87, 54, 78)(50, 74, 57, 81, 69, 93, 72, 96, 67, 91, 64, 88, 53, 77, 61, 85, 55, 79, 62, 86, 52, 76, 59, 83)
	L = (1, 52)(2, 58)(3, 59)(4, 60)(5, 63)(6, 62)(7, 49)(8, 67)(9, 68)(10, 69)(11, 70)(12, 50)(13, 54)(14, 51)(15, 55)(16, 71)(17, 53)(18, 64)(19, 65)(20, 72)(21, 56)(22, 57)(23, 61)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.201
Graph:: bipartite
	v = 8 e = 48 f = 20
	degree seq :: [ 8^6, 24^2 ]

E11.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-3, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 16, 40)(12, 36, 17, 41)(13, 37, 18, 42)(14, 38, 19, 43)(15, 39, 20, 44)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 60, 84, 69, 93, 63, 87)(54, 78, 61, 85, 70, 94, 62, 86)(56, 80, 65, 89, 71, 95, 68, 92)(58, 82, 66, 90, 72, 96, 67, 91)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 63)(6, 49)(7, 65)(8, 67)(9, 68)(10, 50)(11, 69)(12, 54)(13, 51)(14, 53)(15, 70)(16, 71)(17, 58)(18, 55)(19, 57)(20, 72)(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) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.206
Graph:: simple bipartite
	v = 18 e = 48 f = 10
	degree seq :: [ 4^12, 8^6 ]

E11.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y2, Y3), (R * Y2)^2, Y2^4 * Y1, (Y2^-1 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 13, 37)(4, 28, 9, 33, 7, 31)(6, 30, 10, 34, 16, 40)(11, 35, 17, 41, 21, 45)(12, 36, 19, 43, 14, 38)(15, 39, 20, 44, 18, 42)(22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 59, 83, 64, 88, 53, 77, 61, 85, 69, 93, 58, 82, 50, 74, 56, 80, 65, 89, 54, 78)(52, 76, 60, 84, 70, 94, 66, 90, 55, 79, 62, 86, 71, 95, 68, 92, 57, 81, 67, 91, 72, 96, 63, 87)
	L = (1, 52)(2, 57)(3, 60)(4, 50)(5, 55)(6, 63)(7, 49)(8, 67)(9, 53)(10, 68)(11, 70)(12, 56)(13, 62)(14, 51)(15, 58)(16, 66)(17, 72)(18, 54)(19, 61)(20, 64)(21, 71)(22, 65)(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, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.205
Graph:: bipartite
	v = 10 e = 48 f = 18
	degree seq :: [ 6^8, 24^2 ]

E11.207 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
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 * Y1)^2, R * Y2 * R * Y3, Y1^-2 * Y2 * Y1^2 * Y2, (Y2 * Y1^-1 * Y2 * Y1)^2, (Y1^-3 * Y2)^2 ]
Map::
	R = (1, 26, 2, 29, 5, 35, 11, 44, 20, 40, 16, 48, 24, 39, 15, 47, 23, 43, 19, 34, 10, 28, 4, 25)(3, 31, 7, 36, 12, 46, 22, 42, 18, 33, 9, 38, 14, 30, 6, 37, 13, 45, 21, 41, 17, 32, 8, 27)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 20)(19, 22)(25, 27)(26, 30)(28, 33)(29, 36)(31, 39)(32, 40)(34, 41)(35, 45)(37, 47)(38, 48)(42, 44)(43, 46)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.208 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
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, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-2 * Y2)^2, Y2 * Y1^5 * Y2 * Y1^-1, (Y2 * Y1^-1)^4 ]
Map::
	R = (1, 26, 2, 29, 5, 35, 11, 44, 20, 40, 16, 47, 23, 41, 17, 48, 24, 43, 19, 34, 10, 28, 4, 25)(3, 31, 7, 39, 15, 45, 21, 38, 14, 30, 6, 37, 13, 33, 9, 42, 18, 46, 22, 36, 12, 32, 8, 27)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 20)(19, 22)(25, 27)(26, 30)(28, 33)(29, 36)(31, 40)(32, 41)(34, 39)(35, 45)(37, 47)(38, 48)(42, 44)(43, 46)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.209 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y3 * Y1 * Y2 * Y1, (R * Y1)^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^-6 ]
Map:: non-degenerate
	R = (1, 26, 2, 30, 6, 37, 13, 45, 21, 42, 18, 34, 10, 40, 16, 48, 24, 44, 20, 36, 12, 29, 5, 25)(3, 33, 9, 41, 17, 46, 22, 39, 15, 31, 7, 28, 4, 35, 11, 43, 19, 47, 23, 38, 14, 32, 8, 27)
	L = (1, 3)(2, 7)(4, 10)(5, 11)(6, 14)(8, 16)(9, 18)(12, 17)(13, 22)(15, 24)(19, 21)(20, 23)(25, 28)(26, 32)(27, 34)(29, 33)(30, 39)(31, 40)(35, 42)(36, 43)(37, 47)(38, 48)(41, 45)(44, 46)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.210 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y1, (Y3^-1 * Y1 * Y3^-2)^2, (Y3^-1 * Y1 * Y3 * Y1)^2 ]
Map::
	R = (1, 25, 3, 27, 8, 32, 17, 41, 23, 47, 13, 37, 21, 45, 11, 35, 20, 44, 19, 43, 10, 34, 4, 28)(2, 26, 5, 29, 12, 36, 22, 46, 18, 42, 9, 33, 16, 40, 7, 31, 15, 39, 24, 48, 14, 38, 6, 30)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 60)(58, 62)(63, 68)(64, 69)(65, 72)(66, 71)(67, 70)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 84)(82, 86)(87, 92)(88, 93)(89, 96)(90, 95)(91, 94)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E11.216
Graph:: simple bipartite
	v = 26 e = 48 f = 2
	degree seq :: [ 2^24, 24^2 ]

E11.211 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
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 * Y1, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-2 * Y1)^2, Y3^5 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1)^4 ]
Map::
	R = (1, 25, 3, 27, 8, 32, 17, 41, 21, 45, 11, 35, 20, 44, 13, 37, 23, 47, 19, 43, 10, 34, 4, 28)(2, 26, 5, 29, 12, 36, 22, 46, 16, 40, 7, 31, 15, 39, 9, 33, 18, 42, 24, 48, 14, 38, 6, 30)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 62)(58, 60)(63, 68)(64, 71)(65, 70)(66, 69)(67, 72)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 86)(82, 84)(87, 92)(88, 95)(89, 94)(90, 93)(91, 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 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E11.217
Graph:: simple bipartite
	v = 26 e = 48 f = 2
	degree seq :: [ 2^24, 24^2 ]

E11.212 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, Y3^-1 * Y1 * Y3^5 * Y1 ]
Map::
	R = (1, 25, 4, 28, 11, 35, 19, 43, 22, 46, 14, 38, 6, 30, 13, 37, 21, 45, 20, 44, 12, 36, 5, 29)(2, 26, 7, 31, 15, 39, 23, 47, 18, 42, 10, 34, 3, 27, 9, 33, 17, 41, 24, 48, 16, 40, 8, 32)(49, 50)(51, 54)(52, 58)(53, 57)(55, 62)(56, 61)(59, 64)(60, 63)(65, 70)(66, 69)(67, 71)(68, 72)(73, 75)(74, 78)(76, 80)(77, 79)(81, 86)(82, 85)(83, 90)(84, 89)(87, 94)(88, 93)(91, 96)(92, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E11.218
Graph:: simple bipartite
	v = 26 e = 48 f = 2
	degree seq :: [ 2^24, 24^2 ]

E11.213 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = C2 x C4 x S3 (small group id <48, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-2, Y3 * Y1 * Y2^-2 * Y3 * Y1^-3, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 4, 28)(2, 26, 6, 30)(3, 27, 8, 32)(5, 29, 12, 36)(7, 31, 16, 40)(9, 33, 18, 42)(10, 34, 19, 43)(11, 35, 21, 45)(13, 37, 23, 47)(14, 38, 24, 48)(15, 39, 22, 46)(17, 41, 20, 44)(49, 50, 53, 59, 68, 66, 71, 67, 72, 63, 55, 51)(52, 57, 64, 69, 62, 54, 61, 56, 65, 70, 60, 58)(73, 75, 79, 87, 96, 91, 95, 90, 92, 83, 77, 74)(76, 82, 84, 94, 89, 80, 85, 78, 86, 93, 88, 81)
	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 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.219
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.214 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
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^-2 * Y2^-2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3, (Y1, Y2^-1), Y1^-3 * Y2^3, (Y3 * Y2^-2)^2, Y1^12, Y2^12 ]
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, 61, 51, 56, 54, 58, 66, 59, 53)(52, 60, 69, 71, 68, 57, 67, 63, 70, 72, 65, 62)(73, 75, 83, 88, 82, 74, 80, 77, 85, 90, 79, 78)(76, 81, 89, 95, 94, 84, 91, 86, 92, 96, 93, 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 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.220
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.215 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1^-1), (Y3 * Y1)^2, Y1^-2 * Y2^-2, R * Y1 * R * Y2, (Y2^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2^5 * Y1^-1, Y1^-2 * Y2 * Y1^-3 ]
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, 61, 51, 56, 54, 58, 66, 59, 53)(52, 62, 69, 72, 68, 63, 67, 60, 70, 71, 65, 57)(73, 75, 83, 88, 82, 74, 80, 77, 85, 90, 79, 78)(76, 87, 89, 96, 94, 86, 91, 81, 92, 95, 93, 84)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.221
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.216 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y1, (Y3^-1 * Y1 * Y3^-2)^2, (Y3^-1 * Y1 * Y3 * Y1)^2 ]
Map::
	R = (1, 25, 49, 73, 3, 27, 51, 75, 8, 32, 56, 80, 17, 41, 65, 89, 23, 47, 71, 95, 13, 37, 61, 85, 21, 45, 69, 93, 11, 35, 59, 83, 20, 44, 68, 92, 19, 43, 67, 91, 10, 34, 58, 82, 4, 28, 52, 76)(2, 26, 50, 74, 5, 29, 53, 77, 12, 36, 60, 84, 22, 46, 70, 94, 18, 42, 66, 90, 9, 33, 57, 81, 16, 40, 64, 88, 7, 31, 55, 79, 15, 39, 63, 87, 24, 48, 72, 96, 14, 38, 62, 86, 6, 30, 54, 78)
	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, 44)(16, 45)(17, 48)(18, 47)(19, 46)(20, 39)(21, 40)(22, 43)(23, 42)(24, 41)(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, 92)(64, 93)(65, 96)(66, 95)(67, 94)(68, 87)(69, 88)(70, 91)(71, 90)(72, 89)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.210
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 26
	degree seq :: [ 48^2 ]

E11.217 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
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 * Y1, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-2 * Y1)^2, Y3^5 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1)^4 ]
Map::
	R = (1, 25, 49, 73, 3, 27, 51, 75, 8, 32, 56, 80, 17, 41, 65, 89, 21, 45, 69, 93, 11, 35, 59, 83, 20, 44, 68, 92, 13, 37, 61, 85, 23, 47, 71, 95, 19, 43, 67, 91, 10, 34, 58, 82, 4, 28, 52, 76)(2, 26, 50, 74, 5, 29, 53, 77, 12, 36, 60, 84, 22, 46, 70, 94, 16, 40, 64, 88, 7, 31, 55, 79, 15, 39, 63, 87, 9, 33, 57, 81, 18, 42, 66, 90, 24, 48, 72, 96, 14, 38, 62, 86, 6, 30, 54, 78)
	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, 44)(16, 47)(17, 46)(18, 45)(19, 48)(20, 39)(21, 42)(22, 41)(23, 40)(24, 43)(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, 92)(64, 95)(65, 94)(66, 93)(67, 96)(68, 87)(69, 90)(70, 89)(71, 88)(72, 91)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.211
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 26
	degree seq :: [ 48^2 ]

E11.218 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, Y3^-1 * Y1 * Y3^5 * Y1 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 11, 35, 59, 83, 19, 43, 67, 91, 22, 46, 70, 94, 14, 38, 62, 86, 6, 30, 54, 78, 13, 37, 61, 85, 21, 45, 69, 93, 20, 44, 68, 92, 12, 36, 60, 84, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 15, 39, 63, 87, 23, 47, 71, 95, 18, 42, 66, 90, 10, 34, 58, 82, 3, 27, 51, 75, 9, 33, 57, 81, 17, 41, 65, 89, 24, 48, 72, 96, 16, 40, 64, 88, 8, 32, 56, 80)
	L = (1, 26)(2, 25)(3, 30)(4, 34)(5, 33)(6, 27)(7, 38)(8, 37)(9, 29)(10, 28)(11, 40)(12, 39)(13, 32)(14, 31)(15, 36)(16, 35)(17, 46)(18, 45)(19, 47)(20, 48)(21, 42)(22, 41)(23, 43)(24, 44)(49, 75)(50, 78)(51, 73)(52, 80)(53, 79)(54, 74)(55, 77)(56, 76)(57, 86)(58, 85)(59, 90)(60, 89)(61, 82)(62, 81)(63, 94)(64, 93)(65, 84)(66, 83)(67, 96)(68, 95)(69, 88)(70, 87)(71, 92)(72, 91)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.212
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 26
	degree seq :: [ 48^2 ]

E11.219 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = C2 x C4 x S3 (small group id <48, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-2, Y3 * Y1 * Y2^-2 * Y3 * Y1^-3, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^12, Y2^12 ]
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, 16, 40, 64, 88)(9, 33, 57, 81, 18, 42, 66, 90)(10, 34, 58, 82, 19, 43, 67, 91)(11, 35, 59, 83, 21, 45, 69, 93)(13, 37, 61, 85, 23, 47, 71, 95)(14, 38, 62, 86, 24, 48, 72, 96)(15, 39, 63, 87, 22, 46, 70, 94)(17, 41, 65, 89, 20, 44, 68, 92)
	L = (1, 26)(2, 29)(3, 25)(4, 33)(5, 35)(6, 37)(7, 27)(8, 41)(9, 40)(10, 28)(11, 44)(12, 34)(13, 32)(14, 30)(15, 31)(16, 45)(17, 46)(18, 47)(19, 48)(20, 42)(21, 38)(22, 36)(23, 43)(24, 39)(49, 75)(50, 73)(51, 79)(52, 82)(53, 74)(54, 86)(55, 87)(56, 85)(57, 76)(58, 84)(59, 77)(60, 94)(61, 78)(62, 93)(63, 96)(64, 81)(65, 80)(66, 92)(67, 95)(68, 83)(69, 88)(70, 89)(71, 90)(72, 91)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.213
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.220 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
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^-2 * Y2^-2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3, (Y1, Y2^-1), Y1^-3 * Y2^3, (Y3 * Y2^-2)^2, Y1^12, Y2^12 ]
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, 37)(17, 38)(18, 35)(19, 39)(20, 33)(21, 47)(22, 48)(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, 88)(60, 91)(61, 90)(62, 92)(63, 76)(64, 82)(65, 95)(66, 79)(67, 86)(68, 96)(69, 87)(70, 84)(71, 94)(72, 93)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.214
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.221 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1^-1), (Y3 * Y1)^2, Y1^-2 * Y2^-2, R * Y1 * R * Y2, (Y2^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2^5 * Y1^-1, Y1^-2 * Y2 * Y1^-3 ]
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, 37)(17, 33)(18, 35)(19, 36)(20, 39)(21, 48)(22, 47)(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, 88)(60, 76)(61, 90)(62, 91)(63, 89)(64, 82)(65, 96)(66, 79)(67, 81)(68, 95)(69, 84)(70, 86)(71, 93)(72, 94)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.215
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, 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 * Y1 * Y2^2)^2, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^12 ]
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, 20, 44)(16, 40, 21, 45)(17, 41, 24, 48)(18, 42, 23, 47)(19, 43, 22, 46)(49, 73, 51, 75, 56, 80, 65, 89, 71, 95, 61, 85, 69, 93, 59, 83, 68, 92, 67, 91, 58, 82, 52, 76)(50, 74, 53, 77, 60, 84, 70, 94, 66, 90, 57, 81, 64, 88, 55, 79, 63, 87, 72, 96, 62, 86, 54, 78)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y2^3 * Y1 * Y2^-3 * Y1, (Y2 * Y1)^4, (Y3 * Y2^-1)^12 ]
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, 20, 44)(16, 40, 23, 47)(17, 41, 22, 46)(18, 42, 21, 45)(19, 43, 24, 48)(49, 73, 51, 75, 56, 80, 65, 89, 69, 93, 59, 83, 68, 92, 61, 85, 71, 95, 67, 91, 58, 82, 52, 76)(50, 74, 53, 77, 60, 84, 70, 94, 64, 88, 55, 79, 63, 87, 57, 81, 66, 90, 72, 96, 62, 86, 54, 78)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ 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^-1 * Y3 * Y1 * Y2 * Y1, Y2^6 * Y3, (Y2^-3 * Y1)^2 ]
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, 24, 48)(20, 44, 21, 45)(22, 46, 23, 47)(49, 73, 51, 75, 58, 82, 66, 90, 68, 92, 60, 84, 52, 76, 59, 83, 67, 91, 70, 94, 62, 86, 53, 77)(50, 74, 54, 78, 63, 87, 71, 95, 69, 93, 61, 85, 55, 79, 57, 81, 65, 89, 72, 96, 64, 88, 56, 80)
	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, 70)(19, 58)(20, 62)(21, 64)(22, 66)(23, 72)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 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^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y2^-6 * Y3, Y2^3 * Y1 * Y2^-3 * Y1 ]
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, 68, 92, 60, 84, 52, 76, 59, 83, 67, 91, 70, 94, 62, 86, 53, 77)(50, 74, 54, 78, 63, 87, 71, 95, 65, 89, 57, 81, 55, 79, 61, 85, 69, 93, 72, 96, 64, 88, 56, 80)
	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, 70)(19, 58)(20, 62)(21, 63)(22, 66)(23, 72)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 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, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3 * Y2^4, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y2^2 * Y1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 10, 34)(5, 29, 16, 40)(6, 30, 8, 32)(7, 31, 14, 38)(9, 33, 15, 39)(12, 36, 21, 45)(13, 37, 20, 44)(17, 41, 19, 43)(18, 42, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 60, 84, 66, 90, 54, 78, 62, 86, 72, 96, 63, 87, 52, 76, 61, 85, 65, 89, 53, 77)(50, 74, 55, 79, 67, 91, 70, 94, 58, 82, 59, 83, 71, 95, 64, 88, 56, 80, 68, 92, 69, 93, 57, 81)
	L = (1, 52)(2, 56)(3, 61)(4, 54)(5, 63)(6, 49)(7, 68)(8, 58)(9, 64)(10, 50)(11, 55)(12, 65)(13, 62)(14, 51)(15, 66)(16, 70)(17, 72)(18, 53)(19, 69)(20, 59)(21, 71)(22, 57)(23, 67)(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, 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 selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 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, Y2 * Y3^-1 * Y2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 10, 34)(5, 29, 14, 38)(6, 30, 8, 32)(7, 31, 17, 41)(9, 33, 20, 44)(12, 36, 18, 42)(13, 37, 22, 46)(15, 39, 21, 45)(16, 40, 19, 43)(23, 47, 24, 48)(49, 73, 51, 75, 52, 76, 60, 84, 61, 85, 65, 89, 72, 96, 68, 92, 64, 88, 63, 87, 54, 78, 53, 77)(50, 74, 55, 79, 56, 80, 66, 90, 67, 91, 59, 83, 71, 95, 62, 86, 70, 94, 69, 93, 58, 82, 57, 81)
	L = (1, 52)(2, 56)(3, 60)(4, 61)(5, 51)(6, 49)(7, 66)(8, 67)(9, 55)(10, 50)(11, 62)(12, 65)(13, 72)(14, 69)(15, 53)(16, 54)(17, 68)(18, 59)(19, 71)(20, 63)(21, 57)(22, 58)(23, 70)(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, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.228 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (Y1^-1 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^12 ]
Map::
	R = (1, 26, 2, 29, 5, 33, 9, 37, 13, 41, 17, 45, 21, 44, 20, 40, 16, 36, 12, 32, 8, 28, 4, 25)(3, 31, 7, 35, 11, 39, 15, 43, 19, 47, 23, 48, 24, 46, 22, 42, 18, 38, 14, 34, 10, 30, 6, 27)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 24)(25, 27)(26, 30)(28, 31)(29, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 48)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.229 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1 * Y2 * Y1^-2 * Y3 * Y1, (Y3 * Y2)^3, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y1, Y3 * Y1^-8 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 30, 6, 38, 14, 36, 12, 42, 18, 47, 23, 44, 20, 34, 10, 41, 17, 37, 13, 29, 5, 25)(3, 33, 9, 43, 19, 48, 24, 45, 21, 46, 22, 40, 16, 32, 8, 28, 4, 35, 11, 39, 15, 31, 7, 27)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 14)(13, 19)(16, 23)(17, 24)(20, 22)(25, 28)(26, 32)(27, 34)(29, 35)(30, 40)(31, 41)(33, 44)(36, 45)(37, 39)(38, 46)(42, 48)(43, 47)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.230 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 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, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^12 ]
Map::
	R = (1, 25, 3, 27, 7, 31, 11, 35, 15, 39, 19, 43, 23, 47, 20, 44, 16, 40, 12, 36, 8, 32, 4, 28)(2, 26, 5, 29, 9, 33, 13, 37, 17, 41, 21, 45, 24, 48, 22, 46, 18, 42, 14, 38, 10, 34, 6, 30)(49, 50)(51, 54)(52, 53)(55, 58)(56, 57)(59, 62)(60, 61)(63, 66)(64, 65)(67, 70)(68, 69)(71, 72)(73, 74)(75, 78)(76, 77)(79, 82)(80, 81)(83, 86)(84, 85)(87, 90)(88, 89)(91, 94)(92, 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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E11.233
Graph:: simple bipartite
	v = 26 e = 48 f = 2
	degree seq :: [ 2^24, 24^2 ]

E11.231 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 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^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3^-3 * Y1 * Y3 * Y2, (Y2 * Y1)^3, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 25, 4, 28, 12, 36, 16, 40, 6, 30, 15, 39, 24, 48, 20, 44, 9, 33, 19, 43, 13, 37, 5, 29)(2, 26, 7, 31, 17, 41, 11, 35, 3, 27, 10, 34, 21, 45, 23, 47, 14, 38, 22, 46, 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, 89)(85, 93)(90, 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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E11.234
Graph:: simple bipartite
	v = 26 e = 48 f = 2
	degree seq :: [ 2^24, 24^2 ]

E11.232 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 4, 28)(2, 26, 6, 30)(3, 27, 8, 32)(5, 29, 10, 34)(7, 31, 12, 36)(9, 33, 14, 38)(11, 35, 16, 40)(13, 37, 18, 42)(15, 39, 20, 44)(17, 41, 22, 46)(19, 43, 23, 47)(21, 45, 24, 48)(49, 50, 53, 57, 61, 65, 69, 67, 63, 59, 55, 51)(52, 56, 60, 64, 68, 71, 72, 70, 66, 62, 58, 54)(73, 75, 79, 83, 87, 91, 93, 89, 85, 81, 77, 74)(76, 78, 82, 86, 90, 94, 96, 95, 92, 88, 84, 80)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.235
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.233 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 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, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^12 ]
Map::
	R = (1, 25, 49, 73, 3, 27, 51, 75, 7, 31, 55, 79, 11, 35, 59, 83, 15, 39, 63, 87, 19, 43, 67, 91, 23, 47, 71, 95, 20, 44, 68, 92, 16, 40, 64, 88, 12, 36, 60, 84, 8, 32, 56, 80, 4, 28, 52, 76)(2, 26, 50, 74, 5, 29, 53, 77, 9, 33, 57, 81, 13, 37, 61, 85, 17, 41, 65, 89, 21, 45, 69, 93, 24, 48, 72, 96, 22, 46, 70, 94, 18, 42, 66, 90, 14, 38, 62, 86, 10, 34, 58, 82, 6, 30, 54, 78)
	L = (1, 26)(2, 25)(3, 30)(4, 29)(5, 28)(6, 27)(7, 34)(8, 33)(9, 32)(10, 31)(11, 38)(12, 37)(13, 36)(14, 35)(15, 42)(16, 41)(17, 40)(18, 39)(19, 46)(20, 45)(21, 44)(22, 43)(23, 48)(24, 47)(49, 74)(50, 73)(51, 78)(52, 77)(53, 76)(54, 75)(55, 82)(56, 81)(57, 80)(58, 79)(59, 86)(60, 85)(61, 84)(62, 83)(63, 90)(64, 89)(65, 88)(66, 87)(67, 94)(68, 93)(69, 92)(70, 91)(71, 96)(72, 95)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E11.230
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 26
	degree seq :: [ 48^2 ]

E11.234 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 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^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3^-3 * Y1 * Y3 * Y2, (Y2 * Y1)^3, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 16, 40, 64, 88, 6, 30, 54, 78, 15, 39, 63, 87, 24, 48, 72, 96, 20, 44, 68, 92, 9, 33, 57, 81, 19, 43, 67, 91, 13, 37, 61, 85, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 17, 41, 65, 89, 11, 35, 59, 83, 3, 27, 51, 75, 10, 34, 58, 82, 21, 45, 69, 93, 23, 47, 71, 95, 14, 38, 62, 86, 22, 46, 70, 94, 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, 89)(61, 93)(62, 81)(63, 80)(64, 79)(65, 84)(66, 96)(67, 95)(68, 94)(69, 85)(70, 92)(71, 91)(72, 90)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.231
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 26
	degree seq :: [ 48^2 ]

E11.235 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^12, Y2^12 ]
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, 10, 34, 58, 82)(7, 31, 55, 79, 12, 36, 60, 84)(9, 33, 57, 81, 14, 38, 62, 86)(11, 35, 59, 83, 16, 40, 64, 88)(13, 37, 61, 85, 18, 42, 66, 90)(15, 39, 63, 87, 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, 29)(3, 25)(4, 32)(5, 33)(6, 28)(7, 27)(8, 36)(9, 37)(10, 30)(11, 31)(12, 40)(13, 41)(14, 34)(15, 35)(16, 44)(17, 45)(18, 38)(19, 39)(20, 47)(21, 43)(22, 42)(23, 48)(24, 46)(49, 75)(50, 73)(51, 79)(52, 78)(53, 74)(54, 82)(55, 83)(56, 76)(57, 77)(58, 86)(59, 87)(60, 80)(61, 81)(62, 90)(63, 91)(64, 84)(65, 85)(66, 94)(67, 93)(68, 88)(69, 89)(70, 96)(71, 92)(72, 95)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.232
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26)(3, 27, 5, 29)(4, 28, 6, 30)(7, 31, 9, 33)(8, 32, 10, 34)(11, 35, 13, 37)(12, 36, 14, 38)(15, 39, 17, 41)(16, 40, 18, 42)(19, 43, 21, 45)(20, 44, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 55, 79, 59, 83, 63, 87, 67, 91, 71, 95, 68, 92, 64, 88, 60, 84, 56, 80, 52, 76)(50, 74, 53, 77, 57, 81, 61, 85, 65, 89, 69, 93, 72, 96, 70, 94, 66, 90, 62, 86, 58, 82, 54, 78)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26)(3, 27, 6, 30)(4, 28, 5, 29)(7, 31, 10, 34)(8, 32, 9, 33)(11, 35, 14, 38)(12, 36, 13, 37)(15, 39, 18, 42)(16, 40, 17, 41)(19, 43, 22, 46)(20, 44, 21, 45)(23, 47, 24, 48)(49, 73, 51, 75, 55, 79, 59, 83, 63, 87, 67, 91, 71, 95, 68, 92, 64, 88, 60, 84, 56, 80, 52, 76)(50, 74, 53, 77, 57, 81, 61, 85, 65, 89, 69, 93, 72, 96, 70, 94, 66, 90, 62, 86, 58, 82, 54, 78)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y3^2, R^2, (Y2^-1 * R)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^6 * 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, 21, 45)(19, 43, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 64, 88, 56, 80, 50, 74, 54, 78, 61, 85, 68, 92, 60, 84, 53, 77)(52, 76, 58, 82, 66, 90, 71, 95, 70, 94, 63, 87, 55, 79, 62, 86, 69, 93, 72, 96, 67, 91, 59, 83)
	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, 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 E11.239
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y2^-1 * R)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1, Y2 * Y3 * Y2^5 * 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, 21, 45)(18, 42, 22, 46)(19, 43, 23, 47)(20, 44, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 71, 95, 63, 87, 55, 79, 62, 86, 70, 94, 68, 92, 60, 84, 53, 77)(50, 74, 54, 78, 61, 85, 69, 93, 67, 91, 59, 83, 52, 76, 58, 82, 66, 90, 72, 96, 64, 88, 56, 80)
	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, 70)(14, 54)(15, 56)(16, 71)(17, 72)(18, 57)(19, 60)(20, 69)(21, 68)(22, 61)(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, 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 E11.238
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ 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 * Y3 ]
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, 21, 45)(18, 42, 22, 46)(19, 43, 23, 47)(20, 44, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 67, 91, 59, 83, 52, 76, 58, 82, 66, 90, 68, 92, 60, 84, 53, 77)(50, 74, 54, 78, 61, 85, 69, 93, 71, 95, 63, 87, 55, 79, 62, 86, 70, 94, 72, 96, 64, 88, 56, 80)
	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, 70)(14, 54)(15, 56)(16, 71)(17, 68)(18, 57)(19, 60)(20, 65)(21, 72)(22, 61)(23, 64)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|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^-1 * Y1)^2, Y2^6 * Y3 ]
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, 24, 48)(18, 42, 23, 47)(19, 43, 22, 46)(20, 44, 21, 45)(49, 73, 51, 75, 57, 81, 65, 89, 67, 91, 59, 83, 52, 76, 58, 82, 66, 90, 68, 92, 60, 84, 53, 77)(50, 74, 54, 78, 61, 85, 69, 93, 71, 95, 63, 87, 55, 79, 62, 86, 70, 94, 72, 96, 64, 88, 56, 80)
	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, 70)(14, 54)(15, 56)(16, 71)(17, 68)(18, 57)(19, 60)(20, 65)(21, 72)(22, 61)(23, 64)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 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, Y2), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, Y3 * Y2^4, (Y2^-1 * Y3)^12 ]
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, 21, 45)(12, 36, 22, 46)(13, 37, 20, 44)(14, 38, 19, 43)(15, 39, 17, 41)(16, 40, 18, 42)(23, 47, 24, 48)(49, 73, 51, 75, 59, 83, 64, 88, 54, 78, 61, 85, 71, 95, 62, 86, 52, 76, 60, 84, 63, 87, 53, 77)(50, 74, 55, 79, 65, 89, 70, 94, 58, 82, 67, 91, 72, 96, 68, 92, 56, 80, 66, 90, 69, 93, 57, 81)
	L = (1, 52)(2, 56)(3, 60)(4, 54)(5, 62)(6, 49)(7, 66)(8, 58)(9, 68)(10, 50)(11, 63)(12, 61)(13, 51)(14, 64)(15, 71)(16, 53)(17, 69)(18, 67)(19, 55)(20, 70)(21, 72)(22, 57)(23, 59)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 10, 34)(5, 29, 7, 31)(6, 30, 8, 32)(11, 35, 17, 41)(12, 36, 18, 42)(13, 37, 15, 39)(14, 38, 16, 40)(19, 43, 24, 48)(20, 44, 23, 47)(21, 45, 22, 46)(49, 73, 51, 75, 52, 76, 59, 83, 60, 84, 67, 91, 68, 92, 69, 93, 62, 86, 61, 85, 54, 78, 53, 77)(50, 74, 55, 79, 56, 80, 63, 87, 64, 88, 70, 94, 71, 95, 72, 96, 66, 90, 65, 89, 58, 82, 57, 81)
	L = (1, 52)(2, 56)(3, 59)(4, 60)(5, 51)(6, 49)(7, 63)(8, 64)(9, 55)(10, 50)(11, 67)(12, 68)(13, 53)(14, 54)(15, 70)(16, 71)(17, 57)(18, 58)(19, 69)(20, 62)(21, 61)(22, 72)(23, 66)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 48 f = 14
	degree seq :: [ 4^12, 24^2 ]

E11.244 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
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, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2^-2 * Y3, Y3 * Y2^3 * Y3 * Y1^-2 * Y2, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 4, 28)(2, 26, 6, 30)(3, 27, 8, 32)(5, 29, 12, 36)(7, 31, 16, 40)(9, 33, 18, 42)(10, 34, 19, 43)(11, 35, 21, 45)(13, 37, 23, 47)(14, 38, 24, 48)(15, 39, 22, 46)(17, 41, 20, 44)(49, 50, 53, 59, 68, 67, 72, 66, 71, 63, 55, 51)(52, 57, 60, 70, 65, 56, 62, 54, 61, 69, 64, 58)(73, 75, 79, 87, 95, 90, 96, 91, 92, 83, 77, 74)(76, 82, 88, 93, 85, 78, 86, 80, 89, 94, 84, 81)
	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 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.245
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.245 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
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, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2^-2 * Y3, Y3 * Y2^3 * Y3 * Y1^-2 * Y2, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^12, Y1^12 ]
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, 16, 40, 64, 88)(9, 33, 57, 81, 18, 42, 66, 90)(10, 34, 58, 82, 19, 43, 67, 91)(11, 35, 59, 83, 21, 45, 69, 93)(13, 37, 61, 85, 23, 47, 71, 95)(14, 38, 62, 86, 24, 48, 72, 96)(15, 39, 63, 87, 22, 46, 70, 94)(17, 41, 65, 89, 20, 44, 68, 92)
	L = (1, 26)(2, 29)(3, 25)(4, 33)(5, 35)(6, 37)(7, 27)(8, 38)(9, 36)(10, 28)(11, 44)(12, 46)(13, 45)(14, 30)(15, 31)(16, 34)(17, 32)(18, 47)(19, 48)(20, 43)(21, 40)(22, 41)(23, 39)(24, 42)(49, 75)(50, 73)(51, 79)(52, 82)(53, 74)(54, 86)(55, 87)(56, 89)(57, 76)(58, 88)(59, 77)(60, 81)(61, 78)(62, 80)(63, 95)(64, 93)(65, 94)(66, 96)(67, 92)(68, 83)(69, 85)(70, 84)(71, 90)(72, 91)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.244
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.246 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 24, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T1)^2, (F * T2)^2, T1^12 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 21, 24, 22, 23, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(25, 26, 30, 34, 38, 42, 46, 45, 41, 37, 33, 28)(27, 29, 31, 35, 39, 43, 47, 48, 44, 40, 36, 32)
	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) :: { ( 48^12 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E11.248
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 24 f = 1
	degree seq :: [ 12^2, 24 ]

E11.247 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 24, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2^-3, T1^3 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 14, 23, 18, 8, 2, 7, 17, 12, 4, 10, 20, 24, 22, 16, 6, 15, 13, 5)(25, 26, 30, 38, 44, 33, 41, 37, 42, 46, 35, 28)(27, 31, 39, 47, 48, 43, 36, 29, 32, 40, 45, 34)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 48^12 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E11.249
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 24 f = 1
	degree seq :: [ 12^2, 24 ]

E11.248 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 24, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T1)^2, (F * T2)^2, T1^12 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 4, 28, 8, 32, 9, 33, 12, 36, 13, 37, 16, 40, 17, 41, 20, 44, 21, 45, 24, 48, 22, 46, 23, 47, 18, 42, 19, 43, 14, 38, 15, 39, 10, 34, 11, 35, 6, 30, 7, 31, 2, 26, 5, 29)
	L = (1, 26)(2, 30)(3, 29)(4, 25)(5, 31)(6, 34)(7, 35)(8, 27)(9, 28)(10, 38)(11, 39)(12, 32)(13, 33)(14, 42)(15, 43)(16, 36)(17, 37)(18, 46)(19, 47)(20, 40)(21, 41)(22, 45)(23, 48)(24, 44)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.246
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 24 f = 3
	degree seq :: [ 48 ]

E11.249 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 24, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2^-3, T1^3 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 19, 43, 11, 35, 21, 45, 14, 38, 23, 47, 18, 42, 8, 32, 2, 26, 7, 31, 17, 41, 12, 36, 4, 28, 10, 34, 20, 44, 24, 48, 22, 46, 16, 40, 6, 30, 15, 39, 13, 37, 5, 29)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 38)(7, 39)(8, 40)(9, 41)(10, 27)(11, 28)(12, 29)(13, 42)(14, 44)(15, 47)(16, 45)(17, 37)(18, 46)(19, 36)(20, 33)(21, 34)(22, 35)(23, 48)(24, 43)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.247
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 24 f = 3
	degree seq :: [ 48 ]

E11.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^12, Y1^12 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 10, 34, 14, 38, 18, 42, 22, 46, 21, 45, 17, 41, 13, 37, 9, 33, 4, 28)(3, 27, 5, 29, 7, 31, 11, 35, 15, 39, 19, 43, 23, 47, 24, 48, 20, 44, 16, 40, 12, 36, 8, 32)(49, 73, 51, 75, 52, 76, 56, 80, 57, 81, 60, 84, 61, 85, 64, 88, 65, 89, 68, 92, 69, 93, 72, 96, 70, 94, 71, 95, 66, 90, 67, 91, 62, 86, 63, 87, 58, 82, 59, 83, 54, 78, 55, 79, 50, 74, 53, 77)
	L = (1, 52)(2, 49)(3, 56)(4, 57)(5, 51)(6, 50)(7, 53)(8, 60)(9, 61)(10, 54)(11, 55)(12, 64)(13, 65)(14, 58)(15, 59)(16, 68)(17, 69)(18, 62)(19, 63)(20, 72)(21, 70)(22, 66)(23, 67)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.252
Graph:: bipartite
	v = 3 e = 48 f = 25
	degree seq :: [ 24^2, 48 ]

E11.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y2)^2, (R * Y3)^2, Y2^-3 * Y3^2 * Y2^-1, Y1^4 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y3^-2 * Y1 * Y3^-2 * Y2^-1, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-3, (Y2^-1 * Y1 * Y2^-1)^3 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 20, 44, 9, 33, 17, 41, 13, 37, 18, 42, 22, 46, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 23, 47, 24, 48, 19, 43, 12, 36, 5, 29, 8, 32, 16, 40, 21, 45, 10, 34)(49, 73, 51, 75, 57, 81, 67, 91, 59, 83, 69, 93, 62, 86, 71, 95, 66, 90, 56, 80, 50, 74, 55, 79, 65, 89, 60, 84, 52, 76, 58, 82, 68, 92, 72, 96, 70, 94, 64, 88, 54, 78, 63, 87, 61, 85, 53, 77)
	L = (1, 52)(2, 49)(3, 58)(4, 59)(5, 60)(6, 50)(7, 51)(8, 53)(9, 68)(10, 69)(11, 70)(12, 67)(13, 65)(14, 54)(15, 55)(16, 56)(17, 57)(18, 61)(19, 72)(20, 62)(21, 64)(22, 66)(23, 63)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.253
Graph:: bipartite
	v = 3 e = 48 f = 25
	degree seq :: [ 24^2, 48 ]

E11.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26, 5, 29, 6, 30, 9, 33, 10, 34, 13, 37, 14, 38, 17, 41, 18, 42, 21, 45, 22, 46, 23, 47, 24, 48, 19, 43, 20, 44, 15, 39, 16, 40, 11, 35, 12, 36, 7, 31, 8, 32, 3, 27, 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, 52)(3, 55)(4, 56)(5, 49)(6, 50)(7, 59)(8, 60)(9, 53)(10, 54)(11, 63)(12, 64)(13, 57)(14, 58)(15, 67)(16, 68)(17, 61)(18, 62)(19, 71)(20, 72)(21, 65)(22, 66)(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) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.250
Graph:: bipartite
	v = 25 e = 48 f = 3
	degree seq :: [ 2^24, 48 ]

E11.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 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, Y1), Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3^-5 * Y1^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 13, 37, 18, 42, 19, 43, 24, 48, 21, 45, 10, 34, 3, 27, 7, 31, 15, 39, 12, 36, 5, 29, 8, 32, 16, 40, 23, 47, 22, 46, 20, 44, 9, 33, 17, 41, 11, 35, 4, 28)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(65, 89)(66, 90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 63)(7, 65)(8, 50)(9, 67)(10, 68)(11, 69)(12, 52)(13, 53)(14, 60)(15, 59)(16, 54)(17, 72)(18, 56)(19, 64)(20, 66)(21, 70)(22, 61)(23, 62)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.251
Graph:: bipartite
	v = 25 e = 48 f = 3
	degree seq :: [ 2^24, 48 ]

E11.254 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^2 * Y2 * Y1^-2, Y1^6, Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 32, 2, 35, 5, 41, 11, 40, 10, 34, 4, 31)(3, 37, 7, 42, 12, 50, 20, 47, 17, 38, 8, 33)(6, 43, 13, 49, 19, 48, 18, 39, 9, 44, 14, 36)(15, 53, 23, 57, 27, 55, 25, 46, 16, 54, 24, 45)(21, 58, 28, 56, 26, 60, 30, 52, 22, 59, 29, 51)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 30)(24, 28)(25, 29)(31, 33)(32, 36)(34, 39)(35, 42)(37, 45)(38, 46)(40, 47)(41, 49)(43, 51)(44, 52)(48, 56)(50, 57)(53, 60)(54, 58)(55, 59)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 5 e = 30 f = 5
	degree seq :: [ 12^5 ]

E11.255 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^6, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 31, 3, 33, 8, 38, 17, 47, 10, 40, 4, 34)(2, 32, 5, 35, 12, 42, 21, 51, 14, 44, 6, 36)(7, 37, 15, 45, 24, 54, 18, 48, 9, 39, 16, 46)(11, 41, 19, 49, 28, 58, 22, 52, 13, 43, 20, 50)(23, 53, 29, 59, 26, 56, 27, 57, 25, 55, 30, 60)(61, 62)(63, 67)(64, 69)(65, 71)(66, 73)(68, 72)(70, 74)(75, 83)(76, 85)(77, 84)(78, 86)(79, 87)(80, 89)(81, 88)(82, 90)(91, 92)(93, 97)(94, 99)(95, 101)(96, 103)(98, 102)(100, 104)(105, 113)(106, 115)(107, 114)(108, 116)(109, 117)(110, 119)(111, 118)(112, 120)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E11.257
Graph:: simple bipartite
	v = 35 e = 60 f = 5
	degree seq :: [ 2^30, 12^5 ]

E11.256 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = C6 x D10 (small group id <60, 10>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1^-3 * Y2 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, Y2^6, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 4, 34)(2, 32, 6, 36)(3, 33, 8, 38)(5, 35, 12, 42)(7, 37, 15, 45)(9, 39, 17, 47)(10, 40, 18, 48)(11, 41, 19, 49)(13, 43, 21, 51)(14, 44, 22, 52)(16, 46, 23, 53)(20, 50, 27, 57)(24, 54, 30, 60)(25, 55, 28, 58)(26, 56, 29, 59)(61, 62, 65, 71, 67, 63)(64, 69, 72, 80, 75, 70)(66, 73, 79, 76, 68, 74)(77, 84, 87, 86, 78, 85)(81, 88, 83, 90, 82, 89)(91, 93, 97, 101, 95, 92)(94, 100, 105, 110, 102, 99)(96, 104, 98, 106, 109, 103)(107, 115, 108, 116, 117, 114)(111, 119, 112, 120, 113, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E11.258
Graph:: simple bipartite
	v = 25 e = 60 f = 15
	degree seq :: [ 4^15, 6^10 ]

E11.257 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^6, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 31, 61, 91, 3, 33, 63, 93, 8, 38, 68, 98, 17, 47, 77, 107, 10, 40, 70, 100, 4, 34, 64, 94)(2, 32, 62, 92, 5, 35, 65, 95, 12, 42, 72, 102, 21, 51, 81, 111, 14, 44, 74, 104, 6, 36, 66, 96)(7, 37, 67, 97, 15, 45, 75, 105, 24, 54, 84, 114, 18, 48, 78, 108, 9, 39, 69, 99, 16, 46, 76, 106)(11, 41, 71, 101, 19, 49, 79, 109, 28, 58, 88, 118, 22, 52, 82, 112, 13, 43, 73, 103, 20, 50, 80, 110)(23, 53, 83, 113, 29, 59, 89, 119, 26, 56, 86, 116, 27, 57, 87, 117, 25, 55, 85, 115, 30, 60, 90, 120)
	L = (1, 32)(2, 31)(3, 37)(4, 39)(5, 41)(6, 43)(7, 33)(8, 42)(9, 34)(10, 44)(11, 35)(12, 38)(13, 36)(14, 40)(15, 53)(16, 55)(17, 54)(18, 56)(19, 57)(20, 59)(21, 58)(22, 60)(23, 45)(24, 47)(25, 46)(26, 48)(27, 49)(28, 51)(29, 50)(30, 52)(61, 92)(62, 91)(63, 97)(64, 99)(65, 101)(66, 103)(67, 93)(68, 102)(69, 94)(70, 104)(71, 95)(72, 98)(73, 96)(74, 100)(75, 113)(76, 115)(77, 114)(78, 116)(79, 117)(80, 119)(81, 118)(82, 120)(83, 105)(84, 107)(85, 106)(86, 108)(87, 109)(88, 111)(89, 110)(90, 112)
	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 E11.255
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 35
	degree seq :: [ 24^5 ]

E11.258 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = C6 x D10 (small group id <60, 10>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1^-3 * Y2 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, Y2^6, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94)(2, 32, 62, 92, 6, 36, 66, 96)(3, 33, 63, 93, 8, 38, 68, 98)(5, 35, 65, 95, 12, 42, 72, 102)(7, 37, 67, 97, 15, 45, 75, 105)(9, 39, 69, 99, 17, 47, 77, 107)(10, 40, 70, 100, 18, 48, 78, 108)(11, 41, 71, 101, 19, 49, 79, 109)(13, 43, 73, 103, 21, 51, 81, 111)(14, 44, 74, 104, 22, 52, 82, 112)(16, 46, 76, 106, 23, 53, 83, 113)(20, 50, 80, 110, 27, 57, 87, 117)(24, 54, 84, 114, 30, 60, 90, 120)(25, 55, 85, 115, 28, 58, 88, 118)(26, 56, 86, 116, 29, 59, 89, 119)
	L = (1, 32)(2, 35)(3, 31)(4, 39)(5, 41)(6, 43)(7, 33)(8, 44)(9, 42)(10, 34)(11, 37)(12, 50)(13, 49)(14, 36)(15, 40)(16, 38)(17, 54)(18, 55)(19, 46)(20, 45)(21, 58)(22, 59)(23, 60)(24, 57)(25, 47)(26, 48)(27, 56)(28, 53)(29, 51)(30, 52)(61, 93)(62, 91)(63, 97)(64, 100)(65, 92)(66, 104)(67, 101)(68, 106)(69, 94)(70, 105)(71, 95)(72, 99)(73, 96)(74, 98)(75, 110)(76, 109)(77, 115)(78, 116)(79, 103)(80, 102)(81, 119)(82, 120)(83, 118)(84, 107)(85, 108)(86, 117)(87, 114)(88, 111)(89, 112)(90, 113)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.256
Transitivity :: VT+
Graph::
	v = 15 e = 60 f = 25
	degree seq :: [ 8^15 ]

E11.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^6, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 9, 39)(5, 35, 11, 41)(6, 36, 13, 43)(8, 38, 12, 42)(10, 40, 14, 44)(15, 45, 23, 53)(16, 46, 25, 55)(17, 47, 24, 54)(18, 48, 26, 56)(19, 49, 27, 57)(20, 50, 29, 59)(21, 51, 28, 58)(22, 52, 30, 60)(61, 91, 63, 93, 68, 98, 77, 107, 70, 100, 64, 94)(62, 92, 65, 95, 72, 102, 81, 111, 74, 104, 66, 96)(67, 97, 75, 105, 84, 114, 78, 108, 69, 99, 76, 106)(71, 101, 79, 109, 88, 118, 82, 112, 73, 103, 80, 110)(83, 113, 89, 119, 86, 116, 87, 117, 85, 115, 90, 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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 20 e = 60 f = 20
	degree seq :: [ 4^15, 12^5 ]

E11.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y2^-2 * Y3 * Y2^-1, Y1 * Y3 * Y2^-3, Y3^5, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 11, 41)(4, 34, 10, 40)(5, 35, 17, 47)(6, 36, 8, 38)(7, 37, 21, 51)(9, 39, 24, 54)(12, 42, 16, 46)(13, 43, 27, 57)(14, 44, 19, 49)(15, 45, 26, 56)(18, 48, 29, 59)(20, 50, 23, 53)(22, 52, 28, 58)(25, 55, 30, 60)(61, 91, 63, 93, 72, 102, 68, 98, 79, 109, 65, 95)(62, 92, 67, 97, 76, 106, 64, 94, 74, 104, 69, 99)(66, 96, 73, 103, 77, 107, 83, 113, 71, 101, 78, 108)(70, 100, 82, 112, 84, 114, 75, 105, 81, 111, 85, 115)(80, 110, 88, 118, 89, 119, 86, 116, 87, 117, 90, 120)
	L = (1, 64)(2, 68)(3, 73)(4, 75)(5, 78)(6, 61)(7, 82)(8, 83)(9, 85)(10, 62)(11, 79)(12, 69)(13, 88)(14, 63)(15, 80)(16, 65)(17, 72)(18, 90)(19, 67)(20, 66)(21, 74)(22, 87)(23, 86)(24, 76)(25, 89)(26, 70)(27, 71)(28, 81)(29, 77)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 20 e = 60 f = 20
	degree seq :: [ 4^15, 12^5 ]

E11.261 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 10, 15})
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), T1^6, T2^5 * T1^3, T1^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 26, 14, 25, 24, 13, 5)(2, 7, 17, 29, 22, 11, 21, 30, 18, 8)(4, 10, 20, 28, 16, 6, 15, 27, 23, 12)(31, 32, 36, 44, 41, 34)(33, 37, 45, 55, 51, 40)(35, 38, 46, 56, 52, 42)(39, 47, 57, 54, 60, 50)(43, 48, 58, 49, 59, 53)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30^6 ), ( 30^10 ) }
Outer automorphisms :: reflexible
Dual of E11.265
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 30 f = 2
	degree seq :: [ 6^5, 10^3 ]

E11.262 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 10, 15})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-3 * T1^2, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 29, 23, 25, 18, 11, 13, 5)(2, 7, 16, 14, 21, 28, 26, 30, 24, 17, 19, 12, 4, 10, 8)(31, 32, 36, 44, 50, 56, 53, 47, 41, 34)(33, 37, 45, 51, 57, 60, 55, 49, 43, 40)(35, 38, 39, 46, 52, 58, 59, 54, 48, 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) :: { ( 12^10 ), ( 12^15 ) }
Outer automorphisms :: reflexible
Dual of E11.266
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 30 f = 5
	degree seq :: [ 10^3, 15^2 ]

E11.263 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 10, 15})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^6, T2^2 * T1^5 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 13, 5)(2, 7, 17, 27, 18, 8)(4, 10, 20, 28, 24, 12)(6, 15, 22, 30, 26, 16)(11, 21, 29, 25, 14, 23)(31, 32, 36, 44, 54, 43, 48, 56, 59, 50, 39, 47, 52, 41, 34)(33, 37, 45, 53, 42, 35, 38, 46, 55, 58, 49, 57, 60, 51, 40)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 20^6 ), ( 20^15 ) }
Outer automorphisms :: reflexible
Dual of E11.264
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 30 f = 3
	degree seq :: [ 6^5, 15^2 ]

E11.264 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 10, 15})
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), T1^6, T2^5 * T1^3, T1^12 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 19, 49, 26, 56, 14, 44, 25, 55, 24, 54, 13, 43, 5, 35)(2, 32, 7, 37, 17, 47, 29, 59, 22, 52, 11, 41, 21, 51, 30, 60, 18, 48, 8, 38)(4, 34, 10, 40, 20, 50, 28, 58, 16, 46, 6, 36, 15, 45, 27, 57, 23, 53, 12, 42)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 44)(7, 45)(8, 46)(9, 47)(10, 33)(11, 34)(12, 35)(13, 48)(14, 41)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 39)(21, 40)(22, 42)(23, 43)(24, 60)(25, 51)(26, 52)(27, 54)(28, 49)(29, 53)(30, 50)
	local type(s) :: { ( 6, 15, 6, 15, 6, 15, 6, 15, 6, 15, 6, 15, 6, 15, 6, 15, 6, 15, 6, 15 ) }
Outer automorphisms :: reflexible
Dual of E11.263
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 30 f = 7
	degree seq :: [ 20^3 ]

E11.265 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 10, 15})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-3 * T1^2, T1^10 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 6, 36, 15, 45, 22, 52, 20, 50, 27, 57, 29, 59, 23, 53, 25, 55, 18, 48, 11, 41, 13, 43, 5, 35)(2, 32, 7, 37, 16, 46, 14, 44, 21, 51, 28, 58, 26, 56, 30, 60, 24, 54, 17, 47, 19, 49, 12, 42, 4, 34, 10, 40, 8, 38)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 44)(7, 45)(8, 39)(9, 46)(10, 33)(11, 34)(12, 35)(13, 40)(14, 50)(15, 51)(16, 52)(17, 41)(18, 42)(19, 43)(20, 56)(21, 57)(22, 58)(23, 47)(24, 48)(25, 49)(26, 53)(27, 60)(28, 59)(29, 54)(30, 55)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.261
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 30 f = 8
	degree seq :: [ 30^2 ]

E11.266 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 10, 15})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^6, T2^2 * T1^5 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 19, 49, 13, 43, 5, 35)(2, 32, 7, 37, 17, 47, 27, 57, 18, 48, 8, 38)(4, 34, 10, 40, 20, 50, 28, 58, 24, 54, 12, 42)(6, 36, 15, 45, 22, 52, 30, 60, 26, 56, 16, 46)(11, 41, 21, 51, 29, 59, 25, 55, 14, 44, 23, 53)
	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, 54)(15, 53)(16, 55)(17, 52)(18, 56)(19, 57)(20, 39)(21, 40)(22, 41)(23, 42)(24, 43)(25, 58)(26, 59)(27, 60)(28, 49)(29, 50)(30, 51)
	local type(s) :: { ( 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15 ) }
Outer automorphisms :: reflexible
Dual of E11.262
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 30 f = 5
	degree seq :: [ 12^5 ]

E11.267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3 * Y2^-1 * Y1, Y1^-1 * Y2 * Y3^-1 * Y2^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y1^6, Y3 * Y2^3 * Y1^-1 * Y2 * Y3 * 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 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 25, 55, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 26, 56, 22, 52, 12, 42)(9, 39, 17, 47, 27, 57, 24, 54, 30, 60, 20, 50)(13, 43, 18, 48, 28, 58, 19, 49, 29, 59, 23, 53)(61, 91, 63, 93, 69, 99, 79, 109, 86, 116, 74, 104, 85, 115, 84, 114, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 89, 119, 82, 112, 71, 101, 81, 111, 90, 120, 78, 108, 68, 98)(64, 94, 70, 100, 80, 110, 88, 118, 76, 106, 66, 96, 75, 105, 87, 117, 83, 113, 72, 102)
	L = (1, 64)(2, 61)(3, 70)(4, 71)(5, 72)(6, 62)(7, 63)(8, 65)(9, 80)(10, 81)(11, 74)(12, 82)(13, 83)(14, 66)(15, 67)(16, 68)(17, 69)(18, 73)(19, 88)(20, 90)(21, 85)(22, 86)(23, 89)(24, 87)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E11.270
Graph:: bipartite
	v = 8 e = 60 f = 32
	degree seq :: [ 12^5, 20^3 ]

E11.268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^2 * Y2^-3, Y1^10, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 20, 50, 26, 56, 23, 53, 17, 47, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 21, 51, 27, 57, 30, 60, 25, 55, 19, 49, 13, 43, 10, 40)(5, 35, 8, 38, 9, 39, 16, 46, 22, 52, 28, 58, 29, 59, 24, 54, 18, 48, 12, 42)(61, 91, 63, 93, 69, 99, 66, 96, 75, 105, 82, 112, 80, 110, 87, 117, 89, 119, 83, 113, 85, 115, 78, 108, 71, 101, 73, 103, 65, 95)(62, 92, 67, 97, 76, 106, 74, 104, 81, 111, 88, 118, 86, 116, 90, 120, 84, 114, 77, 107, 79, 109, 72, 102, 64, 94, 70, 100, 68, 98)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 76)(8, 62)(9, 66)(10, 68)(11, 73)(12, 64)(13, 65)(14, 81)(15, 82)(16, 74)(17, 79)(18, 71)(19, 72)(20, 87)(21, 88)(22, 80)(23, 85)(24, 77)(25, 78)(26, 90)(27, 89)(28, 86)(29, 83)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 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 E11.269
Graph:: bipartite
	v = 5 e = 60 f = 35
	degree seq :: [ 20^3, 30^2 ]

E11.269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^6, Y2^2 * Y3^-5, (Y3^-1 * Y1^-1)^15 ]
Map::
	R = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)(61, 91, 62, 92, 66, 96, 74, 104, 71, 101, 64, 94)(63, 93, 67, 97, 75, 105, 85, 115, 81, 111, 70, 100)(65, 95, 68, 98, 76, 106, 86, 116, 82, 112, 72, 102)(69, 99, 77, 107, 87, 117, 90, 120, 84, 114, 80, 110)(73, 103, 78, 108, 79, 109, 88, 118, 89, 119, 83, 113)
	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, 85)(15, 87)(16, 66)(17, 88)(18, 68)(19, 76)(20, 78)(21, 84)(22, 71)(23, 72)(24, 73)(25, 90)(26, 74)(27, 89)(28, 86)(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) :: { ( 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E11.268
Graph:: simple bipartite
	v = 35 e = 60 f = 5
	degree seq :: [ 2^30, 12^5 ]

E11.270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^2 * Y1^5, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 24, 54, 13, 43, 18, 48, 26, 56, 29, 59, 20, 50, 9, 39, 17, 47, 22, 52, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 12, 42, 5, 35, 8, 38, 16, 46, 25, 55, 28, 58, 19, 49, 27, 57, 30, 60, 21, 51, 10, 40)(61, 91)(62, 92)(63, 93)(64, 94)(65, 95)(66, 96)(67, 97)(68, 98)(69, 99)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(75, 105)(76, 106)(77, 107)(78, 108)(79, 109)(80, 110)(81, 111)(82, 112)(83, 113)(84, 114)(85, 115)(86, 116)(87, 117)(88, 118)(89, 119)(90, 120)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 79)(10, 80)(11, 81)(12, 64)(13, 65)(14, 83)(15, 82)(16, 66)(17, 87)(18, 68)(19, 73)(20, 88)(21, 89)(22, 90)(23, 71)(24, 72)(25, 74)(26, 76)(27, 78)(28, 84)(29, 85)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 20 ), ( 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E11.267
Graph:: simple bipartite
	v = 32 e = 60 f = 8
	degree seq :: [ 2^30, 30^2 ]

E11.271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y1^6, Y2^5 * Y1^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 25, 55, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 26, 56, 22, 52, 12, 42)(9, 39, 17, 47, 24, 54, 28, 58, 30, 60, 20, 50)(13, 43, 18, 48, 27, 57, 29, 59, 19, 49, 23, 53)(61, 91, 63, 93, 69, 99, 79, 109, 82, 112, 71, 101, 81, 111, 90, 120, 87, 117, 76, 106, 66, 96, 75, 105, 84, 114, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 83, 113, 72, 102, 64, 94, 70, 100, 80, 110, 89, 119, 86, 116, 74, 104, 85, 115, 88, 118, 78, 108, 68, 98)
	L = (1, 64)(2, 61)(3, 70)(4, 71)(5, 72)(6, 62)(7, 63)(8, 65)(9, 80)(10, 81)(11, 74)(12, 82)(13, 83)(14, 66)(15, 67)(16, 68)(17, 69)(18, 73)(19, 89)(20, 90)(21, 85)(22, 86)(23, 79)(24, 77)(25, 75)(26, 76)(27, 78)(28, 84)(29, 87)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 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 E11.272
Graph:: bipartite
	v = 7 e = 60 f = 33
	degree seq :: [ 12^5, 30^2 ]

E11.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^-3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 20, 50, 26, 56, 23, 53, 17, 47, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 21, 51, 27, 57, 30, 60, 25, 55, 19, 49, 13, 43, 10, 40)(5, 35, 8, 38, 9, 39, 16, 46, 22, 52, 28, 58, 29, 59, 24, 54, 18, 48, 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, 76)(8, 62)(9, 66)(10, 68)(11, 73)(12, 64)(13, 65)(14, 81)(15, 82)(16, 74)(17, 79)(18, 71)(19, 72)(20, 87)(21, 88)(22, 80)(23, 85)(24, 77)(25, 78)(26, 90)(27, 89)(28, 86)(29, 83)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E11.271
Graph:: simple bipartite
	v = 33 e = 60 f = 7
	degree seq :: [ 2^30, 20^3 ]

E11.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 11, 43)(5, 37, 13, 45)(7, 39, 16, 48)(8, 40, 18, 50)(9, 41, 19, 51)(10, 42, 21, 53)(12, 44, 17, 49)(14, 46, 24, 56)(15, 47, 26, 58)(20, 52, 25, 57)(22, 54, 31, 63)(23, 55, 32, 64)(27, 59, 29, 61)(28, 60, 30, 62)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 73, 105)(69, 101, 74, 106)(71, 103, 78, 110)(72, 104, 79, 111)(75, 107, 83, 115)(76, 108, 84, 116)(77, 109, 85, 117)(80, 112, 88, 120)(81, 113, 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, 73)(4, 76)(5, 65)(6, 78)(7, 81)(8, 66)(9, 84)(10, 67)(11, 86)(12, 69)(13, 87)(14, 89)(15, 70)(16, 91)(17, 72)(18, 92)(19, 93)(20, 74)(21, 94)(22, 77)(23, 75)(24, 95)(25, 79)(26, 96)(27, 82)(28, 80)(29, 85)(30, 83)(31, 90)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.290
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 9, 41)(5, 37, 10, 42)(7, 39, 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)(66, 98, 70, 102)(68, 100, 69, 101)(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, 68)(2, 71)(3, 69)(4, 67)(5, 65)(6, 72)(7, 70)(8, 66)(9, 77)(10, 78)(11, 79)(12, 80)(13, 74)(14, 73)(15, 76)(16, 75)(17, 85)(18, 86)(19, 87)(20, 88)(21, 82)(22, 81)(23, 84)(24, 83)(25, 93)(26, 94)(27, 95)(28, 96)(29, 90)(30, 89)(31, 92)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.288
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1 * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 11, 43)(5, 37, 13, 45)(7, 39, 16, 48)(8, 40, 18, 50)(9, 41, 19, 51)(10, 42, 21, 53)(12, 44, 17, 49)(14, 46, 24, 56)(15, 47, 26, 58)(20, 52, 25, 57)(22, 54, 31, 63)(23, 55, 32, 64)(27, 59, 30, 62)(28, 60, 29, 61)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 73, 105)(69, 101, 74, 106)(71, 103, 78, 110)(72, 104, 79, 111)(75, 107, 83, 115)(76, 108, 84, 116)(77, 109, 85, 117)(80, 112, 88, 120)(81, 113, 89, 121)(82, 114, 90, 122)(86, 118, 93, 125)(87, 119, 94, 126)(91, 123, 96, 128)(92, 124, 95, 127)
	L = (1, 68)(2, 71)(3, 73)(4, 76)(5, 65)(6, 78)(7, 81)(8, 66)(9, 84)(10, 67)(11, 86)(12, 69)(13, 87)(14, 89)(15, 70)(16, 91)(17, 72)(18, 92)(19, 93)(20, 74)(21, 94)(22, 77)(23, 75)(24, 96)(25, 79)(26, 95)(27, 82)(28, 80)(29, 85)(30, 83)(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) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.289
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y3 * Y2)^2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 14, 46)(10, 42, 15, 47)(11, 43, 16, 48)(12, 44, 17, 49)(13, 45, 18, 50)(19, 51, 24, 56)(20, 52, 25, 57)(21, 53, 26, 58)(22, 54, 27, 59)(23, 55, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 73, 105, 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, 95, 127, 87, 119, 96, 128)(91, 123, 93, 125, 92, 124, 94, 126)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 79)(7, 66)(8, 82)(9, 83)(10, 67)(11, 86)(12, 87)(13, 69)(14, 88)(15, 70)(16, 91)(17, 92)(18, 72)(19, 73)(20, 93)(21, 94)(22, 75)(23, 76)(24, 78)(25, 95)(26, 96)(27, 80)(28, 81)(29, 84)(30, 85)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.285
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2 * Y1 * Y2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 5, 37)(4, 36, 6, 38)(7, 39, 10, 42)(8, 40, 9, 41)(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)(65, 97, 67, 99, 66, 98, 69, 101)(68, 100, 72, 104, 70, 102, 73, 105)(71, 103, 75, 107, 74, 106, 76, 108)(77, 109, 81, 113, 78, 110, 82, 114)(79, 111, 83, 115, 80, 112, 84, 116)(85, 117, 89, 121, 86, 118, 90, 122)(87, 119, 91, 123, 88, 120, 92, 124)(93, 125, 95, 127, 94, 126, 96, 128)
	L = (1, 68)(2, 70)(3, 71)(4, 65)(5, 74)(6, 66)(7, 67)(8, 77)(9, 78)(10, 69)(11, 79)(12, 80)(13, 72)(14, 73)(15, 75)(16, 76)(17, 85)(18, 86)(19, 87)(20, 88)(21, 81)(22, 82)(23, 83)(24, 84)(25, 93)(26, 94)(27, 95)(28, 96)(29, 89)(30, 90)(31, 91)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.286
Graph:: bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3)^2, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 ]
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, 32, 64)(30, 62, 31, 63)(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, 95, 127, 87, 119, 96, 128)(91, 123, 94, 126, 92, 124, 93, 125)
	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, 96)(26, 95)(27, 80)(28, 81)(29, 84)(30, 85)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.287
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, (Y3 * Y2^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (R * Y2 * Y3)^2, (Y2^-2 * Y1)^2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2)^8 ]
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, 31, 63)(24, 56, 32, 64)(25, 57, 30, 62)(26, 58, 28, 60)(27, 59, 29, 61)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 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, 92)(24, 93)(25, 74)(26, 95)(27, 96)(28, 87)(29, 88)(30, 81)(31, 90)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.282
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3 * Y1, (R * Y2 * Y3)^2, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(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, 71, 103, 69, 101)(66, 98, 70, 102, 68, 100, 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, 74)(4, 65)(5, 73)(6, 76)(7, 66)(8, 75)(9, 69)(10, 67)(11, 72)(12, 70)(13, 82)(14, 81)(15, 84)(16, 83)(17, 78)(18, 77)(19, 80)(20, 79)(21, 90)(22, 89)(23, 92)(24, 91)(25, 86)(26, 85)(27, 88)(28, 87)(29, 96)(30, 95)(31, 94)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.283
Graph:: bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-2 * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1, (Y3 * Y2)^8 ]
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, 32, 64)(24, 56, 31, 63)(25, 57, 30, 62)(26, 58, 29, 61)(27, 59, 28, 60)(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, 93)(24, 92)(25, 74)(26, 96)(27, 95)(28, 88)(29, 87)(30, 81)(31, 91)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.284
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, Y2 * Y1^-4, (Y3 * Y1^-2)^2, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 6, 38, 10, 42, 3, 35, 7, 39, 14, 46, 5, 37)(4, 36, 11, 43, 22, 54, 20, 52, 9, 41, 19, 51, 15, 47, 12, 44)(8, 40, 17, 49, 13, 45, 25, 57, 16, 48, 26, 58, 21, 53, 18, 50)(23, 55, 27, 59, 24, 56, 28, 60, 29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 73, 105)(69, 101, 74, 106)(70, 102, 78, 110)(72, 104, 80, 112)(75, 107, 83, 115)(76, 108, 84, 116)(77, 109, 85, 117)(79, 111, 86, 118)(81, 113, 90, 122)(82, 114, 89, 121)(87, 119, 93, 125)(88, 120, 94, 126)(91, 123, 96, 128)(92, 124, 95, 127)
	L = (1, 68)(2, 72)(3, 73)(4, 65)(5, 77)(6, 79)(7, 80)(8, 66)(9, 67)(10, 85)(11, 87)(12, 88)(13, 69)(14, 86)(15, 70)(16, 71)(17, 91)(18, 92)(19, 93)(20, 94)(21, 74)(22, 78)(23, 75)(24, 76)(25, 95)(26, 96)(27, 81)(28, 82)(29, 83)(30, 84)(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, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.279
Graph:: bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y1 * Y3, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 15, 47, 23, 55, 22, 54, 14, 46, 5, 37)(3, 35, 7, 39, 16, 48, 24, 56, 30, 62, 27, 59, 19, 51, 10, 42)(4, 36, 11, 43, 20, 52, 28, 60, 31, 63, 26, 58, 17, 49, 12, 44)(8, 40, 9, 41, 13, 45, 21, 53, 29, 61, 32, 64, 25, 57, 18, 50)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 73, 105)(69, 101, 74, 106)(70, 102, 80, 112)(72, 104, 76, 108)(75, 107, 77, 109)(78, 110, 83, 115)(79, 111, 88, 120)(81, 113, 82, 114)(84, 116, 85, 117)(86, 118, 91, 123)(87, 119, 94, 126)(89, 121, 90, 122)(92, 124, 93, 125)(95, 127, 96, 128)
	L = (1, 68)(2, 72)(3, 73)(4, 65)(5, 77)(6, 81)(7, 76)(8, 66)(9, 67)(10, 75)(11, 74)(12, 71)(13, 69)(14, 84)(15, 89)(16, 82)(17, 70)(18, 80)(19, 85)(20, 78)(21, 83)(22, 93)(23, 95)(24, 90)(25, 79)(26, 88)(27, 92)(28, 91)(29, 86)(30, 96)(31, 87)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.280
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1^3 * Y3 * Y1^-1 * Y3, (Y3 * Y1)^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 6, 38, 15, 47, 30, 62, 29, 61, 14, 46, 5, 37)(3, 35, 7, 39, 16, 48, 26, 58, 32, 64, 27, 59, 24, 56, 10, 42)(4, 36, 11, 43, 25, 57, 18, 50, 31, 63, 23, 55, 17, 49, 12, 44)(8, 40, 19, 51, 13, 45, 28, 60, 22, 54, 9, 41, 21, 53, 20, 52)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 73, 105)(69, 101, 74, 106)(70, 102, 80, 112)(72, 104, 82, 114)(75, 107, 85, 117)(76, 108, 86, 118)(77, 109, 87, 119)(78, 110, 88, 120)(79, 111, 90, 122)(81, 113, 92, 124)(83, 115, 95, 127)(84, 116, 89, 121)(91, 123, 93, 125)(94, 126, 96, 128)
	L = (1, 68)(2, 72)(3, 73)(4, 65)(5, 77)(6, 81)(7, 82)(8, 66)(9, 67)(10, 87)(11, 90)(12, 91)(13, 69)(14, 89)(15, 85)(16, 92)(17, 70)(18, 71)(19, 96)(20, 88)(21, 79)(22, 93)(23, 74)(24, 84)(25, 78)(26, 75)(27, 76)(28, 80)(29, 86)(30, 95)(31, 94)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.281
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y1^-1 * Y3 * Y2 * Y1^-3, (Y2 * Y1^-2)^2, (Y3 * Y1^2)^2, Y2 * Y1^2 * Y3 * Y1^-2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 17, 49, 10, 42, 21, 53, 16, 48, 5, 37)(3, 35, 9, 41, 19, 51, 13, 45, 4, 36, 12, 44, 18, 50, 11, 43)(7, 39, 20, 52, 14, 46, 24, 56, 8, 40, 23, 55, 15, 47, 22, 54)(25, 57, 29, 61, 27, 59, 31, 63, 26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 78, 110)(70, 102, 82, 114)(72, 104, 85, 117)(73, 105, 89, 121)(75, 107, 91, 123)(76, 108, 90, 122)(77, 109, 92, 124)(79, 111, 81, 113)(80, 112, 83, 115)(84, 116, 93, 125)(86, 118, 95, 127)(87, 119, 94, 126)(88, 120, 96, 128)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 79)(6, 83)(7, 85)(8, 66)(9, 90)(10, 67)(11, 92)(12, 89)(13, 91)(14, 81)(15, 69)(16, 82)(17, 78)(18, 80)(19, 70)(20, 94)(21, 71)(22, 96)(23, 93)(24, 95)(25, 76)(26, 73)(27, 77)(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) :: { ( 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 E11.276
Graph:: bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y3, (R * Y1)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 6, 38, 13, 45, 21, 53, 20, 52, 12, 44, 5, 37)(3, 35, 9, 41, 17, 49, 25, 57, 28, 60, 23, 55, 14, 46, 8, 40)(4, 36, 11, 43, 19, 51, 27, 59, 29, 61, 22, 54, 15, 47, 7, 39)(10, 42, 16, 48, 24, 56, 30, 62, 32, 64, 31, 63, 26, 58, 18, 50)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 75, 107)(70, 102, 78, 110)(72, 104, 80, 112)(73, 105, 82, 114)(76, 108, 81, 113)(77, 109, 86, 118)(79, 111, 88, 120)(83, 115, 90, 122)(84, 116, 91, 123)(85, 117, 92, 124)(87, 119, 94, 126)(89, 121, 95, 127)(93, 125, 96, 128)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 73)(6, 79)(7, 80)(8, 66)(9, 69)(10, 67)(11, 82)(12, 83)(13, 87)(14, 88)(15, 70)(16, 71)(17, 90)(18, 75)(19, 76)(20, 89)(21, 93)(22, 94)(23, 77)(24, 78)(25, 84)(26, 81)(27, 95)(28, 96)(29, 85)(30, 86)(31, 91)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.277
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y3 * Y1^-3, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y1^-2 * Y3 * Y1 * Y2 * Y1^-1, (Y3 * Y1^-2)^2, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 6, 38, 17, 49, 29, 61, 28, 60, 16, 48, 5, 37)(3, 35, 9, 41, 24, 56, 8, 40, 23, 55, 15, 47, 18, 50, 11, 43)(4, 36, 12, 44, 22, 54, 7, 39, 20, 52, 14, 46, 19, 51, 13, 45)(10, 42, 21, 53, 30, 62, 25, 57, 31, 63, 27, 59, 32, 64, 26, 58)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 78, 110)(70, 102, 82, 114)(72, 104, 85, 117)(73, 105, 89, 121)(75, 107, 91, 123)(76, 108, 81, 113)(77, 109, 92, 124)(79, 111, 90, 122)(80, 112, 88, 120)(83, 115, 94, 126)(84, 116, 95, 127)(86, 118, 96, 128)(87, 119, 93, 125)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 79)(6, 83)(7, 85)(8, 66)(9, 81)(10, 67)(11, 92)(12, 89)(13, 91)(14, 90)(15, 69)(16, 86)(17, 73)(18, 94)(19, 70)(20, 93)(21, 71)(22, 80)(23, 95)(24, 96)(25, 76)(26, 78)(27, 77)(28, 75)(29, 84)(30, 82)(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, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.278
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y2^-1 * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2^-2 * R * Y2^2 * R, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 13, 45, 8, 40)(5, 37, 11, 43, 14, 46, 7, 39)(10, 42, 16, 48, 21, 53, 17, 49)(12, 44, 15, 47, 22, 54, 19, 51)(18, 50, 25, 57, 28, 60, 24, 56)(20, 52, 27, 59, 29, 61, 23, 55)(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, 75, 107, 83, 115, 91, 123, 95, 127, 89, 121, 81, 113, 73, 105)(70, 102, 77, 109, 85, 117, 92, 124, 96, 128, 93, 125, 86, 118, 78, 110)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 68)(7, 69)(8, 67)(9, 77)(10, 80)(11, 78)(12, 79)(13, 72)(14, 71)(15, 86)(16, 85)(17, 74)(18, 89)(19, 76)(20, 91)(21, 81)(22, 83)(23, 84)(24, 82)(25, 92)(26, 94)(27, 93)(28, 88)(29, 87)(30, 96)(31, 90)(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 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.274
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, Y1^4, (Y3 * Y2^-1)^2, (Y2^-1 * Y3^-1)^2, (Y2^-1 * Y1)^2, (Y3^-1, Y1^-1), Y2^2 * Y3 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 11, 43)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 9, 41)(14, 46, 28, 60, 31, 63, 29, 61)(15, 47, 26, 58, 16, 48, 27, 59)(17, 49, 24, 56, 19, 51, 25, 57)(20, 52, 23, 55, 32, 64, 30, 62)(65, 97, 67, 99, 78, 110, 88, 120, 76, 108, 91, 123, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 80, 112, 68, 100, 81, 113, 92, 124, 75, 107)(69, 101, 82, 114, 94, 126, 79, 111, 71, 103, 83, 115, 93, 125, 77, 109)(72, 104, 85, 117, 95, 127, 89, 121, 74, 106, 90, 122, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 90)(14, 87)(15, 85)(16, 67)(17, 70)(18, 89)(19, 86)(20, 92)(21, 80)(22, 81)(23, 95)(24, 82)(25, 73)(26, 75)(27, 77)(28, 96)(29, 84)(30, 78)(31, 94)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.275
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, (Y2^-1 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-3 * Y1^-1, Y2^-1 * Y3^-1 * Y2^2 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 11, 43)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 9, 41)(14, 46, 28, 60, 31, 63, 29, 61)(15, 47, 26, 58, 16, 48, 27, 59)(17, 49, 24, 56, 19, 51, 25, 57)(20, 52, 23, 55, 32, 64, 30, 62)(65, 97, 67, 99, 78, 110, 89, 121, 74, 106, 90, 122, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 79, 111, 71, 103, 83, 115, 92, 124, 75, 107)(68, 100, 81, 113, 93, 125, 77, 109, 69, 101, 82, 114, 94, 126, 80, 112)(72, 104, 85, 117, 95, 127, 88, 120, 76, 108, 91, 123, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 90)(14, 94)(15, 85)(16, 67)(17, 70)(18, 89)(19, 86)(20, 93)(21, 80)(22, 81)(23, 78)(24, 82)(25, 73)(26, 75)(27, 77)(28, 84)(29, 96)(30, 95)(31, 87)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.273
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^4, (Y2 * Y1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 11, 43)(5, 37, 13, 45)(7, 39, 16, 48)(8, 40, 18, 50)(9, 41, 19, 51)(10, 42, 21, 53)(12, 44, 24, 56)(14, 46, 27, 59)(15, 47, 28, 60)(17, 49, 20, 52)(22, 54, 29, 61)(23, 55, 31, 63)(25, 57, 30, 62)(26, 58, 32, 64)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 73, 105)(69, 101, 74, 106)(71, 103, 78, 110)(72, 104, 79, 111)(75, 107, 83, 115)(76, 108, 84, 116)(77, 109, 85, 117)(80, 112, 91, 123)(81, 113, 88, 120)(82, 114, 92, 124)(86, 118, 90, 122)(87, 119, 89, 121)(93, 125, 96, 128)(94, 126, 95, 127)
	L = (1, 68)(2, 71)(3, 73)(4, 76)(5, 65)(6, 78)(7, 81)(8, 66)(9, 84)(10, 67)(11, 86)(12, 69)(13, 89)(14, 88)(15, 70)(16, 93)(17, 72)(18, 95)(19, 90)(20, 74)(21, 87)(22, 85)(23, 75)(24, 79)(25, 83)(26, 77)(27, 96)(28, 94)(29, 92)(30, 80)(31, 91)(32, 82)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.304
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2, (Y2 * Y1)^4, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 10, 42)(5, 37, 11, 43)(6, 38, 12, 44)(7, 39, 13, 45)(8, 40, 14, 46)(15, 47, 24, 56)(16, 48, 27, 59)(17, 49, 30, 62)(18, 50, 25, 57)(19, 51, 28, 60)(20, 52, 31, 63)(21, 53, 26, 58)(22, 54, 29, 61)(23, 55, 32, 64)(65, 97, 67, 99)(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, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.302
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ 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 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
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, 29, 61)(24, 56, 31, 63)(25, 57, 30, 62)(26, 58, 32, 64)(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, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.303
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3)^2, Y3 * Y2^-2 * Y1 * Y3 * Y2^-2, Y2^-2 * R * Y2^2 * R * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 14, 46)(10, 42, 15, 47)(11, 43, 16, 48)(12, 44, 17, 49)(13, 45, 18, 50)(19, 51, 22, 54)(20, 52, 26, 58)(21, 53, 25, 57)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 32, 64)(30, 62, 31, 63)(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, 93, 125, 92, 124, 95, 127)(88, 120, 94, 126, 91, 123, 96, 128)
	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, 95)(26, 96)(27, 80)(28, 81)(29, 84)(30, 85)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.301
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2^-1, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 ]
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, 28, 60)(24, 56, 32, 64)(26, 58, 31, 63)(27, 59, 29, 61)(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, 95)(24, 93)(25, 94)(26, 92)(27, 96)(28, 90)(29, 88)(30, 89)(31, 87)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.298
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y3 * Y2^-2 * Y1, (R * Y1)^2, Y1 * Y2^-2 * Y3^-1, (R * Y3)^2, Y3^4, Y2^-1 * Y3^-2 * Y2^-1 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 ]
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, 29, 61)(26, 58, 31, 63)(27, 59, 30, 62)(28, 60, 32, 64)(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, 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, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.299
Graph:: bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y1 * Y2^2, Y2^4, Y3^4, Y1 * Y2^-2 * Y3, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^2 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y3^-1, Y2^-1 * Y3 * 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, 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, 29, 61)(26, 58, 31, 63)(27, 59, 30, 62)(28, 60, 32, 64)(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, 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, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.300
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^4, Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 6, 38, 10, 42, 3, 35, 7, 39, 14, 46, 5, 37)(4, 36, 11, 43, 15, 47, 20, 52, 9, 41, 19, 51, 24, 56, 12, 44)(8, 40, 17, 49, 21, 53, 26, 58, 16, 48, 25, 57, 13, 45, 18, 50)(22, 54, 31, 63, 30, 62, 28, 60, 29, 61, 27, 59, 23, 55, 32, 64)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 73, 105)(69, 101, 74, 106)(70, 102, 78, 110)(72, 104, 80, 112)(75, 107, 83, 115)(76, 108, 84, 116)(77, 109, 85, 117)(79, 111, 88, 120)(81, 113, 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, 72)(3, 73)(4, 65)(5, 77)(6, 79)(7, 80)(8, 66)(9, 67)(10, 85)(11, 86)(12, 87)(13, 69)(14, 88)(15, 70)(16, 71)(17, 91)(18, 92)(19, 93)(20, 94)(21, 74)(22, 75)(23, 76)(24, 78)(25, 95)(26, 96)(27, 81)(28, 82)(29, 83)(30, 84)(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, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.295
Graph:: bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^4, (R * Y3)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1, Y1 * Y3^-1 * Y1 * Y2 * Y3, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2, Y3 * Y1^2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 24, 56, 16, 48, 30, 62, 20, 52, 5, 37)(3, 35, 11, 43, 25, 57, 18, 50, 29, 61, 8, 40, 28, 60, 13, 45)(4, 36, 15, 47, 26, 58, 23, 55, 6, 38, 22, 54, 27, 59, 17, 49)(9, 41, 14, 46, 21, 53, 32, 64, 10, 42, 12, 44, 19, 51, 31, 63)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 78, 110)(69, 101, 82, 114)(70, 102, 76, 108)(71, 103, 89, 121)(73, 105, 87, 119)(74, 106, 81, 113)(75, 107, 94, 126)(77, 109, 88, 120)(79, 111, 83, 115)(80, 112, 93, 125)(84, 116, 92, 124)(85, 117, 86, 118)(90, 122, 96, 128)(91, 123, 95, 127)
	L = (1, 68)(2, 73)(3, 76)(4, 80)(5, 83)(6, 65)(7, 90)(8, 81)(9, 94)(10, 66)(11, 87)(12, 93)(13, 79)(14, 67)(15, 82)(16, 70)(17, 75)(18, 86)(19, 88)(20, 91)(21, 69)(22, 77)(23, 72)(24, 85)(25, 95)(26, 84)(27, 71)(28, 96)(29, 78)(30, 74)(31, 92)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.296
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3, (Y1^-1 * R * Y2)^2, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y2 * Y1^2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 24, 56, 16, 48, 30, 62, 20, 52, 5, 37)(3, 35, 11, 43, 25, 57, 18, 50, 29, 61, 8, 40, 28, 60, 13, 45)(4, 36, 15, 47, 26, 58, 23, 55, 6, 38, 22, 54, 27, 59, 17, 49)(9, 41, 12, 44, 21, 53, 32, 64, 10, 42, 14, 46, 19, 51, 31, 63)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 78, 110)(69, 101, 82, 114)(70, 102, 76, 108)(71, 103, 89, 121)(73, 105, 81, 113)(74, 106, 87, 119)(75, 107, 94, 126)(77, 109, 88, 120)(79, 111, 85, 117)(80, 112, 93, 125)(83, 115, 86, 118)(84, 116, 92, 124)(90, 122, 95, 127)(91, 123, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 80)(5, 83)(6, 65)(7, 90)(8, 87)(9, 94)(10, 66)(11, 81)(12, 93)(13, 86)(14, 67)(15, 77)(16, 70)(17, 72)(18, 79)(19, 88)(20, 91)(21, 69)(22, 82)(23, 75)(24, 85)(25, 96)(26, 84)(27, 71)(28, 95)(29, 78)(30, 74)(31, 89)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.297
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y1^-4, Y3 * Y1^-2 * Y2 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 17, 49, 10, 42, 21, 53, 16, 48, 5, 37)(3, 35, 9, 41, 18, 50, 13, 45, 4, 36, 12, 44, 19, 51, 11, 43)(7, 39, 20, 52, 15, 47, 24, 56, 8, 40, 23, 55, 14, 46, 22, 54)(25, 57, 30, 62, 28, 60, 31, 63, 26, 58, 29, 61, 27, 59, 32, 64)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 78, 110)(70, 102, 82, 114)(72, 104, 85, 117)(73, 105, 89, 121)(75, 107, 91, 123)(76, 108, 90, 122)(77, 109, 92, 124)(79, 111, 81, 113)(80, 112, 83, 115)(84, 116, 93, 125)(86, 118, 95, 127)(87, 119, 94, 126)(88, 120, 96, 128)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 79)(6, 83)(7, 85)(8, 66)(9, 90)(10, 67)(11, 92)(12, 89)(13, 91)(14, 81)(15, 69)(16, 82)(17, 78)(18, 80)(19, 70)(20, 94)(21, 71)(22, 96)(23, 93)(24, 95)(25, 76)(26, 73)(27, 77)(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) :: { ( 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 E11.294
Graph:: bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^4, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 19, 51, 8, 40)(5, 37, 11, 43, 23, 55, 13, 45)(7, 39, 17, 49, 29, 61, 16, 48)(10, 42, 18, 50, 28, 60, 22, 54)(12, 44, 15, 47, 27, 59, 24, 56)(14, 46, 20, 52, 30, 62, 25, 57)(21, 53, 31, 63, 26, 58, 32, 64)(65, 97, 67, 99, 74, 106, 81, 113, 95, 127, 88, 120, 78, 110, 69, 101)(66, 98, 71, 103, 82, 114, 91, 123, 90, 122, 77, 109, 84, 116, 72, 104)(68, 100, 75, 107, 86, 118, 73, 105, 85, 117, 93, 125, 89, 121, 76, 108)(70, 102, 79, 111, 92, 124, 87, 119, 96, 128, 83, 115, 94, 126, 80, 112)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 68)(7, 81)(8, 67)(9, 83)(10, 82)(11, 87)(12, 79)(13, 69)(14, 84)(15, 91)(16, 71)(17, 93)(18, 92)(19, 72)(20, 94)(21, 95)(22, 74)(23, 77)(24, 76)(25, 78)(26, 96)(27, 88)(28, 86)(29, 80)(30, 89)(31, 90)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.292
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y3^2 * Y1^-2, Y3^2 * Y1^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 26, 58, 11, 43)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 25, 57, 17, 49)(9, 41, 23, 55, 19, 51, 22, 54)(14, 46, 24, 56, 31, 63, 29, 61)(15, 47, 21, 53, 16, 48, 27, 59)(20, 52, 28, 60, 32, 64, 30, 62)(65, 97, 67, 99, 78, 110, 87, 119, 76, 108, 91, 123, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 80, 112, 68, 100, 81, 113, 92, 124, 75, 107)(69, 101, 82, 114, 93, 125, 77, 109, 71, 103, 83, 115, 94, 126, 79, 111)(72, 104, 85, 117, 95, 127, 89, 121, 74, 106, 90, 122, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 70)(10, 69)(11, 91)(12, 66)(13, 85)(14, 92)(15, 90)(16, 67)(17, 87)(18, 86)(19, 89)(20, 88)(21, 75)(22, 81)(23, 82)(24, 96)(25, 73)(26, 80)(27, 77)(28, 95)(29, 84)(30, 78)(31, 94)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.293
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y1^4, Y3^-1 * Y1^-1 * Y2^-4, Y2^2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 27, 59, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 17, 49, 24, 56, 9, 41)(11, 43, 26, 58, 16, 48, 21, 53)(14, 46, 23, 55, 31, 63, 30, 62)(18, 50, 22, 54, 19, 51, 25, 57)(20, 52, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 78, 110, 89, 121, 74, 106, 90, 122, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 79, 111, 71, 103, 83, 115, 92, 124, 75, 107)(68, 100, 81, 113, 93, 125, 77, 109, 69, 101, 82, 114, 94, 126, 80, 112)(72, 104, 85, 117, 95, 127, 88, 120, 76, 108, 91, 123, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 75)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 86)(10, 69)(11, 91)(12, 66)(13, 90)(14, 93)(15, 85)(16, 67)(17, 89)(18, 70)(19, 88)(20, 94)(21, 77)(22, 81)(23, 84)(24, 82)(25, 73)(26, 79)(27, 80)(28, 78)(29, 95)(30, 96)(31, 92)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.291
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 11, 43)(5, 37, 13, 45)(7, 39, 16, 48)(8, 40, 18, 50)(9, 41, 19, 51)(10, 42, 21, 53)(12, 44, 17, 49)(14, 46, 24, 56)(15, 47, 26, 58)(20, 52, 25, 57)(22, 54, 28, 60)(23, 55, 27, 59)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 73, 105)(69, 101, 74, 106)(71, 103, 78, 110)(72, 104, 79, 111)(75, 107, 83, 115)(76, 108, 84, 116)(77, 109, 85, 117)(80, 112, 88, 120)(81, 113, 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, 73)(4, 76)(5, 65)(6, 78)(7, 81)(8, 66)(9, 84)(10, 67)(11, 86)(12, 69)(13, 87)(14, 89)(15, 70)(16, 91)(17, 72)(18, 92)(19, 93)(20, 74)(21, 94)(22, 77)(23, 75)(24, 95)(25, 79)(26, 96)(27, 82)(28, 80)(29, 85)(30, 83)(31, 90)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.329
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y2)^4, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 5, 37)(4, 36, 8, 40)(6, 38, 11, 43)(7, 39, 13, 45)(9, 41, 15, 47)(10, 42, 18, 50)(12, 44, 20, 52)(14, 46, 23, 55)(16, 48, 27, 59)(17, 49, 22, 54)(19, 51, 28, 60)(21, 53, 32, 64)(24, 56, 31, 63)(25, 57, 30, 62)(26, 58, 29, 61)(65, 97, 67, 99)(66, 98, 69, 101)(68, 100, 73, 105)(70, 102, 76, 108)(71, 103, 78, 110)(72, 104, 79, 111)(74, 106, 83, 115)(75, 107, 84, 116)(77, 109, 87, 119)(80, 112, 88, 120)(81, 113, 89, 121)(82, 114, 92, 124)(85, 117, 93, 125)(86, 118, 94, 126)(90, 122, 96, 128)(91, 123, 95, 127)
	L = (1, 68)(2, 70)(3, 71)(4, 65)(5, 74)(6, 66)(7, 67)(8, 80)(9, 81)(10, 69)(11, 85)(12, 86)(13, 88)(14, 89)(15, 90)(16, 72)(17, 73)(18, 93)(19, 94)(20, 95)(21, 75)(22, 76)(23, 96)(24, 77)(25, 78)(26, 79)(27, 92)(28, 91)(29, 82)(30, 83)(31, 84)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.332
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, (R * Y2 * Y3)^2, (Y1 * Y2)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 ]
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, 27, 59)(22, 54, 30, 62)(23, 55, 31, 63)(25, 57, 29, 61)(28, 60, 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, 92, 124)(83, 115, 90, 122)(87, 119, 96, 128)(88, 120, 94, 126)(89, 121, 95, 127)(91, 123, 93, 125)
	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, 92)(20, 81)(21, 93)(22, 79)(23, 77)(24, 96)(25, 80)(26, 95)(27, 94)(28, 83)(29, 85)(30, 91)(31, 90)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.330
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * R * Y3 * Y1 * Y3 * R * Y2 * Y1, (Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y2)^4, (Y2 * Y1)^8 ]
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, 12, 44)(10, 42, 14, 46)(15, 47, 25, 57)(16, 48, 23, 55)(17, 49, 26, 58)(18, 50, 21, 53)(19, 51, 28, 60)(20, 52, 29, 61)(22, 54, 30, 62)(24, 56, 32, 64)(27, 59, 31, 63)(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, 82, 114)(75, 107, 84, 116)(76, 108, 86, 118)(77, 109, 87, 119)(80, 112, 90, 122)(83, 115, 91, 123)(85, 117, 94, 126)(88, 120, 95, 127)(89, 121, 96, 128)(92, 124, 93, 125)
	L = (1, 68)(2, 70)(3, 72)(4, 65)(5, 76)(6, 66)(7, 80)(8, 67)(9, 79)(10, 83)(11, 85)(12, 69)(13, 84)(14, 88)(15, 73)(16, 71)(17, 91)(18, 92)(19, 74)(20, 77)(21, 75)(22, 95)(23, 96)(24, 78)(25, 94)(26, 93)(27, 81)(28, 82)(29, 90)(30, 89)(31, 86)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.331
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = C2 x C2 x D16 (small group id <64, 250>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y2^4, Y3^4 * Y2^2 ]
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, 18, 50)(12, 44, 23, 55)(13, 45, 22, 54)(14, 46, 24, 56)(15, 47, 20, 52)(16, 48, 19, 51)(17, 49, 21, 53)(25, 57, 30, 62)(26, 58, 29, 61)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 82, 114, 73, 105)(68, 100, 76, 108, 89, 121, 79, 111)(70, 102, 77, 109, 90, 122, 80, 112)(72, 104, 83, 115, 93, 125, 86, 118)(74, 106, 84, 116, 94, 126, 87, 119)(78, 110, 91, 123, 81, 113, 92, 124)(85, 117, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 83)(8, 85)(9, 86)(10, 66)(11, 89)(12, 91)(13, 67)(14, 90)(15, 92)(16, 69)(17, 70)(18, 93)(19, 95)(20, 71)(21, 94)(22, 96)(23, 73)(24, 74)(25, 81)(26, 75)(27, 80)(28, 77)(29, 88)(30, 82)(31, 87)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.319
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
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^-1 * Y3^-2 * Y2^-1, Y3^4, (R * Y1)^2, Y3^2 * Y2^-2, (Y3 * Y1)^2, Y3^2 * Y2^2, (R * Y3)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y2^-1 * Y1 * Y3^2 * Y1 * Y2^-1, (Y3^-1 * Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y2)^8 ]
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, 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, 30, 62)(26, 58, 29, 61)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 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, 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, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.320
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (Y3^-1 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y2^4, Y3 * Y2 * Y3^3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 10, 42)(5, 37, 9, 41)(6, 38, 8, 40)(11, 43, 18, 50)(12, 44, 20, 52)(13, 45, 19, 51)(14, 46, 23, 55)(15, 47, 24, 56)(16, 48, 21, 53)(17, 49, 22, 54)(25, 57, 30, 62)(26, 58, 29, 61)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 82, 114, 73, 105)(68, 100, 78, 110, 89, 121, 76, 108)(70, 102, 80, 112, 90, 122, 77, 109)(72, 104, 85, 117, 93, 125, 83, 115)(74, 106, 87, 119, 94, 126, 84, 116)(79, 111, 91, 123, 81, 113, 92, 124)(86, 118, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 78)(6, 65)(7, 83)(8, 86)(9, 85)(10, 66)(11, 89)(12, 91)(13, 67)(14, 92)(15, 90)(16, 69)(17, 70)(18, 93)(19, 95)(20, 71)(21, 96)(22, 94)(23, 73)(24, 74)(25, 81)(26, 75)(27, 80)(28, 77)(29, 88)(30, 82)(31, 87)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.325
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, (R * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 14, 46)(10, 42, 15, 47)(11, 43, 16, 48)(12, 44, 17, 49)(13, 45, 18, 50)(19, 51, 24, 56)(20, 52, 25, 57)(21, 53, 26, 58)(22, 54, 27, 59)(23, 55, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 73, 105, 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, 94, 126, 87, 119, 93, 125)(91, 123, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 79)(7, 66)(8, 82)(9, 83)(10, 67)(11, 86)(12, 87)(13, 69)(14, 88)(15, 70)(16, 91)(17, 92)(18, 72)(19, 73)(20, 93)(21, 94)(22, 75)(23, 76)(24, 78)(25, 95)(26, 96)(27, 80)(28, 81)(29, 84)(30, 85)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.324
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2, (Y2 * Y3 * Y2^-1 * Y1)^2 ]
Map:: 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, 94, 126, 87, 119, 93, 125)(91, 123, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 79)(7, 66)(8, 82)(9, 83)(10, 67)(11, 86)(12, 87)(13, 69)(14, 88)(15, 70)(16, 91)(17, 92)(18, 72)(19, 73)(20, 93)(21, 94)(22, 75)(23, 76)(24, 78)(25, 95)(26, 96)(27, 80)(28, 81)(29, 84)(30, 85)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.323
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3, (Y3 * Y2^-2)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1, (Y3 * Y2)^8 ]
Map:: 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, 29, 61)(24, 56, 28, 60)(25, 57, 30, 62)(26, 58, 32, 64)(27, 59, 31, 63)(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, 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, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.321
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y2 * Y1 * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 ]
Map:: 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, 29, 61)(24, 56, 28, 60)(25, 57, 30, 62)(26, 58, 32, 64)(27, 59, 31, 63)(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, 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, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.322
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.316 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^4, Y3^4 * Y2^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 10, 42)(5, 37, 9, 41)(6, 38, 8, 40)(11, 43, 18, 50)(12, 44, 20, 52)(13, 45, 19, 51)(14, 46, 24, 56)(15, 47, 23, 55)(16, 48, 22, 54)(17, 49, 21, 53)(25, 57, 30, 62)(26, 58, 29, 61)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 82, 114, 73, 105)(68, 100, 76, 108, 89, 121, 79, 111)(70, 102, 77, 109, 90, 122, 80, 112)(72, 104, 83, 115, 93, 125, 86, 118)(74, 106, 84, 116, 94, 126, 87, 119)(78, 110, 91, 123, 81, 113, 92, 124)(85, 117, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 83)(8, 85)(9, 86)(10, 66)(11, 89)(12, 91)(13, 67)(14, 90)(15, 92)(16, 69)(17, 70)(18, 93)(19, 95)(20, 71)(21, 94)(22, 96)(23, 73)(24, 74)(25, 81)(26, 75)(27, 80)(28, 77)(29, 88)(30, 82)(31, 87)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.327
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.317 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y2^4, R * Y2 * R * Y2^-1, Y3 * Y2 * Y3^3 * Y2^-1 ]
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, 18, 50)(12, 44, 23, 55)(13, 45, 21, 53)(14, 46, 20, 52)(15, 47, 24, 56)(16, 48, 19, 51)(17, 49, 22, 54)(25, 57, 30, 62)(26, 58, 29, 61)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 82, 114, 73, 105)(68, 100, 78, 110, 89, 121, 76, 108)(70, 102, 80, 112, 90, 122, 77, 109)(72, 104, 85, 117, 93, 125, 83, 115)(74, 106, 87, 119, 94, 126, 84, 116)(79, 111, 91, 123, 81, 113, 92, 124)(86, 118, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 78)(6, 65)(7, 83)(8, 86)(9, 85)(10, 66)(11, 89)(12, 91)(13, 67)(14, 92)(15, 90)(16, 69)(17, 70)(18, 93)(19, 95)(20, 71)(21, 96)(22, 94)(23, 73)(24, 74)(25, 81)(26, 75)(27, 80)(28, 77)(29, 88)(30, 82)(31, 87)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.328
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.318 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^-2 * Y2^2, Y3^-1 * Y2^-2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
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, 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, 94, 126, 88, 120, 93, 125)(91, 123, 96, 128, 92, 124, 95, 127)
	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, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.326
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.319 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = C2 x C2 x D16 (small group id <64, 250>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^4, Y3^2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 16, 48, 25, 57, 23, 55, 14, 46, 5, 37)(3, 35, 11, 43, 21, 53, 29, 61, 31, 63, 26, 58, 17, 49, 8, 40)(4, 36, 9, 41, 18, 50, 27, 59, 24, 56, 15, 47, 6, 38, 10, 42)(12, 44, 22, 54, 30, 62, 32, 64, 28, 60, 20, 52, 13, 45, 19, 51)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 77, 109)(69, 101, 75, 107)(70, 102, 76, 108)(71, 103, 81, 113)(73, 105, 84, 116)(74, 106, 83, 115)(78, 110, 85, 117)(79, 111, 86, 118)(80, 112, 90, 122)(82, 114, 92, 124)(87, 119, 93, 125)(88, 120, 94, 126)(89, 121, 95, 127)(91, 123, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 71)(5, 74)(6, 65)(7, 82)(8, 83)(9, 80)(10, 66)(11, 86)(12, 85)(13, 67)(14, 70)(15, 69)(16, 91)(17, 77)(18, 89)(19, 75)(20, 72)(21, 94)(22, 93)(23, 79)(24, 78)(25, 88)(26, 84)(27, 87)(28, 81)(29, 96)(30, 95)(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, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.309
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.320 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
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 :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, Y3^4, Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^2 * Y1^-3, Y1^-1 * Y3^2 * Y1 * Y3^2, Y3^-1 * Y2 * Y1^2 * Y3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 15, 47, 24, 56, 16, 48, 5, 37)(3, 35, 8, 40, 19, 51, 29, 61, 26, 58, 32, 64, 27, 59, 12, 44)(4, 36, 14, 46, 21, 53, 10, 42, 6, 38, 17, 49, 20, 52, 9, 41)(11, 43, 25, 57, 31, 63, 23, 55, 13, 45, 28, 60, 30, 62, 22, 54)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 77, 109)(69, 101, 76, 108)(70, 102, 75, 107)(71, 103, 83, 115)(73, 105, 87, 119)(74, 106, 86, 118)(78, 110, 92, 124)(79, 111, 90, 122)(80, 112, 91, 123)(81, 113, 89, 121)(82, 114, 93, 125)(84, 116, 95, 127)(85, 117, 94, 126)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 79)(5, 78)(6, 65)(7, 84)(8, 86)(9, 88)(10, 66)(11, 90)(12, 89)(13, 67)(14, 82)(15, 70)(16, 85)(17, 69)(18, 81)(19, 94)(20, 80)(21, 71)(22, 96)(23, 72)(24, 74)(25, 93)(26, 77)(27, 95)(28, 76)(29, 92)(30, 91)(31, 83)(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, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.310
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^-1 * Y2 * Y1 * Y2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 15, 47, 26, 58, 25, 57, 14, 46, 5, 37)(3, 35, 7, 39, 16, 48, 27, 59, 32, 64, 31, 63, 24, 56, 10, 42)(4, 36, 11, 43, 20, 52, 8, 40, 19, 51, 13, 45, 17, 49, 12, 44)(9, 41, 21, 53, 30, 62, 18, 50, 29, 61, 23, 55, 28, 60, 22, 54)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 73, 105)(69, 101, 74, 106)(70, 102, 80, 112)(72, 104, 82, 114)(75, 107, 85, 117)(76, 108, 86, 118)(77, 109, 87, 119)(78, 110, 88, 120)(79, 111, 91, 123)(81, 113, 92, 124)(83, 115, 93, 125)(84, 116, 94, 126)(89, 121, 95, 127)(90, 122, 96, 128)
	L = (1, 68)(2, 72)(3, 73)(4, 65)(5, 77)(6, 81)(7, 82)(8, 66)(9, 67)(10, 87)(11, 79)(12, 89)(13, 69)(14, 84)(15, 75)(16, 92)(17, 70)(18, 71)(19, 90)(20, 78)(21, 91)(22, 95)(23, 74)(24, 94)(25, 76)(26, 83)(27, 85)(28, 80)(29, 96)(30, 88)(31, 86)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E11.314
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1, Y1^3 * Y3 * Y1^-1 * Y3, (Y3 * Y1^-2)^2, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 17, 49, 29, 61, 25, 57, 16, 48, 5, 37)(3, 35, 9, 41, 18, 50, 14, 46, 22, 54, 7, 39, 20, 52, 11, 43)(4, 36, 12, 44, 24, 56, 8, 40, 23, 55, 15, 47, 19, 51, 13, 45)(10, 42, 27, 59, 31, 63, 26, 58, 32, 64, 28, 60, 30, 62, 21, 53)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 78, 110)(70, 102, 82, 114)(72, 104, 85, 117)(73, 105, 89, 121)(75, 107, 81, 113)(76, 108, 92, 124)(77, 109, 90, 122)(79, 111, 91, 123)(80, 112, 84, 116)(83, 115, 94, 126)(86, 118, 93, 125)(87, 119, 96, 128)(88, 120, 95, 127)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 79)(6, 83)(7, 85)(8, 66)(9, 90)(10, 67)(11, 92)(12, 81)(13, 89)(14, 91)(15, 69)(16, 88)(17, 76)(18, 94)(19, 70)(20, 95)(21, 71)(22, 96)(23, 93)(24, 80)(25, 77)(26, 73)(27, 78)(28, 75)(29, 87)(30, 82)(31, 84)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.315
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, Y1^8, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 15, 47, 26, 58, 25, 57, 14, 46, 5, 37)(3, 35, 9, 41, 21, 53, 31, 63, 32, 64, 27, 59, 16, 48, 7, 39)(4, 36, 11, 43, 20, 52, 8, 40, 19, 51, 13, 45, 17, 49, 12, 44)(10, 42, 23, 55, 28, 60, 22, 54, 30, 62, 18, 50, 29, 61, 24, 56)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 73, 105)(70, 102, 80, 112)(72, 104, 82, 114)(75, 107, 88, 120)(76, 108, 87, 119)(77, 109, 86, 118)(78, 110, 85, 117)(79, 111, 91, 123)(81, 113, 92, 124)(83, 115, 94, 126)(84, 116, 93, 125)(89, 121, 95, 127)(90, 122, 96, 128)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 77)(6, 81)(7, 82)(8, 66)(9, 86)(10, 67)(11, 79)(12, 89)(13, 69)(14, 84)(15, 75)(16, 92)(17, 70)(18, 71)(19, 90)(20, 78)(21, 93)(22, 73)(23, 95)(24, 91)(25, 76)(26, 83)(27, 88)(28, 80)(29, 85)(30, 96)(31, 87)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.313
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-3, (Y2 * Y1^-2)^2, (Y3 * Y1^-2)^2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 17, 49, 29, 61, 27, 59, 16, 48, 5, 37)(3, 35, 9, 41, 22, 54, 7, 39, 20, 52, 14, 46, 18, 50, 11, 43)(4, 36, 12, 44, 24, 56, 8, 40, 23, 55, 15, 47, 19, 51, 13, 45)(10, 42, 21, 53, 30, 62, 25, 57, 31, 63, 28, 60, 32, 64, 26, 58)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 78, 110)(70, 102, 82, 114)(72, 104, 85, 117)(73, 105, 81, 113)(75, 107, 91, 123)(76, 108, 89, 121)(77, 109, 92, 124)(79, 111, 90, 122)(80, 112, 86, 118)(83, 115, 94, 126)(84, 116, 93, 125)(87, 119, 95, 127)(88, 120, 96, 128)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 79)(6, 83)(7, 85)(8, 66)(9, 89)(10, 67)(11, 92)(12, 81)(13, 91)(14, 90)(15, 69)(16, 88)(17, 76)(18, 94)(19, 70)(20, 95)(21, 71)(22, 96)(23, 93)(24, 80)(25, 73)(26, 78)(27, 77)(28, 75)(29, 87)(30, 82)(31, 84)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.312
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^-2 * Y1^-2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3 * Y1^-3 * Y3 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1^-1)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^5 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 30, 62, 28, 60, 16, 48, 5, 37)(3, 35, 11, 43, 24, 56, 8, 40, 22, 54, 17, 49, 20, 52, 13, 45)(4, 36, 15, 47, 6, 38, 18, 50, 21, 53, 9, 41, 26, 58, 10, 42)(12, 44, 25, 57, 14, 46, 29, 61, 32, 64, 27, 59, 31, 63, 23, 55)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 78, 110)(69, 101, 81, 113)(70, 102, 76, 108)(71, 103, 84, 116)(73, 105, 89, 121)(74, 106, 87, 119)(75, 107, 83, 115)(77, 109, 92, 124)(79, 111, 91, 123)(80, 112, 88, 120)(82, 114, 93, 125)(85, 117, 95, 127)(86, 118, 94, 126)(90, 122, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 80)(5, 82)(6, 65)(7, 70)(8, 87)(9, 69)(10, 66)(11, 91)(12, 84)(13, 93)(14, 67)(15, 83)(16, 90)(17, 89)(18, 92)(19, 74)(20, 95)(21, 71)(22, 96)(23, 75)(24, 78)(25, 72)(26, 94)(27, 77)(28, 79)(29, 81)(30, 85)(31, 86)(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, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.311
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^4, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 15, 47, 24, 56, 16, 48, 5, 37)(3, 35, 11, 43, 25, 57, 32, 64, 28, 60, 29, 61, 19, 51, 8, 40)(4, 36, 14, 46, 21, 53, 10, 42, 6, 38, 17, 49, 20, 52, 9, 41)(12, 44, 22, 54, 30, 62, 27, 59, 13, 45, 23, 55, 31, 63, 26, 58)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 77, 109)(69, 101, 75, 107)(70, 102, 76, 108)(71, 103, 83, 115)(73, 105, 87, 119)(74, 106, 86, 118)(78, 110, 91, 123)(79, 111, 92, 124)(80, 112, 89, 121)(81, 113, 90, 122)(82, 114, 93, 125)(84, 116, 95, 127)(85, 117, 94, 126)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 78)(6, 65)(7, 84)(8, 86)(9, 88)(10, 66)(11, 90)(12, 92)(13, 67)(14, 82)(15, 70)(16, 85)(17, 69)(18, 81)(19, 94)(20, 80)(21, 71)(22, 96)(23, 72)(24, 74)(25, 95)(26, 93)(27, 75)(28, 77)(29, 91)(30, 89)(31, 83)(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, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.318
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y3^2 * Y1^-1, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^5, (Y1^-1 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 29, 61, 26, 58, 16, 48, 5, 37)(3, 35, 11, 43, 23, 55, 8, 40, 21, 53, 15, 47, 19, 51, 13, 45)(4, 36, 9, 41, 20, 52, 30, 62, 28, 60, 17, 49, 6, 38, 10, 42)(12, 44, 24, 56, 32, 64, 22, 54, 31, 63, 27, 59, 14, 46, 25, 57)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 78, 110)(69, 101, 79, 111)(70, 102, 76, 108)(71, 103, 83, 115)(73, 105, 88, 120)(74, 106, 86, 118)(75, 107, 82, 114)(77, 109, 90, 122)(80, 112, 87, 119)(81, 113, 91, 123)(84, 116, 95, 127)(85, 117, 93, 125)(89, 121, 94, 126)(92, 124, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 71)(5, 74)(6, 65)(7, 84)(8, 86)(9, 82)(10, 66)(11, 88)(12, 87)(13, 89)(14, 67)(15, 91)(16, 70)(17, 69)(18, 94)(19, 78)(20, 93)(21, 95)(22, 79)(23, 96)(24, 72)(25, 75)(26, 81)(27, 77)(28, 80)(29, 92)(30, 90)(31, 83)(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, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.316
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-2 * Y3^-1, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 17, 49, 27, 59, 26, 58, 15, 47, 5, 37)(3, 35, 11, 43, 23, 55, 31, 63, 32, 64, 28, 60, 18, 50, 8, 40)(4, 36, 14, 46, 6, 38, 16, 48, 19, 51, 9, 41, 22, 54, 10, 42)(12, 44, 25, 57, 13, 45, 20, 52, 30, 62, 21, 53, 29, 61, 24, 56)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 77, 109)(69, 101, 75, 107)(70, 102, 76, 108)(71, 103, 82, 114)(73, 105, 85, 117)(74, 106, 84, 116)(78, 110, 89, 121)(79, 111, 87, 119)(80, 112, 88, 120)(81, 113, 92, 124)(83, 115, 93, 125)(86, 118, 94, 126)(90, 122, 95, 127)(91, 123, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 65)(7, 70)(8, 84)(9, 69)(10, 66)(11, 85)(12, 82)(13, 67)(14, 81)(15, 86)(16, 90)(17, 74)(18, 93)(19, 71)(20, 92)(21, 72)(22, 91)(23, 77)(24, 75)(25, 95)(26, 78)(27, 83)(28, 89)(29, 96)(30, 87)(31, 88)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.317
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, Y3^-2 * Y1^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), Y1^4, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 11, 43)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 9, 41)(14, 46, 28, 60, 20, 52, 23, 55)(15, 47, 26, 58, 16, 48, 27, 59)(17, 49, 24, 56, 19, 51, 25, 57)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 77, 109, 69, 101, 82, 114, 92, 124, 75, 107)(68, 100, 81, 113, 94, 126, 79, 111, 71, 103, 83, 115, 93, 125, 80, 112)(74, 106, 90, 122, 96, 128, 88, 120, 76, 108, 91, 123, 95, 127, 89, 121)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 90)(14, 93)(15, 85)(16, 67)(17, 70)(18, 89)(19, 86)(20, 94)(21, 80)(22, 81)(23, 95)(24, 82)(25, 73)(26, 75)(27, 77)(28, 96)(29, 84)(30, 78)(31, 92)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.305
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, (Y3 * Y1^-1)^2, (Y2^-1 * Y3)^2, Y1^-1 * Y2^-4 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 18, 50, 13, 45)(4, 36, 14, 46, 19, 51, 9, 41)(6, 38, 8, 40, 20, 52, 16, 48)(11, 43, 24, 56, 17, 49, 21, 53)(12, 44, 26, 58, 29, 61, 23, 55)(15, 47, 27, 59, 30, 62, 22, 54)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 77, 109, 69, 101, 80, 112, 88, 120, 74, 106)(68, 100, 79, 111, 92, 124, 93, 125, 83, 115, 94, 126, 89, 121, 76, 108)(73, 105, 87, 119, 96, 128, 91, 123, 78, 110, 90, 122, 95, 127, 86, 118)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 67)(13, 90)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 77)(27, 80)(28, 81)(29, 82)(30, 84)(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 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.307
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, R * Y2 * R * Y2^-1, (Y1^-1 * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y2^-1 * Y3)^2, Y1^-1 * Y2^4 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 8, 40)(4, 36, 14, 46, 19, 51, 9, 41)(6, 38, 16, 48, 20, 52, 10, 42)(12, 44, 21, 53, 17, 49, 24, 56)(13, 45, 22, 54, 29, 61, 25, 57)(15, 47, 23, 55, 30, 62, 27, 59)(26, 58, 32, 64, 28, 60, 31, 63)(65, 97, 67, 99, 76, 108, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 80, 112, 69, 101, 75, 107, 88, 120, 74, 106)(68, 100, 79, 111, 92, 124, 93, 125, 83, 115, 94, 126, 90, 122, 77, 109)(73, 105, 87, 119, 96, 128, 89, 121, 78, 110, 91, 123, 95, 127, 86, 118)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 90)(13, 67)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 76)(27, 80)(28, 81)(29, 82)(30, 84)(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 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.308
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, R * Y2 * R * Y2^-1, (Y2^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y3)^2, Y1^-1 * Y2^-4 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 10, 42)(4, 36, 14, 46, 19, 51, 9, 41)(6, 38, 16, 48, 20, 52, 8, 40)(12, 44, 24, 56, 17, 49, 21, 53)(13, 45, 23, 55, 29, 61, 25, 57)(15, 47, 22, 54, 30, 62, 27, 59)(26, 58, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 76, 108, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 75, 107, 69, 101, 80, 112, 88, 120, 74, 106)(68, 100, 79, 111, 92, 124, 93, 125, 83, 115, 94, 126, 90, 122, 77, 109)(73, 105, 87, 119, 96, 128, 91, 123, 78, 110, 89, 121, 95, 127, 86, 118)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 90)(13, 67)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 76)(27, 80)(28, 81)(29, 82)(30, 84)(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 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.306
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^4, Y3 * Y2^2 * Y3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^8 ]
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, 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, 94, 126, 88, 120, 93, 125)(91, 123, 96, 128, 92, 124, 95, 127)
	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, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.334
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, Y2 * Y1^3 * Y2 * Y1^-1, Y3^-2 * Y2 * R * Y2 * R, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 16, 48, 28, 60, 18, 50, 5, 37)(3, 35, 11, 43, 26, 58, 8, 40, 24, 56, 17, 49, 21, 53, 13, 45)(4, 36, 15, 47, 23, 55, 10, 42, 6, 38, 19, 51, 22, 54, 9, 41)(12, 44, 27, 59, 31, 63, 30, 62, 14, 46, 25, 57, 32, 64, 29, 61)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 78, 110)(69, 101, 81, 113)(70, 102, 76, 108)(71, 103, 85, 117)(73, 105, 91, 123)(74, 106, 89, 121)(75, 107, 84, 116)(77, 109, 92, 124)(79, 111, 93, 125)(80, 112, 88, 120)(82, 114, 90, 122)(83, 115, 94, 126)(86, 118, 96, 128)(87, 119, 95, 127)
	L = (1, 68)(2, 73)(3, 76)(4, 80)(5, 79)(6, 65)(7, 86)(8, 89)(9, 92)(10, 66)(11, 93)(12, 88)(13, 91)(14, 67)(15, 84)(16, 70)(17, 94)(18, 87)(19, 69)(20, 83)(21, 95)(22, 82)(23, 71)(24, 78)(25, 77)(26, 96)(27, 72)(28, 74)(29, 81)(30, 75)(31, 90)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.333
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y2, Y3^4, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y2 * Y3^2 * Y1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 14, 46)(6, 38, 15, 47)(7, 39, 18, 50)(8, 40, 20, 52)(10, 42, 21, 53)(11, 43, 22, 54)(13, 45, 19, 51)(16, 48, 25, 57)(17, 49, 26, 58)(23, 55, 28, 60)(24, 56, 27, 59)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 74, 106)(69, 101, 75, 107)(71, 103, 80, 112)(72, 104, 81, 113)(73, 105, 83, 115)(76, 108, 86, 118)(77, 109, 79, 111)(78, 110, 85, 117)(82, 114, 90, 122)(84, 116, 89, 121)(87, 119, 94, 126)(88, 120, 93, 125)(91, 123, 96, 128)(92, 124, 95, 127)
	L = (1, 68)(2, 71)(3, 74)(4, 77)(5, 65)(6, 80)(7, 83)(8, 66)(9, 81)(10, 79)(11, 67)(12, 87)(13, 69)(14, 88)(15, 75)(16, 73)(17, 70)(18, 91)(19, 72)(20, 92)(21, 93)(22, 94)(23, 78)(24, 76)(25, 95)(26, 96)(27, 84)(28, 82)(29, 86)(30, 85)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.338
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2 * Y3, Y3^4, (Y3 * Y1)^2, (R * Y1)^2, Y3^-1 * Y2^2 * Y3^-1, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3, Y2^-1 * Y1 * Y3^2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * 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, 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, 30, 62)(26, 58, 29, 61)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 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, 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, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.337
Graph:: simple bipartite
	v = 24 e = 64 f = 20
	degree seq :: [ 4^16, 8^8 ]

E11.337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1, Y2 * Y1^2 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 16, 48, 28, 60, 18, 50, 5, 37)(3, 35, 11, 43, 21, 53, 17, 49, 26, 58, 8, 40, 24, 56, 13, 45)(4, 36, 15, 47, 23, 55, 10, 42, 6, 38, 19, 51, 22, 54, 9, 41)(12, 44, 29, 61, 32, 64, 25, 57, 14, 46, 30, 62, 31, 63, 27, 59)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 78, 110)(69, 101, 81, 113)(70, 102, 76, 108)(71, 103, 85, 117)(73, 105, 91, 123)(74, 106, 89, 121)(75, 107, 92, 124)(77, 109, 84, 116)(79, 111, 93, 125)(80, 112, 90, 122)(82, 114, 88, 120)(83, 115, 94, 126)(86, 118, 96, 128)(87, 119, 95, 127)
	L = (1, 68)(2, 73)(3, 76)(4, 80)(5, 79)(6, 65)(7, 86)(8, 89)(9, 92)(10, 66)(11, 91)(12, 90)(13, 93)(14, 67)(15, 84)(16, 70)(17, 94)(18, 87)(19, 69)(20, 83)(21, 95)(22, 82)(23, 71)(24, 96)(25, 75)(26, 78)(27, 72)(28, 74)(29, 81)(30, 77)(31, 88)(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, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.336
Graph:: simple bipartite
	v = 20 e = 64 f = 24
	degree seq :: [ 4^16, 16^4 ]

E11.338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (R * Y3)^2, Y3^-2 * Y1^2, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3^-1, Y1^-1), (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 9, 41, 22, 54, 18, 50)(13, 45, 28, 60, 20, 52, 23, 55)(14, 46, 27, 59, 16, 48, 26, 58)(17, 49, 25, 57, 19, 51, 24, 56)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 77, 109, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 79, 111, 69, 101, 82, 114, 92, 124, 75, 107)(68, 100, 81, 113, 94, 126, 78, 110, 71, 103, 83, 115, 93, 125, 80, 112)(74, 106, 90, 122, 96, 128, 88, 120, 76, 108, 91, 123, 95, 127, 89, 121)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 93)(14, 85)(15, 90)(16, 67)(17, 70)(18, 89)(19, 86)(20, 94)(21, 80)(22, 81)(23, 95)(24, 82)(25, 73)(26, 75)(27, 79)(28, 96)(29, 84)(30, 77)(31, 92)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.335
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.339 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 8})
Quotient :: edge
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-2, T2^8, T1^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 26, 25, 13, 5)(2, 7, 17, 31, 22, 32, 18, 8)(4, 9, 20, 28, 14, 27, 24, 12)(6, 15, 29, 23, 11, 19, 30, 16)(33, 34, 38, 46, 58, 54, 43, 36)(35, 41, 51, 64, 57, 59, 47, 39)(37, 44, 55, 63, 53, 60, 48, 40)(42, 49, 61, 56, 45, 50, 62, 52)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.341
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 32 f = 4
	degree seq :: [ 8^8 ]

E11.340 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 8})
Quotient :: edge
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T1^-1 * T2 * T1 * T2^-1 * T1^-2, T1^-2 * T2 * T1^-2 * T2^-1, T2 * T1^3 * T2^-1 * T1^-1, T2^3 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 24, 30, 21, 17, 5)(2, 7, 22, 16, 29, 11, 26, 8)(4, 12, 28, 15, 18, 9, 27, 14)(6, 19, 31, 25, 13, 23, 32, 20)(33, 34, 38, 50, 62, 61, 45, 36)(35, 41, 55, 39, 53, 44, 51, 43)(37, 47, 57, 40, 56, 46, 52, 48)(42, 54, 63, 59, 49, 58, 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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.342
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 32 f = 4
	degree seq :: [ 8^8 ]

E11.341 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 8})
Quotient :: loop
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-2, T2^8, T1^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 21, 53, 26, 58, 25, 57, 13, 45, 5, 37)(2, 34, 7, 39, 17, 49, 31, 63, 22, 54, 32, 64, 18, 50, 8, 40)(4, 36, 9, 41, 20, 52, 28, 60, 14, 46, 27, 59, 24, 56, 12, 44)(6, 38, 15, 47, 29, 61, 23, 55, 11, 43, 19, 51, 30, 62, 16, 48)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 44)(6, 46)(7, 35)(8, 37)(9, 51)(10, 49)(11, 36)(12, 55)(13, 50)(14, 58)(15, 39)(16, 40)(17, 61)(18, 62)(19, 64)(20, 42)(21, 60)(22, 43)(23, 63)(24, 45)(25, 59)(26, 54)(27, 47)(28, 48)(29, 56)(30, 52)(31, 53)(32, 57)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E11.339
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 8
	degree seq :: [ 16^4 ]

E11.342 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 8})
Quotient :: loop
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T1^-1 * T2 * T1 * T2^-1 * T1^-2, T1^-2 * T2 * T1^-2 * T2^-1, T2 * T1^3 * T2^-1 * T1^-1, T2^3 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 24, 56, 30, 62, 21, 53, 17, 49, 5, 37)(2, 34, 7, 39, 22, 54, 16, 48, 29, 61, 11, 43, 26, 58, 8, 40)(4, 36, 12, 44, 28, 60, 15, 47, 18, 50, 9, 41, 27, 59, 14, 46)(6, 38, 19, 51, 31, 63, 25, 57, 13, 45, 23, 55, 32, 64, 20, 52)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 47)(6, 50)(7, 53)(8, 56)(9, 55)(10, 54)(11, 35)(12, 51)(13, 36)(14, 52)(15, 57)(16, 37)(17, 58)(18, 62)(19, 43)(20, 48)(21, 44)(22, 63)(23, 39)(24, 46)(25, 40)(26, 64)(27, 49)(28, 42)(29, 45)(30, 61)(31, 59)(32, 60)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E11.340
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 8
	degree seq :: [ 16^4 ]

E11.343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2 * Y1 * Y2 * Y1^-1, Y2^2 * Y3 * Y2^-2 * Y1^-3, Y3 * Y2^-1 * Y3^2 * Y2^-3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^2 * Y1^-2, Y3^8, Y2^8, Y1^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 14, 46, 26, 58, 24, 56, 12, 44, 4, 36)(3, 35, 8, 40, 15, 47, 28, 60, 25, 57, 31, 63, 21, 53, 10, 42)(5, 37, 7, 39, 16, 48, 27, 59, 19, 51, 32, 64, 23, 55, 11, 43)(9, 41, 18, 50, 29, 61, 22, 54, 13, 45, 17, 49, 30, 62, 20, 52)(65, 97, 67, 99, 73, 105, 83, 115, 90, 122, 89, 121, 77, 109, 69, 101)(66, 98, 71, 103, 81, 113, 95, 127, 88, 120, 96, 128, 82, 114, 72, 104)(68, 100, 75, 107, 86, 118, 92, 124, 78, 110, 91, 123, 84, 116, 74, 106)(70, 102, 79, 111, 93, 125, 87, 119, 76, 108, 85, 117, 94, 126, 80, 112)
	L = (1, 68)(2, 65)(3, 74)(4, 76)(5, 75)(6, 66)(7, 69)(8, 67)(9, 84)(10, 85)(11, 87)(12, 88)(13, 86)(14, 70)(15, 72)(16, 71)(17, 77)(18, 73)(19, 91)(20, 94)(21, 95)(22, 93)(23, 96)(24, 90)(25, 92)(26, 78)(27, 80)(28, 79)(29, 82)(30, 81)(31, 89)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.345
Graph:: bipartite
	v = 8 e = 64 f = 36
	degree seq :: [ 16^8 ]

E11.344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^2 * Y1^-1 * Y2^2, Y2 * Y1^-1 * Y2^-3 * Y1, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^3 * Y1^-1, Y2 * Y3 * Y1^-2 * Y2 * Y1^-1, Y3^3 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^8, (Y3^-1 * Y1)^4 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 18, 50, 30, 62, 27, 59, 13, 45, 4, 36)(3, 35, 9, 41, 19, 51, 14, 46, 25, 57, 8, 40, 24, 56, 11, 43)(5, 37, 15, 47, 20, 52, 12, 44, 23, 55, 7, 39, 21, 53, 16, 48)(10, 42, 26, 58, 31, 63, 29, 61, 17, 49, 22, 54, 32, 64, 28, 60)(65, 97, 67, 99, 74, 106, 87, 119, 94, 126, 89, 121, 81, 113, 69, 101)(66, 98, 71, 103, 86, 118, 73, 105, 91, 123, 79, 111, 90, 122, 72, 104)(68, 100, 76, 108, 93, 125, 75, 107, 82, 114, 80, 112, 92, 124, 78, 110)(70, 102, 83, 115, 95, 127, 85, 117, 77, 109, 88, 120, 96, 128, 84, 116)
	L = (1, 68)(2, 65)(3, 75)(4, 77)(5, 80)(6, 66)(7, 87)(8, 89)(9, 67)(10, 92)(11, 88)(12, 84)(13, 91)(14, 83)(15, 69)(16, 85)(17, 93)(18, 70)(19, 73)(20, 79)(21, 71)(22, 81)(23, 76)(24, 72)(25, 78)(26, 74)(27, 94)(28, 96)(29, 95)(30, 82)(31, 90)(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) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.346
Graph:: bipartite
	v = 8 e = 64 f = 36
	degree seq :: [ 16^8 ]

E11.345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-3 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-2, Y2^8, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (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)(65, 97, 66, 98, 70, 102, 78, 110, 90, 122, 88, 120, 76, 108, 68, 100)(67, 99, 72, 104, 79, 111, 92, 124, 89, 121, 95, 127, 85, 117, 74, 106)(69, 101, 71, 103, 80, 112, 91, 123, 83, 115, 96, 128, 87, 119, 75, 107)(73, 105, 82, 114, 93, 125, 86, 118, 77, 109, 81, 113, 94, 126, 84, 116)
	L = (1, 67)(2, 71)(3, 73)(4, 75)(5, 65)(6, 79)(7, 81)(8, 66)(9, 83)(10, 68)(11, 86)(12, 85)(13, 69)(14, 91)(15, 93)(16, 70)(17, 95)(18, 72)(19, 90)(20, 74)(21, 94)(22, 92)(23, 76)(24, 96)(25, 77)(26, 89)(27, 84)(28, 78)(29, 87)(30, 80)(31, 88)(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) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E11.343
Graph:: simple bipartite
	v = 36 e = 64 f = 8
	degree seq :: [ 2^32, 16^4 ]

E11.346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^3, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^3 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, (Y2^-2 * R)^2, Y3 * Y2 * Y3^-3 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (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)(65, 97, 66, 98, 70, 102, 82, 114, 94, 126, 91, 123, 77, 109, 68, 100)(67, 99, 73, 105, 83, 115, 78, 110, 89, 121, 72, 104, 88, 120, 75, 107)(69, 101, 79, 111, 84, 116, 76, 108, 87, 119, 71, 103, 85, 117, 80, 112)(74, 106, 90, 122, 95, 127, 93, 125, 81, 113, 86, 118, 96, 128, 92, 124)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 83)(7, 86)(8, 66)(9, 91)(10, 87)(11, 82)(12, 93)(13, 88)(14, 68)(15, 90)(16, 92)(17, 69)(18, 80)(19, 95)(20, 70)(21, 77)(22, 73)(23, 94)(24, 96)(25, 81)(26, 72)(27, 79)(28, 78)(29, 75)(30, 89)(31, 85)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E11.344
Graph:: simple bipartite
	v = 36 e = 64 f = 8
	degree seq :: [ 2^32, 16^4 ]

E11.347 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ F^2, T1^4, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^8 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 30, 22, 14, 6, 13, 21, 29, 28, 20, 12, 5)(2, 7, 15, 23, 31, 27, 19, 11, 4, 10, 18, 26, 32, 24, 16, 8)(33, 34, 38, 36)(35, 39, 45, 42)(37, 40, 46, 43)(41, 47, 53, 50)(44, 48, 54, 51)(49, 55, 61, 58)(52, 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) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E11.348
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 32 f = 2
	degree seq :: [ 4^8, 16^2 ]

E11.348 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ F^2, T1^4, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^8 * T1^2 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 9, 41, 17, 49, 25, 57, 30, 62, 22, 54, 14, 46, 6, 38, 13, 45, 21, 53, 29, 61, 28, 60, 20, 52, 12, 44, 5, 37)(2, 34, 7, 39, 15, 47, 23, 55, 31, 63, 27, 59, 19, 51, 11, 43, 4, 36, 10, 42, 18, 50, 26, 58, 32, 64, 24, 56, 16, 48, 8, 40)
	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, 61)(24, 62)(25, 63)(26, 49)(27, 52)(28, 64)(29, 58)(30, 59)(31, 60)(32, 57)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.347
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 32 f = 10
	degree seq :: [ 32^2 ]

E11.349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1, Y2^-1), Y2^2 * Y3 * Y2^6 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 7, 39, 13, 45, 10, 42)(5, 37, 8, 40, 14, 46, 11, 43)(9, 41, 15, 47, 21, 53, 18, 50)(12, 44, 16, 48, 22, 54, 19, 51)(17, 49, 23, 55, 29, 61, 26, 58)(20, 52, 24, 56, 30, 62, 27, 59)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 94, 126, 86, 118, 78, 110, 70, 102, 77, 109, 85, 117, 93, 125, 92, 124, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 95, 127, 91, 123, 83, 115, 75, 107, 68, 100, 74, 106, 82, 114, 90, 122, 96, 128, 88, 120, 80, 112, 72, 104)
	L = (1, 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, 96)(26, 93)(27, 94)(28, 95)(29, 87)(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, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.350
Graph:: bipartite
	v = 10 e = 64 f = 34
	degree seq :: [ 8^8, 32^2 ]

E11.350 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3^-2 * Y1^-8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 13, 45, 21, 53, 29, 61, 25, 57, 17, 49, 9, 41, 16, 48, 24, 56, 32, 64, 27, 59, 19, 51, 11, 43, 4, 36)(3, 35, 7, 39, 14, 46, 22, 54, 30, 62, 28, 60, 20, 52, 12, 44, 5, 37, 8, 40, 15, 47, 23, 55, 31, 63, 26, 58, 18, 50, 10, 42)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 73)(4, 74)(5, 65)(6, 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, 94)(22, 96)(23, 77)(24, 79)(25, 84)(26, 93)(27, 95)(28, 83)(29, 92)(30, 91)(31, 85)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.349
Graph:: simple bipartite
	v = 34 e = 64 f = 10
	degree seq :: [ 2^32, 32^2 ]

E11.351 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, (T2^3 * T1 * T2)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 26, 30, 22, 14, 6, 13, 21, 29, 28, 20, 12, 5)(2, 7, 15, 23, 31, 27, 19, 11, 4, 9, 17, 25, 32, 24, 16, 8)(33, 34, 38, 36)(35, 41, 45, 39)(37, 43, 46, 40)(42, 47, 53, 49)(44, 48, 54, 51)(50, 57, 61, 55)(52, 59, 62, 56)(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) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E11.352
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 32 f = 2
	degree seq :: [ 4^8, 16^2 ]

E11.352 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, (T2^3 * T1 * T2)^2 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 18, 50, 26, 58, 30, 62, 22, 54, 14, 46, 6, 38, 13, 45, 21, 53, 29, 61, 28, 60, 20, 52, 12, 44, 5, 37)(2, 34, 7, 39, 15, 47, 23, 55, 31, 63, 27, 59, 19, 51, 11, 43, 4, 36, 9, 41, 17, 49, 25, 57, 32, 64, 24, 56, 16, 48, 8, 40)
	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, 61)(26, 63)(27, 62)(28, 64)(29, 55)(30, 56)(31, 60)(32, 58)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.351
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 32 f = 10
	degree seq :: [ 32^2 ]

E11.353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (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, Y3 * Y2^8 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
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, 29, 61, 23, 55)(20, 52, 27, 59, 30, 62, 24, 56)(26, 58, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 94, 126, 86, 118, 78, 110, 70, 102, 77, 109, 85, 117, 93, 125, 92, 124, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 95, 127, 91, 123, 83, 115, 75, 107, 68, 100, 73, 105, 81, 113, 89, 121, 96, 128, 88, 120, 80, 112, 72, 104)
	L = (1, 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, 93)(24, 94)(25, 82)(26, 96)(27, 84)(28, 95)(29, 89)(30, 91)(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, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.354
Graph:: bipartite
	v = 10 e = 64 f = 34
	degree seq :: [ 8^8, 32^2 ]

E11.354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^-1 * Y3^2 * Y1^-7, (Y1^-1 * Y3^-1 * Y1^-3)^2 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 13, 45, 21, 53, 29, 61, 25, 57, 17, 49, 9, 41, 16, 48, 24, 56, 32, 64, 28, 60, 20, 52, 12, 44, 4, 36)(3, 35, 8, 40, 14, 46, 23, 55, 30, 62, 27, 59, 19, 51, 11, 43, 5, 37, 7, 39, 15, 47, 22, 54, 31, 63, 26, 58, 18, 50, 10, 42)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 73)(4, 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, 94)(22, 96)(23, 77)(24, 79)(25, 83)(26, 84)(27, 93)(28, 95)(29, 90)(30, 92)(31, 85)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.353
Graph:: simple bipartite
	v = 34 e = 64 f = 10
	degree seq :: [ 2^32, 32^2 ]

E11.355 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 33, 33})
Quotient :: edge
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-11 * T1^-1, (T1^-1 * T2^-1)^33 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 29, 23, 17, 11, 5)(34, 35, 37)(36, 39, 42)(38, 40, 43)(41, 45, 48)(44, 46, 49)(47, 51, 54)(50, 52, 55)(53, 57, 60)(56, 58, 61)(59, 63, 66)(62, 64, 65)
	L = (1, 34)(2, 35)(3, 36)(4, 37)(5, 38)(6, 39)(7, 40)(8, 41)(9, 42)(10, 43)(11, 44)(12, 45)(13, 46)(14, 47)(15, 48)(16, 49)(17, 50)(18, 51)(19, 52)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 58)(26, 59)(27, 60)(28, 61)(29, 62)(30, 63)(31, 64)(32, 65)(33, 66)
	local type(s) :: { ( 66^3 ), ( 66^33 ) }
Outer automorphisms :: reflexible
Dual of E11.356
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 33 f = 1
	degree seq :: [ 3^11, 33 ]

E11.356 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 33, 33})
Quotient :: loop
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-11 * T1^-1, (T1^-1 * T2^-1)^33 ]
Map:: non-degenerate
	R = (1, 34, 3, 36, 8, 41, 14, 47, 20, 53, 26, 59, 32, 65, 28, 61, 22, 55, 16, 49, 10, 43, 4, 37, 9, 42, 15, 48, 21, 54, 27, 60, 33, 66, 31, 64, 25, 58, 19, 52, 13, 46, 7, 40, 2, 35, 6, 39, 12, 45, 18, 51, 24, 57, 30, 63, 29, 62, 23, 56, 17, 50, 11, 44, 5, 38)
	L = (1, 35)(2, 37)(3, 39)(4, 34)(5, 40)(6, 42)(7, 43)(8, 45)(9, 36)(10, 38)(11, 46)(12, 48)(13, 49)(14, 51)(15, 41)(16, 44)(17, 52)(18, 54)(19, 55)(20, 57)(21, 47)(22, 50)(23, 58)(24, 60)(25, 61)(26, 63)(27, 53)(28, 56)(29, 64)(30, 66)(31, 65)(32, 62)(33, 59)
	local type(s) :: { ( 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33 ) }
Outer automorphisms :: reflexible
Dual of E11.355
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 33 f = 12
	degree seq :: [ 66 ]

E11.357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^3, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3 * Y2^-11, Y2^-3 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 34, 2, 35, 4, 37)(3, 36, 6, 39, 9, 42)(5, 38, 7, 40, 10, 43)(8, 41, 12, 45, 15, 48)(11, 44, 13, 46, 16, 49)(14, 47, 18, 51, 21, 54)(17, 50, 19, 52, 22, 55)(20, 53, 24, 57, 27, 60)(23, 56, 25, 58, 28, 61)(26, 59, 30, 63, 33, 66)(29, 62, 31, 64, 32, 65)(67, 100, 69, 102, 74, 107, 80, 113, 86, 119, 92, 125, 98, 131, 94, 127, 88, 121, 82, 115, 76, 109, 70, 103, 75, 108, 81, 114, 87, 120, 93, 126, 99, 132, 97, 130, 91, 124, 85, 118, 79, 112, 73, 106, 68, 101, 72, 105, 78, 111, 84, 117, 90, 123, 96, 129, 95, 128, 89, 122, 83, 116, 77, 110, 71, 104)
	L = (1, 70)(2, 67)(3, 75)(4, 68)(5, 76)(6, 69)(7, 71)(8, 81)(9, 72)(10, 73)(11, 82)(12, 74)(13, 77)(14, 87)(15, 78)(16, 79)(17, 88)(18, 80)(19, 83)(20, 93)(21, 84)(22, 85)(23, 94)(24, 86)(25, 89)(26, 99)(27, 90)(28, 91)(29, 98)(30, 92)(31, 95)(32, 97)(33, 96)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 2, 66, 2, 66, 2, 66 ), ( 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66 ) }
Outer automorphisms :: reflexible
Dual of E11.358
Graph:: bipartite
	v = 12 e = 66 f = 34
	degree seq :: [ 6^11, 66 ]

E11.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^-11, (Y1^-1 * Y3^-1)^33 ]
Map::
	R = (1, 34, 2, 35, 6, 39, 12, 45, 18, 51, 24, 57, 30, 63, 29, 62, 23, 56, 17, 50, 11, 44, 5, 38, 8, 41, 14, 47, 20, 53, 26, 59, 32, 65, 33, 66, 27, 60, 21, 54, 15, 48, 9, 42, 3, 36, 7, 40, 13, 46, 19, 52, 25, 58, 31, 64, 28, 61, 22, 55, 16, 49, 10, 43, 4, 37)(67, 100)(68, 101)(69, 102)(70, 103)(71, 104)(72, 105)(73, 106)(74, 107)(75, 108)(76, 109)(77, 110)(78, 111)(79, 112)(80, 113)(81, 114)(82, 115)(83, 116)(84, 117)(85, 118)(86, 119)(87, 120)(88, 121)(89, 122)(90, 123)(91, 124)(92, 125)(93, 126)(94, 127)(95, 128)(96, 129)(97, 130)(98, 131)(99, 132)
	L = (1, 69)(2, 73)(3, 71)(4, 75)(5, 67)(6, 79)(7, 74)(8, 68)(9, 77)(10, 81)(11, 70)(12, 85)(13, 80)(14, 72)(15, 83)(16, 87)(17, 76)(18, 91)(19, 86)(20, 78)(21, 89)(22, 93)(23, 82)(24, 97)(25, 92)(26, 84)(27, 95)(28, 99)(29, 88)(30, 94)(31, 98)(32, 90)(33, 96)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E11.357
Graph:: bipartite
	v = 34 e = 66 f = 12
	degree seq :: [ 2^33, 66 ]

E11.359 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 45, 5, 41)(3, 49, 9, 44, 4, 50, 10, 43)(7, 51, 11, 48, 8, 52, 12, 47)(13, 57, 17, 54, 14, 58, 18, 53)(15, 59, 19, 56, 16, 60, 20, 55)(21, 65, 25, 62, 22, 66, 26, 61)(23, 67, 27, 64, 24, 68, 28, 63)(29, 73, 33, 70, 30, 74, 34, 69)(31, 75, 35, 72, 32, 76, 36, 71)(37, 79, 39, 78, 38, 80, 40, 77)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41, 44)(42, 48)(43, 46)(45, 47)(49, 54)(50, 53)(51, 56)(52, 55)(57, 62)(58, 61)(59, 64)(60, 63)(65, 70)(66, 69)(67, 72)(68, 71)(73, 78)(74, 77)(75, 80)(76, 79)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.360 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3, Y1^4, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 42, 2, 45, 5, 44, 4, 41)(3, 47, 7, 50, 10, 48, 8, 43)(6, 51, 11, 49, 9, 52, 12, 46)(13, 57, 17, 54, 14, 58, 18, 53)(15, 59, 19, 56, 16, 60, 20, 55)(21, 65, 25, 62, 22, 66, 26, 61)(23, 67, 27, 64, 24, 68, 28, 63)(29, 73, 33, 70, 30, 74, 34, 69)(31, 75, 35, 72, 32, 76, 36, 71)(37, 79, 39, 78, 38, 80, 40, 77)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41, 43)(42, 46)(44, 49)(45, 50)(47, 53)(48, 54)(51, 55)(52, 56)(57, 61)(58, 62)(59, 63)(60, 64)(65, 69)(66, 70)(67, 71)(68, 72)(73, 77)(74, 78)(75, 79)(76, 80)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.361 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
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 :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^4, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 42, 2, 45, 5, 44, 4, 41)(3, 47, 7, 50, 10, 48, 8, 43)(6, 51, 11, 49, 9, 52, 12, 46)(13, 57, 17, 54, 14, 58, 18, 53)(15, 59, 19, 56, 16, 60, 20, 55)(21, 65, 25, 62, 22, 66, 26, 61)(23, 67, 27, 64, 24, 68, 28, 63)(29, 73, 33, 70, 30, 74, 34, 69)(31, 75, 35, 72, 32, 76, 36, 71)(37, 80, 40, 78, 38, 79, 39, 77)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41, 43)(42, 46)(44, 49)(45, 50)(47, 53)(48, 54)(51, 55)(52, 56)(57, 61)(58, 62)(59, 63)(60, 64)(65, 69)(66, 70)(67, 71)(68, 72)(73, 77)(74, 78)(75, 79)(76, 80)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.362 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 4, 44, 6, 46, 5, 45)(2, 42, 7, 47, 3, 43, 8, 48)(9, 49, 13, 53, 10, 50, 14, 54)(11, 51, 15, 55, 12, 52, 16, 56)(17, 57, 21, 61, 18, 58, 22, 62)(19, 59, 23, 63, 20, 60, 24, 64)(25, 65, 29, 69, 26, 66, 30, 70)(27, 67, 31, 71, 28, 68, 32, 72)(33, 73, 37, 77, 34, 74, 38, 78)(35, 75, 39, 79, 36, 76, 40, 80)(81, 82)(83, 86)(84, 89)(85, 90)(87, 91)(88, 92)(93, 97)(94, 98)(95, 99)(96, 100)(101, 105)(102, 106)(103, 107)(104, 108)(109, 113)(110, 114)(111, 115)(112, 116)(117, 119)(118, 120)(121, 123)(122, 126)(124, 130)(125, 129)(127, 132)(128, 131)(133, 138)(134, 137)(135, 140)(136, 139)(141, 146)(142, 145)(143, 148)(144, 147)(149, 154)(150, 153)(151, 156)(152, 155)(157, 160)(158, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.368
Graph:: simple bipartite
	v = 50 e = 80 f = 10
	degree seq :: [ 2^40, 8^10 ]

E11.363 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 3, 43, 8, 48, 4, 44)(2, 42, 5, 45, 11, 51, 6, 46)(7, 47, 13, 53, 9, 49, 14, 54)(10, 50, 15, 55, 12, 52, 16, 56)(17, 57, 21, 61, 18, 58, 22, 62)(19, 59, 23, 63, 20, 60, 24, 64)(25, 65, 29, 69, 26, 66, 30, 70)(27, 67, 31, 71, 28, 68, 32, 72)(33, 73, 37, 77, 34, 74, 38, 78)(35, 75, 39, 79, 36, 76, 40, 80)(81, 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, 116)(117, 119)(118, 120)(121, 122)(123, 127)(124, 129)(125, 130)(126, 132)(128, 131)(133, 137)(134, 138)(135, 139)(136, 140)(141, 145)(142, 146)(143, 147)(144, 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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.369
Graph:: simple bipartite
	v = 50 e = 80 f = 10
	degree seq :: [ 2^40, 8^10 ]

E11.364 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
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, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 3, 43, 8, 48, 4, 44)(2, 42, 5, 45, 11, 51, 6, 46)(7, 47, 13, 53, 9, 49, 14, 54)(10, 50, 15, 55, 12, 52, 16, 56)(17, 57, 21, 61, 18, 58, 22, 62)(19, 59, 23, 63, 20, 60, 24, 64)(25, 65, 29, 69, 26, 66, 30, 70)(27, 67, 31, 71, 28, 68, 32, 72)(33, 73, 37, 77, 34, 74, 38, 78)(35, 75, 39, 79, 36, 76, 40, 80)(81, 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, 116)(117, 120)(118, 119)(121, 122)(123, 127)(124, 129)(125, 130)(126, 132)(128, 131)(133, 137)(134, 138)(135, 139)(136, 140)(141, 145)(142, 146)(143, 147)(144, 148)(149, 153)(150, 154)(151, 155)(152, 156)(157, 160)(158, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.370
Graph:: simple bipartite
	v = 50 e = 80 f = 10
	degree seq :: [ 2^40, 8^10 ]

E11.365 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = C2 x C4 x D10 (small group id <80, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 6, 46)(3, 43, 7, 47)(5, 45, 10, 50)(8, 48, 13, 53)(9, 49, 14, 54)(11, 51, 15, 55)(12, 52, 16, 56)(17, 57, 21, 61)(18, 58, 22, 62)(19, 59, 23, 63)(20, 60, 24, 64)(25, 65, 29, 69)(26, 66, 30, 70)(27, 67, 31, 71)(28, 68, 32, 72)(33, 73, 37, 77)(34, 74, 38, 78)(35, 75, 39, 79)(36, 76, 40, 80)(81, 82, 85, 83)(84, 88, 90, 89)(86, 91, 87, 92)(93, 97, 94, 98)(95, 99, 96, 100)(101, 105, 102, 106)(103, 107, 104, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 119, 118, 120)(121, 123, 125, 122)(124, 129, 130, 128)(126, 132, 127, 131)(133, 138, 134, 137)(135, 140, 136, 139)(141, 146, 142, 145)(143, 148, 144, 147)(149, 154, 150, 153)(151, 156, 152, 155)(157, 160, 158, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.371
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.366 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 3, 43)(2, 42, 6, 46)(4, 44, 9, 49)(5, 45, 10, 50)(7, 47, 13, 53)(8, 48, 14, 54)(11, 51, 15, 55)(12, 52, 16, 56)(17, 57, 21, 61)(18, 58, 22, 62)(19, 59, 23, 63)(20, 60, 24, 64)(25, 65, 29, 69)(26, 66, 30, 70)(27, 67, 31, 71)(28, 68, 32, 72)(33, 73, 37, 77)(34, 74, 38, 78)(35, 75, 39, 79)(36, 76, 40, 80)(81, 82, 85, 84)(83, 87, 90, 88)(86, 91, 89, 92)(93, 97, 94, 98)(95, 99, 96, 100)(101, 105, 102, 106)(103, 107, 104, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 119, 118, 120)(121, 122, 125, 124)(123, 127, 130, 128)(126, 131, 129, 132)(133, 137, 134, 138)(135, 139, 136, 140)(141, 145, 142, 146)(143, 147, 144, 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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.372
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.367 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, Y2^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 3, 43)(2, 42, 6, 46)(4, 44, 9, 49)(5, 45, 10, 50)(7, 47, 13, 53)(8, 48, 14, 54)(11, 51, 15, 55)(12, 52, 16, 56)(17, 57, 21, 61)(18, 58, 22, 62)(19, 59, 23, 63)(20, 60, 24, 64)(25, 65, 29, 69)(26, 66, 30, 70)(27, 67, 31, 71)(28, 68, 32, 72)(33, 73, 37, 77)(34, 74, 38, 78)(35, 75, 39, 79)(36, 76, 40, 80)(81, 82, 85, 84)(83, 87, 90, 88)(86, 91, 89, 92)(93, 97, 94, 98)(95, 99, 96, 100)(101, 105, 102, 106)(103, 107, 104, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 120, 118, 119)(121, 122, 125, 124)(123, 127, 130, 128)(126, 131, 129, 132)(133, 137, 134, 138)(135, 139, 136, 140)(141, 145, 142, 146)(143, 147, 144, 148)(149, 153, 150, 154)(151, 155, 152, 156)(157, 160, 158, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.373
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.368 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 6, 46, 86, 126, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 3, 43, 83, 123, 8, 48, 88, 128)(9, 49, 89, 129, 13, 53, 93, 133, 10, 50, 90, 130, 14, 54, 94, 134)(11, 51, 91, 131, 15, 55, 95, 135, 12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141, 18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143, 20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149, 26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151, 28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157, 34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159, 36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 41)(3, 46)(4, 49)(5, 50)(6, 43)(7, 51)(8, 52)(9, 44)(10, 45)(11, 47)(12, 48)(13, 57)(14, 58)(15, 59)(16, 60)(17, 53)(18, 54)(19, 55)(20, 56)(21, 65)(22, 66)(23, 67)(24, 68)(25, 61)(26, 62)(27, 63)(28, 64)(29, 73)(30, 74)(31, 75)(32, 76)(33, 69)(34, 70)(35, 71)(36, 72)(37, 79)(38, 80)(39, 77)(40, 78)(81, 123)(82, 126)(83, 121)(84, 130)(85, 129)(86, 122)(87, 132)(88, 131)(89, 125)(90, 124)(91, 128)(92, 127)(93, 138)(94, 137)(95, 140)(96, 139)(97, 134)(98, 133)(99, 136)(100, 135)(101, 146)(102, 145)(103, 148)(104, 147)(105, 142)(106, 141)(107, 144)(108, 143)(109, 154)(110, 153)(111, 156)(112, 155)(113, 150)(114, 149)(115, 152)(116, 151)(117, 160)(118, 159)(119, 158)(120, 157)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.362
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 80 f = 50
	degree seq :: [ 16^10 ]

E11.369 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 81, 121, 3, 43, 83, 123, 8, 48, 88, 128, 4, 44, 84, 124)(2, 42, 82, 122, 5, 45, 85, 125, 11, 51, 91, 131, 6, 46, 86, 126)(7, 47, 87, 127, 13, 53, 93, 133, 9, 49, 89, 129, 14, 54, 94, 134)(10, 50, 90, 130, 15, 55, 95, 135, 12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141, 18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143, 20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149, 26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151, 28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157, 34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159, 36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 41)(3, 47)(4, 49)(5, 50)(6, 52)(7, 43)(8, 51)(9, 44)(10, 45)(11, 48)(12, 46)(13, 57)(14, 58)(15, 59)(16, 60)(17, 53)(18, 54)(19, 55)(20, 56)(21, 65)(22, 66)(23, 67)(24, 68)(25, 61)(26, 62)(27, 63)(28, 64)(29, 73)(30, 74)(31, 75)(32, 76)(33, 69)(34, 70)(35, 71)(36, 72)(37, 79)(38, 80)(39, 77)(40, 78)(81, 122)(82, 121)(83, 127)(84, 129)(85, 130)(86, 132)(87, 123)(88, 131)(89, 124)(90, 125)(91, 128)(92, 126)(93, 137)(94, 138)(95, 139)(96, 140)(97, 133)(98, 134)(99, 135)(100, 136)(101, 145)(102, 146)(103, 147)(104, 148)(105, 141)(106, 142)(107, 143)(108, 144)(109, 153)(110, 154)(111, 155)(112, 156)(113, 149)(114, 150)(115, 151)(116, 152)(117, 159)(118, 160)(119, 157)(120, 158)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.363
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 80 f = 50
	degree seq :: [ 16^10 ]

E11.370 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
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, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 81, 121, 3, 43, 83, 123, 8, 48, 88, 128, 4, 44, 84, 124)(2, 42, 82, 122, 5, 45, 85, 125, 11, 51, 91, 131, 6, 46, 86, 126)(7, 47, 87, 127, 13, 53, 93, 133, 9, 49, 89, 129, 14, 54, 94, 134)(10, 50, 90, 130, 15, 55, 95, 135, 12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141, 18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143, 20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149, 26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151, 28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157, 34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159, 36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 41)(3, 47)(4, 49)(5, 50)(6, 52)(7, 43)(8, 51)(9, 44)(10, 45)(11, 48)(12, 46)(13, 57)(14, 58)(15, 59)(16, 60)(17, 53)(18, 54)(19, 55)(20, 56)(21, 65)(22, 66)(23, 67)(24, 68)(25, 61)(26, 62)(27, 63)(28, 64)(29, 73)(30, 74)(31, 75)(32, 76)(33, 69)(34, 70)(35, 71)(36, 72)(37, 80)(38, 79)(39, 78)(40, 77)(81, 122)(82, 121)(83, 127)(84, 129)(85, 130)(86, 132)(87, 123)(88, 131)(89, 124)(90, 125)(91, 128)(92, 126)(93, 137)(94, 138)(95, 139)(96, 140)(97, 133)(98, 134)(99, 135)(100, 136)(101, 145)(102, 146)(103, 147)(104, 148)(105, 141)(106, 142)(107, 143)(108, 144)(109, 153)(110, 154)(111, 155)(112, 156)(113, 149)(114, 150)(115, 151)(116, 152)(117, 160)(118, 159)(119, 158)(120, 157)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.364
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 80 f = 50
	degree seq :: [ 16^10 ]

E11.371 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = C2 x C4 x D10 (small group id <80, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 6, 46, 86, 126)(3, 43, 83, 123, 7, 47, 87, 127)(5, 45, 85, 125, 10, 50, 90, 130)(8, 48, 88, 128, 13, 53, 93, 133)(9, 49, 89, 129, 14, 54, 94, 134)(11, 51, 91, 131, 15, 55, 95, 135)(12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141)(18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143)(20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149)(26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151)(28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157)(34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159)(36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 45)(3, 41)(4, 48)(5, 43)(6, 51)(7, 52)(8, 50)(9, 44)(10, 49)(11, 47)(12, 46)(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)(81, 123)(82, 121)(83, 125)(84, 129)(85, 122)(86, 132)(87, 131)(88, 124)(89, 130)(90, 128)(91, 126)(92, 127)(93, 138)(94, 137)(95, 140)(96, 139)(97, 133)(98, 134)(99, 135)(100, 136)(101, 146)(102, 145)(103, 148)(104, 147)(105, 141)(106, 142)(107, 143)(108, 144)(109, 154)(110, 153)(111, 156)(112, 155)(113, 149)(114, 150)(115, 151)(116, 152)(117, 160)(118, 159)(119, 157)(120, 158)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.365
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.372 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 3, 43, 83, 123)(2, 42, 82, 122, 6, 46, 86, 126)(4, 44, 84, 124, 9, 49, 89, 129)(5, 45, 85, 125, 10, 50, 90, 130)(7, 47, 87, 127, 13, 53, 93, 133)(8, 48, 88, 128, 14, 54, 94, 134)(11, 51, 91, 131, 15, 55, 95, 135)(12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141)(18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143)(20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149)(26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151)(28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157)(34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159)(36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 45)(3, 47)(4, 41)(5, 44)(6, 51)(7, 50)(8, 43)(9, 52)(10, 48)(11, 49)(12, 46)(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)(81, 122)(82, 125)(83, 127)(84, 121)(85, 124)(86, 131)(87, 130)(88, 123)(89, 132)(90, 128)(91, 129)(92, 126)(93, 137)(94, 138)(95, 139)(96, 140)(97, 134)(98, 133)(99, 136)(100, 135)(101, 145)(102, 146)(103, 147)(104, 148)(105, 142)(106, 141)(107, 144)(108, 143)(109, 153)(110, 154)(111, 155)(112, 156)(113, 150)(114, 149)(115, 152)(116, 151)(117, 159)(118, 160)(119, 158)(120, 157)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.366
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.373 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, Y2^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 3, 43, 83, 123)(2, 42, 82, 122, 6, 46, 86, 126)(4, 44, 84, 124, 9, 49, 89, 129)(5, 45, 85, 125, 10, 50, 90, 130)(7, 47, 87, 127, 13, 53, 93, 133)(8, 48, 88, 128, 14, 54, 94, 134)(11, 51, 91, 131, 15, 55, 95, 135)(12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141)(18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143)(20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149)(26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151)(28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157)(34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159)(36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 45)(3, 47)(4, 41)(5, 44)(6, 51)(7, 50)(8, 43)(9, 52)(10, 48)(11, 49)(12, 46)(13, 57)(14, 58)(15, 59)(16, 60)(17, 54)(18, 53)(19, 56)(20, 55)(21, 65)(22, 66)(23, 67)(24, 68)(25, 62)(26, 61)(27, 64)(28, 63)(29, 73)(30, 74)(31, 75)(32, 76)(33, 70)(34, 69)(35, 72)(36, 71)(37, 80)(38, 79)(39, 77)(40, 78)(81, 122)(82, 125)(83, 127)(84, 121)(85, 124)(86, 131)(87, 130)(88, 123)(89, 132)(90, 128)(91, 129)(92, 126)(93, 137)(94, 138)(95, 139)(96, 140)(97, 134)(98, 133)(99, 136)(100, 135)(101, 145)(102, 146)(103, 147)(104, 148)(105, 142)(106, 141)(107, 144)(108, 143)(109, 153)(110, 154)(111, 155)(112, 156)(113, 150)(114, 149)(115, 152)(116, 151)(117, 160)(118, 159)(119, 157)(120, 158)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.367
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 10, 50)(6, 46, 12, 52)(8, 48, 11, 51)(13, 53, 17, 57)(14, 54, 18, 58)(15, 55, 19, 59)(16, 56, 20, 60)(21, 61, 25, 65)(22, 62, 26, 66)(23, 63, 27, 67)(24, 64, 28, 68)(29, 69, 33, 73)(30, 70, 34, 74)(31, 71, 35, 75)(32, 72, 36, 76)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 88, 128, 84, 124)(82, 122, 85, 125, 91, 131, 86, 126)(87, 127, 93, 133, 89, 129, 94, 134)(90, 130, 95, 135, 92, 132, 96, 136)(97, 137, 101, 141, 98, 138, 102, 142)(99, 139, 103, 143, 100, 140, 104, 144)(105, 145, 109, 149, 106, 146, 110, 150)(107, 147, 111, 151, 108, 148, 112, 152)(113, 153, 117, 157, 114, 154, 118, 158)(115, 155, 119, 159, 116, 156, 120, 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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 80 f = 30
	degree seq :: [ 4^20, 8^10 ]

E11.375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 10, 50)(6, 46, 12, 52)(8, 48, 11, 51)(13, 53, 17, 57)(14, 54, 18, 58)(15, 55, 19, 59)(16, 56, 20, 60)(21, 61, 25, 65)(22, 62, 26, 66)(23, 63, 27, 67)(24, 64, 28, 68)(29, 69, 33, 73)(30, 70, 34, 74)(31, 71, 35, 75)(32, 72, 36, 76)(37, 77, 40, 80)(38, 78, 39, 79)(81, 121, 83, 123, 88, 128, 84, 124)(82, 122, 85, 125, 91, 131, 86, 126)(87, 127, 93, 133, 89, 129, 94, 134)(90, 130, 95, 135, 92, 132, 96, 136)(97, 137, 101, 141, 98, 138, 102, 142)(99, 139, 103, 143, 100, 140, 104, 144)(105, 145, 109, 149, 106, 146, 110, 150)(107, 147, 111, 151, 108, 148, 112, 152)(113, 153, 117, 157, 114, 154, 118, 158)(115, 155, 119, 159, 116, 156, 120, 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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 80 f = 30
	degree seq :: [ 4^20, 8^10 ]

E11.376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (R * Y1)^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 7, 47)(5, 45, 10, 50)(6, 46, 11, 51)(8, 48, 12, 52)(13, 53, 17, 57)(14, 54, 18, 58)(15, 55, 19, 59)(16, 56, 20, 60)(21, 61, 25, 65)(22, 62, 26, 66)(23, 63, 27, 67)(24, 64, 28, 68)(29, 69, 33, 73)(30, 70, 34, 74)(31, 71, 35, 75)(32, 72, 36, 76)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 84, 124, 85, 125)(82, 122, 86, 126, 87, 127, 88, 128)(89, 129, 93, 133, 90, 130, 94, 134)(91, 131, 95, 135, 92, 132, 96, 136)(97, 137, 101, 141, 98, 138, 102, 142)(99, 139, 103, 143, 100, 140, 104, 144)(105, 145, 109, 149, 106, 146, 110, 150)(107, 147, 111, 151, 108, 148, 112, 152)(113, 153, 117, 157, 114, 154, 118, 158)(115, 155, 119, 159, 116, 156, 120, 160)
	L = (1, 84)(2, 87)(3, 85)(4, 81)(5, 83)(6, 88)(7, 82)(8, 86)(9, 90)(10, 89)(11, 92)(12, 91)(13, 94)(14, 93)(15, 96)(16, 95)(17, 98)(18, 97)(19, 100)(20, 99)(21, 102)(22, 101)(23, 104)(24, 103)(25, 106)(26, 105)(27, 108)(28, 107)(29, 110)(30, 109)(31, 112)(32, 111)(33, 114)(34, 113)(35, 116)(36, 115)(37, 118)(38, 117)(39, 120)(40, 119)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 80 f = 30
	degree seq :: [ 4^20, 8^10 ]

E11.377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, R^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 7, 47)(5, 45, 10, 50)(6, 46, 11, 51)(8, 48, 12, 52)(13, 53, 17, 57)(14, 54, 18, 58)(15, 55, 19, 59)(16, 56, 20, 60)(21, 61, 25, 65)(22, 62, 26, 66)(23, 63, 27, 67)(24, 64, 28, 68)(29, 69, 33, 73)(30, 70, 34, 74)(31, 71, 35, 75)(32, 72, 36, 76)(37, 77, 40, 80)(38, 78, 39, 79)(81, 121, 83, 123, 84, 124, 85, 125)(82, 122, 86, 126, 87, 127, 88, 128)(89, 129, 93, 133, 90, 130, 94, 134)(91, 131, 95, 135, 92, 132, 96, 136)(97, 137, 101, 141, 98, 138, 102, 142)(99, 139, 103, 143, 100, 140, 104, 144)(105, 145, 109, 149, 106, 146, 110, 150)(107, 147, 111, 151, 108, 148, 112, 152)(113, 153, 117, 157, 114, 154, 118, 158)(115, 155, 119, 159, 116, 156, 120, 160)
	L = (1, 84)(2, 87)(3, 85)(4, 81)(5, 83)(6, 88)(7, 82)(8, 86)(9, 90)(10, 89)(11, 92)(12, 91)(13, 94)(14, 93)(15, 96)(16, 95)(17, 98)(18, 97)(19, 100)(20, 99)(21, 102)(22, 101)(23, 104)(24, 103)(25, 106)(26, 105)(27, 108)(28, 107)(29, 110)(30, 109)(31, 112)(32, 111)(33, 114)(34, 113)(35, 116)(36, 115)(37, 118)(38, 117)(39, 120)(40, 119)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 80 f = 30
	degree seq :: [ 4^20, 8^10 ]

E11.378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y3^5, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2, Y3^2 * Y1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 20, 60)(9, 49, 26, 66)(12, 52, 21, 61)(13, 53, 30, 70)(14, 54, 23, 63)(15, 55, 28, 68)(16, 56, 25, 65)(18, 58, 34, 74)(19, 59, 24, 64)(22, 62, 33, 73)(27, 67, 35, 75)(29, 69, 39, 79)(31, 71, 38, 78)(32, 72, 37, 77)(36, 76, 40, 80)(81, 121, 83, 123, 92, 132, 85, 125)(82, 122, 87, 127, 101, 141, 89, 129)(84, 124, 94, 134, 111, 151, 96, 136)(86, 126, 93, 133, 112, 152, 98, 138)(88, 128, 103, 143, 117, 157, 105, 145)(90, 130, 102, 142, 118, 158, 107, 147)(91, 131, 109, 149, 97, 137, 104, 144)(95, 135, 100, 140, 116, 156, 106, 146)(99, 139, 113, 153, 119, 159, 115, 155)(108, 148, 110, 150, 120, 160, 114, 154)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 98)(6, 81)(7, 102)(8, 104)(9, 107)(10, 82)(11, 103)(12, 111)(13, 113)(14, 83)(15, 99)(16, 85)(17, 105)(18, 115)(19, 86)(20, 94)(21, 117)(22, 110)(23, 87)(24, 108)(25, 89)(26, 96)(27, 114)(28, 90)(29, 120)(30, 91)(31, 116)(32, 92)(33, 100)(34, 97)(35, 106)(36, 119)(37, 109)(38, 101)(39, 112)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 80 f = 30
	degree seq :: [ 4^20, 8^10 ]

E11.379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y1 * Y3^2 * Y2 * Y1, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2, Y3 * Y1 * Y2 * Y3^2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 20, 60)(9, 49, 26, 66)(12, 52, 21, 61)(13, 53, 30, 70)(14, 54, 23, 63)(15, 55, 28, 68)(16, 56, 25, 65)(18, 58, 35, 75)(19, 59, 24, 64)(22, 62, 36, 76)(27, 67, 33, 73)(29, 69, 34, 74)(31, 71, 39, 79)(32, 72, 38, 78)(37, 77, 40, 80)(81, 121, 83, 123, 92, 132, 85, 125)(82, 122, 87, 127, 101, 141, 89, 129)(84, 124, 94, 134, 111, 151, 96, 136)(86, 126, 93, 133, 112, 152, 98, 138)(88, 128, 103, 143, 118, 158, 105, 145)(90, 130, 102, 142, 119, 159, 107, 147)(91, 131, 109, 149, 97, 137, 104, 144)(95, 135, 100, 140, 117, 157, 106, 146)(99, 139, 113, 153, 114, 154, 116, 156)(108, 148, 115, 155, 120, 160, 110, 150)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 98)(6, 81)(7, 102)(8, 104)(9, 107)(10, 82)(11, 103)(12, 111)(13, 113)(14, 83)(15, 114)(16, 85)(17, 105)(18, 116)(19, 86)(20, 94)(21, 118)(22, 115)(23, 87)(24, 120)(25, 89)(26, 96)(27, 110)(28, 90)(29, 108)(30, 91)(31, 117)(32, 92)(33, 106)(34, 112)(35, 97)(36, 100)(37, 99)(38, 109)(39, 101)(40, 119)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 80 f = 30
	degree seq :: [ 4^20, 8^10 ]

E11.380 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 45, 5, 41)(3, 49, 9, 44, 4, 50, 10, 43)(7, 51, 11, 48, 8, 52, 12, 47)(13, 57, 17, 54, 14, 58, 18, 53)(15, 59, 19, 56, 16, 60, 20, 55)(21, 65, 25, 62, 22, 66, 26, 61)(23, 67, 27, 64, 24, 68, 28, 63)(29, 73, 33, 70, 30, 74, 34, 69)(31, 75, 35, 72, 32, 76, 36, 71)(37, 80, 40, 78, 38, 79, 39, 77)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41, 44)(42, 48)(43, 46)(45, 47)(49, 54)(50, 53)(51, 56)(52, 55)(57, 62)(58, 61)(59, 64)(60, 63)(65, 70)(66, 69)(67, 72)(68, 71)(73, 78)(74, 77)(75, 80)(76, 79)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.381 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 4, 44, 6, 46, 5, 45)(2, 42, 7, 47, 3, 43, 8, 48)(9, 49, 13, 53, 10, 50, 14, 54)(11, 51, 15, 55, 12, 52, 16, 56)(17, 57, 21, 61, 18, 58, 22, 62)(19, 59, 23, 63, 20, 60, 24, 64)(25, 65, 29, 69, 26, 66, 30, 70)(27, 67, 31, 71, 28, 68, 32, 72)(33, 73, 37, 77, 34, 74, 38, 78)(35, 75, 39, 79, 36, 76, 40, 80)(81, 82)(83, 86)(84, 89)(85, 90)(87, 91)(88, 92)(93, 97)(94, 98)(95, 99)(96, 100)(101, 105)(102, 106)(103, 107)(104, 108)(109, 113)(110, 114)(111, 115)(112, 116)(117, 120)(118, 119)(121, 123)(122, 126)(124, 130)(125, 129)(127, 132)(128, 131)(133, 138)(134, 137)(135, 140)(136, 139)(141, 146)(142, 145)(143, 148)(144, 147)(149, 154)(150, 153)(151, 156)(152, 155)(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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.383
Graph:: simple bipartite
	v = 50 e = 80 f = 10
	degree seq :: [ 2^40, 8^10 ]

E11.382 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, R * Y2 * R * Y1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 6, 46)(3, 43, 7, 47)(5, 45, 10, 50)(8, 48, 13, 53)(9, 49, 14, 54)(11, 51, 15, 55)(12, 52, 16, 56)(17, 57, 21, 61)(18, 58, 22, 62)(19, 59, 23, 63)(20, 60, 24, 64)(25, 65, 29, 69)(26, 66, 30, 70)(27, 67, 31, 71)(28, 68, 32, 72)(33, 73, 37, 77)(34, 74, 38, 78)(35, 75, 39, 79)(36, 76, 40, 80)(81, 82, 85, 83)(84, 88, 90, 89)(86, 91, 87, 92)(93, 97, 94, 98)(95, 99, 96, 100)(101, 105, 102, 106)(103, 107, 104, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 120, 118, 119)(121, 123, 125, 122)(124, 129, 130, 128)(126, 132, 127, 131)(133, 138, 134, 137)(135, 140, 136, 139)(141, 146, 142, 145)(143, 148, 144, 147)(149, 154, 150, 153)(151, 156, 152, 155)(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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.384
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.383 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 6, 46, 86, 126, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 3, 43, 83, 123, 8, 48, 88, 128)(9, 49, 89, 129, 13, 53, 93, 133, 10, 50, 90, 130, 14, 54, 94, 134)(11, 51, 91, 131, 15, 55, 95, 135, 12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141, 18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143, 20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149, 26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151, 28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157, 34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159, 36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 41)(3, 46)(4, 49)(5, 50)(6, 43)(7, 51)(8, 52)(9, 44)(10, 45)(11, 47)(12, 48)(13, 57)(14, 58)(15, 59)(16, 60)(17, 53)(18, 54)(19, 55)(20, 56)(21, 65)(22, 66)(23, 67)(24, 68)(25, 61)(26, 62)(27, 63)(28, 64)(29, 73)(30, 74)(31, 75)(32, 76)(33, 69)(34, 70)(35, 71)(36, 72)(37, 80)(38, 79)(39, 78)(40, 77)(81, 123)(82, 126)(83, 121)(84, 130)(85, 129)(86, 122)(87, 132)(88, 131)(89, 125)(90, 124)(91, 128)(92, 127)(93, 138)(94, 137)(95, 140)(96, 139)(97, 134)(98, 133)(99, 136)(100, 135)(101, 146)(102, 145)(103, 148)(104, 147)(105, 142)(106, 141)(107, 144)(108, 143)(109, 154)(110, 153)(111, 156)(112, 155)(113, 150)(114, 149)(115, 152)(116, 151)(117, 159)(118, 160)(119, 157)(120, 158)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.381
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 80 f = 50
	degree seq :: [ 16^10 ]

E11.384 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, R * Y2 * R * Y1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 6, 46, 86, 126)(3, 43, 83, 123, 7, 47, 87, 127)(5, 45, 85, 125, 10, 50, 90, 130)(8, 48, 88, 128, 13, 53, 93, 133)(9, 49, 89, 129, 14, 54, 94, 134)(11, 51, 91, 131, 15, 55, 95, 135)(12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141)(18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143)(20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149)(26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151)(28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157)(34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159)(36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 45)(3, 41)(4, 48)(5, 43)(6, 51)(7, 52)(8, 50)(9, 44)(10, 49)(11, 47)(12, 46)(13, 57)(14, 58)(15, 59)(16, 60)(17, 54)(18, 53)(19, 56)(20, 55)(21, 65)(22, 66)(23, 67)(24, 68)(25, 62)(26, 61)(27, 64)(28, 63)(29, 73)(30, 74)(31, 75)(32, 76)(33, 70)(34, 69)(35, 72)(36, 71)(37, 80)(38, 79)(39, 77)(40, 78)(81, 123)(82, 121)(83, 125)(84, 129)(85, 122)(86, 132)(87, 131)(88, 124)(89, 130)(90, 128)(91, 126)(92, 127)(93, 138)(94, 137)(95, 140)(96, 139)(97, 133)(98, 134)(99, 135)(100, 136)(101, 146)(102, 145)(103, 148)(104, 147)(105, 141)(106, 142)(107, 143)(108, 144)(109, 154)(110, 153)(111, 156)(112, 155)(113, 149)(114, 150)(115, 151)(116, 152)(117, 159)(118, 160)(119, 158)(120, 157)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.382
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3^5, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2, Y3^2 * Y1 * Y2 * Y3 * Y1 * Y2, Y3^2 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 20, 60)(9, 49, 26, 66)(12, 52, 21, 61)(13, 53, 30, 70)(14, 54, 25, 65)(15, 55, 28, 68)(16, 56, 23, 63)(18, 58, 34, 74)(19, 59, 24, 64)(22, 62, 35, 75)(27, 67, 33, 73)(29, 69, 39, 79)(31, 71, 38, 78)(32, 72, 37, 77)(36, 76, 40, 80)(81, 121, 83, 123, 92, 132, 85, 125)(82, 122, 87, 127, 101, 141, 89, 129)(84, 124, 94, 134, 111, 151, 96, 136)(86, 126, 93, 133, 112, 152, 98, 138)(88, 128, 103, 143, 117, 157, 105, 145)(90, 130, 102, 142, 118, 158, 107, 147)(91, 131, 104, 144, 97, 137, 109, 149)(95, 135, 106, 146, 116, 156, 100, 140)(99, 139, 113, 153, 119, 159, 115, 155)(108, 148, 114, 154, 120, 160, 110, 150)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 98)(6, 81)(7, 102)(8, 104)(9, 107)(10, 82)(11, 105)(12, 111)(13, 113)(14, 83)(15, 99)(16, 85)(17, 103)(18, 115)(19, 86)(20, 96)(21, 117)(22, 114)(23, 87)(24, 108)(25, 89)(26, 94)(27, 110)(28, 90)(29, 120)(30, 91)(31, 116)(32, 92)(33, 106)(34, 97)(35, 100)(36, 119)(37, 109)(38, 101)(39, 112)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 80 f = 30
	degree seq :: [ 4^20, 8^10 ]

E11.386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3^2 * Y2 * Y1, Y2^-1 * Y1 * Y3^2 * Y2^-1 * Y1, Y2^-1 * Y3^-3 * Y2^-1 * Y3^2, Y3^2 * Y1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 20, 60)(9, 49, 26, 66)(12, 52, 21, 61)(13, 53, 30, 70)(14, 54, 25, 65)(15, 55, 28, 68)(16, 56, 23, 63)(18, 58, 35, 75)(19, 59, 24, 64)(22, 62, 33, 73)(27, 67, 36, 76)(29, 69, 34, 74)(31, 71, 39, 79)(32, 72, 38, 78)(37, 77, 40, 80)(81, 121, 83, 123, 92, 132, 85, 125)(82, 122, 87, 127, 101, 141, 89, 129)(84, 124, 94, 134, 111, 151, 96, 136)(86, 126, 93, 133, 112, 152, 98, 138)(88, 128, 103, 143, 118, 158, 105, 145)(90, 130, 102, 142, 119, 159, 107, 147)(91, 131, 104, 144, 97, 137, 109, 149)(95, 135, 106, 146, 117, 157, 100, 140)(99, 139, 113, 153, 114, 154, 116, 156)(108, 148, 110, 150, 120, 160, 115, 155)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 98)(6, 81)(7, 102)(8, 104)(9, 107)(10, 82)(11, 105)(12, 111)(13, 113)(14, 83)(15, 114)(16, 85)(17, 103)(18, 116)(19, 86)(20, 96)(21, 118)(22, 110)(23, 87)(24, 120)(25, 89)(26, 94)(27, 115)(28, 90)(29, 108)(30, 91)(31, 117)(32, 92)(33, 100)(34, 112)(35, 97)(36, 106)(37, 99)(38, 109)(39, 101)(40, 119)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 80 f = 30
	degree seq :: [ 4^20, 8^10 ]

E11.387 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, Y2^2 * Y1^-2, Y2^2 * Y1^2, (Y2, Y1^-1), Y2^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y2^-1 * Y1^-1 * Y3)^2, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 11, 51)(5, 45, 16, 56)(6, 46, 17, 57)(7, 47, 18, 58)(8, 48, 19, 59)(10, 50, 24, 64)(12, 52, 30, 70)(13, 53, 32, 72)(14, 54, 33, 73)(15, 55, 34, 74)(20, 60, 37, 77)(21, 61, 27, 67)(22, 62, 26, 66)(23, 63, 38, 78)(25, 65, 31, 71)(28, 68, 29, 69)(35, 75, 40, 80)(36, 76, 39, 79)(81, 82, 87, 85)(83, 88, 86, 90)(84, 92, 109, 94)(89, 100, 110, 102)(91, 105, 119, 107)(93, 99, 95, 111)(96, 108, 120, 106)(97, 103, 114, 101)(98, 115, 117, 113)(104, 116, 118, 112)(121, 123, 127, 126)(122, 128, 125, 130)(124, 133, 149, 135)(129, 141, 150, 143)(131, 146, 159, 148)(132, 139, 134, 151)(136, 147, 160, 145)(137, 142, 154, 140)(138, 152, 157, 156)(144, 153, 158, 155)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.396
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.388 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, Y1^2 * Y2^2, (Y1, Y2), Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 11, 51)(5, 45, 16, 56)(6, 46, 17, 57)(7, 47, 18, 58)(8, 48, 19, 59)(10, 50, 24, 64)(12, 52, 30, 70)(13, 53, 32, 72)(14, 54, 33, 73)(15, 55, 34, 74)(20, 60, 28, 68)(21, 61, 31, 71)(22, 62, 29, 69)(23, 63, 25, 65)(26, 66, 39, 79)(27, 67, 40, 80)(35, 75, 38, 78)(36, 76, 37, 77)(81, 82, 87, 85)(83, 88, 86, 90)(84, 92, 109, 94)(89, 100, 117, 102)(91, 105, 112, 107)(93, 99, 95, 111)(96, 108, 113, 106)(97, 103, 118, 101)(98, 110, 119, 116)(104, 114, 120, 115)(121, 123, 127, 126)(122, 128, 125, 130)(124, 133, 149, 135)(129, 141, 157, 143)(131, 146, 152, 148)(132, 139, 134, 151)(136, 147, 153, 145)(137, 142, 158, 140)(138, 155, 159, 154)(144, 156, 160, 150)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.395
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.389 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, Y2^-2 * Y1^2, (Y1 * Y2)^2, (Y1^-1 * Y2)^2, Y1^-1 * Y2^-2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2, Y1^-1), Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 11, 51)(5, 45, 16, 56)(6, 46, 17, 57)(7, 47, 18, 58)(8, 48, 19, 59)(10, 50, 24, 64)(12, 52, 30, 70)(13, 53, 32, 72)(14, 54, 33, 73)(15, 55, 34, 74)(20, 60, 37, 77)(21, 61, 26, 66)(22, 62, 27, 67)(23, 63, 38, 78)(25, 65, 29, 69)(28, 68, 31, 71)(35, 75, 39, 79)(36, 76, 40, 80)(81, 82, 87, 85)(83, 88, 86, 90)(84, 92, 109, 94)(89, 100, 114, 102)(91, 105, 119, 107)(93, 99, 95, 111)(96, 108, 120, 106)(97, 103, 110, 101)(98, 115, 118, 112)(104, 116, 117, 113)(121, 123, 127, 126)(122, 128, 125, 130)(124, 133, 149, 135)(129, 141, 154, 143)(131, 146, 159, 148)(132, 139, 134, 151)(136, 147, 160, 145)(137, 142, 150, 140)(138, 153, 158, 156)(144, 152, 157, 155)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.394
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.390 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, Y1^2 * Y2^2, (Y1, Y2), R * Y2 * R * Y1, Y1^4, Y2^4, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 11, 51)(5, 45, 16, 56)(6, 46, 17, 57)(7, 47, 18, 58)(8, 48, 19, 59)(10, 50, 24, 64)(12, 52, 30, 70)(13, 53, 32, 72)(14, 54, 33, 73)(15, 55, 34, 74)(20, 60, 25, 65)(21, 61, 29, 69)(22, 62, 31, 71)(23, 63, 28, 68)(26, 66, 39, 79)(27, 67, 40, 80)(35, 75, 37, 77)(36, 76, 38, 78)(81, 82, 87, 85)(83, 88, 86, 90)(84, 92, 109, 94)(89, 100, 117, 102)(91, 105, 113, 107)(93, 99, 95, 111)(96, 108, 112, 106)(97, 103, 118, 101)(98, 114, 120, 116)(104, 110, 119, 115)(121, 123, 127, 126)(122, 128, 125, 130)(124, 133, 149, 135)(129, 141, 157, 143)(131, 146, 153, 148)(132, 139, 134, 151)(136, 147, 152, 145)(137, 142, 158, 140)(138, 155, 160, 150)(144, 156, 159, 154)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.393
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.391 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x C2 x (C5 : C4) (small group id <80, 50>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, Y1^4, R * Y2 * R * Y1, Y2^2 * Y1^-2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 6, 46)(3, 43, 7, 47)(5, 45, 10, 50)(8, 48, 16, 56)(9, 49, 17, 57)(11, 51, 21, 61)(12, 52, 22, 62)(13, 53, 24, 64)(14, 54, 25, 65)(15, 55, 26, 66)(18, 58, 30, 70)(19, 59, 31, 71)(20, 60, 32, 72)(23, 63, 33, 73)(27, 67, 29, 69)(28, 68, 36, 76)(34, 74, 38, 78)(35, 75, 39, 79)(37, 77, 40, 80)(81, 82, 85, 83)(84, 88, 95, 89)(86, 91, 100, 92)(87, 93, 103, 94)(90, 98, 109, 99)(96, 105, 115, 107)(97, 108, 113, 101)(102, 114, 106, 110)(104, 111, 117, 112)(116, 118, 120, 119)(121, 123, 125, 122)(124, 129, 135, 128)(126, 132, 140, 131)(127, 134, 143, 133)(130, 139, 149, 138)(136, 147, 155, 145)(137, 141, 153, 148)(142, 150, 146, 154)(144, 152, 157, 151)(156, 159, 160, 158)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.398
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.392 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x C2 x (C5 : C4) (small group id <80, 50>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^2 * Y1^-2, Y2 * Y3 * Y2^-3 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 6, 46)(3, 43, 7, 47)(5, 45, 10, 50)(8, 48, 16, 56)(9, 49, 17, 57)(11, 51, 21, 61)(12, 52, 22, 62)(13, 53, 24, 64)(14, 54, 25, 65)(15, 55, 26, 66)(18, 58, 30, 70)(19, 59, 31, 71)(20, 60, 32, 72)(23, 63, 34, 74)(27, 67, 36, 76)(28, 68, 29, 69)(33, 73, 38, 78)(35, 75, 39, 79)(37, 77, 40, 80)(81, 82, 85, 83)(84, 88, 95, 89)(86, 91, 100, 92)(87, 93, 103, 94)(90, 98, 109, 99)(96, 105, 112, 107)(97, 108, 113, 101)(102, 114, 117, 110)(104, 111, 106, 115)(116, 118, 120, 119)(121, 123, 125, 122)(124, 129, 135, 128)(126, 132, 140, 131)(127, 134, 143, 133)(130, 139, 149, 138)(136, 147, 152, 145)(137, 141, 153, 148)(142, 150, 157, 154)(144, 155, 146, 151)(156, 159, 160, 158)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.397
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.393 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, Y2^2 * Y1^-2, Y2^2 * Y1^2, (Y2, Y1^-1), Y2^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y2^-1 * Y1^-1 * Y3)^2, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 11, 51, 91, 131)(5, 45, 85, 125, 16, 56, 96, 136)(6, 46, 86, 126, 17, 57, 97, 137)(7, 47, 87, 127, 18, 58, 98, 138)(8, 48, 88, 128, 19, 59, 99, 139)(10, 50, 90, 130, 24, 64, 104, 144)(12, 52, 92, 132, 30, 70, 110, 150)(13, 53, 93, 133, 32, 72, 112, 152)(14, 54, 94, 134, 33, 73, 113, 153)(15, 55, 95, 135, 34, 74, 114, 154)(20, 60, 100, 140, 37, 77, 117, 157)(21, 61, 101, 141, 27, 67, 107, 147)(22, 62, 102, 142, 26, 66, 106, 146)(23, 63, 103, 143, 38, 78, 118, 158)(25, 65, 105, 145, 31, 71, 111, 151)(28, 68, 108, 148, 29, 69, 109, 149)(35, 75, 115, 155, 40, 80, 120, 160)(36, 76, 116, 156, 39, 79, 119, 159)
	L = (1, 42)(2, 47)(3, 48)(4, 52)(5, 41)(6, 50)(7, 45)(8, 46)(9, 60)(10, 43)(11, 65)(12, 69)(13, 59)(14, 44)(15, 71)(16, 68)(17, 63)(18, 75)(19, 55)(20, 70)(21, 57)(22, 49)(23, 74)(24, 76)(25, 79)(26, 56)(27, 51)(28, 80)(29, 54)(30, 62)(31, 53)(32, 64)(33, 58)(34, 61)(35, 77)(36, 78)(37, 73)(38, 72)(39, 67)(40, 66)(81, 123)(82, 128)(83, 127)(84, 133)(85, 130)(86, 121)(87, 126)(88, 125)(89, 141)(90, 122)(91, 146)(92, 139)(93, 149)(94, 151)(95, 124)(96, 147)(97, 142)(98, 152)(99, 134)(100, 137)(101, 150)(102, 154)(103, 129)(104, 153)(105, 136)(106, 159)(107, 160)(108, 131)(109, 135)(110, 143)(111, 132)(112, 157)(113, 158)(114, 140)(115, 144)(116, 138)(117, 156)(118, 155)(119, 148)(120, 145)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.390
Transitivity :: VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.394 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, Y1^2 * Y2^2, (Y1, Y2), Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 11, 51, 91, 131)(5, 45, 85, 125, 16, 56, 96, 136)(6, 46, 86, 126, 17, 57, 97, 137)(7, 47, 87, 127, 18, 58, 98, 138)(8, 48, 88, 128, 19, 59, 99, 139)(10, 50, 90, 130, 24, 64, 104, 144)(12, 52, 92, 132, 30, 70, 110, 150)(13, 53, 93, 133, 32, 72, 112, 152)(14, 54, 94, 134, 33, 73, 113, 153)(15, 55, 95, 135, 34, 74, 114, 154)(20, 60, 100, 140, 28, 68, 108, 148)(21, 61, 101, 141, 31, 71, 111, 151)(22, 62, 102, 142, 29, 69, 109, 149)(23, 63, 103, 143, 25, 65, 105, 145)(26, 66, 106, 146, 39, 79, 119, 159)(27, 67, 107, 147, 40, 80, 120, 160)(35, 75, 115, 155, 38, 78, 118, 158)(36, 76, 116, 156, 37, 77, 117, 157)
	L = (1, 42)(2, 47)(3, 48)(4, 52)(5, 41)(6, 50)(7, 45)(8, 46)(9, 60)(10, 43)(11, 65)(12, 69)(13, 59)(14, 44)(15, 71)(16, 68)(17, 63)(18, 70)(19, 55)(20, 77)(21, 57)(22, 49)(23, 78)(24, 74)(25, 72)(26, 56)(27, 51)(28, 73)(29, 54)(30, 79)(31, 53)(32, 67)(33, 66)(34, 80)(35, 64)(36, 58)(37, 62)(38, 61)(39, 76)(40, 75)(81, 123)(82, 128)(83, 127)(84, 133)(85, 130)(86, 121)(87, 126)(88, 125)(89, 141)(90, 122)(91, 146)(92, 139)(93, 149)(94, 151)(95, 124)(96, 147)(97, 142)(98, 155)(99, 134)(100, 137)(101, 157)(102, 158)(103, 129)(104, 156)(105, 136)(106, 152)(107, 153)(108, 131)(109, 135)(110, 144)(111, 132)(112, 148)(113, 145)(114, 138)(115, 159)(116, 160)(117, 143)(118, 140)(119, 154)(120, 150)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.389
Transitivity :: VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.395 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, Y2^-2 * Y1^2, (Y1 * Y2)^2, (Y1^-1 * Y2)^2, Y1^-1 * Y2^-2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2, Y1^-1), Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 11, 51, 91, 131)(5, 45, 85, 125, 16, 56, 96, 136)(6, 46, 86, 126, 17, 57, 97, 137)(7, 47, 87, 127, 18, 58, 98, 138)(8, 48, 88, 128, 19, 59, 99, 139)(10, 50, 90, 130, 24, 64, 104, 144)(12, 52, 92, 132, 30, 70, 110, 150)(13, 53, 93, 133, 32, 72, 112, 152)(14, 54, 94, 134, 33, 73, 113, 153)(15, 55, 95, 135, 34, 74, 114, 154)(20, 60, 100, 140, 37, 77, 117, 157)(21, 61, 101, 141, 26, 66, 106, 146)(22, 62, 102, 142, 27, 67, 107, 147)(23, 63, 103, 143, 38, 78, 118, 158)(25, 65, 105, 145, 29, 69, 109, 149)(28, 68, 108, 148, 31, 71, 111, 151)(35, 75, 115, 155, 39, 79, 119, 159)(36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 47)(3, 48)(4, 52)(5, 41)(6, 50)(7, 45)(8, 46)(9, 60)(10, 43)(11, 65)(12, 69)(13, 59)(14, 44)(15, 71)(16, 68)(17, 63)(18, 75)(19, 55)(20, 74)(21, 57)(22, 49)(23, 70)(24, 76)(25, 79)(26, 56)(27, 51)(28, 80)(29, 54)(30, 61)(31, 53)(32, 58)(33, 64)(34, 62)(35, 78)(36, 77)(37, 73)(38, 72)(39, 67)(40, 66)(81, 123)(82, 128)(83, 127)(84, 133)(85, 130)(86, 121)(87, 126)(88, 125)(89, 141)(90, 122)(91, 146)(92, 139)(93, 149)(94, 151)(95, 124)(96, 147)(97, 142)(98, 153)(99, 134)(100, 137)(101, 154)(102, 150)(103, 129)(104, 152)(105, 136)(106, 159)(107, 160)(108, 131)(109, 135)(110, 140)(111, 132)(112, 157)(113, 158)(114, 143)(115, 144)(116, 138)(117, 155)(118, 156)(119, 148)(120, 145)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.388
Transitivity :: VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.396 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, Y1^2 * Y2^2, (Y1, Y2), R * Y2 * R * Y1, Y1^4, Y2^4, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 11, 51, 91, 131)(5, 45, 85, 125, 16, 56, 96, 136)(6, 46, 86, 126, 17, 57, 97, 137)(7, 47, 87, 127, 18, 58, 98, 138)(8, 48, 88, 128, 19, 59, 99, 139)(10, 50, 90, 130, 24, 64, 104, 144)(12, 52, 92, 132, 30, 70, 110, 150)(13, 53, 93, 133, 32, 72, 112, 152)(14, 54, 94, 134, 33, 73, 113, 153)(15, 55, 95, 135, 34, 74, 114, 154)(20, 60, 100, 140, 25, 65, 105, 145)(21, 61, 101, 141, 29, 69, 109, 149)(22, 62, 102, 142, 31, 71, 111, 151)(23, 63, 103, 143, 28, 68, 108, 148)(26, 66, 106, 146, 39, 79, 119, 159)(27, 67, 107, 147, 40, 80, 120, 160)(35, 75, 115, 155, 37, 77, 117, 157)(36, 76, 116, 156, 38, 78, 118, 158)
	L = (1, 42)(2, 47)(3, 48)(4, 52)(5, 41)(6, 50)(7, 45)(8, 46)(9, 60)(10, 43)(11, 65)(12, 69)(13, 59)(14, 44)(15, 71)(16, 68)(17, 63)(18, 74)(19, 55)(20, 77)(21, 57)(22, 49)(23, 78)(24, 70)(25, 73)(26, 56)(27, 51)(28, 72)(29, 54)(30, 79)(31, 53)(32, 66)(33, 67)(34, 80)(35, 64)(36, 58)(37, 62)(38, 61)(39, 75)(40, 76)(81, 123)(82, 128)(83, 127)(84, 133)(85, 130)(86, 121)(87, 126)(88, 125)(89, 141)(90, 122)(91, 146)(92, 139)(93, 149)(94, 151)(95, 124)(96, 147)(97, 142)(98, 155)(99, 134)(100, 137)(101, 157)(102, 158)(103, 129)(104, 156)(105, 136)(106, 153)(107, 152)(108, 131)(109, 135)(110, 138)(111, 132)(112, 145)(113, 148)(114, 144)(115, 160)(116, 159)(117, 143)(118, 140)(119, 154)(120, 150)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.387
Transitivity :: VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.397 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x C2 x (C5 : C4) (small group id <80, 50>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, Y1^4, R * Y2 * R * Y1, Y2^2 * Y1^-2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 6, 46, 86, 126)(3, 43, 83, 123, 7, 47, 87, 127)(5, 45, 85, 125, 10, 50, 90, 130)(8, 48, 88, 128, 16, 56, 96, 136)(9, 49, 89, 129, 17, 57, 97, 137)(11, 51, 91, 131, 21, 61, 101, 141)(12, 52, 92, 132, 22, 62, 102, 142)(13, 53, 93, 133, 24, 64, 104, 144)(14, 54, 94, 134, 25, 65, 105, 145)(15, 55, 95, 135, 26, 66, 106, 146)(18, 58, 98, 138, 30, 70, 110, 150)(19, 59, 99, 139, 31, 71, 111, 151)(20, 60, 100, 140, 32, 72, 112, 152)(23, 63, 103, 143, 33, 73, 113, 153)(27, 67, 107, 147, 29, 69, 109, 149)(28, 68, 108, 148, 36, 76, 116, 156)(34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159)(37, 77, 117, 157, 40, 80, 120, 160)
	L = (1, 42)(2, 45)(3, 41)(4, 48)(5, 43)(6, 51)(7, 53)(8, 55)(9, 44)(10, 58)(11, 60)(12, 46)(13, 63)(14, 47)(15, 49)(16, 65)(17, 68)(18, 69)(19, 50)(20, 52)(21, 57)(22, 74)(23, 54)(24, 71)(25, 75)(26, 70)(27, 56)(28, 73)(29, 59)(30, 62)(31, 77)(32, 64)(33, 61)(34, 66)(35, 67)(36, 78)(37, 72)(38, 80)(39, 76)(40, 79)(81, 123)(82, 121)(83, 125)(84, 129)(85, 122)(86, 132)(87, 134)(88, 124)(89, 135)(90, 139)(91, 126)(92, 140)(93, 127)(94, 143)(95, 128)(96, 147)(97, 141)(98, 130)(99, 149)(100, 131)(101, 153)(102, 150)(103, 133)(104, 152)(105, 136)(106, 154)(107, 155)(108, 137)(109, 138)(110, 146)(111, 144)(112, 157)(113, 148)(114, 142)(115, 145)(116, 159)(117, 151)(118, 156)(119, 160)(120, 158)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.392
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.398 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x C2 x (C5 : C4) (small group id <80, 50>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^2 * Y1^-2, Y2 * Y3 * Y2^-3 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 6, 46, 86, 126)(3, 43, 83, 123, 7, 47, 87, 127)(5, 45, 85, 125, 10, 50, 90, 130)(8, 48, 88, 128, 16, 56, 96, 136)(9, 49, 89, 129, 17, 57, 97, 137)(11, 51, 91, 131, 21, 61, 101, 141)(12, 52, 92, 132, 22, 62, 102, 142)(13, 53, 93, 133, 24, 64, 104, 144)(14, 54, 94, 134, 25, 65, 105, 145)(15, 55, 95, 135, 26, 66, 106, 146)(18, 58, 98, 138, 30, 70, 110, 150)(19, 59, 99, 139, 31, 71, 111, 151)(20, 60, 100, 140, 32, 72, 112, 152)(23, 63, 103, 143, 34, 74, 114, 154)(27, 67, 107, 147, 36, 76, 116, 156)(28, 68, 108, 148, 29, 69, 109, 149)(33, 73, 113, 153, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159)(37, 77, 117, 157, 40, 80, 120, 160)
	L = (1, 42)(2, 45)(3, 41)(4, 48)(5, 43)(6, 51)(7, 53)(8, 55)(9, 44)(10, 58)(11, 60)(12, 46)(13, 63)(14, 47)(15, 49)(16, 65)(17, 68)(18, 69)(19, 50)(20, 52)(21, 57)(22, 74)(23, 54)(24, 71)(25, 72)(26, 75)(27, 56)(28, 73)(29, 59)(30, 62)(31, 66)(32, 67)(33, 61)(34, 77)(35, 64)(36, 78)(37, 70)(38, 80)(39, 76)(40, 79)(81, 123)(82, 121)(83, 125)(84, 129)(85, 122)(86, 132)(87, 134)(88, 124)(89, 135)(90, 139)(91, 126)(92, 140)(93, 127)(94, 143)(95, 128)(96, 147)(97, 141)(98, 130)(99, 149)(100, 131)(101, 153)(102, 150)(103, 133)(104, 155)(105, 136)(106, 151)(107, 152)(108, 137)(109, 138)(110, 157)(111, 144)(112, 145)(113, 148)(114, 142)(115, 146)(116, 159)(117, 154)(118, 156)(119, 160)(120, 158)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.391
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.399 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = C5 : C8 (small group id <40, 3>)
|r| :: 1
Presentation :: [ X1^4, X1^-1 * X2 * X1^-2 * X2^-1 * X1^-1, X2^4 * X1^-2, X1^-1 * X2 * X1^-1 * X2^2 * X1 * X2^-1, X1 * X2 * X1 * X2^-2 * X1^-1 * X2^-1 ]
Map:: non-degenerate
	R = (1, 2, 6, 4)(3, 9, 17, 11)(5, 14, 18, 15)(7, 19, 12, 21)(8, 22, 13, 23)(10, 27, 16, 28)(20, 33, 24, 31)(25, 36, 29, 35)(26, 34, 30, 32)(37, 40, 38, 39)(41, 43, 50, 58, 46, 57, 56, 45)(42, 47, 60, 53, 44, 52, 64, 48)(49, 65, 59, 70, 51, 69, 61, 66)(54, 71, 79, 74, 55, 73, 80, 72)(62, 67, 77, 76, 63, 68, 78, 75)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E11.402
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 40 f = 5
	degree seq :: [ 4^10, 8^5 ]

E11.400 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = C5 : C8 (small group id <40, 3>)
|r| :: 1
Presentation :: [ X1^4, X1^4, X1^-1 * X2 * X1^-2 * X2^-1 * X1^-1, X2^4 * X1^-2, X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^-2, (X2^-1 * X1)^8 ]
Map:: non-degenerate
	R = (1, 2, 6, 4)(3, 9, 17, 11)(5, 14, 18, 15)(7, 19, 12, 21)(8, 22, 13, 23)(10, 27, 16, 28)(20, 26, 24, 30)(25, 31, 29, 33)(32, 36, 34, 35)(37, 39, 38, 40)(41, 43, 50, 58, 46, 57, 56, 45)(42, 47, 60, 53, 44, 52, 64, 48)(49, 65, 77, 70, 51, 69, 78, 66)(54, 71, 63, 74, 55, 73, 62, 72)(59, 75, 79, 67, 61, 76, 80, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 40 f = 5
	degree seq :: [ 4^10, 8^5 ]

E11.401 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = C5 : C8 (small group id <40, 3>)
|r| :: 1
Presentation :: [ X2 * X1 * X2 * X1^-3, X2^2 * X1 * X2^-1 * X1^-2, X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1, X2 * X1 * X2 * X1^5, X2^8 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 18, 58, 34, 74, 29, 69, 13, 53, 4, 44)(3, 43, 9, 49, 27, 67, 37, 77, 31, 71, 14, 54, 28, 68, 11, 51)(5, 45, 15, 55, 23, 63, 7, 47, 21, 61, 39, 79, 32, 72, 16, 56)(8, 48, 24, 64, 10, 50, 19, 59, 36, 76, 33, 73, 17, 57, 25, 65)(12, 52, 20, 60, 38, 78, 22, 62, 35, 75, 30, 70, 40, 80, 26, 66)
	L = (1, 43)(2, 47)(3, 50)(4, 52)(5, 41)(6, 59)(7, 62)(8, 42)(9, 58)(10, 61)(11, 60)(12, 63)(13, 65)(14, 44)(15, 64)(16, 66)(17, 45)(18, 75)(19, 77)(20, 46)(21, 74)(22, 76)(23, 49)(24, 78)(25, 51)(26, 48)(27, 79)(28, 55)(29, 56)(30, 53)(31, 57)(32, 54)(33, 80)(34, 71)(35, 72)(36, 69)(37, 70)(38, 67)(39, 73)(40, 68)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 5 e = 40 f = 15
	degree seq :: [ 16^5 ]

E11.402 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = C5 : C8 (small group id <40, 3>)
|r| :: 1
Presentation :: [ X2^-1 * X1^3 * X2^-1 * X1^-1, X1^-2 * X2 * X1^-1 * X2^-2, X2^2 * X1^2 * X2 * X1^-1, X1^8, X2^8, (X2^-1 * X1^-1)^4 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 18, 58, 34, 74, 32, 72, 13, 53, 4, 44)(3, 43, 9, 49, 27, 67, 38, 78, 33, 73, 14, 54, 31, 71, 11, 51)(5, 45, 15, 55, 23, 63, 7, 47, 21, 61, 39, 79, 28, 68, 16, 56)(8, 48, 24, 64, 17, 57, 19, 59, 36, 76, 29, 69, 10, 50, 25, 65)(12, 52, 20, 60, 37, 77, 26, 66, 35, 75, 30, 70, 40, 80, 22, 62)
	L = (1, 43)(2, 47)(3, 50)(4, 52)(5, 41)(6, 59)(7, 62)(8, 42)(9, 58)(10, 61)(11, 70)(12, 68)(13, 65)(14, 44)(15, 69)(16, 66)(17, 45)(18, 75)(19, 51)(20, 46)(21, 74)(22, 76)(23, 54)(24, 80)(25, 78)(26, 48)(27, 55)(28, 49)(29, 77)(30, 53)(31, 79)(32, 56)(33, 57)(34, 73)(35, 63)(36, 72)(37, 71)(38, 60)(39, 64)(40, 67)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Dual of E11.399
Transitivity :: ET+ VT+
Graph::
	v = 5 e = 40 f = 15
	degree seq :: [ 16^5 ]

E11.403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 5, 49)(4, 48, 8, 52)(6, 50, 10, 54)(7, 51, 11, 55)(9, 53, 13, 57)(12, 56, 16, 60)(14, 58, 18, 62)(15, 59, 19, 63)(17, 61, 21, 65)(20, 64, 24, 68)(22, 66, 26, 70)(23, 67, 27, 71)(25, 69, 29, 73)(28, 72, 32, 76)(30, 74, 34, 78)(31, 75, 35, 79)(33, 77, 37, 81)(36, 80, 40, 84)(38, 82, 42, 86)(39, 83, 43, 87)(41, 85, 44, 88)(89, 133, 91, 135)(90, 134, 93, 137)(92, 136, 95, 139)(94, 138, 97, 141)(96, 140, 99, 143)(98, 142, 101, 145)(100, 144, 103, 147)(102, 146, 105, 149)(104, 148, 107, 151)(106, 150, 109, 153)(108, 152, 111, 155)(110, 154, 113, 157)(112, 156, 115, 159)(114, 158, 117, 161)(116, 160, 119, 163)(118, 162, 121, 165)(120, 164, 123, 167)(122, 166, 125, 169)(124, 168, 127, 171)(126, 170, 129, 173)(128, 172, 131, 175)(130, 174, 132, 176)
	L = (1, 92)(2, 94)(3, 95)(4, 89)(5, 97)(6, 90)(7, 91)(8, 100)(9, 93)(10, 102)(11, 103)(12, 96)(13, 105)(14, 98)(15, 99)(16, 108)(17, 101)(18, 110)(19, 111)(20, 104)(21, 113)(22, 106)(23, 107)(24, 116)(25, 109)(26, 118)(27, 119)(28, 112)(29, 121)(30, 114)(31, 115)(32, 124)(33, 117)(34, 126)(35, 127)(36, 120)(37, 129)(38, 122)(39, 123)(40, 132)(41, 125)(42, 131)(43, 130)(44, 128)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E11.404
Graph:: simple bipartite
	v = 44 e = 88 f = 24
	degree seq :: [ 4^44 ]

E11.404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, Y1^6 * Y3 * Y1^-5 * Y2, Y1^2 * Y3 * Y1^-1 * Y2 * Y1^4 * Y3 * Y2 * Y1^4 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 45, 2, 46, 6, 50, 13, 57, 21, 65, 29, 73, 37, 81, 42, 86, 34, 78, 26, 70, 18, 62, 10, 54, 16, 60, 24, 68, 32, 76, 40, 84, 44, 88, 36, 80, 28, 72, 20, 64, 12, 56, 5, 49)(3, 47, 9, 53, 17, 61, 25, 69, 33, 77, 41, 85, 39, 83, 31, 75, 23, 67, 15, 59, 8, 52, 4, 48, 11, 55, 19, 63, 27, 71, 35, 79, 43, 87, 38, 82, 30, 74, 22, 66, 14, 58, 7, 51)(89, 133, 91, 135)(90, 134, 95, 139)(92, 136, 98, 142)(93, 137, 97, 141)(94, 138, 102, 146)(96, 140, 104, 148)(99, 143, 106, 150)(100, 144, 105, 149)(101, 145, 110, 154)(103, 147, 112, 156)(107, 151, 114, 158)(108, 152, 113, 157)(109, 153, 118, 162)(111, 155, 120, 164)(115, 159, 122, 166)(116, 160, 121, 165)(117, 161, 126, 170)(119, 163, 128, 172)(123, 167, 130, 174)(124, 168, 129, 173)(125, 169, 131, 175)(127, 171, 132, 176)
	L = (1, 92)(2, 96)(3, 98)(4, 89)(5, 99)(6, 103)(7, 104)(8, 90)(9, 106)(10, 91)(11, 93)(12, 107)(13, 111)(14, 112)(15, 94)(16, 95)(17, 114)(18, 97)(19, 100)(20, 115)(21, 119)(22, 120)(23, 101)(24, 102)(25, 122)(26, 105)(27, 108)(28, 123)(29, 127)(30, 128)(31, 109)(32, 110)(33, 130)(34, 113)(35, 116)(36, 131)(37, 129)(38, 132)(39, 117)(40, 118)(41, 125)(42, 121)(43, 124)(44, 126)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4^4 ), ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E11.403
Graph:: bipartite
	v = 24 e = 88 f = 44
	degree seq :: [ 4^22, 44^2 ]

E11.405 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 22})
Quotient :: edge
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^4, (F * T1)^2, T2 * T1 * T2 * T1^-1, T1^-2 * T2^11 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 38, 30, 22, 14, 6, 13, 21, 29, 37, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 42, 34, 26, 18, 10, 4, 11, 19, 27, 35, 43, 40, 32, 24, 16, 8)(45, 46, 50, 48)(47, 52, 57, 54)(49, 51, 58, 55)(53, 60, 65, 62)(56, 59, 66, 63)(61, 68, 73, 70)(64, 67, 74, 71)(69, 76, 81, 78)(72, 75, 82, 79)(77, 84, 88, 86)(80, 83, 85, 87)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 8^4 ), ( 8^22 ) }
Outer automorphisms :: reflexible
Dual of E11.406
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 44 f = 11
	degree seq :: [ 4^11, 22^2 ]

E11.406 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 22})
Quotient :: loop
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^2 * T2^2, (F * T2)^2, T2^-1 * T1^2 * T2^-1, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * 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, 45, 3, 47, 6, 50, 5, 49)(2, 46, 7, 51, 4, 48, 8, 52)(9, 53, 13, 57, 10, 54, 14, 58)(11, 55, 15, 59, 12, 56, 16, 60)(17, 61, 21, 65, 18, 62, 22, 66)(19, 63, 23, 67, 20, 64, 24, 68)(25, 69, 29, 73, 26, 70, 30, 74)(27, 71, 31, 75, 28, 72, 32, 76)(33, 77, 37, 81, 34, 78, 38, 82)(35, 79, 39, 83, 36, 80, 40, 84)(41, 85, 43, 87, 42, 86, 44, 88)
	L = (1, 46)(2, 50)(3, 53)(4, 45)(5, 54)(6, 48)(7, 55)(8, 56)(9, 49)(10, 47)(11, 52)(12, 51)(13, 61)(14, 62)(15, 63)(16, 64)(17, 58)(18, 57)(19, 60)(20, 59)(21, 69)(22, 70)(23, 71)(24, 72)(25, 66)(26, 65)(27, 68)(28, 67)(29, 77)(30, 78)(31, 79)(32, 80)(33, 74)(34, 73)(35, 76)(36, 75)(37, 85)(38, 86)(39, 87)(40, 88)(41, 82)(42, 81)(43, 84)(44, 83)
	local type(s) :: { ( 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E11.405
Transitivity :: ET+ VT+ AT
Graph::
	v = 11 e = 44 f = 13
	degree seq :: [ 8^11 ]

E11.407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 22})
Quotient :: dipole
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (Y3^-1 * Y1^-1)^4, Y2^-1 * Y1 * Y2^5 * Y1 * Y2^-5, Y2^22 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 4, 48)(3, 47, 8, 52, 13, 57, 10, 54)(5, 49, 7, 51, 14, 58, 11, 55)(9, 53, 16, 60, 21, 65, 18, 62)(12, 56, 15, 59, 22, 66, 19, 63)(17, 61, 24, 68, 29, 73, 26, 70)(20, 64, 23, 67, 30, 74, 27, 71)(25, 69, 32, 76, 37, 81, 34, 78)(28, 72, 31, 75, 38, 82, 35, 79)(33, 77, 40, 84, 44, 88, 42, 86)(36, 80, 39, 83, 41, 85, 43, 87)(89, 133, 91, 135, 97, 141, 105, 149, 113, 157, 121, 165, 129, 173, 126, 170, 118, 162, 110, 154, 102, 146, 94, 138, 101, 145, 109, 153, 117, 161, 125, 169, 132, 176, 124, 168, 116, 160, 108, 152, 100, 144, 93, 137)(90, 134, 95, 139, 103, 147, 111, 155, 119, 163, 127, 171, 130, 174, 122, 166, 114, 158, 106, 150, 98, 142, 92, 136, 99, 143, 107, 151, 115, 159, 123, 167, 131, 175, 128, 172, 120, 164, 112, 156, 104, 148, 96, 140)
	L = (1, 91)(2, 95)(3, 97)(4, 99)(5, 89)(6, 101)(7, 103)(8, 90)(9, 105)(10, 92)(11, 107)(12, 93)(13, 109)(14, 94)(15, 111)(16, 96)(17, 113)(18, 98)(19, 115)(20, 100)(21, 117)(22, 102)(23, 119)(24, 104)(25, 121)(26, 106)(27, 123)(28, 108)(29, 125)(30, 110)(31, 127)(32, 112)(33, 129)(34, 114)(35, 131)(36, 116)(37, 132)(38, 118)(39, 130)(40, 120)(41, 126)(42, 122)(43, 128)(44, 124)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E11.408
Graph:: bipartite
	v = 13 e = 88 f = 55
	degree seq :: [ 8^11, 44^2 ]

E11.408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 22})
Quotient :: dipole
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^11, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)(89, 133, 90, 134, 94, 138, 92, 136)(91, 135, 96, 140, 101, 145, 98, 142)(93, 137, 95, 139, 102, 146, 99, 143)(97, 141, 104, 148, 109, 153, 106, 150)(100, 144, 103, 147, 110, 154, 107, 151)(105, 149, 112, 156, 117, 161, 114, 158)(108, 152, 111, 155, 118, 162, 115, 159)(113, 157, 120, 164, 125, 169, 122, 166)(116, 160, 119, 163, 126, 170, 123, 167)(121, 165, 128, 172, 132, 176, 130, 174)(124, 168, 127, 171, 129, 173, 131, 175)
	L = (1, 91)(2, 95)(3, 97)(4, 99)(5, 89)(6, 101)(7, 103)(8, 90)(9, 105)(10, 92)(11, 107)(12, 93)(13, 109)(14, 94)(15, 111)(16, 96)(17, 113)(18, 98)(19, 115)(20, 100)(21, 117)(22, 102)(23, 119)(24, 104)(25, 121)(26, 106)(27, 123)(28, 108)(29, 125)(30, 110)(31, 127)(32, 112)(33, 129)(34, 114)(35, 131)(36, 116)(37, 132)(38, 118)(39, 130)(40, 120)(41, 126)(42, 122)(43, 128)(44, 124)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 8, 44 ), ( 8, 44, 8, 44, 8, 44, 8, 44 ) }
Outer automorphisms :: reflexible
Dual of E11.407
Graph:: simple bipartite
	v = 55 e = 88 f = 13
	degree seq :: [ 2^44, 8^11 ]

E11.409 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 44, 44})
Quotient :: regular
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^22 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 43, 39, 35, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 44)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 22 f = 1
	degree seq :: [ 44 ]

E11.410 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^22 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(45, 46)(47, 49)(48, 50)(51, 53)(52, 54)(55, 57)(56, 58)(59, 61)(60, 62)(63, 65)(64, 66)(67, 69)(68, 70)(71, 73)(72, 74)(75, 77)(76, 78)(79, 81)(80, 82)(83, 85)(84, 86)(87, 88)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E11.411
Transitivity :: ET+
Graph:: bipartite
	v = 23 e = 44 f = 1
	degree seq :: [ 2^22, 44 ]

E11.411 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^22 * T1 ]
Map::
	R = (1, 45, 3, 47, 7, 51, 11, 55, 15, 59, 19, 63, 23, 67, 27, 71, 31, 75, 35, 79, 39, 83, 43, 87, 42, 86, 38, 82, 34, 78, 30, 74, 26, 70, 22, 66, 18, 62, 14, 58, 10, 54, 6, 50, 2, 46, 5, 49, 9, 53, 13, 57, 17, 61, 21, 65, 25, 69, 29, 73, 33, 77, 37, 81, 41, 85, 44, 88, 40, 84, 36, 80, 32, 76, 28, 72, 24, 68, 20, 64, 16, 60, 12, 56, 8, 52, 4, 48)
	L = (1, 46)(2, 45)(3, 49)(4, 50)(5, 47)(6, 48)(7, 53)(8, 54)(9, 51)(10, 52)(11, 57)(12, 58)(13, 55)(14, 56)(15, 61)(16, 62)(17, 59)(18, 60)(19, 65)(20, 66)(21, 63)(22, 64)(23, 69)(24, 70)(25, 67)(26, 68)(27, 73)(28, 74)(29, 71)(30, 72)(31, 77)(32, 78)(33, 75)(34, 76)(35, 81)(36, 82)(37, 79)(38, 80)(39, 85)(40, 86)(41, 83)(42, 84)(43, 88)(44, 87)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E11.410
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 44 f = 23
	degree seq :: [ 88 ]

E11.412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^22 * Y1, (Y3 * Y2^-1)^44 ]
Map::
	R = (1, 45, 2, 46)(3, 47, 5, 49)(4, 48, 6, 50)(7, 51, 9, 53)(8, 52, 10, 54)(11, 55, 13, 57)(12, 56, 14, 58)(15, 59, 17, 61)(16, 60, 18, 62)(19, 63, 21, 65)(20, 64, 22, 66)(23, 67, 25, 69)(24, 68, 26, 70)(27, 71, 29, 73)(28, 72, 30, 74)(31, 75, 33, 77)(32, 76, 34, 78)(35, 79, 37, 81)(36, 80, 38, 82)(39, 83, 41, 85)(40, 84, 42, 86)(43, 87, 44, 88)(89, 133, 91, 135, 95, 139, 99, 143, 103, 147, 107, 151, 111, 155, 115, 159, 119, 163, 123, 167, 127, 171, 131, 175, 130, 174, 126, 170, 122, 166, 118, 162, 114, 158, 110, 154, 106, 150, 102, 146, 98, 142, 94, 138, 90, 134, 93, 137, 97, 141, 101, 145, 105, 149, 109, 153, 113, 157, 117, 161, 121, 165, 125, 169, 129, 173, 132, 176, 128, 172, 124, 168, 120, 164, 116, 160, 112, 156, 108, 152, 104, 148, 100, 144, 96, 140, 92, 136)
	L = (1, 90)(2, 89)(3, 93)(4, 94)(5, 91)(6, 92)(7, 97)(8, 98)(9, 95)(10, 96)(11, 101)(12, 102)(13, 99)(14, 100)(15, 105)(16, 106)(17, 103)(18, 104)(19, 109)(20, 110)(21, 107)(22, 108)(23, 113)(24, 114)(25, 111)(26, 112)(27, 117)(28, 118)(29, 115)(30, 116)(31, 121)(32, 122)(33, 119)(34, 120)(35, 125)(36, 126)(37, 123)(38, 124)(39, 129)(40, 130)(41, 127)(42, 128)(43, 132)(44, 131)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E11.413
Graph:: bipartite
	v = 23 e = 88 f = 45
	degree seq :: [ 4^22, 88 ]

E11.413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|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 * Y1^22 ]
Map::
	R = (1, 45, 2, 46, 5, 49, 9, 53, 13, 57, 17, 61, 21, 65, 25, 69, 29, 73, 33, 77, 37, 81, 41, 85, 43, 87, 39, 83, 35, 79, 31, 75, 27, 71, 23, 67, 19, 63, 15, 59, 11, 55, 7, 51, 3, 47, 6, 50, 10, 54, 14, 58, 18, 62, 22, 66, 26, 70, 30, 74, 34, 78, 38, 82, 42, 86, 44, 88, 40, 84, 36, 80, 32, 76, 28, 72, 24, 68, 20, 64, 16, 60, 12, 56, 8, 52, 4, 48)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 94)(3, 89)(4, 95)(5, 98)(6, 90)(7, 92)(8, 99)(9, 102)(10, 93)(11, 96)(12, 103)(13, 106)(14, 97)(15, 100)(16, 107)(17, 110)(18, 101)(19, 104)(20, 111)(21, 114)(22, 105)(23, 108)(24, 115)(25, 118)(26, 109)(27, 112)(28, 119)(29, 122)(30, 113)(31, 116)(32, 123)(33, 126)(34, 117)(35, 120)(36, 127)(37, 130)(38, 121)(39, 124)(40, 131)(41, 132)(42, 125)(43, 128)(44, 129)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4, 88 ), ( 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88 ) }
Outer automorphisms :: reflexible
Dual of E11.412
Graph:: bipartite
	v = 45 e = 88 f = 23
	degree seq :: [ 2^44, 88 ]

E11.414 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 23, 46})
Quotient :: regular
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-23 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 43, 39, 35, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 45)
	local type(s) :: { ( 23^46 ) }
Outer automorphisms :: reflexible
Dual of E11.415
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 23 f = 2
	degree seq :: [ 46 ]

E11.415 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 23, 46})
Quotient :: regular
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^23 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 45, 46, 43, 39, 35, 31, 27, 23, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 45)(44, 46)
	local type(s) :: { ( 46^23 ) }
Outer automorphisms :: reflexible
Dual of E11.414
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 23 f = 1
	degree seq :: [ 23^2 ]

E11.416 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 23, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^23 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 46, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6)(47, 48)(49, 51)(50, 52)(53, 55)(54, 56)(57, 59)(58, 60)(61, 63)(62, 64)(65, 67)(66, 68)(69, 71)(70, 72)(73, 75)(74, 76)(77, 79)(78, 80)(81, 83)(82, 84)(85, 87)(86, 88)(89, 91)(90, 92)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92, 92 ), ( 92^23 ) }
Outer automorphisms :: reflexible
Dual of E11.420
Transitivity :: ET+
Graph:: simple bipartite
	v = 25 e = 46 f = 1
	degree seq :: [ 2^23, 23^2 ]

E11.417 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 23, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^21, T2^-2 * T1^9 * T2^-12 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 43, 40, 35, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 44, 39, 36, 31, 28, 23, 20, 15, 12, 6, 5)(47, 48, 52, 57, 61, 65, 69, 73, 77, 81, 85, 89, 92, 87, 84, 79, 76, 71, 68, 63, 60, 55, 50)(49, 53, 51, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 91, 88, 83, 80, 75, 72, 67, 64, 59, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 4^23 ), ( 4^46 ) }
Outer automorphisms :: reflexible
Dual of E11.421
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 23
	degree seq :: [ 23^2, 46 ]

E11.418 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 23, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-23 ]
Map::
	R = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 45)(47, 48, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 89, 85, 81, 77, 73, 69, 65, 61, 57, 53, 49, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 90, 86, 82, 78, 74, 70, 66, 62, 58, 54, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46, 46 ), ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E11.419
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 46 f = 2
	degree seq :: [ 2^23, 46 ]

E11.419 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 23, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^23 ]
Map::
	R = (1, 47, 3, 49, 7, 53, 11, 57, 15, 61, 19, 65, 23, 69, 27, 73, 31, 77, 35, 81, 39, 85, 43, 89, 44, 90, 40, 86, 36, 82, 32, 78, 28, 74, 24, 70, 20, 66, 16, 62, 12, 58, 8, 54, 4, 50)(2, 48, 5, 51, 9, 55, 13, 59, 17, 63, 21, 67, 25, 71, 29, 75, 33, 79, 37, 83, 41, 87, 45, 91, 46, 92, 42, 88, 38, 84, 34, 80, 30, 76, 26, 72, 22, 68, 18, 64, 14, 60, 10, 56, 6, 52)
	L = (1, 48)(2, 47)(3, 51)(4, 52)(5, 49)(6, 50)(7, 55)(8, 56)(9, 53)(10, 54)(11, 59)(12, 60)(13, 57)(14, 58)(15, 63)(16, 64)(17, 61)(18, 62)(19, 67)(20, 68)(21, 65)(22, 66)(23, 71)(24, 72)(25, 69)(26, 70)(27, 75)(28, 76)(29, 73)(30, 74)(31, 79)(32, 80)(33, 77)(34, 78)(35, 83)(36, 84)(37, 81)(38, 82)(39, 87)(40, 88)(41, 85)(42, 86)(43, 91)(44, 92)(45, 89)(46, 90)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.418
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 24
	degree seq :: [ 46^2 ]

E11.420 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 23, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^21, T2^-2 * T1^9 * T2^-12 ]
Map::
	R = (1, 47, 3, 49, 9, 55, 13, 59, 17, 63, 21, 67, 25, 71, 29, 75, 33, 79, 37, 83, 41, 87, 45, 91, 43, 89, 40, 86, 35, 81, 32, 78, 27, 73, 24, 70, 19, 65, 16, 62, 11, 57, 8, 54, 2, 48, 7, 53, 4, 50, 10, 56, 14, 60, 18, 64, 22, 68, 26, 72, 30, 76, 34, 80, 38, 84, 42, 88, 46, 92, 44, 90, 39, 85, 36, 82, 31, 77, 28, 74, 23, 69, 20, 66, 15, 61, 12, 58, 6, 52, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 57)(7, 51)(8, 58)(9, 50)(10, 49)(11, 61)(12, 62)(13, 56)(14, 55)(15, 65)(16, 66)(17, 60)(18, 59)(19, 69)(20, 70)(21, 64)(22, 63)(23, 73)(24, 74)(25, 68)(26, 67)(27, 77)(28, 78)(29, 72)(30, 71)(31, 81)(32, 82)(33, 76)(34, 75)(35, 85)(36, 86)(37, 80)(38, 79)(39, 89)(40, 90)(41, 84)(42, 83)(43, 92)(44, 91)(45, 88)(46, 87)
	local type(s) :: { ( 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23, 2, 23 ) }
Outer automorphisms :: reflexible
Dual of E11.416
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 25
	degree seq :: [ 92 ]

E11.421 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 23, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-23 ]
Map:: non-degenerate
	R = (1, 47, 3, 49)(2, 48, 6, 52)(4, 50, 7, 53)(5, 51, 10, 56)(8, 54, 11, 57)(9, 55, 14, 60)(12, 58, 15, 61)(13, 59, 18, 64)(16, 62, 19, 65)(17, 63, 22, 68)(20, 66, 23, 69)(21, 67, 26, 72)(24, 70, 27, 73)(25, 71, 30, 76)(28, 74, 31, 77)(29, 75, 34, 80)(32, 78, 35, 81)(33, 79, 38, 84)(36, 82, 39, 85)(37, 83, 42, 88)(40, 86, 43, 89)(41, 87, 46, 92)(44, 90, 45, 91)
	L = (1, 48)(2, 51)(3, 52)(4, 47)(5, 55)(6, 56)(7, 49)(8, 50)(9, 59)(10, 60)(11, 53)(12, 54)(13, 63)(14, 64)(15, 57)(16, 58)(17, 67)(18, 68)(19, 61)(20, 62)(21, 71)(22, 72)(23, 65)(24, 66)(25, 75)(26, 76)(27, 69)(28, 70)(29, 79)(30, 80)(31, 73)(32, 74)(33, 83)(34, 84)(35, 77)(36, 78)(37, 87)(38, 88)(39, 81)(40, 82)(41, 91)(42, 92)(43, 85)(44, 86)(45, 89)(46, 90)
	local type(s) :: { ( 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.417
Transitivity :: ET+ VT+ AT
Graph::
	v = 23 e = 46 f = 3
	degree seq :: [ 4^23 ]

E11.422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 23, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 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, Y2^23, (Y3 * Y2^-1)^46 ]
Map::
	R = (1, 47, 2, 48)(3, 49, 5, 51)(4, 50, 6, 52)(7, 53, 9, 55)(8, 54, 10, 56)(11, 57, 13, 59)(12, 58, 14, 60)(15, 61, 17, 63)(16, 62, 18, 64)(19, 65, 21, 67)(20, 66, 22, 68)(23, 69, 25, 71)(24, 70, 26, 72)(27, 73, 29, 75)(28, 74, 30, 76)(31, 77, 33, 79)(32, 78, 34, 80)(35, 81, 37, 83)(36, 82, 38, 84)(39, 85, 41, 87)(40, 86, 42, 88)(43, 89, 45, 91)(44, 90, 46, 92)(93, 139, 95, 141, 99, 145, 103, 149, 107, 153, 111, 157, 115, 161, 119, 165, 123, 169, 127, 173, 131, 177, 135, 181, 136, 182, 132, 178, 128, 174, 124, 170, 120, 166, 116, 162, 112, 158, 108, 154, 104, 150, 100, 146, 96, 142)(94, 140, 97, 143, 101, 147, 105, 151, 109, 155, 113, 159, 117, 163, 121, 167, 125, 171, 129, 175, 133, 179, 137, 183, 138, 184, 134, 180, 130, 176, 126, 172, 122, 168, 118, 164, 114, 160, 110, 156, 106, 152, 102, 148, 98, 144)
	L = (1, 94)(2, 93)(3, 97)(4, 98)(5, 95)(6, 96)(7, 101)(8, 102)(9, 99)(10, 100)(11, 105)(12, 106)(13, 103)(14, 104)(15, 109)(16, 110)(17, 107)(18, 108)(19, 113)(20, 114)(21, 111)(22, 112)(23, 117)(24, 118)(25, 115)(26, 116)(27, 121)(28, 122)(29, 119)(30, 120)(31, 125)(32, 126)(33, 123)(34, 124)(35, 129)(36, 130)(37, 127)(38, 128)(39, 133)(40, 134)(41, 131)(42, 132)(43, 137)(44, 138)(45, 135)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E11.425
Graph:: bipartite
	v = 25 e = 92 f = 47
	degree seq :: [ 4^23, 46^2 ]

E11.423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 23, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^10 * Y2^10, Y1^9 * Y2^-1 * Y1 * Y2^-11 * Y1, Y1^23, Y2^60 * Y1^-9 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 11, 57, 15, 61, 19, 65, 23, 69, 27, 73, 31, 77, 35, 81, 39, 85, 43, 89, 46, 92, 41, 87, 38, 84, 33, 79, 30, 76, 25, 71, 22, 68, 17, 63, 14, 60, 9, 55, 4, 50)(3, 49, 7, 53, 5, 51, 8, 54, 12, 58, 16, 62, 20, 66, 24, 70, 28, 74, 32, 78, 36, 82, 40, 86, 44, 90, 45, 91, 42, 88, 37, 83, 34, 80, 29, 75, 26, 72, 21, 67, 18, 64, 13, 59, 10, 56)(93, 139, 95, 141, 101, 147, 105, 151, 109, 155, 113, 159, 117, 163, 121, 167, 125, 171, 129, 175, 133, 179, 137, 183, 135, 181, 132, 178, 127, 173, 124, 170, 119, 165, 116, 162, 111, 157, 108, 154, 103, 149, 100, 146, 94, 140, 99, 145, 96, 142, 102, 148, 106, 152, 110, 156, 114, 160, 118, 164, 122, 168, 126, 172, 130, 176, 134, 180, 138, 184, 136, 182, 131, 177, 128, 174, 123, 169, 120, 166, 115, 161, 112, 158, 107, 153, 104, 150, 98, 144, 97, 143)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 97)(7, 96)(8, 94)(9, 105)(10, 106)(11, 100)(12, 98)(13, 109)(14, 110)(15, 104)(16, 103)(17, 113)(18, 114)(19, 108)(20, 107)(21, 117)(22, 118)(23, 112)(24, 111)(25, 121)(26, 122)(27, 116)(28, 115)(29, 125)(30, 126)(31, 120)(32, 119)(33, 129)(34, 130)(35, 124)(36, 123)(37, 133)(38, 134)(39, 128)(40, 127)(41, 137)(42, 138)(43, 132)(44, 131)(45, 135)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E11.424
Graph:: bipartite
	v = 3 e = 92 f = 69
	degree seq :: [ 46^2, 92 ]

E11.424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 23, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^23 * Y2, (Y3^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140)(95, 141, 97, 143)(96, 142, 98, 144)(99, 145, 101, 147)(100, 146, 102, 148)(103, 149, 105, 151)(104, 150, 106, 152)(107, 153, 109, 155)(108, 154, 110, 156)(111, 157, 113, 159)(112, 158, 114, 160)(115, 161, 117, 163)(116, 162, 118, 164)(119, 165, 121, 167)(120, 166, 122, 168)(123, 169, 125, 171)(124, 170, 126, 172)(127, 173, 129, 175)(128, 174, 130, 176)(131, 177, 133, 179)(132, 178, 134, 180)(135, 181, 137, 183)(136, 182, 138, 184)
	L = (1, 95)(2, 97)(3, 99)(4, 93)(5, 101)(6, 94)(7, 103)(8, 96)(9, 105)(10, 98)(11, 107)(12, 100)(13, 109)(14, 102)(15, 111)(16, 104)(17, 113)(18, 106)(19, 115)(20, 108)(21, 117)(22, 110)(23, 119)(24, 112)(25, 121)(26, 114)(27, 123)(28, 116)(29, 125)(30, 118)(31, 127)(32, 120)(33, 129)(34, 122)(35, 131)(36, 124)(37, 133)(38, 126)(39, 135)(40, 128)(41, 137)(42, 130)(43, 138)(44, 132)(45, 136)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E11.423
Graph:: simple bipartite
	v = 69 e = 92 f = 3
	degree seq :: [ 2^46, 4^23 ]

E11.425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 23, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 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^-23 ]
Map::
	R = (1, 47, 2, 48, 5, 51, 9, 55, 13, 59, 17, 63, 21, 67, 25, 71, 29, 75, 33, 79, 37, 83, 41, 87, 45, 91, 43, 89, 39, 85, 35, 81, 31, 77, 27, 73, 23, 69, 19, 65, 15, 61, 11, 57, 7, 53, 3, 49, 6, 52, 10, 56, 14, 60, 18, 64, 22, 68, 26, 72, 30, 76, 34, 80, 38, 84, 42, 88, 46, 92, 44, 90, 40, 86, 36, 82, 32, 78, 28, 74, 24, 70, 20, 66, 16, 62, 12, 58, 8, 54, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 98)(3, 93)(4, 99)(5, 102)(6, 94)(7, 96)(8, 103)(9, 106)(10, 97)(11, 100)(12, 107)(13, 110)(14, 101)(15, 104)(16, 111)(17, 114)(18, 105)(19, 108)(20, 115)(21, 118)(22, 109)(23, 112)(24, 119)(25, 122)(26, 113)(27, 116)(28, 123)(29, 126)(30, 117)(31, 120)(32, 127)(33, 130)(34, 121)(35, 124)(36, 131)(37, 134)(38, 125)(39, 128)(40, 135)(41, 138)(42, 129)(43, 132)(44, 137)(45, 136)(46, 133)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.422
Graph:: bipartite
	v = 47 e = 92 f = 25
	degree seq :: [ 2^46, 92 ]

E11.426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 23, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 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, Y2^23 * Y1, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 47, 2, 48)(3, 49, 5, 51)(4, 50, 6, 52)(7, 53, 9, 55)(8, 54, 10, 56)(11, 57, 13, 59)(12, 58, 14, 60)(15, 61, 17, 63)(16, 62, 18, 64)(19, 65, 21, 67)(20, 66, 22, 68)(23, 69, 25, 71)(24, 70, 26, 72)(27, 73, 29, 75)(28, 74, 30, 76)(31, 77, 33, 79)(32, 78, 34, 80)(35, 81, 37, 83)(36, 82, 38, 84)(39, 85, 41, 87)(40, 86, 42, 88)(43, 89, 45, 91)(44, 90, 46, 92)(93, 139, 95, 141, 99, 145, 103, 149, 107, 153, 111, 157, 115, 161, 119, 165, 123, 169, 127, 173, 131, 177, 135, 181, 138, 184, 134, 180, 130, 176, 126, 172, 122, 168, 118, 164, 114, 160, 110, 156, 106, 152, 102, 148, 98, 144, 94, 140, 97, 143, 101, 147, 105, 151, 109, 155, 113, 159, 117, 163, 121, 167, 125, 171, 129, 175, 133, 179, 137, 183, 136, 182, 132, 178, 128, 174, 124, 170, 120, 166, 116, 162, 112, 158, 108, 154, 104, 150, 100, 146, 96, 142)
	L = (1, 94)(2, 93)(3, 97)(4, 98)(5, 95)(6, 96)(7, 101)(8, 102)(9, 99)(10, 100)(11, 105)(12, 106)(13, 103)(14, 104)(15, 109)(16, 110)(17, 107)(18, 108)(19, 113)(20, 114)(21, 111)(22, 112)(23, 117)(24, 118)(25, 115)(26, 116)(27, 121)(28, 122)(29, 119)(30, 120)(31, 125)(32, 126)(33, 123)(34, 124)(35, 129)(36, 130)(37, 127)(38, 128)(39, 133)(40, 134)(41, 131)(42, 132)(43, 137)(44, 138)(45, 135)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46 ), ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E11.427
Graph:: bipartite
	v = 24 e = 92 f = 48
	degree seq :: [ 4^23, 92 ]

E11.427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 23, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 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, Y1^9 * Y3^10 * Y1, Y1^-1 * Y3^22, Y1^23, (Y3 * Y2^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 11, 57, 15, 61, 19, 65, 23, 69, 27, 73, 31, 77, 35, 81, 39, 85, 43, 89, 46, 92, 41, 87, 38, 84, 33, 79, 30, 76, 25, 71, 22, 68, 17, 63, 14, 60, 9, 55, 4, 50)(3, 49, 7, 53, 5, 51, 8, 54, 12, 58, 16, 62, 20, 66, 24, 70, 28, 74, 32, 78, 36, 82, 40, 86, 44, 90, 45, 91, 42, 88, 37, 83, 34, 80, 29, 75, 26, 72, 21, 67, 18, 64, 13, 59, 10, 56)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 97)(7, 96)(8, 94)(9, 105)(10, 106)(11, 100)(12, 98)(13, 109)(14, 110)(15, 104)(16, 103)(17, 113)(18, 114)(19, 108)(20, 107)(21, 117)(22, 118)(23, 112)(24, 111)(25, 121)(26, 122)(27, 116)(28, 115)(29, 125)(30, 126)(31, 120)(32, 119)(33, 129)(34, 130)(35, 124)(36, 123)(37, 133)(38, 134)(39, 128)(40, 127)(41, 137)(42, 138)(43, 132)(44, 131)(45, 135)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 92 ), ( 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92 ) }
Outer automorphisms :: reflexible
Dual of E11.426
Graph:: simple bipartite
	v = 48 e = 92 f = 24
	degree seq :: [ 2^46, 46^2 ]

E11.428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
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, Y3^3, (Y3^-1 * Y1)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, (Y1 * Y2 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 26, 74)(12, 60, 32, 80)(13, 61, 25, 73)(14, 62, 28, 76)(15, 63, 23, 71)(17, 65, 39, 87)(18, 66, 24, 72)(19, 67, 31, 79)(20, 68, 43, 91)(22, 70, 37, 85)(27, 75, 33, 81)(29, 77, 41, 89)(30, 78, 42, 90)(34, 82, 46, 94)(35, 83, 38, 86)(36, 84, 44, 92)(40, 88, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 111, 159)(102, 150, 115, 163, 116, 164)(104, 152, 120, 168, 121, 169)(106, 154, 125, 173, 126, 174)(107, 155, 127, 175, 124, 172)(108, 156, 129, 177, 130, 178)(109, 157, 131, 179, 132, 180)(112, 160, 134, 182, 123, 171)(113, 161, 122, 170, 136, 184)(114, 162, 117, 165, 137, 185)(118, 166, 135, 183, 140, 188)(119, 167, 141, 189, 142, 190)(128, 176, 139, 187, 143, 191)(133, 181, 138, 186, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 113)(6, 97)(7, 118)(8, 106)(9, 123)(10, 98)(11, 121)(12, 109)(13, 99)(14, 129)(15, 133)(16, 120)(17, 114)(18, 101)(19, 130)(20, 132)(21, 111)(22, 119)(23, 103)(24, 135)(25, 128)(26, 110)(27, 124)(28, 105)(29, 140)(30, 142)(31, 126)(32, 107)(33, 122)(34, 138)(35, 136)(36, 137)(37, 117)(38, 143)(39, 112)(40, 144)(41, 116)(42, 115)(43, 125)(44, 139)(45, 134)(46, 127)(47, 141)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.430
Graph:: simple bipartite
	v = 40 e = 96 f = 36
	degree seq :: [ 4^24, 6^16 ]

E11.429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
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 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2, R * Y2 * Y3 * R * Y2^-1, Y3^2 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2^-1)^3, Y3^6 ]
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, 12, 60)(9, 57, 21, 69)(13, 61, 26, 74)(14, 62, 28, 76)(15, 63, 30, 78)(16, 64, 23, 71)(18, 66, 31, 79)(19, 67, 24, 72)(20, 68, 41, 89)(22, 70, 25, 73)(27, 75, 33, 81)(29, 77, 37, 85)(32, 80, 35, 83)(34, 82, 43, 91)(36, 84, 47, 95)(38, 86, 45, 93)(39, 87, 48, 96)(40, 88, 44, 92)(42, 90, 46, 94)(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, 120, 168, 122, 170)(106, 154, 125, 173, 113, 161)(107, 155, 127, 175, 128, 176)(108, 156, 129, 177, 130, 178)(109, 157, 118, 166, 131, 179)(111, 159, 114, 162, 135, 183)(115, 163, 132, 180, 133, 181)(119, 167, 126, 174, 139, 187)(121, 169, 123, 171, 142, 190)(124, 172, 140, 188, 137, 185)(134, 182, 136, 184, 138, 186)(141, 189, 143, 191, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 114)(6, 97)(7, 107)(8, 121)(9, 123)(10, 98)(11, 122)(12, 112)(13, 99)(14, 133)(15, 134)(16, 136)(17, 120)(18, 130)(19, 101)(20, 115)(21, 110)(22, 102)(23, 103)(24, 137)(25, 141)(26, 143)(27, 128)(28, 105)(29, 124)(30, 106)(31, 113)(32, 144)(33, 117)(34, 138)(35, 129)(36, 109)(37, 135)(38, 118)(39, 131)(40, 132)(41, 142)(42, 116)(43, 127)(44, 119)(45, 126)(46, 139)(47, 140)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.431
Graph:: simple bipartite
	v = 40 e = 96 f = 36
	degree seq :: [ 4^24, 6^16 ]

E11.430 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y3 * Y2)^2, (Y3 * Y2)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^2 * Y2, Y3^-1 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^3, (Y2 * Y1^-2)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 22, 70, 13, 61)(4, 52, 15, 63, 23, 71, 16, 64)(6, 54, 20, 68, 24, 72, 21, 69)(8, 56, 25, 73, 17, 65, 27, 75)(9, 57, 29, 77, 18, 66, 30, 78)(10, 58, 31, 79, 19, 67, 32, 80)(12, 60, 36, 84, 47, 95, 37, 85)(14, 62, 41, 89, 48, 96, 28, 76)(26, 74, 39, 87, 46, 94, 34, 82)(33, 81, 43, 91, 38, 86, 45, 93)(35, 83, 44, 92, 40, 88, 42, 90)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 118, 166)(105, 153, 124, 172)(106, 154, 122, 170)(107, 155, 129, 177)(109, 157, 134, 182)(111, 159, 138, 186)(112, 160, 140, 188)(114, 162, 137, 185)(115, 163, 142, 190)(116, 164, 135, 183)(117, 165, 130, 178)(119, 167, 144, 192)(120, 168, 143, 191)(121, 169, 141, 189)(123, 171, 139, 187)(125, 173, 131, 179)(126, 174, 136, 184)(127, 175, 133, 181)(128, 176, 132, 180)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 114)(6, 97)(7, 119)(8, 122)(9, 106)(10, 98)(11, 130)(12, 110)(13, 135)(14, 99)(15, 127)(16, 128)(17, 142)(18, 115)(19, 101)(20, 134)(21, 129)(22, 143)(23, 120)(24, 103)(25, 132)(26, 124)(27, 133)(28, 104)(29, 117)(30, 116)(31, 139)(32, 141)(33, 125)(34, 131)(35, 107)(36, 140)(37, 138)(38, 126)(39, 136)(40, 109)(41, 113)(42, 123)(43, 111)(44, 121)(45, 112)(46, 137)(47, 144)(48, 118)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.428
Graph:: simple bipartite
	v = 36 e = 96 f = 40
	degree seq :: [ 4^24, 8^12 ]

E11.431 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, Y1^-2 * Y3^-3, (Y1 * Y3 * Y2)^2, (Y3 * Y2 * Y1^-1)^2, (Y2 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 24, 72, 13, 61)(4, 52, 15, 63, 23, 71, 17, 65)(6, 54, 21, 69, 16, 64, 22, 70)(8, 56, 25, 73, 18, 66, 27, 75)(9, 57, 29, 77, 19, 67, 30, 78)(10, 58, 31, 79, 20, 68, 32, 80)(12, 60, 36, 84, 43, 91, 38, 86)(14, 62, 42, 90, 37, 85, 28, 76)(26, 74, 34, 82, 48, 96, 40, 88)(33, 81, 47, 95, 39, 87, 45, 93)(35, 83, 44, 92, 41, 89, 46, 94)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 114, 162)(102, 150, 108, 156)(103, 151, 120, 168)(105, 153, 124, 172)(106, 154, 122, 170)(107, 155, 129, 177)(109, 157, 135, 183)(111, 159, 140, 188)(112, 160, 139, 187)(113, 161, 142, 190)(115, 163, 138, 186)(116, 164, 144, 192)(117, 165, 136, 184)(118, 166, 130, 178)(119, 167, 133, 181)(121, 169, 141, 189)(123, 171, 143, 191)(125, 173, 137, 185)(126, 174, 131, 179)(127, 175, 132, 180)(128, 176, 134, 182)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 115)(6, 97)(7, 119)(8, 122)(9, 116)(10, 98)(11, 130)(12, 133)(13, 136)(14, 99)(15, 127)(16, 103)(17, 128)(18, 144)(19, 106)(20, 101)(21, 135)(22, 129)(23, 102)(24, 139)(25, 134)(26, 138)(27, 132)(28, 104)(29, 118)(30, 117)(31, 143)(32, 141)(33, 126)(34, 137)(35, 107)(36, 140)(37, 120)(38, 142)(39, 125)(40, 131)(41, 109)(42, 114)(43, 110)(44, 121)(45, 111)(46, 123)(47, 113)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.429
Graph:: simple bipartite
	v = 36 e = 96 f = 40
	degree seq :: [ 4^24, 8^12 ]

E11.432 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y2, Y3^-3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^2, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 12, 60)(7, 55, 15, 63)(8, 56, 16, 64)(9, 57, 17, 65)(10, 58, 18, 66)(13, 61, 23, 71)(14, 62, 24, 72)(19, 67, 28, 76)(20, 68, 33, 81)(21, 69, 34, 82)(22, 70, 25, 73)(26, 74, 39, 87)(27, 75, 40, 88)(29, 77, 38, 86)(30, 78, 41, 89)(31, 79, 42, 90)(32, 80, 35, 83)(36, 84, 44, 92)(37, 85, 45, 93)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 109, 157)(104, 152, 110, 158)(107, 155, 113, 161)(108, 156, 114, 162)(111, 159, 119, 167)(112, 160, 120, 168)(115, 163, 125, 173)(116, 164, 126, 174)(117, 165, 127, 175)(118, 166, 128, 176)(121, 169, 131, 179)(122, 170, 132, 180)(123, 171, 133, 181)(124, 172, 134, 182)(129, 177, 137, 185)(130, 178, 138, 186)(135, 183, 140, 188)(136, 184, 141, 189)(139, 187, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 106)(5, 97)(6, 109)(7, 110)(8, 98)(9, 101)(10, 99)(11, 115)(12, 117)(13, 104)(14, 102)(15, 121)(16, 123)(17, 125)(18, 127)(19, 126)(20, 107)(21, 128)(22, 108)(23, 131)(24, 133)(25, 132)(26, 111)(27, 134)(28, 112)(29, 116)(30, 113)(31, 118)(32, 114)(33, 139)(34, 137)(35, 122)(36, 119)(37, 124)(38, 120)(39, 142)(40, 140)(41, 143)(42, 129)(43, 130)(44, 144)(45, 135)(46, 136)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.446
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.433 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y2 * Y3^-1 * Y1, Y3^6, Y3^-1 * Y1 * Y2 * Y3^2 * Y1, (Y3 * Y1 * Y2)^2, (Y3 * Y2)^3, (Y3^-3 * Y2)^2, (Y2 * Y1 * Y2 * Y3^-1)^2, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 15, 63)(6, 54, 18, 66)(7, 55, 21, 69)(8, 56, 24, 72)(10, 58, 25, 73)(11, 59, 26, 74)(13, 61, 23, 71)(14, 62, 22, 70)(16, 64, 19, 67)(17, 65, 20, 68)(27, 75, 37, 85)(28, 76, 47, 95)(29, 77, 40, 88)(30, 78, 39, 87)(31, 79, 43, 91)(32, 80, 45, 93)(33, 81, 41, 89)(34, 82, 44, 92)(35, 83, 42, 90)(36, 84, 46, 94)(38, 86, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 109, 157)(101, 149, 112, 160)(103, 151, 118, 166)(104, 152, 121, 169)(105, 153, 123, 171)(106, 154, 125, 173)(107, 155, 126, 174)(108, 156, 124, 172)(110, 158, 129, 177)(111, 159, 122, 170)(113, 161, 120, 168)(114, 162, 133, 181)(115, 163, 135, 183)(116, 164, 136, 184)(117, 165, 134, 182)(119, 167, 139, 187)(127, 175, 143, 191)(128, 176, 140, 188)(130, 178, 138, 186)(131, 179, 142, 190)(132, 180, 141, 189)(137, 185, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 110)(5, 97)(6, 115)(7, 119)(8, 98)(9, 118)(10, 117)(11, 99)(12, 128)(13, 126)(14, 130)(15, 124)(16, 132)(17, 101)(18, 109)(19, 108)(20, 102)(21, 138)(22, 136)(23, 140)(24, 134)(25, 142)(26, 104)(27, 135)(28, 105)(29, 112)(30, 141)(31, 107)(32, 137)(33, 133)(34, 113)(35, 111)(36, 143)(37, 125)(38, 114)(39, 121)(40, 131)(41, 116)(42, 127)(43, 123)(44, 122)(45, 120)(46, 144)(47, 129)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.447
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y2^-1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 13, 61)(10, 58, 14, 62)(11, 59, 15, 63)(12, 60, 16, 64)(17, 65, 23, 71)(18, 66, 24, 72)(19, 67, 25, 73)(20, 68, 26, 74)(21, 69, 27, 75)(22, 70, 28, 76)(29, 77, 35, 83)(30, 78, 36, 84)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(41, 89, 44, 92)(42, 90, 45, 93)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 106, 154, 107, 155)(103, 151, 110, 158, 111, 159)(105, 153, 113, 161, 114, 162)(108, 156, 117, 165, 118, 166)(109, 157, 119, 167, 120, 168)(112, 160, 123, 171, 124, 172)(115, 163, 127, 175, 128, 176)(116, 164, 129, 177, 125, 173)(121, 169, 133, 181, 134, 182)(122, 170, 135, 183, 131, 179)(126, 174, 137, 185, 130, 178)(132, 180, 140, 188, 136, 184)(138, 186, 143, 191, 139, 187)(141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 103)(3, 105)(4, 97)(5, 108)(6, 109)(7, 98)(8, 112)(9, 99)(10, 115)(11, 116)(12, 101)(13, 102)(14, 121)(15, 122)(16, 104)(17, 125)(18, 126)(19, 106)(20, 107)(21, 130)(22, 127)(23, 131)(24, 132)(25, 110)(26, 111)(27, 136)(28, 133)(29, 113)(30, 114)(31, 118)(32, 138)(33, 139)(34, 117)(35, 119)(36, 120)(37, 124)(38, 141)(39, 142)(40, 123)(41, 143)(42, 128)(43, 129)(44, 144)(45, 134)(46, 135)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.442
Graph:: simple bipartite
	v = 40 e = 96 f = 36
	degree seq :: [ 4^24, 6^16 ]

E11.435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y1 * Y2 * Y1 * Y2^-1)^2, (Y2 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 18, 66)(11, 59, 20, 68)(12, 60, 16, 64)(14, 62, 17, 65)(21, 69, 37, 85)(22, 70, 30, 78)(23, 71, 31, 79)(24, 72, 38, 86)(25, 73, 33, 81)(26, 74, 39, 87)(27, 75, 40, 88)(28, 76, 36, 84)(29, 77, 41, 89)(32, 80, 42, 90)(34, 82, 43, 91)(35, 83, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 107, 155, 108, 156)(103, 151, 113, 161, 114, 162)(105, 153, 117, 165, 118, 166)(106, 154, 119, 167, 120, 168)(109, 157, 121, 169, 122, 170)(110, 158, 123, 171, 124, 172)(111, 159, 125, 173, 126, 174)(112, 160, 127, 175, 128, 176)(115, 163, 129, 177, 130, 178)(116, 164, 131, 179, 132, 180)(133, 181, 141, 189, 135, 183)(134, 182, 136, 184, 142, 190)(137, 185, 143, 191, 139, 187)(138, 186, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 110)(6, 112)(7, 98)(8, 116)(9, 114)(10, 99)(11, 115)(12, 111)(13, 113)(14, 101)(15, 108)(16, 102)(17, 109)(18, 105)(19, 107)(20, 104)(21, 134)(22, 127)(23, 126)(24, 133)(25, 132)(26, 136)(27, 135)(28, 129)(29, 138)(30, 119)(31, 118)(32, 137)(33, 124)(34, 140)(35, 139)(36, 121)(37, 120)(38, 117)(39, 123)(40, 122)(41, 128)(42, 125)(43, 131)(44, 130)(45, 144)(46, 143)(47, 142)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.443
Graph:: simple bipartite
	v = 40 e = 96 f = 36
	degree seq :: [ 4^24, 6^16 ]

E11.436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y3)^4, Y2 * Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 8, 56)(4, 52, 7, 55)(5, 53, 6, 54)(9, 57, 16, 64)(10, 58, 15, 63)(11, 59, 14, 62)(12, 60, 13, 61)(17, 65, 28, 76)(18, 66, 27, 75)(19, 67, 26, 74)(20, 68, 25, 73)(21, 69, 24, 72)(22, 70, 23, 71)(29, 77, 37, 85)(30, 78, 40, 88)(31, 79, 35, 83)(32, 80, 39, 87)(33, 81, 38, 86)(34, 82, 36, 84)(41, 89, 44, 92)(42, 90, 46, 94)(43, 91, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 106, 154, 107, 155)(103, 151, 110, 158, 111, 159)(105, 153, 113, 161, 114, 162)(108, 156, 117, 165, 118, 166)(109, 157, 119, 167, 120, 168)(112, 160, 123, 171, 124, 172)(115, 163, 127, 175, 128, 176)(116, 164, 129, 177, 125, 173)(121, 169, 133, 181, 134, 182)(122, 170, 135, 183, 131, 179)(126, 174, 137, 185, 130, 178)(132, 180, 140, 188, 136, 184)(138, 186, 143, 191, 139, 187)(141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 103)(3, 105)(4, 97)(5, 108)(6, 109)(7, 98)(8, 112)(9, 99)(10, 115)(11, 116)(12, 101)(13, 102)(14, 121)(15, 122)(16, 104)(17, 125)(18, 126)(19, 106)(20, 107)(21, 130)(22, 127)(23, 131)(24, 132)(25, 110)(26, 111)(27, 136)(28, 133)(29, 113)(30, 114)(31, 118)(32, 138)(33, 139)(34, 117)(35, 119)(36, 120)(37, 124)(38, 141)(39, 142)(40, 123)(41, 143)(42, 128)(43, 129)(44, 144)(45, 134)(46, 135)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.441
Graph:: simple bipartite
	v = 40 e = 96 f = 36
	degree seq :: [ 4^24, 6^16 ]

E11.437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, (R * Y2 * Y3)^2, (Y2 * Y3 * Y2 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 17, 65)(11, 59, 16, 64)(12, 60, 20, 68)(14, 62, 18, 66)(21, 69, 34, 82)(22, 70, 37, 85)(23, 71, 36, 84)(24, 72, 38, 86)(25, 73, 39, 87)(26, 74, 29, 77)(27, 75, 40, 88)(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, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 107, 155, 108, 156)(103, 151, 113, 161, 114, 162)(105, 153, 117, 165, 118, 166)(106, 154, 119, 167, 120, 168)(109, 157, 121, 169, 122, 170)(110, 158, 123, 171, 124, 172)(111, 159, 125, 173, 126, 174)(112, 160, 127, 175, 128, 176)(115, 163, 129, 177, 130, 178)(116, 164, 131, 179, 132, 180)(133, 181, 141, 189, 135, 183)(134, 182, 142, 190, 136, 184)(137, 185, 143, 191, 139, 187)(138, 186, 144, 192, 140, 188)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 110)(6, 112)(7, 98)(8, 116)(9, 113)(10, 99)(11, 111)(12, 115)(13, 114)(14, 101)(15, 107)(16, 102)(17, 105)(18, 109)(19, 108)(20, 104)(21, 132)(22, 134)(23, 130)(24, 133)(25, 136)(26, 127)(27, 135)(28, 125)(29, 124)(30, 138)(31, 122)(32, 137)(33, 140)(34, 119)(35, 139)(36, 117)(37, 120)(38, 118)(39, 123)(40, 121)(41, 128)(42, 126)(43, 131)(44, 129)(45, 144)(46, 143)(47, 142)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.440
Graph:: simple bipartite
	v = 40 e = 96 f = 36
	degree seq :: [ 4^24, 6^16 ]

E11.438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (Y1 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, R * Y3 * Y1 * R * Y3^-1 * Y1, Y3^-2 * Y1 * Y2^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3 * Y1)^2, R * Y1 * Y2^-1 * Y1 * Y2^-1 * R * Y2^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 22, 70)(14, 62, 32, 80)(15, 63, 24, 72)(16, 64, 25, 73)(18, 66, 28, 76)(19, 67, 27, 75)(23, 71, 40, 88)(29, 77, 33, 81)(30, 78, 38, 86)(31, 79, 43, 91)(34, 82, 42, 90)(35, 83, 36, 84)(37, 85, 41, 89)(39, 87, 47, 95)(44, 92, 48, 96)(45, 93, 46, 94)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 112, 160)(102, 150, 115, 163, 108, 156)(104, 152, 119, 167, 121, 169)(106, 154, 124, 172, 117, 165)(107, 155, 125, 173, 126, 174)(109, 157, 127, 175, 114, 162)(111, 159, 130, 178, 122, 170)(113, 161, 120, 168, 132, 180)(116, 164, 133, 181, 134, 182)(118, 166, 135, 183, 123, 171)(128, 176, 141, 189, 139, 187)(129, 177, 140, 188, 131, 179)(136, 184, 142, 190, 143, 191)(137, 185, 144, 192, 138, 186)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 114)(6, 97)(7, 117)(8, 120)(9, 123)(10, 98)(11, 118)(12, 116)(13, 99)(14, 101)(15, 102)(16, 131)(17, 128)(18, 129)(19, 122)(20, 109)(21, 107)(22, 103)(23, 105)(24, 106)(25, 138)(26, 136)(27, 137)(28, 113)(29, 124)(30, 139)(31, 134)(32, 125)(33, 110)(34, 112)(35, 142)(36, 121)(37, 115)(38, 143)(39, 126)(40, 133)(41, 119)(42, 141)(43, 144)(44, 127)(45, 132)(46, 130)(47, 140)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.444
Graph:: simple bipartite
	v = 40 e = 96 f = 36
	degree seq :: [ 4^24, 6^16 ]

E11.439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 30, 78)(13, 61, 25, 73)(14, 62, 23, 71)(15, 63, 24, 72)(16, 64, 22, 70)(18, 66, 27, 75)(19, 67, 28, 76)(21, 69, 38, 86)(29, 77, 37, 85)(31, 79, 36, 84)(32, 80, 44, 92)(33, 81, 42, 90)(34, 82, 39, 87)(35, 83, 41, 89)(40, 88, 47, 95)(43, 91, 46, 94)(45, 93, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 112, 160)(102, 150, 115, 163, 108, 156)(104, 152, 119, 167, 121, 169)(106, 154, 124, 172, 117, 165)(107, 155, 125, 173, 120, 168)(109, 157, 128, 176, 114, 162)(111, 159, 116, 164, 129, 177)(113, 161, 131, 179, 132, 180)(118, 166, 136, 184, 123, 171)(122, 170, 137, 185, 130, 178)(126, 174, 140, 188, 139, 187)(127, 175, 133, 181, 141, 189)(134, 182, 143, 191, 142, 190)(135, 183, 138, 186, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 114)(6, 97)(7, 117)(8, 120)(9, 123)(10, 98)(11, 121)(12, 127)(13, 99)(14, 101)(15, 102)(16, 130)(17, 119)(18, 122)(19, 129)(20, 112)(21, 135)(22, 103)(23, 105)(24, 106)(25, 132)(26, 110)(27, 113)(28, 125)(29, 139)(30, 107)(31, 109)(32, 141)(33, 142)(34, 134)(35, 136)(36, 126)(37, 115)(38, 116)(39, 118)(40, 144)(41, 128)(42, 124)(43, 138)(44, 131)(45, 143)(46, 133)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.445
Graph:: simple bipartite
	v = 40 e = 96 f = 36
	degree seq :: [ 4^24, 6^16 ]

E11.440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, Y1^4, (Y3 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 5, 53)(3, 51, 7, 55, 14, 62, 10, 58)(4, 52, 11, 59, 22, 70, 12, 60)(8, 56, 17, 65, 30, 78, 18, 66)(9, 57, 19, 67, 31, 79, 20, 68)(13, 61, 24, 72, 35, 83, 23, 71)(15, 63, 26, 74, 38, 86, 27, 75)(16, 64, 28, 76, 39, 87, 29, 77)(21, 69, 33, 81, 42, 90, 32, 80)(25, 73, 36, 84, 44, 92, 37, 85)(34, 82, 43, 91, 45, 93, 40, 88)(41, 89, 47, 95, 48, 96, 46, 94)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 110, 158)(104, 152, 112, 160)(107, 155, 115, 163)(108, 156, 116, 164)(109, 157, 117, 165)(111, 159, 121, 169)(113, 161, 124, 172)(114, 162, 125, 173)(118, 166, 127, 175)(119, 167, 128, 176)(120, 168, 129, 177)(122, 170, 132, 180)(123, 171, 133, 181)(126, 174, 135, 183)(130, 178, 137, 185)(131, 179, 138, 186)(134, 182, 140, 188)(136, 184, 142, 190)(139, 187, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 111)(7, 112)(8, 98)(9, 99)(10, 117)(11, 119)(12, 113)(13, 101)(14, 121)(15, 102)(16, 103)(17, 108)(18, 122)(19, 128)(20, 124)(21, 106)(22, 130)(23, 107)(24, 123)(25, 110)(26, 114)(27, 120)(28, 116)(29, 132)(30, 136)(31, 137)(32, 115)(33, 133)(34, 118)(35, 139)(36, 125)(37, 129)(38, 141)(39, 142)(40, 126)(41, 127)(42, 143)(43, 131)(44, 144)(45, 134)(46, 135)(47, 138)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.437
Graph:: simple bipartite
	v = 36 e = 96 f = 40
	degree seq :: [ 4^24, 8^12 ]

E11.441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y1^-1 * Y2)^2, (Y3 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 5, 53)(3, 51, 9, 57, 14, 62, 7, 55)(4, 52, 11, 59, 22, 70, 12, 60)(8, 56, 17, 65, 30, 78, 18, 66)(10, 58, 20, 68, 33, 81, 21, 69)(13, 61, 24, 72, 35, 83, 23, 71)(15, 63, 26, 74, 38, 86, 27, 75)(16, 64, 28, 76, 39, 87, 29, 77)(19, 67, 31, 79, 41, 89, 32, 80)(25, 73, 36, 84, 44, 92, 37, 85)(34, 82, 43, 91, 45, 93, 40, 88)(42, 90, 46, 94, 48, 96, 47, 95)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 105, 153)(102, 150, 110, 158)(104, 152, 112, 160)(107, 155, 117, 165)(108, 156, 116, 164)(109, 157, 115, 163)(111, 159, 121, 169)(113, 161, 125, 173)(114, 162, 124, 172)(118, 166, 129, 177)(119, 167, 127, 175)(120, 168, 128, 176)(122, 170, 133, 181)(123, 171, 132, 180)(126, 174, 135, 183)(130, 178, 138, 186)(131, 179, 137, 185)(134, 182, 140, 188)(136, 184, 142, 190)(139, 187, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 109)(6, 111)(7, 112)(8, 98)(9, 115)(10, 99)(11, 119)(12, 113)(13, 101)(14, 121)(15, 102)(16, 103)(17, 108)(18, 122)(19, 105)(20, 125)(21, 127)(22, 130)(23, 107)(24, 123)(25, 110)(26, 114)(27, 120)(28, 133)(29, 116)(30, 136)(31, 117)(32, 132)(33, 138)(34, 118)(35, 139)(36, 128)(37, 124)(38, 141)(39, 142)(40, 126)(41, 143)(42, 129)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.436
Graph:: simple bipartite
	v = 36 e = 96 f = 40
	degree seq :: [ 4^24, 8^12 ]

E11.442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 5, 53)(3, 51, 9, 57, 23, 71, 11, 59)(4, 52, 12, 60, 27, 75, 13, 61)(7, 55, 18, 66, 35, 83, 20, 68)(8, 56, 21, 69, 36, 84, 22, 70)(10, 58, 19, 67, 31, 79, 26, 74)(14, 62, 28, 76, 40, 88, 25, 73)(15, 63, 29, 77, 39, 87, 24, 72)(16, 64, 30, 78, 41, 89, 32, 80)(17, 65, 33, 81, 42, 90, 34, 82)(37, 85, 45, 93, 47, 95, 43, 91)(38, 86, 46, 94, 48, 96, 44, 92)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 112, 160)(104, 152, 115, 163)(105, 153, 120, 168)(107, 155, 117, 165)(108, 156, 121, 169)(109, 157, 114, 162)(111, 159, 122, 170)(113, 161, 127, 175)(116, 164, 129, 177)(118, 166, 126, 174)(119, 167, 133, 181)(123, 171, 134, 182)(124, 172, 130, 178)(125, 173, 128, 176)(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, 104)(3, 106)(4, 97)(5, 111)(6, 113)(7, 115)(8, 98)(9, 121)(10, 99)(11, 114)(12, 120)(13, 117)(14, 122)(15, 101)(16, 127)(17, 102)(18, 107)(19, 103)(20, 126)(21, 109)(22, 129)(23, 134)(24, 108)(25, 105)(26, 110)(27, 133)(28, 128)(29, 130)(30, 116)(31, 112)(32, 124)(33, 118)(34, 125)(35, 140)(36, 139)(37, 123)(38, 119)(39, 141)(40, 142)(41, 144)(42, 143)(43, 132)(44, 131)(45, 135)(46, 136)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.434
Graph:: simple bipartite
	v = 36 e = 96 f = 40
	degree seq :: [ 4^24, 8^12 ]

E11.443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 5, 53)(3, 51, 9, 57, 23, 71, 11, 59)(4, 52, 12, 60, 27, 75, 13, 61)(7, 55, 18, 66, 35, 83, 20, 68)(8, 56, 21, 69, 36, 84, 22, 70)(10, 58, 24, 72, 31, 79, 19, 67)(14, 62, 26, 74, 40, 88, 28, 76)(15, 63, 29, 77, 39, 87, 25, 73)(16, 64, 30, 78, 41, 89, 32, 80)(17, 65, 33, 81, 42, 90, 34, 82)(37, 85, 45, 93, 47, 95, 43, 91)(38, 86, 44, 92, 48, 96, 46, 94)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 112, 160)(104, 152, 115, 163)(105, 153, 117, 165)(107, 155, 121, 169)(108, 156, 122, 170)(109, 157, 116, 164)(111, 159, 120, 168)(113, 161, 127, 175)(114, 162, 129, 177)(118, 166, 128, 176)(119, 167, 133, 181)(123, 171, 134, 182)(124, 172, 130, 178)(125, 173, 126, 174)(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, 104)(3, 106)(4, 97)(5, 111)(6, 113)(7, 115)(8, 98)(9, 116)(10, 99)(11, 122)(12, 121)(13, 117)(14, 120)(15, 101)(16, 127)(17, 102)(18, 128)(19, 103)(20, 105)(21, 109)(22, 129)(23, 134)(24, 110)(25, 108)(26, 107)(27, 133)(28, 126)(29, 130)(30, 124)(31, 112)(32, 114)(33, 118)(34, 125)(35, 140)(36, 139)(37, 123)(38, 119)(39, 141)(40, 142)(41, 144)(42, 143)(43, 132)(44, 131)(45, 135)(46, 136)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.435
Graph:: simple bipartite
	v = 36 e = 96 f = 40
	degree seq :: [ 4^24, 8^12 ]

E11.444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, Y1^4, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, (Y3^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 35, 83, 13, 61)(4, 52, 15, 63, 25, 73, 17, 65)(6, 54, 21, 69, 24, 72, 22, 70)(8, 56, 26, 74, 47, 95, 28, 76)(9, 57, 30, 78, 20, 68, 32, 80)(10, 58, 33, 81, 19, 67, 34, 82)(12, 60, 37, 85, 43, 91, 27, 75)(14, 62, 29, 77, 45, 93, 40, 88)(16, 64, 41, 89, 46, 94, 31, 79)(18, 66, 36, 84, 48, 96, 39, 87)(23, 71, 42, 90, 38, 86, 44, 92)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 114, 162)(102, 150, 108, 156)(103, 151, 119, 167)(105, 153, 125, 173)(106, 154, 123, 171)(107, 155, 128, 176)(109, 157, 130, 178)(111, 159, 124, 172)(112, 160, 134, 182)(113, 161, 132, 180)(115, 163, 136, 184)(116, 164, 133, 181)(117, 165, 122, 170)(118, 166, 135, 183)(120, 168, 141, 189)(121, 169, 139, 187)(126, 174, 140, 188)(127, 175, 144, 192)(129, 177, 138, 186)(131, 179, 142, 190)(137, 185, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 115)(6, 97)(7, 120)(8, 123)(9, 127)(10, 98)(11, 122)(12, 134)(13, 135)(14, 99)(15, 126)(16, 102)(17, 129)(18, 133)(19, 137)(20, 101)(21, 128)(22, 130)(23, 139)(24, 142)(25, 103)(26, 138)(27, 144)(28, 109)(29, 104)(30, 118)(31, 106)(32, 113)(33, 117)(34, 111)(35, 141)(36, 107)(37, 143)(38, 110)(39, 140)(40, 114)(41, 116)(42, 132)(43, 131)(44, 124)(45, 119)(46, 121)(47, 136)(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, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.438
Graph:: simple bipartite
	v = 36 e = 96 f = 40
	degree seq :: [ 4^24, 8^12 ]

E11.445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, Y1^4, (Y3 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^3, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 35, 83, 13, 61)(4, 52, 15, 63, 25, 73, 17, 65)(6, 54, 21, 69, 24, 72, 22, 70)(8, 56, 26, 74, 47, 95, 28, 76)(9, 57, 30, 78, 20, 68, 32, 80)(10, 58, 33, 81, 19, 67, 34, 82)(12, 60, 27, 75, 43, 91, 38, 86)(14, 62, 40, 88, 45, 93, 29, 77)(16, 64, 41, 89, 46, 94, 31, 79)(18, 66, 36, 84, 48, 96, 39, 87)(23, 71, 42, 90, 37, 85, 44, 92)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 114, 162)(102, 150, 108, 156)(103, 151, 119, 167)(105, 153, 125, 173)(106, 154, 123, 171)(107, 155, 130, 178)(109, 157, 128, 176)(111, 159, 122, 170)(112, 160, 133, 181)(113, 161, 135, 183)(115, 163, 136, 184)(116, 164, 134, 182)(117, 165, 124, 172)(118, 166, 132, 180)(120, 168, 141, 189)(121, 169, 139, 187)(126, 174, 138, 186)(127, 175, 144, 192)(129, 177, 140, 188)(131, 179, 142, 190)(137, 185, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 115)(6, 97)(7, 120)(8, 123)(9, 127)(10, 98)(11, 132)(12, 133)(13, 124)(14, 99)(15, 126)(16, 102)(17, 129)(18, 134)(19, 137)(20, 101)(21, 128)(22, 130)(23, 139)(24, 142)(25, 103)(26, 107)(27, 144)(28, 140)(29, 104)(30, 118)(31, 106)(32, 113)(33, 117)(34, 111)(35, 141)(36, 138)(37, 110)(38, 143)(39, 109)(40, 114)(41, 116)(42, 122)(43, 131)(44, 135)(45, 119)(46, 121)(47, 136)(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, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.439
Graph:: simple bipartite
	v = 36 e = 96 f = 40
	degree seq :: [ 4^24, 8^12 ]

E11.446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^2 * Y2^-2, Y3^2 * Y2^2, Y3^4, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 18, 66)(6, 54, 21, 69, 8, 56)(7, 55, 22, 70, 9, 57)(10, 58, 26, 74, 19, 67)(11, 59, 27, 75, 20, 68)(13, 61, 31, 79, 32, 80)(14, 62, 33, 81, 34, 82)(16, 64, 25, 73, 28, 76)(23, 71, 37, 85, 39, 87)(24, 72, 38, 86, 40, 88)(29, 77, 41, 89, 35, 83)(30, 78, 42, 90, 36, 84)(43, 91, 47, 95, 45, 93)(44, 92, 48, 96, 46, 94)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 110, 158, 103, 151, 112, 160)(101, 149, 115, 163, 125, 173, 108, 156)(105, 153, 120, 168, 107, 155, 121, 169)(111, 159, 131, 179, 139, 187, 127, 175)(113, 161, 124, 172, 116, 164, 126, 174)(114, 162, 132, 180, 140, 188, 129, 177)(117, 165, 128, 176, 141, 189, 133, 181)(118, 166, 130, 178, 142, 190, 134, 182)(122, 170, 135, 183, 143, 191, 137, 185)(123, 171, 136, 184, 144, 192, 138, 186)
	L = (1, 100)(2, 105)(3, 110)(4, 109)(5, 116)(6, 112)(7, 97)(8, 120)(9, 119)(10, 121)(11, 98)(12, 124)(13, 103)(14, 102)(15, 132)(16, 99)(17, 101)(18, 131)(19, 126)(20, 125)(21, 130)(22, 128)(23, 107)(24, 106)(25, 104)(26, 136)(27, 135)(28, 115)(29, 113)(30, 108)(31, 114)(32, 142)(33, 111)(34, 141)(35, 140)(36, 139)(37, 118)(38, 117)(39, 144)(40, 143)(41, 123)(42, 122)(43, 129)(44, 127)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.432
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 6^16, 8^12 ]

E11.447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^2 * Y2^2, Y3^-2 * Y2^2, Y2^4, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 10, 58)(4, 52, 16, 64, 17, 65)(6, 54, 18, 66, 21, 69)(7, 55, 22, 70, 9, 57)(8, 56, 23, 71, 20, 68)(11, 59, 27, 75, 19, 67)(13, 61, 32, 80, 30, 78)(14, 62, 25, 73, 33, 81)(15, 63, 34, 82, 29, 77)(24, 72, 28, 76, 41, 89)(26, 74, 31, 79, 40, 88)(35, 83, 42, 90, 38, 86)(36, 84, 39, 87, 37, 85)(43, 91, 45, 93, 47, 95)(44, 92, 46, 94, 48, 96)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 120, 168, 106, 154)(100, 148, 110, 158, 103, 151, 111, 159)(101, 149, 114, 162, 132, 180, 116, 164)(105, 153, 121, 169, 107, 155, 122, 170)(108, 156, 124, 172, 139, 187, 126, 174)(112, 160, 131, 179, 115, 163, 129, 177)(113, 161, 130, 178, 142, 190, 134, 182)(117, 165, 128, 176, 141, 189, 133, 181)(118, 166, 127, 175, 140, 188, 125, 173)(119, 167, 135, 183, 143, 191, 137, 185)(123, 171, 138, 186, 144, 192, 136, 184)
	L = (1, 100)(2, 105)(3, 110)(4, 109)(5, 115)(6, 111)(7, 97)(8, 121)(9, 120)(10, 122)(11, 98)(12, 125)(13, 103)(14, 102)(15, 99)(16, 101)(17, 133)(18, 129)(19, 132)(20, 131)(21, 134)(22, 126)(23, 136)(24, 107)(25, 106)(26, 104)(27, 137)(28, 118)(29, 139)(30, 140)(31, 108)(32, 113)(33, 116)(34, 117)(35, 114)(36, 112)(37, 142)(38, 141)(39, 123)(40, 143)(41, 144)(42, 119)(43, 127)(44, 124)(45, 130)(46, 128)(47, 138)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.433
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 6^16, 8^12 ]

E11.448 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^6, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1 * T1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 42, 24, 8)(4, 12, 32, 45, 33, 13)(6, 17, 40, 48, 41, 18)(9, 25, 43, 38, 22, 26)(11, 30, 47, 39, 23, 31)(14, 34, 21, 27, 44, 35)(15, 36, 19, 29, 46, 37)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 66, 63)(55, 67, 60, 69)(56, 70, 61, 71)(58, 75, 88, 77)(64, 86, 89, 87)(68, 73, 80, 78)(72, 85, 81, 83)(74, 82, 79, 84)(76, 90, 96, 93)(91, 92, 95, 94)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E11.453
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.449 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^6, T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2, T2^-2 * T1^-1 * T2^-3 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 42, 24, 8)(4, 12, 32, 45, 33, 13)(6, 17, 40, 48, 41, 18)(9, 25, 43, 38, 23, 26)(11, 30, 47, 39, 22, 31)(14, 34, 19, 27, 44, 35)(15, 36, 21, 29, 46, 37)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 66, 63)(55, 67, 60, 69)(56, 70, 61, 71)(58, 75, 88, 77)(64, 86, 89, 87)(68, 78, 80, 73)(72, 83, 81, 85)(74, 84, 79, 82)(76, 90, 96, 93)(91, 94, 95, 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) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E11.454
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.450 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, (T1^-1 * T2)^3, T1 * T2 * T1 * T2 * T1^-1 * T2, T2^6, T2^-3 * T1 * T2^-3 * T1^-1, T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 16, 5)(2, 7, 20, 40, 24, 8)(4, 12, 30, 47, 31, 13)(6, 17, 36, 48, 37, 18)(9, 23, 44, 34, 41, 25)(11, 22, 43, 35, 39, 29)(14, 32, 45, 26, 38, 19)(15, 33, 46, 28, 42, 21)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 66, 63)(55, 67, 60, 69)(56, 70, 61, 71)(58, 74, 84, 76)(64, 82, 85, 83)(68, 87, 78, 89)(72, 93, 79, 94)(73, 90, 77, 86)(75, 88, 96, 95)(80, 92, 81, 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) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E11.456
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.451 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 6})
Quotient :: edge
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-2 * T1^-2 * T2^-1, T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^6 ]
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, 40, 38, 46, 39)(41, 47, 44, 42, 48, 43)(49, 50, 54, 52)(51, 57, 64, 59)(53, 62, 58, 63)(55, 65, 60, 66)(56, 67, 61, 68)(69, 85, 71, 86)(70, 80, 72, 78)(73, 83, 75, 81)(74, 87, 76, 88)(77, 89, 79, 90)(82, 91, 84, 92)(93, 95, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E11.455
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 48 f = 8
	degree seq :: [ 4^12, 6^8 ]

E11.452 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 6})
Quotient :: edge
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-2, T2^6, T1^6, T1^2 * T2^2 * T1^2 * T2^-1, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 17, 5)(2, 7, 21, 40, 16, 8)(4, 12, 9, 26, 36, 14)(6, 19, 30, 46, 24, 20)(11, 29, 27, 41, 38, 15)(13, 33, 31, 47, 37, 34)(18, 42, 45, 48, 44, 43)(22, 35, 32, 39, 25, 23)(49, 50, 54, 66, 61, 52)(51, 57, 73, 90, 78, 59)(53, 63, 85, 91, 87, 64)(55, 58, 75, 81, 93, 70)(56, 71, 84, 82, 77, 72)(60, 79, 86, 67, 69, 80)(62, 83, 92, 68, 89, 65)(74, 76, 88, 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) :: { ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E11.457
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 6^16 ]

E11.453 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^6, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1 * T1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 28, 76, 16, 64, 5, 53)(2, 50, 7, 55, 20, 68, 42, 90, 24, 72, 8, 56)(4, 52, 12, 60, 32, 80, 45, 93, 33, 81, 13, 61)(6, 54, 17, 65, 40, 88, 48, 96, 41, 89, 18, 66)(9, 57, 25, 73, 43, 91, 38, 86, 22, 70, 26, 74)(11, 59, 30, 78, 47, 95, 39, 87, 23, 71, 31, 79)(14, 62, 34, 82, 21, 69, 27, 75, 44, 92, 35, 83)(15, 63, 36, 84, 19, 67, 29, 77, 46, 94, 37, 85)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 67)(8, 70)(9, 65)(10, 75)(11, 51)(12, 69)(13, 71)(14, 66)(15, 53)(16, 86)(17, 59)(18, 63)(19, 60)(20, 73)(21, 55)(22, 61)(23, 56)(24, 85)(25, 80)(26, 82)(27, 88)(28, 90)(29, 58)(30, 68)(31, 84)(32, 78)(33, 83)(34, 79)(35, 72)(36, 74)(37, 81)(38, 89)(39, 64)(40, 77)(41, 87)(42, 96)(43, 92)(44, 95)(45, 76)(46, 91)(47, 94)(48, 93)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.448
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 48 f = 20
	degree seq :: [ 12^8 ]

E11.454 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^6, T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2, T2^-2 * T1^-1 * T2^-3 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 10, 58, 28, 76, 16, 64, 5, 53)(2, 50, 7, 55, 20, 68, 42, 90, 24, 72, 8, 56)(4, 52, 12, 60, 32, 80, 45, 93, 33, 81, 13, 61)(6, 54, 17, 65, 40, 88, 48, 96, 41, 89, 18, 66)(9, 57, 25, 73, 43, 91, 38, 86, 23, 71, 26, 74)(11, 59, 30, 78, 47, 95, 39, 87, 22, 70, 31, 79)(14, 62, 34, 82, 19, 67, 27, 75, 44, 92, 35, 83)(15, 63, 36, 84, 21, 69, 29, 77, 46, 94, 37, 85)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 67)(8, 70)(9, 65)(10, 75)(11, 51)(12, 69)(13, 71)(14, 66)(15, 53)(16, 86)(17, 59)(18, 63)(19, 60)(20, 78)(21, 55)(22, 61)(23, 56)(24, 83)(25, 68)(26, 84)(27, 88)(28, 90)(29, 58)(30, 80)(31, 82)(32, 73)(33, 85)(34, 74)(35, 81)(36, 79)(37, 72)(38, 89)(39, 64)(40, 77)(41, 87)(42, 96)(43, 94)(44, 91)(45, 76)(46, 95)(47, 92)(48, 93)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.449
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 48 f = 20
	degree seq :: [ 12^8 ]

E11.455 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, (T1^-1 * T2)^3, T1 * T2 * T1 * T2 * T1^-1 * T2, T2^6, T2^-3 * T1 * T2^-3 * T1^-1, T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 10, 58, 27, 75, 16, 64, 5, 53)(2, 50, 7, 55, 20, 68, 40, 88, 24, 72, 8, 56)(4, 52, 12, 60, 30, 78, 47, 95, 31, 79, 13, 61)(6, 54, 17, 65, 36, 84, 48, 96, 37, 85, 18, 66)(9, 57, 23, 71, 44, 92, 34, 82, 41, 89, 25, 73)(11, 59, 22, 70, 43, 91, 35, 83, 39, 87, 29, 77)(14, 62, 32, 80, 45, 93, 26, 74, 38, 86, 19, 67)(15, 63, 33, 81, 46, 94, 28, 76, 42, 90, 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, 87)(21, 55)(22, 61)(23, 56)(24, 93)(25, 90)(26, 84)(27, 88)(28, 58)(29, 86)(30, 89)(31, 94)(32, 92)(33, 91)(34, 85)(35, 64)(36, 76)(37, 83)(38, 73)(39, 78)(40, 96)(41, 68)(42, 77)(43, 80)(44, 81)(45, 79)(46, 72)(47, 75)(48, 95)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.451
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 48 f = 20
	degree seq :: [ 12^8 ]

E11.456 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 6})
Quotient :: loop
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-2 * T1^-2 * T2^-1, T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^6 ]
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, 40, 88, 38, 86, 46, 94, 39, 87)(41, 89, 47, 95, 44, 92, 42, 90, 48, 96, 43, 91)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 65)(8, 67)(9, 64)(10, 63)(11, 51)(12, 66)(13, 68)(14, 58)(15, 53)(16, 59)(17, 60)(18, 55)(19, 61)(20, 56)(21, 85)(22, 80)(23, 86)(24, 78)(25, 83)(26, 87)(27, 81)(28, 88)(29, 89)(30, 70)(31, 90)(32, 72)(33, 73)(34, 91)(35, 75)(36, 92)(37, 71)(38, 69)(39, 76)(40, 74)(41, 79)(42, 77)(43, 84)(44, 82)(45, 95)(46, 96)(47, 94)(48, 93)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.450
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 20
	degree seq :: [ 12^8 ]

E11.457 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-1)^3, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T1^6, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-3 * T2^-1 * T1^-3 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 5, 53)(2, 50, 7, 55, 21, 69, 8, 56)(4, 52, 12, 60, 28, 76, 14, 62)(6, 54, 18, 66, 39, 87, 19, 67)(9, 57, 26, 74, 15, 63, 27, 75)(11, 59, 23, 71, 16, 64, 20, 68)(13, 61, 31, 79, 47, 95, 32, 80)(17, 65, 36, 84, 48, 96, 37, 85)(22, 70, 41, 89, 24, 72, 38, 86)(25, 73, 46, 94, 34, 82, 44, 92)(29, 77, 40, 88, 35, 83, 42, 90)(30, 78, 43, 91, 33, 81, 45, 93)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 65)(7, 68)(8, 71)(9, 73)(10, 69)(11, 51)(12, 78)(13, 52)(14, 81)(15, 82)(16, 53)(17, 61)(18, 86)(19, 89)(20, 91)(21, 87)(22, 55)(23, 93)(24, 56)(25, 84)(26, 60)(27, 62)(28, 58)(29, 59)(30, 88)(31, 92)(32, 94)(33, 90)(34, 85)(35, 64)(36, 77)(37, 83)(38, 74)(39, 96)(40, 66)(41, 75)(42, 67)(43, 79)(44, 70)(45, 80)(46, 72)(47, 76)(48, 95)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E11.452
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y1 * Y3, (R * Y1)^2, Y3 * Y1^-2 * Y3, (R * Y3)^2, Y2^6, Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y2^-1 * Y3^-1)^2, Y1 * Y2 * R * Y2^2 * R * Y2, Y3^-1 * Y2^-2 * Y3 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y2^-2 * Y1 * Y2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 27, 75, 40, 88, 29, 77)(16, 64, 38, 86, 41, 89, 39, 87)(20, 68, 30, 78, 32, 80, 25, 73)(24, 72, 35, 83, 33, 81, 37, 85)(26, 74, 36, 84, 31, 79, 34, 82)(28, 76, 42, 90, 48, 96, 45, 93)(43, 91, 46, 94, 47, 95, 44, 92)(97, 145, 99, 147, 106, 154, 124, 172, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 138, 186, 120, 168, 104, 152)(100, 148, 108, 156, 128, 176, 141, 189, 129, 177, 109, 157)(102, 150, 113, 161, 136, 184, 144, 192, 137, 185, 114, 162)(105, 153, 121, 169, 139, 187, 134, 182, 119, 167, 122, 170)(107, 155, 126, 174, 143, 191, 135, 183, 118, 166, 127, 175)(110, 158, 130, 178, 115, 163, 123, 171, 140, 188, 131, 179)(111, 159, 132, 180, 117, 165, 125, 173, 142, 190, 133, 181)
	L = (1, 100)(2, 97)(3, 107)(4, 102)(5, 111)(6, 98)(7, 117)(8, 119)(9, 99)(10, 125)(11, 113)(12, 115)(13, 118)(14, 101)(15, 114)(16, 135)(17, 105)(18, 110)(19, 103)(20, 121)(21, 108)(22, 104)(23, 109)(24, 133)(25, 128)(26, 130)(27, 106)(28, 141)(29, 136)(30, 116)(31, 132)(32, 126)(33, 131)(34, 127)(35, 120)(36, 122)(37, 129)(38, 112)(39, 137)(40, 123)(41, 134)(42, 124)(43, 140)(44, 143)(45, 144)(46, 139)(47, 142)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.465
Graph:: bipartite
	v = 20 e = 96 f = 56
	degree seq :: [ 8^12, 12^8 ]

E11.459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, R * Y3^-1 * Y2^-1 * Y3 * R * Y2^-1, Y3 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, (R * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-2, Y3 * Y2 * Y1^-1 * Y2^-2 * Y3^-1 * Y2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 27, 75, 40, 88, 29, 77)(16, 64, 38, 86, 41, 89, 39, 87)(20, 68, 25, 73, 32, 80, 30, 78)(24, 72, 37, 85, 33, 81, 35, 83)(26, 74, 34, 82, 31, 79, 36, 84)(28, 76, 42, 90, 48, 96, 45, 93)(43, 91, 44, 92, 47, 95, 46, 94)(97, 145, 99, 147, 106, 154, 124, 172, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 138, 186, 120, 168, 104, 152)(100, 148, 108, 156, 128, 176, 141, 189, 129, 177, 109, 157)(102, 150, 113, 161, 136, 184, 144, 192, 137, 185, 114, 162)(105, 153, 121, 169, 139, 187, 134, 182, 118, 166, 122, 170)(107, 155, 126, 174, 143, 191, 135, 183, 119, 167, 127, 175)(110, 158, 130, 178, 117, 165, 123, 171, 140, 188, 131, 179)(111, 159, 132, 180, 115, 163, 125, 173, 142, 190, 133, 181)
	L = (1, 100)(2, 97)(3, 107)(4, 102)(5, 111)(6, 98)(7, 117)(8, 119)(9, 99)(10, 125)(11, 113)(12, 115)(13, 118)(14, 101)(15, 114)(16, 135)(17, 105)(18, 110)(19, 103)(20, 126)(21, 108)(22, 104)(23, 109)(24, 131)(25, 116)(26, 132)(27, 106)(28, 141)(29, 136)(30, 128)(31, 130)(32, 121)(33, 133)(34, 122)(35, 129)(36, 127)(37, 120)(38, 112)(39, 137)(40, 123)(41, 134)(42, 124)(43, 142)(44, 139)(45, 144)(46, 143)(47, 140)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E11.464
Graph:: bipartite
	v = 20 e = 96 f = 56
	degree seq :: [ 8^12, 12^8 ]

E11.460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, Y1^3 * Y3^-1, (R * Y1)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^6, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-3 * Y3^-1 * Y2^-3, Y3^3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-3 * Y1 * Y2^-3 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
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, 36, 84, 28, 76)(16, 64, 34, 82, 37, 85, 35, 83)(20, 68, 39, 87, 30, 78, 41, 89)(24, 72, 45, 93, 31, 79, 46, 94)(25, 73, 42, 90, 29, 77, 38, 86)(27, 75, 40, 88, 48, 96, 47, 95)(32, 80, 44, 92, 33, 81, 43, 91)(97, 145, 99, 147, 106, 154, 123, 171, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 136, 184, 120, 168, 104, 152)(100, 148, 108, 156, 126, 174, 143, 191, 127, 175, 109, 157)(102, 150, 113, 161, 132, 180, 144, 192, 133, 181, 114, 162)(105, 153, 119, 167, 140, 188, 130, 178, 137, 185, 121, 169)(107, 155, 118, 166, 139, 187, 131, 179, 135, 183, 125, 173)(110, 158, 128, 176, 141, 189, 122, 170, 134, 182, 115, 163)(111, 159, 129, 177, 142, 190, 124, 172, 138, 186, 117, 165)
	L = (1, 100)(2, 97)(3, 107)(4, 102)(5, 111)(6, 98)(7, 117)(8, 119)(9, 99)(10, 124)(11, 113)(12, 115)(13, 118)(14, 101)(15, 114)(16, 131)(17, 105)(18, 110)(19, 103)(20, 137)(21, 108)(22, 104)(23, 109)(24, 142)(25, 134)(26, 106)(27, 143)(28, 132)(29, 138)(30, 135)(31, 141)(32, 139)(33, 140)(34, 112)(35, 133)(36, 122)(37, 130)(38, 125)(39, 116)(40, 123)(41, 126)(42, 121)(43, 129)(44, 128)(45, 120)(46, 127)(47, 144)(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, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.467
Graph:: bipartite
	v = 20 e = 96 f = 56
	degree seq :: [ 8^12, 12^8 ]

E11.461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, Y1^4, Y3 * Y2^3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * R * Y2^2 * R * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 16, 64, 11, 59)(5, 53, 14, 62, 10, 58, 15, 63)(7, 55, 17, 65, 12, 60, 18, 66)(8, 56, 19, 67, 13, 61, 20, 68)(21, 69, 37, 85, 23, 71, 38, 86)(22, 70, 32, 80, 24, 72, 30, 78)(25, 73, 35, 83, 27, 75, 33, 81)(26, 74, 39, 87, 28, 76, 40, 88)(29, 77, 41, 89, 31, 79, 42, 90)(34, 82, 43, 91, 36, 84, 44, 92)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 102, 150, 112, 160, 101, 149)(98, 146, 103, 151, 109, 157, 100, 148, 108, 156, 104, 152)(105, 153, 117, 165, 120, 168, 107, 155, 119, 167, 118, 166)(110, 158, 121, 169, 124, 172, 111, 159, 123, 171, 122, 170)(113, 161, 125, 173, 128, 176, 114, 162, 127, 175, 126, 174)(115, 163, 129, 177, 132, 180, 116, 164, 131, 179, 130, 178)(133, 181, 141, 189, 136, 184, 134, 182, 142, 190, 135, 183)(137, 185, 143, 191, 140, 188, 138, 186, 144, 192, 139, 187)
	L = (1, 100)(2, 97)(3, 107)(4, 102)(5, 111)(6, 98)(7, 114)(8, 116)(9, 99)(10, 110)(11, 112)(12, 113)(13, 115)(14, 101)(15, 106)(16, 105)(17, 103)(18, 108)(19, 104)(20, 109)(21, 134)(22, 126)(23, 133)(24, 128)(25, 129)(26, 136)(27, 131)(28, 135)(29, 138)(30, 120)(31, 137)(32, 118)(33, 123)(34, 140)(35, 121)(36, 139)(37, 117)(38, 119)(39, 122)(40, 124)(41, 125)(42, 127)(43, 130)(44, 132)(45, 144)(46, 143)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.466
Graph:: bipartite
	v = 20 e = 96 f = 56
	degree seq :: [ 8^12, 12^8 ]

E11.462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-2 * Y2, Y1^6, Y2^6, Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2^2 * Y1^-1 * Y2^2 * Y1, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 24, 72, 34, 82, 14, 62, 11, 59)(5, 53, 15, 63, 7, 55, 20, 68, 39, 87, 16, 64)(8, 56, 22, 70, 19, 67, 33, 81, 32, 80, 12, 60)(10, 58, 26, 74, 23, 71, 44, 92, 30, 78, 28, 76)(17, 65, 40, 88, 36, 84, 42, 90, 31, 79, 41, 89)(21, 69, 29, 77, 25, 73, 38, 86, 37, 85, 35, 83)(27, 75, 43, 91, 45, 93, 48, 96, 47, 95, 46, 94)(97, 145, 99, 147, 106, 154, 123, 171, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 139, 187, 119, 167, 104, 152)(100, 148, 108, 156, 127, 175, 142, 190, 131, 179, 110, 158)(102, 150, 115, 163, 136, 184, 141, 189, 121, 169, 105, 153)(107, 155, 125, 173, 135, 183, 137, 185, 118, 166, 126, 174)(109, 157, 112, 160, 134, 182, 143, 191, 124, 172, 129, 177)(111, 159, 132, 180, 128, 176, 122, 170, 120, 168, 133, 181)(114, 162, 130, 178, 140, 188, 144, 192, 138, 186, 116, 164)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 117)(8, 98)(9, 102)(10, 123)(11, 125)(12, 127)(13, 112)(14, 100)(15, 132)(16, 134)(17, 101)(18, 130)(19, 136)(20, 114)(21, 139)(22, 126)(23, 104)(24, 133)(25, 105)(26, 120)(27, 113)(28, 129)(29, 135)(30, 107)(31, 142)(32, 122)(33, 109)(34, 140)(35, 110)(36, 128)(37, 111)(38, 143)(39, 137)(40, 141)(41, 118)(42, 116)(43, 119)(44, 144)(45, 121)(46, 131)(47, 124)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.463
Graph:: bipartite
	v = 16 e = 96 f = 60
	degree seq :: [ 12^16 ]

E11.463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^2 * Y2^-1, Y3^3 * Y2 * Y3^-3 * Y2^-1, (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, 113, 161, 107, 155)(101, 149, 110, 158, 114, 162, 111, 159)(103, 151, 115, 163, 108, 156, 117, 165)(104, 152, 118, 166, 109, 157, 119, 167)(106, 154, 122, 170, 132, 180, 124, 172)(112, 160, 130, 178, 133, 181, 131, 179)(116, 164, 135, 183, 126, 174, 137, 185)(120, 168, 141, 189, 127, 175, 142, 190)(121, 169, 138, 186, 125, 173, 134, 182)(123, 171, 136, 184, 144, 192, 143, 191)(128, 176, 140, 188, 129, 177, 139, 187)
	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, 132)(18, 102)(19, 111)(20, 136)(21, 110)(22, 139)(23, 140)(24, 104)(25, 105)(26, 138)(27, 112)(28, 134)(29, 107)(30, 143)(31, 109)(32, 142)(33, 141)(34, 135)(35, 137)(36, 144)(37, 114)(38, 115)(39, 121)(40, 120)(41, 125)(42, 117)(43, 130)(44, 131)(45, 124)(46, 122)(47, 127)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E11.462
Graph:: simple bipartite
	v = 60 e = 96 f = 16
	degree seq :: [ 2^48, 8^12 ]

E11.464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y1^6, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 17, 65, 13, 61, 4, 52)(3, 51, 9, 57, 25, 73, 40, 88, 30, 78, 11, 59)(5, 53, 15, 63, 38, 86, 41, 89, 39, 87, 16, 64)(7, 55, 20, 68, 45, 93, 34, 82, 29, 77, 22, 70)(8, 56, 23, 71, 46, 94, 35, 83, 31, 79, 24, 72)(10, 58, 21, 69, 43, 91, 48, 96, 47, 95, 28, 76)(12, 60, 32, 80, 27, 75, 18, 66, 42, 90, 33, 81)(14, 62, 36, 84, 26, 74, 19, 67, 44, 92, 37, 85)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 114)(7, 117)(8, 98)(9, 122)(10, 101)(11, 125)(12, 124)(13, 130)(14, 100)(15, 123)(16, 127)(17, 136)(18, 139)(19, 102)(20, 134)(21, 104)(22, 128)(23, 121)(24, 132)(25, 116)(26, 111)(27, 105)(28, 110)(29, 112)(30, 133)(31, 107)(32, 120)(33, 126)(34, 143)(35, 109)(36, 118)(37, 135)(38, 119)(39, 129)(40, 144)(41, 113)(42, 142)(43, 115)(44, 141)(45, 138)(46, 140)(47, 131)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.459
Graph:: simple bipartite
	v = 56 e = 96 f = 20
	degree seq :: [ 2^48, 12^8 ]

E11.465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (R * Y1)^2, (R * Y3)^2, Y3^4, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^6, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y1^-3 * Y3 * Y1^-3 * Y3^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal
	R = (1, 49, 2, 50, 6, 54, 17, 65, 13, 61, 4, 52)(3, 51, 9, 57, 25, 73, 40, 88, 30, 78, 11, 59)(5, 53, 15, 63, 38, 86, 41, 89, 39, 87, 16, 64)(7, 55, 20, 68, 45, 93, 34, 82, 31, 79, 22, 70)(8, 56, 23, 71, 46, 94, 35, 83, 29, 77, 24, 72)(10, 58, 21, 69, 43, 91, 48, 96, 47, 95, 28, 76)(12, 60, 32, 80, 26, 74, 18, 66, 42, 90, 33, 81)(14, 62, 36, 84, 27, 75, 19, 67, 44, 92, 37, 85)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 114)(7, 117)(8, 98)(9, 122)(10, 101)(11, 125)(12, 124)(13, 130)(14, 100)(15, 123)(16, 127)(17, 136)(18, 139)(19, 102)(20, 121)(21, 104)(22, 132)(23, 134)(24, 128)(25, 119)(26, 111)(27, 105)(28, 110)(29, 112)(30, 129)(31, 107)(32, 118)(33, 135)(34, 143)(35, 109)(36, 120)(37, 126)(38, 116)(39, 133)(40, 144)(41, 113)(42, 141)(43, 115)(44, 142)(45, 140)(46, 138)(47, 131)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.458
Graph:: simple bipartite
	v = 56 e = 96 f = 20
	degree seq :: [ 2^48, 12^8 ]

E11.466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^4, Y3^4, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-3 * Y3^-1 * Y1^-3, (Y3 * Y2^-1)^4 ]
Map:: polytopal
	R = (1, 49, 2, 50, 6, 54, 17, 65, 13, 61, 4, 52)(3, 51, 9, 57, 25, 73, 36, 84, 29, 77, 11, 59)(5, 53, 15, 63, 34, 82, 37, 85, 35, 83, 16, 64)(7, 55, 20, 68, 43, 91, 31, 79, 44, 92, 22, 70)(8, 56, 23, 71, 45, 93, 32, 80, 46, 94, 24, 72)(10, 58, 21, 69, 39, 87, 48, 96, 47, 95, 28, 76)(12, 60, 30, 78, 40, 88, 18, 66, 38, 86, 26, 74)(14, 62, 33, 81, 42, 90, 19, 67, 41, 89, 27, 75)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 114)(7, 117)(8, 98)(9, 122)(10, 101)(11, 119)(12, 124)(13, 127)(14, 100)(15, 123)(16, 116)(17, 132)(18, 135)(19, 102)(20, 107)(21, 104)(22, 137)(23, 112)(24, 134)(25, 142)(26, 111)(27, 105)(28, 110)(29, 136)(30, 139)(31, 143)(32, 109)(33, 141)(34, 140)(35, 138)(36, 144)(37, 113)(38, 118)(39, 115)(40, 131)(41, 120)(42, 125)(43, 129)(44, 121)(45, 126)(46, 130)(47, 128)(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, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.461
Graph:: simple bipartite
	v = 56 e = 96 f = 20
	degree seq :: [ 2^48, 12^8 ]

E11.467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (R * Y1)^2, (R * Y3)^2, Y3^4, Y1^3 * Y3^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1^-1)^6 ]
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, 31, 79, 22, 70, 34, 82, 32, 80)(23, 71, 35, 83, 38, 86, 24, 72, 37, 85, 36, 84)(29, 77, 41, 89, 40, 88, 30, 78, 42, 90, 39, 87)(43, 91, 47, 95, 46, 94, 44, 92, 48, 96, 45, 93)(97, 145)(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, 133)(26, 135)(27, 131)(28, 136)(29, 115)(30, 113)(31, 116)(32, 114)(33, 139)(34, 140)(35, 121)(36, 141)(37, 123)(38, 142)(39, 124)(40, 122)(41, 143)(42, 144)(43, 130)(44, 129)(45, 134)(46, 132)(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, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.460
Graph:: simple bipartite
	v = 56 e = 96 f = 20
	degree seq :: [ 2^48, 12^8 ]

E11.468 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 8})
Quotient :: edge
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2^-3, T2^-2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T2^8, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 40, 19, 15, 5)(2, 6, 17, 10, 27, 30, 21, 7)(4, 11, 29, 18, 33, 13, 32, 12)(8, 22, 41, 26, 20, 38, 42, 23)(14, 24, 43, 44, 28, 35, 46, 34)(16, 36, 47, 39, 31, 45, 48, 37)(49, 50, 52)(51, 56, 58)(53, 61, 62)(54, 64, 66)(55, 67, 68)(57, 72, 74)(59, 76, 73)(60, 78, 79)(63, 83, 71)(65, 86, 87)(69, 70, 85)(75, 81, 88)(77, 93, 82)(80, 84, 92)(89, 94, 95)(90, 91, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.469
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 48 f = 6
	degree seq :: [ 3^16, 8^6 ]

E11.469 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 8})
Quotient :: loop
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2^-3, T2^-2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T2^8, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 25, 73, 40, 88, 19, 67, 15, 63, 5, 53)(2, 50, 6, 54, 17, 65, 10, 58, 27, 75, 30, 78, 21, 69, 7, 55)(4, 52, 11, 59, 29, 77, 18, 66, 33, 81, 13, 61, 32, 80, 12, 60)(8, 56, 22, 70, 41, 89, 26, 74, 20, 68, 38, 86, 42, 90, 23, 71)(14, 62, 24, 72, 43, 91, 44, 92, 28, 76, 35, 83, 46, 94, 34, 82)(16, 64, 36, 84, 47, 95, 39, 87, 31, 79, 45, 93, 48, 96, 37, 85)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 61)(6, 64)(7, 67)(8, 58)(9, 72)(10, 51)(11, 76)(12, 78)(13, 62)(14, 53)(15, 83)(16, 66)(17, 86)(18, 54)(19, 68)(20, 55)(21, 70)(22, 85)(23, 63)(24, 74)(25, 59)(26, 57)(27, 81)(28, 73)(29, 93)(30, 79)(31, 60)(32, 84)(33, 88)(34, 77)(35, 71)(36, 92)(37, 69)(38, 87)(39, 65)(40, 75)(41, 94)(42, 91)(43, 96)(44, 80)(45, 82)(46, 95)(47, 89)(48, 90)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.468
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 48 f = 22
	degree seq :: [ 16^6 ]

E11.470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y1^-2, R * Y1 * R * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^-1 * Y1 * R * Y2^-1 * R * Y3, Y2^3 * Y1 * Y2^-1 * Y1, Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^2 * Y3 * Y2 * Y3^-1 * Y2, (Y2 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
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, 28, 76, 25, 73)(12, 60, 30, 78, 31, 79)(15, 63, 35, 83, 23, 71)(17, 65, 38, 86, 39, 87)(21, 69, 22, 70, 37, 85)(27, 75, 33, 81, 40, 88)(29, 77, 45, 93, 34, 82)(32, 80, 36, 84, 44, 92)(41, 89, 46, 94, 47, 95)(42, 90, 43, 91, 48, 96)(97, 145, 99, 147, 105, 153, 121, 169, 136, 184, 115, 163, 111, 159, 101, 149)(98, 146, 102, 150, 113, 161, 106, 154, 123, 171, 126, 174, 117, 165, 103, 151)(100, 148, 107, 155, 125, 173, 114, 162, 129, 177, 109, 157, 128, 176, 108, 156)(104, 152, 118, 166, 137, 185, 122, 170, 116, 164, 134, 182, 138, 186, 119, 167)(110, 158, 120, 168, 139, 187, 140, 188, 124, 172, 131, 179, 142, 190, 130, 178)(112, 160, 132, 180, 143, 191, 135, 183, 127, 175, 141, 189, 144, 192, 133, 181)
	L = (1, 100)(2, 97)(3, 106)(4, 98)(5, 110)(6, 114)(7, 116)(8, 99)(9, 122)(10, 104)(11, 121)(12, 127)(13, 101)(14, 109)(15, 119)(16, 102)(17, 135)(18, 112)(19, 103)(20, 115)(21, 133)(22, 117)(23, 131)(24, 105)(25, 124)(26, 120)(27, 136)(28, 107)(29, 130)(30, 108)(31, 126)(32, 140)(33, 123)(34, 141)(35, 111)(36, 128)(37, 118)(38, 113)(39, 134)(40, 129)(41, 143)(42, 144)(43, 138)(44, 132)(45, 125)(46, 137)(47, 142)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E11.471
Graph:: bipartite
	v = 22 e = 96 f = 54
	degree seq :: [ 6^16, 16^6 ]

E11.471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^3 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^2, Y1 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 36, 84, 25, 73, 12, 60, 4, 52)(3, 51, 9, 57, 22, 70, 8, 56, 21, 69, 34, 82, 26, 74, 10, 58)(5, 53, 14, 62, 32, 80, 24, 72, 29, 77, 11, 59, 28, 76, 15, 63)(7, 55, 19, 67, 38, 86, 18, 66, 27, 75, 41, 89, 40, 88, 20, 68)(13, 61, 17, 65, 37, 85, 44, 92, 33, 81, 30, 78, 45, 93, 31, 79)(23, 71, 43, 91, 48, 96, 42, 90, 35, 83, 46, 94, 47, 95, 39, 87)(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, 119)(10, 121)(11, 109)(12, 126)(13, 100)(14, 129)(15, 130)(16, 110)(17, 114)(18, 102)(19, 135)(20, 108)(21, 125)(22, 137)(23, 120)(24, 105)(25, 123)(26, 115)(27, 106)(28, 139)(29, 132)(30, 116)(31, 128)(32, 142)(33, 112)(34, 131)(35, 111)(36, 117)(37, 143)(38, 141)(39, 122)(40, 133)(41, 138)(42, 118)(43, 140)(44, 124)(45, 144)(46, 127)(47, 136)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.470
Graph:: simple bipartite
	v = 54 e = 96 f = 22
	degree seq :: [ 2^48, 16^6 ]

E11.472 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 8})
Quotient :: edge
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1 * T2^2 * T1^-1, (T2^-3 * T1^-1)^2, T2^8, T2^-1 * T1 * T2^2 * T1 * 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, 20, 38, 26, 13, 5)(2, 6, 15, 30, 46, 32, 16, 7)(4, 10, 21, 40, 48, 37, 22, 11)(8, 17, 33, 25, 43, 29, 34, 18)(12, 23, 42, 41, 36, 19, 35, 24)(14, 27, 44, 31, 47, 39, 45, 28)(49, 50, 52)(51, 56, 55)(53, 58, 60)(54, 62, 59)(57, 67, 66)(61, 71, 73)(63, 77, 76)(64, 65, 79)(68, 85, 84)(69, 87, 72)(70, 75, 89)(74, 91, 78)(80, 95, 88)(81, 90, 92)(82, 83, 93)(86, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.473
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 48 f = 6
	degree seq :: [ 3^16, 8^6 ]

E11.473 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 8})
Quotient :: loop
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1 * T2^2 * T1^-1, (T2^-3 * T1^-1)^2, T2^8, T2^-1 * T1 * T2^2 * T1 * 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, 20, 68, 38, 86, 26, 74, 13, 61, 5, 53)(2, 50, 6, 54, 15, 63, 30, 78, 46, 94, 32, 80, 16, 64, 7, 55)(4, 52, 10, 58, 21, 69, 40, 88, 48, 96, 37, 85, 22, 70, 11, 59)(8, 56, 17, 65, 33, 81, 25, 73, 43, 91, 29, 77, 34, 82, 18, 66)(12, 60, 23, 71, 42, 90, 41, 89, 36, 84, 19, 67, 35, 83, 24, 72)(14, 62, 27, 75, 44, 92, 31, 79, 47, 95, 39, 87, 45, 93, 28, 76)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 58)(6, 62)(7, 51)(8, 55)(9, 67)(10, 60)(11, 54)(12, 53)(13, 71)(14, 59)(15, 77)(16, 65)(17, 79)(18, 57)(19, 66)(20, 85)(21, 87)(22, 75)(23, 73)(24, 69)(25, 61)(26, 91)(27, 89)(28, 63)(29, 76)(30, 74)(31, 64)(32, 95)(33, 90)(34, 83)(35, 93)(36, 68)(37, 84)(38, 94)(39, 72)(40, 80)(41, 70)(42, 92)(43, 78)(44, 81)(45, 82)(46, 96)(47, 88)(48, 86)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.472
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 48 f = 22
	degree seq :: [ 16^6 ]

E11.474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^3, Y1^-1 * Y3^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y2^-3 * Y1^-1 * Y2^-2, Y2^8, Y1 * Y2^-1 * R * Y2^-3 * R * Y2^2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 7, 55)(5, 53, 10, 58, 12, 60)(6, 54, 14, 62, 11, 59)(9, 57, 19, 67, 18, 66)(13, 61, 23, 71, 25, 73)(15, 63, 29, 77, 28, 76)(16, 64, 17, 65, 31, 79)(20, 68, 37, 85, 36, 84)(21, 69, 39, 87, 24, 72)(22, 70, 27, 75, 41, 89)(26, 74, 43, 91, 30, 78)(32, 80, 47, 95, 40, 88)(33, 81, 42, 90, 44, 92)(34, 82, 35, 83, 45, 93)(38, 86, 46, 94, 48, 96)(97, 145, 99, 147, 105, 153, 116, 164, 134, 182, 122, 170, 109, 157, 101, 149)(98, 146, 102, 150, 111, 159, 126, 174, 142, 190, 128, 176, 112, 160, 103, 151)(100, 148, 106, 154, 117, 165, 136, 184, 144, 192, 133, 181, 118, 166, 107, 155)(104, 152, 113, 161, 129, 177, 121, 169, 139, 187, 125, 173, 130, 178, 114, 162)(108, 156, 119, 167, 138, 186, 137, 185, 132, 180, 115, 163, 131, 179, 120, 168)(110, 158, 123, 171, 140, 188, 127, 175, 143, 191, 135, 183, 141, 189, 124, 172)
	L = (1, 100)(2, 97)(3, 103)(4, 98)(5, 108)(6, 107)(7, 104)(8, 99)(9, 114)(10, 101)(11, 110)(12, 106)(13, 121)(14, 102)(15, 124)(16, 127)(17, 112)(18, 115)(19, 105)(20, 132)(21, 120)(22, 137)(23, 109)(24, 135)(25, 119)(26, 126)(27, 118)(28, 125)(29, 111)(30, 139)(31, 113)(32, 136)(33, 140)(34, 141)(35, 130)(36, 133)(37, 116)(38, 144)(39, 117)(40, 143)(41, 123)(42, 129)(43, 122)(44, 138)(45, 131)(46, 134)(47, 128)(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, 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 E11.475
Graph:: bipartite
	v = 22 e = 96 f = 54
	degree seq :: [ 6^16, 16^6 ]

E11.475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^8, (Y1^-2 * Y3^-1 * Y1^-1)^2, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 27, 75, 23, 71, 11, 59, 4, 52)(3, 51, 9, 57, 19, 67, 35, 83, 44, 92, 34, 82, 18, 66, 8, 56)(5, 53, 10, 58, 21, 69, 39, 87, 45, 93, 28, 76, 26, 74, 13, 61)(7, 55, 17, 65, 32, 80, 24, 72, 42, 90, 36, 84, 31, 79, 16, 64)(12, 60, 22, 70, 41, 89, 43, 91, 29, 77, 15, 63, 30, 78, 25, 73)(20, 68, 38, 86, 47, 95, 33, 81, 48, 96, 40, 88, 46, 94, 37, 85)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 101)(4, 106)(5, 97)(6, 111)(7, 104)(8, 98)(9, 116)(10, 108)(11, 118)(12, 100)(13, 105)(14, 124)(15, 112)(16, 102)(17, 129)(18, 113)(19, 132)(20, 109)(21, 136)(22, 120)(23, 138)(24, 107)(25, 117)(26, 134)(27, 140)(28, 125)(29, 110)(30, 142)(31, 126)(32, 137)(33, 114)(34, 144)(35, 119)(36, 133)(37, 115)(38, 139)(39, 130)(40, 121)(41, 143)(42, 131)(43, 122)(44, 141)(45, 123)(46, 127)(47, 128)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.474
Graph:: simple bipartite
	v = 54 e = 96 f = 22
	degree seq :: [ 2^48, 16^6 ]

E11.476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 5, 53)(4, 52, 8, 56)(6, 54, 10, 58)(7, 55, 11, 59)(9, 57, 13, 61)(12, 60, 16, 64)(14, 62, 18, 66)(15, 63, 19, 67)(17, 65, 21, 69)(20, 68, 24, 72)(22, 70, 26, 74)(23, 71, 27, 75)(25, 73, 29, 77)(28, 76, 32, 80)(30, 78, 34, 82)(31, 79, 35, 83)(33, 81, 37, 85)(36, 84, 40, 88)(38, 86, 42, 90)(39, 87, 43, 91)(41, 89, 45, 93)(44, 92, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 103, 151)(102, 150, 105, 153)(104, 152, 107, 155)(106, 154, 109, 157)(108, 156, 111, 159)(110, 158, 113, 161)(112, 160, 115, 163)(114, 162, 117, 165)(116, 164, 119, 167)(118, 166, 121, 169)(120, 168, 123, 171)(122, 170, 125, 173)(124, 172, 127, 175)(126, 174, 129, 177)(128, 176, 131, 179)(130, 178, 133, 181)(132, 180, 135, 183)(134, 182, 137, 185)(136, 184, 139, 187)(138, 186, 141, 189)(140, 188, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 102)(3, 103)(4, 97)(5, 105)(6, 98)(7, 99)(8, 108)(9, 101)(10, 110)(11, 111)(12, 104)(13, 113)(14, 106)(15, 107)(16, 116)(17, 109)(18, 118)(19, 119)(20, 112)(21, 121)(22, 114)(23, 115)(24, 124)(25, 117)(26, 126)(27, 127)(28, 120)(29, 129)(30, 122)(31, 123)(32, 132)(33, 125)(34, 134)(35, 135)(36, 128)(37, 137)(38, 130)(39, 131)(40, 140)(41, 133)(42, 142)(43, 143)(44, 136)(45, 144)(46, 138)(47, 139)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.481
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, 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 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
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, 44, 92)(37, 85, 45, 93)(40, 88, 48, 96)(42, 90, 46, 94)(43, 91, 47, 95)(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, 141, 189)(136, 184, 142, 190)(139, 187, 144, 192)(140, 188, 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, 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, 142)(39, 143)(40, 128)(41, 144)(42, 130)(43, 131)(44, 141)(45, 140)(46, 134)(47, 135)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.483
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, (Y1 * Y3^-1 * Y1 * Y3)^3 ]
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, 43, 91)(40, 88, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(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, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.484
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, (Y2 * Y1)^6, (Y3 * Y1)^12 ]
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, 44, 92)(40, 88, 46, 94)(41, 89, 45, 93)(42, 90, 47, 95)(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, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.482
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, 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 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y1 * Y3^-1 * Y1 * Y3)^3 ]
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, 43, 91)(40, 88, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(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, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.485
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.481 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53)(3, 51, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 44, 92, 38, 86, 30, 78, 22, 70, 14, 62, 7, 55)(4, 52, 11, 59, 19, 67, 27, 75, 35, 83, 43, 91, 45, 93, 39, 87, 31, 79, 23, 71, 15, 63, 8, 56)(10, 58, 16, 64, 24, 72, 32, 80, 40, 88, 46, 94, 48, 96, 47, 95, 42, 90, 34, 82, 26, 74, 18, 66)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 105, 153)(102, 150, 110, 158)(104, 152, 112, 160)(107, 155, 114, 162)(108, 156, 113, 161)(109, 157, 118, 166)(111, 159, 120, 168)(115, 163, 122, 170)(116, 164, 121, 169)(117, 165, 126, 174)(119, 167, 128, 176)(123, 171, 130, 178)(124, 172, 129, 177)(125, 173, 134, 182)(127, 175, 136, 184)(131, 179, 138, 186)(132, 180, 137, 185)(133, 181, 140, 188)(135, 183, 142, 190)(139, 187, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 107)(6, 111)(7, 112)(8, 98)(9, 114)(10, 99)(11, 101)(12, 115)(13, 119)(14, 120)(15, 102)(16, 103)(17, 122)(18, 105)(19, 108)(20, 123)(21, 127)(22, 128)(23, 109)(24, 110)(25, 130)(26, 113)(27, 116)(28, 131)(29, 135)(30, 136)(31, 117)(32, 118)(33, 138)(34, 121)(35, 124)(36, 139)(37, 141)(38, 142)(39, 125)(40, 126)(41, 143)(42, 129)(43, 132)(44, 144)(45, 133)(46, 134)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.476
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 4^24, 24^4 ]

E11.482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y1^-2 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 30, 78, 24, 72, 38, 86, 21, 69, 35, 83, 29, 77, 14, 62, 5, 53)(3, 51, 9, 57, 16, 64, 33, 81, 28, 76, 13, 61, 20, 68, 7, 55, 18, 66, 31, 79, 25, 73, 11, 59)(4, 52, 12, 60, 26, 74, 42, 90, 47, 95, 39, 87, 48, 96, 41, 89, 44, 92, 32, 80, 17, 65, 8, 56)(10, 58, 23, 71, 40, 88, 45, 93, 36, 84, 19, 67, 37, 85, 27, 75, 43, 91, 46, 94, 34, 82, 22, 70)(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, 127, 175)(113, 161, 130, 178)(114, 162, 131, 179)(116, 164, 134, 182)(118, 166, 135, 183)(119, 167, 137, 185)(122, 170, 136, 184)(124, 172, 126, 174)(125, 173, 129, 177)(128, 176, 141, 189)(132, 180, 143, 191)(133, 181, 144, 192)(138, 186, 142, 190)(139, 187, 140, 188)
	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, 128)(16, 130)(17, 102)(18, 132)(19, 103)(20, 133)(21, 135)(22, 105)(23, 107)(24, 137)(25, 136)(26, 110)(27, 109)(28, 139)(29, 138)(30, 140)(31, 141)(32, 111)(33, 142)(34, 112)(35, 143)(36, 114)(37, 116)(38, 144)(39, 117)(40, 121)(41, 120)(42, 125)(43, 124)(44, 126)(45, 127)(46, 129)(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 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.479
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 4^24, 24^4 ]

E11.483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1^2 * Y2)^2, (Y2 * Y1^-1)^4, Y2 * Y1^3 * Y2 * Y1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 30, 78, 22, 70, 35, 83, 25, 73, 38, 86, 29, 77, 14, 62, 5, 53)(3, 51, 9, 57, 21, 69, 31, 79, 20, 68, 7, 55, 18, 66, 13, 61, 28, 76, 34, 82, 16, 64, 11, 59)(4, 52, 12, 60, 26, 74, 42, 90, 48, 96, 41, 89, 47, 95, 40, 88, 44, 92, 32, 80, 17, 65, 8, 56)(10, 58, 24, 72, 33, 81, 46, 94, 43, 91, 27, 75, 36, 84, 19, 67, 37, 85, 45, 93, 39, 87, 23, 71)(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, 127, 175)(113, 161, 129, 177)(114, 162, 131, 179)(116, 164, 134, 182)(119, 167, 136, 184)(120, 168, 137, 185)(122, 170, 135, 183)(124, 172, 126, 174)(125, 173, 130, 178)(128, 176, 141, 189)(132, 180, 143, 191)(133, 181, 144, 192)(138, 186, 142, 190)(139, 187, 140, 188)
	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, 128)(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, 141)(32, 111)(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, 127)(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 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.477
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 4^24, 24^4 ]

E11.484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^6, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 33, 81, 30, 78, 15, 63, 24, 72, 39, 87, 32, 80, 17, 65, 5, 53)(3, 51, 11, 59, 25, 73, 41, 89, 48, 96, 40, 88, 28, 76, 44, 92, 45, 93, 34, 82, 19, 67, 8, 56)(4, 52, 14, 62, 29, 77, 35, 83, 21, 69, 9, 57, 6, 54, 16, 64, 31, 79, 36, 84, 20, 68, 10, 58)(12, 60, 23, 71, 37, 85, 47, 95, 43, 91, 26, 74, 13, 61, 22, 70, 38, 86, 46, 94, 42, 90, 27, 75)(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, 130, 178)(116, 164, 134, 182)(117, 165, 133, 181)(120, 168, 136, 184)(125, 173, 139, 187)(126, 174, 140, 188)(127, 175, 138, 186)(128, 176, 137, 185)(129, 177, 141, 189)(131, 179, 143, 191)(132, 180, 142, 190)(135, 183, 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, 131)(19, 133)(20, 135)(21, 103)(22, 136)(23, 104)(24, 106)(25, 138)(26, 140)(27, 107)(28, 109)(29, 129)(30, 110)(31, 113)(32, 132)(33, 127)(34, 142)(35, 128)(36, 114)(37, 144)(38, 115)(39, 117)(40, 119)(41, 143)(42, 141)(43, 121)(44, 123)(45, 139)(46, 137)(47, 130)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.478
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 4^24, 24^4 ]

E11.485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y3^4, Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, (Y1^2 * Y2)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^-2 * Y2 * Y1 * Y2 * Y1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 37, 85, 30, 78, 16, 64, 28, 76, 44, 92, 36, 84, 19, 67, 5, 53)(3, 51, 11, 59, 29, 77, 38, 86, 26, 74, 8, 56, 24, 72, 17, 65, 34, 82, 42, 90, 21, 69, 13, 61)(4, 52, 15, 63, 33, 81, 39, 87, 23, 71, 9, 57, 6, 54, 18, 66, 35, 83, 40, 88, 22, 70, 10, 58)(12, 60, 25, 73, 41, 89, 47, 95, 46, 94, 31, 79, 14, 62, 27, 75, 43, 91, 48, 96, 45, 93, 32, 80)(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, 134, 182)(118, 166, 139, 187)(119, 167, 137, 185)(122, 170, 140, 188)(129, 177, 142, 190)(130, 178, 133, 181)(131, 179, 141, 189)(132, 180, 138, 186)(135, 183, 144, 192)(136, 184, 143, 191)
	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, 135)(21, 137)(22, 140)(23, 103)(24, 110)(25, 109)(26, 139)(27, 104)(28, 106)(29, 141)(30, 111)(31, 113)(32, 107)(33, 133)(34, 142)(35, 115)(36, 136)(37, 131)(38, 143)(39, 132)(40, 116)(41, 122)(42, 144)(43, 117)(44, 119)(45, 130)(46, 125)(47, 138)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.480
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 4^24, 24^4 ]

E11.486 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = C4 x (C3 : C4) (small group id <48, 11>)
Aut   = (C6 x D8) : C2 (small group id <96, 147>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1^-1 * T2^2 * T1, (T2 * T1^-1)^4, T2 * T1 * T2^-5 * T1^-1, (T2^-1 * T1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 41, 21, 40, 23, 43, 34, 16, 5)(2, 7, 20, 39, 26, 9, 25, 14, 32, 44, 24, 8)(4, 12, 31, 45, 30, 11, 29, 15, 33, 46, 28, 13)(6, 17, 35, 47, 38, 19, 37, 22, 42, 48, 36, 18)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 66, 63)(55, 67, 60, 69)(56, 70, 61, 71)(58, 72, 83, 76)(64, 68, 84, 79)(73, 85, 77, 88)(74, 90, 78, 91)(75, 87, 95, 93)(80, 86, 81, 89)(82, 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 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.487
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.487 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = C4 x (C3 : C4) (small group id <48, 11>)
Aut   = (C6 x D8) : C2 (small group id <96, 147>)
|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^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^12 ]
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, 93)(42, 94)(43, 95)(44, 96)(45, 91)(46, 92)(47, 89)(48, 90)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.486
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x (C3 : C4) (small group id <48, 11>)
Aut   = (C6 x D8) : C2 (small group id <96, 147>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y1^-1 * Y2^2 * Y1 * Y2^2, Y2^3 * Y1 * Y2^-3 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (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, 35, 83, 28, 76)(16, 64, 20, 68, 36, 84, 31, 79)(25, 73, 37, 85, 29, 77, 40, 88)(26, 74, 42, 90, 30, 78, 43, 91)(27, 75, 39, 87, 47, 95, 45, 93)(32, 80, 38, 86, 33, 81, 41, 89)(34, 82, 44, 92, 48, 96, 46, 94)(97, 145, 99, 147, 106, 154, 123, 171, 137, 185, 117, 165, 136, 184, 119, 167, 139, 187, 130, 178, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 135, 183, 122, 170, 105, 153, 121, 169, 110, 158, 128, 176, 140, 188, 120, 168, 104, 152)(100, 148, 108, 156, 127, 175, 141, 189, 126, 174, 107, 155, 125, 173, 111, 159, 129, 177, 142, 190, 124, 172, 109, 157)(102, 150, 113, 161, 131, 179, 143, 191, 134, 182, 115, 163, 133, 181, 118, 166, 138, 186, 144, 192, 132, 180, 114, 162)
	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, 131)(18, 102)(19, 133)(20, 135)(21, 136)(22, 138)(23, 139)(24, 104)(25, 110)(26, 105)(27, 137)(28, 109)(29, 111)(30, 107)(31, 141)(32, 140)(33, 142)(34, 112)(35, 143)(36, 114)(37, 118)(38, 115)(39, 122)(40, 119)(41, 117)(42, 144)(43, 130)(44, 120)(45, 126)(46, 124)(47, 134)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E11.489
Graph:: bipartite
	v = 16 e = 96 f = 60
	degree seq :: [ 8^12, 24^4 ]

E11.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x (C3 : C4) (small group id <48, 11>)
Aut   = (C6 x D8) : C2 (small group id <96, 147>)
|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^-2 * Y2^-1 * Y3^-2 * Y2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3^-5 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 100, 148)(99, 147, 105, 153, 113, 161, 107, 155)(101, 149, 110, 158, 114, 162, 111, 159)(103, 151, 115, 163, 108, 156, 117, 165)(104, 152, 118, 166, 109, 157, 119, 167)(106, 154, 120, 168, 131, 179, 124, 172)(112, 160, 116, 164, 132, 180, 127, 175)(121, 169, 133, 181, 125, 173, 136, 184)(122, 170, 138, 186, 126, 174, 139, 187)(123, 171, 135, 183, 143, 191, 141, 189)(128, 176, 134, 182, 129, 177, 137, 185)(130, 178, 140, 188, 144, 192, 142, 190)
	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, 131)(18, 102)(19, 133)(20, 135)(21, 136)(22, 138)(23, 139)(24, 104)(25, 110)(26, 105)(27, 137)(28, 109)(29, 111)(30, 107)(31, 141)(32, 140)(33, 142)(34, 112)(35, 143)(36, 114)(37, 118)(38, 115)(39, 122)(40, 119)(41, 117)(42, 144)(43, 130)(44, 120)(45, 126)(46, 124)(47, 134)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.488
Graph:: simple bipartite
	v = 60 e = 96 f = 16
	degree seq :: [ 2^48, 8^12 ]

E11.490 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^-2 * T1^-1, (T1 * T2^-1 * T1 * T2)^3, T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 25, 13)(6, 16, 28, 17)(9, 23, 14, 24)(11, 26, 15, 27)(18, 29, 21, 30)(20, 31, 22, 32)(33, 41, 35, 42)(34, 43, 36, 44)(37, 45, 39, 46)(38, 47, 40, 48)(49, 50, 54, 52)(51, 57, 64, 59)(53, 62, 65, 63)(55, 66, 60, 68)(56, 69, 61, 70)(58, 67, 76, 73)(71, 81, 74, 82)(72, 83, 75, 84)(77, 85, 79, 86)(78, 87, 80, 88)(89, 95, 91, 93)(90, 96, 92, 94)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E11.495
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 48 f = 4
	degree seq :: [ 4^24 ]

E11.491 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, (T2 * T1^-1)^4, T2^3 * T1^-1 * T2^-3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 38, 19, 37, 22, 42, 34, 16, 5)(2, 7, 20, 39, 30, 11, 29, 15, 33, 44, 24, 8)(4, 12, 31, 45, 26, 9, 25, 14, 32, 46, 28, 13)(6, 17, 35, 47, 41, 21, 40, 23, 43, 48, 36, 18)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 66, 63)(55, 67, 60, 69)(56, 70, 61, 71)(58, 72, 83, 76)(64, 68, 84, 79)(73, 85, 77, 88)(74, 90, 78, 91)(75, 93, 95, 87)(80, 86, 81, 89)(82, 94, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.493
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.492 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T1 * T2^-2 * T1^-1 * T2^-2, (T2 * T1^-1)^4, T1^-1 * T2^-6 * T1^-1, (T2^-1 * T1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 36, 18, 6, 17, 35, 34, 16, 5)(2, 7, 20, 39, 28, 13, 4, 12, 31, 44, 24, 8)(9, 25, 14, 32, 46, 30, 11, 29, 15, 33, 45, 26)(19, 37, 22, 42, 48, 41, 21, 40, 23, 43, 47, 38)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 66, 63)(55, 67, 60, 69)(56, 70, 61, 71)(58, 72, 83, 76)(64, 68, 84, 79)(73, 85, 77, 88)(74, 90, 78, 91)(75, 93, 82, 94)(80, 86, 81, 89)(87, 95, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.494
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.493 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^-2 * T1^-1, (T1 * T2^-1 * T1 * T2)^3, T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: 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, 95)(42, 96)(43, 93)(44, 94)(45, 89)(46, 90)(47, 91)(48, 92)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.491
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.494 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T1 * T2 * T1^2 * T2^-1 * T1, T2^-2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 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, 94)(42, 93)(43, 96)(44, 95)(45, 92)(46, 91)(47, 90)(48, 89)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.492
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.495 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, (T2 * T1^-1)^4, T2^3 * T1^-1 * T2^-3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 27, 75, 38, 86, 19, 67, 37, 85, 22, 70, 42, 90, 34, 82, 16, 64, 5, 53)(2, 50, 7, 55, 20, 68, 39, 87, 30, 78, 11, 59, 29, 77, 15, 63, 33, 81, 44, 92, 24, 72, 8, 56)(4, 52, 12, 60, 31, 79, 45, 93, 26, 74, 9, 57, 25, 73, 14, 62, 32, 80, 46, 94, 28, 76, 13, 61)(6, 54, 17, 65, 35, 83, 47, 95, 41, 89, 21, 69, 40, 88, 23, 71, 43, 91, 48, 96, 36, 84, 18, 66)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 67)(8, 70)(9, 65)(10, 72)(11, 51)(12, 69)(13, 71)(14, 66)(15, 53)(16, 68)(17, 59)(18, 63)(19, 60)(20, 84)(21, 55)(22, 61)(23, 56)(24, 83)(25, 85)(26, 90)(27, 93)(28, 58)(29, 88)(30, 91)(31, 64)(32, 86)(33, 89)(34, 94)(35, 76)(36, 79)(37, 77)(38, 81)(39, 75)(40, 73)(41, 80)(42, 78)(43, 74)(44, 82)(45, 95)(46, 96)(47, 87)(48, 92)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.490
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 24
	degree seq :: [ 24^4 ]

E11.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^4, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 16, 64, 11, 59)(5, 53, 14, 62, 17, 65, 15, 63)(7, 55, 18, 66, 12, 60, 20, 68)(8, 56, 21, 69, 13, 61, 22, 70)(10, 58, 19, 67, 28, 76, 25, 73)(23, 71, 33, 81, 26, 74, 34, 82)(24, 72, 35, 83, 27, 75, 36, 84)(29, 77, 37, 85, 31, 79, 38, 86)(30, 78, 39, 87, 32, 80, 40, 88)(41, 89, 46, 94, 43, 91, 48, 96)(42, 90, 45, 93, 44, 92, 47, 95)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 103, 151, 115, 163, 104, 152)(100, 148, 108, 156, 121, 169, 109, 157)(102, 150, 112, 160, 124, 172, 113, 161)(105, 153, 119, 167, 110, 158, 120, 168)(107, 155, 122, 170, 111, 159, 123, 171)(114, 162, 125, 173, 117, 165, 126, 174)(116, 164, 127, 175, 118, 166, 128, 176)(129, 177, 137, 185, 131, 179, 138, 186)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 135, 183, 142, 190)(134, 182, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 97)(3, 107)(4, 102)(5, 111)(6, 98)(7, 116)(8, 118)(9, 99)(10, 121)(11, 112)(12, 114)(13, 117)(14, 101)(15, 113)(16, 105)(17, 110)(18, 103)(19, 106)(20, 108)(21, 104)(22, 109)(23, 130)(24, 132)(25, 124)(26, 129)(27, 131)(28, 115)(29, 134)(30, 136)(31, 133)(32, 135)(33, 119)(34, 122)(35, 120)(36, 123)(37, 125)(38, 127)(39, 126)(40, 128)(41, 144)(42, 143)(43, 142)(44, 141)(45, 138)(46, 137)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.501
Graph:: bipartite
	v = 24 e = 96 f = 52
	degree seq :: [ 8^24 ]

E11.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-2 * Y1^-1 * Y2^-2 * Y1, Y2^4 * Y1 * Y2^-2 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (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, 35, 83, 28, 76)(16, 64, 20, 68, 36, 84, 31, 79)(25, 73, 37, 85, 29, 77, 40, 88)(26, 74, 42, 90, 30, 78, 43, 91)(27, 75, 45, 93, 34, 82, 46, 94)(32, 80, 38, 86, 33, 81, 41, 89)(39, 87, 47, 95, 44, 92, 48, 96)(97, 145, 99, 147, 106, 154, 123, 171, 132, 180, 114, 162, 102, 150, 113, 161, 131, 179, 130, 178, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 135, 183, 124, 172, 109, 157, 100, 148, 108, 156, 127, 175, 140, 188, 120, 168, 104, 152)(105, 153, 121, 169, 110, 158, 128, 176, 142, 190, 126, 174, 107, 155, 125, 173, 111, 159, 129, 177, 141, 189, 122, 170)(115, 163, 133, 181, 118, 166, 138, 186, 144, 192, 137, 185, 117, 165, 136, 184, 119, 167, 139, 187, 143, 191, 134, 182)
	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, 131)(18, 102)(19, 133)(20, 135)(21, 136)(22, 138)(23, 139)(24, 104)(25, 110)(26, 105)(27, 132)(28, 109)(29, 111)(30, 107)(31, 140)(32, 142)(33, 141)(34, 112)(35, 130)(36, 114)(37, 118)(38, 115)(39, 124)(40, 119)(41, 117)(42, 144)(43, 143)(44, 120)(45, 122)(46, 126)(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, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E11.499
Graph:: bipartite
	v = 16 e = 96 f = 60
	degree seq :: [ 8^12, 24^4 ]

E11.498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2 * Y1^-2 * Y2^-1, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^3 * Y1^-1 * Y2^-3 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (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, 35, 83, 28, 76)(16, 64, 20, 68, 36, 84, 31, 79)(25, 73, 37, 85, 29, 77, 40, 88)(26, 74, 42, 90, 30, 78, 43, 91)(27, 75, 45, 93, 47, 95, 39, 87)(32, 80, 38, 86, 33, 81, 41, 89)(34, 82, 46, 94, 48, 96, 44, 92)(97, 145, 99, 147, 106, 154, 123, 171, 134, 182, 115, 163, 133, 181, 118, 166, 138, 186, 130, 178, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 135, 183, 126, 174, 107, 155, 125, 173, 111, 159, 129, 177, 140, 188, 120, 168, 104, 152)(100, 148, 108, 156, 127, 175, 141, 189, 122, 170, 105, 153, 121, 169, 110, 158, 128, 176, 142, 190, 124, 172, 109, 157)(102, 150, 113, 161, 131, 179, 143, 191, 137, 185, 117, 165, 136, 184, 119, 167, 139, 187, 144, 192, 132, 180, 114, 162)
	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, 131)(18, 102)(19, 133)(20, 135)(21, 136)(22, 138)(23, 139)(24, 104)(25, 110)(26, 105)(27, 134)(28, 109)(29, 111)(30, 107)(31, 141)(32, 142)(33, 140)(34, 112)(35, 143)(36, 114)(37, 118)(38, 115)(39, 126)(40, 119)(41, 117)(42, 130)(43, 144)(44, 120)(45, 122)(46, 124)(47, 137)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E11.500
Graph:: bipartite
	v = 16 e = 96 f = 60
	degree seq :: [ 8^12, 24^4 ]

E11.499 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-2, Y3^-2 * Y2^-1 * Y3^-2 * Y2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y2 * Y3 * Y2^-1)^2, Y3^3 * Y2^-1 * Y3^-3 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 100, 148)(99, 147, 105, 153, 113, 161, 107, 155)(101, 149, 110, 158, 114, 162, 111, 159)(103, 151, 115, 163, 108, 156, 117, 165)(104, 152, 118, 166, 109, 157, 119, 167)(106, 154, 120, 168, 131, 179, 124, 172)(112, 160, 116, 164, 132, 180, 127, 175)(121, 169, 133, 181, 125, 173, 136, 184)(122, 170, 138, 186, 126, 174, 139, 187)(123, 171, 141, 189, 143, 191, 135, 183)(128, 176, 134, 182, 129, 177, 137, 185)(130, 178, 142, 190, 144, 192, 140, 188)
	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, 131)(18, 102)(19, 133)(20, 135)(21, 136)(22, 138)(23, 139)(24, 104)(25, 110)(26, 105)(27, 134)(28, 109)(29, 111)(30, 107)(31, 141)(32, 142)(33, 140)(34, 112)(35, 143)(36, 114)(37, 118)(38, 115)(39, 126)(40, 119)(41, 117)(42, 130)(43, 144)(44, 120)(45, 122)(46, 124)(47, 137)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.497
Graph:: simple bipartite
	v = 60 e = 96 f = 16
	degree seq :: [ 2^48, 8^12 ]

E11.500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^2 * Y2^-1 * Y3^2 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y2^-1 * Y3^-6 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 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, 131, 179, 124, 172)(112, 160, 116, 164, 132, 180, 127, 175)(121, 169, 133, 181, 125, 173, 136, 184)(122, 170, 138, 186, 126, 174, 139, 187)(123, 171, 141, 189, 130, 178, 142, 190)(128, 176, 134, 182, 129, 177, 137, 185)(135, 183, 143, 191, 140, 188, 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, 131)(18, 102)(19, 133)(20, 135)(21, 136)(22, 138)(23, 139)(24, 104)(25, 110)(26, 105)(27, 132)(28, 109)(29, 111)(30, 107)(31, 140)(32, 142)(33, 141)(34, 112)(35, 130)(36, 114)(37, 118)(38, 115)(39, 124)(40, 119)(41, 117)(42, 144)(43, 143)(44, 120)(45, 122)(46, 126)(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) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.498
Graph:: simple bipartite
	v = 60 e = 96 f = 16
	degree seq :: [ 2^48, 8^12 ]

E11.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) : C4 (small group id <48, 12>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y3 * Y1^-3 * Y3 * Y1^3, (Y1^-1 * Y3 * Y1^-1 * Y3^-1)^2, (Y3 * Y1^-1)^4, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 26, 74, 41, 89, 29, 77, 43, 91, 32, 80, 13, 61, 4, 52)(3, 51, 9, 57, 25, 73, 37, 85, 24, 72, 8, 56, 23, 71, 14, 62, 34, 82, 39, 87, 18, 66, 11, 59)(5, 53, 15, 63, 33, 81, 36, 84, 22, 70, 7, 55, 20, 68, 12, 60, 31, 79, 40, 88, 19, 67, 16, 64)(10, 58, 21, 69, 38, 86, 47, 95, 46, 94, 27, 75, 42, 90, 30, 78, 44, 92, 48, 96, 45, 93, 28, 76)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 114)(7, 117)(8, 98)(9, 122)(10, 101)(11, 125)(12, 124)(13, 121)(14, 100)(15, 123)(16, 126)(17, 132)(18, 134)(19, 102)(20, 137)(21, 104)(22, 139)(23, 138)(24, 140)(25, 141)(26, 111)(27, 105)(28, 110)(29, 112)(30, 107)(31, 131)(32, 136)(33, 109)(34, 142)(35, 130)(36, 143)(37, 113)(38, 115)(39, 128)(40, 144)(41, 119)(42, 116)(43, 120)(44, 118)(45, 129)(46, 127)(47, 133)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E11.496
Graph:: simple bipartite
	v = 52 e = 96 f = 24
	degree seq :: [ 2^48, 24^4 ]

E11.502 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = C12 : C4 (small group id <48, 13>)
Aut   = (C12 x C2 x C2) : C2 (small group id <96, 137>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1 * T2 * T1^-1, T2^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 46, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 47, 42, 34, 26, 18, 10)(6, 13, 21, 29, 37, 44, 48, 45, 38, 30, 22, 14)(49, 50, 54, 52)(51, 56, 61, 58)(53, 55, 62, 59)(57, 64, 69, 66)(60, 63, 70, 67)(65, 72, 77, 74)(68, 71, 78, 75)(73, 80, 85, 82)(76, 79, 86, 83)(81, 88, 92, 90)(84, 87, 93, 91)(89, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.503
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 4^12, 12^4 ]

E11.503 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = C12 : C4 (small group id <48, 13>)
Aut   = (C12 x C2 x C2) : C2 (small group id <96, 137>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, T2^-2 * T1^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1)^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 6, 54, 5, 53)(2, 50, 7, 55, 4, 52, 8, 56)(9, 57, 13, 61, 10, 58, 14, 62)(11, 59, 15, 63, 12, 60, 16, 64)(17, 65, 21, 69, 18, 66, 22, 70)(19, 67, 23, 71, 20, 68, 24, 72)(25, 73, 29, 77, 26, 74, 30, 78)(27, 75, 31, 79, 28, 76, 32, 80)(33, 81, 37, 85, 34, 82, 38, 86)(35, 83, 39, 87, 36, 84, 40, 88)(41, 89, 45, 93, 42, 90, 46, 94)(43, 91, 47, 95, 44, 92, 48, 96)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 58)(6, 52)(7, 59)(8, 60)(9, 53)(10, 51)(11, 56)(12, 55)(13, 65)(14, 66)(15, 67)(16, 68)(17, 62)(18, 61)(19, 64)(20, 63)(21, 73)(22, 74)(23, 75)(24, 76)(25, 70)(26, 69)(27, 72)(28, 71)(29, 81)(30, 82)(31, 83)(32, 84)(33, 78)(34, 77)(35, 80)(36, 79)(37, 89)(38, 90)(39, 91)(40, 92)(41, 86)(42, 85)(43, 88)(44, 87)(45, 95)(46, 96)(47, 94)(48, 93)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.502
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C12 : C4 (small group id <48, 13>)
Aut   = (C12 x C2 x C2) : C2 (small group id <96, 137>)
|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, Y2^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 8, 56, 13, 61, 10, 58)(5, 53, 7, 55, 14, 62, 11, 59)(9, 57, 16, 64, 21, 69, 18, 66)(12, 60, 15, 63, 22, 70, 19, 67)(17, 65, 24, 72, 29, 77, 26, 74)(20, 68, 23, 71, 30, 78, 27, 75)(25, 73, 32, 80, 37, 85, 34, 82)(28, 76, 31, 79, 38, 86, 35, 83)(33, 81, 40, 88, 44, 92, 42, 90)(36, 84, 39, 87, 45, 93, 43, 91)(41, 89, 46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149)(98, 146, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 142, 190, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)(100, 148, 107, 155, 115, 163, 123, 171, 131, 179, 139, 187, 143, 191, 138, 186, 130, 178, 122, 170, 114, 162, 106, 154)(102, 150, 109, 157, 117, 165, 125, 173, 133, 181, 140, 188, 144, 192, 141, 189, 134, 182, 126, 174, 118, 166, 110, 158)
	L = (1, 99)(2, 103)(3, 105)(4, 107)(5, 97)(6, 109)(7, 111)(8, 98)(9, 113)(10, 100)(11, 115)(12, 101)(13, 117)(14, 102)(15, 119)(16, 104)(17, 121)(18, 106)(19, 123)(20, 108)(21, 125)(22, 110)(23, 127)(24, 112)(25, 129)(26, 114)(27, 131)(28, 116)(29, 133)(30, 118)(31, 135)(32, 120)(33, 137)(34, 122)(35, 139)(36, 124)(37, 140)(38, 126)(39, 142)(40, 128)(41, 132)(42, 130)(43, 143)(44, 144)(45, 134)(46, 136)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E11.505
Graph:: bipartite
	v = 16 e = 96 f = 60
	degree seq :: [ 8^12, 24^4 ]

E11.505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C12 : C4 (small group id <48, 13>)
Aut   = (C12 x C2 x C2) : C2 (small group id <96, 137>)
|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, Y3^5 * Y2 * Y3^-7 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 100, 148)(99, 147, 104, 152, 109, 157, 106, 154)(101, 149, 103, 151, 110, 158, 107, 155)(105, 153, 112, 160, 117, 165, 114, 162)(108, 156, 111, 159, 118, 166, 115, 163)(113, 161, 120, 168, 125, 173, 122, 170)(116, 164, 119, 167, 126, 174, 123, 171)(121, 169, 128, 176, 133, 181, 130, 178)(124, 172, 127, 175, 134, 182, 131, 179)(129, 177, 136, 184, 140, 188, 138, 186)(132, 180, 135, 183, 141, 189, 139, 187)(137, 185, 142, 190, 144, 192, 143, 191)
	L = (1, 99)(2, 103)(3, 105)(4, 107)(5, 97)(6, 109)(7, 111)(8, 98)(9, 113)(10, 100)(11, 115)(12, 101)(13, 117)(14, 102)(15, 119)(16, 104)(17, 121)(18, 106)(19, 123)(20, 108)(21, 125)(22, 110)(23, 127)(24, 112)(25, 129)(26, 114)(27, 131)(28, 116)(29, 133)(30, 118)(31, 135)(32, 120)(33, 137)(34, 122)(35, 139)(36, 124)(37, 140)(38, 126)(39, 142)(40, 128)(41, 132)(42, 130)(43, 143)(44, 144)(45, 134)(46, 136)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.504
Graph:: simple bipartite
	v = 60 e = 96 f = 16
	degree seq :: [ 2^48, 8^12 ]

E11.506 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 24, 24})
Quotient :: regular
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^24 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 48, 47, 43, 39, 35, 31, 27, 23, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 48)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.507 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 24, 24})
Quotient :: edge
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^24 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 48, 46, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6)(49, 50)(51, 53)(52, 54)(55, 57)(56, 58)(59, 61)(60, 62)(63, 65)(64, 66)(67, 69)(68, 70)(71, 73)(72, 74)(75, 77)(76, 78)(79, 81)(80, 82)(83, 85)(84, 86)(87, 89)(88, 90)(91, 93)(92, 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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E11.508
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 48 f = 2
	degree seq :: [ 2^24, 24^2 ]

E11.508 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 24, 24})
Quotient :: loop
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^24 ]
Map::
	R = (1, 49, 3, 51, 7, 55, 11, 59, 15, 63, 19, 67, 23, 71, 27, 75, 31, 79, 35, 83, 39, 87, 43, 91, 47, 95, 44, 92, 40, 88, 36, 84, 32, 80, 28, 76, 24, 72, 20, 68, 16, 64, 12, 60, 8, 56, 4, 52)(2, 50, 5, 53, 9, 57, 13, 61, 17, 65, 21, 69, 25, 73, 29, 77, 33, 81, 37, 85, 41, 89, 45, 93, 48, 96, 46, 94, 42, 90, 38, 86, 34, 82, 30, 78, 26, 74, 22, 70, 18, 66, 14, 62, 10, 58, 6, 54)
	L = (1, 50)(2, 49)(3, 53)(4, 54)(5, 51)(6, 52)(7, 57)(8, 58)(9, 55)(10, 56)(11, 61)(12, 62)(13, 59)(14, 60)(15, 65)(16, 66)(17, 63)(18, 64)(19, 69)(20, 70)(21, 67)(22, 68)(23, 73)(24, 74)(25, 71)(26, 72)(27, 77)(28, 78)(29, 75)(30, 76)(31, 81)(32, 82)(33, 79)(34, 80)(35, 85)(36, 86)(37, 83)(38, 84)(39, 89)(40, 90)(41, 87)(42, 88)(43, 93)(44, 94)(45, 91)(46, 92)(47, 96)(48, 95)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E11.507
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 26
	degree seq :: [ 48^2 ]

E11.509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^24, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 5, 53)(4, 52, 6, 54)(7, 55, 9, 57)(8, 56, 10, 58)(11, 59, 13, 61)(12, 60, 14, 62)(15, 63, 17, 65)(16, 64, 18, 66)(19, 67, 21, 69)(20, 68, 22, 70)(23, 71, 25, 73)(24, 72, 26, 74)(27, 75, 29, 77)(28, 76, 30, 78)(31, 79, 33, 81)(32, 80, 34, 82)(35, 83, 37, 85)(36, 84, 38, 86)(39, 87, 41, 89)(40, 88, 42, 90)(43, 91, 45, 93)(44, 92, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 103, 151, 107, 155, 111, 159, 115, 163, 119, 167, 123, 171, 127, 175, 131, 179, 135, 183, 139, 187, 143, 191, 140, 188, 136, 184, 132, 180, 128, 176, 124, 172, 120, 168, 116, 164, 112, 160, 108, 156, 104, 152, 100, 148)(98, 146, 101, 149, 105, 153, 109, 157, 113, 161, 117, 165, 121, 169, 125, 173, 129, 177, 133, 181, 137, 185, 141, 189, 144, 192, 142, 190, 138, 186, 134, 182, 130, 178, 126, 174, 122, 170, 118, 166, 114, 162, 110, 158, 106, 154, 102, 150)
	L = (1, 98)(2, 97)(3, 101)(4, 102)(5, 99)(6, 100)(7, 105)(8, 106)(9, 103)(10, 104)(11, 109)(12, 110)(13, 107)(14, 108)(15, 113)(16, 114)(17, 111)(18, 112)(19, 117)(20, 118)(21, 115)(22, 116)(23, 121)(24, 122)(25, 119)(26, 120)(27, 125)(28, 126)(29, 123)(30, 124)(31, 129)(32, 130)(33, 127)(34, 128)(35, 133)(36, 134)(37, 131)(38, 132)(39, 137)(40, 138)(41, 135)(42, 136)(43, 141)(44, 142)(45, 139)(46, 140)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 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 E11.510
Graph:: bipartite
	v = 26 e = 96 f = 50
	degree seq :: [ 4^24, 48^2 ]

E11.510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-24, Y1^24 ]
Map::
	R = (1, 49, 2, 50, 5, 53, 9, 57, 13, 61, 17, 65, 21, 69, 25, 73, 29, 77, 33, 81, 37, 85, 41, 89, 45, 93, 44, 92, 40, 88, 36, 84, 32, 80, 28, 76, 24, 72, 20, 68, 16, 64, 12, 60, 8, 56, 4, 52)(3, 51, 6, 54, 10, 58, 14, 62, 18, 66, 22, 70, 26, 74, 30, 78, 34, 82, 38, 86, 42, 90, 46, 94, 48, 96, 47, 95, 43, 91, 39, 87, 35, 83, 31, 79, 27, 75, 23, 71, 19, 67, 15, 63, 11, 59, 7, 55)(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, 103)(5, 106)(6, 98)(7, 100)(8, 107)(9, 110)(10, 101)(11, 104)(12, 111)(13, 114)(14, 105)(15, 108)(16, 115)(17, 118)(18, 109)(19, 112)(20, 119)(21, 122)(22, 113)(23, 116)(24, 123)(25, 126)(26, 117)(27, 120)(28, 127)(29, 130)(30, 121)(31, 124)(32, 131)(33, 134)(34, 125)(35, 128)(36, 135)(37, 138)(38, 129)(39, 132)(40, 139)(41, 142)(42, 133)(43, 136)(44, 143)(45, 144)(46, 137)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.509
Graph:: simple bipartite
	v = 50 e = 96 f = 26
	degree seq :: [ 2^48, 48^2 ]

E11.511 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 24, 24})
Quotient :: regular
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-2 * T2, (T1 * T2 * T1^-1 * T2)^2, T2 * T1 * T2 * T1^11 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 41, 33, 25, 16, 24, 15, 23, 32, 40, 48, 44, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 46, 43, 35, 27, 18, 9, 14, 6, 13, 21, 31, 38, 47, 42, 34, 26, 17, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 46)(39, 48)(42, 45)(44, 47)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 24 f = 2
	degree seq :: [ 24^2 ]

E11.512 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 24, 24})
Quotient :: edge
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^11 * T1 * T2 * T1, (T1 * T2^-3)^8 ]
Map::
	R = (1, 3, 8, 17, 26, 34, 42, 47, 39, 31, 23, 13, 21, 11, 20, 29, 37, 45, 44, 36, 28, 19, 10, 4)(2, 5, 12, 22, 30, 38, 46, 43, 35, 27, 18, 9, 16, 7, 15, 25, 33, 41, 48, 40, 32, 24, 14, 6)(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, 93)(88, 95)(90, 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 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E11.513
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 48 f = 2
	degree seq :: [ 2^24, 24^2 ]

E11.513 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 24, 24})
Quotient :: loop
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^11 * T1 * T2 * T1, (T1 * T2^-3)^8 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 26, 74, 34, 82, 42, 90, 47, 95, 39, 87, 31, 79, 23, 71, 13, 61, 21, 69, 11, 59, 20, 68, 29, 77, 37, 85, 45, 93, 44, 92, 36, 84, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 30, 78, 38, 86, 46, 94, 43, 91, 35, 83, 27, 75, 18, 66, 9, 57, 16, 64, 7, 55, 15, 63, 25, 73, 33, 81, 41, 89, 48, 96, 40, 88, 32, 80, 24, 72, 14, 62, 6, 54)
	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, 93)(39, 83)(40, 95)(41, 82)(42, 94)(43, 84)(44, 96)(45, 86)(46, 90)(47, 88)(48, 92)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.512
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 26
	degree seq :: [ 48^2 ]

E11.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * R * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^11 * 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, 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, 45, 93)(40, 88, 47, 95)(42, 90, 46, 94)(44, 92, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 122, 170, 130, 178, 138, 186, 143, 191, 135, 183, 127, 175, 119, 167, 109, 157, 117, 165, 107, 155, 116, 164, 125, 173, 133, 181, 141, 189, 140, 188, 132, 180, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 126, 174, 134, 182, 142, 190, 139, 187, 131, 179, 123, 171, 114, 162, 105, 153, 112, 160, 103, 151, 111, 159, 121, 169, 129, 177, 137, 185, 144, 192, 136, 184, 128, 176, 120, 168, 110, 158, 102, 150)
	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, 141)(39, 131)(40, 143)(41, 130)(42, 142)(43, 132)(44, 144)(45, 134)(46, 138)(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) :: { ( 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 E11.515
Graph:: bipartite
	v = 26 e = 96 f = 50
	degree seq :: [ 4^24, 48^2 ]

E11.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1 * Y3 * Y1^-2 * Y3 * Y1, (Y1 * Y3 * Y1^-1 * Y3)^2, Y1^-2 * Y3 * Y1^-9 * Y3 * Y1^-1 ]
Map::
	R = (1, 49, 2, 50, 5, 53, 11, 59, 20, 68, 29, 77, 37, 85, 45, 93, 41, 89, 33, 81, 25, 73, 16, 64, 24, 72, 15, 63, 23, 71, 32, 80, 40, 88, 48, 96, 44, 92, 36, 84, 28, 76, 19, 67, 10, 58, 4, 52)(3, 51, 7, 55, 12, 60, 22, 70, 30, 78, 39, 87, 46, 94, 43, 91, 35, 83, 27, 75, 18, 66, 9, 57, 14, 62, 6, 54, 13, 61, 21, 69, 31, 79, 38, 86, 47, 95, 42, 90, 34, 82, 26, 74, 17, 65, 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, 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, 142)(38, 125)(39, 144)(40, 127)(41, 131)(42, 141)(43, 132)(44, 143)(45, 138)(46, 133)(47, 140)(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, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.514
Graph:: simple bipartite
	v = 50 e = 96 f = 26
	degree seq :: [ 2^48, 48^2 ]

E11.516 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^3, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^5, (Y2 * Y1 * Y2 * Y1^-1)^5 ]
Map::
	R = (1, 62, 2, 64, 4, 61)(3, 66, 6, 67, 7, 63)(5, 69, 9, 70, 10, 65)(8, 73, 13, 74, 14, 68)(11, 77, 17, 78, 18, 71)(12, 79, 19, 80, 20, 72)(15, 83, 23, 84, 24, 75)(16, 85, 25, 86, 26, 76)(21, 90, 30, 91, 31, 81)(22, 92, 32, 87, 27, 82)(28, 95, 35, 96, 36, 88)(29, 97, 37, 98, 38, 89)(33, 101, 41, 102, 42, 93)(34, 103, 43, 104, 44, 94)(39, 107, 47, 108, 48, 99)(40, 109, 49, 110, 50, 100)(45, 113, 53, 114, 54, 105)(46, 115, 55, 111, 51, 106)(52, 117, 57, 116, 56, 112)(58, 120, 60, 119, 59, 118)
	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, 23)(24, 33)(25, 34)(26, 30)(31, 39)(32, 40)(35, 45)(36, 37)(38, 46)(41, 51)(42, 43)(44, 52)(47, 56)(48, 49)(50, 53)(54, 58)(55, 59)(57, 60)(61, 63)(62, 65)(64, 68)(66, 71)(67, 72)(69, 75)(70, 76)(73, 81)(74, 82)(77, 87)(78, 88)(79, 89)(80, 83)(84, 93)(85, 94)(86, 90)(91, 99)(92, 100)(95, 105)(96, 97)(98, 106)(101, 111)(102, 103)(104, 112)(107, 116)(108, 109)(110, 113)(114, 118)(115, 119)(117, 120)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 20 e = 60 f = 20
	degree seq :: [ 6^20 ]

E11.517 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3, (Y3 * Y1 * Y3^-1 * Y1)^5 ]
Map::
	R = (1, 61, 3, 63, 4, 64)(2, 62, 5, 65, 6, 66)(7, 67, 11, 71, 12, 72)(8, 68, 13, 73, 14, 74)(9, 69, 15, 75, 16, 76)(10, 70, 17, 77, 18, 78)(19, 79, 26, 86, 27, 87)(20, 80, 28, 88, 29, 89)(21, 81, 30, 90, 31, 91)(22, 82, 32, 92, 23, 83)(24, 84, 33, 93, 34, 94)(25, 85, 35, 95, 36, 96)(37, 97, 43, 103, 44, 104)(38, 98, 45, 105, 46, 106)(39, 99, 47, 107, 48, 108)(40, 100, 49, 109, 50, 110)(41, 101, 51, 111, 52, 112)(42, 102, 53, 113, 54, 114)(55, 115, 59, 119, 56, 116)(57, 117, 60, 120, 58, 118)(121, 122)(123, 127)(124, 128)(125, 129)(126, 130)(131, 139)(132, 140)(133, 141)(134, 142)(135, 143)(136, 144)(137, 145)(138, 146)(147, 157)(148, 158)(149, 150)(151, 159)(152, 160)(153, 161)(154, 155)(156, 162)(163, 174)(164, 165)(166, 175)(167, 176)(168, 169)(170, 171)(172, 177)(173, 178)(179, 180)(181, 182)(183, 187)(184, 188)(185, 189)(186, 190)(191, 199)(192, 200)(193, 201)(194, 202)(195, 203)(196, 204)(197, 205)(198, 206)(207, 217)(208, 218)(209, 210)(211, 219)(212, 220)(213, 221)(214, 215)(216, 222)(223, 234)(224, 225)(226, 235)(227, 236)(228, 229)(230, 231)(232, 237)(233, 238)(239, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E11.519
Graph:: simple bipartite
	v = 80 e = 120 f = 20
	degree seq :: [ 2^60, 6^20 ]

E11.518 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 4, 64)(2, 62, 5, 65)(3, 63, 6, 66)(7, 67, 13, 73)(8, 68, 14, 74)(9, 69, 15, 75)(10, 70, 16, 76)(11, 71, 17, 77)(12, 72, 18, 78)(19, 79, 30, 90)(20, 80, 31, 91)(21, 81, 32, 92)(22, 82, 23, 83)(24, 84, 33, 93)(25, 85, 34, 94)(26, 86, 27, 87)(28, 88, 35, 95)(29, 89, 36, 96)(37, 97, 49, 109)(38, 98, 39, 99)(40, 100, 50, 110)(41, 101, 51, 111)(42, 102, 43, 103)(44, 104, 52, 112)(45, 105, 53, 113)(46, 106, 47, 107)(48, 108, 54, 114)(55, 115, 58, 118)(56, 116, 59, 119)(57, 117, 60, 120)(121, 122, 123)(124, 127, 128)(125, 129, 130)(126, 131, 132)(133, 139, 140)(134, 141, 142)(135, 143, 144)(136, 145, 146)(137, 147, 148)(138, 149, 150)(151, 157, 158)(152, 159, 160)(153, 161, 162)(154, 163, 164)(155, 165, 166)(156, 167, 168)(169, 174, 175)(170, 176, 171)(172, 177, 173)(178, 180, 179)(181, 183, 182)(184, 188, 187)(185, 190, 189)(186, 192, 191)(193, 200, 199)(194, 202, 201)(195, 204, 203)(196, 206, 205)(197, 208, 207)(198, 210, 209)(211, 218, 217)(212, 220, 219)(213, 222, 221)(214, 224, 223)(215, 226, 225)(216, 228, 227)(229, 235, 234)(230, 231, 236)(232, 233, 237)(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) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.520
Graph:: simple bipartite
	v = 70 e = 120 f = 30
	degree seq :: [ 3^40, 4^30 ]

E11.519 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3, (Y3 * Y1 * Y3^-1 * Y1)^5 ]
Map::
	R = (1, 61, 121, 181, 3, 63, 123, 183, 4, 64, 124, 184)(2, 62, 122, 182, 5, 65, 125, 185, 6, 66, 126, 186)(7, 67, 127, 187, 11, 71, 131, 191, 12, 72, 132, 192)(8, 68, 128, 188, 13, 73, 133, 193, 14, 74, 134, 194)(9, 69, 129, 189, 15, 75, 135, 195, 16, 76, 136, 196)(10, 70, 130, 190, 17, 77, 137, 197, 18, 78, 138, 198)(19, 79, 139, 199, 26, 86, 146, 206, 27, 87, 147, 207)(20, 80, 140, 200, 28, 88, 148, 208, 29, 89, 149, 209)(21, 81, 141, 201, 30, 90, 150, 210, 31, 91, 151, 211)(22, 82, 142, 202, 32, 92, 152, 212, 23, 83, 143, 203)(24, 84, 144, 204, 33, 93, 153, 213, 34, 94, 154, 214)(25, 85, 145, 205, 35, 95, 155, 215, 36, 96, 156, 216)(37, 97, 157, 217, 43, 103, 163, 223, 44, 104, 164, 224)(38, 98, 158, 218, 45, 105, 165, 225, 46, 106, 166, 226)(39, 99, 159, 219, 47, 107, 167, 227, 48, 108, 168, 228)(40, 100, 160, 220, 49, 109, 169, 229, 50, 110, 170, 230)(41, 101, 161, 221, 51, 111, 171, 231, 52, 112, 172, 232)(42, 102, 162, 222, 53, 113, 173, 233, 54, 114, 174, 234)(55, 115, 175, 235, 59, 119, 179, 239, 56, 116, 176, 236)(57, 117, 177, 237, 60, 120, 180, 240, 58, 118, 178, 238)
	L = (1, 62)(2, 61)(3, 67)(4, 68)(5, 69)(6, 70)(7, 63)(8, 64)(9, 65)(10, 66)(11, 79)(12, 80)(13, 81)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 97)(28, 98)(29, 90)(30, 89)(31, 99)(32, 100)(33, 101)(34, 95)(35, 94)(36, 102)(37, 87)(38, 88)(39, 91)(40, 92)(41, 93)(42, 96)(43, 114)(44, 105)(45, 104)(46, 115)(47, 116)(48, 109)(49, 108)(50, 111)(51, 110)(52, 117)(53, 118)(54, 103)(55, 106)(56, 107)(57, 112)(58, 113)(59, 120)(60, 119)(121, 182)(122, 181)(123, 187)(124, 188)(125, 189)(126, 190)(127, 183)(128, 184)(129, 185)(130, 186)(131, 199)(132, 200)(133, 201)(134, 202)(135, 203)(136, 204)(137, 205)(138, 206)(139, 191)(140, 192)(141, 193)(142, 194)(143, 195)(144, 196)(145, 197)(146, 198)(147, 217)(148, 218)(149, 210)(150, 209)(151, 219)(152, 220)(153, 221)(154, 215)(155, 214)(156, 222)(157, 207)(158, 208)(159, 211)(160, 212)(161, 213)(162, 216)(163, 234)(164, 225)(165, 224)(166, 235)(167, 236)(168, 229)(169, 228)(170, 231)(171, 230)(172, 237)(173, 238)(174, 223)(175, 226)(176, 227)(177, 232)(178, 233)(179, 240)(180, 239)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.517
Transitivity :: VT+
Graph::
	v = 20 e = 120 f = 80
	degree seq :: [ 12^20 ]

E11.520 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 5, 65, 125, 185)(3, 63, 123, 183, 6, 66, 126, 186)(7, 67, 127, 187, 13, 73, 133, 193)(8, 68, 128, 188, 14, 74, 134, 194)(9, 69, 129, 189, 15, 75, 135, 195)(10, 70, 130, 190, 16, 76, 136, 196)(11, 71, 131, 191, 17, 77, 137, 197)(12, 72, 132, 192, 18, 78, 138, 198)(19, 79, 139, 199, 30, 90, 150, 210)(20, 80, 140, 200, 31, 91, 151, 211)(21, 81, 141, 201, 32, 92, 152, 212)(22, 82, 142, 202, 23, 83, 143, 203)(24, 84, 144, 204, 33, 93, 153, 213)(25, 85, 145, 205, 34, 94, 154, 214)(26, 86, 146, 206, 27, 87, 147, 207)(28, 88, 148, 208, 35, 95, 155, 215)(29, 89, 149, 209, 36, 96, 156, 216)(37, 97, 157, 217, 49, 109, 169, 229)(38, 98, 158, 218, 39, 99, 159, 219)(40, 100, 160, 220, 50, 110, 170, 230)(41, 101, 161, 221, 51, 111, 171, 231)(42, 102, 162, 222, 43, 103, 163, 223)(44, 104, 164, 224, 52, 112, 172, 232)(45, 105, 165, 225, 53, 113, 173, 233)(46, 106, 166, 226, 47, 107, 167, 227)(48, 108, 168, 228, 54, 114, 174, 234)(55, 115, 175, 235, 58, 118, 178, 238)(56, 116, 176, 236, 59, 119, 179, 239)(57, 117, 177, 237, 60, 120, 180, 240)
	L = (1, 62)(2, 63)(3, 61)(4, 67)(5, 69)(6, 71)(7, 68)(8, 64)(9, 70)(10, 65)(11, 72)(12, 66)(13, 79)(14, 81)(15, 83)(16, 85)(17, 87)(18, 89)(19, 80)(20, 73)(21, 82)(22, 74)(23, 84)(24, 75)(25, 86)(26, 76)(27, 88)(28, 77)(29, 90)(30, 78)(31, 97)(32, 99)(33, 101)(34, 103)(35, 105)(36, 107)(37, 98)(38, 91)(39, 100)(40, 92)(41, 102)(42, 93)(43, 104)(44, 94)(45, 106)(46, 95)(47, 108)(48, 96)(49, 114)(50, 116)(51, 110)(52, 117)(53, 112)(54, 115)(55, 109)(56, 111)(57, 113)(58, 120)(59, 118)(60, 119)(121, 183)(122, 181)(123, 182)(124, 188)(125, 190)(126, 192)(127, 184)(128, 187)(129, 185)(130, 189)(131, 186)(132, 191)(133, 200)(134, 202)(135, 204)(136, 206)(137, 208)(138, 210)(139, 193)(140, 199)(141, 194)(142, 201)(143, 195)(144, 203)(145, 196)(146, 205)(147, 197)(148, 207)(149, 198)(150, 209)(151, 218)(152, 220)(153, 222)(154, 224)(155, 226)(156, 228)(157, 211)(158, 217)(159, 212)(160, 219)(161, 213)(162, 221)(163, 214)(164, 223)(165, 215)(166, 225)(167, 216)(168, 227)(169, 235)(170, 231)(171, 236)(172, 233)(173, 237)(174, 229)(175, 234)(176, 230)(177, 232)(178, 239)(179, 240)(180, 238)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E11.518
Transitivity :: VT+
Graph::
	v = 30 e = 120 f = 70
	degree seq :: [ 8^30 ]

E11.521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = S5 (small group id <120, 34>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 16, 76)(6, 66, 8, 68)(7, 67, 19, 79)(9, 69, 24, 84)(12, 72, 30, 90)(13, 73, 28, 88)(14, 74, 32, 92)(15, 75, 33, 93)(17, 77, 36, 96)(18, 78, 37, 97)(20, 80, 41, 101)(21, 81, 39, 99)(22, 82, 43, 103)(23, 83, 44, 104)(25, 85, 47, 107)(26, 86, 48, 108)(27, 87, 49, 109)(29, 89, 42, 102)(31, 91, 40, 100)(34, 94, 56, 116)(35, 95, 58, 118)(38, 98, 51, 111)(45, 105, 52, 112)(46, 106, 55, 115)(50, 110, 59, 119)(53, 113, 54, 114)(57, 117, 60, 120)(121, 181, 123, 183, 125, 185)(122, 182, 127, 187, 129, 189)(124, 184, 134, 194, 135, 195)(126, 186, 138, 198, 132, 192)(128, 188, 142, 202, 143, 203)(130, 190, 146, 206, 140, 200)(131, 191, 147, 207, 149, 209)(133, 193, 151, 211, 137, 197)(136, 196, 154, 214, 155, 215)(139, 199, 158, 218, 160, 220)(141, 201, 162, 222, 145, 205)(144, 204, 165, 225, 166, 226)(148, 208, 168, 228, 172, 232)(150, 210, 173, 233, 170, 230)(152, 212, 174, 234, 167, 227)(153, 213, 169, 229, 175, 235)(156, 216, 163, 223, 177, 237)(157, 217, 176, 236, 159, 219)(161, 221, 180, 240, 179, 239)(164, 224, 171, 231, 178, 238)
	L = (1, 124)(2, 128)(3, 132)(4, 126)(5, 137)(6, 121)(7, 140)(8, 130)(9, 145)(10, 122)(11, 148)(12, 133)(13, 123)(14, 125)(15, 151)(16, 152)(17, 134)(18, 135)(19, 159)(20, 141)(21, 127)(22, 129)(23, 162)(24, 163)(25, 142)(26, 143)(27, 170)(28, 150)(29, 164)(30, 131)(31, 138)(32, 156)(33, 157)(34, 177)(35, 165)(36, 136)(37, 160)(38, 179)(39, 161)(40, 153)(41, 139)(42, 146)(43, 167)(44, 168)(45, 174)(46, 154)(47, 144)(48, 149)(49, 158)(50, 171)(51, 147)(52, 178)(53, 172)(54, 155)(55, 180)(56, 175)(57, 166)(58, 173)(59, 169)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 50 e = 120 f = 50
	degree seq :: [ 4^30, 6^20 ]

E11.522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2^-1)^5, (Y2 * Y1 * Y2^-1 * Y1)^5 ]
Map::
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 8, 68)(5, 65, 9, 69)(6, 66, 10, 70)(11, 71, 19, 79)(12, 72, 20, 80)(13, 73, 21, 81)(14, 74, 22, 82)(15, 75, 23, 83)(16, 76, 24, 84)(17, 77, 25, 85)(18, 78, 26, 86)(27, 87, 37, 97)(28, 88, 38, 98)(29, 89, 30, 90)(31, 91, 39, 99)(32, 92, 40, 100)(33, 93, 41, 101)(34, 94, 35, 95)(36, 96, 42, 102)(43, 103, 54, 114)(44, 104, 45, 105)(46, 106, 55, 115)(47, 107, 56, 116)(48, 108, 49, 109)(50, 110, 51, 111)(52, 112, 57, 117)(53, 113, 58, 118)(59, 119, 60, 120)(121, 181, 123, 183, 124, 184)(122, 182, 125, 185, 126, 186)(127, 187, 131, 191, 132, 192)(128, 188, 133, 193, 134, 194)(129, 189, 135, 195, 136, 196)(130, 190, 137, 197, 138, 198)(139, 199, 146, 206, 147, 207)(140, 200, 148, 208, 149, 209)(141, 201, 150, 210, 151, 211)(142, 202, 152, 212, 143, 203)(144, 204, 153, 213, 154, 214)(145, 205, 155, 215, 156, 216)(157, 217, 163, 223, 164, 224)(158, 218, 165, 225, 166, 226)(159, 219, 167, 227, 168, 228)(160, 220, 169, 229, 170, 230)(161, 221, 171, 231, 172, 232)(162, 222, 173, 233, 174, 234)(175, 235, 179, 239, 176, 236)(177, 237, 180, 240, 178, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 50 e = 120 f = 50
	degree seq :: [ 4^30, 6^20 ]

E11.523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^5, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1, (Y2^-1 * Y1)^3, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, (Y3 * Y2^-1)^3, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1, (Y2^-1 * Y3^-2)^2, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 23, 83)(9, 69, 29, 89)(12, 72, 36, 96)(13, 73, 28, 88)(14, 74, 31, 91)(15, 75, 34, 94)(16, 76, 25, 85)(18, 78, 46, 106)(19, 79, 26, 86)(20, 80, 40, 100)(21, 81, 49, 109)(22, 82, 27, 87)(24, 84, 53, 113)(30, 90, 52, 112)(32, 92, 51, 111)(33, 93, 47, 107)(35, 95, 45, 105)(37, 97, 44, 104)(38, 98, 59, 119)(39, 99, 50, 110)(41, 101, 55, 115)(42, 102, 57, 117)(43, 103, 56, 116)(48, 108, 58, 118)(54, 114, 60, 120)(121, 181, 123, 183, 125, 185)(122, 182, 127, 187, 129, 189)(124, 184, 134, 194, 136, 196)(126, 186, 140, 200, 141, 201)(128, 188, 146, 206, 148, 208)(130, 190, 152, 212, 153, 213)(131, 191, 149, 209, 155, 215)(132, 192, 157, 217, 150, 210)(133, 193, 159, 219, 160, 220)(135, 195, 163, 223, 164, 224)(137, 197, 165, 225, 143, 203)(138, 198, 144, 204, 168, 228)(139, 199, 169, 229, 170, 230)(142, 202, 173, 233, 158, 218)(145, 205, 175, 235, 171, 231)(147, 207, 177, 237, 178, 238)(151, 211, 167, 227, 161, 221)(154, 214, 156, 216, 174, 234)(162, 222, 179, 239, 166, 226)(172, 232, 176, 236, 180, 240)
	L = (1, 124)(2, 128)(3, 132)(4, 135)(5, 138)(6, 121)(7, 144)(8, 147)(9, 150)(10, 122)(11, 148)(12, 158)(13, 123)(14, 162)(15, 142)(16, 159)(17, 146)(18, 167)(19, 125)(20, 171)(21, 172)(22, 126)(23, 136)(24, 174)(25, 127)(26, 176)(27, 154)(28, 175)(29, 134)(30, 169)(31, 129)(32, 160)(33, 166)(34, 130)(35, 168)(36, 131)(37, 152)(38, 161)(39, 180)(40, 178)(41, 133)(42, 141)(43, 139)(44, 155)(45, 157)(46, 137)(47, 163)(48, 140)(49, 177)(50, 145)(51, 164)(52, 149)(53, 143)(54, 170)(55, 179)(56, 153)(57, 151)(58, 165)(59, 156)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 50 e = 120 f = 50
	degree seq :: [ 4^30, 6^20 ]

E11.524 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3 * Y2)^3, (Y3 * Y1)^10 ]
Map:: non-degenerate
	R = (1, 62, 2, 61)(3, 67, 7, 63)(4, 69, 9, 64)(5, 71, 11, 65)(6, 73, 13, 66)(8, 72, 12, 68)(10, 74, 14, 70)(15, 83, 23, 75)(16, 84, 24, 76)(17, 85, 25, 77)(18, 86, 26, 78)(19, 87, 27, 79)(20, 88, 28, 80)(21, 89, 29, 81)(22, 90, 30, 82)(31, 97, 37, 91)(32, 98, 38, 92)(33, 99, 39, 93)(34, 100, 40, 94)(35, 101, 41, 95)(36, 102, 42, 96)(43, 109, 49, 103)(44, 110, 50, 104)(45, 111, 51, 105)(46, 112, 52, 106)(47, 113, 53, 107)(48, 114, 54, 108)(55, 118, 58, 115)(56, 119, 59, 116)(57, 120, 60, 117)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 19)(12, 21)(13, 22)(16, 25)(20, 29)(23, 31)(24, 33)(26, 32)(27, 34)(28, 36)(30, 35)(37, 43)(38, 45)(39, 44)(40, 46)(41, 48)(42, 47)(49, 55)(50, 57)(51, 56)(52, 58)(53, 60)(54, 59)(61, 64)(62, 66)(63, 68)(65, 72)(67, 76)(69, 75)(70, 77)(71, 80)(73, 79)(74, 81)(78, 85)(82, 89)(83, 92)(84, 91)(86, 93)(87, 95)(88, 94)(90, 96)(97, 104)(98, 103)(99, 105)(100, 107)(101, 106)(102, 108)(109, 116)(110, 115)(111, 117)(112, 119)(113, 118)(114, 120)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E11.525
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 30 e = 60 f = 10
	degree seq :: [ 4^30 ]

E11.525 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-1 * Y3 * Y2 * Y1^-1, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y1^6, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 70, 10, 65, 5, 61)(3, 69, 9, 75, 15, 72, 12, 64, 4, 71, 11, 63)(7, 76, 16, 73, 13, 78, 18, 68, 8, 77, 17, 67)(19, 85, 25, 81, 21, 87, 27, 80, 20, 86, 26, 79)(22, 88, 28, 84, 24, 90, 30, 83, 23, 89, 29, 82)(31, 97, 37, 93, 33, 99, 39, 92, 32, 98, 38, 91)(34, 100, 40, 96, 36, 102, 42, 95, 35, 101, 41, 94)(43, 109, 49, 105, 45, 111, 51, 104, 44, 110, 50, 103)(46, 112, 52, 108, 48, 114, 54, 107, 47, 113, 53, 106)(55, 120, 60, 117, 57, 119, 59, 116, 56, 118, 58, 115)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 19)(10, 15)(11, 21)(12, 20)(16, 22)(17, 24)(18, 23)(25, 31)(26, 33)(27, 32)(28, 34)(29, 36)(30, 35)(37, 43)(38, 45)(39, 44)(40, 46)(41, 48)(42, 47)(49, 55)(50, 57)(51, 56)(52, 58)(53, 60)(54, 59)(61, 64)(62, 68)(63, 70)(65, 67)(66, 75)(69, 80)(71, 79)(72, 81)(73, 74)(76, 83)(77, 82)(78, 84)(85, 92)(86, 91)(87, 93)(88, 95)(89, 94)(90, 96)(97, 104)(98, 103)(99, 105)(100, 107)(101, 106)(102, 108)(109, 116)(110, 115)(111, 117)(112, 119)(113, 118)(114, 120)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E11.524
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 60 f = 30
	degree seq :: [ 12^10 ]

E11.526 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^3, (Y3 * Y2)^10 ]
Map::
	R = (1, 61, 4, 64)(2, 62, 6, 66)(3, 63, 8, 68)(5, 65, 12, 72)(7, 67, 15, 75)(9, 69, 17, 77)(10, 70, 18, 78)(11, 71, 19, 79)(13, 73, 21, 81)(14, 74, 22, 82)(16, 76, 23, 83)(20, 80, 27, 87)(24, 84, 31, 91)(25, 85, 32, 92)(26, 86, 33, 93)(28, 88, 34, 94)(29, 89, 35, 95)(30, 90, 36, 96)(37, 97, 43, 103)(38, 98, 44, 104)(39, 99, 45, 105)(40, 100, 46, 106)(41, 101, 47, 107)(42, 102, 48, 108)(49, 109, 55, 115)(50, 110, 56, 116)(51, 111, 57, 117)(52, 112, 58, 118)(53, 113, 59, 119)(54, 114, 60, 120)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 136)(130, 135)(132, 140)(134, 139)(137, 144)(138, 146)(141, 148)(142, 150)(143, 149)(145, 147)(151, 157)(152, 159)(153, 158)(154, 160)(155, 162)(156, 161)(163, 169)(164, 171)(165, 170)(166, 172)(167, 174)(168, 173)(175, 178)(176, 180)(177, 179)(181, 183)(182, 185)(184, 190)(186, 194)(187, 191)(188, 193)(189, 192)(195, 200)(196, 199)(197, 205)(198, 204)(201, 209)(202, 208)(203, 210)(206, 207)(211, 218)(212, 217)(213, 219)(214, 221)(215, 220)(216, 222)(223, 230)(224, 229)(225, 231)(226, 233)(227, 232)(228, 234)(235, 239)(236, 238)(237, 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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E11.529
Graph:: simple bipartite
	v = 90 e = 120 f = 10
	degree seq :: [ 2^60, 4^30 ]

E11.527 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 4, 64, 6, 66, 15, 75, 9, 69, 5, 65)(2, 62, 7, 67, 3, 63, 10, 70, 14, 74, 8, 68)(11, 71, 19, 79, 12, 72, 21, 81, 13, 73, 20, 80)(16, 76, 22, 82, 17, 77, 24, 84, 18, 78, 23, 83)(25, 85, 31, 91, 26, 86, 33, 93, 27, 87, 32, 92)(28, 88, 34, 94, 29, 89, 36, 96, 30, 90, 35, 95)(37, 97, 43, 103, 38, 98, 45, 105, 39, 99, 44, 104)(40, 100, 46, 106, 41, 101, 48, 108, 42, 102, 47, 107)(49, 109, 55, 115, 50, 110, 57, 117, 51, 111, 56, 116)(52, 112, 58, 118, 53, 113, 60, 120, 54, 114, 59, 119)(121, 122)(123, 129)(124, 131)(125, 132)(126, 134)(127, 136)(128, 137)(130, 138)(133, 135)(139, 145)(140, 146)(141, 147)(142, 148)(143, 149)(144, 150)(151, 157)(152, 158)(153, 159)(154, 160)(155, 161)(156, 162)(163, 169)(164, 170)(165, 171)(166, 172)(167, 173)(168, 174)(175, 179)(176, 178)(177, 180)(181, 183)(182, 186)(184, 192)(185, 193)(187, 197)(188, 198)(189, 194)(190, 196)(191, 195)(199, 206)(200, 207)(201, 205)(202, 209)(203, 210)(204, 208)(211, 218)(212, 219)(213, 217)(214, 221)(215, 222)(216, 220)(223, 230)(224, 231)(225, 229)(226, 233)(227, 234)(228, 232)(235, 238)(236, 240)(237, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E11.528
Graph:: simple bipartite
	v = 70 e = 120 f = 30
	degree seq :: [ 2^60, 12^10 ]

E11.528 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^3, (Y3 * Y2)^10 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 6, 66, 126, 186)(3, 63, 123, 183, 8, 68, 128, 188)(5, 65, 125, 185, 12, 72, 132, 192)(7, 67, 127, 187, 15, 75, 135, 195)(9, 69, 129, 189, 17, 77, 137, 197)(10, 70, 130, 190, 18, 78, 138, 198)(11, 71, 131, 191, 19, 79, 139, 199)(13, 73, 133, 193, 21, 81, 141, 201)(14, 74, 134, 194, 22, 82, 142, 202)(16, 76, 136, 196, 23, 83, 143, 203)(20, 80, 140, 200, 27, 87, 147, 207)(24, 84, 144, 204, 31, 91, 151, 211)(25, 85, 145, 205, 32, 92, 152, 212)(26, 86, 146, 206, 33, 93, 153, 213)(28, 88, 148, 208, 34, 94, 154, 214)(29, 89, 149, 209, 35, 95, 155, 215)(30, 90, 150, 210, 36, 96, 156, 216)(37, 97, 157, 217, 43, 103, 163, 223)(38, 98, 158, 218, 44, 104, 164, 224)(39, 99, 159, 219, 45, 105, 165, 225)(40, 100, 160, 220, 46, 106, 166, 226)(41, 101, 161, 221, 47, 107, 167, 227)(42, 102, 162, 222, 48, 108, 168, 228)(49, 109, 169, 229, 55, 115, 175, 235)(50, 110, 170, 230, 56, 116, 176, 236)(51, 111, 171, 231, 57, 117, 177, 237)(52, 112, 172, 232, 58, 118, 178, 238)(53, 113, 173, 233, 59, 119, 179, 239)(54, 114, 174, 234, 60, 120, 180, 240)
	L = (1, 62)(2, 61)(3, 67)(4, 69)(5, 71)(6, 73)(7, 63)(8, 76)(9, 64)(10, 75)(11, 65)(12, 80)(13, 66)(14, 79)(15, 70)(16, 68)(17, 84)(18, 86)(19, 74)(20, 72)(21, 88)(22, 90)(23, 89)(24, 77)(25, 87)(26, 78)(27, 85)(28, 81)(29, 83)(30, 82)(31, 97)(32, 99)(33, 98)(34, 100)(35, 102)(36, 101)(37, 91)(38, 93)(39, 92)(40, 94)(41, 96)(42, 95)(43, 109)(44, 111)(45, 110)(46, 112)(47, 114)(48, 113)(49, 103)(50, 105)(51, 104)(52, 106)(53, 108)(54, 107)(55, 118)(56, 120)(57, 119)(58, 115)(59, 117)(60, 116)(121, 183)(122, 185)(123, 181)(124, 190)(125, 182)(126, 194)(127, 191)(128, 193)(129, 192)(130, 184)(131, 187)(132, 189)(133, 188)(134, 186)(135, 200)(136, 199)(137, 205)(138, 204)(139, 196)(140, 195)(141, 209)(142, 208)(143, 210)(144, 198)(145, 197)(146, 207)(147, 206)(148, 202)(149, 201)(150, 203)(151, 218)(152, 217)(153, 219)(154, 221)(155, 220)(156, 222)(157, 212)(158, 211)(159, 213)(160, 215)(161, 214)(162, 216)(163, 230)(164, 229)(165, 231)(166, 233)(167, 232)(168, 234)(169, 224)(170, 223)(171, 225)(172, 227)(173, 226)(174, 228)(175, 239)(176, 238)(177, 240)(178, 236)(179, 235)(180, 237)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.527
Transitivity :: VT+
Graph:: bipartite
	v = 30 e = 120 f = 70
	degree seq :: [ 8^30 ]

E11.529 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 6, 66, 126, 186, 15, 75, 135, 195, 9, 69, 129, 189, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 3, 63, 123, 183, 10, 70, 130, 190, 14, 74, 134, 194, 8, 68, 128, 188)(11, 71, 131, 191, 19, 79, 139, 199, 12, 72, 132, 192, 21, 81, 141, 201, 13, 73, 133, 193, 20, 80, 140, 200)(16, 76, 136, 196, 22, 82, 142, 202, 17, 77, 137, 197, 24, 84, 144, 204, 18, 78, 138, 198, 23, 83, 143, 203)(25, 85, 145, 205, 31, 91, 151, 211, 26, 86, 146, 206, 33, 93, 153, 213, 27, 87, 147, 207, 32, 92, 152, 212)(28, 88, 148, 208, 34, 94, 154, 214, 29, 89, 149, 209, 36, 96, 156, 216, 30, 90, 150, 210, 35, 95, 155, 215)(37, 97, 157, 217, 43, 103, 163, 223, 38, 98, 158, 218, 45, 105, 165, 225, 39, 99, 159, 219, 44, 104, 164, 224)(40, 100, 160, 220, 46, 106, 166, 226, 41, 101, 161, 221, 48, 108, 168, 228, 42, 102, 162, 222, 47, 107, 167, 227)(49, 109, 169, 229, 55, 115, 175, 235, 50, 110, 170, 230, 57, 117, 177, 237, 51, 111, 171, 231, 56, 116, 176, 236)(52, 112, 172, 232, 58, 118, 178, 238, 53, 113, 173, 233, 60, 120, 180, 240, 54, 114, 174, 234, 59, 119, 179, 239)
	L = (1, 62)(2, 61)(3, 69)(4, 71)(5, 72)(6, 74)(7, 76)(8, 77)(9, 63)(10, 78)(11, 64)(12, 65)(13, 75)(14, 66)(15, 73)(16, 67)(17, 68)(18, 70)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(55, 119)(56, 118)(57, 120)(58, 116)(59, 115)(60, 117)(121, 183)(122, 186)(123, 181)(124, 192)(125, 193)(126, 182)(127, 197)(128, 198)(129, 194)(130, 196)(131, 195)(132, 184)(133, 185)(134, 189)(135, 191)(136, 190)(137, 187)(138, 188)(139, 206)(140, 207)(141, 205)(142, 209)(143, 210)(144, 208)(145, 201)(146, 199)(147, 200)(148, 204)(149, 202)(150, 203)(151, 218)(152, 219)(153, 217)(154, 221)(155, 222)(156, 220)(157, 213)(158, 211)(159, 212)(160, 216)(161, 214)(162, 215)(163, 230)(164, 231)(165, 229)(166, 233)(167, 234)(168, 232)(169, 225)(170, 223)(171, 224)(172, 228)(173, 226)(174, 227)(175, 238)(176, 240)(177, 239)(178, 235)(179, 237)(180, 236)
	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 E11.526
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 120 f = 90
	degree seq :: [ 24^10 ]

E11.530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y1)^6, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 10, 70)(6, 66, 12, 72)(8, 68, 15, 75)(11, 71, 20, 80)(13, 73, 23, 83)(14, 74, 21, 81)(16, 76, 19, 79)(17, 77, 28, 88)(18, 78, 29, 89)(22, 82, 34, 94)(24, 84, 37, 97)(25, 85, 36, 96)(26, 86, 39, 99)(27, 87, 40, 100)(30, 90, 44, 104)(31, 91, 43, 103)(32, 92, 46, 106)(33, 93, 47, 107)(35, 95, 49, 109)(38, 98, 53, 113)(41, 101, 48, 108)(42, 102, 57, 117)(45, 105, 50, 110)(51, 111, 55, 115)(52, 112, 59, 119)(54, 114, 60, 120)(56, 116, 58, 118)(121, 181, 123, 183)(122, 182, 125, 185)(124, 184, 128, 188)(126, 186, 131, 191)(127, 187, 133, 193)(129, 189, 136, 196)(130, 190, 138, 198)(132, 192, 141, 201)(134, 194, 144, 204)(135, 195, 145, 205)(137, 197, 147, 207)(139, 199, 150, 210)(140, 200, 151, 211)(142, 202, 153, 213)(143, 203, 155, 215)(146, 206, 158, 218)(148, 208, 159, 219)(149, 209, 162, 222)(152, 212, 165, 225)(154, 214, 166, 226)(156, 216, 170, 230)(157, 217, 171, 231)(160, 220, 175, 235)(161, 221, 174, 234)(163, 223, 173, 233)(164, 224, 172, 232)(167, 227, 179, 239)(168, 228, 178, 238)(169, 229, 176, 236)(177, 237, 180, 240)
	L = (1, 124)(2, 126)(3, 128)(4, 121)(5, 131)(6, 122)(7, 134)(8, 123)(9, 137)(10, 139)(11, 125)(12, 142)(13, 144)(14, 127)(15, 146)(16, 147)(17, 129)(18, 150)(19, 130)(20, 152)(21, 153)(22, 132)(23, 156)(24, 133)(25, 158)(26, 135)(27, 136)(28, 161)(29, 163)(30, 138)(31, 165)(32, 140)(33, 141)(34, 168)(35, 170)(36, 143)(37, 172)(38, 145)(39, 174)(40, 176)(41, 148)(42, 173)(43, 149)(44, 171)(45, 151)(46, 178)(47, 180)(48, 154)(49, 175)(50, 155)(51, 164)(52, 157)(53, 162)(54, 159)(55, 169)(56, 160)(57, 179)(58, 166)(59, 177)(60, 167)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.534
Graph:: simple bipartite
	v = 60 e = 120 f = 40
	degree seq :: [ 4^60 ]

E11.531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3^-2 * Y1 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y3^10, (Y3^-4 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 12, 72)(5, 65, 14, 74)(6, 66, 16, 76)(7, 67, 19, 79)(8, 68, 21, 81)(10, 70, 24, 84)(11, 71, 26, 86)(13, 73, 22, 82)(15, 75, 20, 80)(17, 77, 29, 89)(18, 78, 28, 88)(23, 83, 31, 91)(25, 85, 37, 97)(27, 87, 33, 93)(30, 90, 42, 102)(32, 92, 38, 98)(34, 94, 45, 105)(35, 95, 39, 99)(36, 96, 41, 101)(40, 100, 51, 111)(43, 103, 48, 108)(44, 104, 47, 107)(46, 106, 54, 114)(49, 109, 50, 110)(52, 112, 57, 117)(53, 113, 56, 116)(55, 115, 59, 119)(58, 118, 60, 120)(121, 181, 123, 183)(122, 182, 126, 186)(124, 184, 131, 191)(125, 185, 130, 190)(127, 187, 138, 198)(128, 188, 137, 197)(129, 189, 140, 200)(132, 192, 147, 207)(133, 193, 136, 196)(134, 194, 146, 206)(135, 195, 145, 205)(139, 199, 151, 211)(141, 201, 148, 208)(142, 202, 154, 214)(143, 203, 155, 215)(144, 204, 158, 218)(149, 209, 161, 221)(150, 210, 153, 213)(152, 212, 160, 220)(156, 216, 166, 226)(157, 217, 167, 227)(159, 219, 170, 230)(162, 222, 173, 233)(163, 223, 165, 225)(164, 224, 172, 232)(168, 228, 177, 237)(169, 229, 178, 238)(171, 231, 179, 239)(174, 234, 180, 240)(175, 235, 176, 236)
	L = (1, 124)(2, 127)(3, 130)(4, 133)(5, 121)(6, 137)(7, 140)(8, 122)(9, 138)(10, 145)(11, 123)(12, 148)(13, 150)(14, 151)(15, 125)(16, 131)(17, 154)(18, 126)(19, 146)(20, 155)(21, 147)(22, 128)(23, 129)(24, 139)(25, 160)(26, 141)(27, 161)(28, 134)(29, 132)(30, 163)(31, 158)(32, 135)(33, 136)(34, 166)(35, 167)(36, 142)(37, 143)(38, 170)(39, 144)(40, 172)(41, 173)(42, 149)(43, 175)(44, 152)(45, 153)(46, 177)(47, 178)(48, 156)(49, 157)(50, 179)(51, 159)(52, 176)(53, 180)(54, 162)(55, 164)(56, 165)(57, 169)(58, 168)(59, 174)(60, 171)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.535
Graph:: simple bipartite
	v = 60 e = 120 f = 40
	degree seq :: [ 4^60 ]

E11.532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1)^6, (Y2 * Y1 * Y2 * Y1 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 10, 70)(6, 66, 12, 72)(8, 68, 15, 75)(11, 71, 20, 80)(13, 73, 23, 83)(14, 74, 25, 85)(16, 76, 28, 88)(17, 77, 30, 90)(18, 78, 31, 91)(19, 79, 33, 93)(21, 81, 36, 96)(22, 82, 38, 98)(24, 84, 41, 101)(26, 86, 44, 104)(27, 87, 37, 97)(29, 89, 35, 95)(32, 92, 50, 110)(34, 94, 53, 113)(39, 99, 54, 114)(40, 100, 55, 115)(42, 102, 51, 111)(43, 103, 56, 116)(45, 105, 48, 108)(46, 106, 49, 109)(47, 107, 52, 112)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183)(122, 182, 125, 185)(124, 184, 128, 188)(126, 186, 131, 191)(127, 187, 133, 193)(129, 189, 136, 196)(130, 190, 138, 198)(132, 192, 141, 201)(134, 194, 144, 204)(135, 195, 146, 206)(137, 197, 149, 209)(139, 199, 152, 212)(140, 200, 154, 214)(142, 202, 157, 217)(143, 203, 159, 219)(145, 205, 162, 222)(147, 207, 165, 225)(148, 208, 166, 226)(150, 210, 163, 223)(151, 211, 168, 228)(153, 213, 171, 231)(155, 215, 174, 234)(156, 216, 175, 235)(158, 218, 172, 232)(160, 220, 170, 230)(161, 221, 169, 229)(164, 224, 173, 233)(167, 227, 178, 238)(176, 236, 180, 240)(177, 237, 179, 239)
	L = (1, 124)(2, 126)(3, 128)(4, 121)(5, 131)(6, 122)(7, 134)(8, 123)(9, 137)(10, 139)(11, 125)(12, 142)(13, 144)(14, 127)(15, 147)(16, 149)(17, 129)(18, 152)(19, 130)(20, 155)(21, 157)(22, 132)(23, 160)(24, 133)(25, 163)(26, 165)(27, 135)(28, 167)(29, 136)(30, 162)(31, 169)(32, 138)(33, 172)(34, 174)(35, 140)(36, 176)(37, 141)(38, 171)(39, 170)(40, 143)(41, 168)(42, 150)(43, 145)(44, 177)(45, 146)(46, 178)(47, 148)(48, 161)(49, 151)(50, 159)(51, 158)(52, 153)(53, 179)(54, 154)(55, 180)(56, 156)(57, 164)(58, 166)(59, 173)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.533
Graph:: simple bipartite
	v = 60 e = 120 f = 40
	degree seq :: [ 4^60 ]

E11.533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^6, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 14, 74, 5, 65)(3, 63, 9, 69, 16, 76, 31, 91, 25, 85, 11, 71)(4, 64, 12, 72, 26, 86, 30, 90, 17, 77, 8, 68)(7, 67, 18, 78, 29, 89, 28, 88, 13, 73, 20, 80)(10, 70, 23, 83, 40, 100, 47, 107, 32, 92, 22, 82)(19, 79, 35, 95, 27, 87, 43, 103, 45, 105, 34, 94)(21, 81, 37, 97, 46, 106, 42, 102, 24, 84, 39, 99)(33, 93, 48, 108, 44, 104, 52, 112, 36, 96, 50, 110)(38, 98, 54, 114, 41, 101, 55, 115, 57, 117, 53, 113)(49, 109, 59, 119, 51, 111, 60, 120, 56, 116, 58, 118)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 133, 193)(126, 186, 136, 196)(128, 188, 139, 199)(129, 189, 141, 201)(131, 191, 144, 204)(132, 192, 147, 207)(134, 194, 145, 205)(135, 195, 149, 209)(137, 197, 152, 212)(138, 198, 153, 213)(140, 200, 156, 216)(142, 202, 158, 218)(143, 203, 161, 221)(146, 206, 160, 220)(148, 208, 164, 224)(150, 210, 165, 225)(151, 211, 166, 226)(154, 214, 169, 229)(155, 215, 171, 231)(157, 217, 172, 232)(159, 219, 168, 228)(162, 222, 170, 230)(163, 223, 176, 236)(167, 227, 177, 237)(173, 233, 180, 240)(174, 234, 178, 238)(175, 235, 179, 239)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 132)(6, 137)(7, 139)(8, 122)(9, 142)(10, 123)(11, 143)(12, 125)(13, 147)(14, 146)(15, 150)(16, 152)(17, 126)(18, 154)(19, 127)(20, 155)(21, 158)(22, 129)(23, 131)(24, 161)(25, 160)(26, 134)(27, 133)(28, 163)(29, 165)(30, 135)(31, 167)(32, 136)(33, 169)(34, 138)(35, 140)(36, 171)(37, 173)(38, 141)(39, 174)(40, 145)(41, 144)(42, 175)(43, 148)(44, 176)(45, 149)(46, 177)(47, 151)(48, 178)(49, 153)(50, 179)(51, 156)(52, 180)(53, 157)(54, 159)(55, 162)(56, 164)(57, 166)(58, 168)(59, 170)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E11.532
Graph:: simple bipartite
	v = 40 e = 120 f = 60
	degree seq :: [ 4^30, 12^10 ]

E11.534 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 14, 74, 5, 65)(3, 63, 9, 69, 21, 81, 32, 92, 16, 76, 11, 71)(4, 64, 12, 72, 26, 86, 30, 90, 17, 77, 8, 68)(7, 67, 18, 78, 13, 73, 28, 88, 29, 89, 20, 80)(10, 70, 24, 84, 31, 91, 46, 106, 37, 97, 23, 83)(19, 79, 35, 95, 45, 105, 43, 103, 27, 87, 34, 94)(22, 82, 38, 98, 25, 85, 42, 102, 47, 107, 40, 100)(33, 93, 48, 108, 36, 96, 52, 112, 44, 104, 50, 110)(39, 99, 55, 115, 60, 120, 57, 117, 41, 101, 54, 114)(49, 109, 58, 118, 59, 119, 53, 113, 51, 111, 56, 116)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 133, 193)(126, 186, 136, 196)(128, 188, 139, 199)(129, 189, 142, 202)(131, 191, 145, 205)(132, 192, 147, 207)(134, 194, 141, 201)(135, 195, 149, 209)(137, 197, 151, 211)(138, 198, 153, 213)(140, 200, 156, 216)(143, 203, 159, 219)(144, 204, 161, 221)(146, 206, 157, 217)(148, 208, 164, 224)(150, 210, 165, 225)(152, 212, 167, 227)(154, 214, 169, 229)(155, 215, 171, 231)(158, 218, 173, 233)(160, 220, 176, 236)(162, 222, 178, 238)(163, 223, 179, 239)(166, 226, 180, 240)(168, 228, 175, 235)(170, 230, 177, 237)(172, 232, 174, 234)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 132)(6, 137)(7, 139)(8, 122)(9, 143)(10, 123)(11, 144)(12, 125)(13, 147)(14, 146)(15, 150)(16, 151)(17, 126)(18, 154)(19, 127)(20, 155)(21, 157)(22, 159)(23, 129)(24, 131)(25, 161)(26, 134)(27, 133)(28, 163)(29, 165)(30, 135)(31, 136)(32, 166)(33, 169)(34, 138)(35, 140)(36, 171)(37, 141)(38, 174)(39, 142)(40, 175)(41, 145)(42, 177)(43, 148)(44, 179)(45, 149)(46, 152)(47, 180)(48, 176)(49, 153)(50, 178)(51, 156)(52, 173)(53, 172)(54, 158)(55, 160)(56, 168)(57, 162)(58, 170)(59, 164)(60, 167)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E11.530
Graph:: simple bipartite
	v = 40 e = 120 f = 60
	degree seq :: [ 4^30, 12^10 ]

E11.535 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, Y1^2 * Y3^-1, (Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 4, 64, 8, 68, 6, 66, 5, 65)(3, 63, 9, 69, 10, 70, 18, 78, 12, 72, 11, 71)(7, 67, 14, 74, 13, 73, 20, 80, 16, 76, 15, 75)(17, 77, 23, 83, 19, 79, 26, 86, 25, 85, 24, 84)(21, 81, 28, 88, 22, 82, 30, 90, 27, 87, 29, 89)(31, 91, 37, 97, 32, 92, 39, 99, 33, 93, 38, 98)(34, 94, 40, 100, 35, 95, 42, 102, 36, 96, 41, 101)(43, 103, 49, 109, 44, 104, 51, 111, 45, 105, 50, 110)(46, 106, 52, 112, 47, 107, 54, 114, 48, 108, 53, 113)(55, 115, 59, 119, 56, 116, 60, 120, 57, 117, 58, 118)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 132, 192)(125, 185, 133, 193)(126, 186, 130, 190)(128, 188, 136, 196)(129, 189, 137, 197)(131, 191, 139, 199)(134, 194, 141, 201)(135, 195, 142, 202)(138, 198, 145, 205)(140, 200, 147, 207)(143, 203, 151, 211)(144, 204, 152, 212)(146, 206, 153, 213)(148, 208, 154, 214)(149, 209, 155, 215)(150, 210, 156, 216)(157, 217, 163, 223)(158, 218, 164, 224)(159, 219, 165, 225)(160, 220, 166, 226)(161, 221, 167, 227)(162, 222, 168, 228)(169, 229, 175, 235)(170, 230, 176, 236)(171, 231, 177, 237)(172, 232, 178, 238)(173, 233, 179, 239)(174, 234, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 126)(5, 122)(6, 121)(7, 133)(8, 125)(9, 138)(10, 132)(11, 129)(12, 123)(13, 136)(14, 140)(15, 134)(16, 127)(17, 139)(18, 131)(19, 145)(20, 135)(21, 142)(22, 147)(23, 146)(24, 143)(25, 137)(26, 144)(27, 141)(28, 150)(29, 148)(30, 149)(31, 152)(32, 153)(33, 151)(34, 155)(35, 156)(36, 154)(37, 159)(38, 157)(39, 158)(40, 162)(41, 160)(42, 161)(43, 164)(44, 165)(45, 163)(46, 167)(47, 168)(48, 166)(49, 171)(50, 169)(51, 170)(52, 174)(53, 172)(54, 173)(55, 176)(56, 177)(57, 175)(58, 179)(59, 180)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E11.531
Graph:: bipartite
	v = 40 e = 120 f = 60
	degree seq :: [ 4^30, 12^10 ]

E11.536 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = C15 : C4 (small group id <60, 7>)
Aut   = C15 : C4 (small group id <60, 7>)
|r| :: 1
Presentation :: [ X1^4, X2^6, X2^-1 * X1^-1 * X2^-2 * X1 * X2^-1, X1^-2 * X2 * X1 * X2^-1 * X1^-1 * X2, (X2 * X1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 37, 15)(7, 19, 44, 21)(8, 22, 48, 23)(10, 24, 40, 29)(12, 32, 31, 34)(13, 35, 39, 36)(16, 20, 43, 33)(17, 38, 58, 41)(18, 27, 52, 42)(26, 50, 60, 51)(28, 53, 47, 54)(30, 56, 55, 45)(46, 57, 59, 49)(61, 63, 70, 88, 76, 65)(62, 67, 80, 106, 84, 68)(64, 72, 93, 115, 89, 73)(66, 77, 100, 111, 103, 78)(69, 86, 74, 98, 113, 87)(71, 90, 75, 99, 114, 91)(79, 105, 82, 92, 117, 95)(81, 107, 83, 97, 109, 85)(94, 110, 96, 112, 116, 118)(101, 119, 102, 108, 120, 104)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: chiral
Dual of E11.537
Transitivity :: ET+
Graph:: simple bipartite
	v = 25 e = 60 f = 15
	degree seq :: [ 4^15, 6^10 ]

E11.537 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = C15 : C4 (small group id <60, 7>)
Aut   = C15 : C4 (small group id <60, 7>)
|r| :: 1
Presentation :: [ X1^4, X2^4, X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1, X1^-1 * X2^-1 * X1^-2 * X2^-1 * X1^-1 * X2^-2, (X2 * X1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 6, 66, 4, 64)(3, 63, 9, 69, 23, 83, 11, 71)(5, 65, 14, 74, 32, 92, 15, 75)(7, 67, 18, 78, 39, 99, 20, 80)(8, 68, 21, 81, 43, 103, 22, 82)(10, 70, 25, 85, 49, 109, 26, 86)(12, 72, 28, 88, 51, 111, 27, 87)(13, 73, 30, 90, 50, 110, 31, 91)(16, 76, 34, 94, 53, 113, 36, 96)(17, 77, 37, 97, 56, 116, 38, 98)(19, 79, 41, 101, 60, 120, 42, 102)(24, 84, 47, 107, 33, 93, 48, 108)(29, 89, 52, 112, 57, 117, 45, 105)(35, 95, 54, 114, 46, 106, 55, 115)(40, 100, 58, 118, 44, 104, 59, 119)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 76)(7, 79)(8, 62)(9, 84)(10, 65)(11, 80)(12, 89)(13, 64)(14, 88)(15, 90)(16, 95)(17, 66)(18, 100)(19, 68)(20, 96)(21, 69)(22, 74)(23, 105)(24, 98)(25, 110)(26, 108)(27, 71)(28, 104)(29, 73)(30, 94)(31, 97)(32, 112)(33, 75)(34, 93)(35, 77)(36, 87)(37, 78)(38, 81)(39, 86)(40, 91)(41, 92)(42, 119)(43, 85)(44, 82)(45, 118)(46, 83)(47, 120)(48, 117)(49, 113)(50, 114)(51, 115)(52, 116)(53, 102)(54, 103)(55, 107)(56, 101)(57, 99)(58, 106)(59, 109)(60, 111)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: chiral
Dual of E11.536
Transitivity :: ET+ VT+
Graph:: simple
	v = 15 e = 60 f = 25
	degree seq :: [ 8^15 ]

E11.538 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 12, 12})
Quotient :: halfedge
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ X2^2, X1^-2 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1, X2 * X1^4 * X2 * X1^-4, X1^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 57, 60, 46, 22, 10, 4)(3, 7, 15, 31, 48, 54, 29, 53, 59, 38, 18, 8)(6, 13, 27, 37, 58, 40, 50, 32, 45, 56, 30, 14)(9, 19, 39, 49, 24, 36, 17, 35, 52, 28, 42, 20)(12, 25, 41, 55, 34, 16, 33, 44, 21, 43, 51, 26)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 38)(26, 50)(27, 44)(30, 55)(31, 42)(33, 49)(34, 57)(35, 51)(36, 56)(39, 53)(43, 54)(46, 59)(47, 58)(52, 60)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 5 e = 30 f = 5
	degree seq :: [ 12^5 ]

E11.539 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ X1^2, X1 * X2^3 * X1 * X2^2 * X1 * X2, X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-3, X2 * X1 * X2^-2 * X1 * X2^2 * X1 * X2^-1 * X1, X2^12 ]
Map::
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 47)(24, 48)(26, 42)(27, 52)(28, 54)(30, 35)(32, 44)(34, 49)(36, 50)(38, 51)(40, 57)(43, 58)(46, 56)(53, 60)(55, 59)(61, 63, 68, 78, 98, 119, 108, 120, 106, 82, 70, 64)(62, 65, 72, 86, 111, 118, 93, 117, 116, 90, 74, 66)(67, 75, 92, 89, 115, 99, 110, 85, 105, 114, 94, 76)(69, 79, 100, 107, 97, 88, 73, 87, 113, 91, 102, 80)(71, 83, 104, 81, 103, 112, 96, 77, 95, 101, 109, 84)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: chiral
Dual of E11.540
Transitivity :: ET+
Graph:: simple bipartite
	v = 35 e = 60 f = 5
	degree seq :: [ 2^30, 12^5 ]

E11.540 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X2 * X1^-1 * X2 * X1^-2 * X2, X1^-2 * X2^-1 * X1^-3 * X2^2, X1^-1 * X2^-4 * X1^-3 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 16, 76, 34, 94, 53, 113, 52, 112, 60, 120, 50, 110, 31, 91, 13, 73, 4, 64)(3, 63, 9, 69, 23, 83, 45, 105, 33, 93, 36, 96, 19, 79, 40, 100, 59, 119, 43, 103, 22, 82, 11, 71)(5, 65, 14, 74, 27, 87, 44, 104, 54, 114, 37, 97, 57, 117, 47, 107, 26, 86, 39, 99, 20, 80, 7, 67)(8, 68, 21, 81, 42, 102, 58, 118, 46, 106, 24, 84, 48, 108, 30, 90, 41, 101, 56, 116, 38, 98, 17, 77)(10, 70, 25, 85, 49, 109, 32, 92, 15, 75, 29, 89, 12, 72, 28, 88, 51, 111, 55, 115, 35, 95, 18, 78)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 77)(7, 79)(8, 62)(9, 64)(10, 86)(11, 87)(12, 81)(13, 90)(14, 92)(15, 65)(16, 95)(17, 97)(18, 66)(19, 101)(20, 102)(21, 103)(22, 68)(23, 106)(24, 69)(25, 71)(26, 110)(27, 108)(28, 73)(29, 105)(30, 74)(31, 107)(32, 112)(33, 75)(34, 93)(35, 84)(36, 76)(37, 88)(38, 85)(39, 78)(40, 80)(41, 91)(42, 89)(43, 120)(44, 82)(45, 117)(46, 113)(47, 83)(48, 115)(49, 116)(50, 119)(51, 114)(52, 118)(53, 104)(54, 94)(55, 100)(56, 96)(57, 98)(58, 99)(59, 111)(60, 109)
	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 :: chiral
Dual of E11.539
Transitivity :: ET+ VT+
Graph::
	v = 5 e = 60 f = 35
	degree seq :: [ 24^5 ]

E11.541 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-2 * T2 * T1^2 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 32, 52, 62, 58, 35, 53, 42, 22, 10, 4)(3, 7, 15, 31, 50, 26, 12, 25, 47, 40, 21, 39, 44, 36, 18, 8)(6, 13, 27, 51, 41, 46, 24, 45, 38, 20, 9, 19, 37, 54, 30, 14)(16, 28, 48, 60, 59, 64, 55, 63, 57, 34, 17, 29, 49, 61, 56, 33)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 55)(36, 59)(37, 43)(38, 58)(39, 56)(40, 57)(42, 50)(45, 60)(46, 61)(47, 62)(51, 63)(54, 64)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E11.543
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 32 f = 8
	degree seq :: [ 16^4 ]

E11.542 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^-2 * T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T1 * T2)^8, T1^16 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 59, 64, 63, 58, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 54, 62, 52, 61, 53, 60, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 57, 43, 56, 41, 55, 42, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 45, 30, 37, 23, 36, 24, 38, 50, 40, 27)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 51)(45, 49)(46, 57)(47, 60)(55, 59)(56, 63)(58, 62)(61, 64)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E11.544
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 32 f = 8
	degree seq :: [ 16^4 ]

E11.543 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^8, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * 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, 47, 52, 50, 39, 49, 38, 48)(44, 53, 51, 56, 46, 55, 45, 54)(57, 63, 60, 62, 59, 61, 58, 64)
	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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.541
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 32 f = 4
	degree seq :: [ 8^8 ]

E11.544 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T1^8, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 ]
Map:: 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, 64, 58, 63, 60, 61, 59, 62)
	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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E11.542
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 32 f = 4
	degree seq :: [ 8^8 ]

E11.545 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 ]
Map::
	R = (1, 3, 8, 17, 28, 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, 127)(122, 128)(123, 125)(124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E11.553
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 64 f = 4
	degree seq :: [ 2^32, 8^8 ]

E11.546 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map::
	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, 128)(122, 126)(123, 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) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E11.554
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 64 f = 4
	degree seq :: [ 2^32, 8^8 ]

E11.547 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, (T2^3 * T1^-1)^2, T1^8, T2 * T1^-1 * T2^-7 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 56, 41, 30, 34, 21, 42, 58, 52, 33, 15, 5)(2, 7, 19, 40, 57, 46, 24, 11, 27, 37, 32, 51, 60, 44, 22, 8)(4, 12, 29, 49, 62, 47, 26, 35, 16, 14, 31, 50, 61, 45, 23, 9)(6, 17, 36, 53, 63, 55, 39, 20, 13, 28, 43, 59, 64, 54, 38, 18)(65, 66, 70, 80, 98, 91, 77, 68)(67, 73, 81, 72, 85, 99, 92, 75)(69, 78, 82, 101, 94, 76, 84, 71)(74, 88, 100, 87, 106, 86, 107, 90)(79, 96, 102, 93, 105, 83, 103, 95)(89, 111, 117, 110, 122, 109, 123, 108)(97, 113, 118, 104, 120, 114, 119, 115)(112, 124, 127, 126, 116, 121, 128, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.555
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.548 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2 * T1^-1)^2, T1^8, T1^-1 * T2^-1 * T1^2 * T2^-7 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 52, 58, 42, 26, 41, 57, 56, 40, 25, 13, 5)(2, 7, 17, 31, 47, 63, 49, 33, 24, 37, 53, 64, 48, 32, 18, 8)(4, 11, 23, 39, 55, 60, 44, 28, 14, 27, 43, 59, 51, 35, 20, 9)(6, 15, 29, 45, 61, 54, 38, 22, 12, 19, 34, 50, 62, 46, 30, 16)(65, 66, 70, 78, 90, 88, 76, 68)(67, 73, 83, 97, 105, 92, 79, 72)(69, 75, 86, 101, 106, 91, 80, 71)(74, 82, 93, 108, 121, 113, 98, 84)(77, 81, 94, 107, 122, 117, 102, 87)(85, 99, 114, 127, 120, 124, 109, 96)(89, 103, 118, 128, 116, 123, 110, 95)(100, 112, 125, 119, 104, 111, 126, 115)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E11.556
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 64 f = 32
	degree seq :: [ 8^8, 16^4 ]

E11.549 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-2 * T2 * T1^2 * T2 * T1^-4 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 55)(36, 59)(37, 43)(38, 58)(39, 56)(40, 57)(42, 50)(45, 60)(46, 61)(47, 62)(51, 63)(54, 64)(65, 66, 69, 75, 87, 107, 96, 116, 126, 122, 99, 117, 106, 86, 74, 68)(67, 71, 79, 95, 114, 90, 76, 89, 111, 104, 85, 103, 108, 100, 82, 72)(70, 77, 91, 115, 105, 110, 88, 109, 102, 84, 73, 83, 101, 118, 94, 78)(80, 92, 112, 124, 123, 128, 119, 127, 121, 98, 81, 93, 113, 125, 120, 97)
	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 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E11.551
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 64 f = 8
	degree seq :: [ 2^32, 16^4 ]

E11.550 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^-2 * T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1)^8, T1^16 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 51)(45, 49)(46, 57)(47, 60)(55, 59)(56, 63)(58, 62)(61, 64)(65, 66, 69, 75, 84, 96, 111, 123, 128, 127, 122, 110, 95, 83, 74, 68)(67, 71, 79, 89, 103, 118, 126, 116, 125, 117, 124, 113, 97, 86, 76, 72)(70, 77, 73, 82, 93, 108, 121, 107, 120, 105, 119, 106, 112, 98, 85, 78)(80, 90, 81, 92, 99, 115, 109, 94, 101, 87, 100, 88, 102, 114, 104, 91)
	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 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E11.552
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 64 f = 8
	degree seq :: [ 2^32, 16^4 ]

E11.551 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 ]
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, 127)(58, 128)(59, 125)(60, 126)(61, 123)(62, 124)(63, 121)(64, 122)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.549
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 36
	degree seq :: [ 16^8 ]

E11.552 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
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, 128)(58, 126)(59, 127)(60, 125)(61, 124)(62, 122)(63, 123)(64, 121)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.550
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 36
	degree seq :: [ 16^8 ]

E11.553 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, (T2^3 * T1^-1)^2, T1^8, T2 * T1^-1 * T2^-7 * T1^-1 ]
Map::
	R = (1, 65, 3, 67, 10, 74, 25, 89, 48, 112, 56, 120, 41, 105, 30, 94, 34, 98, 21, 85, 42, 106, 58, 122, 52, 116, 33, 97, 15, 79, 5, 69)(2, 66, 7, 71, 19, 83, 40, 104, 57, 121, 46, 110, 24, 88, 11, 75, 27, 91, 37, 101, 32, 96, 51, 115, 60, 124, 44, 108, 22, 86, 8, 72)(4, 68, 12, 76, 29, 93, 49, 113, 62, 126, 47, 111, 26, 90, 35, 99, 16, 80, 14, 78, 31, 95, 50, 114, 61, 125, 45, 109, 23, 87, 9, 73)(6, 70, 17, 81, 36, 100, 53, 117, 63, 127, 55, 119, 39, 103, 20, 84, 13, 77, 28, 92, 43, 107, 59, 123, 64, 128, 54, 118, 38, 102, 18, 82)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 80)(7, 69)(8, 85)(9, 81)(10, 88)(11, 67)(12, 84)(13, 68)(14, 82)(15, 96)(16, 98)(17, 72)(18, 101)(19, 103)(20, 71)(21, 99)(22, 107)(23, 106)(24, 100)(25, 111)(26, 74)(27, 77)(28, 75)(29, 105)(30, 76)(31, 79)(32, 102)(33, 113)(34, 91)(35, 92)(36, 87)(37, 94)(38, 93)(39, 95)(40, 120)(41, 83)(42, 86)(43, 90)(44, 89)(45, 123)(46, 122)(47, 117)(48, 124)(49, 118)(50, 119)(51, 97)(52, 121)(53, 110)(54, 104)(55, 115)(56, 114)(57, 128)(58, 109)(59, 108)(60, 127)(61, 112)(62, 116)(63, 126)(64, 125)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.545
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 40
	degree seq :: [ 32^4 ]

E11.554 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2 * T1^-1)^2, T1^8, T1^-1 * T2^-1 * T1^2 * T2^-7 * T1^-1 ]
Map::
	R = (1, 65, 3, 67, 10, 74, 21, 85, 36, 100, 52, 116, 58, 122, 42, 106, 26, 90, 41, 105, 57, 121, 56, 120, 40, 104, 25, 89, 13, 77, 5, 69)(2, 66, 7, 71, 17, 81, 31, 95, 47, 111, 63, 127, 49, 113, 33, 97, 24, 88, 37, 101, 53, 117, 64, 128, 48, 112, 32, 96, 18, 82, 8, 72)(4, 68, 11, 75, 23, 87, 39, 103, 55, 119, 60, 124, 44, 108, 28, 92, 14, 78, 27, 91, 43, 107, 59, 123, 51, 115, 35, 99, 20, 84, 9, 73)(6, 70, 15, 79, 29, 93, 45, 109, 61, 125, 54, 118, 38, 102, 22, 86, 12, 76, 19, 83, 34, 98, 50, 114, 62, 126, 46, 110, 30, 94, 16, 80)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 78)(7, 69)(8, 67)(9, 83)(10, 82)(11, 86)(12, 68)(13, 81)(14, 90)(15, 72)(16, 71)(17, 94)(18, 93)(19, 97)(20, 74)(21, 99)(22, 101)(23, 77)(24, 76)(25, 103)(26, 88)(27, 80)(28, 79)(29, 108)(30, 107)(31, 89)(32, 85)(33, 105)(34, 84)(35, 114)(36, 112)(37, 106)(38, 87)(39, 118)(40, 111)(41, 92)(42, 91)(43, 122)(44, 121)(45, 96)(46, 95)(47, 126)(48, 125)(49, 98)(50, 127)(51, 100)(52, 123)(53, 102)(54, 128)(55, 104)(56, 124)(57, 113)(58, 117)(59, 110)(60, 109)(61, 119)(62, 115)(63, 120)(64, 116)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.546
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 40
	degree seq :: [ 32^4 ]

E11.555 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-2 * T2 * T1^2 * T2 * T1^-4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67)(2, 66, 6, 70)(4, 68, 9, 73)(5, 69, 12, 76)(7, 71, 16, 80)(8, 72, 17, 81)(10, 74, 21, 85)(11, 75, 24, 88)(13, 77, 28, 92)(14, 78, 29, 93)(15, 79, 32, 96)(18, 82, 35, 99)(19, 83, 33, 97)(20, 84, 34, 98)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 48, 112)(26, 90, 49, 113)(27, 91, 52, 116)(30, 94, 53, 117)(31, 95, 55, 119)(36, 100, 59, 123)(37, 101, 43, 107)(38, 102, 58, 122)(39, 103, 56, 120)(40, 104, 57, 121)(42, 106, 50, 114)(45, 109, 60, 124)(46, 110, 61, 125)(47, 111, 62, 126)(51, 115, 63, 127)(54, 118, 64, 128)
	L = (1, 66)(2, 69)(3, 71)(4, 65)(5, 75)(6, 77)(7, 79)(8, 67)(9, 83)(10, 68)(11, 87)(12, 89)(13, 91)(14, 70)(15, 95)(16, 92)(17, 93)(18, 72)(19, 101)(20, 73)(21, 103)(22, 74)(23, 107)(24, 109)(25, 111)(26, 76)(27, 115)(28, 112)(29, 113)(30, 78)(31, 114)(32, 116)(33, 80)(34, 81)(35, 117)(36, 82)(37, 118)(38, 84)(39, 108)(40, 85)(41, 110)(42, 86)(43, 96)(44, 100)(45, 102)(46, 88)(47, 104)(48, 124)(49, 125)(50, 90)(51, 105)(52, 126)(53, 106)(54, 94)(55, 127)(56, 97)(57, 98)(58, 99)(59, 128)(60, 123)(61, 120)(62, 122)(63, 121)(64, 119)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.547
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.556 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^-2 * T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1)^8, T1^16 ]
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, 15, 79)(11, 75, 21, 85)(13, 77, 23, 87)(14, 78, 24, 88)(18, 82, 30, 94)(19, 83, 29, 93)(20, 84, 33, 97)(22, 86, 35, 99)(25, 89, 40, 104)(26, 90, 41, 105)(27, 91, 42, 106)(28, 92, 43, 107)(31, 95, 39, 103)(32, 96, 48, 112)(34, 98, 50, 114)(36, 100, 52, 116)(37, 101, 53, 117)(38, 102, 54, 118)(44, 108, 51, 115)(45, 109, 49, 113)(46, 110, 57, 121)(47, 111, 60, 124)(55, 119, 59, 123)(56, 120, 63, 127)(58, 122, 62, 126)(61, 125, 64, 128)
	L = (1, 66)(2, 69)(3, 71)(4, 65)(5, 75)(6, 77)(7, 79)(8, 67)(9, 82)(10, 68)(11, 84)(12, 72)(13, 73)(14, 70)(15, 89)(16, 90)(17, 92)(18, 93)(19, 74)(20, 96)(21, 78)(22, 76)(23, 100)(24, 102)(25, 103)(26, 81)(27, 80)(28, 99)(29, 108)(30, 101)(31, 83)(32, 111)(33, 86)(34, 85)(35, 115)(36, 88)(37, 87)(38, 114)(39, 118)(40, 91)(41, 119)(42, 112)(43, 120)(44, 121)(45, 94)(46, 95)(47, 123)(48, 98)(49, 97)(50, 104)(51, 109)(52, 125)(53, 124)(54, 126)(55, 106)(56, 105)(57, 107)(58, 110)(59, 128)(60, 113)(61, 117)(62, 116)(63, 122)(64, 127)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.548
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 12
	degree seq :: [ 4^32 ]

E11.557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 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, 63, 127)(58, 122, 64, 128)(59, 123, 61, 125)(60, 124, 62, 126)(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, 191)(58, 192)(59, 189)(60, 190)(61, 187)(62, 188)(63, 185)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.563
Graph:: bipartite
	v = 40 e = 128 f = 68
	degree seq :: [ 4^32, 16^8 ]

E11.558 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-2)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 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, 64, 128)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 61, 125)(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, 192)(58, 190)(59, 191)(60, 189)(61, 188)(62, 186)(63, 187)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.564
Graph:: bipartite
	v = 40 e = 128 f = 68
	degree seq :: [ 4^32, 16^8 ]

E11.559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^3, Y2^2 * Y1^-3 * Y2^2 * Y1^-1, Y1^8, Y2 * Y1^-1 * Y2^-7 * Y1^-1 ]
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, 53, 117, 46, 110, 58, 122, 45, 109, 59, 123, 44, 108)(33, 97, 49, 113, 54, 118, 40, 104, 56, 120, 50, 114, 55, 119, 51, 115)(48, 112, 60, 124, 63, 127, 62, 126, 52, 116, 57, 121, 64, 128, 61, 125)(129, 193, 131, 195, 138, 202, 153, 217, 176, 240, 184, 248, 169, 233, 158, 222, 162, 226, 149, 213, 170, 234, 186, 250, 180, 244, 161, 225, 143, 207, 133, 197)(130, 194, 135, 199, 147, 211, 168, 232, 185, 249, 174, 238, 152, 216, 139, 203, 155, 219, 165, 229, 160, 224, 179, 243, 188, 252, 172, 236, 150, 214, 136, 200)(132, 196, 140, 204, 157, 221, 177, 241, 190, 254, 175, 239, 154, 218, 163, 227, 144, 208, 142, 206, 159, 223, 178, 242, 189, 253, 173, 237, 151, 215, 137, 201)(134, 198, 145, 209, 164, 228, 181, 245, 191, 255, 183, 247, 167, 231, 148, 212, 141, 205, 156, 220, 171, 235, 187, 251, 192, 256, 182, 246, 166, 230, 146, 210)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 147)(8, 130)(9, 132)(10, 153)(11, 155)(12, 157)(13, 156)(14, 159)(15, 133)(16, 142)(17, 164)(18, 134)(19, 168)(20, 141)(21, 170)(22, 136)(23, 137)(24, 139)(25, 176)(26, 163)(27, 165)(28, 171)(29, 177)(30, 162)(31, 178)(32, 179)(33, 143)(34, 149)(35, 144)(36, 181)(37, 160)(38, 146)(39, 148)(40, 185)(41, 158)(42, 186)(43, 187)(44, 150)(45, 151)(46, 152)(47, 154)(48, 184)(49, 190)(50, 189)(51, 188)(52, 161)(53, 191)(54, 166)(55, 167)(56, 169)(57, 174)(58, 180)(59, 192)(60, 172)(61, 173)(62, 175)(63, 183)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 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 E11.561
Graph:: bipartite
	v = 12 e = 128 f = 96
	degree seq :: [ 16^8, 32^4 ]

E11.560 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, R * Y2 * R * Y3, (R * Y1)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^8, Y1^-1 * Y2^-1 * Y1 * Y2^7 * Y1^-2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 24, 88, 12, 76, 4, 68)(3, 67, 9, 73, 19, 83, 33, 97, 41, 105, 28, 92, 15, 79, 8, 72)(5, 69, 11, 75, 22, 86, 37, 101, 42, 106, 27, 91, 16, 80, 7, 71)(10, 74, 18, 82, 29, 93, 44, 108, 57, 121, 49, 113, 34, 98, 20, 84)(13, 77, 17, 81, 30, 94, 43, 107, 58, 122, 53, 117, 38, 102, 23, 87)(21, 85, 35, 99, 50, 114, 63, 127, 56, 120, 60, 124, 45, 109, 32, 96)(25, 89, 39, 103, 54, 118, 64, 128, 52, 116, 59, 123, 46, 110, 31, 95)(36, 100, 48, 112, 61, 125, 55, 119, 40, 104, 47, 111, 62, 126, 51, 115)(129, 193, 131, 195, 138, 202, 149, 213, 164, 228, 180, 244, 186, 250, 170, 234, 154, 218, 169, 233, 185, 249, 184, 248, 168, 232, 153, 217, 141, 205, 133, 197)(130, 194, 135, 199, 145, 209, 159, 223, 175, 239, 191, 255, 177, 241, 161, 225, 152, 216, 165, 229, 181, 245, 192, 256, 176, 240, 160, 224, 146, 210, 136, 200)(132, 196, 139, 203, 151, 215, 167, 231, 183, 247, 188, 252, 172, 236, 156, 220, 142, 206, 155, 219, 171, 235, 187, 251, 179, 243, 163, 227, 148, 212, 137, 201)(134, 198, 143, 207, 157, 221, 173, 237, 189, 253, 182, 246, 166, 230, 150, 214, 140, 204, 147, 211, 162, 226, 178, 242, 190, 254, 174, 238, 158, 222, 144, 208)
	L = (1, 131)(2, 135)(3, 138)(4, 139)(5, 129)(6, 143)(7, 145)(8, 130)(9, 132)(10, 149)(11, 151)(12, 147)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 162)(20, 137)(21, 164)(22, 140)(23, 167)(24, 165)(25, 141)(26, 169)(27, 171)(28, 142)(29, 173)(30, 144)(31, 175)(32, 146)(33, 152)(34, 178)(35, 148)(36, 180)(37, 181)(38, 150)(39, 183)(40, 153)(41, 185)(42, 154)(43, 187)(44, 156)(45, 189)(46, 158)(47, 191)(48, 160)(49, 161)(50, 190)(51, 163)(52, 186)(53, 192)(54, 166)(55, 188)(56, 168)(57, 184)(58, 170)(59, 179)(60, 172)(61, 182)(62, 174)(63, 177)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E11.562
Graph:: bipartite
	v = 12 e = 128 f = 96
	degree seq :: [ 16^8, 32^4 ]

E11.561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, Y3^-5 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3^4 * Y2)^2, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194)(131, 195, 135, 199)(132, 196, 137, 201)(133, 197, 139, 203)(134, 198, 141, 205)(136, 200, 145, 209)(138, 202, 149, 213)(140, 204, 153, 217)(142, 206, 157, 221)(143, 207, 151, 215)(144, 208, 155, 219)(146, 210, 163, 227)(147, 211, 152, 216)(148, 212, 156, 220)(150, 214, 169, 233)(154, 218, 175, 239)(158, 222, 181, 245)(159, 223, 173, 237)(160, 224, 179, 243)(161, 225, 171, 235)(162, 226, 177, 241)(164, 228, 182, 246)(165, 229, 174, 238)(166, 230, 180, 244)(167, 231, 172, 236)(168, 232, 178, 242)(170, 234, 176, 240)(183, 247, 191, 255)(184, 248, 192, 256)(185, 249, 190, 254)(186, 250, 188, 252)(187, 251, 189, 253)
	L = (1, 131)(2, 133)(3, 136)(4, 129)(5, 140)(6, 130)(7, 143)(8, 146)(9, 147)(10, 132)(11, 151)(12, 154)(13, 155)(14, 134)(15, 159)(16, 135)(17, 161)(18, 164)(19, 165)(20, 137)(21, 167)(22, 138)(23, 171)(24, 139)(25, 173)(26, 176)(27, 177)(28, 141)(29, 179)(30, 142)(31, 183)(32, 144)(33, 185)(34, 145)(35, 186)(36, 174)(37, 184)(38, 148)(39, 182)(40, 149)(41, 187)(42, 150)(43, 188)(44, 152)(45, 190)(46, 153)(47, 191)(48, 162)(49, 189)(50, 156)(51, 170)(52, 157)(53, 192)(54, 158)(55, 169)(56, 160)(57, 168)(58, 166)(59, 163)(60, 181)(61, 172)(62, 180)(63, 178)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.559
Graph:: simple bipartite
	v = 96 e = 128 f = 12
	degree seq :: [ 2^64, 4^32 ]

E11.562 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y2 * Y3 * Y2 * Y3^-3 * Y2 * Y3^3 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194)(131, 195, 135, 199)(132, 196, 137, 201)(133, 197, 139, 203)(134, 198, 141, 205)(136, 200, 142, 206)(138, 202, 140, 204)(143, 207, 153, 217)(144, 208, 154, 218)(145, 209, 155, 219)(146, 210, 157, 221)(147, 211, 158, 222)(148, 212, 160, 224)(149, 213, 161, 225)(150, 214, 162, 226)(151, 215, 164, 228)(152, 216, 165, 229)(156, 220, 166, 230)(159, 223, 163, 227)(167, 231, 183, 247)(168, 232, 184, 248)(169, 233, 179, 243)(170, 234, 178, 242)(171, 235, 177, 241)(172, 236, 182, 246)(173, 237, 181, 245)(174, 238, 180, 244)(175, 239, 187, 251)(176, 240, 188, 252)(185, 249, 190, 254)(186, 250, 189, 253)(191, 255, 192, 256)
	L = (1, 131)(2, 133)(3, 136)(4, 129)(5, 140)(6, 130)(7, 143)(8, 145)(9, 146)(10, 132)(11, 148)(12, 150)(13, 151)(14, 134)(15, 137)(16, 135)(17, 156)(18, 158)(19, 138)(20, 141)(21, 139)(22, 163)(23, 165)(24, 142)(25, 167)(26, 169)(27, 144)(28, 171)(29, 168)(30, 173)(31, 147)(32, 175)(33, 177)(34, 149)(35, 179)(36, 176)(37, 181)(38, 152)(39, 154)(40, 153)(41, 178)(42, 155)(43, 185)(44, 157)(45, 180)(46, 159)(47, 161)(48, 160)(49, 170)(50, 162)(51, 189)(52, 164)(53, 172)(54, 166)(55, 191)(56, 190)(57, 187)(58, 174)(59, 192)(60, 186)(61, 183)(62, 182)(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) :: { ( 16, 32 ), ( 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.560
Graph:: simple bipartite
	v = 96 e = 128 f = 12
	degree seq :: [ 2^64, 4^32 ]

E11.563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-4 ]
Map::
	R = (1, 65, 2, 66, 5, 69, 11, 75, 23, 87, 43, 107, 32, 96, 52, 116, 62, 126, 58, 122, 35, 99, 53, 117, 42, 106, 22, 86, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 31, 95, 50, 114, 26, 90, 12, 76, 25, 89, 47, 111, 40, 104, 21, 85, 39, 103, 44, 108, 36, 100, 18, 82, 8, 72)(6, 70, 13, 77, 27, 91, 51, 115, 41, 105, 46, 110, 24, 88, 45, 109, 38, 102, 20, 84, 9, 73, 19, 83, 37, 101, 54, 118, 30, 94, 14, 78)(16, 80, 28, 92, 48, 112, 60, 124, 59, 123, 64, 128, 55, 119, 63, 127, 57, 121, 34, 98, 17, 81, 29, 93, 49, 113, 61, 125, 56, 120, 33, 97)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 144)(8, 145)(9, 132)(10, 149)(11, 152)(12, 133)(13, 156)(14, 157)(15, 160)(16, 135)(17, 136)(18, 163)(19, 161)(20, 162)(21, 138)(22, 169)(23, 172)(24, 139)(25, 176)(26, 177)(27, 180)(28, 141)(29, 142)(30, 181)(31, 183)(32, 143)(33, 147)(34, 148)(35, 146)(36, 187)(37, 171)(38, 186)(39, 184)(40, 185)(41, 150)(42, 178)(43, 165)(44, 151)(45, 188)(46, 189)(47, 190)(48, 153)(49, 154)(50, 170)(51, 191)(52, 155)(53, 158)(54, 192)(55, 159)(56, 167)(57, 168)(58, 166)(59, 164)(60, 173)(61, 174)(62, 175)(63, 179)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 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 E11.557
Graph:: simple bipartite
	v = 68 e = 128 f = 40
	degree seq :: [ 2^64, 32^4 ]

E11.564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y1^-2 * Y3)^2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-3, (Y3 * Y1)^8, Y1^16 ]
Map::
	R = (1, 65, 2, 66, 5, 69, 11, 75, 20, 84, 32, 96, 47, 111, 59, 123, 64, 128, 63, 127, 58, 122, 46, 110, 31, 95, 19, 83, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 25, 89, 39, 103, 54, 118, 62, 126, 52, 116, 61, 125, 53, 117, 60, 124, 49, 113, 33, 97, 22, 86, 12, 76, 8, 72)(6, 70, 13, 77, 9, 73, 18, 82, 29, 93, 44, 108, 57, 121, 43, 107, 56, 120, 41, 105, 55, 119, 42, 106, 48, 112, 34, 98, 21, 85, 14, 78)(16, 80, 26, 90, 17, 81, 28, 92, 35, 99, 51, 115, 45, 109, 30, 94, 37, 101, 23, 87, 36, 100, 24, 88, 38, 102, 50, 114, 40, 104, 27, 91)(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, 161)(21, 139)(22, 163)(23, 141)(24, 142)(25, 168)(26, 169)(27, 170)(28, 171)(29, 147)(30, 146)(31, 167)(32, 176)(33, 148)(34, 178)(35, 150)(36, 180)(37, 181)(38, 182)(39, 159)(40, 153)(41, 154)(42, 155)(43, 156)(44, 179)(45, 177)(46, 185)(47, 188)(48, 160)(49, 173)(50, 162)(51, 172)(52, 164)(53, 165)(54, 166)(55, 187)(56, 191)(57, 174)(58, 190)(59, 183)(60, 175)(61, 192)(62, 186)(63, 184)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 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 E11.558
Graph:: simple bipartite
	v = 68 e = 128 f = 40
	degree seq :: [ 2^64, 32^4 ]

E11.565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-2 * R)^2, (Y2^-1 * Y1 * R * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y2^6 * Y1 * Y2^-1, (Y2^4 * Y1)^2, Y2^-1 * R * Y2^-6 * R * Y2^-1, (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, 47, 111)(30, 94, 53, 117)(31, 95, 45, 109)(32, 96, 51, 115)(33, 97, 43, 107)(34, 98, 49, 113)(36, 100, 54, 118)(37, 101, 46, 110)(38, 102, 52, 116)(39, 103, 44, 108)(40, 104, 50, 114)(42, 106, 48, 112)(55, 119, 63, 127)(56, 120, 64, 128)(57, 121, 62, 126)(58, 122, 60, 124)(59, 123, 61, 125)(129, 193, 131, 195, 136, 200, 146, 210, 164, 228, 174, 238, 153, 217, 173, 237, 190, 254, 180, 244, 157, 221, 179, 243, 170, 234, 150, 214, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 154, 218, 176, 240, 162, 226, 145, 209, 161, 225, 185, 249, 168, 232, 149, 213, 167, 231, 182, 246, 158, 222, 142, 206, 134, 198)(135, 199, 143, 207, 159, 223, 183, 247, 169, 233, 187, 251, 163, 227, 186, 250, 166, 230, 148, 212, 137, 201, 147, 211, 165, 229, 184, 248, 160, 224, 144, 208)(139, 203, 151, 215, 171, 235, 188, 252, 181, 245, 192, 256, 175, 239, 191, 255, 178, 242, 156, 220, 141, 205, 155, 219, 177, 241, 189, 253, 172, 236, 152, 216)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 151)(16, 155)(17, 136)(18, 163)(19, 152)(20, 156)(21, 138)(22, 169)(23, 143)(24, 147)(25, 140)(26, 175)(27, 144)(28, 148)(29, 142)(30, 181)(31, 173)(32, 179)(33, 171)(34, 177)(35, 146)(36, 182)(37, 174)(38, 180)(39, 172)(40, 178)(41, 150)(42, 176)(43, 161)(44, 167)(45, 159)(46, 165)(47, 154)(48, 170)(49, 162)(50, 168)(51, 160)(52, 166)(53, 158)(54, 164)(55, 191)(56, 192)(57, 190)(58, 188)(59, 189)(60, 186)(61, 187)(62, 185)(63, 183)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 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 E11.567
Graph:: bipartite
	v = 36 e = 128 f = 72
	degree seq :: [ 4^32, 32^4 ]

E11.566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^2 * Y1 * Y2^-1 * R)^2, Y1 * Y2 * Y1 * Y2^-3 * Y1 * Y2^3 * Y1 * Y2^-1, (Y3 * Y2^-1)^8, Y2^16 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 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, 32, 96)(21, 85, 33, 97)(22, 86, 34, 98)(23, 87, 36, 100)(24, 88, 37, 101)(28, 92, 38, 102)(31, 95, 35, 99)(39, 103, 55, 119)(40, 104, 56, 120)(41, 105, 51, 115)(42, 106, 50, 114)(43, 107, 49, 113)(44, 108, 54, 118)(45, 109, 53, 117)(46, 110, 52, 116)(47, 111, 59, 123)(48, 112, 60, 124)(57, 121, 62, 126)(58, 122, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195, 136, 200, 145, 209, 156, 220, 171, 235, 185, 249, 187, 251, 192, 256, 188, 252, 186, 250, 174, 238, 159, 223, 147, 211, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 150, 214, 163, 227, 179, 243, 189, 253, 183, 247, 191, 255, 184, 248, 190, 254, 182, 246, 166, 230, 152, 216, 142, 206, 134, 198)(135, 199, 143, 207, 137, 201, 146, 210, 158, 222, 173, 237, 180, 244, 164, 228, 176, 240, 160, 224, 175, 239, 161, 225, 177, 241, 170, 234, 155, 219, 144, 208)(139, 203, 148, 212, 141, 205, 151, 215, 165, 229, 181, 245, 172, 236, 157, 221, 168, 232, 153, 217, 167, 231, 154, 218, 169, 233, 178, 242, 162, 226, 149, 213)
	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, 160)(21, 161)(22, 162)(23, 164)(24, 165)(25, 143)(26, 144)(27, 145)(28, 166)(29, 146)(30, 147)(31, 163)(32, 148)(33, 149)(34, 150)(35, 159)(36, 151)(37, 152)(38, 156)(39, 183)(40, 184)(41, 179)(42, 178)(43, 177)(44, 182)(45, 181)(46, 180)(47, 187)(48, 188)(49, 171)(50, 170)(51, 169)(52, 174)(53, 173)(54, 172)(55, 167)(56, 168)(57, 190)(58, 189)(59, 175)(60, 176)(61, 186)(62, 185)(63, 192)(64, 191)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 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 E11.568
Graph:: bipartite
	v = 36 e = 128 f = 72
	degree seq :: [ 4^32, 32^4 ]

E11.567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^3, Y3^2 * Y1^-3 * Y3^2 * Y1^-1, Y1^8, Y3^6 * Y1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^16 ]
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, 53, 117, 46, 110, 58, 122, 45, 109, 59, 123, 44, 108)(33, 97, 49, 113, 54, 118, 40, 104, 56, 120, 50, 114, 55, 119, 51, 115)(48, 112, 60, 124, 63, 127, 62, 126, 52, 116, 57, 121, 64, 128, 61, 125)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 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, 181)(37, 160)(38, 146)(39, 148)(40, 185)(41, 158)(42, 186)(43, 187)(44, 150)(45, 151)(46, 152)(47, 154)(48, 184)(49, 190)(50, 189)(51, 188)(52, 161)(53, 191)(54, 166)(55, 167)(56, 169)(57, 174)(58, 180)(59, 192)(60, 172)(61, 173)(62, 175)(63, 183)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.565
Graph:: simple bipartite
	v = 72 e = 128 f = 36
	degree seq :: [ 2^64, 16^8 ]

E11.568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 42>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, Y1^-1 * Y3^-1 * Y1^2 * Y3^-7 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 24, 88, 12, 76, 4, 68)(3, 67, 9, 73, 19, 83, 33, 97, 41, 105, 28, 92, 15, 79, 8, 72)(5, 69, 11, 75, 22, 86, 37, 101, 42, 106, 27, 91, 16, 80, 7, 71)(10, 74, 18, 82, 29, 93, 44, 108, 57, 121, 49, 113, 34, 98, 20, 84)(13, 77, 17, 81, 30, 94, 43, 107, 58, 122, 53, 117, 38, 102, 23, 87)(21, 85, 35, 99, 50, 114, 63, 127, 56, 120, 60, 124, 45, 109, 32, 96)(25, 89, 39, 103, 54, 118, 64, 128, 52, 116, 59, 123, 46, 110, 31, 95)(36, 100, 48, 112, 61, 125, 55, 119, 40, 104, 47, 111, 62, 126, 51, 115)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 139)(5, 129)(6, 143)(7, 145)(8, 130)(9, 132)(10, 149)(11, 151)(12, 147)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 162)(20, 137)(21, 164)(22, 140)(23, 167)(24, 165)(25, 141)(26, 169)(27, 171)(28, 142)(29, 173)(30, 144)(31, 175)(32, 146)(33, 152)(34, 178)(35, 148)(36, 180)(37, 181)(38, 150)(39, 183)(40, 153)(41, 185)(42, 154)(43, 187)(44, 156)(45, 189)(46, 158)(47, 191)(48, 160)(49, 161)(50, 190)(51, 163)(52, 186)(53, 192)(54, 166)(55, 188)(56, 168)(57, 184)(58, 170)(59, 179)(60, 172)(61, 182)(62, 174)(63, 177)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E11.566
Graph:: simple bipartite
	v = 72 e = 128 f = 36
	degree seq :: [ 2^64, 16^8 ]

E11.569 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 33})
Quotient :: regular
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^7 * T2 * T1^-4 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 60, 49, 33, 16, 28, 42, 35, 46, 58, 65, 66, 61, 48, 32, 45, 34, 17, 29, 43, 56, 64, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 55, 40, 30, 14, 6, 13, 27, 21, 37, 51, 63, 54, 44, 26, 12, 25, 20, 9, 19, 36, 50, 62, 57, 41, 24, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 62)(55, 64)(57, 65)(59, 66)
	local type(s) :: { ( 6^33 ) }
Outer automorphisms :: reflexible
Dual of E11.570
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 33 f = 11
	degree seq :: [ 33^2 ]

E11.570 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 33})
Quotient :: regular
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 12, 20, 17, 8)(6, 13, 19, 18, 9, 14)(15, 23, 27, 25, 16, 24)(21, 28, 26, 30, 22, 29)(31, 37, 33, 39, 32, 38)(34, 40, 36, 42, 35, 41)(43, 49, 45, 51, 44, 50)(46, 52, 48, 54, 47, 53)(55, 61, 57, 63, 56, 62)(58, 64, 60, 66, 59, 65)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 58)(53, 59)(54, 60)(61, 66)(62, 64)(63, 65)
	local type(s) :: { ( 33^6 ) }
Outer automorphisms :: reflexible
Dual of E11.569
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 11 e = 33 f = 2
	degree seq :: [ 6^11 ]

E11.571 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 33})
Quotient :: edge
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^33 ]
Map::
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 24, 18, 9, 16)(11, 19, 28, 22, 13, 20)(23, 31, 26, 33, 25, 32)(27, 34, 30, 36, 29, 35)(37, 43, 39, 45, 38, 44)(40, 46, 42, 48, 41, 47)(49, 55, 51, 57, 50, 56)(52, 58, 54, 60, 53, 59)(61, 65, 63, 64, 62, 66)(67, 68)(69, 73)(70, 75)(71, 77)(72, 79)(74, 78)(76, 80)(81, 89)(82, 91)(83, 90)(84, 92)(85, 93)(86, 95)(87, 94)(88, 96)(97, 103)(98, 104)(99, 105)(100, 106)(101, 107)(102, 108)(109, 115)(110, 116)(111, 117)(112, 118)(113, 119)(114, 120)(121, 127)(122, 128)(123, 129)(124, 130)(125, 131)(126, 132)
	L = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 66, 66 ), ( 66^6 ) }
Outer automorphisms :: reflexible
Dual of E11.575
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 66 f = 2
	degree seq :: [ 2^33, 6^11 ]

E11.572 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 33})
Quotient :: edge
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-3 * T2^-1, T1^6, T2^-1 * T1^3 * T2^-1 * T1, T2^-2 * T1^-2 * T2^-9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 55, 43, 31, 20, 13, 21, 33, 45, 57, 66, 65, 54, 42, 30, 18, 6, 17, 29, 41, 53, 64, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 59, 47, 35, 23, 9, 4, 12, 26, 38, 50, 62, 60, 48, 36, 24, 11, 16, 14, 27, 39, 51, 63, 58, 46, 34, 22, 8)(67, 68, 72, 82, 79, 70)(69, 75, 83, 74, 87, 77)(71, 80, 84, 78, 86, 73)(76, 90, 95, 89, 99, 88)(81, 92, 96, 85, 97, 93)(91, 100, 107, 102, 111, 101)(94, 98, 108, 105, 109, 104)(103, 113, 119, 112, 123, 114)(106, 117, 120, 116, 121, 110)(115, 126, 130, 125, 132, 124)(118, 128, 131, 122, 127, 129)
	L = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 4^6 ), ( 4^33 ) }
Outer automorphisms :: reflexible
Dual of E11.576
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 66 f = 33
	degree seq :: [ 6^11, 33^2 ]

E11.573 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 33})
Quotient :: edge
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^7 * T2 * T1^-4 * T2 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 62)(55, 64)(57, 65)(59, 66)(67, 68, 71, 77, 89, 105, 119, 126, 115, 99, 82, 94, 108, 101, 112, 124, 131, 132, 127, 114, 98, 111, 100, 83, 95, 109, 122, 130, 118, 104, 88, 76, 70)(69, 73, 81, 97, 113, 125, 121, 106, 96, 80, 72, 79, 93, 87, 103, 117, 129, 120, 110, 92, 78, 91, 86, 75, 85, 102, 116, 128, 123, 107, 90, 84, 74)
	L = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 12, 12 ), ( 12^33 ) }
Outer automorphisms :: reflexible
Dual of E11.574
Transitivity :: ET+
Graph:: simple bipartite
	v = 35 e = 66 f = 11
	degree seq :: [ 2^33, 33^2 ]

E11.574 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 33})
Quotient :: loop
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^33 ]
Map::
	R = (1, 67, 3, 69, 8, 74, 17, 83, 10, 76, 4, 70)(2, 68, 5, 71, 12, 78, 21, 87, 14, 80, 6, 72)(7, 73, 15, 81, 24, 90, 18, 84, 9, 75, 16, 82)(11, 77, 19, 85, 28, 94, 22, 88, 13, 79, 20, 86)(23, 89, 31, 97, 26, 92, 33, 99, 25, 91, 32, 98)(27, 93, 34, 100, 30, 96, 36, 102, 29, 95, 35, 101)(37, 103, 43, 109, 39, 105, 45, 111, 38, 104, 44, 110)(40, 106, 46, 112, 42, 108, 48, 114, 41, 107, 47, 113)(49, 115, 55, 121, 51, 117, 57, 123, 50, 116, 56, 122)(52, 118, 58, 124, 54, 120, 60, 126, 53, 119, 59, 125)(61, 127, 65, 131, 63, 129, 64, 130, 62, 128, 66, 132)
	L = (1, 68)(2, 67)(3, 73)(4, 75)(5, 77)(6, 79)(7, 69)(8, 78)(9, 70)(10, 80)(11, 71)(12, 74)(13, 72)(14, 76)(15, 89)(16, 91)(17, 90)(18, 92)(19, 93)(20, 95)(21, 94)(22, 96)(23, 81)(24, 83)(25, 82)(26, 84)(27, 85)(28, 87)(29, 86)(30, 88)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 121)(62, 122)(63, 123)(64, 124)(65, 125)(66, 126)
	local type(s) :: { ( 2, 33, 2, 33, 2, 33, 2, 33, 2, 33, 2, 33 ) }
Outer automorphisms :: reflexible
Dual of E11.573
Transitivity :: ET+ VT+ AT
Graph::
	v = 11 e = 66 f = 35
	degree seq :: [ 12^11 ]

E11.575 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 33})
Quotient :: loop
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-3 * T2^-1, T1^6, T2^-1 * T1^3 * T2^-1 * T1, T2^-2 * T1^-2 * T2^-9 ]
Map::
	R = (1, 67, 3, 69, 10, 76, 25, 91, 37, 103, 49, 115, 61, 127, 55, 121, 43, 109, 31, 97, 20, 86, 13, 79, 21, 87, 33, 99, 45, 111, 57, 123, 66, 132, 65, 131, 54, 120, 42, 108, 30, 96, 18, 84, 6, 72, 17, 83, 29, 95, 41, 107, 53, 119, 64, 130, 52, 118, 40, 106, 28, 94, 15, 81, 5, 71)(2, 68, 7, 73, 19, 85, 32, 98, 44, 110, 56, 122, 59, 125, 47, 113, 35, 101, 23, 89, 9, 75, 4, 70, 12, 78, 26, 92, 38, 104, 50, 116, 62, 128, 60, 126, 48, 114, 36, 102, 24, 90, 11, 77, 16, 82, 14, 80, 27, 93, 39, 105, 51, 117, 63, 129, 58, 124, 46, 112, 34, 100, 22, 88, 8, 74)
	L = (1, 68)(2, 72)(3, 75)(4, 67)(5, 80)(6, 82)(7, 71)(8, 87)(9, 83)(10, 90)(11, 69)(12, 86)(13, 70)(14, 84)(15, 92)(16, 79)(17, 74)(18, 78)(19, 97)(20, 73)(21, 77)(22, 76)(23, 99)(24, 95)(25, 100)(26, 96)(27, 81)(28, 98)(29, 89)(30, 85)(31, 93)(32, 108)(33, 88)(34, 107)(35, 91)(36, 111)(37, 113)(38, 94)(39, 109)(40, 117)(41, 102)(42, 105)(43, 104)(44, 106)(45, 101)(46, 123)(47, 119)(48, 103)(49, 126)(50, 121)(51, 120)(52, 128)(53, 112)(54, 116)(55, 110)(56, 127)(57, 114)(58, 115)(59, 132)(60, 130)(61, 129)(62, 131)(63, 118)(64, 125)(65, 122)(66, 124)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.571
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 66 f = 44
	degree seq :: [ 66^2 ]

E11.576 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 33})
Quotient :: loop
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^7 * T2 * T1^-4 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 67, 3, 69)(2, 68, 6, 72)(4, 70, 9, 75)(5, 71, 12, 78)(7, 73, 16, 82)(8, 74, 17, 83)(10, 76, 21, 87)(11, 77, 24, 90)(13, 79, 28, 94)(14, 80, 29, 95)(15, 81, 32, 98)(18, 84, 35, 101)(19, 85, 33, 99)(20, 86, 34, 100)(22, 88, 31, 97)(23, 89, 40, 106)(25, 91, 42, 108)(26, 92, 43, 109)(27, 93, 45, 111)(30, 96, 46, 112)(36, 102, 48, 114)(37, 103, 49, 115)(38, 104, 50, 116)(39, 105, 54, 120)(41, 107, 56, 122)(44, 110, 58, 124)(47, 113, 60, 126)(51, 117, 61, 127)(52, 118, 63, 129)(53, 119, 62, 128)(55, 121, 64, 130)(57, 123, 65, 131)(59, 125, 66, 132)
	L = (1, 68)(2, 71)(3, 73)(4, 67)(5, 77)(6, 79)(7, 81)(8, 69)(9, 85)(10, 70)(11, 89)(12, 91)(13, 93)(14, 72)(15, 97)(16, 94)(17, 95)(18, 74)(19, 102)(20, 75)(21, 103)(22, 76)(23, 105)(24, 84)(25, 86)(26, 78)(27, 87)(28, 108)(29, 109)(30, 80)(31, 113)(32, 111)(33, 82)(34, 83)(35, 112)(36, 116)(37, 117)(38, 88)(39, 119)(40, 96)(41, 90)(42, 101)(43, 122)(44, 92)(45, 100)(46, 124)(47, 125)(48, 98)(49, 99)(50, 128)(51, 129)(52, 104)(53, 126)(54, 110)(55, 106)(56, 130)(57, 107)(58, 131)(59, 121)(60, 115)(61, 114)(62, 123)(63, 120)(64, 118)(65, 132)(66, 127)
	local type(s) :: { ( 6, 33, 6, 33 ) }
Outer automorphisms :: reflexible
Dual of E11.572
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 33 e = 66 f = 13
	degree seq :: [ 4^33 ]

E11.577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 33})
Quotient :: dipole
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^33 ]
Map::
	R = (1, 67, 2, 68)(3, 69, 7, 73)(4, 70, 9, 75)(5, 71, 11, 77)(6, 72, 13, 79)(8, 74, 12, 78)(10, 76, 14, 80)(15, 81, 23, 89)(16, 82, 25, 91)(17, 83, 24, 90)(18, 84, 26, 92)(19, 85, 27, 93)(20, 86, 29, 95)(21, 87, 28, 94)(22, 88, 30, 96)(31, 97, 37, 103)(32, 98, 38, 104)(33, 99, 39, 105)(34, 100, 40, 106)(35, 101, 41, 107)(36, 102, 42, 108)(43, 109, 49, 115)(44, 110, 50, 116)(45, 111, 51, 117)(46, 112, 52, 118)(47, 113, 53, 119)(48, 114, 54, 120)(55, 121, 61, 127)(56, 122, 62, 128)(57, 123, 63, 129)(58, 124, 64, 130)(59, 125, 65, 131)(60, 126, 66, 132)(133, 199, 135, 201, 140, 206, 149, 215, 142, 208, 136, 202)(134, 200, 137, 203, 144, 210, 153, 219, 146, 212, 138, 204)(139, 205, 147, 213, 156, 222, 150, 216, 141, 207, 148, 214)(143, 209, 151, 217, 160, 226, 154, 220, 145, 211, 152, 218)(155, 221, 163, 229, 158, 224, 165, 231, 157, 223, 164, 230)(159, 225, 166, 232, 162, 228, 168, 234, 161, 227, 167, 233)(169, 235, 175, 241, 171, 237, 177, 243, 170, 236, 176, 242)(172, 238, 178, 244, 174, 240, 180, 246, 173, 239, 179, 245)(181, 247, 187, 253, 183, 249, 189, 255, 182, 248, 188, 254)(184, 250, 190, 256, 186, 252, 192, 258, 185, 251, 191, 257)(193, 259, 197, 263, 195, 261, 196, 262, 194, 260, 198, 264)
	L = (1, 134)(2, 133)(3, 139)(4, 141)(5, 143)(6, 145)(7, 135)(8, 144)(9, 136)(10, 146)(11, 137)(12, 140)(13, 138)(14, 142)(15, 155)(16, 157)(17, 156)(18, 158)(19, 159)(20, 161)(21, 160)(22, 162)(23, 147)(24, 149)(25, 148)(26, 150)(27, 151)(28, 153)(29, 152)(30, 154)(31, 169)(32, 170)(33, 171)(34, 172)(35, 173)(36, 174)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 181)(44, 182)(45, 183)(46, 184)(47, 185)(48, 186)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 193)(56, 194)(57, 195)(58, 196)(59, 197)(60, 198)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 2, 66, 2, 66 ), ( 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66 ) }
Outer automorphisms :: reflexible
Dual of E11.580
Graph:: bipartite
	v = 44 e = 132 f = 68
	degree seq :: [ 4^33, 12^11 ]

E11.578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 33})
Quotient :: dipole
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^6, Y1^-1 * Y2^-1 * Y1 * Y2^10 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 16, 82, 13, 79, 4, 70)(3, 69, 9, 75, 17, 83, 8, 74, 21, 87, 11, 77)(5, 71, 14, 80, 18, 84, 12, 78, 20, 86, 7, 73)(10, 76, 24, 90, 29, 95, 23, 89, 33, 99, 22, 88)(15, 81, 26, 92, 30, 96, 19, 85, 31, 97, 27, 93)(25, 91, 34, 100, 41, 107, 36, 102, 45, 111, 35, 101)(28, 94, 32, 98, 42, 108, 39, 105, 43, 109, 38, 104)(37, 103, 47, 113, 53, 119, 46, 112, 57, 123, 48, 114)(40, 106, 51, 117, 54, 120, 50, 116, 55, 121, 44, 110)(49, 115, 60, 126, 64, 130, 59, 125, 66, 132, 58, 124)(52, 118, 62, 128, 65, 131, 56, 122, 61, 127, 63, 129)(133, 199, 135, 201, 142, 208, 157, 223, 169, 235, 181, 247, 193, 259, 187, 253, 175, 241, 163, 229, 152, 218, 145, 211, 153, 219, 165, 231, 177, 243, 189, 255, 198, 264, 197, 263, 186, 252, 174, 240, 162, 228, 150, 216, 138, 204, 149, 215, 161, 227, 173, 239, 185, 251, 196, 262, 184, 250, 172, 238, 160, 226, 147, 213, 137, 203)(134, 200, 139, 205, 151, 217, 164, 230, 176, 242, 188, 254, 191, 257, 179, 245, 167, 233, 155, 221, 141, 207, 136, 202, 144, 210, 158, 224, 170, 236, 182, 248, 194, 260, 192, 258, 180, 246, 168, 234, 156, 222, 143, 209, 148, 214, 146, 212, 159, 225, 171, 237, 183, 249, 195, 261, 190, 256, 178, 244, 166, 232, 154, 220, 140, 206)
	L = (1, 135)(2, 139)(3, 142)(4, 144)(5, 133)(6, 149)(7, 151)(8, 134)(9, 136)(10, 157)(11, 148)(12, 158)(13, 153)(14, 159)(15, 137)(16, 146)(17, 161)(18, 138)(19, 164)(20, 145)(21, 165)(22, 140)(23, 141)(24, 143)(25, 169)(26, 170)(27, 171)(28, 147)(29, 173)(30, 150)(31, 152)(32, 176)(33, 177)(34, 154)(35, 155)(36, 156)(37, 181)(38, 182)(39, 183)(40, 160)(41, 185)(42, 162)(43, 163)(44, 188)(45, 189)(46, 166)(47, 167)(48, 168)(49, 193)(50, 194)(51, 195)(52, 172)(53, 196)(54, 174)(55, 175)(56, 191)(57, 198)(58, 178)(59, 179)(60, 180)(61, 187)(62, 192)(63, 190)(64, 184)(65, 186)(66, 197)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	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 ) }
Outer automorphisms :: reflexible
Dual of E11.579
Graph:: bipartite
	v = 13 e = 132 f = 99
	degree seq :: [ 12^11, 66^2 ]

E11.579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 33})
Quotient :: dipole
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-3 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^10 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^33 ]
Map:: polytopal
	R = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)(133, 199, 134, 200)(135, 201, 139, 205)(136, 202, 141, 207)(137, 203, 143, 209)(138, 204, 145, 211)(140, 206, 149, 215)(142, 208, 153, 219)(144, 210, 157, 223)(146, 212, 161, 227)(147, 213, 155, 221)(148, 214, 159, 225)(150, 216, 162, 228)(151, 217, 156, 222)(152, 218, 160, 226)(154, 220, 158, 224)(163, 229, 173, 239)(164, 230, 177, 243)(165, 231, 171, 237)(166, 232, 176, 242)(167, 233, 179, 245)(168, 234, 174, 240)(169, 235, 172, 238)(170, 236, 182, 248)(175, 241, 185, 251)(178, 244, 188, 254)(180, 246, 189, 255)(181, 247, 192, 258)(183, 249, 186, 252)(184, 250, 195, 261)(187, 253, 197, 263)(190, 256, 198, 264)(191, 257, 196, 262)(193, 259, 194, 260)
	L = (1, 135)(2, 137)(3, 140)(4, 133)(5, 144)(6, 134)(7, 147)(8, 150)(9, 151)(10, 136)(11, 155)(12, 158)(13, 159)(14, 138)(15, 163)(16, 139)(17, 165)(18, 167)(19, 168)(20, 141)(21, 169)(22, 142)(23, 171)(24, 143)(25, 173)(26, 175)(27, 176)(28, 145)(29, 177)(30, 146)(31, 153)(32, 148)(33, 152)(34, 149)(35, 181)(36, 182)(37, 183)(38, 154)(39, 161)(40, 156)(41, 160)(42, 157)(43, 187)(44, 188)(45, 189)(46, 162)(47, 164)(48, 166)(49, 193)(50, 194)(51, 195)(52, 170)(53, 172)(54, 174)(55, 191)(56, 196)(57, 198)(58, 178)(59, 179)(60, 180)(61, 185)(62, 190)(63, 192)(64, 184)(65, 186)(66, 197)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 12, 66 ), ( 12, 66, 12, 66 ) }
Outer automorphisms :: reflexible
Dual of E11.578
Graph:: simple bipartite
	v = 99 e = 132 f = 13
	degree seq :: [ 2^66, 4^33 ]

E11.580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 33})
Quotient :: dipole
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^7 * Y3 * Y1^-4 * Y3 ]
Map::
	R = (1, 67, 2, 68, 5, 71, 11, 77, 23, 89, 39, 105, 53, 119, 60, 126, 49, 115, 33, 99, 16, 82, 28, 94, 42, 108, 35, 101, 46, 112, 58, 124, 65, 131, 66, 132, 61, 127, 48, 114, 32, 98, 45, 111, 34, 100, 17, 83, 29, 95, 43, 109, 56, 122, 64, 130, 52, 118, 38, 104, 22, 88, 10, 76, 4, 70)(3, 69, 7, 73, 15, 81, 31, 97, 47, 113, 59, 125, 55, 121, 40, 106, 30, 96, 14, 80, 6, 72, 13, 79, 27, 93, 21, 87, 37, 103, 51, 117, 63, 129, 54, 120, 44, 110, 26, 92, 12, 78, 25, 91, 20, 86, 9, 75, 19, 85, 36, 102, 50, 116, 62, 128, 57, 123, 41, 107, 24, 90, 18, 84, 8, 74)(133, 199)(134, 200)(135, 201)(136, 202)(137, 203)(138, 204)(139, 205)(140, 206)(141, 207)(142, 208)(143, 209)(144, 210)(145, 211)(146, 212)(147, 213)(148, 214)(149, 215)(150, 216)(151, 217)(152, 218)(153, 219)(154, 220)(155, 221)(156, 222)(157, 223)(158, 224)(159, 225)(160, 226)(161, 227)(162, 228)(163, 229)(164, 230)(165, 231)(166, 232)(167, 233)(168, 234)(169, 235)(170, 236)(171, 237)(172, 238)(173, 239)(174, 240)(175, 241)(176, 242)(177, 243)(178, 244)(179, 245)(180, 246)(181, 247)(182, 248)(183, 249)(184, 250)(185, 251)(186, 252)(187, 253)(188, 254)(189, 255)(190, 256)(191, 257)(192, 258)(193, 259)(194, 260)(195, 261)(196, 262)(197, 263)(198, 264)
	L = (1, 135)(2, 138)(3, 133)(4, 141)(5, 144)(6, 134)(7, 148)(8, 149)(9, 136)(10, 153)(11, 156)(12, 137)(13, 160)(14, 161)(15, 164)(16, 139)(17, 140)(18, 167)(19, 165)(20, 166)(21, 142)(22, 163)(23, 172)(24, 143)(25, 174)(26, 175)(27, 177)(28, 145)(29, 146)(30, 178)(31, 154)(32, 147)(33, 151)(34, 152)(35, 150)(36, 180)(37, 181)(38, 182)(39, 186)(40, 155)(41, 188)(42, 157)(43, 158)(44, 190)(45, 159)(46, 162)(47, 192)(48, 168)(49, 169)(50, 170)(51, 193)(52, 195)(53, 194)(54, 171)(55, 196)(56, 173)(57, 197)(58, 176)(59, 198)(60, 179)(61, 183)(62, 185)(63, 184)(64, 187)(65, 189)(66, 191)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.577
Graph:: simple bipartite
	v = 68 e = 132 f = 44
	degree seq :: [ 2^66, 66^2 ]

E11.581 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 33})
Quotient :: dipole
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^6, Y2^3 * Y1 * Y2^-7 * Y1 * Y2 ]
Map::
	R = (1, 67, 2, 68)(3, 69, 7, 73)(4, 70, 9, 75)(5, 71, 11, 77)(6, 72, 13, 79)(8, 74, 17, 83)(10, 76, 21, 87)(12, 78, 25, 91)(14, 80, 29, 95)(15, 81, 23, 89)(16, 82, 27, 93)(18, 84, 30, 96)(19, 85, 24, 90)(20, 86, 28, 94)(22, 88, 26, 92)(31, 97, 41, 107)(32, 98, 45, 111)(33, 99, 39, 105)(34, 100, 44, 110)(35, 101, 47, 113)(36, 102, 42, 108)(37, 103, 40, 106)(38, 104, 50, 116)(43, 109, 53, 119)(46, 112, 56, 122)(48, 114, 57, 123)(49, 115, 60, 126)(51, 117, 54, 120)(52, 118, 63, 129)(55, 121, 65, 131)(58, 124, 66, 132)(59, 125, 64, 130)(61, 127, 62, 128)(133, 199, 135, 201, 140, 206, 150, 216, 167, 233, 181, 247, 193, 259, 185, 251, 172, 238, 156, 222, 143, 209, 155, 221, 171, 237, 161, 227, 177, 243, 189, 255, 198, 264, 197, 263, 186, 252, 174, 240, 157, 223, 173, 239, 160, 226, 145, 211, 159, 225, 176, 242, 188, 254, 196, 262, 184, 250, 170, 236, 154, 220, 142, 208, 136, 202)(134, 200, 137, 203, 144, 210, 158, 224, 175, 241, 187, 253, 191, 257, 179, 245, 164, 230, 148, 214, 139, 205, 147, 213, 163, 229, 153, 219, 169, 235, 183, 249, 195, 261, 192, 258, 180, 246, 166, 232, 149, 215, 165, 231, 152, 218, 141, 207, 151, 217, 168, 234, 182, 248, 194, 260, 190, 256, 178, 244, 162, 228, 146, 212, 138, 204)
	L = (1, 134)(2, 133)(3, 139)(4, 141)(5, 143)(6, 145)(7, 135)(8, 149)(9, 136)(10, 153)(11, 137)(12, 157)(13, 138)(14, 161)(15, 155)(16, 159)(17, 140)(18, 162)(19, 156)(20, 160)(21, 142)(22, 158)(23, 147)(24, 151)(25, 144)(26, 154)(27, 148)(28, 152)(29, 146)(30, 150)(31, 173)(32, 177)(33, 171)(34, 176)(35, 179)(36, 174)(37, 172)(38, 182)(39, 165)(40, 169)(41, 163)(42, 168)(43, 185)(44, 166)(45, 164)(46, 188)(47, 167)(48, 189)(49, 192)(50, 170)(51, 186)(52, 195)(53, 175)(54, 183)(55, 197)(56, 178)(57, 180)(58, 198)(59, 196)(60, 181)(61, 194)(62, 193)(63, 184)(64, 191)(65, 187)(66, 190)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.582
Graph:: bipartite
	v = 35 e = 132 f = 77
	degree seq :: [ 4^33, 66^2 ]

E11.582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 33})
Quotient :: dipole
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, Y1^6, Y1^-1 * Y3^-1 * Y1 * Y3^10, (Y3 * Y2^-1)^33 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 16, 82, 13, 79, 4, 70)(3, 69, 9, 75, 17, 83, 8, 74, 21, 87, 11, 77)(5, 71, 14, 80, 18, 84, 12, 78, 20, 86, 7, 73)(10, 76, 24, 90, 29, 95, 23, 89, 33, 99, 22, 88)(15, 81, 26, 92, 30, 96, 19, 85, 31, 97, 27, 93)(25, 91, 34, 100, 41, 107, 36, 102, 45, 111, 35, 101)(28, 94, 32, 98, 42, 108, 39, 105, 43, 109, 38, 104)(37, 103, 47, 113, 53, 119, 46, 112, 57, 123, 48, 114)(40, 106, 51, 117, 54, 120, 50, 116, 55, 121, 44, 110)(49, 115, 60, 126, 64, 130, 59, 125, 66, 132, 58, 124)(52, 118, 62, 128, 65, 131, 56, 122, 61, 127, 63, 129)(133, 199)(134, 200)(135, 201)(136, 202)(137, 203)(138, 204)(139, 205)(140, 206)(141, 207)(142, 208)(143, 209)(144, 210)(145, 211)(146, 212)(147, 213)(148, 214)(149, 215)(150, 216)(151, 217)(152, 218)(153, 219)(154, 220)(155, 221)(156, 222)(157, 223)(158, 224)(159, 225)(160, 226)(161, 227)(162, 228)(163, 229)(164, 230)(165, 231)(166, 232)(167, 233)(168, 234)(169, 235)(170, 236)(171, 237)(172, 238)(173, 239)(174, 240)(175, 241)(176, 242)(177, 243)(178, 244)(179, 245)(180, 246)(181, 247)(182, 248)(183, 249)(184, 250)(185, 251)(186, 252)(187, 253)(188, 254)(189, 255)(190, 256)(191, 257)(192, 258)(193, 259)(194, 260)(195, 261)(196, 262)(197, 263)(198, 264)
	L = (1, 135)(2, 139)(3, 142)(4, 144)(5, 133)(6, 149)(7, 151)(8, 134)(9, 136)(10, 157)(11, 148)(12, 158)(13, 153)(14, 159)(15, 137)(16, 146)(17, 161)(18, 138)(19, 164)(20, 145)(21, 165)(22, 140)(23, 141)(24, 143)(25, 169)(26, 170)(27, 171)(28, 147)(29, 173)(30, 150)(31, 152)(32, 176)(33, 177)(34, 154)(35, 155)(36, 156)(37, 181)(38, 182)(39, 183)(40, 160)(41, 185)(42, 162)(43, 163)(44, 188)(45, 189)(46, 166)(47, 167)(48, 168)(49, 193)(50, 194)(51, 195)(52, 172)(53, 196)(54, 174)(55, 175)(56, 191)(57, 198)(58, 178)(59, 179)(60, 180)(61, 187)(62, 192)(63, 190)(64, 184)(65, 186)(66, 197)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 4, 66 ), ( 4, 66, 4, 66, 4, 66, 4, 66, 4, 66, 4, 66 ) }
Outer automorphisms :: reflexible
Dual of E11.581
Graph:: simple bipartite
	v = 77 e = 132 f = 35
	degree seq :: [ 2^66, 12^11 ]

E11.583 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^4, (Y3 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 81)(3, 87, 7, 83)(4, 89, 9, 84)(5, 91, 11, 85)(6, 93, 13, 86)(8, 92, 12, 88)(10, 94, 14, 90)(15, 105, 25, 95)(16, 106, 26, 96)(17, 107, 27, 97)(18, 109, 29, 98)(19, 110, 30, 99)(20, 111, 31, 100)(21, 112, 32, 101)(22, 113, 33, 102)(23, 115, 35, 103)(24, 116, 36, 104)(28, 114, 34, 108)(37, 127, 47, 117)(38, 128, 48, 118)(39, 129, 49, 119)(40, 130, 50, 120)(41, 131, 51, 121)(42, 132, 52, 122)(43, 133, 53, 123)(44, 134, 54, 124)(45, 135, 55, 125)(46, 136, 56, 126)(57, 145, 65, 137)(58, 146, 66, 138)(59, 147, 67, 139)(60, 148, 68, 140)(61, 149, 69, 141)(62, 150, 70, 142)(63, 151, 71, 143)(64, 152, 72, 144)(73, 157, 77, 153)(74, 158, 78, 154)(75, 159, 79, 155)(76, 160, 80, 156)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 28)(21, 33)(24, 34)(25, 37)(26, 39)(29, 38)(30, 40)(31, 42)(32, 44)(35, 43)(36, 45)(41, 50)(46, 55)(47, 57)(48, 59)(49, 58)(51, 60)(52, 61)(53, 63)(54, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 84)(82, 86)(83, 88)(85, 92)(87, 96)(89, 95)(90, 99)(91, 101)(93, 100)(94, 104)(97, 108)(98, 110)(102, 114)(103, 116)(105, 118)(106, 117)(107, 120)(109, 121)(111, 123)(112, 122)(113, 125)(115, 126)(119, 130)(124, 135)(127, 138)(128, 137)(129, 140)(131, 139)(132, 142)(133, 141)(134, 144)(136, 143)(145, 154)(146, 153)(147, 156)(148, 155)(149, 158)(150, 157)(151, 160)(152, 159)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.585
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.584 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C4 x D10) : C2 (small group id <80, 42>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 81)(3, 87, 7, 83)(4, 89, 9, 84)(5, 91, 11, 85)(6, 93, 13, 86)(8, 92, 12, 88)(10, 94, 14, 90)(15, 105, 25, 95)(16, 106, 26, 96)(17, 107, 27, 97)(18, 109, 29, 98)(19, 110, 30, 99)(20, 111, 31, 100)(21, 112, 32, 101)(22, 113, 33, 102)(23, 115, 35, 103)(24, 116, 36, 104)(28, 114, 34, 108)(37, 127, 47, 117)(38, 128, 48, 118)(39, 129, 49, 119)(40, 130, 50, 120)(41, 131, 51, 121)(42, 132, 52, 122)(43, 133, 53, 123)(44, 134, 54, 124)(45, 135, 55, 125)(46, 136, 56, 126)(57, 145, 65, 137)(58, 146, 66, 138)(59, 147, 67, 139)(60, 148, 68, 140)(61, 149, 69, 141)(62, 150, 70, 142)(63, 151, 71, 143)(64, 152, 72, 144)(73, 160, 80, 153)(74, 159, 79, 154)(75, 158, 78, 155)(76, 157, 77, 156)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 28)(21, 33)(24, 34)(25, 37)(26, 39)(29, 38)(30, 40)(31, 42)(32, 44)(35, 43)(36, 45)(41, 50)(46, 55)(47, 57)(48, 59)(49, 58)(51, 60)(52, 61)(53, 63)(54, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 84)(82, 86)(83, 88)(85, 92)(87, 96)(89, 95)(90, 99)(91, 101)(93, 100)(94, 104)(97, 108)(98, 110)(102, 114)(103, 116)(105, 118)(106, 117)(107, 120)(109, 121)(111, 123)(112, 122)(113, 125)(115, 126)(119, 130)(124, 135)(127, 138)(128, 137)(129, 140)(131, 139)(132, 142)(133, 141)(134, 144)(136, 143)(145, 154)(146, 153)(147, 156)(148, 155)(149, 158)(150, 157)(151, 160)(152, 159)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.586
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.585 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1^-2 * Y2, (Y1^-1 * Y2 * Y3)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 86, 6, 85, 5, 81)(3, 89, 9, 97, 17, 91, 11, 83)(4, 92, 12, 98, 18, 94, 14, 84)(7, 99, 19, 95, 15, 101, 21, 87)(8, 102, 22, 96, 16, 104, 24, 88)(10, 100, 20, 93, 13, 103, 23, 90)(25, 113, 33, 107, 27, 114, 34, 105)(26, 115, 35, 108, 28, 116, 36, 106)(29, 117, 37, 111, 31, 118, 38, 109)(30, 119, 39, 112, 32, 120, 40, 110)(41, 129, 49, 123, 43, 130, 50, 121)(42, 131, 51, 124, 44, 132, 52, 122)(45, 133, 53, 127, 47, 134, 54, 125)(46, 135, 55, 128, 48, 136, 56, 126)(57, 145, 65, 139, 59, 146, 66, 137)(58, 147, 67, 140, 60, 148, 68, 138)(61, 149, 69, 143, 63, 150, 70, 141)(62, 151, 71, 144, 64, 152, 72, 142)(73, 159, 79, 155, 75, 157, 77, 153)(74, 160, 80, 156, 76, 158, 78, 154)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 28)(14, 26)(16, 20)(19, 29)(21, 31)(22, 32)(24, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 77)(70, 79)(71, 80)(72, 78)(81, 84)(82, 88)(83, 90)(85, 96)(86, 98)(87, 100)(89, 106)(91, 108)(92, 105)(93, 97)(94, 107)(95, 103)(99, 110)(101, 112)(102, 109)(104, 111)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)(129, 138)(130, 140)(131, 137)(132, 139)(133, 142)(134, 144)(135, 141)(136, 143)(145, 154)(146, 156)(147, 153)(148, 155)(149, 158)(150, 160)(151, 157)(152, 159)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.583
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.586 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C4 x D10) : C2 (small group id <80, 42>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 86, 6, 85, 5, 81)(3, 89, 9, 97, 17, 91, 11, 83)(4, 92, 12, 98, 18, 94, 14, 84)(7, 99, 19, 95, 15, 101, 21, 87)(8, 102, 22, 96, 16, 104, 24, 88)(10, 100, 20, 93, 13, 103, 23, 90)(25, 113, 33, 107, 27, 114, 34, 105)(26, 115, 35, 108, 28, 116, 36, 106)(29, 117, 37, 111, 31, 118, 38, 109)(30, 119, 39, 112, 32, 120, 40, 110)(41, 129, 49, 123, 43, 130, 50, 121)(42, 131, 51, 124, 44, 132, 52, 122)(45, 133, 53, 127, 47, 134, 54, 125)(46, 135, 55, 128, 48, 136, 56, 126)(57, 145, 65, 139, 59, 146, 66, 137)(58, 147, 67, 140, 60, 148, 68, 138)(61, 149, 69, 143, 63, 150, 70, 141)(62, 151, 71, 144, 64, 152, 72, 142)(73, 157, 77, 155, 75, 159, 79, 153)(74, 158, 78, 156, 76, 160, 80, 154)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 28)(14, 26)(16, 20)(19, 29)(21, 31)(22, 32)(24, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 77)(70, 79)(71, 80)(72, 78)(81, 84)(82, 88)(83, 90)(85, 96)(86, 98)(87, 100)(89, 106)(91, 108)(92, 105)(93, 97)(94, 107)(95, 103)(99, 110)(101, 112)(102, 109)(104, 111)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)(129, 138)(130, 140)(131, 137)(132, 139)(133, 142)(134, 144)(135, 141)(136, 143)(145, 154)(146, 156)(147, 153)(148, 155)(149, 158)(150, 160)(151, 157)(152, 159)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.584
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.587 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, (Y3 * Y2)^10 ]
Map:: polytopal
	R = (1, 81, 4, 84)(2, 82, 6, 86)(3, 83, 8, 88)(5, 85, 12, 92)(7, 87, 16, 96)(9, 89, 18, 98)(10, 90, 19, 99)(11, 91, 21, 101)(13, 93, 23, 103)(14, 94, 24, 104)(15, 95, 25, 105)(17, 97, 27, 107)(20, 100, 31, 111)(22, 102, 33, 113)(26, 106, 37, 117)(28, 108, 39, 119)(29, 109, 40, 120)(30, 110, 41, 121)(32, 112, 42, 122)(34, 114, 44, 124)(35, 115, 45, 125)(36, 116, 46, 126)(38, 118, 47, 127)(43, 123, 52, 132)(48, 128, 57, 137)(49, 129, 58, 138)(50, 130, 59, 139)(51, 131, 60, 140)(53, 133, 61, 141)(54, 134, 62, 142)(55, 135, 63, 143)(56, 136, 64, 144)(65, 145, 73, 153)(66, 146, 74, 154)(67, 147, 75, 155)(68, 148, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(71, 151, 79, 159)(72, 152, 80, 160)(161, 162)(163, 167)(164, 169)(165, 171)(166, 173)(168, 177)(170, 176)(172, 182)(174, 181)(175, 180)(178, 188)(179, 190)(183, 194)(184, 196)(185, 192)(186, 191)(187, 195)(189, 193)(197, 203)(198, 202)(199, 208)(200, 210)(201, 209)(204, 213)(205, 215)(206, 214)(207, 216)(211, 212)(217, 225)(218, 227)(219, 226)(220, 228)(221, 229)(222, 231)(223, 230)(224, 232)(233, 237)(234, 239)(235, 238)(236, 240)(241, 243)(242, 245)(244, 250)(246, 254)(247, 255)(248, 253)(249, 252)(251, 260)(256, 266)(257, 265)(258, 269)(259, 268)(261, 272)(262, 271)(263, 275)(264, 274)(267, 278)(270, 277)(273, 283)(276, 282)(279, 289)(280, 288)(281, 291)(284, 294)(285, 293)(286, 296)(287, 295)(290, 292)(297, 306)(298, 305)(299, 308)(300, 307)(301, 310)(302, 309)(303, 312)(304, 311)(313, 318)(314, 317)(315, 320)(316, 319)
	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) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E11.593
Graph:: simple bipartite
	v = 120 e = 160 f = 20
	degree seq :: [ 2^80, 4^40 ]

E11.588 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C4 x D10) : C2 (small group id <80, 42>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 81, 4, 84)(2, 82, 6, 86)(3, 83, 8, 88)(5, 85, 12, 92)(7, 87, 16, 96)(9, 89, 18, 98)(10, 90, 19, 99)(11, 91, 21, 101)(13, 93, 23, 103)(14, 94, 24, 104)(15, 95, 25, 105)(17, 97, 27, 107)(20, 100, 31, 111)(22, 102, 33, 113)(26, 106, 37, 117)(28, 108, 39, 119)(29, 109, 40, 120)(30, 110, 41, 121)(32, 112, 42, 122)(34, 114, 44, 124)(35, 115, 45, 125)(36, 116, 46, 126)(38, 118, 47, 127)(43, 123, 52, 132)(48, 128, 57, 137)(49, 129, 58, 138)(50, 130, 59, 139)(51, 131, 60, 140)(53, 133, 61, 141)(54, 134, 62, 142)(55, 135, 63, 143)(56, 136, 64, 144)(65, 145, 73, 153)(66, 146, 74, 154)(67, 147, 75, 155)(68, 148, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(71, 151, 79, 159)(72, 152, 80, 160)(161, 162)(163, 167)(164, 169)(165, 171)(166, 173)(168, 177)(170, 176)(172, 182)(174, 181)(175, 180)(178, 188)(179, 190)(183, 194)(184, 196)(185, 192)(186, 191)(187, 195)(189, 193)(197, 203)(198, 202)(199, 208)(200, 210)(201, 209)(204, 213)(205, 215)(206, 214)(207, 216)(211, 212)(217, 225)(218, 227)(219, 226)(220, 228)(221, 229)(222, 231)(223, 230)(224, 232)(233, 240)(234, 238)(235, 239)(236, 237)(241, 243)(242, 245)(244, 250)(246, 254)(247, 255)(248, 253)(249, 252)(251, 260)(256, 266)(257, 265)(258, 269)(259, 268)(261, 272)(262, 271)(263, 275)(264, 274)(267, 278)(270, 277)(273, 283)(276, 282)(279, 289)(280, 288)(281, 291)(284, 294)(285, 293)(286, 296)(287, 295)(290, 292)(297, 306)(298, 305)(299, 308)(300, 307)(301, 310)(302, 309)(303, 312)(304, 311)(313, 319)(314, 320)(315, 317)(316, 318)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E11.594
Graph:: simple bipartite
	v = 120 e = 160 f = 20
	degree seq :: [ 2^80, 4^40 ]

E11.589 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 81, 4, 84, 14, 94, 5, 85)(2, 82, 7, 87, 22, 102, 8, 88)(3, 83, 10, 90, 17, 97, 11, 91)(6, 86, 18, 98, 9, 89, 19, 99)(12, 92, 25, 105, 15, 95, 26, 106)(13, 93, 27, 107, 16, 96, 28, 108)(20, 100, 29, 109, 23, 103, 30, 110)(21, 101, 31, 111, 24, 104, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)(161, 162)(163, 169)(164, 172)(165, 175)(166, 177)(167, 180)(168, 183)(170, 184)(171, 181)(173, 179)(174, 182)(176, 178)(185, 193)(186, 195)(187, 196)(188, 194)(189, 197)(190, 199)(191, 200)(192, 198)(201, 209)(202, 211)(203, 212)(204, 210)(205, 213)(206, 215)(207, 216)(208, 214)(217, 225)(218, 227)(219, 228)(220, 226)(221, 229)(222, 231)(223, 232)(224, 230)(233, 238)(234, 237)(235, 239)(236, 240)(241, 243)(242, 246)(244, 253)(245, 256)(247, 261)(248, 264)(249, 262)(250, 260)(251, 263)(252, 258)(254, 257)(255, 259)(265, 274)(266, 276)(267, 273)(268, 275)(269, 278)(270, 280)(271, 277)(272, 279)(281, 290)(282, 292)(283, 289)(284, 291)(285, 294)(286, 296)(287, 293)(288, 295)(297, 306)(298, 308)(299, 305)(300, 307)(301, 310)(302, 312)(303, 309)(304, 311)(313, 320)(314, 319)(315, 318)(316, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E11.591
Graph:: simple bipartite
	v = 100 e = 160 f = 40
	degree seq :: [ 2^80, 8^20 ]

E11.590 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C4 x D10) : C2 (small group id <80, 42>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 81, 4, 84, 14, 94, 5, 85)(2, 82, 7, 87, 22, 102, 8, 88)(3, 83, 10, 90, 17, 97, 11, 91)(6, 86, 18, 98, 9, 89, 19, 99)(12, 92, 25, 105, 15, 95, 26, 106)(13, 93, 27, 107, 16, 96, 28, 108)(20, 100, 29, 109, 23, 103, 30, 110)(21, 101, 31, 111, 24, 104, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)(161, 162)(163, 169)(164, 172)(165, 175)(166, 177)(167, 180)(168, 183)(170, 184)(171, 181)(173, 179)(174, 182)(176, 178)(185, 193)(186, 195)(187, 196)(188, 194)(189, 197)(190, 199)(191, 200)(192, 198)(201, 209)(202, 211)(203, 212)(204, 210)(205, 213)(206, 215)(207, 216)(208, 214)(217, 225)(218, 227)(219, 228)(220, 226)(221, 229)(222, 231)(223, 232)(224, 230)(233, 237)(234, 238)(235, 240)(236, 239)(241, 243)(242, 246)(244, 253)(245, 256)(247, 261)(248, 264)(249, 262)(250, 260)(251, 263)(252, 258)(254, 257)(255, 259)(265, 274)(266, 276)(267, 273)(268, 275)(269, 278)(270, 280)(271, 277)(272, 279)(281, 290)(282, 292)(283, 289)(284, 291)(285, 294)(286, 296)(287, 293)(288, 295)(297, 306)(298, 308)(299, 305)(300, 307)(301, 310)(302, 312)(303, 309)(304, 311)(313, 319)(314, 320)(315, 317)(316, 318)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E11.592
Graph:: simple bipartite
	v = 100 e = 160 f = 40
	degree seq :: [ 2^80, 8^20 ]

E11.591 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, (Y3 * Y2)^10 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 6, 86, 166, 246)(3, 83, 163, 243, 8, 88, 168, 248)(5, 85, 165, 245, 12, 92, 172, 252)(7, 87, 167, 247, 16, 96, 176, 256)(9, 89, 169, 249, 18, 98, 178, 258)(10, 90, 170, 250, 19, 99, 179, 259)(11, 91, 171, 251, 21, 101, 181, 261)(13, 93, 173, 253, 23, 103, 183, 263)(14, 94, 174, 254, 24, 104, 184, 264)(15, 95, 175, 255, 25, 105, 185, 265)(17, 97, 177, 257, 27, 107, 187, 267)(20, 100, 180, 260, 31, 111, 191, 271)(22, 102, 182, 262, 33, 113, 193, 273)(26, 106, 186, 266, 37, 117, 197, 277)(28, 108, 188, 268, 39, 119, 199, 279)(29, 109, 189, 269, 40, 120, 200, 280)(30, 110, 190, 270, 41, 121, 201, 281)(32, 112, 192, 272, 42, 122, 202, 282)(34, 114, 194, 274, 44, 124, 204, 284)(35, 115, 195, 275, 45, 125, 205, 285)(36, 116, 196, 276, 46, 126, 206, 286)(38, 118, 198, 278, 47, 127, 207, 287)(43, 123, 203, 283, 52, 132, 212, 292)(48, 128, 208, 288, 57, 137, 217, 297)(49, 129, 209, 289, 58, 138, 218, 298)(50, 130, 210, 290, 59, 139, 219, 299)(51, 131, 211, 291, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301)(54, 134, 214, 294, 62, 142, 222, 302)(55, 135, 215, 295, 63, 143, 223, 303)(56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313)(66, 146, 226, 306, 74, 154, 234, 314)(67, 147, 227, 307, 75, 155, 235, 315)(68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(71, 151, 231, 311, 79, 159, 239, 319)(72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 91)(6, 93)(7, 83)(8, 97)(9, 84)(10, 96)(11, 85)(12, 102)(13, 86)(14, 101)(15, 100)(16, 90)(17, 88)(18, 108)(19, 110)(20, 95)(21, 94)(22, 92)(23, 114)(24, 116)(25, 112)(26, 111)(27, 115)(28, 98)(29, 113)(30, 99)(31, 106)(32, 105)(33, 109)(34, 103)(35, 107)(36, 104)(37, 123)(38, 122)(39, 128)(40, 130)(41, 129)(42, 118)(43, 117)(44, 133)(45, 135)(46, 134)(47, 136)(48, 119)(49, 121)(50, 120)(51, 132)(52, 131)(53, 124)(54, 126)(55, 125)(56, 127)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 137)(66, 139)(67, 138)(68, 140)(69, 141)(70, 143)(71, 142)(72, 144)(73, 157)(74, 159)(75, 158)(76, 160)(77, 153)(78, 155)(79, 154)(80, 156)(161, 243)(162, 245)(163, 241)(164, 250)(165, 242)(166, 254)(167, 255)(168, 253)(169, 252)(170, 244)(171, 260)(172, 249)(173, 248)(174, 246)(175, 247)(176, 266)(177, 265)(178, 269)(179, 268)(180, 251)(181, 272)(182, 271)(183, 275)(184, 274)(185, 257)(186, 256)(187, 278)(188, 259)(189, 258)(190, 277)(191, 262)(192, 261)(193, 283)(194, 264)(195, 263)(196, 282)(197, 270)(198, 267)(199, 289)(200, 288)(201, 291)(202, 276)(203, 273)(204, 294)(205, 293)(206, 296)(207, 295)(208, 280)(209, 279)(210, 292)(211, 281)(212, 290)(213, 285)(214, 284)(215, 287)(216, 286)(217, 306)(218, 305)(219, 308)(220, 307)(221, 310)(222, 309)(223, 312)(224, 311)(225, 298)(226, 297)(227, 300)(228, 299)(229, 302)(230, 301)(231, 304)(232, 303)(233, 318)(234, 317)(235, 320)(236, 319)(237, 314)(238, 313)(239, 316)(240, 315)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.589
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 160 f = 100
	degree seq :: [ 8^40 ]

E11.592 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C4 x D10) : C2 (small group id <80, 42>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 6, 86, 166, 246)(3, 83, 163, 243, 8, 88, 168, 248)(5, 85, 165, 245, 12, 92, 172, 252)(7, 87, 167, 247, 16, 96, 176, 256)(9, 89, 169, 249, 18, 98, 178, 258)(10, 90, 170, 250, 19, 99, 179, 259)(11, 91, 171, 251, 21, 101, 181, 261)(13, 93, 173, 253, 23, 103, 183, 263)(14, 94, 174, 254, 24, 104, 184, 264)(15, 95, 175, 255, 25, 105, 185, 265)(17, 97, 177, 257, 27, 107, 187, 267)(20, 100, 180, 260, 31, 111, 191, 271)(22, 102, 182, 262, 33, 113, 193, 273)(26, 106, 186, 266, 37, 117, 197, 277)(28, 108, 188, 268, 39, 119, 199, 279)(29, 109, 189, 269, 40, 120, 200, 280)(30, 110, 190, 270, 41, 121, 201, 281)(32, 112, 192, 272, 42, 122, 202, 282)(34, 114, 194, 274, 44, 124, 204, 284)(35, 115, 195, 275, 45, 125, 205, 285)(36, 116, 196, 276, 46, 126, 206, 286)(38, 118, 198, 278, 47, 127, 207, 287)(43, 123, 203, 283, 52, 132, 212, 292)(48, 128, 208, 288, 57, 137, 217, 297)(49, 129, 209, 289, 58, 138, 218, 298)(50, 130, 210, 290, 59, 139, 219, 299)(51, 131, 211, 291, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301)(54, 134, 214, 294, 62, 142, 222, 302)(55, 135, 215, 295, 63, 143, 223, 303)(56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313)(66, 146, 226, 306, 74, 154, 234, 314)(67, 147, 227, 307, 75, 155, 235, 315)(68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(71, 151, 231, 311, 79, 159, 239, 319)(72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 91)(6, 93)(7, 83)(8, 97)(9, 84)(10, 96)(11, 85)(12, 102)(13, 86)(14, 101)(15, 100)(16, 90)(17, 88)(18, 108)(19, 110)(20, 95)(21, 94)(22, 92)(23, 114)(24, 116)(25, 112)(26, 111)(27, 115)(28, 98)(29, 113)(30, 99)(31, 106)(32, 105)(33, 109)(34, 103)(35, 107)(36, 104)(37, 123)(38, 122)(39, 128)(40, 130)(41, 129)(42, 118)(43, 117)(44, 133)(45, 135)(46, 134)(47, 136)(48, 119)(49, 121)(50, 120)(51, 132)(52, 131)(53, 124)(54, 126)(55, 125)(56, 127)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 137)(66, 139)(67, 138)(68, 140)(69, 141)(70, 143)(71, 142)(72, 144)(73, 160)(74, 158)(75, 159)(76, 157)(77, 156)(78, 154)(79, 155)(80, 153)(161, 243)(162, 245)(163, 241)(164, 250)(165, 242)(166, 254)(167, 255)(168, 253)(169, 252)(170, 244)(171, 260)(172, 249)(173, 248)(174, 246)(175, 247)(176, 266)(177, 265)(178, 269)(179, 268)(180, 251)(181, 272)(182, 271)(183, 275)(184, 274)(185, 257)(186, 256)(187, 278)(188, 259)(189, 258)(190, 277)(191, 262)(192, 261)(193, 283)(194, 264)(195, 263)(196, 282)(197, 270)(198, 267)(199, 289)(200, 288)(201, 291)(202, 276)(203, 273)(204, 294)(205, 293)(206, 296)(207, 295)(208, 280)(209, 279)(210, 292)(211, 281)(212, 290)(213, 285)(214, 284)(215, 287)(216, 286)(217, 306)(218, 305)(219, 308)(220, 307)(221, 310)(222, 309)(223, 312)(224, 311)(225, 298)(226, 297)(227, 300)(228, 299)(229, 302)(230, 301)(231, 304)(232, 303)(233, 319)(234, 320)(235, 317)(236, 318)(237, 315)(238, 316)(239, 313)(240, 314)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.590
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 160 f = 100
	degree seq :: [ 8^40 ]

E11.593 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 14, 94, 174, 254, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 22, 102, 182, 262, 8, 88, 168, 248)(3, 83, 163, 243, 10, 90, 170, 250, 17, 97, 177, 257, 11, 91, 171, 251)(6, 86, 166, 246, 18, 98, 178, 258, 9, 89, 169, 249, 19, 99, 179, 259)(12, 92, 172, 252, 25, 105, 185, 265, 15, 95, 175, 255, 26, 106, 186, 266)(13, 93, 173, 253, 27, 107, 187, 267, 16, 96, 176, 256, 28, 108, 188, 268)(20, 100, 180, 260, 29, 109, 189, 269, 23, 103, 183, 263, 30, 110, 190, 270)(21, 101, 181, 261, 31, 111, 191, 271, 24, 104, 184, 264, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281, 35, 115, 195, 275, 42, 122, 202, 282)(34, 114, 194, 274, 43, 123, 203, 283, 36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285, 39, 119, 199, 279, 46, 126, 206, 286)(38, 118, 198, 278, 47, 127, 207, 287, 40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297, 51, 131, 211, 291, 58, 138, 218, 298)(50, 130, 210, 290, 59, 139, 219, 299, 52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301, 55, 135, 215, 295, 62, 142, 222, 302)(54, 134, 214, 294, 63, 143, 223, 303, 56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313, 67, 147, 227, 307, 74, 154, 234, 314)(66, 146, 226, 306, 75, 155, 235, 315, 68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317, 71, 151, 231, 311, 78, 158, 238, 318)(70, 150, 230, 310, 79, 159, 239, 319, 72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 89)(4, 92)(5, 95)(6, 97)(7, 100)(8, 103)(9, 83)(10, 104)(11, 101)(12, 84)(13, 99)(14, 102)(15, 85)(16, 98)(17, 86)(18, 96)(19, 93)(20, 87)(21, 91)(22, 94)(23, 88)(24, 90)(25, 113)(26, 115)(27, 116)(28, 114)(29, 117)(30, 119)(31, 120)(32, 118)(33, 105)(34, 108)(35, 106)(36, 107)(37, 109)(38, 112)(39, 110)(40, 111)(41, 129)(42, 131)(43, 132)(44, 130)(45, 133)(46, 135)(47, 136)(48, 134)(49, 121)(50, 124)(51, 122)(52, 123)(53, 125)(54, 128)(55, 126)(56, 127)(57, 145)(58, 147)(59, 148)(60, 146)(61, 149)(62, 151)(63, 152)(64, 150)(65, 137)(66, 140)(67, 138)(68, 139)(69, 141)(70, 144)(71, 142)(72, 143)(73, 158)(74, 157)(75, 159)(76, 160)(77, 154)(78, 153)(79, 155)(80, 156)(161, 243)(162, 246)(163, 241)(164, 253)(165, 256)(166, 242)(167, 261)(168, 264)(169, 262)(170, 260)(171, 263)(172, 258)(173, 244)(174, 257)(175, 259)(176, 245)(177, 254)(178, 252)(179, 255)(180, 250)(181, 247)(182, 249)(183, 251)(184, 248)(185, 274)(186, 276)(187, 273)(188, 275)(189, 278)(190, 280)(191, 277)(192, 279)(193, 267)(194, 265)(195, 268)(196, 266)(197, 271)(198, 269)(199, 272)(200, 270)(201, 290)(202, 292)(203, 289)(204, 291)(205, 294)(206, 296)(207, 293)(208, 295)(209, 283)(210, 281)(211, 284)(212, 282)(213, 287)(214, 285)(215, 288)(216, 286)(217, 306)(218, 308)(219, 305)(220, 307)(221, 310)(222, 312)(223, 309)(224, 311)(225, 299)(226, 297)(227, 300)(228, 298)(229, 303)(230, 301)(231, 304)(232, 302)(233, 320)(234, 319)(235, 318)(236, 317)(237, 316)(238, 315)(239, 314)(240, 313)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E11.587
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 120
	degree seq :: [ 16^20 ]

E11.594 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C4 x D10) : C2 (small group id <80, 42>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 14, 94, 174, 254, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 22, 102, 182, 262, 8, 88, 168, 248)(3, 83, 163, 243, 10, 90, 170, 250, 17, 97, 177, 257, 11, 91, 171, 251)(6, 86, 166, 246, 18, 98, 178, 258, 9, 89, 169, 249, 19, 99, 179, 259)(12, 92, 172, 252, 25, 105, 185, 265, 15, 95, 175, 255, 26, 106, 186, 266)(13, 93, 173, 253, 27, 107, 187, 267, 16, 96, 176, 256, 28, 108, 188, 268)(20, 100, 180, 260, 29, 109, 189, 269, 23, 103, 183, 263, 30, 110, 190, 270)(21, 101, 181, 261, 31, 111, 191, 271, 24, 104, 184, 264, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281, 35, 115, 195, 275, 42, 122, 202, 282)(34, 114, 194, 274, 43, 123, 203, 283, 36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285, 39, 119, 199, 279, 46, 126, 206, 286)(38, 118, 198, 278, 47, 127, 207, 287, 40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297, 51, 131, 211, 291, 58, 138, 218, 298)(50, 130, 210, 290, 59, 139, 219, 299, 52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301, 55, 135, 215, 295, 62, 142, 222, 302)(54, 134, 214, 294, 63, 143, 223, 303, 56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313, 67, 147, 227, 307, 74, 154, 234, 314)(66, 146, 226, 306, 75, 155, 235, 315, 68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317, 71, 151, 231, 311, 78, 158, 238, 318)(70, 150, 230, 310, 79, 159, 239, 319, 72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 89)(4, 92)(5, 95)(6, 97)(7, 100)(8, 103)(9, 83)(10, 104)(11, 101)(12, 84)(13, 99)(14, 102)(15, 85)(16, 98)(17, 86)(18, 96)(19, 93)(20, 87)(21, 91)(22, 94)(23, 88)(24, 90)(25, 113)(26, 115)(27, 116)(28, 114)(29, 117)(30, 119)(31, 120)(32, 118)(33, 105)(34, 108)(35, 106)(36, 107)(37, 109)(38, 112)(39, 110)(40, 111)(41, 129)(42, 131)(43, 132)(44, 130)(45, 133)(46, 135)(47, 136)(48, 134)(49, 121)(50, 124)(51, 122)(52, 123)(53, 125)(54, 128)(55, 126)(56, 127)(57, 145)(58, 147)(59, 148)(60, 146)(61, 149)(62, 151)(63, 152)(64, 150)(65, 137)(66, 140)(67, 138)(68, 139)(69, 141)(70, 144)(71, 142)(72, 143)(73, 157)(74, 158)(75, 160)(76, 159)(77, 153)(78, 154)(79, 156)(80, 155)(161, 243)(162, 246)(163, 241)(164, 253)(165, 256)(166, 242)(167, 261)(168, 264)(169, 262)(170, 260)(171, 263)(172, 258)(173, 244)(174, 257)(175, 259)(176, 245)(177, 254)(178, 252)(179, 255)(180, 250)(181, 247)(182, 249)(183, 251)(184, 248)(185, 274)(186, 276)(187, 273)(188, 275)(189, 278)(190, 280)(191, 277)(192, 279)(193, 267)(194, 265)(195, 268)(196, 266)(197, 271)(198, 269)(199, 272)(200, 270)(201, 290)(202, 292)(203, 289)(204, 291)(205, 294)(206, 296)(207, 293)(208, 295)(209, 283)(210, 281)(211, 284)(212, 282)(213, 287)(214, 285)(215, 288)(216, 286)(217, 306)(218, 308)(219, 305)(220, 307)(221, 310)(222, 312)(223, 309)(224, 311)(225, 299)(226, 297)(227, 300)(228, 298)(229, 303)(230, 301)(231, 304)(232, 302)(233, 319)(234, 320)(235, 317)(236, 318)(237, 315)(238, 316)(239, 313)(240, 314)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E11.588
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 120
	degree seq :: [ 16^20 ]

E11.595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1 * Y3 * Y1)^2, (Y2 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 10, 90)(6, 86, 12, 92)(8, 88, 15, 95)(11, 91, 20, 100)(13, 93, 23, 103)(14, 94, 21, 101)(16, 96, 19, 99)(17, 97, 22, 102)(18, 98, 28, 108)(24, 104, 35, 115)(25, 105, 34, 114)(26, 106, 32, 112)(27, 107, 31, 111)(29, 109, 39, 119)(30, 110, 38, 118)(33, 113, 41, 121)(36, 116, 44, 124)(37, 117, 45, 125)(40, 120, 48, 128)(42, 122, 51, 131)(43, 123, 50, 130)(46, 126, 55, 135)(47, 127, 54, 134)(49, 129, 57, 137)(52, 132, 60, 140)(53, 133, 61, 141)(56, 136, 64, 144)(58, 138, 67, 147)(59, 139, 66, 146)(62, 142, 71, 151)(63, 143, 70, 150)(65, 145, 69, 149)(68, 148, 75, 155)(72, 152, 78, 158)(73, 153, 77, 157)(74, 154, 76, 156)(79, 159, 80, 160)(161, 241, 163, 243)(162, 242, 165, 245)(164, 244, 168, 248)(166, 246, 171, 251)(167, 247, 173, 253)(169, 249, 176, 256)(170, 250, 178, 258)(172, 252, 181, 261)(174, 254, 184, 264)(175, 255, 185, 265)(177, 257, 187, 267)(179, 259, 189, 269)(180, 260, 190, 270)(182, 262, 192, 272)(183, 263, 193, 273)(186, 266, 196, 276)(188, 268, 197, 277)(191, 271, 200, 280)(194, 274, 202, 282)(195, 275, 203, 283)(198, 278, 206, 286)(199, 279, 207, 287)(201, 281, 209, 289)(204, 284, 212, 292)(205, 285, 213, 293)(208, 288, 216, 296)(210, 290, 218, 298)(211, 291, 219, 299)(214, 294, 222, 302)(215, 295, 223, 303)(217, 297, 225, 305)(220, 300, 228, 308)(221, 301, 229, 309)(224, 304, 232, 312)(226, 306, 233, 313)(227, 307, 234, 314)(230, 310, 236, 316)(231, 311, 237, 317)(235, 315, 239, 319)(238, 318, 240, 320)
	L = (1, 164)(2, 166)(3, 168)(4, 161)(5, 171)(6, 162)(7, 174)(8, 163)(9, 177)(10, 179)(11, 165)(12, 182)(13, 184)(14, 167)(15, 186)(16, 187)(17, 169)(18, 189)(19, 170)(20, 191)(21, 192)(22, 172)(23, 194)(24, 173)(25, 196)(26, 175)(27, 176)(28, 198)(29, 178)(30, 200)(31, 180)(32, 181)(33, 202)(34, 183)(35, 204)(36, 185)(37, 206)(38, 188)(39, 208)(40, 190)(41, 210)(42, 193)(43, 212)(44, 195)(45, 214)(46, 197)(47, 216)(48, 199)(49, 218)(50, 201)(51, 220)(52, 203)(53, 222)(54, 205)(55, 224)(56, 207)(57, 226)(58, 209)(59, 228)(60, 211)(61, 230)(62, 213)(63, 232)(64, 215)(65, 233)(66, 217)(67, 235)(68, 219)(69, 236)(70, 221)(71, 238)(72, 223)(73, 225)(74, 239)(75, 227)(76, 229)(77, 240)(78, 231)(79, 234)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.600
Graph:: simple bipartite
	v = 80 e = 160 f = 60
	degree seq :: [ 4^80 ]

E11.596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^2 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y3^10, Y3^-1 * Y2 * Y3^3 * Y1 * Y3^-4 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 12, 92)(5, 85, 14, 94)(6, 86, 16, 96)(7, 87, 19, 99)(8, 88, 21, 101)(10, 90, 24, 104)(11, 91, 26, 106)(13, 93, 22, 102)(15, 95, 20, 100)(17, 97, 34, 114)(18, 98, 36, 116)(23, 103, 37, 117)(25, 105, 43, 123)(27, 107, 33, 113)(28, 108, 38, 118)(29, 109, 41, 121)(30, 110, 50, 130)(31, 111, 39, 119)(32, 112, 44, 124)(35, 115, 53, 133)(40, 120, 60, 140)(42, 122, 54, 134)(45, 125, 58, 138)(46, 126, 59, 139)(47, 127, 65, 145)(48, 128, 55, 135)(49, 129, 56, 136)(51, 131, 62, 142)(52, 132, 61, 141)(57, 137, 72, 152)(63, 143, 74, 154)(64, 144, 75, 155)(66, 146, 73, 153)(67, 147, 70, 150)(68, 148, 71, 151)(69, 149, 77, 157)(76, 156, 79, 159)(78, 158, 80, 160)(161, 241, 163, 243)(162, 242, 166, 246)(164, 244, 171, 251)(165, 245, 170, 250)(167, 247, 178, 258)(168, 248, 177, 257)(169, 249, 180, 260)(172, 252, 187, 267)(173, 253, 176, 256)(174, 254, 186, 266)(175, 255, 185, 265)(179, 259, 197, 277)(181, 261, 196, 276)(182, 262, 195, 275)(183, 263, 200, 280)(184, 264, 204, 284)(188, 268, 208, 288)(189, 269, 209, 289)(190, 270, 193, 273)(191, 271, 205, 285)(192, 272, 207, 287)(194, 274, 214, 294)(198, 278, 218, 298)(199, 279, 219, 299)(201, 281, 215, 295)(202, 282, 217, 297)(203, 283, 221, 301)(206, 286, 224, 304)(210, 290, 227, 307)(211, 291, 213, 293)(212, 292, 226, 306)(216, 296, 231, 311)(220, 300, 234, 314)(222, 302, 233, 313)(223, 303, 236, 316)(225, 305, 237, 317)(228, 308, 238, 318)(229, 309, 230, 310)(232, 312, 239, 319)(235, 315, 240, 320)
	L = (1, 164)(2, 167)(3, 170)(4, 173)(5, 161)(6, 177)(7, 180)(8, 162)(9, 178)(10, 185)(11, 163)(12, 188)(13, 190)(14, 191)(15, 165)(16, 171)(17, 195)(18, 166)(19, 198)(20, 200)(21, 201)(22, 168)(23, 169)(24, 205)(25, 207)(26, 208)(27, 209)(28, 174)(29, 172)(30, 211)(31, 204)(32, 175)(33, 176)(34, 215)(35, 217)(36, 218)(37, 219)(38, 181)(39, 179)(40, 221)(41, 214)(42, 182)(43, 183)(44, 224)(45, 186)(46, 184)(47, 226)(48, 187)(49, 227)(50, 189)(51, 229)(52, 192)(53, 193)(54, 231)(55, 196)(56, 194)(57, 233)(58, 197)(59, 234)(60, 199)(61, 236)(62, 202)(63, 203)(64, 237)(65, 206)(66, 230)(67, 238)(68, 210)(69, 212)(70, 213)(71, 239)(72, 216)(73, 223)(74, 240)(75, 220)(76, 222)(77, 228)(78, 225)(79, 235)(80, 232)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.601
Graph:: simple bipartite
	v = 80 e = 160 f = 60
	degree seq :: [ 4^80 ]

E11.597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 10, 90)(6, 86, 12, 92)(8, 88, 15, 95)(11, 91, 20, 100)(13, 93, 23, 103)(14, 94, 21, 101)(16, 96, 19, 99)(17, 97, 22, 102)(18, 98, 28, 108)(24, 104, 35, 115)(25, 105, 34, 114)(26, 106, 32, 112)(27, 107, 31, 111)(29, 109, 39, 119)(30, 110, 38, 118)(33, 113, 41, 121)(36, 116, 44, 124)(37, 117, 45, 125)(40, 120, 48, 128)(42, 122, 51, 131)(43, 123, 50, 130)(46, 126, 55, 135)(47, 127, 54, 134)(49, 129, 57, 137)(52, 132, 60, 140)(53, 133, 61, 141)(56, 136, 64, 144)(58, 138, 67, 147)(59, 139, 66, 146)(62, 142, 71, 151)(63, 143, 70, 150)(65, 145, 73, 153)(68, 148, 76, 156)(69, 149, 77, 157)(72, 152, 80, 160)(74, 154, 78, 158)(75, 155, 79, 159)(161, 241, 163, 243)(162, 242, 165, 245)(164, 244, 168, 248)(166, 246, 171, 251)(167, 247, 173, 253)(169, 249, 176, 256)(170, 250, 178, 258)(172, 252, 181, 261)(174, 254, 184, 264)(175, 255, 185, 265)(177, 257, 187, 267)(179, 259, 189, 269)(180, 260, 190, 270)(182, 262, 192, 272)(183, 263, 193, 273)(186, 266, 196, 276)(188, 268, 197, 277)(191, 271, 200, 280)(194, 274, 202, 282)(195, 275, 203, 283)(198, 278, 206, 286)(199, 279, 207, 287)(201, 281, 209, 289)(204, 284, 212, 292)(205, 285, 213, 293)(208, 288, 216, 296)(210, 290, 218, 298)(211, 291, 219, 299)(214, 294, 222, 302)(215, 295, 223, 303)(217, 297, 225, 305)(220, 300, 228, 308)(221, 301, 229, 309)(224, 304, 232, 312)(226, 306, 234, 314)(227, 307, 235, 315)(230, 310, 238, 318)(231, 311, 239, 319)(233, 313, 240, 320)(236, 316, 237, 317)
	L = (1, 164)(2, 166)(3, 168)(4, 161)(5, 171)(6, 162)(7, 174)(8, 163)(9, 177)(10, 179)(11, 165)(12, 182)(13, 184)(14, 167)(15, 186)(16, 187)(17, 169)(18, 189)(19, 170)(20, 191)(21, 192)(22, 172)(23, 194)(24, 173)(25, 196)(26, 175)(27, 176)(28, 198)(29, 178)(30, 200)(31, 180)(32, 181)(33, 202)(34, 183)(35, 204)(36, 185)(37, 206)(38, 188)(39, 208)(40, 190)(41, 210)(42, 193)(43, 212)(44, 195)(45, 214)(46, 197)(47, 216)(48, 199)(49, 218)(50, 201)(51, 220)(52, 203)(53, 222)(54, 205)(55, 224)(56, 207)(57, 226)(58, 209)(59, 228)(60, 211)(61, 230)(62, 213)(63, 232)(64, 215)(65, 234)(66, 217)(67, 236)(68, 219)(69, 238)(70, 221)(71, 240)(72, 223)(73, 239)(74, 225)(75, 237)(76, 227)(77, 235)(78, 229)(79, 233)(80, 231)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.599
Graph:: simple bipartite
	v = 80 e = 160 f = 60
	degree seq :: [ 4^80 ]

E11.598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C4 x D10) : C2 (small group id <80, 42>)
Aut   = (D8 x D10) : C2 (small group id <160, 224>)
|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 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 7, 87)(5, 85, 8, 88)(6, 86, 13, 93)(10, 90, 18, 98)(11, 91, 19, 99)(12, 92, 16, 96)(14, 94, 22, 102)(15, 95, 23, 103)(17, 97, 25, 105)(20, 100, 28, 108)(21, 101, 29, 109)(24, 104, 32, 112)(26, 106, 34, 114)(27, 107, 35, 115)(30, 110, 38, 118)(31, 111, 39, 119)(33, 113, 41, 121)(36, 116, 44, 124)(37, 117, 45, 125)(40, 120, 48, 128)(42, 122, 50, 130)(43, 123, 51, 131)(46, 126, 54, 134)(47, 127, 55, 135)(49, 129, 57, 137)(52, 132, 60, 140)(53, 133, 61, 141)(56, 136, 64, 144)(58, 138, 66, 146)(59, 139, 67, 147)(62, 142, 70, 150)(63, 143, 71, 151)(65, 145, 73, 153)(68, 148, 76, 156)(69, 149, 77, 157)(72, 152, 80, 160)(74, 154, 79, 159)(75, 155, 78, 158)(161, 241, 163, 243)(162, 242, 166, 246)(164, 244, 171, 251)(165, 245, 170, 250)(167, 247, 175, 255)(168, 248, 174, 254)(169, 249, 177, 257)(172, 252, 180, 260)(173, 253, 181, 261)(176, 256, 184, 264)(178, 258, 187, 267)(179, 259, 186, 266)(182, 262, 191, 271)(183, 263, 190, 270)(185, 265, 193, 273)(188, 268, 196, 276)(189, 269, 197, 277)(192, 272, 200, 280)(194, 274, 203, 283)(195, 275, 202, 282)(198, 278, 207, 287)(199, 279, 206, 286)(201, 281, 209, 289)(204, 284, 212, 292)(205, 285, 213, 293)(208, 288, 216, 296)(210, 290, 219, 299)(211, 291, 218, 298)(214, 294, 223, 303)(215, 295, 222, 302)(217, 297, 225, 305)(220, 300, 228, 308)(221, 301, 229, 309)(224, 304, 232, 312)(226, 306, 235, 315)(227, 307, 234, 314)(230, 310, 239, 319)(231, 311, 238, 318)(233, 313, 240, 320)(236, 316, 237, 317)
	L = (1, 164)(2, 167)(3, 170)(4, 172)(5, 161)(6, 174)(7, 176)(8, 162)(9, 178)(10, 180)(11, 163)(12, 165)(13, 182)(14, 184)(15, 166)(16, 168)(17, 186)(18, 188)(19, 169)(20, 171)(21, 190)(22, 192)(23, 173)(24, 175)(25, 194)(26, 196)(27, 177)(28, 179)(29, 198)(30, 200)(31, 181)(32, 183)(33, 202)(34, 204)(35, 185)(36, 187)(37, 206)(38, 208)(39, 189)(40, 191)(41, 210)(42, 212)(43, 193)(44, 195)(45, 214)(46, 216)(47, 197)(48, 199)(49, 218)(50, 220)(51, 201)(52, 203)(53, 222)(54, 224)(55, 205)(56, 207)(57, 226)(58, 228)(59, 209)(60, 211)(61, 230)(62, 232)(63, 213)(64, 215)(65, 234)(66, 236)(67, 217)(68, 219)(69, 238)(70, 240)(71, 221)(72, 223)(73, 239)(74, 237)(75, 225)(76, 227)(77, 235)(78, 233)(79, 229)(80, 231)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.602
Graph:: simple bipartite
	v = 80 e = 160 f = 60
	degree seq :: [ 4^80 ]

E11.599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 5, 85)(3, 83, 9, 89, 14, 94, 11, 91)(4, 84, 12, 92, 15, 95, 8, 88)(7, 87, 16, 96, 13, 93, 18, 98)(10, 90, 21, 101, 24, 104, 20, 100)(17, 97, 27, 107, 23, 103, 26, 106)(19, 99, 29, 109, 22, 102, 31, 111)(25, 105, 33, 113, 28, 108, 35, 115)(30, 110, 39, 119, 32, 112, 38, 118)(34, 114, 43, 123, 36, 116, 42, 122)(37, 117, 45, 125, 40, 120, 47, 127)(41, 121, 49, 129, 44, 124, 51, 131)(46, 126, 55, 135, 48, 128, 54, 134)(50, 130, 59, 139, 52, 132, 58, 138)(53, 133, 61, 141, 56, 136, 63, 143)(57, 137, 65, 145, 60, 140, 67, 147)(62, 142, 71, 151, 64, 144, 70, 150)(66, 146, 75, 155, 68, 148, 74, 154)(69, 149, 73, 153, 72, 152, 76, 156)(77, 157, 80, 160, 78, 158, 79, 159)(161, 241, 163, 243)(162, 242, 167, 247)(164, 244, 170, 250)(165, 245, 173, 253)(166, 246, 174, 254)(168, 248, 177, 257)(169, 249, 179, 259)(171, 251, 182, 262)(172, 252, 183, 263)(175, 255, 184, 264)(176, 256, 185, 265)(178, 258, 188, 268)(180, 260, 190, 270)(181, 261, 192, 272)(186, 266, 194, 274)(187, 267, 196, 276)(189, 269, 197, 277)(191, 271, 200, 280)(193, 273, 201, 281)(195, 275, 204, 284)(198, 278, 206, 286)(199, 279, 208, 288)(202, 282, 210, 290)(203, 283, 212, 292)(205, 285, 213, 293)(207, 287, 216, 296)(209, 289, 217, 297)(211, 291, 220, 300)(214, 294, 222, 302)(215, 295, 224, 304)(218, 298, 226, 306)(219, 299, 228, 308)(221, 301, 229, 309)(223, 303, 232, 312)(225, 305, 233, 313)(227, 307, 236, 316)(230, 310, 237, 317)(231, 311, 238, 318)(234, 314, 239, 319)(235, 315, 240, 320)
	L = (1, 164)(2, 168)(3, 170)(4, 161)(5, 172)(6, 175)(7, 177)(8, 162)(9, 180)(10, 163)(11, 181)(12, 165)(13, 183)(14, 184)(15, 166)(16, 186)(17, 167)(18, 187)(19, 190)(20, 169)(21, 171)(22, 192)(23, 173)(24, 174)(25, 194)(26, 176)(27, 178)(28, 196)(29, 198)(30, 179)(31, 199)(32, 182)(33, 202)(34, 185)(35, 203)(36, 188)(37, 206)(38, 189)(39, 191)(40, 208)(41, 210)(42, 193)(43, 195)(44, 212)(45, 214)(46, 197)(47, 215)(48, 200)(49, 218)(50, 201)(51, 219)(52, 204)(53, 222)(54, 205)(55, 207)(56, 224)(57, 226)(58, 209)(59, 211)(60, 228)(61, 230)(62, 213)(63, 231)(64, 216)(65, 234)(66, 217)(67, 235)(68, 220)(69, 237)(70, 221)(71, 223)(72, 238)(73, 239)(74, 225)(75, 227)(76, 240)(77, 229)(78, 232)(79, 233)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.597
Graph:: simple bipartite
	v = 60 e = 160 f = 80
	degree seq :: [ 4^40, 8^20 ]

E11.600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 5, 85)(3, 83, 9, 89, 14, 94, 11, 91)(4, 84, 12, 92, 15, 95, 8, 88)(7, 87, 16, 96, 13, 93, 18, 98)(10, 90, 21, 101, 24, 104, 20, 100)(17, 97, 27, 107, 23, 103, 26, 106)(19, 99, 29, 109, 22, 102, 31, 111)(25, 105, 33, 113, 28, 108, 35, 115)(30, 110, 39, 119, 32, 112, 38, 118)(34, 114, 43, 123, 36, 116, 42, 122)(37, 117, 45, 125, 40, 120, 47, 127)(41, 121, 49, 129, 44, 124, 51, 131)(46, 126, 55, 135, 48, 128, 54, 134)(50, 130, 59, 139, 52, 132, 58, 138)(53, 133, 61, 141, 56, 136, 63, 143)(57, 137, 65, 145, 60, 140, 67, 147)(62, 142, 71, 151, 64, 144, 70, 150)(66, 146, 75, 155, 68, 148, 74, 154)(69, 149, 76, 156, 72, 152, 73, 153)(77, 157, 79, 159, 78, 158, 80, 160)(161, 241, 163, 243)(162, 242, 167, 247)(164, 244, 170, 250)(165, 245, 173, 253)(166, 246, 174, 254)(168, 248, 177, 257)(169, 249, 179, 259)(171, 251, 182, 262)(172, 252, 183, 263)(175, 255, 184, 264)(176, 256, 185, 265)(178, 258, 188, 268)(180, 260, 190, 270)(181, 261, 192, 272)(186, 266, 194, 274)(187, 267, 196, 276)(189, 269, 197, 277)(191, 271, 200, 280)(193, 273, 201, 281)(195, 275, 204, 284)(198, 278, 206, 286)(199, 279, 208, 288)(202, 282, 210, 290)(203, 283, 212, 292)(205, 285, 213, 293)(207, 287, 216, 296)(209, 289, 217, 297)(211, 291, 220, 300)(214, 294, 222, 302)(215, 295, 224, 304)(218, 298, 226, 306)(219, 299, 228, 308)(221, 301, 229, 309)(223, 303, 232, 312)(225, 305, 233, 313)(227, 307, 236, 316)(230, 310, 237, 317)(231, 311, 238, 318)(234, 314, 239, 319)(235, 315, 240, 320)
	L = (1, 164)(2, 168)(3, 170)(4, 161)(5, 172)(6, 175)(7, 177)(8, 162)(9, 180)(10, 163)(11, 181)(12, 165)(13, 183)(14, 184)(15, 166)(16, 186)(17, 167)(18, 187)(19, 190)(20, 169)(21, 171)(22, 192)(23, 173)(24, 174)(25, 194)(26, 176)(27, 178)(28, 196)(29, 198)(30, 179)(31, 199)(32, 182)(33, 202)(34, 185)(35, 203)(36, 188)(37, 206)(38, 189)(39, 191)(40, 208)(41, 210)(42, 193)(43, 195)(44, 212)(45, 214)(46, 197)(47, 215)(48, 200)(49, 218)(50, 201)(51, 219)(52, 204)(53, 222)(54, 205)(55, 207)(56, 224)(57, 226)(58, 209)(59, 211)(60, 228)(61, 230)(62, 213)(63, 231)(64, 216)(65, 234)(66, 217)(67, 235)(68, 220)(69, 237)(70, 221)(71, 223)(72, 238)(73, 239)(74, 225)(75, 227)(76, 240)(77, 229)(78, 232)(79, 233)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.595
Graph:: simple bipartite
	v = 60 e = 160 f = 80
	degree seq :: [ 4^40, 8^20 ]

E11.601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^2 * Y1^-2, Y1^4, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 5, 85)(3, 83, 11, 91, 16, 96, 13, 93)(4, 84, 9, 89, 6, 86, 10, 90)(8, 88, 17, 97, 15, 95, 19, 99)(12, 92, 22, 102, 14, 94, 23, 103)(18, 98, 26, 106, 20, 100, 27, 107)(21, 101, 29, 109, 24, 104, 31, 111)(25, 105, 33, 113, 28, 108, 35, 115)(30, 110, 38, 118, 32, 112, 39, 119)(34, 114, 42, 122, 36, 116, 43, 123)(37, 117, 45, 125, 40, 120, 47, 127)(41, 121, 49, 129, 44, 124, 51, 131)(46, 126, 54, 134, 48, 128, 55, 135)(50, 130, 58, 138, 52, 132, 59, 139)(53, 133, 61, 141, 56, 136, 63, 143)(57, 137, 65, 145, 60, 140, 67, 147)(62, 142, 70, 150, 64, 144, 71, 151)(66, 146, 74, 154, 68, 148, 75, 155)(69, 149, 76, 156, 72, 152, 73, 153)(77, 157, 80, 160, 78, 158, 79, 159)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 174, 254)(165, 245, 175, 255)(166, 246, 172, 252)(167, 247, 176, 256)(169, 249, 180, 260)(170, 250, 178, 258)(171, 251, 181, 261)(173, 253, 184, 264)(177, 257, 185, 265)(179, 259, 188, 268)(182, 262, 192, 272)(183, 263, 190, 270)(186, 266, 196, 276)(187, 267, 194, 274)(189, 269, 197, 277)(191, 271, 200, 280)(193, 273, 201, 281)(195, 275, 204, 284)(198, 278, 208, 288)(199, 279, 206, 286)(202, 282, 212, 292)(203, 283, 210, 290)(205, 285, 213, 293)(207, 287, 216, 296)(209, 289, 217, 297)(211, 291, 220, 300)(214, 294, 224, 304)(215, 295, 222, 302)(218, 298, 228, 308)(219, 299, 226, 306)(221, 301, 229, 309)(223, 303, 232, 312)(225, 305, 233, 313)(227, 307, 236, 316)(230, 310, 238, 318)(231, 311, 237, 317)(234, 314, 240, 320)(235, 315, 239, 319)
	L = (1, 164)(2, 169)(3, 172)(4, 167)(5, 170)(6, 161)(7, 166)(8, 178)(9, 165)(10, 162)(11, 182)(12, 176)(13, 183)(14, 163)(15, 180)(16, 174)(17, 186)(18, 175)(19, 187)(20, 168)(21, 190)(22, 173)(23, 171)(24, 192)(25, 194)(26, 179)(27, 177)(28, 196)(29, 198)(30, 184)(31, 199)(32, 181)(33, 202)(34, 188)(35, 203)(36, 185)(37, 206)(38, 191)(39, 189)(40, 208)(41, 210)(42, 195)(43, 193)(44, 212)(45, 214)(46, 200)(47, 215)(48, 197)(49, 218)(50, 204)(51, 219)(52, 201)(53, 222)(54, 207)(55, 205)(56, 224)(57, 226)(58, 211)(59, 209)(60, 228)(61, 230)(62, 216)(63, 231)(64, 213)(65, 234)(66, 220)(67, 235)(68, 217)(69, 237)(70, 223)(71, 221)(72, 238)(73, 239)(74, 227)(75, 225)(76, 240)(77, 232)(78, 229)(79, 236)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.596
Graph:: simple bipartite
	v = 60 e = 160 f = 80
	degree seq :: [ 4^40, 8^20 ]

E11.602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C4 x D10) : C2 (small group id <80, 42>)
Aut   = (D8 x D10) : C2 (small group id <160, 224>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y1^-1 * Y3^-1)^2, Y3^2 * Y1^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y1^-1 * Y2 * Y3^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 5, 85)(3, 83, 11, 91, 16, 96, 13, 93)(4, 84, 9, 89, 6, 86, 10, 90)(8, 88, 17, 97, 15, 95, 19, 99)(12, 92, 22, 102, 14, 94, 23, 103)(18, 98, 26, 106, 20, 100, 27, 107)(21, 101, 29, 109, 24, 104, 31, 111)(25, 105, 33, 113, 28, 108, 35, 115)(30, 110, 38, 118, 32, 112, 39, 119)(34, 114, 42, 122, 36, 116, 43, 123)(37, 117, 45, 125, 40, 120, 47, 127)(41, 121, 49, 129, 44, 124, 51, 131)(46, 126, 54, 134, 48, 128, 55, 135)(50, 130, 58, 138, 52, 132, 59, 139)(53, 133, 61, 141, 56, 136, 63, 143)(57, 137, 65, 145, 60, 140, 67, 147)(62, 142, 70, 150, 64, 144, 71, 151)(66, 146, 74, 154, 68, 148, 75, 155)(69, 149, 73, 153, 72, 152, 76, 156)(77, 157, 79, 159, 78, 158, 80, 160)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 174, 254)(165, 245, 175, 255)(166, 246, 172, 252)(167, 247, 176, 256)(169, 249, 180, 260)(170, 250, 178, 258)(171, 251, 181, 261)(173, 253, 184, 264)(177, 257, 185, 265)(179, 259, 188, 268)(182, 262, 192, 272)(183, 263, 190, 270)(186, 266, 196, 276)(187, 267, 194, 274)(189, 269, 197, 277)(191, 271, 200, 280)(193, 273, 201, 281)(195, 275, 204, 284)(198, 278, 208, 288)(199, 279, 206, 286)(202, 282, 212, 292)(203, 283, 210, 290)(205, 285, 213, 293)(207, 287, 216, 296)(209, 289, 217, 297)(211, 291, 220, 300)(214, 294, 224, 304)(215, 295, 222, 302)(218, 298, 228, 308)(219, 299, 226, 306)(221, 301, 229, 309)(223, 303, 232, 312)(225, 305, 233, 313)(227, 307, 236, 316)(230, 310, 238, 318)(231, 311, 237, 317)(234, 314, 240, 320)(235, 315, 239, 319)
	L = (1, 164)(2, 169)(3, 172)(4, 167)(5, 170)(6, 161)(7, 166)(8, 178)(9, 165)(10, 162)(11, 182)(12, 176)(13, 183)(14, 163)(15, 180)(16, 174)(17, 186)(18, 175)(19, 187)(20, 168)(21, 190)(22, 173)(23, 171)(24, 192)(25, 194)(26, 179)(27, 177)(28, 196)(29, 198)(30, 184)(31, 199)(32, 181)(33, 202)(34, 188)(35, 203)(36, 185)(37, 206)(38, 191)(39, 189)(40, 208)(41, 210)(42, 195)(43, 193)(44, 212)(45, 214)(46, 200)(47, 215)(48, 197)(49, 218)(50, 204)(51, 219)(52, 201)(53, 222)(54, 207)(55, 205)(56, 224)(57, 226)(58, 211)(59, 209)(60, 228)(61, 230)(62, 216)(63, 231)(64, 213)(65, 234)(66, 220)(67, 235)(68, 217)(69, 237)(70, 223)(71, 221)(72, 238)(73, 239)(74, 227)(75, 225)(76, 240)(77, 232)(78, 229)(79, 236)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.598
Graph:: simple bipartite
	v = 60 e = 160 f = 80
	degree seq :: [ 4^40, 8^20 ]

E11.603 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = C4 x (C5 : C4) (small group id <80, 30>)
Aut   = C4 x (C5 : C4) (small group id <80, 30>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X2 * X1 * X2^2 * X1^-1 * X2, X2 * X1^-1 * X2^-2 * X1 * X2, (X2^-2 * X1^-2)^2, (X2^-1 * X1^-1)^4, X2 * X1^-2 * X2 * X1^2 * X2 * X1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 23, 11)(5, 14, 33, 15)(7, 18, 39, 20)(8, 21, 44, 22)(10, 19, 35, 26)(12, 29, 53, 30)(13, 31, 56, 32)(16, 34, 57, 36)(17, 37, 62, 38)(24, 47, 69, 48)(25, 49, 70, 50)(27, 51, 65, 40)(28, 52, 66, 41)(42, 67, 45, 58)(43, 68, 46, 59)(54, 60, 73, 63)(55, 61, 74, 64)(71, 75, 79, 77)(72, 76, 80, 78)(81, 83, 90, 85)(82, 87, 99, 88)(84, 92, 106, 93)(86, 96, 115, 97)(89, 104, 94, 105)(91, 107, 95, 108)(98, 120, 101, 121)(100, 122, 102, 123)(103, 125, 113, 126)(109, 134, 111, 135)(110, 127, 112, 129)(114, 138, 117, 139)(116, 140, 118, 141)(119, 143, 124, 144)(128, 142, 130, 137)(131, 151, 132, 152)(133, 145, 136, 146)(147, 155, 148, 156)(149, 157, 150, 158)(153, 159, 154, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E11.604
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.604 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = C4 x (C5 : C4) (small group id <80, 30>)
Aut   = C4 x (C5 : C4) (small group id <80, 30>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X2 * X1 * X2^2 * X1^-1 * X2, X2 * X1^-1 * X2^-2 * X1 * X2, (X2^-2 * X1^-2)^2, (X2^-1 * X1^-1)^4, X2 * X1^-2 * X2 * X1^2 * X2 * X1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 23, 103, 11, 91)(5, 85, 14, 94, 33, 113, 15, 95)(7, 87, 18, 98, 39, 119, 20, 100)(8, 88, 21, 101, 44, 124, 22, 102)(10, 90, 19, 99, 35, 115, 26, 106)(12, 92, 29, 109, 53, 133, 30, 110)(13, 93, 31, 111, 56, 136, 32, 112)(16, 96, 34, 114, 57, 137, 36, 116)(17, 97, 37, 117, 62, 142, 38, 118)(24, 104, 47, 127, 69, 149, 48, 128)(25, 105, 49, 129, 70, 150, 50, 130)(27, 107, 51, 131, 65, 145, 40, 120)(28, 108, 52, 132, 66, 146, 41, 121)(42, 122, 67, 147, 45, 125, 58, 138)(43, 123, 68, 148, 46, 126, 59, 139)(54, 134, 60, 140, 73, 153, 63, 143)(55, 135, 61, 141, 74, 154, 64, 144)(71, 151, 75, 155, 79, 159, 77, 157)(72, 152, 76, 156, 80, 160, 78, 158)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 96)(7, 99)(8, 82)(9, 104)(10, 85)(11, 107)(12, 106)(13, 84)(14, 105)(15, 108)(16, 115)(17, 86)(18, 120)(19, 88)(20, 122)(21, 121)(22, 123)(23, 125)(24, 94)(25, 89)(26, 93)(27, 95)(28, 91)(29, 134)(30, 127)(31, 135)(32, 129)(33, 126)(34, 138)(35, 97)(36, 140)(37, 139)(38, 141)(39, 143)(40, 101)(41, 98)(42, 102)(43, 100)(44, 144)(45, 113)(46, 103)(47, 112)(48, 142)(49, 110)(50, 137)(51, 151)(52, 152)(53, 145)(54, 111)(55, 109)(56, 146)(57, 128)(58, 117)(59, 114)(60, 118)(61, 116)(62, 130)(63, 124)(64, 119)(65, 136)(66, 133)(67, 155)(68, 156)(69, 157)(70, 158)(71, 132)(72, 131)(73, 159)(74, 160)(75, 148)(76, 147)(77, 150)(78, 149)(79, 154)(80, 153)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E11.603
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.605 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = C20 : C4 (small group id <80, 31>)
Aut   = C20 : C4 (small group id <80, 31>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X2 * X1^-1 * X2^-2 * X1 * X2, (X2^-1 * X1^-1)^4, X2 * X1^-2 * X2^-1 * X1^2 * X2 * X1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 23, 11)(5, 14, 33, 15)(7, 18, 39, 20)(8, 21, 44, 22)(10, 19, 35, 26)(12, 29, 53, 30)(13, 31, 56, 32)(16, 34, 57, 36)(17, 37, 62, 38)(24, 47, 69, 48)(25, 49, 70, 50)(27, 51, 65, 40)(28, 52, 66, 41)(42, 67, 46, 58)(43, 68, 45, 59)(54, 60, 73, 64)(55, 61, 74, 63)(71, 76, 79, 78)(72, 75, 80, 77)(81, 83, 90, 85)(82, 87, 99, 88)(84, 92, 106, 93)(86, 96, 115, 97)(89, 104, 94, 105)(91, 107, 95, 108)(98, 120, 101, 121)(100, 122, 102, 123)(103, 125, 113, 126)(109, 134, 111, 135)(110, 127, 112, 129)(114, 138, 117, 139)(116, 140, 118, 141)(119, 143, 124, 144)(128, 137, 130, 142)(131, 151, 132, 152)(133, 146, 136, 145)(147, 155, 148, 156)(149, 157, 150, 158)(153, 159, 154, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E11.606
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.606 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = C20 : C4 (small group id <80, 31>)
Aut   = C20 : C4 (small group id <80, 31>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X2 * X1^-1 * X2^-2 * X1 * X2, (X2^-1 * X1^-1)^4, X2 * X1^-2 * X2^-1 * X1^2 * X2 * X1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 23, 103, 11, 91)(5, 85, 14, 94, 33, 113, 15, 95)(7, 87, 18, 98, 39, 119, 20, 100)(8, 88, 21, 101, 44, 124, 22, 102)(10, 90, 19, 99, 35, 115, 26, 106)(12, 92, 29, 109, 53, 133, 30, 110)(13, 93, 31, 111, 56, 136, 32, 112)(16, 96, 34, 114, 57, 137, 36, 116)(17, 97, 37, 117, 62, 142, 38, 118)(24, 104, 47, 127, 69, 149, 48, 128)(25, 105, 49, 129, 70, 150, 50, 130)(27, 107, 51, 131, 65, 145, 40, 120)(28, 108, 52, 132, 66, 146, 41, 121)(42, 122, 67, 147, 46, 126, 58, 138)(43, 123, 68, 148, 45, 125, 59, 139)(54, 134, 60, 140, 73, 153, 64, 144)(55, 135, 61, 141, 74, 154, 63, 143)(71, 151, 76, 156, 79, 159, 78, 158)(72, 152, 75, 155, 80, 160, 77, 157)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 96)(7, 99)(8, 82)(9, 104)(10, 85)(11, 107)(12, 106)(13, 84)(14, 105)(15, 108)(16, 115)(17, 86)(18, 120)(19, 88)(20, 122)(21, 121)(22, 123)(23, 125)(24, 94)(25, 89)(26, 93)(27, 95)(28, 91)(29, 134)(30, 127)(31, 135)(32, 129)(33, 126)(34, 138)(35, 97)(36, 140)(37, 139)(38, 141)(39, 143)(40, 101)(41, 98)(42, 102)(43, 100)(44, 144)(45, 113)(46, 103)(47, 112)(48, 137)(49, 110)(50, 142)(51, 151)(52, 152)(53, 146)(54, 111)(55, 109)(56, 145)(57, 130)(58, 117)(59, 114)(60, 118)(61, 116)(62, 128)(63, 124)(64, 119)(65, 133)(66, 136)(67, 155)(68, 156)(69, 157)(70, 158)(71, 132)(72, 131)(73, 159)(74, 160)(75, 148)(76, 147)(77, 150)(78, 149)(79, 154)(80, 153)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E11.605
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.607 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 8, 8})
Quotient :: halfedge
Aut^+ = (C5 : C8) : C2 (small group id <80, 28>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 1
Presentation :: [ X2^2, X1^8, X1^-1 * X2 * X1^2 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1, X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-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, 61, 69, 66, 41, 62, 34)(17, 35, 56, 28, 55, 72, 64, 36)(29, 57, 32, 50, 70, 65, 37, 58)(40, 51, 71, 54, 68, 67, 74, 59)(63, 73, 78, 75, 79, 77, 80, 76)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 55)(33, 48)(34, 52)(35, 63)(36, 60)(38, 66)(39, 56)(42, 64)(43, 58)(44, 67)(47, 68)(49, 69)(53, 70)(57, 73)(61, 75)(62, 76)(65, 77)(71, 78)(72, 79)(74, 80)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.608 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C5 : C8) : C2 (small group id <80, 28>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 1
Presentation :: [ X1^2, X2^8, X1 * X2 * X1 * X2 * X1 * X2^-3 * X1 * X2, X2^-2 * X1 * X2^2 * X1 * X2 * X1 * X2^-1 * X1, X2 * X1 * X2^-1 * X1 * X2^2 * X1 * X2^-2 * X1 ]
Map::
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 46)(24, 48)(26, 52)(27, 54)(28, 56)(30, 60)(32, 61)(34, 63)(35, 50)(36, 65)(38, 53)(40, 55)(42, 57)(43, 58)(44, 67)(47, 68)(49, 70)(51, 72)(59, 74)(62, 71)(64, 69)(66, 75)(73, 78)(76, 79)(77, 80)(81, 83, 88, 98, 118, 102, 90, 84)(82, 85, 92, 106, 133, 110, 94, 86)(87, 95, 112, 142, 125, 136, 114, 96)(89, 99, 120, 126, 117, 146, 122, 100)(91, 103, 127, 149, 140, 121, 129, 104)(93, 107, 135, 111, 132, 153, 137, 108)(97, 115, 144, 124, 101, 123, 128, 116)(105, 130, 151, 139, 109, 138, 113, 131)(119, 145, 156, 141, 155, 147, 157, 143)(134, 152, 159, 148, 158, 154, 160, 150)
	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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E11.609
Transitivity :: ET+
Graph:: simple bipartite
	v = 50 e = 80 f = 10
	degree seq :: [ 2^40, 8^10 ]

E11.609 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C5 : C8) : C2 (small group id <80, 28>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X1^-1 * X2^-1 * X1 * X2^-2 * X1^-1 * X2 * X1^-1, X2^2 * X1^-1 * X2^-1 * X1^2 * X2^-1 * X1^-1, X2^-4 * X1^-4, X2 * X1^-1 * X2 * X1^-2 * X2^2 * X1^-1, (X1^-1 * X2 * X1^-2)^2, X1^8, X2^8 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 16, 96, 40, 120, 34, 114, 13, 93, 4, 84)(3, 83, 9, 89, 23, 103, 57, 137, 39, 119, 42, 122, 29, 109, 11, 91)(5, 85, 14, 94, 35, 115, 56, 136, 26, 106, 51, 131, 20, 100, 7, 87)(8, 88, 21, 101, 52, 132, 33, 113, 48, 128, 71, 151, 44, 124, 17, 97)(10, 90, 25, 105, 60, 140, 36, 116, 15, 95, 38, 118, 62, 142, 27, 107)(12, 92, 30, 110, 64, 144, 67, 147, 41, 121, 18, 98, 45, 125, 32, 112)(19, 99, 47, 127, 73, 153, 53, 133, 22, 102, 55, 135, 28, 108, 49, 129)(24, 104, 59, 139, 76, 156, 54, 134, 31, 111, 65, 145, 70, 150, 58, 138)(37, 117, 46, 126, 72, 152, 50, 130, 69, 149, 43, 123, 68, 148, 66, 146)(61, 141, 74, 154, 79, 159, 77, 157, 63, 143, 75, 155, 80, 160, 78, 158)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 97)(7, 99)(8, 82)(9, 84)(10, 106)(11, 108)(12, 111)(13, 113)(14, 116)(15, 85)(16, 121)(17, 123)(18, 86)(19, 128)(20, 130)(21, 133)(22, 88)(23, 138)(24, 89)(25, 91)(26, 120)(27, 125)(28, 143)(29, 134)(30, 93)(31, 122)(32, 142)(33, 126)(34, 136)(35, 146)(36, 144)(37, 94)(38, 137)(39, 95)(40, 119)(41, 104)(42, 96)(43, 110)(44, 150)(45, 117)(46, 98)(47, 100)(48, 114)(49, 109)(50, 155)(51, 107)(52, 156)(53, 103)(54, 101)(55, 115)(56, 102)(57, 153)(58, 151)(59, 147)(60, 158)(61, 105)(62, 157)(63, 118)(64, 149)(65, 112)(66, 154)(67, 140)(68, 124)(69, 131)(70, 160)(71, 129)(72, 132)(73, 141)(74, 127)(75, 135)(76, 159)(77, 139)(78, 145)(79, 148)(80, 152)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E11.608
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 10 e = 80 f = 50
	degree seq :: [ 16^10 ]

E11.610 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 8, 8})
Quotient :: halfedge
Aut^+ = (C5 : C8) : C2 (small group id <80, 29>)
Aut   = (C5 : C8) : C2 (small group id <80, 29>)
|r| :: 1
Presentation :: [ X2^2, X1^8, X1^-1 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1, X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-3 ]
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, 62, 71, 66, 41, 63, 34)(17, 35, 56, 28, 55, 73, 65, 36)(29, 57, 37, 50, 69, 61, 32, 58)(40, 51, 70, 59, 68, 67, 72, 54)(64, 75, 78, 77, 80, 74, 79, 76)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 55)(33, 48)(34, 49)(35, 64)(36, 60)(38, 66)(39, 65)(42, 56)(43, 58)(44, 67)(47, 68)(52, 71)(53, 69)(57, 74)(61, 75)(62, 76)(63, 77)(70, 78)(72, 79)(73, 80)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 40 f = 10
	degree seq :: [ 8^10 ]

E11.611 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C5 : C8) : C2 (small group id <80, 29>)
Aut   = (C5 : C8) : C2 (small group id <80, 29>)
|r| :: 1
Presentation :: [ X1^2, X2^8, X2^-1 * X1 * X2^3 * X1 * X2^-1 * X1 * X2^-1 * X1, X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-1, X2^-1 * X1 * X2^4 * X1 * X2^-3 ]
Map::
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 46)(24, 48)(26, 52)(27, 54)(28, 56)(30, 60)(32, 61)(34, 63)(35, 58)(36, 64)(38, 53)(40, 57)(42, 55)(43, 50)(44, 67)(47, 68)(49, 70)(51, 71)(59, 74)(62, 72)(65, 69)(66, 76)(73, 79)(75, 78)(77, 80)(81, 83, 88, 98, 118, 102, 90, 84)(82, 85, 92, 106, 133, 110, 94, 86)(87, 95, 112, 142, 125, 136, 114, 96)(89, 99, 120, 126, 117, 146, 122, 100)(91, 103, 127, 149, 140, 121, 129, 104)(93, 107, 135, 111, 132, 153, 137, 108)(97, 115, 128, 124, 101, 123, 145, 116)(105, 130, 113, 139, 109, 138, 152, 131)(119, 144, 157, 143, 156, 147, 155, 141)(134, 151, 160, 150, 159, 154, 158, 148)
	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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E11.612
Transitivity :: ET+
Graph:: simple bipartite
	v = 50 e = 80 f = 10
	degree seq :: [ 2^40, 8^10 ]

E11.612 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C5 : C8) : C2 (small group id <80, 29>)
Aut   = (C5 : C8) : C2 (small group id <80, 29>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2 * X1^-1, X2^2 * X1^-1 * X2^-1 * X1^2 * X2^-1 * X1^-1, X2^-4 * X1^-4, X2^-4 * X1^4, X2^8 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 16, 96, 40, 120, 34, 114, 13, 93, 4, 84)(3, 83, 9, 89, 23, 103, 57, 137, 39, 119, 42, 122, 29, 109, 11, 91)(5, 85, 14, 94, 35, 115, 56, 136, 26, 106, 51, 131, 20, 100, 7, 87)(8, 88, 21, 101, 52, 132, 33, 113, 48, 128, 70, 150, 44, 124, 17, 97)(10, 90, 25, 105, 59, 139, 36, 116, 15, 95, 38, 118, 62, 142, 27, 107)(12, 92, 30, 110, 61, 141, 67, 147, 41, 121, 18, 98, 45, 125, 32, 112)(19, 99, 47, 127, 28, 108, 53, 133, 22, 102, 55, 135, 74, 154, 49, 129)(24, 104, 58, 138, 69, 149, 64, 144, 31, 111, 65, 145, 76, 156, 54, 134)(37, 117, 43, 123, 68, 148, 50, 130, 71, 151, 46, 126, 72, 152, 66, 146)(60, 140, 75, 155, 79, 159, 78, 158, 63, 143, 73, 153, 80, 160, 77, 157)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 97)(7, 99)(8, 82)(9, 84)(10, 106)(11, 108)(12, 111)(13, 113)(14, 116)(15, 85)(16, 121)(17, 123)(18, 86)(19, 128)(20, 130)(21, 133)(22, 88)(23, 134)(24, 89)(25, 91)(26, 120)(27, 141)(28, 143)(29, 144)(30, 93)(31, 122)(32, 139)(33, 126)(34, 136)(35, 146)(36, 125)(37, 94)(38, 137)(39, 95)(40, 119)(41, 104)(42, 96)(43, 110)(44, 149)(45, 151)(46, 98)(47, 100)(48, 114)(49, 103)(50, 155)(51, 107)(52, 156)(53, 109)(54, 101)(55, 115)(56, 102)(57, 154)(58, 147)(59, 157)(60, 105)(61, 117)(62, 158)(63, 118)(64, 150)(65, 112)(66, 153)(67, 142)(68, 124)(69, 160)(70, 129)(71, 131)(72, 132)(73, 127)(74, 140)(75, 135)(76, 159)(77, 138)(78, 145)(79, 148)(80, 152)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E11.611
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 10 e = 80 f = 50
	degree seq :: [ 16^10 ]

E11.613 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 44})
Quotient :: regular
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^-2 * T2 * T1^9 * T2 * T1^-11 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 77, 85, 82, 74, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 72, 80, 88, 84, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 73, 81, 86, 79, 70, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 75, 83, 87, 78, 71, 62, 55, 46, 39, 30, 22, 12, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 70)(63, 72)(67, 74)(68, 75)(69, 78)(71, 80)(73, 82)(76, 81)(77, 86)(79, 88)(83, 85)(84, 87)
	local type(s) :: { ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E11.614
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 44 f = 22
	degree seq :: [ 44^2 ]

E11.614 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 44})
Quotient :: regular
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * 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, 59, 32, 60)(35, 63, 39, 65)(36, 66, 38, 68)(37, 67, 44, 70)(40, 71, 43, 64)(41, 73, 42, 74)(45, 77, 46, 78)(47, 76, 48, 69)(49, 75, 50, 72)(51, 79, 52, 80)(53, 81, 54, 82)(55, 83, 56, 84)(57, 85, 58, 86)(61, 87, 62, 88)
	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, 49)(34, 50)(35, 64)(36, 67)(37, 69)(38, 70)(39, 71)(40, 72)(41, 63)(42, 65)(43, 75)(44, 76)(45, 66)(46, 68)(47, 60)(48, 59)(51, 73)(52, 74)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(61, 83)(62, 84)(85, 87)(86, 88)
	local type(s) :: { ( 44^4 ) }
Outer automorphisms :: reflexible
Dual of E11.613
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 22 e = 44 f = 2
	degree seq :: [ 4^22 ]

E11.615 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 44})
Quotient :: edge
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * 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, 61, 34, 63)(35, 66, 42, 68)(36, 67, 45, 70)(37, 72, 38, 69)(39, 77, 40, 65)(41, 73, 43, 75)(44, 78, 46, 80)(47, 74, 48, 71)(49, 79, 50, 76)(51, 82, 52, 84)(53, 85, 54, 86)(55, 83, 56, 81)(57, 87, 58, 88)(59, 62, 60, 64)(89, 90)(91, 95)(92, 97)(93, 98)(94, 100)(96, 99)(101, 105)(102, 106)(103, 107)(104, 108)(109, 113)(110, 114)(111, 115)(112, 116)(117, 121)(118, 122)(119, 143)(120, 144)(123, 153)(124, 157)(125, 159)(126, 162)(127, 164)(128, 167)(129, 154)(130, 165)(131, 156)(132, 155)(133, 160)(134, 158)(135, 169)(136, 171)(137, 151)(138, 149)(139, 161)(140, 163)(141, 166)(142, 168)(145, 170)(146, 172)(147, 173)(148, 174)(150, 175)(152, 176)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 88, 88 ), ( 88^4 ) }
Outer automorphisms :: reflexible
Dual of E11.619
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 88 f = 2
	degree seq :: [ 2^44, 4^22 ]

E11.616 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 44})
Quotient :: edge
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^-1 * T2^-22 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 81, 73, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(89, 90, 94, 92)(91, 97, 101, 96)(93, 99, 102, 95)(98, 104, 109, 105)(100, 103, 110, 107)(106, 113, 117, 112)(108, 115, 118, 111)(114, 120, 125, 121)(116, 119, 126, 123)(122, 129, 133, 128)(124, 131, 134, 127)(130, 136, 141, 137)(132, 135, 142, 139)(138, 145, 149, 144)(140, 147, 150, 143)(146, 152, 157, 153)(148, 151, 158, 155)(154, 161, 165, 160)(156, 163, 166, 159)(162, 168, 173, 169)(164, 167, 174, 171)(170, 175, 172, 176)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4^4 ), ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E11.620
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 88 f = 44
	degree seq :: [ 4^22, 44^2 ]

E11.617 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 44})
Quotient :: edge
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^9 * T2 * T1^-11 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 70)(63, 72)(67, 74)(68, 75)(69, 78)(71, 80)(73, 82)(76, 81)(77, 86)(79, 88)(83, 85)(84, 87)(89, 90, 93, 99, 108, 117, 125, 133, 141, 149, 157, 165, 173, 170, 162, 154, 146, 138, 130, 122, 114, 104, 111, 105, 112, 120, 128, 136, 144, 152, 160, 168, 176, 172, 164, 156, 148, 140, 132, 124, 116, 107, 98, 92)(91, 95, 103, 113, 121, 129, 137, 145, 153, 161, 169, 174, 167, 158, 151, 142, 135, 126, 119, 109, 102, 94, 101, 97, 106, 115, 123, 131, 139, 147, 155, 163, 171, 175, 166, 159, 150, 143, 134, 127, 118, 110, 100, 96)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 8, 8 ), ( 8^44 ) }
Outer automorphisms :: reflexible
Dual of E11.618
Transitivity :: ET+
Graph:: simple bipartite
	v = 46 e = 88 f = 22
	degree seq :: [ 2^44, 44^2 ]

E11.618 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 44})
Quotient :: loop
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 89, 3, 91, 8, 96, 4, 92)(2, 90, 5, 93, 11, 99, 6, 94)(7, 95, 13, 101, 9, 97, 14, 102)(10, 98, 15, 103, 12, 100, 16, 104)(17, 105, 21, 109, 18, 106, 22, 110)(19, 107, 23, 111, 20, 108, 24, 112)(25, 113, 29, 117, 26, 114, 30, 118)(27, 115, 31, 119, 28, 116, 32, 120)(33, 121, 53, 141, 34, 122, 55, 143)(35, 123, 57, 145, 40, 128, 59, 147)(36, 124, 61, 149, 43, 131, 63, 151)(37, 125, 64, 152, 38, 126, 60, 148)(39, 127, 67, 155, 41, 129, 69, 157)(42, 130, 72, 160, 44, 132, 74, 162)(45, 133, 77, 165, 46, 134, 79, 167)(47, 135, 81, 169, 48, 136, 83, 171)(49, 137, 85, 173, 50, 138, 87, 175)(51, 139, 86, 174, 52, 140, 88, 176)(54, 142, 84, 172, 56, 144, 82, 170)(58, 146, 73, 161, 70, 158, 76, 164)(62, 150, 68, 156, 75, 163, 71, 159)(65, 153, 78, 166, 66, 154, 80, 168)
	L = (1, 90)(2, 89)(3, 95)(4, 97)(5, 98)(6, 100)(7, 91)(8, 99)(9, 92)(10, 93)(11, 96)(12, 94)(13, 105)(14, 106)(15, 107)(16, 108)(17, 101)(18, 102)(19, 103)(20, 104)(21, 113)(22, 114)(23, 115)(24, 116)(25, 109)(26, 110)(27, 111)(28, 112)(29, 121)(30, 122)(31, 126)(32, 125)(33, 117)(34, 118)(35, 141)(36, 148)(37, 120)(38, 119)(39, 145)(40, 143)(41, 147)(42, 149)(43, 152)(44, 151)(45, 155)(46, 157)(47, 160)(48, 162)(49, 165)(50, 167)(51, 169)(52, 171)(53, 123)(54, 173)(55, 128)(56, 175)(57, 127)(58, 172)(59, 129)(60, 124)(61, 130)(62, 168)(63, 132)(64, 131)(65, 176)(66, 174)(67, 133)(68, 161)(69, 134)(70, 170)(71, 164)(72, 135)(73, 156)(74, 136)(75, 166)(76, 159)(77, 137)(78, 163)(79, 138)(80, 150)(81, 139)(82, 158)(83, 140)(84, 146)(85, 142)(86, 154)(87, 144)(88, 153)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E11.617
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 22 e = 88 f = 46
	degree seq :: [ 8^22 ]

E11.619 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 44})
Quotient :: loop
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^-1 * T2^-22 * T1^-1 ]
Map::
	R = (1, 89, 3, 91, 10, 98, 18, 106, 26, 114, 34, 122, 42, 130, 50, 138, 58, 146, 66, 154, 74, 162, 82, 170, 86, 174, 78, 166, 70, 158, 62, 150, 54, 142, 46, 134, 38, 126, 30, 118, 22, 110, 14, 102, 6, 94, 13, 101, 21, 109, 29, 117, 37, 125, 45, 133, 53, 141, 61, 149, 69, 157, 77, 165, 85, 173, 84, 172, 76, 164, 68, 156, 60, 148, 52, 140, 44, 132, 36, 124, 28, 116, 20, 108, 12, 100, 5, 93)(2, 90, 7, 95, 15, 103, 23, 111, 31, 119, 39, 127, 47, 135, 55, 143, 63, 151, 71, 159, 79, 167, 87, 175, 81, 169, 73, 161, 65, 153, 57, 145, 49, 137, 41, 129, 33, 121, 25, 113, 17, 105, 9, 97, 4, 92, 11, 99, 19, 107, 27, 115, 35, 123, 43, 131, 51, 139, 59, 147, 67, 155, 75, 163, 83, 171, 88, 176, 80, 168, 72, 160, 64, 152, 56, 144, 48, 136, 40, 128, 32, 120, 24, 112, 16, 104, 8, 96)
	L = (1, 90)(2, 94)(3, 97)(4, 89)(5, 99)(6, 92)(7, 93)(8, 91)(9, 101)(10, 104)(11, 102)(12, 103)(13, 96)(14, 95)(15, 110)(16, 109)(17, 98)(18, 113)(19, 100)(20, 115)(21, 105)(22, 107)(23, 108)(24, 106)(25, 117)(26, 120)(27, 118)(28, 119)(29, 112)(30, 111)(31, 126)(32, 125)(33, 114)(34, 129)(35, 116)(36, 131)(37, 121)(38, 123)(39, 124)(40, 122)(41, 133)(42, 136)(43, 134)(44, 135)(45, 128)(46, 127)(47, 142)(48, 141)(49, 130)(50, 145)(51, 132)(52, 147)(53, 137)(54, 139)(55, 140)(56, 138)(57, 149)(58, 152)(59, 150)(60, 151)(61, 144)(62, 143)(63, 158)(64, 157)(65, 146)(66, 161)(67, 148)(68, 163)(69, 153)(70, 155)(71, 156)(72, 154)(73, 165)(74, 168)(75, 166)(76, 167)(77, 160)(78, 159)(79, 174)(80, 173)(81, 162)(82, 175)(83, 164)(84, 176)(85, 169)(86, 171)(87, 172)(88, 170)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E11.615
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 88 f = 66
	degree seq :: [ 88^2 ]

E11.620 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 44})
Quotient :: loop
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^9 * T2 * T1^-11 ]
Map:: polytopal non-degenerate
	R = (1, 89, 3, 91)(2, 90, 6, 94)(4, 92, 9, 97)(5, 93, 12, 100)(7, 95, 16, 104)(8, 96, 17, 105)(10, 98, 15, 103)(11, 99, 21, 109)(13, 101, 23, 111)(14, 102, 24, 112)(18, 106, 26, 114)(19, 107, 27, 115)(20, 108, 30, 118)(22, 110, 32, 120)(25, 113, 34, 122)(28, 116, 33, 121)(29, 117, 38, 126)(31, 119, 40, 128)(35, 123, 42, 130)(36, 124, 43, 131)(37, 125, 46, 134)(39, 127, 48, 136)(41, 129, 50, 138)(44, 132, 49, 137)(45, 133, 54, 142)(47, 135, 56, 144)(51, 139, 58, 146)(52, 140, 59, 147)(53, 141, 62, 150)(55, 143, 64, 152)(57, 145, 66, 154)(60, 148, 65, 153)(61, 149, 70, 158)(63, 151, 72, 160)(67, 155, 74, 162)(68, 156, 75, 163)(69, 157, 78, 166)(71, 159, 80, 168)(73, 161, 82, 170)(76, 164, 81, 169)(77, 165, 86, 174)(79, 167, 88, 176)(83, 171, 85, 173)(84, 172, 87, 175)
	L = (1, 90)(2, 93)(3, 95)(4, 89)(5, 99)(6, 101)(7, 103)(8, 91)(9, 106)(10, 92)(11, 108)(12, 96)(13, 97)(14, 94)(15, 113)(16, 111)(17, 112)(18, 115)(19, 98)(20, 117)(21, 102)(22, 100)(23, 105)(24, 120)(25, 121)(26, 104)(27, 123)(28, 107)(29, 125)(30, 110)(31, 109)(32, 128)(33, 129)(34, 114)(35, 131)(36, 116)(37, 133)(38, 119)(39, 118)(40, 136)(41, 137)(42, 122)(43, 139)(44, 124)(45, 141)(46, 127)(47, 126)(48, 144)(49, 145)(50, 130)(51, 147)(52, 132)(53, 149)(54, 135)(55, 134)(56, 152)(57, 153)(58, 138)(59, 155)(60, 140)(61, 157)(62, 143)(63, 142)(64, 160)(65, 161)(66, 146)(67, 163)(68, 148)(69, 165)(70, 151)(71, 150)(72, 168)(73, 169)(74, 154)(75, 171)(76, 156)(77, 173)(78, 159)(79, 158)(80, 176)(81, 174)(82, 162)(83, 175)(84, 164)(85, 170)(86, 167)(87, 166)(88, 172)
	local type(s) :: { ( 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E11.616
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 44 e = 88 f = 24
	degree seq :: [ 4^44 ]

E11.621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^44 ]
Map::
	R = (1, 89, 2, 90)(3, 91, 7, 95)(4, 92, 9, 97)(5, 93, 10, 98)(6, 94, 12, 100)(8, 96, 11, 99)(13, 101, 17, 105)(14, 102, 18, 106)(15, 103, 19, 107)(16, 104, 20, 108)(21, 109, 25, 113)(22, 110, 26, 114)(23, 111, 27, 115)(24, 112, 28, 116)(29, 117, 33, 121)(30, 118, 34, 122)(31, 119, 38, 126)(32, 120, 37, 125)(35, 123, 53, 141)(36, 124, 60, 148)(39, 127, 57, 145)(40, 128, 55, 143)(41, 129, 59, 147)(42, 130, 61, 149)(43, 131, 64, 152)(44, 132, 63, 151)(45, 133, 67, 155)(46, 134, 69, 157)(47, 135, 72, 160)(48, 136, 74, 162)(49, 137, 77, 165)(50, 138, 79, 167)(51, 139, 81, 169)(52, 140, 83, 171)(54, 142, 85, 173)(56, 144, 87, 175)(58, 146, 84, 172)(62, 150, 80, 168)(65, 153, 88, 176)(66, 154, 86, 174)(68, 156, 73, 161)(70, 158, 82, 170)(71, 159, 76, 164)(75, 163, 78, 166)(177, 265, 179, 267, 184, 272, 180, 268)(178, 266, 181, 269, 187, 275, 182, 270)(183, 271, 189, 277, 185, 273, 190, 278)(186, 274, 191, 279, 188, 276, 192, 280)(193, 281, 197, 285, 194, 282, 198, 286)(195, 283, 199, 287, 196, 284, 200, 288)(201, 289, 205, 293, 202, 290, 206, 294)(203, 291, 207, 295, 204, 292, 208, 296)(209, 297, 229, 317, 210, 298, 231, 319)(211, 299, 233, 321, 216, 304, 235, 323)(212, 300, 237, 325, 219, 307, 239, 327)(213, 301, 240, 328, 214, 302, 236, 324)(215, 303, 243, 331, 217, 305, 245, 333)(218, 306, 248, 336, 220, 308, 250, 338)(221, 309, 253, 341, 222, 310, 255, 343)(223, 311, 257, 345, 224, 312, 259, 347)(225, 313, 261, 349, 226, 314, 263, 351)(227, 315, 262, 350, 228, 316, 264, 352)(230, 318, 260, 348, 232, 320, 258, 346)(234, 322, 249, 337, 246, 334, 252, 340)(238, 326, 244, 332, 251, 339, 247, 335)(241, 329, 254, 342, 242, 330, 256, 344)
	L = (1, 178)(2, 177)(3, 183)(4, 185)(5, 186)(6, 188)(7, 179)(8, 187)(9, 180)(10, 181)(11, 184)(12, 182)(13, 193)(14, 194)(15, 195)(16, 196)(17, 189)(18, 190)(19, 191)(20, 192)(21, 201)(22, 202)(23, 203)(24, 204)(25, 197)(26, 198)(27, 199)(28, 200)(29, 209)(30, 210)(31, 214)(32, 213)(33, 205)(34, 206)(35, 229)(36, 236)(37, 208)(38, 207)(39, 233)(40, 231)(41, 235)(42, 237)(43, 240)(44, 239)(45, 243)(46, 245)(47, 248)(48, 250)(49, 253)(50, 255)(51, 257)(52, 259)(53, 211)(54, 261)(55, 216)(56, 263)(57, 215)(58, 260)(59, 217)(60, 212)(61, 218)(62, 256)(63, 220)(64, 219)(65, 264)(66, 262)(67, 221)(68, 249)(69, 222)(70, 258)(71, 252)(72, 223)(73, 244)(74, 224)(75, 254)(76, 247)(77, 225)(78, 251)(79, 226)(80, 238)(81, 227)(82, 246)(83, 228)(84, 234)(85, 230)(86, 242)(87, 232)(88, 241)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E11.624
Graph:: bipartite
	v = 66 e = 176 f = 90
	degree seq :: [ 4^44, 8^22 ]

E11.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^21 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 89, 2, 90, 6, 94, 4, 92)(3, 91, 9, 97, 13, 101, 8, 96)(5, 93, 11, 99, 14, 102, 7, 95)(10, 98, 16, 104, 21, 109, 17, 105)(12, 100, 15, 103, 22, 110, 19, 107)(18, 106, 25, 113, 29, 117, 24, 112)(20, 108, 27, 115, 30, 118, 23, 111)(26, 114, 32, 120, 37, 125, 33, 121)(28, 116, 31, 119, 38, 126, 35, 123)(34, 122, 41, 129, 45, 133, 40, 128)(36, 124, 43, 131, 46, 134, 39, 127)(42, 130, 48, 136, 53, 141, 49, 137)(44, 132, 47, 135, 54, 142, 51, 139)(50, 138, 57, 145, 61, 149, 56, 144)(52, 140, 59, 147, 62, 150, 55, 143)(58, 146, 64, 152, 69, 157, 65, 153)(60, 148, 63, 151, 70, 158, 67, 155)(66, 154, 73, 161, 77, 165, 72, 160)(68, 156, 75, 163, 78, 166, 71, 159)(74, 162, 80, 168, 85, 173, 81, 169)(76, 164, 79, 167, 86, 174, 83, 171)(82, 170, 87, 175, 84, 172, 88, 176)(177, 265, 179, 267, 186, 274, 194, 282, 202, 290, 210, 298, 218, 306, 226, 314, 234, 322, 242, 330, 250, 338, 258, 346, 262, 350, 254, 342, 246, 334, 238, 326, 230, 318, 222, 310, 214, 302, 206, 294, 198, 286, 190, 278, 182, 270, 189, 277, 197, 285, 205, 293, 213, 301, 221, 309, 229, 317, 237, 325, 245, 333, 253, 341, 261, 349, 260, 348, 252, 340, 244, 332, 236, 324, 228, 316, 220, 308, 212, 300, 204, 292, 196, 284, 188, 276, 181, 269)(178, 266, 183, 271, 191, 279, 199, 287, 207, 295, 215, 303, 223, 311, 231, 319, 239, 327, 247, 335, 255, 343, 263, 351, 257, 345, 249, 337, 241, 329, 233, 321, 225, 313, 217, 305, 209, 297, 201, 289, 193, 281, 185, 273, 180, 268, 187, 275, 195, 283, 203, 291, 211, 299, 219, 307, 227, 315, 235, 323, 243, 331, 251, 339, 259, 347, 264, 352, 256, 344, 248, 336, 240, 328, 232, 320, 224, 312, 216, 304, 208, 296, 200, 288, 192, 280, 184, 272)
	L = (1, 179)(2, 183)(3, 186)(4, 187)(5, 177)(6, 189)(7, 191)(8, 178)(9, 180)(10, 194)(11, 195)(12, 181)(13, 197)(14, 182)(15, 199)(16, 184)(17, 185)(18, 202)(19, 203)(20, 188)(21, 205)(22, 190)(23, 207)(24, 192)(25, 193)(26, 210)(27, 211)(28, 196)(29, 213)(30, 198)(31, 215)(32, 200)(33, 201)(34, 218)(35, 219)(36, 204)(37, 221)(38, 206)(39, 223)(40, 208)(41, 209)(42, 226)(43, 227)(44, 212)(45, 229)(46, 214)(47, 231)(48, 216)(49, 217)(50, 234)(51, 235)(52, 220)(53, 237)(54, 222)(55, 239)(56, 224)(57, 225)(58, 242)(59, 243)(60, 228)(61, 245)(62, 230)(63, 247)(64, 232)(65, 233)(66, 250)(67, 251)(68, 236)(69, 253)(70, 238)(71, 255)(72, 240)(73, 241)(74, 258)(75, 259)(76, 244)(77, 261)(78, 246)(79, 263)(80, 248)(81, 249)(82, 262)(83, 264)(84, 252)(85, 260)(86, 254)(87, 257)(88, 256)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E11.623
Graph:: bipartite
	v = 24 e = 176 f = 132
	degree seq :: [ 8^22, 88^2 ]

E11.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3^19 * Y2 * Y3^-1 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^44 ]
Map:: polytopal
	R = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)(177, 265, 178, 266)(179, 267, 183, 271)(180, 268, 185, 273)(181, 269, 187, 275)(182, 270, 189, 277)(184, 272, 190, 278)(186, 274, 188, 276)(191, 279, 196, 284)(192, 280, 199, 287)(193, 281, 201, 289)(194, 282, 197, 285)(195, 283, 203, 291)(198, 286, 205, 293)(200, 288, 207, 295)(202, 290, 208, 296)(204, 292, 206, 294)(209, 297, 215, 303)(210, 298, 217, 305)(211, 299, 213, 301)(212, 300, 219, 307)(214, 302, 221, 309)(216, 304, 223, 311)(218, 306, 224, 312)(220, 308, 222, 310)(225, 313, 231, 319)(226, 314, 233, 321)(227, 315, 229, 317)(228, 316, 235, 323)(230, 318, 237, 325)(232, 320, 239, 327)(234, 322, 240, 328)(236, 324, 238, 326)(241, 329, 247, 335)(242, 330, 249, 337)(243, 331, 245, 333)(244, 332, 251, 339)(246, 334, 253, 341)(248, 336, 255, 343)(250, 338, 256, 344)(252, 340, 254, 342)(257, 345, 263, 351)(258, 346, 262, 350)(259, 347, 261, 349)(260, 348, 264, 352)
	L = (1, 179)(2, 181)(3, 184)(4, 177)(5, 188)(6, 178)(7, 191)(8, 193)(9, 194)(10, 180)(11, 196)(12, 198)(13, 199)(14, 182)(15, 185)(16, 183)(17, 202)(18, 203)(19, 186)(20, 189)(21, 187)(22, 206)(23, 207)(24, 190)(25, 192)(26, 210)(27, 211)(28, 195)(29, 197)(30, 214)(31, 215)(32, 200)(33, 201)(34, 218)(35, 219)(36, 204)(37, 205)(38, 222)(39, 223)(40, 208)(41, 209)(42, 226)(43, 227)(44, 212)(45, 213)(46, 230)(47, 231)(48, 216)(49, 217)(50, 234)(51, 235)(52, 220)(53, 221)(54, 238)(55, 239)(56, 224)(57, 225)(58, 242)(59, 243)(60, 228)(61, 229)(62, 246)(63, 247)(64, 232)(65, 233)(66, 250)(67, 251)(68, 236)(69, 237)(70, 254)(71, 255)(72, 240)(73, 241)(74, 258)(75, 259)(76, 244)(77, 245)(78, 262)(79, 263)(80, 248)(81, 249)(82, 261)(83, 264)(84, 252)(85, 253)(86, 257)(87, 260)(88, 256)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 8, 88 ), ( 8, 88, 8, 88 ) }
Outer automorphisms :: reflexible
Dual of E11.622
Graph:: simple bipartite
	v = 132 e = 176 f = 24
	degree seq :: [ 2^88, 4^44 ]

E11.624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y1^-2 * Y3 * Y1^9 * Y3 * Y1^-11 ]
Map::
	R = (1, 89, 2, 90, 5, 93, 11, 99, 20, 108, 29, 117, 37, 125, 45, 133, 53, 141, 61, 149, 69, 157, 77, 165, 85, 173, 82, 170, 74, 162, 66, 154, 58, 146, 50, 138, 42, 130, 34, 122, 26, 114, 16, 104, 23, 111, 17, 105, 24, 112, 32, 120, 40, 128, 48, 136, 56, 144, 64, 152, 72, 160, 80, 168, 88, 176, 84, 172, 76, 164, 68, 156, 60, 148, 52, 140, 44, 132, 36, 124, 28, 116, 19, 107, 10, 98, 4, 92)(3, 91, 7, 95, 15, 103, 25, 113, 33, 121, 41, 129, 49, 137, 57, 145, 65, 153, 73, 161, 81, 169, 86, 174, 79, 167, 70, 158, 63, 151, 54, 142, 47, 135, 38, 126, 31, 119, 21, 109, 14, 102, 6, 94, 13, 101, 9, 97, 18, 106, 27, 115, 35, 123, 43, 131, 51, 139, 59, 147, 67, 155, 75, 163, 83, 171, 87, 175, 78, 166, 71, 159, 62, 150, 55, 143, 46, 134, 39, 127, 30, 118, 22, 110, 12, 100, 8, 96)(177, 265)(178, 266)(179, 267)(180, 268)(181, 269)(182, 270)(183, 271)(184, 272)(185, 273)(186, 274)(187, 275)(188, 276)(189, 277)(190, 278)(191, 279)(192, 280)(193, 281)(194, 282)(195, 283)(196, 284)(197, 285)(198, 286)(199, 287)(200, 288)(201, 289)(202, 290)(203, 291)(204, 292)(205, 293)(206, 294)(207, 295)(208, 296)(209, 297)(210, 298)(211, 299)(212, 300)(213, 301)(214, 302)(215, 303)(216, 304)(217, 305)(218, 306)(219, 307)(220, 308)(221, 309)(222, 310)(223, 311)(224, 312)(225, 313)(226, 314)(227, 315)(228, 316)(229, 317)(230, 318)(231, 319)(232, 320)(233, 321)(234, 322)(235, 323)(236, 324)(237, 325)(238, 326)(239, 327)(240, 328)(241, 329)(242, 330)(243, 331)(244, 332)(245, 333)(246, 334)(247, 335)(248, 336)(249, 337)(250, 338)(251, 339)(252, 340)(253, 341)(254, 342)(255, 343)(256, 344)(257, 345)(258, 346)(259, 347)(260, 348)(261, 349)(262, 350)(263, 351)(264, 352)
	L = (1, 179)(2, 182)(3, 177)(4, 185)(5, 188)(6, 178)(7, 192)(8, 193)(9, 180)(10, 191)(11, 197)(12, 181)(13, 199)(14, 200)(15, 186)(16, 183)(17, 184)(18, 202)(19, 203)(20, 206)(21, 187)(22, 208)(23, 189)(24, 190)(25, 210)(26, 194)(27, 195)(28, 209)(29, 214)(30, 196)(31, 216)(32, 198)(33, 204)(34, 201)(35, 218)(36, 219)(37, 222)(38, 205)(39, 224)(40, 207)(41, 226)(42, 211)(43, 212)(44, 225)(45, 230)(46, 213)(47, 232)(48, 215)(49, 220)(50, 217)(51, 234)(52, 235)(53, 238)(54, 221)(55, 240)(56, 223)(57, 242)(58, 227)(59, 228)(60, 241)(61, 246)(62, 229)(63, 248)(64, 231)(65, 236)(66, 233)(67, 250)(68, 251)(69, 254)(70, 237)(71, 256)(72, 239)(73, 258)(74, 243)(75, 244)(76, 257)(77, 262)(78, 245)(79, 264)(80, 247)(81, 252)(82, 249)(83, 261)(84, 263)(85, 259)(86, 253)(87, 260)(88, 255)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E11.621
Graph:: simple bipartite
	v = 90 e = 176 f = 66
	degree seq :: [ 2^88, 88^2 ]

E11.625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^4, Y2^17 * Y1 * Y2^-5 * Y1 ]
Map::
	R = (1, 89, 2, 90)(3, 91, 7, 95)(4, 92, 9, 97)(5, 93, 11, 99)(6, 94, 13, 101)(8, 96, 14, 102)(10, 98, 12, 100)(15, 103, 20, 108)(16, 104, 23, 111)(17, 105, 25, 113)(18, 106, 21, 109)(19, 107, 27, 115)(22, 110, 29, 117)(24, 112, 31, 119)(26, 114, 32, 120)(28, 116, 30, 118)(33, 121, 39, 127)(34, 122, 41, 129)(35, 123, 37, 125)(36, 124, 43, 131)(38, 126, 45, 133)(40, 128, 47, 135)(42, 130, 48, 136)(44, 132, 46, 134)(49, 137, 55, 143)(50, 138, 57, 145)(51, 139, 53, 141)(52, 140, 59, 147)(54, 142, 61, 149)(56, 144, 63, 151)(58, 146, 64, 152)(60, 148, 62, 150)(65, 153, 71, 159)(66, 154, 73, 161)(67, 155, 69, 157)(68, 156, 75, 163)(70, 158, 77, 165)(72, 160, 79, 167)(74, 162, 80, 168)(76, 164, 78, 166)(81, 169, 87, 175)(82, 170, 86, 174)(83, 171, 85, 173)(84, 172, 88, 176)(177, 265, 179, 267, 184, 272, 193, 281, 202, 290, 210, 298, 218, 306, 226, 314, 234, 322, 242, 330, 250, 338, 258, 346, 261, 349, 253, 341, 245, 333, 237, 325, 229, 317, 221, 309, 213, 301, 205, 293, 197, 285, 187, 275, 196, 284, 189, 277, 199, 287, 207, 295, 215, 303, 223, 311, 231, 319, 239, 327, 247, 335, 255, 343, 263, 351, 260, 348, 252, 340, 244, 332, 236, 324, 228, 316, 220, 308, 212, 300, 204, 292, 195, 283, 186, 274, 180, 268)(178, 266, 181, 269, 188, 276, 198, 286, 206, 294, 214, 302, 222, 310, 230, 318, 238, 326, 246, 334, 254, 342, 262, 350, 257, 345, 249, 337, 241, 329, 233, 321, 225, 313, 217, 305, 209, 297, 201, 289, 192, 280, 183, 271, 191, 279, 185, 273, 194, 282, 203, 291, 211, 299, 219, 307, 227, 315, 235, 323, 243, 331, 251, 339, 259, 347, 264, 352, 256, 344, 248, 336, 240, 328, 232, 320, 224, 312, 216, 304, 208, 296, 200, 288, 190, 278, 182, 270)
	L = (1, 178)(2, 177)(3, 183)(4, 185)(5, 187)(6, 189)(7, 179)(8, 190)(9, 180)(10, 188)(11, 181)(12, 186)(13, 182)(14, 184)(15, 196)(16, 199)(17, 201)(18, 197)(19, 203)(20, 191)(21, 194)(22, 205)(23, 192)(24, 207)(25, 193)(26, 208)(27, 195)(28, 206)(29, 198)(30, 204)(31, 200)(32, 202)(33, 215)(34, 217)(35, 213)(36, 219)(37, 211)(38, 221)(39, 209)(40, 223)(41, 210)(42, 224)(43, 212)(44, 222)(45, 214)(46, 220)(47, 216)(48, 218)(49, 231)(50, 233)(51, 229)(52, 235)(53, 227)(54, 237)(55, 225)(56, 239)(57, 226)(58, 240)(59, 228)(60, 238)(61, 230)(62, 236)(63, 232)(64, 234)(65, 247)(66, 249)(67, 245)(68, 251)(69, 243)(70, 253)(71, 241)(72, 255)(73, 242)(74, 256)(75, 244)(76, 254)(77, 246)(78, 252)(79, 248)(80, 250)(81, 263)(82, 262)(83, 261)(84, 264)(85, 259)(86, 258)(87, 257)(88, 260)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E11.626
Graph:: bipartite
	v = 46 e = 176 f = 110
	degree seq :: [ 4^44, 88^2 ]

E11.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = C4 x D22 (small group id <88, 4>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-22 * Y1^-1, (Y3 * Y2^-1)^44 ]
Map::
	R = (1, 89, 2, 90, 6, 94, 4, 92)(3, 91, 9, 97, 13, 101, 8, 96)(5, 93, 11, 99, 14, 102, 7, 95)(10, 98, 16, 104, 21, 109, 17, 105)(12, 100, 15, 103, 22, 110, 19, 107)(18, 106, 25, 113, 29, 117, 24, 112)(20, 108, 27, 115, 30, 118, 23, 111)(26, 114, 32, 120, 37, 125, 33, 121)(28, 116, 31, 119, 38, 126, 35, 123)(34, 122, 41, 129, 45, 133, 40, 128)(36, 124, 43, 131, 46, 134, 39, 127)(42, 130, 48, 136, 53, 141, 49, 137)(44, 132, 47, 135, 54, 142, 51, 139)(50, 138, 57, 145, 61, 149, 56, 144)(52, 140, 59, 147, 62, 150, 55, 143)(58, 146, 64, 152, 69, 157, 65, 153)(60, 148, 63, 151, 70, 158, 67, 155)(66, 154, 73, 161, 77, 165, 72, 160)(68, 156, 75, 163, 78, 166, 71, 159)(74, 162, 80, 168, 85, 173, 81, 169)(76, 164, 79, 167, 86, 174, 83, 171)(82, 170, 87, 175, 84, 172, 88, 176)(177, 265)(178, 266)(179, 267)(180, 268)(181, 269)(182, 270)(183, 271)(184, 272)(185, 273)(186, 274)(187, 275)(188, 276)(189, 277)(190, 278)(191, 279)(192, 280)(193, 281)(194, 282)(195, 283)(196, 284)(197, 285)(198, 286)(199, 287)(200, 288)(201, 289)(202, 290)(203, 291)(204, 292)(205, 293)(206, 294)(207, 295)(208, 296)(209, 297)(210, 298)(211, 299)(212, 300)(213, 301)(214, 302)(215, 303)(216, 304)(217, 305)(218, 306)(219, 307)(220, 308)(221, 309)(222, 310)(223, 311)(224, 312)(225, 313)(226, 314)(227, 315)(228, 316)(229, 317)(230, 318)(231, 319)(232, 320)(233, 321)(234, 322)(235, 323)(236, 324)(237, 325)(238, 326)(239, 327)(240, 328)(241, 329)(242, 330)(243, 331)(244, 332)(245, 333)(246, 334)(247, 335)(248, 336)(249, 337)(250, 338)(251, 339)(252, 340)(253, 341)(254, 342)(255, 343)(256, 344)(257, 345)(258, 346)(259, 347)(260, 348)(261, 349)(262, 350)(263, 351)(264, 352)
	L = (1, 179)(2, 183)(3, 186)(4, 187)(5, 177)(6, 189)(7, 191)(8, 178)(9, 180)(10, 194)(11, 195)(12, 181)(13, 197)(14, 182)(15, 199)(16, 184)(17, 185)(18, 202)(19, 203)(20, 188)(21, 205)(22, 190)(23, 207)(24, 192)(25, 193)(26, 210)(27, 211)(28, 196)(29, 213)(30, 198)(31, 215)(32, 200)(33, 201)(34, 218)(35, 219)(36, 204)(37, 221)(38, 206)(39, 223)(40, 208)(41, 209)(42, 226)(43, 227)(44, 212)(45, 229)(46, 214)(47, 231)(48, 216)(49, 217)(50, 234)(51, 235)(52, 220)(53, 237)(54, 222)(55, 239)(56, 224)(57, 225)(58, 242)(59, 243)(60, 228)(61, 245)(62, 230)(63, 247)(64, 232)(65, 233)(66, 250)(67, 251)(68, 236)(69, 253)(70, 238)(71, 255)(72, 240)(73, 241)(74, 258)(75, 259)(76, 244)(77, 261)(78, 246)(79, 263)(80, 248)(81, 249)(82, 262)(83, 264)(84, 252)(85, 260)(86, 254)(87, 257)(88, 256)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4, 88 ), ( 4, 88, 4, 88, 4, 88, 4, 88 ) }
Outer automorphisms :: reflexible
Dual of E11.625
Graph:: simple bipartite
	v = 110 e = 176 f = 46
	degree seq :: [ 2^88, 8^22 ]

E11.627 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-4)^2, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-2 * T2 * T1^-1)^2, (T1 * T2)^6 ]
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, 63, 86, 70, 77, 51, 34)(17, 35, 66, 85, 61, 76, 50, 36)(28, 55, 41, 72, 84, 91, 74, 56)(29, 57, 40, 71, 79, 90, 73, 58)(32, 62, 78, 54, 37, 69, 75, 59)(64, 80, 68, 83, 93, 96, 95, 87)(65, 88, 67, 81, 94, 82, 92, 89)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 64)(34, 65)(35, 67)(36, 68)(38, 70)(39, 69)(42, 62)(43, 66)(44, 63)(47, 73)(48, 74)(49, 75)(52, 78)(53, 79)(55, 80)(56, 81)(57, 82)(58, 83)(60, 84)(71, 87)(72, 89)(76, 92)(77, 93)(85, 95)(86, 94)(88, 90)(91, 96)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E11.629
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.628 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-4)^2, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2)^6 ]
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, 51, 77, 70, 89, 65, 34)(17, 35, 50, 76, 61, 85, 68, 36)(28, 55, 74, 92, 84, 72, 41, 56)(29, 57, 73, 91, 79, 71, 40, 58)(32, 62, 78, 59, 37, 69, 75, 54)(63, 86, 93, 83, 95, 80, 67, 87)(64, 82, 96, 81, 94, 90, 66, 88)
	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, 61)(33, 63)(34, 64)(35, 66)(36, 67)(38, 70)(39, 62)(42, 69)(43, 68)(44, 65)(47, 73)(48, 74)(49, 75)(52, 78)(53, 79)(55, 80)(56, 81)(57, 82)(58, 83)(60, 84)(71, 90)(72, 86)(76, 93)(77, 94)(85, 96)(87, 91)(88, 92)(89, 95)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E11.630
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 48 f = 16
	degree seq :: [ 8^12 ]

E11.629 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2 * T1^-2)^2, (T2 * T1^-1 * T2 * T1 * T2 * T1)^2, (T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 22, 18, 8)(6, 13, 25, 21, 28, 14)(9, 19, 24, 12, 23, 20)(16, 30, 47, 34, 50, 31)(17, 32, 46, 29, 45, 33)(26, 40, 63, 44, 66, 41)(27, 42, 62, 39, 61, 43)(35, 53, 58, 37, 57, 54)(36, 55, 60, 38, 59, 56)(48, 72, 84, 74, 88, 68)(49, 73, 85, 71, 80, 65)(51, 75, 83, 69, 81, 67)(52, 76, 89, 70, 79, 77)(64, 86, 78, 87, 92, 82)(90, 93, 91, 94, 96, 95)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 29)(18, 34)(19, 35)(20, 36)(23, 37)(24, 38)(25, 39)(28, 44)(30, 48)(31, 49)(32, 51)(33, 52)(40, 64)(41, 65)(42, 67)(43, 68)(45, 69)(46, 70)(47, 71)(50, 74)(53, 76)(54, 73)(55, 75)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(66, 87)(72, 90)(77, 91)(86, 93)(88, 94)(89, 95)(92, 96)
	local type(s) :: { ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E11.627
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 6^16 ]

E11.630 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2, T1^-3 * T2 * T1 * T2 * T1^-3 * T2 * T1^-1 * T2, (T2 * T1 * T2 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 64, 39, 20)(12, 23, 44, 73, 47, 24)(16, 31, 57, 70, 59, 32)(17, 33, 54, 71, 62, 34)(21, 40, 67, 87, 61, 41)(22, 42, 69, 89, 72, 43)(26, 50, 79, 56, 30, 51)(27, 52, 77, 68, 82, 53)(35, 46, 76, 66, 38, 63)(37, 49, 75, 45, 74, 65)(55, 78, 90, 96, 95, 83)(58, 81, 93, 88, 91, 85)(60, 84, 94, 80, 92, 86)
	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, 44)(32, 58)(33, 60)(34, 61)(36, 59)(39, 53)(40, 56)(41, 68)(42, 70)(43, 71)(47, 77)(48, 78)(50, 69)(51, 80)(52, 81)(57, 84)(62, 85)(63, 88)(64, 83)(65, 86)(66, 72)(67, 74)(73, 90)(75, 91)(76, 92)(79, 93)(82, 94)(87, 95)(89, 96)
	local type(s) :: { ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E11.628
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 48 f = 12
	degree seq :: [ 6^16 ]

E11.631 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, (T1 * T2^-1 * T1 * T2 * T1 * T2)^2, (T2 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 21, 32, 16)(9, 19, 34, 17, 33, 20)(11, 22, 38, 28, 40, 23)(13, 26, 42, 24, 41, 27)(29, 45, 70, 50, 71, 46)(31, 48, 73, 47, 72, 49)(35, 53, 75, 51, 74, 54)(36, 55, 77, 52, 76, 56)(37, 57, 80, 62, 81, 58)(39, 60, 83, 59, 82, 61)(43, 65, 85, 63, 84, 66)(44, 67, 87, 64, 86, 68)(69, 89, 78, 91, 95, 90)(79, 92, 88, 94, 96, 93)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 120)(110, 124)(111, 125)(112, 127)(114, 121)(115, 131)(116, 132)(118, 133)(119, 135)(122, 139)(123, 140)(126, 143)(128, 146)(129, 147)(130, 148)(134, 155)(136, 158)(137, 159)(138, 160)(141, 165)(142, 157)(144, 162)(145, 154)(149, 163)(150, 156)(151, 161)(152, 174)(153, 175)(164, 184)(166, 179)(167, 187)(168, 181)(169, 176)(170, 182)(171, 178)(172, 180)(173, 186)(177, 190)(183, 189)(185, 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) :: { ( 16, 16 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E11.639
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 96 f = 12
	degree seq :: [ 2^48, 6^16 ]

E11.632 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
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^-2 * T1 * T2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^3, T2^-3 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 65, 39, 20)(11, 22, 43, 71, 45, 23)(13, 26, 50, 79, 52, 27)(17, 33, 42, 69, 61, 34)(21, 40, 67, 80, 51, 41)(24, 46, 29, 55, 75, 47)(28, 53, 81, 66, 38, 54)(31, 58, 85, 68, 86, 59)(35, 62, 83, 95, 88, 63)(36, 56, 84, 60, 87, 64)(44, 72, 91, 82, 92, 73)(48, 76, 89, 96, 94, 77)(49, 70, 90, 74, 93, 78)(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, 152)(128, 146)(129, 156)(130, 149)(133, 141)(135, 155)(136, 143)(137, 164)(139, 166)(142, 170)(148, 169)(150, 178)(151, 179)(153, 172)(154, 168)(157, 181)(158, 167)(159, 175)(160, 174)(161, 173)(162, 184)(163, 183)(165, 185)(171, 187)(176, 190)(177, 189)(180, 188)(182, 186)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E11.640
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 96 f = 12
	degree seq :: [ 2^48, 6^16 ]

E11.633 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T1 * T2^-1 * T1)^2, T1^6, (T1^-1 * T2^3)^2, T2^8, T2 * T1 * T2^-1 * T1 * T2^2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-2 * T1 * T2 * T1^-1 * T2^-3 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 35, 15, 5)(2, 7, 19, 42, 77, 48, 22, 8)(4, 12, 30, 60, 86, 52, 24, 9)(6, 17, 38, 69, 92, 73, 40, 18)(11, 28, 58, 34, 65, 70, 54, 25)(13, 31, 62, 85, 95, 87, 59, 29)(14, 32, 63, 81, 55, 27, 57, 33)(16, 36, 66, 89, 96, 90, 67, 37)(20, 44, 79, 47, 82, 53, 75, 41)(21, 45, 80, 51, 76, 43, 78, 46)(23, 49, 83, 64, 88, 61, 84, 50)(39, 71, 93, 72, 94, 74, 91, 68)(97, 98, 102, 112, 109, 100)(99, 105, 119, 132, 114, 107)(101, 110, 127, 133, 116, 103)(104, 117, 108, 125, 135, 113)(106, 121, 149, 162, 146, 123)(111, 130, 140, 163, 160, 128)(115, 137, 170, 158, 129, 139)(118, 143, 167, 155, 177, 141)(120, 147, 124, 136, 168, 145)(122, 151, 183, 185, 178, 144)(126, 142, 166, 134, 164, 157)(131, 156, 184, 186, 165, 161)(138, 172, 148, 181, 190, 169)(150, 174, 153, 180, 187, 171)(152, 173, 188, 192, 191, 182)(154, 176, 159, 179, 189, 175)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.641
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 6^16, 8^12 ]

E11.634 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, T1^6, T1^-2 * T2 * T1^-1 * T2 * T1 * T2^-2, T1^-1 * T2^-2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2^3 * T1^-1)^2, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 60, 38, 15, 5)(2, 7, 19, 46, 85, 54, 22, 8)(4, 12, 31, 68, 90, 50, 24, 9)(6, 17, 41, 29, 65, 83, 44, 18)(11, 28, 63, 37, 43, 81, 58, 25)(13, 33, 70, 80, 71, 34, 67, 30)(14, 35, 72, 87, 59, 27, 61, 36)(16, 39, 74, 49, 89, 55, 77, 40)(20, 48, 88, 53, 76, 73, 84, 45)(21, 51, 91, 64, 32, 47, 86, 52)(23, 56, 93, 62, 75, 69, 94, 57)(42, 79, 96, 82, 66, 92, 95, 78)(97, 98, 102, 112, 109, 100)(99, 105, 119, 151, 125, 107)(101, 110, 130, 145, 116, 103)(104, 117, 146, 176, 138, 113)(106, 121, 144, 170, 158, 123)(108, 126, 162, 179, 142, 128)(111, 133, 169, 173, 153, 131)(114, 139, 134, 164, 171, 135)(115, 141, 175, 166, 183, 143)(118, 149, 188, 163, 132, 147)(120, 148, 177, 140, 178, 152)(122, 155, 129, 136, 172, 150)(124, 137, 174, 165, 127, 160)(154, 182, 168, 190, 191, 184)(156, 181, 161, 185, 167, 186)(157, 189, 192, 180, 159, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E11.642
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 6^16, 8^12 ]

E11.635 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-4)^2, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-2 * T2 * T1^-1)^2, (T2 * T1)^6 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 64)(34, 65)(35, 67)(36, 68)(38, 70)(39, 69)(42, 62)(43, 66)(44, 63)(47, 73)(48, 74)(49, 75)(52, 78)(53, 79)(55, 80)(56, 81)(57, 82)(58, 83)(60, 84)(71, 87)(72, 89)(76, 92)(77, 93)(85, 95)(86, 94)(88, 90)(91, 96)(97, 98, 101, 107, 119, 118, 106, 100)(99, 103, 111, 127, 142, 134, 114, 104)(102, 109, 123, 149, 141, 156, 126, 110)(105, 115, 135, 144, 120, 143, 138, 116)(108, 121, 145, 140, 117, 139, 148, 122)(112, 129, 159, 182, 166, 173, 147, 130)(113, 131, 162, 181, 157, 172, 146, 132)(124, 151, 137, 168, 180, 187, 170, 152)(125, 153, 136, 167, 175, 186, 169, 154)(128, 158, 174, 150, 133, 165, 171, 155)(160, 176, 164, 179, 189, 192, 191, 183)(161, 184, 163, 177, 190, 178, 188, 185)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E11.637
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 96 f = 16
	degree seq :: [ 2^48, 8^12 ]

E11.636 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-4)^2, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T2 * T1^-1)^6 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 63)(34, 64)(35, 66)(36, 67)(38, 70)(39, 62)(42, 69)(43, 68)(44, 65)(47, 73)(48, 74)(49, 75)(52, 78)(53, 79)(55, 80)(56, 81)(57, 82)(58, 83)(60, 84)(71, 90)(72, 86)(76, 93)(77, 94)(85, 96)(87, 91)(88, 92)(89, 95)(97, 98, 101, 107, 119, 118, 106, 100)(99, 103, 111, 127, 142, 134, 114, 104)(102, 109, 123, 149, 141, 156, 126, 110)(105, 115, 135, 144, 120, 143, 138, 116)(108, 121, 145, 140, 117, 139, 148, 122)(112, 129, 147, 173, 166, 185, 161, 130)(113, 131, 146, 172, 157, 181, 164, 132)(124, 151, 170, 188, 180, 168, 137, 152)(125, 153, 169, 187, 175, 167, 136, 154)(128, 158, 174, 155, 133, 165, 171, 150)(159, 182, 189, 179, 191, 176, 163, 183)(160, 178, 192, 177, 190, 186, 162, 184)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E11.638
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 96 f = 16
	degree seq :: [ 2^48, 8^12 ]

E11.637 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, (T1 * T2^-1 * T1 * T2 * T1 * T2)^2, (T2 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1)^8 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 25, 121, 14, 110, 6, 102)(7, 103, 15, 111, 30, 126, 21, 117, 32, 128, 16, 112)(9, 105, 19, 115, 34, 130, 17, 113, 33, 129, 20, 116)(11, 107, 22, 118, 38, 134, 28, 124, 40, 136, 23, 119)(13, 109, 26, 122, 42, 138, 24, 120, 41, 137, 27, 123)(29, 125, 45, 141, 70, 166, 50, 146, 71, 167, 46, 142)(31, 127, 48, 144, 73, 169, 47, 143, 72, 168, 49, 145)(35, 131, 53, 149, 75, 171, 51, 147, 74, 170, 54, 150)(36, 132, 55, 151, 77, 173, 52, 148, 76, 172, 56, 152)(37, 133, 57, 153, 80, 176, 62, 158, 81, 177, 58, 154)(39, 135, 60, 156, 83, 179, 59, 155, 82, 178, 61, 157)(43, 139, 65, 161, 85, 181, 63, 159, 84, 180, 66, 162)(44, 140, 67, 163, 87, 183, 64, 160, 86, 182, 68, 164)(69, 165, 89, 185, 78, 174, 91, 187, 95, 191, 90, 186)(79, 175, 92, 188, 88, 184, 94, 190, 96, 192, 93, 189)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 120)(13, 102)(14, 124)(15, 125)(16, 127)(17, 104)(18, 121)(19, 131)(20, 132)(21, 106)(22, 133)(23, 135)(24, 108)(25, 114)(26, 139)(27, 140)(28, 110)(29, 111)(30, 143)(31, 112)(32, 146)(33, 147)(34, 148)(35, 115)(36, 116)(37, 118)(38, 155)(39, 119)(40, 158)(41, 159)(42, 160)(43, 122)(44, 123)(45, 165)(46, 157)(47, 126)(48, 162)(49, 154)(50, 128)(51, 129)(52, 130)(53, 163)(54, 156)(55, 161)(56, 174)(57, 175)(58, 145)(59, 134)(60, 150)(61, 142)(62, 136)(63, 137)(64, 138)(65, 151)(66, 144)(67, 149)(68, 184)(69, 141)(70, 179)(71, 187)(72, 181)(73, 176)(74, 182)(75, 178)(76, 180)(77, 186)(78, 152)(79, 153)(80, 169)(81, 190)(82, 171)(83, 166)(84, 172)(85, 168)(86, 170)(87, 189)(88, 164)(89, 188)(90, 173)(91, 167)(92, 185)(93, 183)(94, 177)(95, 192)(96, 191)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.635
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 60
	degree seq :: [ 12^16 ]

E11.638 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
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^-2 * T1 * T2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^3, T2^-3 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
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, 42, 138, 69, 165, 61, 157, 34, 130)(21, 117, 40, 136, 67, 163, 80, 176, 51, 147, 41, 137)(24, 120, 46, 142, 29, 125, 55, 151, 75, 171, 47, 143)(28, 124, 53, 149, 81, 177, 66, 162, 38, 134, 54, 150)(31, 127, 58, 154, 85, 181, 68, 164, 86, 182, 59, 155)(35, 131, 62, 158, 83, 179, 95, 191, 88, 184, 63, 159)(36, 132, 56, 152, 84, 180, 60, 156, 87, 183, 64, 160)(44, 140, 72, 168, 91, 187, 82, 178, 92, 188, 73, 169)(48, 144, 76, 172, 89, 185, 96, 192, 94, 190, 77, 173)(49, 145, 70, 166, 90, 186, 74, 170, 93, 189, 78, 174)
	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, 152)(31, 112)(32, 146)(33, 156)(34, 149)(35, 114)(36, 115)(37, 141)(38, 116)(39, 155)(40, 143)(41, 164)(42, 118)(43, 166)(44, 119)(45, 133)(46, 170)(47, 136)(48, 121)(49, 122)(50, 128)(51, 123)(52, 169)(53, 130)(54, 178)(55, 179)(56, 126)(57, 172)(58, 168)(59, 135)(60, 129)(61, 181)(62, 167)(63, 175)(64, 174)(65, 173)(66, 184)(67, 183)(68, 137)(69, 185)(70, 139)(71, 158)(72, 154)(73, 148)(74, 142)(75, 187)(76, 153)(77, 161)(78, 160)(79, 159)(80, 190)(81, 189)(82, 150)(83, 151)(84, 188)(85, 157)(86, 186)(87, 163)(88, 162)(89, 165)(90, 182)(91, 171)(92, 180)(93, 177)(94, 176)(95, 192)(96, 191)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.636
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 60
	degree seq :: [ 12^16 ]

E11.639 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T1 * T2^-1 * T1)^2, T1^6, (T1^-1 * T2^3)^2, T2^8, T2 * T1 * T2^-1 * T1 * T2^2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-2 * T1 * T2 * T1^-1 * T2^-3 * T1^-1 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 26, 122, 56, 152, 35, 131, 15, 111, 5, 101)(2, 98, 7, 103, 19, 115, 42, 138, 77, 173, 48, 144, 22, 118, 8, 104)(4, 100, 12, 108, 30, 126, 60, 156, 86, 182, 52, 148, 24, 120, 9, 105)(6, 102, 17, 113, 38, 134, 69, 165, 92, 188, 73, 169, 40, 136, 18, 114)(11, 107, 28, 124, 58, 154, 34, 130, 65, 161, 70, 166, 54, 150, 25, 121)(13, 109, 31, 127, 62, 158, 85, 181, 95, 191, 87, 183, 59, 155, 29, 125)(14, 110, 32, 128, 63, 159, 81, 177, 55, 151, 27, 123, 57, 153, 33, 129)(16, 112, 36, 132, 66, 162, 89, 185, 96, 192, 90, 186, 67, 163, 37, 133)(20, 116, 44, 140, 79, 175, 47, 143, 82, 178, 53, 149, 75, 171, 41, 137)(21, 117, 45, 141, 80, 176, 51, 147, 76, 172, 43, 139, 78, 174, 46, 142)(23, 119, 49, 145, 83, 179, 64, 160, 88, 184, 61, 157, 84, 180, 50, 146)(39, 135, 71, 167, 93, 189, 72, 168, 94, 190, 74, 170, 91, 187, 68, 164)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 101)(8, 117)(9, 119)(10, 121)(11, 99)(12, 125)(13, 100)(14, 127)(15, 130)(16, 109)(17, 104)(18, 107)(19, 137)(20, 103)(21, 108)(22, 143)(23, 132)(24, 147)(25, 149)(26, 151)(27, 106)(28, 136)(29, 135)(30, 142)(31, 133)(32, 111)(33, 139)(34, 140)(35, 156)(36, 114)(37, 116)(38, 164)(39, 113)(40, 168)(41, 170)(42, 172)(43, 115)(44, 163)(45, 118)(46, 166)(47, 167)(48, 122)(49, 120)(50, 123)(51, 124)(52, 181)(53, 162)(54, 174)(55, 183)(56, 173)(57, 180)(58, 176)(59, 177)(60, 184)(61, 126)(62, 129)(63, 179)(64, 128)(65, 131)(66, 146)(67, 160)(68, 157)(69, 161)(70, 134)(71, 155)(72, 145)(73, 138)(74, 158)(75, 150)(76, 148)(77, 188)(78, 153)(79, 154)(80, 159)(81, 141)(82, 144)(83, 189)(84, 187)(85, 190)(86, 152)(87, 185)(88, 186)(89, 178)(90, 165)(91, 171)(92, 192)(93, 175)(94, 169)(95, 182)(96, 191)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.631
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 96 f = 64
	degree seq :: [ 16^12 ]

E11.640 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, T1^6, T1^-2 * T2 * T1^-1 * T2 * T1 * T2^-2, T1^-1 * T2^-2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2^3 * T1^-1)^2, T2^8 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 26, 122, 60, 156, 38, 134, 15, 111, 5, 101)(2, 98, 7, 103, 19, 115, 46, 142, 85, 181, 54, 150, 22, 118, 8, 104)(4, 100, 12, 108, 31, 127, 68, 164, 90, 186, 50, 146, 24, 120, 9, 105)(6, 102, 17, 113, 41, 137, 29, 125, 65, 161, 83, 179, 44, 140, 18, 114)(11, 107, 28, 124, 63, 159, 37, 133, 43, 139, 81, 177, 58, 154, 25, 121)(13, 109, 33, 129, 70, 166, 80, 176, 71, 167, 34, 130, 67, 163, 30, 126)(14, 110, 35, 131, 72, 168, 87, 183, 59, 155, 27, 123, 61, 157, 36, 132)(16, 112, 39, 135, 74, 170, 49, 145, 89, 185, 55, 151, 77, 173, 40, 136)(20, 116, 48, 144, 88, 184, 53, 149, 76, 172, 73, 169, 84, 180, 45, 141)(21, 117, 51, 147, 91, 187, 64, 160, 32, 128, 47, 143, 86, 182, 52, 148)(23, 119, 56, 152, 93, 189, 62, 158, 75, 171, 69, 165, 94, 190, 57, 153)(42, 138, 79, 175, 96, 192, 82, 178, 66, 162, 92, 188, 95, 191, 78, 174)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 101)(8, 117)(9, 119)(10, 121)(11, 99)(12, 126)(13, 100)(14, 130)(15, 133)(16, 109)(17, 104)(18, 139)(19, 141)(20, 103)(21, 146)(22, 149)(23, 151)(24, 148)(25, 144)(26, 155)(27, 106)(28, 137)(29, 107)(30, 162)(31, 160)(32, 108)(33, 136)(34, 145)(35, 111)(36, 147)(37, 169)(38, 164)(39, 114)(40, 172)(41, 174)(42, 113)(43, 134)(44, 178)(45, 175)(46, 128)(47, 115)(48, 170)(49, 116)(50, 176)(51, 118)(52, 177)(53, 188)(54, 122)(55, 125)(56, 120)(57, 131)(58, 182)(59, 129)(60, 181)(61, 189)(62, 123)(63, 187)(64, 124)(65, 185)(66, 179)(67, 132)(68, 171)(69, 127)(70, 183)(71, 186)(72, 190)(73, 173)(74, 158)(75, 135)(76, 150)(77, 153)(78, 165)(79, 166)(80, 138)(81, 140)(82, 152)(83, 142)(84, 159)(85, 161)(86, 168)(87, 143)(88, 154)(89, 167)(90, 156)(91, 157)(92, 163)(93, 192)(94, 191)(95, 184)(96, 180)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.632
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 96 f = 64
	degree seq :: [ 16^12 ]

E11.641 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-4)^2, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-2 * T2 * T1^-1)^2, (T2 * T1)^6 ]
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, 37, 133)(19, 115, 40, 136)(20, 116, 41, 137)(22, 118, 45, 141)(23, 119, 46, 142)(25, 121, 50, 146)(26, 122, 51, 147)(27, 123, 54, 150)(30, 126, 59, 155)(31, 127, 61, 157)(33, 129, 64, 160)(34, 130, 65, 161)(35, 131, 67, 163)(36, 132, 68, 164)(38, 134, 70, 166)(39, 135, 69, 165)(42, 138, 62, 158)(43, 139, 66, 162)(44, 140, 63, 159)(47, 143, 73, 169)(48, 144, 74, 170)(49, 145, 75, 171)(52, 148, 78, 174)(53, 149, 79, 175)(55, 151, 80, 176)(56, 152, 81, 177)(57, 153, 82, 178)(58, 154, 83, 179)(60, 156, 84, 180)(71, 167, 87, 183)(72, 168, 89, 185)(76, 172, 92, 188)(77, 173, 93, 189)(85, 181, 95, 191)(86, 182, 94, 190)(88, 184, 90, 186)(91, 187, 96, 192)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 115)(10, 100)(11, 119)(12, 121)(13, 123)(14, 102)(15, 127)(16, 129)(17, 131)(18, 104)(19, 135)(20, 105)(21, 139)(22, 106)(23, 118)(24, 143)(25, 145)(26, 108)(27, 149)(28, 151)(29, 153)(30, 110)(31, 142)(32, 158)(33, 159)(34, 112)(35, 162)(36, 113)(37, 165)(38, 114)(39, 144)(40, 167)(41, 168)(42, 116)(43, 148)(44, 117)(45, 156)(46, 134)(47, 138)(48, 120)(49, 140)(50, 132)(51, 130)(52, 122)(53, 141)(54, 133)(55, 137)(56, 124)(57, 136)(58, 125)(59, 128)(60, 126)(61, 172)(62, 174)(63, 182)(64, 176)(65, 184)(66, 181)(67, 177)(68, 179)(69, 171)(70, 173)(71, 175)(72, 180)(73, 154)(74, 152)(75, 155)(76, 146)(77, 147)(78, 150)(79, 186)(80, 164)(81, 190)(82, 188)(83, 189)(84, 187)(85, 157)(86, 166)(87, 160)(88, 163)(89, 161)(90, 169)(91, 170)(92, 185)(93, 192)(94, 178)(95, 183)(96, 191)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.633
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.642 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-4)^2, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T2 * T1^-1)^6 ]
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, 37, 133)(19, 115, 40, 136)(20, 116, 41, 137)(22, 118, 45, 141)(23, 119, 46, 142)(25, 121, 50, 146)(26, 122, 51, 147)(27, 123, 54, 150)(30, 126, 59, 155)(31, 127, 61, 157)(33, 129, 63, 159)(34, 130, 64, 160)(35, 131, 66, 162)(36, 132, 67, 163)(38, 134, 70, 166)(39, 135, 62, 158)(42, 138, 69, 165)(43, 139, 68, 164)(44, 140, 65, 161)(47, 143, 73, 169)(48, 144, 74, 170)(49, 145, 75, 171)(52, 148, 78, 174)(53, 149, 79, 175)(55, 151, 80, 176)(56, 152, 81, 177)(57, 153, 82, 178)(58, 154, 83, 179)(60, 156, 84, 180)(71, 167, 90, 186)(72, 168, 86, 182)(76, 172, 93, 189)(77, 173, 94, 190)(85, 181, 96, 192)(87, 183, 91, 187)(88, 184, 92, 188)(89, 185, 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, 135)(20, 105)(21, 139)(22, 106)(23, 118)(24, 143)(25, 145)(26, 108)(27, 149)(28, 151)(29, 153)(30, 110)(31, 142)(32, 158)(33, 147)(34, 112)(35, 146)(36, 113)(37, 165)(38, 114)(39, 144)(40, 154)(41, 152)(42, 116)(43, 148)(44, 117)(45, 156)(46, 134)(47, 138)(48, 120)(49, 140)(50, 172)(51, 173)(52, 122)(53, 141)(54, 128)(55, 170)(56, 124)(57, 169)(58, 125)(59, 133)(60, 126)(61, 181)(62, 174)(63, 182)(64, 178)(65, 130)(66, 184)(67, 183)(68, 132)(69, 171)(70, 185)(71, 136)(72, 137)(73, 187)(74, 188)(75, 150)(76, 157)(77, 166)(78, 155)(79, 167)(80, 163)(81, 190)(82, 192)(83, 191)(84, 168)(85, 164)(86, 189)(87, 159)(88, 160)(89, 161)(90, 162)(91, 175)(92, 180)(93, 179)(94, 186)(95, 176)(96, 177)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.634
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-1 * Y1 * Y2^-2)^2, (Y2^-1 * R * Y2^-2)^2, (Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2)^2, (Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 24, 120)(14, 110, 28, 124)(15, 111, 29, 125)(16, 112, 31, 127)(18, 114, 25, 121)(19, 115, 35, 131)(20, 116, 36, 132)(22, 118, 37, 133)(23, 119, 39, 135)(26, 122, 43, 139)(27, 123, 44, 140)(30, 126, 47, 143)(32, 128, 50, 146)(33, 129, 51, 147)(34, 130, 52, 148)(38, 134, 59, 155)(40, 136, 62, 158)(41, 137, 63, 159)(42, 138, 64, 160)(45, 141, 69, 165)(46, 142, 61, 157)(48, 144, 66, 162)(49, 145, 58, 154)(53, 149, 67, 163)(54, 150, 60, 156)(55, 151, 65, 161)(56, 152, 78, 174)(57, 153, 79, 175)(68, 164, 88, 184)(70, 166, 83, 179)(71, 167, 91, 187)(72, 168, 85, 181)(73, 169, 80, 176)(74, 170, 86, 182)(75, 171, 82, 178)(76, 172, 84, 180)(77, 173, 90, 186)(81, 177, 94, 190)(87, 183, 93, 189)(89, 185, 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, 213, 309, 224, 320, 208, 304)(201, 297, 211, 307, 226, 322, 209, 305, 225, 321, 212, 308)(203, 299, 214, 310, 230, 326, 220, 316, 232, 328, 215, 311)(205, 301, 218, 314, 234, 330, 216, 312, 233, 329, 219, 315)(221, 317, 237, 333, 262, 358, 242, 338, 263, 359, 238, 334)(223, 319, 240, 336, 265, 361, 239, 335, 264, 360, 241, 337)(227, 323, 245, 341, 267, 363, 243, 339, 266, 362, 246, 342)(228, 324, 247, 343, 269, 365, 244, 340, 268, 364, 248, 344)(229, 325, 249, 345, 272, 368, 254, 350, 273, 369, 250, 346)(231, 327, 252, 348, 275, 371, 251, 347, 274, 370, 253, 349)(235, 331, 257, 353, 277, 373, 255, 351, 276, 372, 258, 354)(236, 332, 259, 355, 279, 375, 256, 352, 278, 374, 260, 356)(261, 357, 281, 377, 270, 366, 283, 379, 287, 383, 282, 378)(271, 367, 284, 380, 280, 376, 286, 382, 288, 384, 285, 381)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 217)(19, 227)(20, 228)(21, 202)(22, 229)(23, 231)(24, 204)(25, 210)(26, 235)(27, 236)(28, 206)(29, 207)(30, 239)(31, 208)(32, 242)(33, 243)(34, 244)(35, 211)(36, 212)(37, 214)(38, 251)(39, 215)(40, 254)(41, 255)(42, 256)(43, 218)(44, 219)(45, 261)(46, 253)(47, 222)(48, 258)(49, 250)(50, 224)(51, 225)(52, 226)(53, 259)(54, 252)(55, 257)(56, 270)(57, 271)(58, 241)(59, 230)(60, 246)(61, 238)(62, 232)(63, 233)(64, 234)(65, 247)(66, 240)(67, 245)(68, 280)(69, 237)(70, 275)(71, 283)(72, 277)(73, 272)(74, 278)(75, 274)(76, 276)(77, 282)(78, 248)(79, 249)(80, 265)(81, 286)(82, 267)(83, 262)(84, 268)(85, 264)(86, 266)(87, 285)(88, 260)(89, 284)(90, 269)(91, 263)(92, 281)(93, 279)(94, 273)(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, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.649
Graph:: bipartite
	v = 64 e = 192 f = 108
	degree seq :: [ 4^48, 12^16 ]

E11.644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
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, (R * Y2^2 * Y1)^2, Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^8 ]
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, 56, 152)(32, 128, 50, 146)(33, 129, 60, 156)(34, 130, 53, 149)(37, 133, 45, 141)(39, 135, 59, 155)(40, 136, 47, 143)(41, 137, 68, 164)(43, 139, 70, 166)(46, 142, 74, 170)(52, 148, 73, 169)(54, 150, 82, 178)(55, 151, 83, 179)(57, 153, 76, 172)(58, 154, 72, 168)(61, 157, 85, 181)(62, 158, 71, 167)(63, 159, 79, 175)(64, 160, 78, 174)(65, 161, 77, 173)(66, 162, 88, 184)(67, 163, 87, 183)(69, 165, 89, 185)(75, 171, 91, 187)(80, 176, 94, 190)(81, 177, 93, 189)(84, 180, 92, 188)(86, 182, 90, 186)(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, 234, 330, 261, 357, 253, 349, 226, 322)(213, 309, 232, 328, 259, 355, 272, 368, 243, 339, 233, 329)(216, 312, 238, 334, 221, 317, 247, 343, 267, 363, 239, 335)(220, 316, 245, 341, 273, 369, 258, 354, 230, 326, 246, 342)(223, 319, 250, 346, 277, 373, 260, 356, 278, 374, 251, 347)(227, 323, 254, 350, 275, 371, 287, 383, 280, 376, 255, 351)(228, 324, 248, 344, 276, 372, 252, 348, 279, 375, 256, 352)(236, 332, 264, 360, 283, 379, 274, 370, 284, 380, 265, 361)(240, 336, 268, 364, 281, 377, 288, 384, 286, 382, 269, 365)(241, 337, 262, 358, 282, 378, 266, 362, 285, 381, 270, 366)
	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, 248)(31, 208)(32, 242)(33, 252)(34, 245)(35, 210)(36, 211)(37, 237)(38, 212)(39, 251)(40, 239)(41, 260)(42, 214)(43, 262)(44, 215)(45, 229)(46, 266)(47, 232)(48, 217)(49, 218)(50, 224)(51, 219)(52, 265)(53, 226)(54, 274)(55, 275)(56, 222)(57, 268)(58, 264)(59, 231)(60, 225)(61, 277)(62, 263)(63, 271)(64, 270)(65, 269)(66, 280)(67, 279)(68, 233)(69, 281)(70, 235)(71, 254)(72, 250)(73, 244)(74, 238)(75, 283)(76, 249)(77, 257)(78, 256)(79, 255)(80, 286)(81, 285)(82, 246)(83, 247)(84, 284)(85, 253)(86, 282)(87, 259)(88, 258)(89, 261)(90, 278)(91, 267)(92, 276)(93, 273)(94, 272)(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, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.650
Graph:: bipartite
	v = 64 e = 192 f = 108
	degree seq :: [ 4^48, 12^16 ]

E11.645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y1^6, (Y1 * Y2^-1 * Y1)^2, (Y2^3 * Y1^-1)^2, Y2^8, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1^-1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2^-3 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 13, 109, 4, 100)(3, 99, 9, 105, 23, 119, 36, 132, 18, 114, 11, 107)(5, 101, 14, 110, 31, 127, 37, 133, 20, 116, 7, 103)(8, 104, 21, 117, 12, 108, 29, 125, 39, 135, 17, 113)(10, 106, 25, 121, 53, 149, 66, 162, 50, 146, 27, 123)(15, 111, 34, 130, 44, 140, 67, 163, 64, 160, 32, 128)(19, 115, 41, 137, 74, 170, 62, 158, 33, 129, 43, 139)(22, 118, 47, 143, 71, 167, 59, 155, 81, 177, 45, 141)(24, 120, 51, 147, 28, 124, 40, 136, 72, 168, 49, 145)(26, 122, 55, 151, 87, 183, 89, 185, 82, 178, 48, 144)(30, 126, 46, 142, 70, 166, 38, 134, 68, 164, 61, 157)(35, 131, 60, 156, 88, 184, 90, 186, 69, 165, 65, 161)(42, 138, 76, 172, 52, 148, 85, 181, 94, 190, 73, 169)(54, 150, 78, 174, 57, 153, 84, 180, 91, 187, 75, 171)(56, 152, 77, 173, 92, 188, 96, 192, 95, 191, 86, 182)(58, 154, 80, 176, 63, 159, 83, 179, 93, 189, 79, 175)(193, 289, 195, 291, 202, 298, 218, 314, 248, 344, 227, 323, 207, 303, 197, 293)(194, 290, 199, 295, 211, 307, 234, 330, 269, 365, 240, 336, 214, 310, 200, 296)(196, 292, 204, 300, 222, 318, 252, 348, 278, 374, 244, 340, 216, 312, 201, 297)(198, 294, 209, 305, 230, 326, 261, 357, 284, 380, 265, 361, 232, 328, 210, 306)(203, 299, 220, 316, 250, 346, 226, 322, 257, 353, 262, 358, 246, 342, 217, 313)(205, 301, 223, 319, 254, 350, 277, 373, 287, 383, 279, 375, 251, 347, 221, 317)(206, 302, 224, 320, 255, 351, 273, 369, 247, 343, 219, 315, 249, 345, 225, 321)(208, 304, 228, 324, 258, 354, 281, 377, 288, 384, 282, 378, 259, 355, 229, 325)(212, 308, 236, 332, 271, 367, 239, 335, 274, 370, 245, 341, 267, 363, 233, 329)(213, 309, 237, 333, 272, 368, 243, 339, 268, 364, 235, 331, 270, 366, 238, 334)(215, 311, 241, 337, 275, 371, 256, 352, 280, 376, 253, 349, 276, 372, 242, 338)(231, 327, 263, 359, 285, 381, 264, 360, 286, 382, 266, 362, 283, 379, 260, 356)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 218)(11, 220)(12, 222)(13, 223)(14, 224)(15, 197)(16, 228)(17, 230)(18, 198)(19, 234)(20, 236)(21, 237)(22, 200)(23, 241)(24, 201)(25, 203)(26, 248)(27, 249)(28, 250)(29, 205)(30, 252)(31, 254)(32, 255)(33, 206)(34, 257)(35, 207)(36, 258)(37, 208)(38, 261)(39, 263)(40, 210)(41, 212)(42, 269)(43, 270)(44, 271)(45, 272)(46, 213)(47, 274)(48, 214)(49, 275)(50, 215)(51, 268)(52, 216)(53, 267)(54, 217)(55, 219)(56, 227)(57, 225)(58, 226)(59, 221)(60, 278)(61, 276)(62, 277)(63, 273)(64, 280)(65, 262)(66, 281)(67, 229)(68, 231)(69, 284)(70, 246)(71, 285)(72, 286)(73, 232)(74, 283)(75, 233)(76, 235)(77, 240)(78, 238)(79, 239)(80, 243)(81, 247)(82, 245)(83, 256)(84, 242)(85, 287)(86, 244)(87, 251)(88, 253)(89, 288)(90, 259)(91, 260)(92, 265)(93, 264)(94, 266)(95, 279)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 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 E11.647
Graph:: bipartite
	v = 28 e = 192 f = 144
	degree seq :: [ 12^16, 16^12 ]

E11.646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^6, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-2, Y1^-1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2^3 * Y1^-1)^2, Y2^8 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 13, 109, 4, 100)(3, 99, 9, 105, 23, 119, 55, 151, 29, 125, 11, 107)(5, 101, 14, 110, 34, 130, 49, 145, 20, 116, 7, 103)(8, 104, 21, 117, 50, 146, 80, 176, 42, 138, 17, 113)(10, 106, 25, 121, 48, 144, 74, 170, 62, 158, 27, 123)(12, 108, 30, 126, 66, 162, 83, 179, 46, 142, 32, 128)(15, 111, 37, 133, 73, 169, 77, 173, 57, 153, 35, 131)(18, 114, 43, 139, 38, 134, 68, 164, 75, 171, 39, 135)(19, 115, 45, 141, 79, 175, 70, 166, 87, 183, 47, 143)(22, 118, 53, 149, 92, 188, 67, 163, 36, 132, 51, 147)(24, 120, 52, 148, 81, 177, 44, 140, 82, 178, 56, 152)(26, 122, 59, 155, 33, 129, 40, 136, 76, 172, 54, 150)(28, 124, 41, 137, 78, 174, 69, 165, 31, 127, 64, 160)(58, 154, 86, 182, 72, 168, 94, 190, 95, 191, 88, 184)(60, 156, 85, 181, 65, 161, 89, 185, 71, 167, 90, 186)(61, 157, 93, 189, 96, 192, 84, 180, 63, 159, 91, 187)(193, 289, 195, 291, 202, 298, 218, 314, 252, 348, 230, 326, 207, 303, 197, 293)(194, 290, 199, 295, 211, 307, 238, 334, 277, 373, 246, 342, 214, 310, 200, 296)(196, 292, 204, 300, 223, 319, 260, 356, 282, 378, 242, 338, 216, 312, 201, 297)(198, 294, 209, 305, 233, 329, 221, 317, 257, 353, 275, 371, 236, 332, 210, 306)(203, 299, 220, 316, 255, 351, 229, 325, 235, 331, 273, 369, 250, 346, 217, 313)(205, 301, 225, 321, 262, 358, 272, 368, 263, 359, 226, 322, 259, 355, 222, 318)(206, 302, 227, 323, 264, 360, 279, 375, 251, 347, 219, 315, 253, 349, 228, 324)(208, 304, 231, 327, 266, 362, 241, 337, 281, 377, 247, 343, 269, 365, 232, 328)(212, 308, 240, 336, 280, 376, 245, 341, 268, 364, 265, 361, 276, 372, 237, 333)(213, 309, 243, 339, 283, 379, 256, 352, 224, 320, 239, 335, 278, 374, 244, 340)(215, 311, 248, 344, 285, 381, 254, 350, 267, 363, 261, 357, 286, 382, 249, 345)(234, 330, 271, 367, 288, 384, 274, 370, 258, 354, 284, 380, 287, 383, 270, 366)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 218)(11, 220)(12, 223)(13, 225)(14, 227)(15, 197)(16, 231)(17, 233)(18, 198)(19, 238)(20, 240)(21, 243)(22, 200)(23, 248)(24, 201)(25, 203)(26, 252)(27, 253)(28, 255)(29, 257)(30, 205)(31, 260)(32, 239)(33, 262)(34, 259)(35, 264)(36, 206)(37, 235)(38, 207)(39, 266)(40, 208)(41, 221)(42, 271)(43, 273)(44, 210)(45, 212)(46, 277)(47, 278)(48, 280)(49, 281)(50, 216)(51, 283)(52, 213)(53, 268)(54, 214)(55, 269)(56, 285)(57, 215)(58, 217)(59, 219)(60, 230)(61, 228)(62, 267)(63, 229)(64, 224)(65, 275)(66, 284)(67, 222)(68, 282)(69, 286)(70, 272)(71, 226)(72, 279)(73, 276)(74, 241)(75, 261)(76, 265)(77, 232)(78, 234)(79, 288)(80, 263)(81, 250)(82, 258)(83, 236)(84, 237)(85, 246)(86, 244)(87, 251)(88, 245)(89, 247)(90, 242)(91, 256)(92, 287)(93, 254)(94, 249)(95, 270)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 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 E11.648
Graph:: bipartite
	v = 28 e = 192 f = 144
	degree seq :: [ 12^16, 16^12 ]

E11.647 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^4 * Y2 * Y3^-3, (Y3^-1 * Y2 * Y3 * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 217, 313)(206, 302, 221, 317)(207, 303, 223, 319)(208, 304, 225, 321)(210, 306, 229, 325)(211, 307, 231, 327)(212, 308, 233, 329)(214, 310, 237, 333)(215, 311, 238, 334)(216, 312, 240, 336)(218, 314, 244, 340)(219, 315, 246, 342)(220, 316, 248, 344)(222, 318, 252, 348)(224, 320, 251, 347)(226, 322, 243, 339)(227, 323, 249, 345)(228, 324, 241, 337)(230, 326, 245, 341)(232, 328, 250, 346)(234, 330, 242, 338)(235, 331, 247, 343)(236, 332, 239, 335)(253, 349, 265, 361)(254, 350, 275, 371)(255, 351, 278, 374)(256, 352, 279, 375)(257, 353, 276, 372)(258, 354, 281, 377)(259, 355, 272, 368)(260, 356, 271, 367)(261, 357, 280, 376)(262, 358, 277, 373)(263, 359, 266, 362)(264, 360, 269, 365)(267, 363, 283, 379)(268, 364, 284, 380)(270, 366, 286, 382)(273, 369, 285, 381)(274, 370, 282, 378)(287, 383, 288, 384)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 215)(12, 218)(13, 219)(14, 198)(15, 224)(16, 199)(17, 227)(18, 230)(19, 232)(20, 201)(21, 235)(22, 202)(23, 239)(24, 203)(25, 242)(26, 245)(27, 247)(28, 205)(29, 250)(30, 206)(31, 253)(32, 255)(33, 256)(34, 208)(35, 259)(36, 209)(37, 261)(38, 214)(39, 263)(40, 262)(41, 264)(42, 212)(43, 260)(44, 213)(45, 258)(46, 265)(47, 267)(48, 268)(49, 216)(50, 271)(51, 217)(52, 273)(53, 222)(54, 275)(55, 274)(56, 276)(57, 220)(58, 272)(59, 221)(60, 270)(61, 233)(62, 223)(63, 237)(64, 231)(65, 225)(66, 226)(67, 236)(68, 228)(69, 234)(70, 229)(71, 278)(72, 281)(73, 248)(74, 238)(75, 252)(76, 246)(77, 240)(78, 241)(79, 251)(80, 243)(81, 249)(82, 244)(83, 283)(84, 286)(85, 254)(86, 284)(87, 285)(88, 257)(89, 287)(90, 266)(91, 279)(92, 280)(93, 269)(94, 288)(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) :: { ( 12, 16 ), ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.645
Graph:: simple bipartite
	v = 144 e = 192 f = 28
	degree seq :: [ 2^96, 4^48 ]

E11.648 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^4 * Y2 * Y3^-3, (Y3 * Y2 * Y3^-1 * Y2)^3, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 217, 313)(206, 302, 221, 317)(207, 303, 223, 319)(208, 304, 225, 321)(210, 306, 229, 325)(211, 307, 231, 327)(212, 308, 233, 329)(214, 310, 237, 333)(215, 311, 238, 334)(216, 312, 240, 336)(218, 314, 244, 340)(219, 315, 246, 342)(220, 316, 248, 344)(222, 318, 252, 348)(224, 320, 243, 339)(226, 322, 251, 347)(227, 323, 247, 343)(228, 324, 239, 335)(230, 326, 245, 341)(232, 328, 242, 338)(234, 330, 250, 346)(235, 331, 249, 345)(236, 332, 241, 337)(253, 349, 276, 372)(254, 350, 278, 374)(255, 351, 279, 375)(256, 352, 268, 364)(257, 353, 281, 377)(258, 354, 282, 378)(259, 355, 272, 368)(260, 356, 271, 367)(261, 357, 280, 376)(262, 358, 277, 373)(263, 359, 275, 371)(264, 360, 265, 361)(266, 362, 284, 380)(267, 363, 285, 381)(269, 365, 287, 383)(270, 366, 288, 384)(273, 369, 286, 382)(274, 370, 283, 379)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 215)(12, 218)(13, 219)(14, 198)(15, 224)(16, 199)(17, 227)(18, 230)(19, 232)(20, 201)(21, 235)(22, 202)(23, 239)(24, 203)(25, 242)(26, 245)(27, 247)(28, 205)(29, 250)(30, 206)(31, 253)(32, 255)(33, 256)(34, 208)(35, 259)(36, 209)(37, 261)(38, 214)(39, 257)(40, 262)(41, 254)(42, 212)(43, 260)(44, 213)(45, 258)(46, 265)(47, 267)(48, 268)(49, 216)(50, 271)(51, 217)(52, 273)(53, 222)(54, 269)(55, 274)(56, 266)(57, 220)(58, 272)(59, 221)(60, 270)(61, 277)(62, 223)(63, 237)(64, 280)(65, 225)(66, 226)(67, 236)(68, 228)(69, 234)(70, 229)(71, 231)(72, 233)(73, 283)(74, 238)(75, 252)(76, 286)(77, 240)(78, 241)(79, 251)(80, 243)(81, 249)(82, 244)(83, 246)(84, 248)(85, 287)(86, 285)(87, 263)(88, 284)(89, 288)(90, 264)(91, 281)(92, 279)(93, 275)(94, 278)(95, 282)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.646
Graph:: simple bipartite
	v = 144 e = 192 f = 28
	degree seq :: [ 2^96, 4^48 ]

E11.649 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y1^8, (Y3 * Y1^-1 * Y3^-1 * Y1^-2)^2, Y3 * Y1^-4 * Y3^-1 * Y1^-4, Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 46, 142, 38, 134, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 53, 149, 45, 141, 60, 156, 30, 126, 14, 110)(9, 105, 19, 115, 39, 135, 48, 144, 24, 120, 47, 143, 42, 138, 20, 116)(12, 108, 25, 121, 49, 145, 44, 140, 21, 117, 43, 139, 52, 148, 26, 122)(16, 112, 33, 129, 63, 159, 86, 182, 70, 166, 77, 173, 51, 147, 34, 130)(17, 113, 35, 131, 66, 162, 85, 181, 61, 157, 76, 172, 50, 146, 36, 132)(28, 124, 55, 151, 41, 137, 72, 168, 84, 180, 91, 187, 74, 170, 56, 152)(29, 125, 57, 153, 40, 136, 71, 167, 79, 175, 90, 186, 73, 169, 58, 154)(32, 128, 62, 158, 78, 174, 54, 150, 37, 133, 69, 165, 75, 171, 59, 155)(64, 160, 80, 176, 68, 164, 83, 179, 93, 189, 96, 192, 95, 191, 87, 183)(65, 161, 88, 184, 67, 163, 81, 177, 94, 190, 82, 178, 92, 188, 89, 185)(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, 229)(19, 232)(20, 233)(21, 202)(22, 237)(23, 238)(24, 203)(25, 242)(26, 243)(27, 246)(28, 205)(29, 206)(30, 251)(31, 253)(32, 207)(33, 256)(34, 257)(35, 259)(36, 260)(37, 210)(38, 262)(39, 261)(40, 211)(41, 212)(42, 254)(43, 258)(44, 255)(45, 214)(46, 215)(47, 265)(48, 266)(49, 267)(50, 217)(51, 218)(52, 270)(53, 271)(54, 219)(55, 272)(56, 273)(57, 274)(58, 275)(59, 222)(60, 276)(61, 223)(62, 234)(63, 236)(64, 225)(65, 226)(66, 235)(67, 227)(68, 228)(69, 231)(70, 230)(71, 279)(72, 281)(73, 239)(74, 240)(75, 241)(76, 284)(77, 285)(78, 244)(79, 245)(80, 247)(81, 248)(82, 249)(83, 250)(84, 252)(85, 287)(86, 286)(87, 263)(88, 282)(89, 264)(90, 280)(91, 288)(92, 268)(93, 269)(94, 278)(95, 277)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.643
Graph:: simple bipartite
	v = 108 e = 192 f = 64
	degree seq :: [ 2^96, 16^12 ]

E11.650 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|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 * Y1^-4 * Y3^-1 * Y1^-4, Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 46, 142, 38, 134, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 53, 149, 45, 141, 60, 156, 30, 126, 14, 110)(9, 105, 19, 115, 39, 135, 48, 144, 24, 120, 47, 143, 42, 138, 20, 116)(12, 108, 25, 121, 49, 145, 44, 140, 21, 117, 43, 139, 52, 148, 26, 122)(16, 112, 33, 129, 51, 147, 77, 173, 70, 166, 89, 185, 65, 161, 34, 130)(17, 113, 35, 131, 50, 146, 76, 172, 61, 157, 85, 181, 68, 164, 36, 132)(28, 124, 55, 151, 74, 170, 92, 188, 84, 180, 72, 168, 41, 137, 56, 152)(29, 125, 57, 153, 73, 169, 91, 187, 79, 175, 71, 167, 40, 136, 58, 154)(32, 128, 62, 158, 78, 174, 59, 155, 37, 133, 69, 165, 75, 171, 54, 150)(63, 159, 86, 182, 93, 189, 83, 179, 95, 191, 80, 176, 67, 163, 87, 183)(64, 160, 82, 178, 96, 192, 81, 177, 94, 190, 90, 186, 66, 162, 88, 184)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 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, 229)(19, 232)(20, 233)(21, 202)(22, 237)(23, 238)(24, 203)(25, 242)(26, 243)(27, 246)(28, 205)(29, 206)(30, 251)(31, 253)(32, 207)(33, 255)(34, 256)(35, 258)(36, 259)(37, 210)(38, 262)(39, 254)(40, 211)(41, 212)(42, 261)(43, 260)(44, 257)(45, 214)(46, 215)(47, 265)(48, 266)(49, 267)(50, 217)(51, 218)(52, 270)(53, 271)(54, 219)(55, 272)(56, 273)(57, 274)(58, 275)(59, 222)(60, 276)(61, 223)(62, 231)(63, 225)(64, 226)(65, 236)(66, 227)(67, 228)(68, 235)(69, 234)(70, 230)(71, 282)(72, 278)(73, 239)(74, 240)(75, 241)(76, 285)(77, 286)(78, 244)(79, 245)(80, 247)(81, 248)(82, 249)(83, 250)(84, 252)(85, 288)(86, 264)(87, 283)(88, 284)(89, 287)(90, 263)(91, 279)(92, 280)(93, 268)(94, 269)(95, 281)(96, 277)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.644
Graph:: simple bipartite
	v = 108 e = 192 f = 64
	degree seq :: [ 2^96, 16^12 ]

E11.651 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y2^-2 * Y1 * Y2^-2)^2, (Y2^-1 * R * Y2^-3)^2, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-1)^2, (Y2^2 * Y1 * Y2 * Y1)^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, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 33, 129)(18, 114, 37, 133)(19, 115, 39, 135)(20, 116, 41, 137)(22, 118, 45, 141)(23, 119, 46, 142)(24, 120, 48, 144)(26, 122, 52, 148)(27, 123, 54, 150)(28, 124, 56, 152)(30, 126, 60, 156)(32, 128, 59, 155)(34, 130, 51, 147)(35, 131, 57, 153)(36, 132, 49, 145)(38, 134, 53, 149)(40, 136, 58, 154)(42, 138, 50, 146)(43, 139, 55, 151)(44, 140, 47, 143)(61, 157, 73, 169)(62, 158, 83, 179)(63, 159, 86, 182)(64, 160, 87, 183)(65, 161, 84, 180)(66, 162, 89, 185)(67, 163, 80, 176)(68, 164, 79, 175)(69, 165, 88, 184)(70, 166, 85, 181)(71, 167, 74, 170)(72, 168, 77, 173)(75, 171, 91, 187)(76, 172, 92, 188)(78, 174, 94, 190)(81, 177, 93, 189)(82, 178, 90, 186)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 230, 326, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 245, 341, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 255, 351, 237, 333, 258, 354, 226, 322, 208, 304)(201, 297, 211, 307, 232, 328, 262, 358, 229, 325, 261, 357, 234, 330, 212, 308)(203, 299, 215, 311, 239, 335, 267, 363, 252, 348, 270, 366, 241, 337, 216, 312)(205, 301, 219, 315, 247, 343, 274, 370, 244, 340, 273, 369, 249, 345, 220, 316)(209, 305, 227, 323, 259, 355, 236, 332, 213, 309, 235, 331, 260, 356, 228, 324)(217, 313, 242, 338, 271, 367, 251, 347, 221, 317, 250, 346, 272, 368, 243, 339)(223, 319, 253, 349, 233, 329, 264, 360, 281, 377, 287, 383, 277, 373, 254, 350)(225, 321, 256, 352, 231, 327, 263, 359, 278, 374, 284, 380, 280, 376, 257, 353)(238, 334, 265, 361, 248, 344, 276, 372, 286, 382, 288, 384, 282, 378, 266, 362)(240, 336, 268, 364, 246, 342, 275, 371, 283, 379, 279, 375, 285, 381, 269, 365)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 225)(17, 200)(18, 229)(19, 231)(20, 233)(21, 202)(22, 237)(23, 238)(24, 240)(25, 204)(26, 244)(27, 246)(28, 248)(29, 206)(30, 252)(31, 207)(32, 251)(33, 208)(34, 243)(35, 249)(36, 241)(37, 210)(38, 245)(39, 211)(40, 250)(41, 212)(42, 242)(43, 247)(44, 239)(45, 214)(46, 215)(47, 236)(48, 216)(49, 228)(50, 234)(51, 226)(52, 218)(53, 230)(54, 219)(55, 235)(56, 220)(57, 227)(58, 232)(59, 224)(60, 222)(61, 265)(62, 275)(63, 278)(64, 279)(65, 276)(66, 281)(67, 272)(68, 271)(69, 280)(70, 277)(71, 266)(72, 269)(73, 253)(74, 263)(75, 283)(76, 284)(77, 264)(78, 286)(79, 260)(80, 259)(81, 285)(82, 282)(83, 254)(84, 257)(85, 262)(86, 255)(87, 256)(88, 261)(89, 258)(90, 274)(91, 267)(92, 268)(93, 273)(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, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.653
Graph:: bipartite
	v = 60 e = 192 f = 112
	degree seq :: [ 4^48, 16^12 ]

E11.652 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
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, Y2^8, (Y2^-1 * R * Y2^-3)^2, (Y2^-1 * Y1 * Y2^-3)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 33, 129)(18, 114, 37, 133)(19, 115, 39, 135)(20, 116, 41, 137)(22, 118, 45, 141)(23, 119, 46, 142)(24, 120, 48, 144)(26, 122, 52, 148)(27, 123, 54, 150)(28, 124, 56, 152)(30, 126, 60, 156)(32, 128, 51, 147)(34, 130, 59, 155)(35, 131, 55, 151)(36, 132, 47, 143)(38, 134, 53, 149)(40, 136, 50, 146)(42, 138, 58, 154)(43, 139, 57, 153)(44, 140, 49, 145)(61, 157, 84, 180)(62, 158, 86, 182)(63, 159, 87, 183)(64, 160, 76, 172)(65, 161, 89, 185)(66, 162, 90, 186)(67, 163, 80, 176)(68, 164, 79, 175)(69, 165, 88, 184)(70, 166, 85, 181)(71, 167, 83, 179)(72, 168, 73, 169)(74, 170, 92, 188)(75, 171, 93, 189)(77, 173, 95, 191)(78, 174, 96, 192)(81, 177, 94, 190)(82, 178, 91, 187)(193, 289, 195, 291, 200, 296, 210, 306, 230, 326, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 245, 341, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 255, 351, 237, 333, 258, 354, 226, 322, 208, 304)(201, 297, 211, 307, 232, 328, 262, 358, 229, 325, 261, 357, 234, 330, 212, 308)(203, 299, 215, 311, 239, 335, 267, 363, 252, 348, 270, 366, 241, 337, 216, 312)(205, 301, 219, 315, 247, 343, 274, 370, 244, 340, 273, 369, 249, 345, 220, 316)(209, 305, 227, 323, 259, 355, 236, 332, 213, 309, 235, 331, 260, 356, 228, 324)(217, 313, 242, 338, 271, 367, 251, 347, 221, 317, 250, 346, 272, 368, 243, 339)(223, 319, 253, 349, 277, 373, 287, 383, 282, 378, 264, 360, 233, 329, 254, 350)(225, 321, 256, 352, 280, 376, 284, 380, 279, 375, 263, 359, 231, 327, 257, 353)(238, 334, 265, 361, 283, 379, 281, 377, 288, 384, 276, 372, 248, 344, 266, 362)(240, 336, 268, 364, 286, 382, 278, 374, 285, 381, 275, 371, 246, 342, 269, 365)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 225)(17, 200)(18, 229)(19, 231)(20, 233)(21, 202)(22, 237)(23, 238)(24, 240)(25, 204)(26, 244)(27, 246)(28, 248)(29, 206)(30, 252)(31, 207)(32, 243)(33, 208)(34, 251)(35, 247)(36, 239)(37, 210)(38, 245)(39, 211)(40, 242)(41, 212)(42, 250)(43, 249)(44, 241)(45, 214)(46, 215)(47, 228)(48, 216)(49, 236)(50, 232)(51, 224)(52, 218)(53, 230)(54, 219)(55, 227)(56, 220)(57, 235)(58, 234)(59, 226)(60, 222)(61, 276)(62, 278)(63, 279)(64, 268)(65, 281)(66, 282)(67, 272)(68, 271)(69, 280)(70, 277)(71, 275)(72, 265)(73, 264)(74, 284)(75, 285)(76, 256)(77, 287)(78, 288)(79, 260)(80, 259)(81, 286)(82, 283)(83, 263)(84, 253)(85, 262)(86, 254)(87, 255)(88, 261)(89, 257)(90, 258)(91, 274)(92, 266)(93, 267)(94, 273)(95, 269)(96, 270)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.654
Graph:: bipartite
	v = 60 e = 192 f = 112
	degree seq :: [ 4^48, 16^12 ]

E11.653 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1 * Y1)^2, Y1^6, (Y3^2 * Y1^-1 * Y3)^2, Y1^-1 * Y3^-2 * Y1 * Y3 * Y1^-1 * Y3^-3 * Y1^-1, (Y3 * Y1^-1 * Y3^-2 * Y1^-1)^2, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 16, 112, 13, 109, 4, 100)(3, 99, 9, 105, 23, 119, 36, 132, 18, 114, 11, 107)(5, 101, 14, 110, 31, 127, 37, 133, 20, 116, 7, 103)(8, 104, 21, 117, 12, 108, 29, 125, 39, 135, 17, 113)(10, 106, 25, 121, 53, 149, 66, 162, 50, 146, 27, 123)(15, 111, 34, 130, 44, 140, 67, 163, 64, 160, 32, 128)(19, 115, 41, 137, 74, 170, 62, 158, 33, 129, 43, 139)(22, 118, 47, 143, 71, 167, 59, 155, 81, 177, 45, 141)(24, 120, 51, 147, 28, 124, 40, 136, 72, 168, 49, 145)(26, 122, 55, 151, 87, 183, 89, 185, 82, 178, 48, 144)(30, 126, 46, 142, 70, 166, 38, 134, 68, 164, 61, 157)(35, 131, 60, 156, 88, 184, 90, 186, 69, 165, 65, 161)(42, 138, 76, 172, 52, 148, 85, 181, 94, 190, 73, 169)(54, 150, 78, 174, 57, 153, 84, 180, 91, 187, 75, 171)(56, 152, 77, 173, 92, 188, 96, 192, 95, 191, 86, 182)(58, 154, 80, 176, 63, 159, 83, 179, 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, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 218)(11, 220)(12, 222)(13, 223)(14, 224)(15, 197)(16, 228)(17, 230)(18, 198)(19, 234)(20, 236)(21, 237)(22, 200)(23, 241)(24, 201)(25, 203)(26, 248)(27, 249)(28, 250)(29, 205)(30, 252)(31, 254)(32, 255)(33, 206)(34, 257)(35, 207)(36, 258)(37, 208)(38, 261)(39, 263)(40, 210)(41, 212)(42, 269)(43, 270)(44, 271)(45, 272)(46, 213)(47, 274)(48, 214)(49, 275)(50, 215)(51, 268)(52, 216)(53, 267)(54, 217)(55, 219)(56, 227)(57, 225)(58, 226)(59, 221)(60, 278)(61, 276)(62, 277)(63, 273)(64, 280)(65, 262)(66, 281)(67, 229)(68, 231)(69, 284)(70, 246)(71, 285)(72, 286)(73, 232)(74, 283)(75, 233)(76, 235)(77, 240)(78, 238)(79, 239)(80, 243)(81, 247)(82, 245)(83, 256)(84, 242)(85, 287)(86, 244)(87, 251)(88, 253)(89, 288)(90, 259)(91, 260)(92, 265)(93, 264)(94, 266)(95, 279)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.651
Graph:: simple bipartite
	v = 112 e = 192 f = 60
	degree seq :: [ 2^96, 12^16 ]

E11.654 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-2, Y1^-1 * Y3^-2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3^3 * Y1^-1)^2, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 16, 112, 13, 109, 4, 100)(3, 99, 9, 105, 23, 119, 55, 151, 29, 125, 11, 107)(5, 101, 14, 110, 34, 130, 49, 145, 20, 116, 7, 103)(8, 104, 21, 117, 50, 146, 80, 176, 42, 138, 17, 113)(10, 106, 25, 121, 48, 144, 74, 170, 62, 158, 27, 123)(12, 108, 30, 126, 66, 162, 83, 179, 46, 142, 32, 128)(15, 111, 37, 133, 73, 169, 77, 173, 57, 153, 35, 131)(18, 114, 43, 139, 38, 134, 68, 164, 75, 171, 39, 135)(19, 115, 45, 141, 79, 175, 70, 166, 87, 183, 47, 143)(22, 118, 53, 149, 92, 188, 67, 163, 36, 132, 51, 147)(24, 120, 52, 148, 81, 177, 44, 140, 82, 178, 56, 152)(26, 122, 59, 155, 33, 129, 40, 136, 76, 172, 54, 150)(28, 124, 41, 137, 78, 174, 69, 165, 31, 127, 64, 160)(58, 154, 86, 182, 72, 168, 94, 190, 95, 191, 88, 184)(60, 156, 85, 181, 65, 161, 89, 185, 71, 167, 90, 186)(61, 157, 93, 189, 96, 192, 84, 180, 63, 159, 91, 187)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 218)(11, 220)(12, 223)(13, 225)(14, 227)(15, 197)(16, 231)(17, 233)(18, 198)(19, 238)(20, 240)(21, 243)(22, 200)(23, 248)(24, 201)(25, 203)(26, 252)(27, 253)(28, 255)(29, 257)(30, 205)(31, 260)(32, 239)(33, 262)(34, 259)(35, 264)(36, 206)(37, 235)(38, 207)(39, 266)(40, 208)(41, 221)(42, 271)(43, 273)(44, 210)(45, 212)(46, 277)(47, 278)(48, 280)(49, 281)(50, 216)(51, 283)(52, 213)(53, 268)(54, 214)(55, 269)(56, 285)(57, 215)(58, 217)(59, 219)(60, 230)(61, 228)(62, 267)(63, 229)(64, 224)(65, 275)(66, 284)(67, 222)(68, 282)(69, 286)(70, 272)(71, 226)(72, 279)(73, 276)(74, 241)(75, 261)(76, 265)(77, 232)(78, 234)(79, 288)(80, 263)(81, 250)(82, 258)(83, 236)(84, 237)(85, 246)(86, 244)(87, 251)(88, 245)(89, 247)(90, 242)(91, 256)(92, 287)(93, 254)(94, 249)(95, 270)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E11.652
Graph:: simple bipartite
	v = 112 e = 192 f = 60
	degree seq :: [ 2^96, 12^16 ]

E11.655 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 77, 85, 84, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 73, 81, 89, 92, 87, 78, 71, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 75, 83, 91, 93, 86, 79, 70, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 72, 80, 88, 94, 96, 95, 90, 82, 74, 66, 58, 50, 42, 34, 26)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 70)(63, 72)(67, 74)(68, 75)(69, 78)(71, 80)(73, 82)(76, 81)(77, 86)(79, 88)(83, 90)(84, 91)(85, 92)(87, 94)(89, 95)(93, 96)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.656
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 48 f = 24
	degree seq :: [ 24^4 ]

E11.656 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 10, 8)(6, 11, 9, 12)(13, 17, 14, 18)(15, 19, 16, 20)(21, 25, 22, 26)(23, 27, 24, 28)(29, 33, 30, 34)(31, 35, 32, 37)(36, 54, 40, 53)(38, 57, 39, 55)(41, 60, 42, 56)(43, 59, 44, 58)(45, 62, 46, 61)(47, 64, 48, 63)(49, 66, 50, 65)(51, 68, 52, 67)(69, 73, 70, 74)(71, 75, 72, 76)(77, 94, 78, 93)(79, 96, 80, 95)(81, 92, 82, 91)(83, 89, 84, 90)(85, 87, 86, 88)
	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, 54)(35, 55)(36, 56)(37, 57)(38, 58)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(47, 67)(48, 68)(49, 69)(50, 70)(51, 71)(52, 72)(73, 93)(74, 94)(75, 95)(76, 96)(77, 91)(78, 92)(79, 90)(80, 89)(81, 88)(82, 87)(83, 85)(84, 86)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E11.655
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 24 e = 48 f = 4
	degree seq :: [ 4^24 ]

E11.657 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^24 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 9, 14)(10, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)(33, 61, 34, 63)(35, 66, 42, 68)(36, 70, 45, 72)(37, 74, 38, 69)(39, 79, 40, 65)(41, 83, 43, 85)(44, 84, 46, 87)(47, 76, 48, 73)(49, 81, 50, 78)(51, 88, 52, 71)(53, 86, 54, 67)(55, 91, 56, 89)(57, 77, 58, 75)(59, 82, 60, 80)(62, 92, 64, 90)(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, 129)(126, 130)(127, 151)(128, 152)(131, 161)(132, 165)(133, 169)(134, 172)(135, 174)(136, 177)(137, 162)(138, 175)(139, 164)(140, 166)(141, 170)(142, 168)(143, 185)(144, 187)(145, 159)(146, 157)(147, 179)(148, 181)(149, 180)(150, 183)(153, 184)(154, 167)(155, 182)(156, 163)(158, 173)(160, 171)(176, 192)(178, 191)(186, 189)(188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E11.661
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 96 f = 4
	degree seq :: [ 2^48, 4^24 ]

E11.658 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^24 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 94, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 95, 89, 81, 73, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 92, 96, 93, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14)(97, 98, 102, 100)(99, 105, 109, 104)(101, 107, 110, 103)(106, 112, 117, 113)(108, 111, 118, 115)(114, 121, 125, 120)(116, 123, 126, 119)(122, 128, 133, 129)(124, 127, 134, 131)(130, 137, 141, 136)(132, 139, 142, 135)(138, 144, 149, 145)(140, 143, 150, 147)(146, 153, 157, 152)(148, 155, 158, 151)(154, 160, 165, 161)(156, 159, 166, 163)(162, 169, 173, 168)(164, 171, 174, 167)(170, 176, 181, 177)(172, 175, 182, 179)(178, 185, 188, 184)(180, 187, 189, 183)(186, 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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.662
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 4^24, 24^4 ]

E11.659 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^24 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 70)(63, 72)(67, 74)(68, 75)(69, 78)(71, 80)(73, 82)(76, 81)(77, 86)(79, 88)(83, 90)(84, 91)(85, 92)(87, 94)(89, 95)(93, 96)(97, 98, 101, 107, 116, 125, 133, 141, 149, 157, 165, 173, 181, 180, 172, 164, 156, 148, 140, 132, 124, 115, 106, 100)(99, 103, 111, 121, 129, 137, 145, 153, 161, 169, 177, 185, 188, 183, 174, 167, 158, 151, 142, 135, 126, 118, 108, 104)(102, 109, 105, 114, 123, 131, 139, 147, 155, 163, 171, 179, 187, 189, 182, 175, 166, 159, 150, 143, 134, 127, 117, 110)(112, 119, 113, 120, 128, 136, 144, 152, 160, 168, 176, 184, 190, 192, 191, 186, 178, 170, 162, 154, 146, 138, 130, 122)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E11.660
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 24
	degree seq :: [ 2^48, 24^4 ]

E11.660 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^24 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 4, 100)(2, 98, 5, 101, 11, 107, 6, 102)(7, 103, 13, 109, 9, 105, 14, 110)(10, 106, 15, 111, 12, 108, 16, 112)(17, 113, 21, 117, 18, 114, 22, 118)(19, 115, 23, 119, 20, 116, 24, 120)(25, 121, 29, 125, 26, 122, 30, 126)(27, 123, 31, 127, 28, 124, 32, 128)(33, 129, 35, 131, 34, 130, 38, 134)(36, 132, 52, 148, 41, 137, 51, 147)(37, 133, 58, 154, 39, 135, 55, 151)(40, 136, 61, 157, 42, 138, 56, 152)(43, 139, 59, 155, 44, 140, 57, 153)(45, 141, 62, 158, 46, 142, 60, 156)(47, 143, 64, 160, 48, 144, 63, 159)(49, 145, 66, 162, 50, 146, 65, 161)(53, 149, 68, 164, 54, 150, 67, 163)(69, 165, 71, 167, 70, 166, 72, 168)(73, 169, 75, 171, 74, 170, 76, 172)(77, 173, 92, 188, 78, 174, 91, 187)(79, 175, 96, 192, 80, 176, 95, 191)(81, 177, 94, 190, 82, 178, 93, 189)(83, 179, 89, 185, 84, 180, 90, 186)(85, 181, 87, 183, 86, 182, 88, 184)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 106)(6, 108)(7, 99)(8, 107)(9, 100)(10, 101)(11, 104)(12, 102)(13, 113)(14, 114)(15, 115)(16, 116)(17, 109)(18, 110)(19, 111)(20, 112)(21, 121)(22, 122)(23, 123)(24, 124)(25, 117)(26, 118)(27, 119)(28, 120)(29, 129)(30, 130)(31, 147)(32, 148)(33, 125)(34, 126)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 127)(52, 128)(53, 169)(54, 170)(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, 187)(72, 188)(73, 149)(74, 150)(75, 191)(76, 192)(77, 189)(78, 190)(79, 186)(80, 185)(81, 184)(82, 183)(83, 181)(84, 182)(85, 179)(86, 180)(87, 178)(88, 177)(89, 176)(90, 175)(91, 167)(92, 168)(93, 173)(94, 174)(95, 171)(96, 172)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.659
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 52
	degree seq :: [ 8^24 ]

E11.661 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^24 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 18, 114, 26, 122, 34, 130, 42, 138, 50, 146, 58, 154, 66, 162, 74, 170, 82, 178, 90, 186, 84, 180, 76, 172, 68, 164, 60, 156, 52, 148, 44, 140, 36, 132, 28, 124, 20, 116, 12, 108, 5, 101)(2, 98, 7, 103, 15, 111, 23, 119, 31, 127, 39, 135, 47, 143, 55, 151, 63, 159, 71, 167, 79, 175, 87, 183, 94, 190, 88, 184, 80, 176, 72, 168, 64, 160, 56, 152, 48, 144, 40, 136, 32, 128, 24, 120, 16, 112, 8, 104)(4, 100, 11, 107, 19, 115, 27, 123, 35, 131, 43, 139, 51, 147, 59, 155, 67, 163, 75, 171, 83, 179, 91, 187, 95, 191, 89, 185, 81, 177, 73, 169, 65, 161, 57, 153, 49, 145, 41, 137, 33, 129, 25, 121, 17, 113, 9, 105)(6, 102, 13, 109, 21, 117, 29, 125, 37, 133, 45, 141, 53, 149, 61, 157, 69, 165, 77, 173, 85, 181, 92, 188, 96, 192, 93, 189, 86, 182, 78, 174, 70, 166, 62, 158, 54, 150, 46, 142, 38, 134, 30, 126, 22, 118, 14, 110)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 107)(6, 100)(7, 101)(8, 99)(9, 109)(10, 112)(11, 110)(12, 111)(13, 104)(14, 103)(15, 118)(16, 117)(17, 106)(18, 121)(19, 108)(20, 123)(21, 113)(22, 115)(23, 116)(24, 114)(25, 125)(26, 128)(27, 126)(28, 127)(29, 120)(30, 119)(31, 134)(32, 133)(33, 122)(34, 137)(35, 124)(36, 139)(37, 129)(38, 131)(39, 132)(40, 130)(41, 141)(42, 144)(43, 142)(44, 143)(45, 136)(46, 135)(47, 150)(48, 149)(49, 138)(50, 153)(51, 140)(52, 155)(53, 145)(54, 147)(55, 148)(56, 146)(57, 157)(58, 160)(59, 158)(60, 159)(61, 152)(62, 151)(63, 166)(64, 165)(65, 154)(66, 169)(67, 156)(68, 171)(69, 161)(70, 163)(71, 164)(72, 162)(73, 173)(74, 176)(75, 174)(76, 175)(77, 168)(78, 167)(79, 182)(80, 181)(81, 170)(82, 185)(83, 172)(84, 187)(85, 177)(86, 179)(87, 180)(88, 178)(89, 188)(90, 190)(91, 189)(92, 184)(93, 183)(94, 192)(95, 186)(96, 191)
	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 E11.657
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 96 f = 72
	degree seq :: [ 48^4 ]

E11.662 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 15, 111)(11, 107, 21, 117)(13, 109, 23, 119)(14, 110, 24, 120)(18, 114, 26, 122)(19, 115, 27, 123)(20, 116, 30, 126)(22, 118, 32, 128)(25, 121, 34, 130)(28, 124, 33, 129)(29, 125, 38, 134)(31, 127, 40, 136)(35, 131, 42, 138)(36, 132, 43, 139)(37, 133, 46, 142)(39, 135, 48, 144)(41, 137, 50, 146)(44, 140, 49, 145)(45, 141, 54, 150)(47, 143, 56, 152)(51, 147, 58, 154)(52, 148, 59, 155)(53, 149, 62, 158)(55, 151, 64, 160)(57, 153, 66, 162)(60, 156, 65, 161)(61, 157, 70, 166)(63, 159, 72, 168)(67, 163, 74, 170)(68, 164, 75, 171)(69, 165, 78, 174)(71, 167, 80, 176)(73, 169, 82, 178)(76, 172, 81, 177)(77, 173, 86, 182)(79, 175, 88, 184)(83, 179, 90, 186)(84, 180, 91, 187)(85, 181, 92, 188)(87, 183, 94, 190)(89, 185, 95, 191)(93, 189, 96, 192)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 114)(10, 100)(11, 116)(12, 104)(13, 105)(14, 102)(15, 121)(16, 119)(17, 120)(18, 123)(19, 106)(20, 125)(21, 110)(22, 108)(23, 113)(24, 128)(25, 129)(26, 112)(27, 131)(28, 115)(29, 133)(30, 118)(31, 117)(32, 136)(33, 137)(34, 122)(35, 139)(36, 124)(37, 141)(38, 127)(39, 126)(40, 144)(41, 145)(42, 130)(43, 147)(44, 132)(45, 149)(46, 135)(47, 134)(48, 152)(49, 153)(50, 138)(51, 155)(52, 140)(53, 157)(54, 143)(55, 142)(56, 160)(57, 161)(58, 146)(59, 163)(60, 148)(61, 165)(62, 151)(63, 150)(64, 168)(65, 169)(66, 154)(67, 171)(68, 156)(69, 173)(70, 159)(71, 158)(72, 176)(73, 177)(74, 162)(75, 179)(76, 164)(77, 181)(78, 167)(79, 166)(80, 184)(81, 185)(82, 170)(83, 187)(84, 172)(85, 180)(86, 175)(87, 174)(88, 190)(89, 188)(90, 178)(91, 189)(92, 183)(93, 182)(94, 192)(95, 186)(96, 191)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.658
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|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)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 11, 107)(13, 109, 17, 113)(14, 110, 18, 114)(15, 111, 19, 115)(16, 112, 20, 116)(21, 117, 25, 121)(22, 118, 26, 122)(23, 119, 27, 123)(24, 120, 28, 124)(29, 125, 33, 129)(30, 126, 34, 130)(31, 127, 56, 152)(32, 128, 55, 151)(35, 131, 65, 161)(36, 132, 69, 165)(37, 133, 73, 169)(38, 134, 76, 172)(39, 135, 78, 174)(40, 136, 81, 177)(41, 137, 66, 162)(42, 138, 79, 175)(43, 139, 68, 164)(44, 140, 70, 166)(45, 141, 74, 170)(46, 142, 72, 168)(47, 143, 89, 185)(48, 144, 91, 187)(49, 145, 61, 157)(50, 146, 63, 159)(51, 147, 83, 179)(52, 148, 85, 181)(53, 149, 87, 183)(54, 150, 84, 180)(57, 153, 71, 167)(58, 154, 88, 184)(59, 155, 67, 163)(60, 156, 86, 182)(62, 158, 75, 171)(64, 160, 77, 173)(80, 176, 96, 192)(82, 178, 95, 191)(90, 186, 93, 189)(92, 188, 94, 190)(193, 289, 195, 291, 200, 296, 196, 292)(194, 290, 197, 293, 203, 299, 198, 294)(199, 295, 205, 301, 201, 297, 206, 302)(202, 298, 207, 303, 204, 300, 208, 304)(209, 305, 213, 309, 210, 306, 214, 310)(211, 307, 215, 311, 212, 308, 216, 312)(217, 313, 221, 317, 218, 314, 222, 318)(219, 315, 223, 319, 220, 316, 224, 320)(225, 321, 253, 349, 226, 322, 255, 351)(227, 323, 258, 354, 234, 330, 260, 356)(228, 324, 262, 358, 237, 333, 264, 360)(229, 325, 266, 362, 230, 326, 261, 357)(231, 327, 271, 367, 232, 328, 257, 353)(233, 329, 275, 371, 235, 331, 277, 373)(236, 332, 279, 375, 238, 334, 276, 372)(239, 335, 268, 364, 240, 336, 265, 361)(241, 337, 273, 369, 242, 338, 270, 366)(243, 339, 263, 359, 244, 340, 280, 376)(245, 341, 259, 355, 246, 342, 278, 374)(247, 343, 283, 379, 248, 344, 281, 377)(249, 345, 267, 363, 250, 346, 269, 365)(251, 347, 272, 368, 252, 348, 274, 370)(254, 350, 282, 378, 256, 352, 284, 380)(285, 381, 287, 383, 286, 382, 288, 384)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 203)(9, 196)(10, 197)(11, 200)(12, 198)(13, 209)(14, 210)(15, 211)(16, 212)(17, 205)(18, 206)(19, 207)(20, 208)(21, 217)(22, 218)(23, 219)(24, 220)(25, 213)(26, 214)(27, 215)(28, 216)(29, 225)(30, 226)(31, 248)(32, 247)(33, 221)(34, 222)(35, 257)(36, 261)(37, 265)(38, 268)(39, 270)(40, 273)(41, 258)(42, 271)(43, 260)(44, 262)(45, 266)(46, 264)(47, 281)(48, 283)(49, 253)(50, 255)(51, 275)(52, 277)(53, 279)(54, 276)(55, 224)(56, 223)(57, 263)(58, 280)(59, 259)(60, 278)(61, 241)(62, 267)(63, 242)(64, 269)(65, 227)(66, 233)(67, 251)(68, 235)(69, 228)(70, 236)(71, 249)(72, 238)(73, 229)(74, 237)(75, 254)(76, 230)(77, 256)(78, 231)(79, 234)(80, 288)(81, 232)(82, 287)(83, 243)(84, 246)(85, 244)(86, 252)(87, 245)(88, 250)(89, 239)(90, 285)(91, 240)(92, 286)(93, 282)(94, 284)(95, 274)(96, 272)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.666
Graph:: bipartite
	v = 72 e = 192 f = 100
	degree seq :: [ 4^48, 8^24 ]

E11.664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|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, Y2^24 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 13, 109, 8, 104)(5, 101, 11, 107, 14, 110, 7, 103)(10, 106, 16, 112, 21, 117, 17, 113)(12, 108, 15, 111, 22, 118, 19, 115)(18, 114, 25, 121, 29, 125, 24, 120)(20, 116, 27, 123, 30, 126, 23, 119)(26, 122, 32, 128, 37, 133, 33, 129)(28, 124, 31, 127, 38, 134, 35, 131)(34, 130, 41, 137, 45, 141, 40, 136)(36, 132, 43, 139, 46, 142, 39, 135)(42, 138, 48, 144, 53, 149, 49, 145)(44, 140, 47, 143, 54, 150, 51, 147)(50, 146, 57, 153, 61, 157, 56, 152)(52, 148, 59, 155, 62, 158, 55, 151)(58, 154, 64, 160, 69, 165, 65, 161)(60, 156, 63, 159, 70, 166, 67, 163)(66, 162, 73, 169, 77, 173, 72, 168)(68, 164, 75, 171, 78, 174, 71, 167)(74, 170, 80, 176, 85, 181, 81, 177)(76, 172, 79, 175, 86, 182, 83, 179)(82, 178, 89, 185, 92, 188, 88, 184)(84, 180, 91, 187, 93, 189, 87, 183)(90, 186, 94, 190, 96, 192, 95, 191)(193, 289, 195, 291, 202, 298, 210, 306, 218, 314, 226, 322, 234, 330, 242, 338, 250, 346, 258, 354, 266, 362, 274, 370, 282, 378, 276, 372, 268, 364, 260, 356, 252, 348, 244, 340, 236, 332, 228, 324, 220, 316, 212, 308, 204, 300, 197, 293)(194, 290, 199, 295, 207, 303, 215, 311, 223, 319, 231, 327, 239, 335, 247, 343, 255, 351, 263, 359, 271, 367, 279, 375, 286, 382, 280, 376, 272, 368, 264, 360, 256, 352, 248, 344, 240, 336, 232, 328, 224, 320, 216, 312, 208, 304, 200, 296)(196, 292, 203, 299, 211, 307, 219, 315, 227, 323, 235, 331, 243, 339, 251, 347, 259, 355, 267, 363, 275, 371, 283, 379, 287, 383, 281, 377, 273, 369, 265, 361, 257, 353, 249, 345, 241, 337, 233, 329, 225, 321, 217, 313, 209, 305, 201, 297)(198, 294, 205, 301, 213, 309, 221, 317, 229, 325, 237, 333, 245, 341, 253, 349, 261, 357, 269, 365, 277, 373, 284, 380, 288, 384, 285, 381, 278, 374, 270, 366, 262, 358, 254, 350, 246, 342, 238, 334, 230, 326, 222, 318, 214, 310, 206, 302)
	L = (1, 195)(2, 199)(3, 202)(4, 203)(5, 193)(6, 205)(7, 207)(8, 194)(9, 196)(10, 210)(11, 211)(12, 197)(13, 213)(14, 198)(15, 215)(16, 200)(17, 201)(18, 218)(19, 219)(20, 204)(21, 221)(22, 206)(23, 223)(24, 208)(25, 209)(26, 226)(27, 227)(28, 212)(29, 229)(30, 214)(31, 231)(32, 216)(33, 217)(34, 234)(35, 235)(36, 220)(37, 237)(38, 222)(39, 239)(40, 224)(41, 225)(42, 242)(43, 243)(44, 228)(45, 245)(46, 230)(47, 247)(48, 232)(49, 233)(50, 250)(51, 251)(52, 236)(53, 253)(54, 238)(55, 255)(56, 240)(57, 241)(58, 258)(59, 259)(60, 244)(61, 261)(62, 246)(63, 263)(64, 248)(65, 249)(66, 266)(67, 267)(68, 252)(69, 269)(70, 254)(71, 271)(72, 256)(73, 257)(74, 274)(75, 275)(76, 260)(77, 277)(78, 262)(79, 279)(80, 264)(81, 265)(82, 282)(83, 283)(84, 268)(85, 284)(86, 270)(87, 286)(88, 272)(89, 273)(90, 276)(91, 287)(92, 288)(93, 278)(94, 280)(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) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E11.665
Graph:: bipartite
	v = 28 e = 192 f = 144
	degree seq :: [ 8^24, 48^4 ]

E11.665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|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, Y3^10 * Y2 * Y3^-14 * Y2, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 206, 302)(202, 298, 204, 300)(207, 303, 212, 308)(208, 304, 215, 311)(209, 305, 217, 313)(210, 306, 213, 309)(211, 307, 219, 315)(214, 310, 221, 317)(216, 312, 223, 319)(218, 314, 224, 320)(220, 316, 222, 318)(225, 321, 231, 327)(226, 322, 233, 329)(227, 323, 229, 325)(228, 324, 235, 331)(230, 326, 237, 333)(232, 328, 239, 335)(234, 330, 240, 336)(236, 332, 238, 334)(241, 337, 247, 343)(242, 338, 249, 345)(243, 339, 245, 341)(244, 340, 251, 347)(246, 342, 253, 349)(248, 344, 255, 351)(250, 346, 256, 352)(252, 348, 254, 350)(257, 353, 263, 359)(258, 354, 265, 361)(259, 355, 261, 357)(260, 356, 267, 363)(262, 358, 269, 365)(264, 360, 271, 367)(266, 362, 272, 368)(268, 364, 270, 366)(273, 369, 279, 375)(274, 370, 281, 377)(275, 371, 277, 373)(276, 372, 283, 379)(278, 374, 284, 380)(280, 376, 286, 382)(282, 378, 285, 381)(287, 383, 288, 384)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 209)(9, 210)(10, 196)(11, 212)(12, 214)(13, 215)(14, 198)(15, 201)(16, 199)(17, 218)(18, 219)(19, 202)(20, 205)(21, 203)(22, 222)(23, 223)(24, 206)(25, 208)(26, 226)(27, 227)(28, 211)(29, 213)(30, 230)(31, 231)(32, 216)(33, 217)(34, 234)(35, 235)(36, 220)(37, 221)(38, 238)(39, 239)(40, 224)(41, 225)(42, 242)(43, 243)(44, 228)(45, 229)(46, 246)(47, 247)(48, 232)(49, 233)(50, 250)(51, 251)(52, 236)(53, 237)(54, 254)(55, 255)(56, 240)(57, 241)(58, 258)(59, 259)(60, 244)(61, 245)(62, 262)(63, 263)(64, 248)(65, 249)(66, 266)(67, 267)(68, 252)(69, 253)(70, 270)(71, 271)(72, 256)(73, 257)(74, 274)(75, 275)(76, 260)(77, 261)(78, 278)(79, 279)(80, 264)(81, 265)(82, 282)(83, 283)(84, 268)(85, 269)(86, 285)(87, 286)(88, 272)(89, 273)(90, 276)(91, 287)(92, 277)(93, 280)(94, 288)(95, 281)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.664
Graph:: simple bipartite
	v = 144 e = 192 f = 28
	degree seq :: [ 2^96, 4^48 ]

E11.666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|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, Y1^24 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 20, 116, 29, 125, 37, 133, 45, 141, 53, 149, 61, 157, 69, 165, 77, 173, 85, 181, 84, 180, 76, 172, 68, 164, 60, 156, 52, 148, 44, 140, 36, 132, 28, 124, 19, 115, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 25, 121, 33, 129, 41, 137, 49, 145, 57, 153, 65, 161, 73, 169, 81, 177, 89, 185, 92, 188, 87, 183, 78, 174, 71, 167, 62, 158, 55, 151, 46, 142, 39, 135, 30, 126, 22, 118, 12, 108, 8, 104)(6, 102, 13, 109, 9, 105, 18, 114, 27, 123, 35, 131, 43, 139, 51, 147, 59, 155, 67, 163, 75, 171, 83, 179, 91, 187, 93, 189, 86, 182, 79, 175, 70, 166, 63, 159, 54, 150, 47, 143, 38, 134, 31, 127, 21, 117, 14, 110)(16, 112, 23, 119, 17, 113, 24, 120, 32, 128, 40, 136, 48, 144, 56, 152, 64, 160, 72, 168, 80, 176, 88, 184, 94, 190, 96, 192, 95, 191, 90, 186, 82, 178, 74, 170, 66, 162, 58, 154, 50, 146, 42, 138, 34, 130, 26, 122)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 207)(11, 213)(12, 197)(13, 215)(14, 216)(15, 202)(16, 199)(17, 200)(18, 218)(19, 219)(20, 222)(21, 203)(22, 224)(23, 205)(24, 206)(25, 226)(26, 210)(27, 211)(28, 225)(29, 230)(30, 212)(31, 232)(32, 214)(33, 220)(34, 217)(35, 234)(36, 235)(37, 238)(38, 221)(39, 240)(40, 223)(41, 242)(42, 227)(43, 228)(44, 241)(45, 246)(46, 229)(47, 248)(48, 231)(49, 236)(50, 233)(51, 250)(52, 251)(53, 254)(54, 237)(55, 256)(56, 239)(57, 258)(58, 243)(59, 244)(60, 257)(61, 262)(62, 245)(63, 264)(64, 247)(65, 252)(66, 249)(67, 266)(68, 267)(69, 270)(70, 253)(71, 272)(72, 255)(73, 274)(74, 259)(75, 260)(76, 273)(77, 278)(78, 261)(79, 280)(80, 263)(81, 268)(82, 265)(83, 282)(84, 283)(85, 284)(86, 269)(87, 286)(88, 271)(89, 287)(90, 275)(91, 276)(92, 277)(93, 288)(94, 279)(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) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E11.663
Graph:: simple bipartite
	v = 100 e = 192 f = 72
	degree seq :: [ 2^96, 48^4 ]

E11.667 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|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, Y2^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 14, 110)(10, 106, 12, 108)(15, 111, 20, 116)(16, 112, 23, 119)(17, 113, 25, 121)(18, 114, 21, 117)(19, 115, 27, 123)(22, 118, 29, 125)(24, 120, 31, 127)(26, 122, 32, 128)(28, 124, 30, 126)(33, 129, 39, 135)(34, 130, 41, 137)(35, 131, 37, 133)(36, 132, 43, 139)(38, 134, 45, 141)(40, 136, 47, 143)(42, 138, 48, 144)(44, 140, 46, 142)(49, 145, 55, 151)(50, 146, 57, 153)(51, 147, 53, 149)(52, 148, 59, 155)(54, 150, 61, 157)(56, 152, 63, 159)(58, 154, 64, 160)(60, 156, 62, 158)(65, 161, 71, 167)(66, 162, 73, 169)(67, 163, 69, 165)(68, 164, 75, 171)(70, 166, 77, 173)(72, 168, 79, 175)(74, 170, 80, 176)(76, 172, 78, 174)(81, 177, 87, 183)(82, 178, 89, 185)(83, 179, 85, 181)(84, 180, 91, 187)(86, 182, 92, 188)(88, 184, 94, 190)(90, 186, 93, 189)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 209, 305, 218, 314, 226, 322, 234, 330, 242, 338, 250, 346, 258, 354, 266, 362, 274, 370, 282, 378, 276, 372, 268, 364, 260, 356, 252, 348, 244, 340, 236, 332, 228, 324, 220, 316, 211, 307, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 214, 310, 222, 318, 230, 326, 238, 334, 246, 342, 254, 350, 262, 358, 270, 366, 278, 374, 285, 381, 280, 376, 272, 368, 264, 360, 256, 352, 248, 344, 240, 336, 232, 328, 224, 320, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 201, 297, 210, 306, 219, 315, 227, 323, 235, 331, 243, 339, 251, 347, 259, 355, 267, 363, 275, 371, 283, 379, 287, 383, 281, 377, 273, 369, 265, 361, 257, 353, 249, 345, 241, 337, 233, 329, 225, 321, 217, 313, 208, 304)(203, 299, 212, 308, 205, 301, 215, 311, 223, 319, 231, 327, 239, 335, 247, 343, 255, 351, 263, 359, 271, 367, 279, 375, 286, 382, 288, 384, 284, 380, 277, 373, 269, 365, 261, 357, 253, 349, 245, 341, 237, 333, 229, 325, 221, 317, 213, 309)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 206)(9, 196)(10, 204)(11, 197)(12, 202)(13, 198)(14, 200)(15, 212)(16, 215)(17, 217)(18, 213)(19, 219)(20, 207)(21, 210)(22, 221)(23, 208)(24, 223)(25, 209)(26, 224)(27, 211)(28, 222)(29, 214)(30, 220)(31, 216)(32, 218)(33, 231)(34, 233)(35, 229)(36, 235)(37, 227)(38, 237)(39, 225)(40, 239)(41, 226)(42, 240)(43, 228)(44, 238)(45, 230)(46, 236)(47, 232)(48, 234)(49, 247)(50, 249)(51, 245)(52, 251)(53, 243)(54, 253)(55, 241)(56, 255)(57, 242)(58, 256)(59, 244)(60, 254)(61, 246)(62, 252)(63, 248)(64, 250)(65, 263)(66, 265)(67, 261)(68, 267)(69, 259)(70, 269)(71, 257)(72, 271)(73, 258)(74, 272)(75, 260)(76, 270)(77, 262)(78, 268)(79, 264)(80, 266)(81, 279)(82, 281)(83, 277)(84, 283)(85, 275)(86, 284)(87, 273)(88, 286)(89, 274)(90, 285)(91, 276)(92, 278)(93, 282)(94, 280)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E11.668
Graph:: bipartite
	v = 52 e = 192 f = 120
	degree seq :: [ 4^48, 48^4 ]

E11.668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 28>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|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)^24 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 13, 109, 8, 104)(5, 101, 11, 107, 14, 110, 7, 103)(10, 106, 16, 112, 21, 117, 17, 113)(12, 108, 15, 111, 22, 118, 19, 115)(18, 114, 25, 121, 29, 125, 24, 120)(20, 116, 27, 123, 30, 126, 23, 119)(26, 122, 32, 128, 37, 133, 33, 129)(28, 124, 31, 127, 38, 134, 35, 131)(34, 130, 41, 137, 45, 141, 40, 136)(36, 132, 43, 139, 46, 142, 39, 135)(42, 138, 48, 144, 53, 149, 49, 145)(44, 140, 47, 143, 54, 150, 51, 147)(50, 146, 57, 153, 61, 157, 56, 152)(52, 148, 59, 155, 62, 158, 55, 151)(58, 154, 64, 160, 69, 165, 65, 161)(60, 156, 63, 159, 70, 166, 67, 163)(66, 162, 73, 169, 77, 173, 72, 168)(68, 164, 75, 171, 78, 174, 71, 167)(74, 170, 80, 176, 85, 181, 81, 177)(76, 172, 79, 175, 86, 182, 83, 179)(82, 178, 89, 185, 92, 188, 88, 184)(84, 180, 91, 187, 93, 189, 87, 183)(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, 202)(4, 203)(5, 193)(6, 205)(7, 207)(8, 194)(9, 196)(10, 210)(11, 211)(12, 197)(13, 213)(14, 198)(15, 215)(16, 200)(17, 201)(18, 218)(19, 219)(20, 204)(21, 221)(22, 206)(23, 223)(24, 208)(25, 209)(26, 226)(27, 227)(28, 212)(29, 229)(30, 214)(31, 231)(32, 216)(33, 217)(34, 234)(35, 235)(36, 220)(37, 237)(38, 222)(39, 239)(40, 224)(41, 225)(42, 242)(43, 243)(44, 228)(45, 245)(46, 230)(47, 247)(48, 232)(49, 233)(50, 250)(51, 251)(52, 236)(53, 253)(54, 238)(55, 255)(56, 240)(57, 241)(58, 258)(59, 259)(60, 244)(61, 261)(62, 246)(63, 263)(64, 248)(65, 249)(66, 266)(67, 267)(68, 252)(69, 269)(70, 254)(71, 271)(72, 256)(73, 257)(74, 274)(75, 275)(76, 260)(77, 277)(78, 262)(79, 279)(80, 264)(81, 265)(82, 282)(83, 283)(84, 268)(85, 284)(86, 270)(87, 286)(88, 272)(89, 273)(90, 276)(91, 287)(92, 288)(93, 278)(94, 280)(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) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.667
Graph:: simple bipartite
	v = 120 e = 192 f = 52
	degree seq :: [ 2^96, 8^24 ]

E11.669 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, T2 * T1^-1 * T2 * T1 * T2 * T1^3 * T2 * T1, (T1^3 * T2 * T1)^2, T2 * T1^6 * T2 * T1^-6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 68, 85, 79, 61, 32, 54, 73, 63, 36, 57, 75, 91, 84, 67, 44, 22, 10, 4)(3, 7, 15, 31, 59, 77, 86, 76, 52, 26, 12, 25, 49, 42, 21, 41, 65, 82, 89, 70, 46, 37, 18, 8)(6, 13, 27, 53, 43, 66, 83, 92, 72, 48, 24, 47, 40, 20, 9, 19, 38, 64, 81, 87, 69, 58, 30, 14)(16, 33, 50, 29, 56, 71, 90, 95, 94, 78, 60, 39, 55, 28, 17, 35, 51, 74, 88, 96, 93, 80, 62, 34)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 86)(70, 88)(72, 91)(76, 90)(77, 93)(82, 94)(83, 85)(84, 89)(87, 95)(92, 96)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.670
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 48 f = 24
	degree seq :: [ 24^4 ]

E11.670 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|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, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 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, 93, 91, 95)(90, 94, 92, 96)
	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) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E11.669
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 48 f = 4
	degree seq :: [ 4^24 ]

E11.671 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|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^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 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, 189)(186, 191)(187, 190)(188, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E11.675
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 96 f = 4
	degree seq :: [ 2^48, 4^24 ]

E11.672 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ F^2, T1^4, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, (T2^-1 * T1)^4, (T2^-3 * T1)^2, T2^-2 * T1 * T2^7 * T1 * T2^-3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 64, 80, 88, 72, 56, 39, 28, 42, 19, 41, 58, 74, 90, 84, 68, 52, 32, 14, 5)(2, 7, 17, 38, 57, 73, 89, 78, 62, 46, 23, 11, 26, 35, 31, 51, 67, 83, 92, 76, 60, 44, 20, 8)(4, 12, 27, 49, 65, 81, 94, 79, 63, 47, 25, 34, 30, 13, 29, 50, 66, 82, 93, 77, 61, 45, 22, 9)(6, 15, 33, 53, 69, 85, 95, 87, 71, 55, 37, 18, 40, 21, 43, 59, 75, 91, 96, 86, 70, 54, 36, 16)(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, 187, 174)(162, 168, 163, 167)(164, 178, 183, 169)(172, 186, 175, 181)(176, 185, 191, 190)(177, 182, 179, 184)(180, 188, 192, 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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E11.676
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 96 f = 48
	degree seq :: [ 4^24, 24^4 ]

E11.673 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1, (T2 * T1^4)^2, T1^-10 * T2 * T1^2 * T2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 86)(70, 88)(72, 91)(76, 90)(77, 93)(82, 94)(83, 85)(84, 89)(87, 95)(92, 96)(97, 98, 101, 107, 119, 141, 164, 181, 175, 157, 128, 150, 169, 159, 132, 153, 171, 187, 180, 163, 140, 118, 106, 100)(99, 103, 111, 127, 155, 173, 182, 172, 148, 122, 108, 121, 145, 138, 117, 137, 161, 178, 185, 166, 142, 133, 114, 104)(102, 109, 123, 149, 139, 162, 179, 188, 168, 144, 120, 143, 136, 116, 105, 115, 134, 160, 177, 183, 165, 154, 126, 110)(112, 129, 146, 125, 152, 167, 186, 191, 190, 174, 156, 135, 151, 124, 113, 131, 147, 170, 184, 192, 189, 176, 158, 130)
	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 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E11.674
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 24
	degree seq :: [ 2^48, 24^4 ]

E11.674 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|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^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * 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, 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, 189)(90, 191)(91, 190)(92, 192)(93, 185)(94, 187)(95, 186)(96, 188)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.673
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 52
	degree seq :: [ 8^24 ]

E11.675 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ F^2, T1^4, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, (T2^-1 * T1)^4, (T2^-3 * T1)^2, T2^-2 * T1 * T2^7 * T1 * T2^-3 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 24, 120, 48, 144, 64, 160, 80, 176, 88, 184, 72, 168, 56, 152, 39, 135, 28, 124, 42, 138, 19, 115, 41, 137, 58, 154, 74, 170, 90, 186, 84, 180, 68, 164, 52, 148, 32, 128, 14, 110, 5, 101)(2, 98, 7, 103, 17, 113, 38, 134, 57, 153, 73, 169, 89, 185, 78, 174, 62, 158, 46, 142, 23, 119, 11, 107, 26, 122, 35, 131, 31, 127, 51, 147, 67, 163, 83, 179, 92, 188, 76, 172, 60, 156, 44, 140, 20, 116, 8, 104)(4, 100, 12, 108, 27, 123, 49, 145, 65, 161, 81, 177, 94, 190, 79, 175, 63, 159, 47, 143, 25, 121, 34, 130, 30, 126, 13, 109, 29, 125, 50, 146, 66, 162, 82, 178, 93, 189, 77, 173, 61, 157, 45, 141, 22, 118, 9, 105)(6, 102, 15, 111, 33, 129, 53, 149, 69, 165, 85, 181, 95, 191, 87, 183, 71, 167, 55, 151, 37, 133, 18, 114, 40, 136, 21, 117, 43, 139, 59, 155, 75, 171, 91, 187, 96, 192, 86, 182, 70, 166, 54, 150, 36, 132, 16, 112)
	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, 186)(77, 187)(78, 160)(79, 181)(80, 185)(81, 182)(82, 183)(83, 184)(84, 188)(85, 172)(86, 179)(87, 169)(88, 177)(89, 191)(90, 175)(91, 174)(92, 192)(93, 180)(94, 176)(95, 190)(96, 189)
	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 E11.671
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 96 f = 72
	degree seq :: [ 48^4 ]

E11.676 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1, (T2 * T1^4)^2, T1^-10 * T2 * T1^2 * T2 ]
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, 86, 182)(70, 166, 88, 184)(72, 168, 91, 187)(76, 172, 90, 186)(77, 173, 93, 189)(82, 178, 94, 190)(83, 179, 85, 181)(84, 180, 89, 185)(87, 183, 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, 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, 181)(69, 154)(70, 142)(71, 186)(72, 144)(73, 159)(74, 184)(75, 187)(76, 148)(77, 182)(78, 156)(79, 157)(80, 158)(81, 183)(82, 185)(83, 188)(84, 163)(85, 175)(86, 172)(87, 165)(88, 192)(89, 166)(90, 191)(91, 180)(92, 168)(93, 176)(94, 174)(95, 190)(96, 189)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E11.672
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 28
	degree seq :: [ 4^48 ]

E11.677 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, Y2^-1 * Y1 * Y2^-1 * R * Y2^2 * R * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^24 ]
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, 93, 189)(90, 186, 95, 191)(91, 187, 94, 190)(92, 188, 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, 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, 285)(90, 287)(91, 286)(92, 288)(93, 281)(94, 283)(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) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.680
Graph:: bipartite
	v = 72 e = 192 f = 100
	degree seq :: [ 4^48, 8^24 ]

E11.678 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y3^-1 * Y1^-1)^2, R * Y2 * R * Y3, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^4, Y2 * Y1 * Y2 * Y1^-3, Y2^2 * Y1^2 * Y2^-2 * Y1^-2, Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^4, Y1 * Y2^10 * Y1^-1 * Y2^-2 ]
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, 91, 187, 78, 174)(66, 162, 72, 168, 67, 163, 71, 167)(68, 164, 82, 178, 87, 183, 73, 169)(76, 172, 90, 186, 79, 175, 85, 181)(80, 176, 89, 185, 95, 191, 94, 190)(81, 177, 86, 182, 83, 179, 88, 184)(84, 180, 92, 188, 96, 192, 93, 189)(193, 289, 195, 291, 202, 298, 216, 312, 240, 336, 256, 352, 272, 368, 280, 376, 264, 360, 248, 344, 231, 327, 220, 316, 234, 330, 211, 307, 233, 329, 250, 346, 266, 362, 282, 378, 276, 372, 260, 356, 244, 340, 224, 320, 206, 302, 197, 293)(194, 290, 199, 295, 209, 305, 230, 326, 249, 345, 265, 361, 281, 377, 270, 366, 254, 350, 238, 334, 215, 311, 203, 299, 218, 314, 227, 323, 223, 319, 243, 339, 259, 355, 275, 371, 284, 380, 268, 364, 252, 348, 236, 332, 212, 308, 200, 296)(196, 292, 204, 300, 219, 315, 241, 337, 257, 353, 273, 369, 286, 382, 271, 367, 255, 351, 239, 335, 217, 313, 226, 322, 222, 318, 205, 301, 221, 317, 242, 338, 258, 354, 274, 370, 285, 381, 269, 365, 253, 349, 237, 333, 214, 310, 201, 297)(198, 294, 207, 303, 225, 321, 245, 341, 261, 357, 277, 373, 287, 383, 279, 375, 263, 359, 247, 343, 229, 325, 210, 306, 232, 328, 213, 309, 235, 331, 251, 347, 267, 363, 283, 379, 288, 384, 278, 374, 262, 358, 246, 342, 228, 324, 208, 304)
	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, 277)(70, 246)(71, 247)(72, 248)(73, 281)(74, 282)(75, 283)(76, 252)(77, 253)(78, 254)(79, 255)(80, 280)(81, 286)(82, 285)(83, 284)(84, 260)(85, 287)(86, 262)(87, 263)(88, 264)(89, 270)(90, 276)(91, 288)(92, 268)(93, 269)(94, 271)(95, 279)(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) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E11.679
Graph:: bipartite
	v = 28 e = 192 f = 144
	degree seq :: [ 8^24, 48^4 ]

E11.679 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3^3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y2 * Y3^10 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 217, 313)(206, 302, 221, 317)(207, 303, 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, 277, 373)(268, 364, 281, 377)(270, 366, 283, 379)(271, 367, 282, 378)(272, 368, 280, 376)(274, 370, 279, 375)(275, 371, 278, 374)(276, 372, 284, 380)(285, 381, 288, 384)(286, 382, 287, 383)
	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, 280)(73, 281)(74, 282)(75, 283)(76, 250)(77, 251)(78, 253)(79, 254)(80, 278)(81, 285)(82, 284)(83, 286)(84, 259)(85, 260)(86, 262)(87, 263)(88, 270)(89, 287)(90, 276)(91, 288)(92, 268)(93, 269)(94, 271)(95, 277)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.678
Graph:: simple bipartite
	v = 144 e = 192 f = 28
	degree seq :: [ 2^96, 4^48 ]

E11.680 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3)^4, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-1, Y3 * Y1^6 * Y3 * Y1^-6, Y1^24 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 45, 141, 68, 164, 85, 181, 79, 175, 61, 157, 32, 128, 54, 150, 73, 169, 63, 159, 36, 132, 57, 153, 75, 171, 91, 187, 84, 180, 67, 163, 44, 140, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 59, 155, 77, 173, 86, 182, 76, 172, 52, 148, 26, 122, 12, 108, 25, 121, 49, 145, 42, 138, 21, 117, 41, 137, 65, 161, 82, 178, 89, 185, 70, 166, 46, 142, 37, 133, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 53, 149, 43, 139, 66, 162, 83, 179, 92, 188, 72, 168, 48, 144, 24, 120, 47, 143, 40, 136, 20, 116, 9, 105, 19, 115, 38, 134, 64, 160, 81, 177, 87, 183, 69, 165, 58, 154, 30, 126, 14, 110)(16, 112, 33, 129, 50, 146, 29, 125, 56, 152, 71, 167, 90, 186, 95, 191, 94, 190, 78, 174, 60, 156, 39, 135, 55, 151, 28, 124, 17, 113, 35, 131, 51, 147, 74, 170, 88, 184, 96, 192, 93, 189, 80, 176, 62, 158, 34, 130)(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, 278)(69, 237)(70, 280)(71, 240)(72, 283)(73, 241)(74, 250)(75, 244)(76, 282)(77, 285)(78, 258)(79, 257)(80, 256)(81, 259)(82, 286)(83, 277)(84, 281)(85, 275)(86, 260)(87, 287)(88, 262)(89, 276)(90, 268)(91, 264)(92, 288)(93, 269)(94, 274)(95, 279)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E11.677
Graph:: simple bipartite
	v = 100 e = 192 f = 72
	degree seq :: [ 2^96, 48^4 ]

E11.681 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, (Y2^4 * Y1)^2, Y2^2 * Y1 * Y2^-10 * Y1, (Y2^-1 * R * Y2^-5)^2 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 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, 85, 181)(76, 172, 89, 185)(78, 174, 91, 187)(79, 175, 90, 186)(80, 176, 88, 184)(82, 178, 87, 183)(83, 179, 86, 182)(84, 180, 92, 188)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291, 200, 296, 210, 306, 229, 325, 255, 351, 272, 368, 278, 374, 262, 358, 241, 337, 217, 313, 240, 336, 261, 357, 248, 344, 221, 317, 247, 343, 266, 362, 282, 378, 276, 372, 259, 355, 236, 332, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 243, 339, 264, 360, 280, 376, 270, 366, 253, 349, 227, 323, 209, 305, 226, 322, 252, 348, 234, 330, 213, 309, 233, 329, 257, 353, 274, 370, 284, 380, 268, 364, 250, 346, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 223, 319, 238, 334, 235, 331, 258, 354, 275, 371, 286, 382, 271, 367, 254, 350, 228, 324, 244, 340, 232, 328, 212, 308, 201, 297, 211, 307, 231, 327, 256, 352, 273, 369, 285, 381, 269, 365, 251, 347, 225, 321, 208, 304)(203, 299, 215, 311, 237, 333, 224, 320, 249, 345, 267, 363, 283, 379, 288, 384, 279, 375, 263, 359, 242, 338, 230, 326, 246, 342, 220, 316, 205, 301, 219, 315, 245, 341, 265, 361, 281, 377, 287, 383, 277, 373, 260, 356, 239, 335, 216, 312)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 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, 277)(73, 251)(74, 253)(75, 254)(76, 281)(77, 255)(78, 283)(79, 282)(80, 280)(81, 259)(82, 279)(83, 278)(84, 284)(85, 264)(86, 275)(87, 274)(88, 272)(89, 268)(90, 271)(91, 270)(92, 276)(93, 288)(94, 287)(95, 286)(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, 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 E11.682
Graph:: bipartite
	v = 52 e = 192 f = 120
	degree seq :: [ 4^48, 48^4 ]

E11.682 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 32>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^2 * Y1^2 * Y3^-2, Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1, (Y3^-3 * Y1)^2, (Y3 * Y1^-1)^4, Y3 * Y1^-1 * Y3^-11 * Y1^-1, (Y3 * Y2^-1)^24 ]
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, 91, 187, 78, 174)(66, 162, 72, 168, 67, 163, 71, 167)(68, 164, 82, 178, 87, 183, 73, 169)(76, 172, 90, 186, 79, 175, 85, 181)(80, 176, 89, 185, 95, 191, 94, 190)(81, 177, 86, 182, 83, 179, 88, 184)(84, 180, 92, 188, 96, 192, 93, 189)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 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, 277)(70, 246)(71, 247)(72, 248)(73, 281)(74, 282)(75, 283)(76, 252)(77, 253)(78, 254)(79, 255)(80, 280)(81, 286)(82, 285)(83, 284)(84, 260)(85, 287)(86, 262)(87, 263)(88, 264)(89, 270)(90, 276)(91, 288)(92, 268)(93, 269)(94, 271)(95, 279)(96, 278)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E11.681
Graph:: simple bipartite
	v = 120 e = 192 f = 52
	degree seq :: [ 2^96, 8^24 ]

E11.683 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: halfedge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, (Y1 * Y2 * Y1 * Y3)^2, (Y2 * Y1 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 121)(3, 127, 7, 123)(4, 129, 9, 124)(5, 131, 11, 125)(6, 133, 13, 126)(8, 137, 17, 128)(10, 141, 21, 130)(12, 144, 24, 132)(14, 148, 28, 134)(15, 149, 29, 135)(16, 146, 26, 136)(18, 154, 34, 138)(19, 143, 23, 139)(20, 156, 36, 140)(22, 160, 40, 142)(25, 164, 44, 145)(27, 166, 46, 147)(30, 171, 51, 150)(31, 155, 35, 151)(32, 170, 50, 152)(33, 173, 53, 153)(37, 180, 60, 157)(38, 181, 61, 158)(39, 178, 58, 159)(41, 184, 64, 161)(42, 165, 45, 162)(43, 186, 66, 163)(47, 191, 71, 167)(48, 192, 72, 168)(49, 193, 73, 169)(52, 196, 76, 172)(54, 182, 62, 174)(55, 199, 79, 175)(56, 197, 77, 176)(57, 200, 80, 177)(59, 201, 81, 179)(63, 204, 84, 183)(65, 206, 86, 185)(67, 209, 89, 187)(68, 207, 87, 188)(69, 210, 90, 189)(70, 211, 91, 190)(74, 214, 94, 194)(75, 215, 95, 195)(78, 203, 83, 198)(82, 222, 102, 202)(85, 225, 105, 205)(88, 212, 92, 208)(93, 231, 111, 213)(96, 220, 100, 216)(97, 232, 112, 217)(98, 230, 110, 218)(99, 233, 113, 219)(101, 234, 114, 221)(103, 227, 107, 223)(104, 235, 115, 224)(106, 236, 116, 226)(108, 237, 117, 228)(109, 238, 118, 229)(119, 240, 120, 239)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 31)(17, 32)(20, 37)(21, 38)(23, 42)(24, 39)(27, 47)(28, 48)(29, 49)(30, 52)(33, 54)(34, 55)(35, 57)(36, 58)(40, 63)(41, 65)(43, 62)(44, 67)(45, 69)(46, 50)(51, 56)(53, 77)(59, 82)(60, 75)(61, 83)(64, 68)(66, 87)(70, 74)(71, 85)(72, 92)(73, 93)(76, 96)(78, 98)(79, 81)(80, 99)(84, 104)(86, 100)(88, 107)(89, 91)(90, 108)(94, 97)(95, 112)(101, 103)(102, 106)(105, 116)(109, 110)(111, 119)(113, 114)(115, 120)(117, 118)(121, 124)(122, 126)(123, 128)(125, 132)(127, 136)(129, 140)(130, 138)(131, 143)(133, 147)(134, 145)(135, 150)(137, 153)(139, 155)(141, 159)(142, 161)(144, 163)(146, 165)(148, 152)(149, 170)(151, 172)(154, 176)(156, 179)(157, 177)(158, 182)(160, 178)(162, 185)(164, 188)(166, 190)(167, 189)(168, 174)(169, 194)(171, 195)(173, 198)(175, 180)(181, 199)(183, 202)(184, 205)(186, 208)(187, 191)(192, 209)(193, 197)(196, 217)(200, 220)(201, 221)(203, 223)(204, 207)(206, 226)(210, 216)(211, 229)(212, 230)(213, 218)(214, 228)(215, 233)(219, 222)(224, 227)(225, 237)(231, 232)(234, 239)(235, 236)(238, 240)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E11.684
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 60 e = 120 f = 40
	degree seq :: [ 4^60 ]

E11.684 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: halfedge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y3)^2, (Y3 * Y2)^3, Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3, (Y1^-1 * Y2 * Y1^-1 * Y3)^2, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 125, 5, 121)(3, 128, 8, 130, 10, 123)(4, 131, 11, 133, 13, 124)(6, 136, 16, 138, 18, 126)(7, 139, 19, 141, 21, 127)(9, 144, 24, 140, 20, 129)(12, 150, 30, 151, 31, 132)(14, 153, 33, 154, 34, 134)(15, 155, 35, 157, 37, 135)(17, 160, 40, 156, 36, 137)(22, 166, 46, 168, 48, 142)(23, 169, 49, 159, 39, 143)(25, 172, 52, 173, 53, 145)(26, 165, 45, 174, 54, 146)(27, 175, 55, 164, 44, 147)(28, 177, 57, 179, 59, 148)(29, 180, 60, 181, 61, 149)(32, 184, 64, 185, 65, 152)(38, 188, 68, 190, 70, 158)(41, 191, 71, 192, 72, 161)(42, 187, 67, 193, 73, 162)(43, 194, 74, 186, 66, 163)(47, 178, 58, 176, 56, 167)(50, 199, 79, 200, 80, 170)(51, 201, 81, 202, 82, 171)(62, 211, 91, 212, 92, 182)(63, 213, 93, 210, 90, 183)(69, 196, 76, 195, 75, 189)(77, 206, 86, 208, 88, 197)(78, 220, 100, 205, 85, 198)(83, 224, 104, 225, 105, 203)(84, 226, 106, 223, 103, 204)(87, 215, 95, 216, 96, 207)(89, 219, 99, 214, 94, 209)(97, 222, 102, 233, 113, 217)(98, 227, 107, 221, 101, 218)(108, 230, 110, 229, 109, 228)(111, 234, 114, 232, 112, 231)(115, 237, 117, 236, 116, 235)(118, 240, 120, 239, 119, 238)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 25)(10, 26)(11, 28)(13, 23)(15, 36)(16, 38)(17, 41)(18, 42)(19, 44)(21, 39)(24, 50)(27, 56)(29, 53)(30, 62)(31, 51)(32, 47)(33, 65)(34, 61)(35, 66)(37, 49)(40, 63)(43, 75)(45, 72)(46, 69)(48, 77)(52, 83)(54, 82)(55, 85)(57, 87)(58, 84)(59, 88)(60, 90)(64, 94)(67, 92)(68, 95)(70, 78)(71, 97)(73, 80)(74, 99)(76, 98)(79, 101)(81, 103)(86, 105)(89, 109)(91, 108)(93, 112)(96, 111)(100, 113)(102, 116)(104, 115)(106, 119)(107, 118)(110, 117)(114, 120)(121, 124)(122, 127)(123, 129)(125, 135)(126, 137)(128, 143)(130, 147)(131, 149)(132, 145)(133, 152)(134, 150)(136, 159)(138, 163)(139, 165)(140, 161)(141, 166)(142, 167)(144, 171)(146, 172)(148, 178)(151, 183)(153, 169)(154, 177)(155, 187)(156, 182)(157, 188)(158, 189)(160, 170)(162, 191)(164, 196)(168, 198)(173, 204)(174, 199)(175, 206)(176, 203)(179, 209)(180, 201)(181, 211)(184, 197)(185, 215)(186, 216)(190, 214)(192, 218)(193, 213)(194, 220)(195, 217)(200, 222)(202, 224)(205, 227)(207, 228)(208, 226)(210, 230)(212, 231)(219, 234)(221, 235)(223, 237)(225, 238)(229, 239)(232, 236)(233, 240)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E11.683
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 40 e = 120 f = 60
	degree seq :: [ 6^40 ]

E11.685 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: edge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y3 * Y1 * Y3 * Y2)^2, (Y1 * Y3 * Y2)^3 ]
Map:: polytopal
	R = (1, 121, 4, 124)(2, 122, 6, 126)(3, 123, 8, 128)(5, 125, 12, 132)(7, 127, 15, 135)(9, 129, 19, 139)(10, 130, 21, 141)(11, 131, 22, 142)(13, 133, 26, 146)(14, 134, 28, 148)(16, 136, 32, 152)(17, 137, 34, 154)(18, 138, 36, 156)(20, 140, 38, 158)(23, 143, 42, 162)(24, 144, 44, 164)(25, 145, 46, 166)(27, 147, 31, 151)(29, 149, 50, 170)(30, 150, 51, 171)(33, 153, 54, 174)(35, 155, 56, 176)(37, 157, 59, 179)(39, 159, 62, 182)(40, 160, 63, 183)(41, 161, 64, 184)(43, 163, 49, 169)(45, 165, 66, 186)(47, 167, 69, 189)(48, 168, 53, 173)(52, 172, 72, 192)(55, 175, 75, 195)(57, 177, 78, 198)(58, 178, 79, 199)(60, 180, 81, 201)(61, 181, 82, 202)(65, 185, 71, 191)(67, 187, 87, 207)(68, 188, 88, 208)(70, 190, 90, 210)(73, 193, 94, 214)(74, 194, 95, 215)(76, 196, 97, 217)(77, 197, 98, 218)(80, 200, 101, 221)(83, 203, 103, 223)(84, 204, 104, 224)(85, 205, 93, 213)(86, 206, 105, 225)(89, 209, 108, 228)(91, 211, 109, 229)(92, 212, 106, 226)(96, 216, 111, 231)(99, 219, 102, 222)(100, 220, 112, 232)(107, 227, 115, 235)(110, 230, 117, 237)(113, 233, 118, 238)(114, 234, 119, 239)(116, 236, 120, 240)(241, 242)(243, 247)(244, 249)(245, 251)(246, 253)(248, 256)(250, 260)(252, 263)(254, 267)(255, 269)(257, 273)(258, 275)(259, 277)(261, 268)(262, 280)(264, 283)(265, 285)(266, 287)(270, 276)(271, 292)(272, 293)(274, 291)(278, 300)(279, 301)(281, 286)(282, 302)(284, 304)(288, 310)(289, 297)(290, 311)(294, 307)(295, 314)(296, 316)(298, 313)(299, 320)(303, 315)(305, 324)(306, 325)(308, 323)(309, 329)(312, 332)(317, 319)(318, 338)(321, 342)(322, 340)(326, 328)(327, 345)(330, 347)(331, 336)(333, 334)(335, 350)(337, 343)(339, 349)(341, 353)(344, 354)(346, 351)(348, 356)(352, 357)(355, 359)(358, 360)(361, 363)(362, 365)(364, 370)(366, 374)(367, 371)(368, 377)(369, 378)(372, 384)(373, 385)(375, 390)(376, 391)(379, 392)(380, 395)(381, 399)(382, 401)(383, 398)(386, 402)(387, 405)(388, 408)(389, 409)(393, 412)(394, 415)(396, 417)(397, 418)(400, 414)(403, 420)(404, 425)(406, 427)(407, 428)(410, 423)(411, 419)(413, 433)(416, 437)(421, 430)(422, 443)(424, 429)(426, 446)(431, 451)(432, 453)(434, 440)(435, 456)(436, 442)(438, 459)(439, 460)(441, 457)(444, 449)(445, 450)(447, 466)(448, 467)(452, 455)(454, 470)(458, 461)(462, 464)(463, 474)(465, 468)(469, 473)(471, 476)(472, 475)(477, 478)(479, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E11.688
Graph:: simple bipartite
	v = 180 e = 240 f = 40
	degree seq :: [ 2^120, 4^60 ]

E11.686 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: edge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 ]
Map:: polytopal
	R = (1, 121, 4, 124, 5, 125)(2, 122, 7, 127, 8, 128)(3, 123, 9, 129, 10, 130)(6, 126, 15, 135, 16, 136)(11, 131, 21, 141, 22, 142)(12, 132, 23, 143, 24, 144)(13, 133, 25, 145, 26, 146)(14, 134, 27, 147, 28, 148)(17, 137, 29, 149, 30, 150)(18, 138, 31, 151, 32, 152)(19, 139, 33, 153, 34, 154)(20, 140, 35, 155, 36, 156)(37, 157, 53, 173, 54, 174)(38, 158, 55, 175, 56, 176)(39, 159, 57, 177, 58, 178)(40, 160, 59, 179, 60, 180)(41, 161, 61, 181, 62, 182)(42, 162, 63, 183, 64, 184)(43, 163, 65, 185, 66, 186)(44, 164, 67, 187, 68, 188)(45, 165, 69, 189, 70, 190)(46, 166, 71, 191, 72, 192)(47, 167, 73, 193, 74, 194)(48, 168, 75, 195, 76, 196)(49, 169, 77, 197, 78, 198)(50, 170, 79, 199, 80, 200)(51, 171, 81, 201, 82, 202)(52, 172, 83, 203, 84, 204)(85, 205, 101, 221, 90, 210)(86, 206, 89, 209, 102, 222)(87, 207, 92, 212, 103, 223)(88, 208, 104, 224, 91, 211)(93, 213, 105, 225, 98, 218)(94, 214, 97, 217, 106, 226)(95, 215, 100, 220, 107, 227)(96, 216, 108, 228, 99, 219)(109, 229, 117, 237, 112, 232)(110, 230, 111, 231, 118, 238)(113, 233, 119, 239, 116, 236)(114, 234, 115, 235, 120, 240)(241, 242)(243, 246)(244, 251)(245, 253)(247, 257)(248, 259)(249, 260)(250, 258)(252, 256)(254, 255)(261, 277)(262, 279)(263, 280)(264, 278)(265, 281)(266, 283)(267, 284)(268, 282)(269, 285)(270, 287)(271, 288)(272, 286)(273, 289)(274, 291)(275, 292)(276, 290)(293, 325)(294, 311)(295, 310)(296, 326)(297, 327)(298, 320)(299, 317)(300, 328)(301, 315)(302, 329)(303, 330)(304, 314)(305, 324)(306, 331)(307, 332)(308, 321)(309, 333)(312, 334)(313, 335)(316, 336)(318, 337)(319, 338)(322, 339)(323, 340)(341, 349)(342, 350)(343, 351)(344, 352)(345, 353)(346, 354)(347, 355)(348, 356)(357, 359)(358, 360)(361, 363)(362, 366)(364, 372)(365, 374)(367, 378)(368, 380)(369, 379)(370, 377)(371, 376)(373, 375)(381, 398)(382, 400)(383, 399)(384, 397)(385, 402)(386, 404)(387, 403)(388, 401)(389, 406)(390, 408)(391, 407)(392, 405)(393, 410)(394, 412)(395, 411)(396, 409)(413, 446)(414, 430)(415, 431)(416, 445)(417, 448)(418, 437)(419, 440)(420, 447)(421, 434)(422, 450)(423, 449)(424, 435)(425, 441)(426, 452)(427, 451)(428, 444)(429, 454)(432, 453)(433, 456)(436, 455)(438, 458)(439, 457)(442, 460)(443, 459)(461, 470)(462, 469)(463, 472)(464, 471)(465, 474)(466, 473)(467, 476)(468, 475)(477, 480)(478, 479)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E11.687
Graph:: simple bipartite
	v = 160 e = 240 f = 60
	degree seq :: [ 2^120, 6^40 ]

E11.687 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 3})
Quotient :: loop^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y3 * Y1 * Y3 * Y2)^2, (Y1 * Y3 * Y2)^3 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364)(2, 122, 242, 362, 6, 126, 246, 366)(3, 123, 243, 363, 8, 128, 248, 368)(5, 125, 245, 365, 12, 132, 252, 372)(7, 127, 247, 367, 15, 135, 255, 375)(9, 129, 249, 369, 19, 139, 259, 379)(10, 130, 250, 370, 21, 141, 261, 381)(11, 131, 251, 371, 22, 142, 262, 382)(13, 133, 253, 373, 26, 146, 266, 386)(14, 134, 254, 374, 28, 148, 268, 388)(16, 136, 256, 376, 32, 152, 272, 392)(17, 137, 257, 377, 34, 154, 274, 394)(18, 138, 258, 378, 36, 156, 276, 396)(20, 140, 260, 380, 38, 158, 278, 398)(23, 143, 263, 383, 42, 162, 282, 402)(24, 144, 264, 384, 44, 164, 284, 404)(25, 145, 265, 385, 46, 166, 286, 406)(27, 147, 267, 387, 31, 151, 271, 391)(29, 149, 269, 389, 50, 170, 290, 410)(30, 150, 270, 390, 51, 171, 291, 411)(33, 153, 273, 393, 54, 174, 294, 414)(35, 155, 275, 395, 56, 176, 296, 416)(37, 157, 277, 397, 59, 179, 299, 419)(39, 159, 279, 399, 62, 182, 302, 422)(40, 160, 280, 400, 63, 183, 303, 423)(41, 161, 281, 401, 64, 184, 304, 424)(43, 163, 283, 403, 49, 169, 289, 409)(45, 165, 285, 405, 66, 186, 306, 426)(47, 167, 287, 407, 69, 189, 309, 429)(48, 168, 288, 408, 53, 173, 293, 413)(52, 172, 292, 412, 72, 192, 312, 432)(55, 175, 295, 415, 75, 195, 315, 435)(57, 177, 297, 417, 78, 198, 318, 438)(58, 178, 298, 418, 79, 199, 319, 439)(60, 180, 300, 420, 81, 201, 321, 441)(61, 181, 301, 421, 82, 202, 322, 442)(65, 185, 305, 425, 71, 191, 311, 431)(67, 187, 307, 427, 87, 207, 327, 447)(68, 188, 308, 428, 88, 208, 328, 448)(70, 190, 310, 430, 90, 210, 330, 450)(73, 193, 313, 433, 94, 214, 334, 454)(74, 194, 314, 434, 95, 215, 335, 455)(76, 196, 316, 436, 97, 217, 337, 457)(77, 197, 317, 437, 98, 218, 338, 458)(80, 200, 320, 440, 101, 221, 341, 461)(83, 203, 323, 443, 103, 223, 343, 463)(84, 204, 324, 444, 104, 224, 344, 464)(85, 205, 325, 445, 93, 213, 333, 453)(86, 206, 326, 446, 105, 225, 345, 465)(89, 209, 329, 449, 108, 228, 348, 468)(91, 211, 331, 451, 109, 229, 349, 469)(92, 212, 332, 452, 106, 226, 346, 466)(96, 216, 336, 456, 111, 231, 351, 471)(99, 219, 339, 459, 102, 222, 342, 462)(100, 220, 340, 460, 112, 232, 352, 472)(107, 227, 347, 467, 115, 235, 355, 475)(110, 230, 350, 470, 117, 237, 357, 477)(113, 233, 353, 473, 118, 238, 358, 478)(114, 234, 354, 474, 119, 239, 359, 479)(116, 236, 356, 476, 120, 240, 360, 480)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 136)(9, 124)(10, 140)(11, 125)(12, 143)(13, 126)(14, 147)(15, 149)(16, 128)(17, 153)(18, 155)(19, 157)(20, 130)(21, 148)(22, 160)(23, 132)(24, 163)(25, 165)(26, 167)(27, 134)(28, 141)(29, 135)(30, 156)(31, 172)(32, 173)(33, 137)(34, 171)(35, 138)(36, 150)(37, 139)(38, 180)(39, 181)(40, 142)(41, 166)(42, 182)(43, 144)(44, 184)(45, 145)(46, 161)(47, 146)(48, 190)(49, 177)(50, 191)(51, 154)(52, 151)(53, 152)(54, 187)(55, 194)(56, 196)(57, 169)(58, 193)(59, 200)(60, 158)(61, 159)(62, 162)(63, 195)(64, 164)(65, 204)(66, 205)(67, 174)(68, 203)(69, 209)(70, 168)(71, 170)(72, 212)(73, 178)(74, 175)(75, 183)(76, 176)(77, 199)(78, 218)(79, 197)(80, 179)(81, 222)(82, 220)(83, 188)(84, 185)(85, 186)(86, 208)(87, 225)(88, 206)(89, 189)(90, 227)(91, 216)(92, 192)(93, 214)(94, 213)(95, 230)(96, 211)(97, 223)(98, 198)(99, 229)(100, 202)(101, 233)(102, 201)(103, 217)(104, 234)(105, 207)(106, 231)(107, 210)(108, 236)(109, 219)(110, 215)(111, 226)(112, 237)(113, 221)(114, 224)(115, 239)(116, 228)(117, 232)(118, 240)(119, 235)(120, 238)(241, 363)(242, 365)(243, 361)(244, 370)(245, 362)(246, 374)(247, 371)(248, 377)(249, 378)(250, 364)(251, 367)(252, 384)(253, 385)(254, 366)(255, 390)(256, 391)(257, 368)(258, 369)(259, 392)(260, 395)(261, 399)(262, 401)(263, 398)(264, 372)(265, 373)(266, 402)(267, 405)(268, 408)(269, 409)(270, 375)(271, 376)(272, 379)(273, 412)(274, 415)(275, 380)(276, 417)(277, 418)(278, 383)(279, 381)(280, 414)(281, 382)(282, 386)(283, 420)(284, 425)(285, 387)(286, 427)(287, 428)(288, 388)(289, 389)(290, 423)(291, 419)(292, 393)(293, 433)(294, 400)(295, 394)(296, 437)(297, 396)(298, 397)(299, 411)(300, 403)(301, 430)(302, 443)(303, 410)(304, 429)(305, 404)(306, 446)(307, 406)(308, 407)(309, 424)(310, 421)(311, 451)(312, 453)(313, 413)(314, 440)(315, 456)(316, 442)(317, 416)(318, 459)(319, 460)(320, 434)(321, 457)(322, 436)(323, 422)(324, 449)(325, 450)(326, 426)(327, 466)(328, 467)(329, 444)(330, 445)(331, 431)(332, 455)(333, 432)(334, 470)(335, 452)(336, 435)(337, 441)(338, 461)(339, 438)(340, 439)(341, 458)(342, 464)(343, 474)(344, 462)(345, 468)(346, 447)(347, 448)(348, 465)(349, 473)(350, 454)(351, 476)(352, 475)(353, 469)(354, 463)(355, 472)(356, 471)(357, 478)(358, 477)(359, 480)(360, 479)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.686
Transitivity :: VT+
Graph:: bipartite
	v = 60 e = 240 f = 160
	degree seq :: [ 8^60 ]

E11.688 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 3})
Quotient :: loop^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364, 5, 125, 245, 365)(2, 122, 242, 362, 7, 127, 247, 367, 8, 128, 248, 368)(3, 123, 243, 363, 9, 129, 249, 369, 10, 130, 250, 370)(6, 126, 246, 366, 15, 135, 255, 375, 16, 136, 256, 376)(11, 131, 251, 371, 21, 141, 261, 381, 22, 142, 262, 382)(12, 132, 252, 372, 23, 143, 263, 383, 24, 144, 264, 384)(13, 133, 253, 373, 25, 145, 265, 385, 26, 146, 266, 386)(14, 134, 254, 374, 27, 147, 267, 387, 28, 148, 268, 388)(17, 137, 257, 377, 29, 149, 269, 389, 30, 150, 270, 390)(18, 138, 258, 378, 31, 151, 271, 391, 32, 152, 272, 392)(19, 139, 259, 379, 33, 153, 273, 393, 34, 154, 274, 394)(20, 140, 260, 380, 35, 155, 275, 395, 36, 156, 276, 396)(37, 157, 277, 397, 53, 173, 293, 413, 54, 174, 294, 414)(38, 158, 278, 398, 55, 175, 295, 415, 56, 176, 296, 416)(39, 159, 279, 399, 57, 177, 297, 417, 58, 178, 298, 418)(40, 160, 280, 400, 59, 179, 299, 419, 60, 180, 300, 420)(41, 161, 281, 401, 61, 181, 301, 421, 62, 182, 302, 422)(42, 162, 282, 402, 63, 183, 303, 423, 64, 184, 304, 424)(43, 163, 283, 403, 65, 185, 305, 425, 66, 186, 306, 426)(44, 164, 284, 404, 67, 187, 307, 427, 68, 188, 308, 428)(45, 165, 285, 405, 69, 189, 309, 429, 70, 190, 310, 430)(46, 166, 286, 406, 71, 191, 311, 431, 72, 192, 312, 432)(47, 167, 287, 407, 73, 193, 313, 433, 74, 194, 314, 434)(48, 168, 288, 408, 75, 195, 315, 435, 76, 196, 316, 436)(49, 169, 289, 409, 77, 197, 317, 437, 78, 198, 318, 438)(50, 170, 290, 410, 79, 199, 319, 439, 80, 200, 320, 440)(51, 171, 291, 411, 81, 201, 321, 441, 82, 202, 322, 442)(52, 172, 292, 412, 83, 203, 323, 443, 84, 204, 324, 444)(85, 205, 325, 445, 101, 221, 341, 461, 90, 210, 330, 450)(86, 206, 326, 446, 89, 209, 329, 449, 102, 222, 342, 462)(87, 207, 327, 447, 92, 212, 332, 452, 103, 223, 343, 463)(88, 208, 328, 448, 104, 224, 344, 464, 91, 211, 331, 451)(93, 213, 333, 453, 105, 225, 345, 465, 98, 218, 338, 458)(94, 214, 334, 454, 97, 217, 337, 457, 106, 226, 346, 466)(95, 215, 335, 455, 100, 220, 340, 460, 107, 227, 347, 467)(96, 216, 336, 456, 108, 228, 348, 468, 99, 219, 339, 459)(109, 229, 349, 469, 117, 237, 357, 477, 112, 232, 352, 472)(110, 230, 350, 470, 111, 231, 351, 471, 118, 238, 358, 478)(113, 233, 353, 473, 119, 239, 359, 479, 116, 236, 356, 476)(114, 234, 354, 474, 115, 235, 355, 475, 120, 240, 360, 480)
	L = (1, 122)(2, 121)(3, 126)(4, 131)(5, 133)(6, 123)(7, 137)(8, 139)(9, 140)(10, 138)(11, 124)(12, 136)(13, 125)(14, 135)(15, 134)(16, 132)(17, 127)(18, 130)(19, 128)(20, 129)(21, 157)(22, 159)(23, 160)(24, 158)(25, 161)(26, 163)(27, 164)(28, 162)(29, 165)(30, 167)(31, 168)(32, 166)(33, 169)(34, 171)(35, 172)(36, 170)(37, 141)(38, 144)(39, 142)(40, 143)(41, 145)(42, 148)(43, 146)(44, 147)(45, 149)(46, 152)(47, 150)(48, 151)(49, 153)(50, 156)(51, 154)(52, 155)(53, 205)(54, 191)(55, 190)(56, 206)(57, 207)(58, 200)(59, 197)(60, 208)(61, 195)(62, 209)(63, 210)(64, 194)(65, 204)(66, 211)(67, 212)(68, 201)(69, 213)(70, 175)(71, 174)(72, 214)(73, 215)(74, 184)(75, 181)(76, 216)(77, 179)(78, 217)(79, 218)(80, 178)(81, 188)(82, 219)(83, 220)(84, 185)(85, 173)(86, 176)(87, 177)(88, 180)(89, 182)(90, 183)(91, 186)(92, 187)(93, 189)(94, 192)(95, 193)(96, 196)(97, 198)(98, 199)(99, 202)(100, 203)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 221)(110, 222)(111, 223)(112, 224)(113, 225)(114, 226)(115, 227)(116, 228)(117, 239)(118, 240)(119, 237)(120, 238)(241, 363)(242, 366)(243, 361)(244, 372)(245, 374)(246, 362)(247, 378)(248, 380)(249, 379)(250, 377)(251, 376)(252, 364)(253, 375)(254, 365)(255, 373)(256, 371)(257, 370)(258, 367)(259, 369)(260, 368)(261, 398)(262, 400)(263, 399)(264, 397)(265, 402)(266, 404)(267, 403)(268, 401)(269, 406)(270, 408)(271, 407)(272, 405)(273, 410)(274, 412)(275, 411)(276, 409)(277, 384)(278, 381)(279, 383)(280, 382)(281, 388)(282, 385)(283, 387)(284, 386)(285, 392)(286, 389)(287, 391)(288, 390)(289, 396)(290, 393)(291, 395)(292, 394)(293, 446)(294, 430)(295, 431)(296, 445)(297, 448)(298, 437)(299, 440)(300, 447)(301, 434)(302, 450)(303, 449)(304, 435)(305, 441)(306, 452)(307, 451)(308, 444)(309, 454)(310, 414)(311, 415)(312, 453)(313, 456)(314, 421)(315, 424)(316, 455)(317, 418)(318, 458)(319, 457)(320, 419)(321, 425)(322, 460)(323, 459)(324, 428)(325, 416)(326, 413)(327, 420)(328, 417)(329, 423)(330, 422)(331, 427)(332, 426)(333, 432)(334, 429)(335, 436)(336, 433)(337, 439)(338, 438)(339, 443)(340, 442)(341, 470)(342, 469)(343, 472)(344, 471)(345, 474)(346, 473)(347, 476)(348, 475)(349, 462)(350, 461)(351, 464)(352, 463)(353, 466)(354, 465)(355, 468)(356, 467)(357, 480)(358, 479)(359, 478)(360, 477)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E11.685
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 240 f = 180
	degree seq :: [ 12^40 ]

E11.689 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3^-1)^3, (Y3 * Y1)^3, Y3^6, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1, Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2, (Y2 * Y1 * Y3^-1 * Y2 * Y1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 16, 136)(7, 127, 19, 139)(8, 128, 21, 141)(10, 130, 26, 146)(11, 131, 28, 148)(13, 133, 32, 152)(15, 135, 36, 156)(17, 137, 40, 160)(18, 138, 42, 162)(20, 140, 46, 166)(22, 142, 50, 170)(23, 143, 51, 171)(24, 144, 54, 174)(25, 145, 56, 176)(27, 147, 60, 180)(29, 149, 64, 184)(30, 150, 65, 185)(31, 151, 45, 165)(33, 153, 47, 167)(34, 154, 68, 188)(35, 155, 49, 169)(37, 157, 71, 191)(38, 158, 74, 194)(39, 159, 76, 196)(41, 161, 80, 200)(43, 163, 82, 202)(44, 164, 83, 203)(48, 168, 86, 206)(52, 172, 78, 198)(53, 173, 69, 189)(55, 175, 96, 216)(57, 177, 100, 220)(58, 178, 72, 192)(59, 179, 95, 215)(61, 181, 97, 217)(62, 182, 103, 223)(63, 183, 99, 219)(66, 186, 106, 226)(67, 187, 107, 227)(70, 190, 111, 231)(73, 193, 87, 207)(75, 195, 108, 228)(77, 197, 94, 214)(79, 199, 102, 222)(81, 201, 114, 234)(84, 204, 92, 212)(85, 205, 98, 218)(88, 208, 90, 210)(89, 209, 115, 235)(91, 211, 110, 230)(93, 213, 109, 229)(101, 221, 105, 225)(104, 224, 113, 233)(112, 232, 118, 238)(116, 236, 119, 239)(117, 237, 120, 240)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 258, 378)(248, 368, 257, 377)(249, 369, 263, 383)(252, 372, 270, 390)(253, 373, 269, 389)(254, 374, 274, 394)(255, 375, 267, 387)(256, 376, 277, 397)(259, 379, 284, 404)(260, 380, 283, 403)(261, 381, 288, 408)(262, 382, 281, 401)(264, 384, 293, 413)(265, 385, 292, 412)(266, 386, 298, 418)(268, 388, 302, 422)(271, 391, 306, 426)(272, 392, 307, 427)(273, 393, 301, 421)(275, 395, 309, 429)(276, 396, 310, 430)(278, 398, 313, 433)(279, 399, 312, 432)(280, 400, 318, 438)(282, 402, 303, 423)(285, 405, 324, 444)(286, 406, 325, 445)(287, 407, 321, 441)(289, 409, 327, 447)(290, 410, 328, 448)(291, 411, 329, 449)(294, 414, 334, 454)(295, 415, 333, 453)(296, 416, 338, 458)(297, 417, 332, 452)(299, 419, 341, 461)(300, 420, 342, 462)(304, 424, 344, 464)(305, 425, 331, 451)(308, 428, 348, 468)(311, 431, 352, 472)(314, 434, 340, 460)(315, 435, 353, 473)(316, 436, 347, 467)(317, 437, 346, 466)(319, 439, 350, 470)(320, 440, 335, 455)(322, 442, 349, 469)(323, 443, 345, 465)(326, 446, 336, 456)(330, 450, 356, 476)(337, 457, 358, 478)(339, 459, 359, 479)(343, 463, 360, 480)(351, 471, 357, 477)(354, 474, 355, 475)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 257)(7, 260)(8, 242)(9, 264)(10, 267)(11, 243)(12, 261)(13, 273)(14, 275)(15, 245)(16, 278)(17, 281)(18, 246)(19, 254)(20, 287)(21, 289)(22, 248)(23, 292)(24, 295)(25, 249)(26, 296)(27, 301)(28, 303)(29, 251)(30, 306)(31, 252)(32, 285)(33, 255)(34, 284)(35, 290)(36, 286)(37, 312)(38, 315)(39, 256)(40, 316)(41, 321)(42, 302)(43, 258)(44, 324)(45, 259)(46, 271)(47, 262)(48, 270)(49, 276)(50, 272)(51, 330)(52, 332)(53, 263)(54, 268)(55, 337)(56, 339)(57, 265)(58, 341)(59, 266)(60, 335)(61, 269)(62, 334)(63, 340)(64, 336)(65, 345)(66, 325)(67, 328)(68, 349)(69, 274)(70, 327)(71, 351)(72, 346)(73, 277)(74, 282)(75, 354)(76, 343)(77, 279)(78, 350)(79, 280)(80, 342)(81, 283)(82, 348)(83, 331)(84, 307)(85, 310)(86, 344)(87, 288)(88, 309)(89, 305)(90, 357)(91, 291)(92, 358)(93, 293)(94, 320)(95, 294)(96, 299)(97, 297)(98, 298)(99, 304)(100, 300)(101, 326)(102, 314)(103, 322)(104, 359)(105, 311)(106, 355)(107, 318)(108, 319)(109, 360)(110, 308)(111, 356)(112, 323)(113, 313)(114, 317)(115, 353)(116, 329)(117, 352)(118, 333)(119, 338)(120, 347)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.693
Graph:: simple bipartite
	v = 120 e = 240 f = 100
	degree seq :: [ 4^120 ]

E11.690 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3)^3, (Y1 * Y2)^5 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 19, 139)(13, 133, 21, 141)(14, 134, 23, 143)(16, 136, 25, 145)(17, 137, 26, 146)(18, 138, 28, 148)(20, 140, 30, 150)(22, 142, 32, 152)(24, 144, 34, 154)(27, 147, 38, 158)(29, 149, 40, 160)(31, 151, 43, 163)(33, 153, 45, 165)(35, 155, 46, 166)(36, 156, 42, 162)(37, 157, 49, 169)(39, 159, 51, 171)(41, 161, 52, 172)(44, 164, 56, 176)(47, 167, 58, 178)(48, 168, 60, 180)(50, 170, 62, 182)(53, 173, 64, 184)(54, 174, 66, 186)(55, 175, 67, 187)(57, 177, 68, 188)(59, 179, 71, 191)(61, 181, 73, 193)(63, 183, 74, 194)(65, 185, 77, 197)(69, 189, 80, 200)(70, 190, 82, 202)(72, 192, 84, 204)(75, 195, 86, 206)(76, 196, 88, 208)(78, 198, 90, 210)(79, 199, 85, 205)(81, 201, 92, 212)(83, 203, 94, 214)(87, 207, 97, 217)(89, 209, 99, 219)(91, 211, 101, 221)(93, 213, 103, 223)(95, 215, 104, 224)(96, 216, 105, 225)(98, 218, 107, 227)(100, 220, 108, 228)(102, 222, 110, 230)(106, 226, 113, 233)(109, 229, 115, 235)(111, 231, 116, 236)(112, 232, 117, 237)(114, 234, 118, 238)(119, 239, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 257, 377)(252, 372, 260, 380)(254, 374, 262, 382)(255, 375, 264, 384)(258, 378, 267, 387)(259, 379, 269, 389)(261, 381, 266, 386)(263, 383, 273, 393)(265, 385, 275, 395)(268, 388, 279, 399)(270, 390, 281, 401)(271, 391, 277, 397)(272, 392, 284, 404)(274, 394, 286, 406)(276, 396, 288, 408)(278, 398, 290, 410)(280, 400, 292, 412)(282, 402, 294, 414)(283, 403, 295, 415)(285, 405, 297, 417)(287, 407, 299, 419)(289, 409, 301, 421)(291, 411, 303, 423)(293, 413, 305, 425)(296, 416, 308, 428)(298, 418, 310, 430)(300, 420, 312, 432)(302, 422, 314, 434)(304, 424, 316, 436)(306, 426, 318, 438)(307, 427, 319, 439)(309, 429, 321, 441)(311, 431, 323, 443)(313, 433, 325, 445)(315, 435, 327, 447)(317, 437, 329, 449)(320, 440, 331, 451)(322, 442, 333, 453)(324, 444, 330, 450)(326, 446, 336, 456)(328, 448, 338, 458)(332, 452, 342, 462)(334, 454, 343, 463)(335, 455, 340, 460)(337, 457, 346, 466)(339, 459, 347, 467)(341, 461, 349, 469)(344, 464, 351, 471)(345, 465, 352, 472)(348, 468, 354, 474)(350, 470, 355, 475)(353, 473, 357, 477)(356, 476, 359, 479)(358, 478, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 252)(10, 258)(11, 245)(12, 249)(13, 262)(14, 247)(15, 263)(16, 260)(17, 267)(18, 250)(19, 268)(20, 256)(21, 271)(22, 253)(23, 255)(24, 273)(25, 276)(26, 277)(27, 257)(28, 259)(29, 279)(30, 282)(31, 261)(32, 283)(33, 264)(34, 287)(35, 288)(36, 265)(37, 266)(38, 289)(39, 269)(40, 293)(41, 294)(42, 270)(43, 272)(44, 295)(45, 298)(46, 299)(47, 274)(48, 275)(49, 278)(50, 301)(51, 304)(52, 305)(53, 280)(54, 281)(55, 284)(56, 309)(57, 310)(58, 285)(59, 286)(60, 311)(61, 290)(62, 315)(63, 316)(64, 291)(65, 292)(66, 317)(67, 320)(68, 321)(69, 296)(70, 297)(71, 300)(72, 323)(73, 326)(74, 327)(75, 302)(76, 303)(77, 306)(78, 329)(79, 331)(80, 307)(81, 308)(82, 332)(83, 312)(84, 335)(85, 336)(86, 313)(87, 314)(88, 337)(89, 318)(90, 340)(91, 319)(92, 322)(93, 342)(94, 344)(95, 324)(96, 325)(97, 328)(98, 346)(99, 348)(100, 330)(101, 345)(102, 333)(103, 351)(104, 334)(105, 341)(106, 338)(107, 354)(108, 339)(109, 352)(110, 356)(111, 343)(112, 349)(113, 358)(114, 347)(115, 359)(116, 350)(117, 360)(118, 353)(119, 355)(120, 357)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.696
Graph:: simple bipartite
	v = 120 e = 240 f = 100
	degree seq :: [ 4^120 ]

E11.691 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^3, (Y2 * Y1 * Y2 * Y1 * Y3)^3, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3)^2, (Y2 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 19, 139)(13, 133, 21, 141)(14, 134, 23, 143)(16, 136, 25, 145)(17, 137, 26, 146)(18, 138, 28, 148)(20, 140, 30, 150)(22, 142, 33, 153)(24, 144, 35, 155)(27, 147, 40, 160)(29, 149, 42, 162)(31, 151, 45, 165)(32, 152, 47, 167)(34, 154, 49, 169)(36, 156, 52, 172)(37, 157, 44, 164)(38, 158, 54, 174)(39, 159, 56, 176)(41, 161, 58, 178)(43, 163, 61, 181)(46, 166, 65, 185)(48, 168, 67, 187)(50, 170, 70, 190)(51, 171, 69, 189)(53, 173, 74, 194)(55, 175, 77, 197)(57, 177, 71, 191)(59, 179, 81, 201)(60, 180, 80, 200)(62, 182, 84, 204)(63, 183, 85, 205)(64, 184, 87, 207)(66, 186, 88, 208)(68, 188, 89, 209)(72, 192, 93, 213)(73, 193, 95, 215)(75, 195, 96, 216)(76, 196, 98, 218)(78, 198, 92, 212)(79, 199, 94, 214)(82, 202, 101, 221)(83, 203, 102, 222)(86, 206, 105, 225)(90, 210, 107, 227)(91, 211, 108, 228)(97, 217, 114, 234)(99, 219, 111, 231)(100, 220, 115, 235)(103, 223, 112, 232)(104, 224, 116, 236)(106, 226, 109, 229)(110, 230, 113, 233)(117, 237, 120, 240)(118, 238, 119, 239)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 257, 377)(252, 372, 260, 380)(254, 374, 262, 382)(255, 375, 264, 384)(258, 378, 267, 387)(259, 379, 269, 389)(261, 381, 271, 391)(263, 383, 274, 394)(265, 385, 276, 396)(266, 386, 278, 398)(268, 388, 281, 401)(270, 390, 283, 403)(272, 392, 286, 406)(273, 393, 288, 408)(275, 395, 290, 410)(277, 397, 293, 413)(279, 399, 295, 415)(280, 400, 297, 417)(282, 402, 299, 419)(284, 404, 302, 422)(285, 405, 303, 423)(287, 407, 306, 426)(289, 409, 308, 428)(291, 411, 311, 431)(292, 412, 312, 432)(294, 414, 315, 435)(296, 416, 318, 438)(298, 418, 319, 439)(300, 420, 307, 427)(301, 421, 322, 442)(304, 424, 326, 446)(305, 425, 314, 434)(309, 429, 330, 450)(310, 430, 331, 451)(313, 433, 334, 454)(316, 436, 337, 457)(317, 437, 324, 444)(320, 440, 339, 459)(321, 441, 340, 460)(323, 443, 329, 449)(325, 445, 343, 463)(327, 447, 335, 455)(328, 448, 346, 466)(332, 452, 349, 469)(333, 453, 350, 470)(336, 456, 352, 472)(338, 458, 342, 462)(341, 461, 356, 476)(344, 464, 357, 477)(345, 465, 347, 467)(348, 468, 358, 478)(351, 471, 354, 474)(353, 473, 359, 479)(355, 475, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 252)(10, 258)(11, 245)(12, 249)(13, 262)(14, 247)(15, 263)(16, 260)(17, 267)(18, 250)(19, 268)(20, 256)(21, 272)(22, 253)(23, 255)(24, 274)(25, 277)(26, 279)(27, 257)(28, 259)(29, 281)(30, 284)(31, 286)(32, 261)(33, 287)(34, 264)(35, 291)(36, 293)(37, 265)(38, 295)(39, 266)(40, 296)(41, 269)(42, 300)(43, 302)(44, 270)(45, 304)(46, 271)(47, 273)(48, 306)(49, 309)(50, 311)(51, 275)(52, 313)(53, 276)(54, 316)(55, 278)(56, 280)(57, 318)(58, 320)(59, 307)(60, 282)(61, 323)(62, 283)(63, 326)(64, 285)(65, 327)(66, 288)(67, 299)(68, 330)(69, 289)(70, 332)(71, 290)(72, 334)(73, 292)(74, 335)(75, 337)(76, 294)(77, 338)(78, 297)(79, 339)(80, 298)(81, 328)(82, 329)(83, 301)(84, 342)(85, 344)(86, 303)(87, 305)(88, 321)(89, 322)(90, 308)(91, 349)(92, 310)(93, 351)(94, 312)(95, 314)(96, 353)(97, 315)(98, 317)(99, 319)(100, 346)(101, 347)(102, 324)(103, 357)(104, 325)(105, 356)(106, 340)(107, 341)(108, 355)(109, 331)(110, 354)(111, 333)(112, 359)(113, 336)(114, 350)(115, 348)(116, 345)(117, 343)(118, 360)(119, 352)(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) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.695
Graph:: simple bipartite
	v = 120 e = 240 f = 100
	degree seq :: [ 4^120 ]

E11.692 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 16, 136)(7, 127, 19, 139)(8, 128, 21, 141)(10, 130, 26, 146)(11, 131, 18, 138)(13, 133, 31, 151)(15, 135, 32, 152)(17, 137, 36, 156)(20, 140, 41, 161)(22, 142, 42, 162)(23, 143, 43, 163)(24, 144, 38, 158)(25, 145, 45, 165)(27, 147, 49, 169)(28, 148, 34, 154)(29, 149, 50, 170)(30, 150, 52, 172)(33, 153, 56, 176)(35, 155, 57, 177)(37, 157, 60, 180)(39, 159, 61, 181)(40, 160, 62, 182)(44, 164, 67, 187)(46, 166, 68, 188)(47, 167, 55, 175)(48, 168, 54, 174)(51, 171, 73, 193)(53, 173, 74, 194)(58, 178, 64, 184)(59, 179, 63, 183)(65, 185, 85, 205)(66, 186, 86, 206)(69, 189, 89, 209)(70, 190, 90, 210)(71, 191, 91, 211)(72, 192, 92, 212)(75, 195, 95, 215)(76, 196, 96, 216)(77, 197, 94, 214)(78, 198, 93, 213)(79, 199, 97, 217)(80, 200, 98, 218)(81, 201, 88, 208)(82, 202, 87, 207)(83, 203, 99, 219)(84, 204, 100, 220)(101, 221, 106, 226)(102, 222, 105, 225)(103, 223, 116, 236)(104, 224, 115, 235)(107, 227, 112, 232)(108, 228, 111, 231)(109, 229, 114, 234)(110, 230, 113, 233)(117, 237, 119, 239)(118, 238, 120, 240)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 258, 378)(248, 368, 257, 377)(249, 369, 263, 383)(252, 372, 269, 389)(253, 373, 268, 388)(254, 374, 264, 384)(255, 375, 267, 387)(256, 376, 273, 393)(259, 379, 279, 399)(260, 380, 278, 398)(261, 381, 274, 394)(262, 382, 277, 397)(265, 385, 284, 404)(266, 386, 287, 407)(270, 390, 291, 411)(271, 391, 294, 414)(272, 392, 285, 405)(275, 395, 293, 413)(276, 396, 298, 418)(280, 400, 286, 406)(281, 401, 303, 423)(282, 402, 297, 417)(283, 403, 305, 425)(288, 408, 309, 429)(289, 409, 292, 412)(290, 410, 311, 431)(295, 415, 315, 435)(296, 416, 317, 437)(299, 419, 319, 439)(300, 420, 302, 422)(301, 421, 321, 441)(304, 424, 323, 443)(306, 426, 310, 430)(307, 427, 327, 447)(308, 428, 326, 446)(312, 432, 316, 436)(313, 433, 333, 453)(314, 434, 332, 452)(318, 438, 320, 440)(322, 442, 324, 444)(325, 445, 341, 461)(328, 448, 343, 463)(329, 449, 345, 465)(330, 450, 336, 456)(331, 451, 347, 467)(334, 454, 349, 469)(335, 455, 351, 471)(337, 457, 353, 473)(338, 458, 340, 460)(339, 459, 355, 475)(342, 462, 344, 464)(346, 466, 357, 477)(348, 468, 350, 470)(352, 472, 358, 478)(354, 474, 359, 479)(356, 476, 360, 480)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 257)(7, 260)(8, 242)(9, 264)(10, 267)(11, 243)(12, 261)(13, 255)(14, 263)(15, 245)(16, 274)(17, 277)(18, 246)(19, 254)(20, 262)(21, 273)(22, 248)(23, 284)(24, 279)(25, 249)(26, 285)(27, 268)(28, 251)(29, 291)(30, 252)(31, 292)(32, 287)(33, 293)(34, 269)(35, 256)(36, 297)(37, 278)(38, 258)(39, 286)(40, 259)(41, 302)(42, 298)(43, 272)(44, 280)(45, 305)(46, 265)(47, 309)(48, 266)(49, 294)(50, 289)(51, 275)(52, 311)(53, 270)(54, 315)(55, 271)(56, 282)(57, 317)(58, 319)(59, 276)(60, 303)(61, 300)(62, 321)(63, 323)(64, 281)(65, 310)(66, 283)(67, 326)(68, 327)(69, 306)(70, 288)(71, 316)(72, 290)(73, 332)(74, 333)(75, 312)(76, 295)(77, 320)(78, 296)(79, 318)(80, 299)(81, 324)(82, 301)(83, 322)(84, 304)(85, 308)(86, 341)(87, 343)(88, 307)(89, 336)(90, 345)(91, 314)(92, 347)(93, 349)(94, 313)(95, 330)(96, 351)(97, 340)(98, 353)(99, 338)(100, 355)(101, 344)(102, 325)(103, 342)(104, 328)(105, 357)(106, 329)(107, 350)(108, 331)(109, 348)(110, 334)(111, 358)(112, 335)(113, 359)(114, 337)(115, 360)(116, 339)(117, 352)(118, 346)(119, 356)(120, 354)(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, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.694
Graph:: simple bipartite
	v = 120 e = 240 f = 100
	degree seq :: [ 4^120 ]

E11.693 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^3, Y3^3, (Y1 * Y3)^2, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * R * Y2 * Y1^-1 * Y3^-1 * R, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 121, 2, 122, 5, 125)(3, 123, 10, 130, 12, 132)(4, 124, 14, 134, 15, 135)(6, 126, 18, 138, 8, 128)(7, 127, 19, 139, 21, 141)(9, 129, 23, 143, 17, 137)(11, 131, 27, 147, 28, 148)(13, 133, 31, 151, 25, 145)(16, 136, 34, 154, 35, 155)(20, 140, 41, 161, 42, 162)(22, 142, 45, 165, 39, 159)(24, 144, 47, 167, 49, 169)(26, 146, 51, 171, 30, 150)(29, 149, 54, 174, 55, 175)(32, 152, 58, 178, 59, 179)(33, 153, 60, 180, 61, 181)(36, 156, 67, 187, 63, 183)(37, 157, 68, 188, 69, 189)(38, 158, 70, 190, 57, 177)(40, 160, 73, 193, 44, 164)(43, 163, 76, 196, 56, 176)(46, 166, 79, 199, 80, 200)(48, 168, 83, 203, 84, 204)(50, 170, 86, 206, 81, 201)(52, 172, 88, 208, 74, 194)(53, 173, 89, 209, 71, 191)(62, 182, 93, 213, 78, 198)(64, 184, 92, 212, 66, 186)(65, 185, 91, 211, 77, 197)(72, 192, 101, 221, 100, 220)(75, 195, 103, 223, 96, 216)(82, 202, 106, 226, 85, 205)(87, 207, 98, 218, 109, 229)(90, 210, 110, 230, 108, 228)(94, 214, 99, 219, 95, 215)(97, 217, 113, 233, 112, 232)(102, 222, 105, 225, 115, 235)(104, 224, 116, 236, 114, 234)(107, 227, 118, 238, 111, 231)(117, 237, 119, 239, 120, 240)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 253, 373)(245, 365, 256, 376)(246, 366, 251, 371)(248, 368, 262, 382)(249, 369, 260, 380)(250, 370, 264, 384)(252, 372, 269, 389)(254, 374, 272, 392)(255, 375, 273, 393)(257, 377, 276, 396)(258, 378, 277, 397)(259, 379, 278, 398)(261, 381, 283, 403)(263, 383, 286, 406)(265, 385, 290, 410)(266, 386, 288, 408)(267, 387, 292, 412)(268, 388, 293, 413)(270, 390, 296, 416)(271, 391, 297, 417)(274, 394, 302, 422)(275, 395, 305, 425)(279, 399, 312, 432)(280, 400, 311, 431)(281, 401, 314, 434)(282, 402, 315, 435)(284, 404, 317, 437)(285, 405, 318, 438)(287, 407, 308, 428)(289, 409, 307, 427)(291, 411, 327, 447)(294, 414, 330, 450)(295, 415, 306, 426)(298, 418, 328, 448)(299, 419, 323, 443)(300, 420, 333, 453)(301, 421, 322, 442)(303, 423, 337, 457)(304, 424, 336, 456)(309, 429, 338, 458)(310, 430, 319, 439)(313, 433, 342, 462)(316, 436, 344, 464)(320, 440, 345, 465)(321, 441, 335, 455)(324, 444, 347, 467)(325, 445, 332, 452)(326, 446, 348, 468)(329, 449, 350, 470)(331, 451, 351, 471)(334, 454, 352, 472)(339, 459, 340, 460)(341, 461, 354, 474)(343, 463, 356, 476)(346, 466, 357, 477)(349, 469, 359, 479)(353, 473, 358, 478)(355, 475, 360, 480)
	L = (1, 244)(2, 248)(3, 251)(4, 246)(5, 257)(6, 241)(7, 260)(8, 249)(9, 242)(10, 265)(11, 253)(12, 270)(13, 243)(14, 245)(15, 263)(16, 272)(17, 254)(18, 255)(19, 279)(20, 262)(21, 284)(22, 247)(23, 258)(24, 288)(25, 266)(26, 250)(27, 252)(28, 291)(29, 292)(30, 267)(31, 268)(32, 276)(33, 277)(34, 303)(35, 306)(36, 256)(37, 286)(38, 311)(39, 280)(40, 259)(41, 261)(42, 313)(43, 314)(44, 281)(45, 282)(46, 273)(47, 321)(48, 290)(49, 325)(50, 264)(51, 271)(52, 296)(53, 297)(54, 316)(55, 305)(56, 269)(57, 327)(58, 275)(59, 332)(60, 320)(61, 335)(62, 336)(63, 304)(64, 274)(65, 328)(66, 298)(67, 299)(68, 301)(69, 339)(70, 340)(71, 312)(72, 278)(73, 285)(74, 317)(75, 318)(76, 331)(77, 283)(78, 342)(79, 309)(80, 334)(81, 322)(82, 287)(83, 289)(84, 346)(85, 323)(86, 324)(87, 293)(88, 295)(89, 349)(90, 351)(91, 294)(92, 307)(93, 352)(94, 300)(95, 308)(96, 337)(97, 302)(98, 310)(99, 319)(100, 338)(101, 329)(102, 315)(103, 355)(104, 330)(105, 333)(106, 326)(107, 348)(108, 357)(109, 341)(110, 354)(111, 344)(112, 345)(113, 343)(114, 359)(115, 353)(116, 358)(117, 347)(118, 360)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E11.689
Graph:: simple bipartite
	v = 100 e = 240 f = 120
	degree seq :: [ 4^60, 6^40 ]

E11.694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 5, 125)(3, 123, 8, 128, 10, 130)(4, 124, 11, 131, 7, 127)(6, 126, 13, 133, 15, 135)(9, 129, 18, 138, 17, 137)(12, 132, 21, 141, 22, 142)(14, 134, 25, 145, 24, 144)(16, 136, 27, 147, 29, 149)(19, 139, 31, 151, 32, 152)(20, 140, 33, 153, 34, 154)(23, 143, 37, 157, 39, 159)(26, 146, 41, 161, 42, 162)(28, 148, 45, 165, 44, 164)(30, 150, 47, 167, 48, 168)(35, 155, 53, 173, 54, 174)(36, 156, 55, 175, 56, 176)(38, 158, 59, 179, 58, 178)(40, 160, 61, 181, 46, 166)(43, 163, 63, 183, 65, 185)(49, 169, 67, 187, 52, 172)(50, 170, 68, 188, 69, 189)(51, 171, 70, 190, 60, 180)(57, 177, 73, 193, 75, 195)(62, 182, 77, 197, 78, 198)(64, 184, 81, 201, 80, 200)(66, 186, 83, 203, 82, 202)(71, 191, 87, 207, 88, 208)(72, 192, 89, 209, 90, 210)(74, 194, 93, 213, 92, 212)(76, 196, 95, 215, 94, 214)(79, 199, 97, 217, 96, 216)(84, 204, 100, 220, 101, 221)(85, 205, 102, 222, 103, 223)(86, 206, 104, 224, 105, 225)(91, 211, 107, 227, 106, 226)(98, 218, 109, 229, 111, 231)(99, 219, 112, 232, 113, 233)(108, 228, 115, 235, 117, 237)(110, 230, 116, 236, 114, 234)(118, 238, 119, 239, 120, 240)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 249, 369)(245, 365, 252, 372)(247, 367, 254, 374)(248, 368, 256, 376)(250, 370, 259, 379)(251, 371, 260, 380)(253, 373, 263, 383)(255, 375, 266, 386)(257, 377, 268, 388)(258, 378, 270, 390)(261, 381, 275, 395)(262, 382, 276, 396)(264, 384, 278, 398)(265, 385, 280, 400)(267, 387, 283, 403)(269, 389, 286, 406)(271, 391, 289, 409)(272, 392, 290, 410)(273, 393, 291, 411)(274, 394, 292, 412)(277, 397, 297, 417)(279, 399, 300, 420)(281, 401, 285, 405)(282, 402, 302, 422)(284, 404, 304, 424)(287, 407, 306, 426)(288, 408, 294, 414)(293, 413, 311, 431)(295, 415, 299, 419)(296, 416, 312, 432)(298, 418, 314, 434)(301, 421, 316, 436)(303, 423, 319, 439)(305, 425, 322, 442)(307, 427, 324, 444)(308, 428, 321, 441)(309, 429, 325, 445)(310, 430, 326, 446)(313, 433, 331, 451)(315, 435, 334, 454)(317, 437, 333, 453)(318, 438, 336, 456)(320, 440, 338, 458)(323, 443, 339, 459)(327, 447, 342, 462)(328, 448, 345, 465)(329, 449, 340, 460)(330, 450, 346, 466)(332, 452, 348, 468)(335, 455, 349, 469)(337, 457, 350, 470)(341, 461, 353, 473)(343, 463, 354, 474)(344, 464, 355, 475)(347, 467, 356, 476)(351, 471, 358, 478)(352, 472, 359, 479)(357, 477, 360, 480)
	L = (1, 244)(2, 247)(3, 249)(4, 241)(5, 251)(6, 254)(7, 242)(8, 257)(9, 243)(10, 258)(11, 245)(12, 260)(13, 264)(14, 246)(15, 265)(16, 268)(17, 248)(18, 250)(19, 270)(20, 252)(21, 274)(22, 273)(23, 278)(24, 253)(25, 255)(26, 280)(27, 284)(28, 256)(29, 285)(30, 259)(31, 288)(32, 287)(33, 262)(34, 261)(35, 292)(36, 291)(37, 298)(38, 263)(39, 299)(40, 266)(41, 286)(42, 301)(43, 304)(44, 267)(45, 269)(46, 281)(47, 272)(48, 271)(49, 294)(50, 306)(51, 276)(52, 275)(53, 307)(54, 289)(55, 300)(56, 310)(57, 314)(58, 277)(59, 279)(60, 295)(61, 282)(62, 316)(63, 320)(64, 283)(65, 321)(66, 290)(67, 293)(68, 322)(69, 323)(70, 296)(71, 324)(72, 326)(73, 332)(74, 297)(75, 333)(76, 302)(77, 334)(78, 335)(79, 338)(80, 303)(81, 305)(82, 308)(83, 309)(84, 311)(85, 339)(86, 312)(87, 341)(88, 340)(89, 345)(90, 344)(91, 348)(92, 313)(93, 315)(94, 317)(95, 318)(96, 349)(97, 351)(98, 319)(99, 325)(100, 328)(101, 327)(102, 353)(103, 352)(104, 330)(105, 329)(106, 355)(107, 357)(108, 331)(109, 336)(110, 358)(111, 337)(112, 343)(113, 342)(114, 359)(115, 346)(116, 360)(117, 347)(118, 350)(119, 354)(120, 356)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E11.692
Graph:: simple bipartite
	v = 100 e = 240 f = 120
	degree seq :: [ 4^60, 6^40 ]

E11.695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 5, 125)(3, 123, 8, 128, 10, 130)(4, 124, 11, 131, 7, 127)(6, 126, 13, 133, 15, 135)(9, 129, 18, 138, 17, 137)(12, 132, 21, 141, 22, 142)(14, 134, 25, 145, 24, 144)(16, 136, 27, 147, 29, 149)(19, 139, 31, 151, 32, 152)(20, 140, 33, 153, 34, 154)(23, 143, 37, 157, 39, 159)(26, 146, 41, 161, 42, 162)(28, 148, 45, 165, 44, 164)(30, 150, 47, 167, 48, 168)(35, 155, 53, 173, 54, 174)(36, 156, 55, 175, 56, 176)(38, 158, 59, 179, 58, 178)(40, 160, 61, 181, 62, 182)(43, 163, 65, 185, 67, 187)(46, 166, 69, 189, 70, 190)(49, 169, 73, 193, 74, 194)(50, 170, 75, 195, 76, 196)(51, 171, 77, 197, 78, 198)(52, 172, 79, 199, 80, 200)(57, 177, 85, 205, 87, 207)(60, 180, 88, 208, 66, 186)(63, 183, 90, 210, 91, 211)(64, 184, 72, 192, 92, 212)(68, 188, 81, 201, 94, 214)(71, 191, 96, 216, 83, 203)(82, 202, 99, 219, 86, 206)(84, 204, 89, 209, 100, 220)(93, 213, 105, 225, 104, 224)(95, 215, 107, 227, 108, 228)(97, 217, 109, 229, 102, 222)(98, 218, 106, 226, 110, 230)(101, 221, 113, 233, 112, 232)(103, 223, 114, 234, 111, 231)(115, 235, 119, 239, 118, 238)(116, 236, 120, 240, 117, 237)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 249, 369)(245, 365, 252, 372)(247, 367, 254, 374)(248, 368, 256, 376)(250, 370, 259, 379)(251, 371, 260, 380)(253, 373, 263, 383)(255, 375, 266, 386)(257, 377, 268, 388)(258, 378, 270, 390)(261, 381, 275, 395)(262, 382, 276, 396)(264, 384, 278, 398)(265, 385, 280, 400)(267, 387, 283, 403)(269, 389, 286, 406)(271, 391, 289, 409)(272, 392, 290, 410)(273, 393, 291, 411)(274, 394, 292, 412)(277, 397, 297, 417)(279, 399, 300, 420)(281, 401, 303, 423)(282, 402, 304, 424)(284, 404, 306, 426)(285, 405, 308, 428)(287, 407, 311, 431)(288, 408, 312, 432)(293, 413, 321, 441)(294, 414, 322, 442)(295, 415, 323, 443)(296, 416, 324, 444)(298, 418, 326, 446)(299, 419, 307, 427)(301, 421, 313, 433)(302, 422, 329, 449)(305, 425, 333, 453)(309, 429, 335, 455)(310, 430, 320, 440)(314, 434, 337, 457)(315, 435, 318, 438)(316, 436, 338, 458)(317, 437, 330, 450)(319, 439, 327, 447)(325, 445, 341, 461)(328, 448, 342, 462)(331, 451, 343, 463)(332, 452, 344, 464)(334, 454, 346, 466)(336, 456, 347, 467)(339, 459, 351, 471)(340, 460, 352, 472)(345, 465, 355, 475)(348, 468, 356, 476)(349, 469, 357, 477)(350, 470, 358, 478)(353, 473, 359, 479)(354, 474, 360, 480)
	L = (1, 244)(2, 247)(3, 249)(4, 241)(5, 251)(6, 254)(7, 242)(8, 257)(9, 243)(10, 258)(11, 245)(12, 260)(13, 264)(14, 246)(15, 265)(16, 268)(17, 248)(18, 250)(19, 270)(20, 252)(21, 274)(22, 273)(23, 278)(24, 253)(25, 255)(26, 280)(27, 284)(28, 256)(29, 285)(30, 259)(31, 288)(32, 287)(33, 262)(34, 261)(35, 292)(36, 291)(37, 298)(38, 263)(39, 299)(40, 266)(41, 302)(42, 301)(43, 306)(44, 267)(45, 269)(46, 308)(47, 272)(48, 271)(49, 312)(50, 311)(51, 276)(52, 275)(53, 320)(54, 319)(55, 318)(56, 317)(57, 326)(58, 277)(59, 279)(60, 307)(61, 282)(62, 281)(63, 329)(64, 313)(65, 328)(66, 283)(67, 300)(68, 286)(69, 334)(70, 321)(71, 290)(72, 289)(73, 304)(74, 332)(75, 323)(76, 336)(77, 296)(78, 295)(79, 294)(80, 293)(81, 310)(82, 327)(83, 315)(84, 330)(85, 339)(86, 297)(87, 322)(88, 305)(89, 303)(90, 324)(91, 340)(92, 314)(93, 342)(94, 309)(95, 346)(96, 316)(97, 344)(98, 347)(99, 325)(100, 331)(101, 351)(102, 333)(103, 352)(104, 337)(105, 349)(106, 335)(107, 338)(108, 350)(109, 345)(110, 348)(111, 341)(112, 343)(113, 354)(114, 353)(115, 357)(116, 358)(117, 355)(118, 356)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E11.691
Graph:: simple bipartite
	v = 100 e = 240 f = 120
	degree seq :: [ 4^60, 6^40 ]

E11.696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^5, (Y2 * Y1 * Y2 * Y1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 5, 125)(3, 123, 8, 128, 10, 130)(4, 124, 11, 131, 7, 127)(6, 126, 13, 133, 15, 135)(9, 129, 18, 138, 17, 137)(12, 132, 21, 141, 22, 142)(14, 134, 25, 145, 24, 144)(16, 136, 27, 147, 29, 149)(19, 139, 31, 151, 32, 152)(20, 140, 33, 153, 34, 154)(23, 143, 37, 157, 39, 159)(26, 146, 41, 161, 42, 162)(28, 148, 45, 165, 44, 164)(30, 150, 47, 167, 48, 168)(35, 155, 52, 172, 53, 173)(36, 156, 54, 174, 43, 163)(38, 158, 56, 176, 55, 175)(40, 160, 58, 178, 59, 179)(46, 166, 63, 183, 64, 184)(49, 169, 66, 186, 67, 187)(50, 170, 61, 181, 68, 188)(51, 171, 69, 189, 70, 190)(57, 177, 74, 194, 75, 195)(60, 180, 77, 197, 78, 198)(62, 182, 79, 199, 80, 200)(65, 185, 82, 202, 83, 203)(71, 191, 87, 207, 88, 208)(72, 192, 89, 209, 90, 210)(73, 193, 91, 211, 92, 212)(76, 196, 94, 214, 95, 215)(81, 201, 98, 218, 99, 219)(84, 204, 101, 221, 93, 213)(85, 205, 102, 222, 103, 223)(86, 206, 104, 224, 105, 225)(96, 216, 109, 229, 106, 226)(97, 217, 110, 230, 111, 231)(100, 220, 107, 227, 113, 233)(108, 228, 115, 235, 116, 236)(112, 232, 117, 237, 114, 234)(118, 238, 119, 239, 120, 240)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 249, 369)(245, 365, 252, 372)(247, 367, 254, 374)(248, 368, 256, 376)(250, 370, 259, 379)(251, 371, 260, 380)(253, 373, 263, 383)(255, 375, 266, 386)(257, 377, 268, 388)(258, 378, 270, 390)(261, 381, 275, 395)(262, 382, 276, 396)(264, 384, 278, 398)(265, 385, 280, 400)(267, 387, 283, 403)(269, 389, 286, 406)(271, 391, 289, 409)(272, 392, 277, 397)(273, 393, 290, 410)(274, 394, 291, 411)(279, 399, 297, 417)(281, 401, 300, 420)(282, 402, 292, 412)(284, 404, 301, 421)(285, 405, 302, 422)(287, 407, 295, 415)(288, 408, 305, 425)(293, 413, 311, 431)(294, 414, 312, 432)(296, 416, 313, 433)(298, 418, 310, 430)(299, 419, 316, 436)(303, 423, 321, 441)(304, 424, 306, 426)(307, 427, 324, 444)(308, 428, 325, 445)(309, 429, 326, 446)(314, 434, 333, 453)(315, 435, 317, 437)(318, 438, 336, 456)(319, 439, 323, 443)(320, 440, 337, 457)(322, 442, 340, 460)(327, 447, 346, 466)(328, 448, 329, 449)(330, 450, 338, 458)(331, 451, 335, 455)(332, 452, 347, 467)(334, 454, 348, 468)(339, 459, 352, 472)(341, 461, 354, 474)(342, 462, 351, 471)(343, 463, 344, 464)(345, 465, 355, 475)(349, 469, 357, 477)(350, 470, 358, 478)(353, 473, 359, 479)(356, 476, 360, 480)
	L = (1, 244)(2, 247)(3, 249)(4, 241)(5, 251)(6, 254)(7, 242)(8, 257)(9, 243)(10, 258)(11, 245)(12, 260)(13, 264)(14, 246)(15, 265)(16, 268)(17, 248)(18, 250)(19, 270)(20, 252)(21, 274)(22, 273)(23, 278)(24, 253)(25, 255)(26, 280)(27, 284)(28, 256)(29, 285)(30, 259)(31, 288)(32, 287)(33, 262)(34, 261)(35, 291)(36, 290)(37, 295)(38, 263)(39, 296)(40, 266)(41, 299)(42, 298)(43, 301)(44, 267)(45, 269)(46, 302)(47, 272)(48, 271)(49, 305)(50, 276)(51, 275)(52, 310)(53, 309)(54, 308)(55, 277)(56, 279)(57, 313)(58, 282)(59, 281)(60, 316)(61, 283)(62, 286)(63, 320)(64, 319)(65, 289)(66, 323)(67, 322)(68, 294)(69, 293)(70, 292)(71, 326)(72, 325)(73, 297)(74, 332)(75, 331)(76, 300)(77, 335)(78, 334)(79, 304)(80, 303)(81, 337)(82, 307)(83, 306)(84, 340)(85, 312)(86, 311)(87, 345)(88, 344)(89, 343)(90, 342)(91, 315)(92, 314)(93, 347)(94, 318)(95, 317)(96, 348)(97, 321)(98, 351)(99, 350)(100, 324)(101, 353)(102, 330)(103, 329)(104, 328)(105, 327)(106, 355)(107, 333)(108, 336)(109, 356)(110, 339)(111, 338)(112, 358)(113, 341)(114, 359)(115, 346)(116, 349)(117, 360)(118, 352)(119, 354)(120, 357)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E11.690
Graph:: simple bipartite
	v = 100 e = 240 f = 120
	degree seq :: [ 4^60, 6^40 ]

E11.697 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2, T1^-1)^2, (T2^-1 * T1^-1)^4, T2^-1 * T1 * T2^-1 * T1^-1 * T2^2 * T1 * T2^-2 * T1^-1, (T2^-2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 54, 25)(13, 31, 67, 32)(14, 33, 70, 34)(15, 35, 73, 36)(17, 39, 80, 40)(18, 41, 83, 42)(19, 43, 86, 44)(22, 49, 79, 50)(23, 51, 97, 52)(26, 58, 104, 56)(28, 61, 95, 62)(29, 63, 110, 64)(30, 65, 88, 45)(37, 75, 108, 76)(38, 77, 69, 78)(47, 90, 117, 91)(48, 92, 71, 93)(53, 100, 59, 98)(55, 102, 68, 103)(57, 105, 82, 94)(60, 106, 85, 107)(66, 99, 74, 112)(72, 96, 118, 101)(81, 116, 84, 113)(87, 114, 120, 115)(89, 109, 119, 111)(121, 122, 124)(123, 128, 130)(125, 133, 134)(126, 135, 137)(127, 138, 139)(129, 142, 143)(131, 146, 148)(132, 149, 150)(136, 157, 158)(140, 165, 167)(141, 168, 160)(144, 173, 175)(145, 176, 177)(147, 179, 180)(151, 186, 163)(152, 188, 189)(153, 183, 191)(154, 192, 155)(156, 194, 182)(159, 199, 201)(161, 202, 185)(162, 204, 205)(164, 207, 178)(166, 209, 206)(169, 214, 198)(170, 215, 211)(171, 216, 203)(172, 218, 219)(174, 221, 196)(181, 228, 229)(184, 231, 217)(187, 226, 210)(190, 224, 233)(193, 223, 208)(195, 213, 227)(197, 234, 230)(200, 235, 220)(212, 232, 225)(222, 239, 236)(237, 240, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E11.698
Transitivity :: ET+
Graph:: simple bipartite
	v = 70 e = 120 f = 30
	degree seq :: [ 3^40, 4^30 ]

E11.698 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2, T1^-1)^2, (T2^-1 * T1^-1)^4, T2^-1 * T1 * T2^-1 * T1^-1 * T2^2 * T1 * T2^-2 * T1^-1, (T2^-2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 121, 3, 123, 9, 129, 5, 125)(2, 122, 6, 126, 16, 136, 7, 127)(4, 124, 11, 131, 27, 147, 12, 132)(8, 128, 20, 140, 46, 166, 21, 141)(10, 130, 24, 144, 54, 174, 25, 145)(13, 133, 31, 151, 67, 187, 32, 152)(14, 134, 33, 153, 70, 190, 34, 154)(15, 135, 35, 155, 73, 193, 36, 156)(17, 137, 39, 159, 80, 200, 40, 160)(18, 138, 41, 161, 83, 203, 42, 162)(19, 139, 43, 163, 86, 206, 44, 164)(22, 142, 49, 169, 79, 199, 50, 170)(23, 143, 51, 171, 97, 217, 52, 172)(26, 146, 58, 178, 104, 224, 56, 176)(28, 148, 61, 181, 95, 215, 62, 182)(29, 149, 63, 183, 110, 230, 64, 184)(30, 150, 65, 185, 88, 208, 45, 165)(37, 157, 75, 195, 108, 228, 76, 196)(38, 158, 77, 197, 69, 189, 78, 198)(47, 167, 90, 210, 117, 237, 91, 211)(48, 168, 92, 212, 71, 191, 93, 213)(53, 173, 100, 220, 59, 179, 98, 218)(55, 175, 102, 222, 68, 188, 103, 223)(57, 177, 105, 225, 82, 202, 94, 214)(60, 180, 106, 226, 85, 205, 107, 227)(66, 186, 99, 219, 74, 194, 112, 232)(72, 192, 96, 216, 118, 238, 101, 221)(81, 201, 116, 236, 84, 204, 113, 233)(87, 207, 114, 234, 120, 240, 115, 235)(89, 209, 109, 229, 119, 239, 111, 231)
	L = (1, 122)(2, 124)(3, 128)(4, 121)(5, 133)(6, 135)(7, 138)(8, 130)(9, 142)(10, 123)(11, 146)(12, 149)(13, 134)(14, 125)(15, 137)(16, 157)(17, 126)(18, 139)(19, 127)(20, 165)(21, 168)(22, 143)(23, 129)(24, 173)(25, 176)(26, 148)(27, 179)(28, 131)(29, 150)(30, 132)(31, 186)(32, 188)(33, 183)(34, 192)(35, 154)(36, 194)(37, 158)(38, 136)(39, 199)(40, 141)(41, 202)(42, 204)(43, 151)(44, 207)(45, 167)(46, 209)(47, 140)(48, 160)(49, 214)(50, 215)(51, 216)(52, 218)(53, 175)(54, 221)(55, 144)(56, 177)(57, 145)(58, 164)(59, 180)(60, 147)(61, 228)(62, 156)(63, 191)(64, 231)(65, 161)(66, 163)(67, 226)(68, 189)(69, 152)(70, 224)(71, 153)(72, 155)(73, 223)(74, 182)(75, 213)(76, 174)(77, 234)(78, 169)(79, 201)(80, 235)(81, 159)(82, 185)(83, 171)(84, 205)(85, 162)(86, 166)(87, 178)(88, 193)(89, 206)(90, 187)(91, 170)(92, 232)(93, 227)(94, 198)(95, 211)(96, 203)(97, 184)(98, 219)(99, 172)(100, 200)(101, 196)(102, 239)(103, 208)(104, 233)(105, 212)(106, 210)(107, 195)(108, 229)(109, 181)(110, 197)(111, 217)(112, 225)(113, 190)(114, 230)(115, 220)(116, 222)(117, 240)(118, 237)(119, 236)(120, 238)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E11.697
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 30 e = 120 f = 70
	degree seq :: [ 8^30 ]

E11.699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|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, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, Y2 * Y3 * Y2^-2 * Y3 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-2 * Y3 * Y2 * Y3 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 121, 2, 122, 4, 124)(3, 123, 8, 128, 10, 130)(5, 125, 13, 133, 14, 134)(6, 126, 15, 135, 17, 137)(7, 127, 18, 138, 19, 139)(9, 129, 22, 142, 23, 143)(11, 131, 26, 146, 28, 148)(12, 132, 29, 149, 30, 150)(16, 136, 37, 157, 38, 158)(20, 140, 45, 165, 47, 167)(21, 141, 48, 168, 40, 160)(24, 144, 53, 173, 55, 175)(25, 145, 56, 176, 57, 177)(27, 147, 59, 179, 60, 180)(31, 151, 66, 186, 43, 163)(32, 152, 68, 188, 69, 189)(33, 153, 63, 183, 71, 191)(34, 154, 72, 192, 35, 155)(36, 156, 74, 194, 62, 182)(39, 159, 79, 199, 81, 201)(41, 161, 82, 202, 65, 185)(42, 162, 84, 204, 85, 205)(44, 164, 87, 207, 58, 178)(46, 166, 89, 209, 86, 206)(49, 169, 94, 214, 78, 198)(50, 170, 95, 215, 91, 211)(51, 171, 96, 216, 83, 203)(52, 172, 98, 218, 99, 219)(54, 174, 101, 221, 76, 196)(61, 181, 108, 228, 109, 229)(64, 184, 111, 231, 97, 217)(67, 187, 106, 226, 90, 210)(70, 190, 104, 224, 113, 233)(73, 193, 103, 223, 88, 208)(75, 195, 93, 213, 107, 227)(77, 197, 114, 234, 110, 230)(80, 200, 115, 235, 100, 220)(92, 212, 112, 232, 105, 225)(102, 222, 119, 239, 116, 236)(117, 237, 120, 240, 118, 238)(241, 361, 243, 363, 249, 369, 245, 365)(242, 362, 246, 366, 256, 376, 247, 367)(244, 364, 251, 371, 267, 387, 252, 372)(248, 368, 260, 380, 286, 406, 261, 381)(250, 370, 264, 384, 294, 414, 265, 385)(253, 373, 271, 391, 307, 427, 272, 392)(254, 374, 273, 393, 310, 430, 274, 394)(255, 375, 275, 395, 313, 433, 276, 396)(257, 377, 279, 399, 320, 440, 280, 400)(258, 378, 281, 401, 323, 443, 282, 402)(259, 379, 283, 403, 326, 446, 284, 404)(262, 382, 289, 409, 319, 439, 290, 410)(263, 383, 291, 411, 337, 457, 292, 412)(266, 386, 298, 418, 344, 464, 296, 416)(268, 388, 301, 421, 335, 455, 302, 422)(269, 389, 303, 423, 350, 470, 304, 424)(270, 390, 305, 425, 328, 448, 285, 405)(277, 397, 315, 435, 348, 468, 316, 436)(278, 398, 317, 437, 309, 429, 318, 438)(287, 407, 330, 450, 357, 477, 331, 451)(288, 408, 332, 452, 311, 431, 333, 453)(293, 413, 340, 460, 299, 419, 338, 458)(295, 415, 342, 462, 308, 428, 343, 463)(297, 417, 345, 465, 322, 442, 334, 454)(300, 420, 346, 466, 325, 445, 347, 467)(306, 426, 339, 459, 314, 434, 352, 472)(312, 432, 336, 456, 358, 478, 341, 461)(321, 441, 356, 476, 324, 444, 353, 473)(327, 447, 354, 474, 360, 480, 355, 475)(329, 449, 349, 469, 359, 479, 351, 471)
	L = (1, 244)(2, 241)(3, 250)(4, 242)(5, 254)(6, 257)(7, 259)(8, 243)(9, 263)(10, 248)(11, 268)(12, 270)(13, 245)(14, 253)(15, 246)(16, 278)(17, 255)(18, 247)(19, 258)(20, 287)(21, 280)(22, 249)(23, 262)(24, 295)(25, 297)(26, 251)(27, 300)(28, 266)(29, 252)(30, 269)(31, 283)(32, 309)(33, 311)(34, 275)(35, 312)(36, 302)(37, 256)(38, 277)(39, 321)(40, 288)(41, 305)(42, 325)(43, 306)(44, 298)(45, 260)(46, 326)(47, 285)(48, 261)(49, 318)(50, 331)(51, 323)(52, 339)(53, 264)(54, 316)(55, 293)(56, 265)(57, 296)(58, 327)(59, 267)(60, 299)(61, 349)(62, 314)(63, 273)(64, 337)(65, 322)(66, 271)(67, 330)(68, 272)(69, 308)(70, 353)(71, 303)(72, 274)(73, 328)(74, 276)(75, 347)(76, 341)(77, 350)(78, 334)(79, 279)(80, 340)(81, 319)(82, 281)(83, 336)(84, 282)(85, 324)(86, 329)(87, 284)(88, 343)(89, 286)(90, 346)(91, 335)(92, 345)(93, 315)(94, 289)(95, 290)(96, 291)(97, 351)(98, 292)(99, 338)(100, 355)(101, 294)(102, 356)(103, 313)(104, 310)(105, 352)(106, 307)(107, 333)(108, 301)(109, 348)(110, 354)(111, 304)(112, 332)(113, 344)(114, 317)(115, 320)(116, 359)(117, 358)(118, 360)(119, 342)(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, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.700
Graph:: bipartite
	v = 70 e = 240 f = 150
	degree seq :: [ 6^40, 8^30 ]

E11.700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3, Y1^-1)^2, (Y3^-1 * Y1^-1)^4, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-2 * Y3 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 21, 141, 10, 130)(5, 125, 13, 133, 30, 150, 14, 134)(7, 127, 17, 137, 39, 159, 18, 138)(8, 128, 19, 139, 44, 164, 20, 140)(11, 131, 26, 146, 58, 178, 27, 147)(12, 132, 28, 148, 62, 182, 29, 149)(15, 135, 35, 155, 73, 193, 36, 156)(16, 136, 37, 157, 78, 198, 38, 158)(22, 142, 51, 171, 99, 219, 52, 172)(23, 143, 53, 173, 89, 209, 43, 163)(24, 144, 54, 174, 80, 200, 55, 175)(25, 145, 56, 176, 84, 204, 57, 177)(31, 151, 68, 188, 95, 215, 47, 167)(32, 152, 69, 189, 76, 196, 70, 190)(33, 153, 63, 183, 109, 229, 71, 191)(34, 154, 72, 192, 85, 205, 40, 160)(41, 161, 86, 206, 114, 234, 77, 197)(42, 162, 87, 207, 64, 184, 88, 208)(45, 165, 92, 212, 66, 186, 81, 201)(46, 166, 93, 213, 60, 180, 94, 214)(48, 168, 96, 216, 102, 222, 74, 194)(49, 169, 97, 217, 111, 231, 91, 211)(50, 170, 98, 218, 61, 181, 75, 195)(59, 179, 82, 202, 100, 220, 107, 227)(65, 185, 79, 199, 115, 235, 90, 210)(67, 187, 106, 226, 104, 224, 110, 230)(83, 203, 112, 232, 117, 237, 113, 233)(101, 221, 118, 238, 103, 223, 108, 228)(105, 225, 119, 239, 120, 240, 116, 236)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 245)(4, 251)(5, 241)(6, 255)(7, 248)(8, 242)(9, 262)(10, 264)(11, 252)(12, 244)(13, 271)(14, 273)(15, 256)(16, 246)(17, 280)(18, 282)(19, 285)(20, 287)(21, 289)(22, 263)(23, 249)(24, 265)(25, 250)(26, 299)(27, 300)(28, 303)(29, 305)(30, 306)(31, 272)(32, 253)(33, 274)(34, 254)(35, 314)(36, 316)(37, 319)(38, 321)(39, 323)(40, 281)(41, 257)(42, 283)(43, 258)(44, 330)(45, 286)(46, 259)(47, 288)(48, 260)(49, 290)(50, 261)(51, 269)(52, 340)(53, 313)(54, 342)(55, 343)(56, 266)(57, 345)(58, 346)(59, 296)(60, 301)(61, 267)(62, 335)(63, 304)(64, 268)(65, 291)(66, 307)(67, 270)(68, 297)(69, 351)(70, 292)(71, 353)(72, 294)(73, 341)(74, 315)(75, 275)(76, 317)(77, 276)(78, 311)(79, 320)(80, 277)(81, 322)(82, 278)(83, 324)(84, 279)(85, 339)(86, 298)(87, 347)(88, 350)(89, 356)(90, 331)(91, 284)(92, 329)(93, 357)(94, 325)(95, 348)(96, 327)(97, 328)(98, 359)(99, 334)(100, 310)(101, 293)(102, 312)(103, 344)(104, 295)(105, 308)(106, 326)(107, 336)(108, 302)(109, 338)(110, 337)(111, 352)(112, 309)(113, 318)(114, 360)(115, 354)(116, 332)(117, 358)(118, 333)(119, 349)(120, 355)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.699
Graph:: simple bipartite
	v = 150 e = 240 f = 70
	degree seq :: [ 2^120, 8^30 ]

E11.701 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 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 * T1)^2, (F * T2)^2, T1^6, T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2, (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, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 81, 61, 32)(17, 33, 62, 80, 65, 34)(21, 40, 75, 110, 78, 41)(22, 42, 79, 113, 82, 43)(26, 50, 92, 77, 94, 51)(27, 52, 63, 76, 95, 53)(30, 56, 98, 115, 100, 57)(35, 66, 104, 114, 106, 67)(37, 70, 87, 46, 60, 71)(38, 72, 86, 45, 85, 73)(49, 90, 118, 112, 103, 91)(54, 59, 102, 111, 105, 96)(55, 97, 119, 120, 116, 89)(64, 69, 107, 99, 88, 93)(74, 108, 101, 84, 117, 109)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 88)(48, 89)(50, 93)(51, 61)(52, 71)(53, 57)(56, 99)(58, 101)(62, 72)(65, 103)(66, 70)(67, 105)(68, 97)(73, 102)(75, 111)(78, 112)(79, 114)(82, 115)(83, 116)(85, 100)(86, 94)(87, 91)(90, 98)(92, 104)(95, 108)(96, 107)(106, 109)(110, 119)(113, 120)(117, 118)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 20 e = 60 f = 20
	degree seq :: [ 6^20 ]

E11.702 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 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, T2^6, T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2, (T1 * T2^-3 * T1 * T2^-1)^2, (T1 * T2)^6 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 81, 45, 23)(13, 26, 50, 87, 52, 27)(17, 33, 63, 102, 65, 34)(21, 40, 76, 111, 78, 41)(24, 46, 83, 113, 84, 47)(28, 53, 90, 116, 92, 54)(29, 55, 93, 77, 94, 56)(31, 59, 49, 75, 97, 60)(35, 66, 105, 119, 106, 67)(36, 68, 103, 64, 44, 69)(38, 72, 100, 62, 99, 73)(42, 79, 110, 91, 98, 61)(48, 85, 114, 120, 115, 86)(51, 70, 107, 82, 104, 88)(57, 95, 117, 112, 89, 96)(74, 108, 80, 101, 118, 109)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 137)(130, 141)(132, 144)(134, 148)(135, 149)(136, 151)(138, 155)(139, 156)(140, 158)(142, 162)(143, 164)(145, 168)(146, 169)(147, 171)(150, 177)(152, 181)(153, 182)(154, 184)(157, 190)(159, 194)(160, 195)(161, 197)(163, 200)(165, 176)(166, 202)(167, 180)(170, 192)(172, 209)(173, 188)(174, 211)(175, 208)(178, 206)(179, 189)(183, 221)(185, 224)(186, 207)(187, 201)(191, 205)(193, 199)(196, 230)(198, 232)(203, 215)(204, 219)(210, 213)(212, 229)(214, 220)(216, 223)(217, 228)(218, 227)(222, 235)(225, 236)(226, 233)(231, 234)(237, 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 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E11.703
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 120 f = 20
	degree seq :: [ 2^60, 6^20 ]

E11.703 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 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, T2^6, T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2, (T1 * T2^-3 * T1 * T2^-1)^2, (T1 * T2)^6 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 18, 138, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 25, 145, 14, 134, 6, 126)(7, 127, 15, 135, 30, 150, 58, 178, 32, 152, 16, 136)(9, 129, 19, 139, 37, 157, 71, 191, 39, 159, 20, 140)(11, 131, 22, 142, 43, 163, 81, 201, 45, 165, 23, 143)(13, 133, 26, 146, 50, 170, 87, 207, 52, 172, 27, 147)(17, 137, 33, 153, 63, 183, 102, 222, 65, 185, 34, 154)(21, 141, 40, 160, 76, 196, 111, 231, 78, 198, 41, 161)(24, 144, 46, 166, 83, 203, 113, 233, 84, 204, 47, 167)(28, 148, 53, 173, 90, 210, 116, 236, 92, 212, 54, 174)(29, 149, 55, 175, 93, 213, 77, 197, 94, 214, 56, 176)(31, 151, 59, 179, 49, 169, 75, 195, 97, 217, 60, 180)(35, 155, 66, 186, 105, 225, 119, 239, 106, 226, 67, 187)(36, 156, 68, 188, 103, 223, 64, 184, 44, 164, 69, 189)(38, 158, 72, 192, 100, 220, 62, 182, 99, 219, 73, 193)(42, 162, 79, 199, 110, 230, 91, 211, 98, 218, 61, 181)(48, 168, 85, 205, 114, 234, 120, 240, 115, 235, 86, 206)(51, 171, 70, 190, 107, 227, 82, 202, 104, 224, 88, 208)(57, 177, 95, 215, 117, 237, 112, 232, 89, 209, 96, 216)(74, 194, 108, 228, 80, 200, 101, 221, 118, 238, 109, 229)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 137)(9, 124)(10, 141)(11, 125)(12, 144)(13, 126)(14, 148)(15, 149)(16, 151)(17, 128)(18, 155)(19, 156)(20, 158)(21, 130)(22, 162)(23, 164)(24, 132)(25, 168)(26, 169)(27, 171)(28, 134)(29, 135)(30, 177)(31, 136)(32, 181)(33, 182)(34, 184)(35, 138)(36, 139)(37, 190)(38, 140)(39, 194)(40, 195)(41, 197)(42, 142)(43, 200)(44, 143)(45, 176)(46, 202)(47, 180)(48, 145)(49, 146)(50, 192)(51, 147)(52, 209)(53, 188)(54, 211)(55, 208)(56, 165)(57, 150)(58, 206)(59, 189)(60, 167)(61, 152)(62, 153)(63, 221)(64, 154)(65, 224)(66, 207)(67, 201)(68, 173)(69, 179)(70, 157)(71, 205)(72, 170)(73, 199)(74, 159)(75, 160)(76, 230)(77, 161)(78, 232)(79, 193)(80, 163)(81, 187)(82, 166)(83, 215)(84, 219)(85, 191)(86, 178)(87, 186)(88, 175)(89, 172)(90, 213)(91, 174)(92, 229)(93, 210)(94, 220)(95, 203)(96, 223)(97, 228)(98, 227)(99, 204)(100, 214)(101, 183)(102, 235)(103, 216)(104, 185)(105, 236)(106, 233)(107, 218)(108, 217)(109, 212)(110, 196)(111, 234)(112, 198)(113, 226)(114, 231)(115, 222)(116, 225)(117, 238)(118, 237)(119, 240)(120, 239)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.702
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 120 f = 80
	degree seq :: [ 12^20 ]

E11.704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 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, (R * Y2^-2 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2, (Y1 * Y2^-3 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^6, (Y1 * Y2)^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, 21, 141)(12, 132, 24, 144)(14, 134, 28, 148)(15, 135, 29, 149)(16, 136, 31, 151)(18, 138, 35, 155)(19, 139, 36, 156)(20, 140, 38, 158)(22, 142, 42, 162)(23, 143, 44, 164)(25, 145, 48, 168)(26, 146, 49, 169)(27, 147, 51, 171)(30, 150, 57, 177)(32, 152, 61, 181)(33, 153, 62, 182)(34, 154, 64, 184)(37, 157, 70, 190)(39, 159, 74, 194)(40, 160, 75, 195)(41, 161, 77, 197)(43, 163, 80, 200)(45, 165, 56, 176)(46, 166, 82, 202)(47, 167, 60, 180)(50, 170, 72, 192)(52, 172, 89, 209)(53, 173, 68, 188)(54, 174, 91, 211)(55, 175, 88, 208)(58, 178, 86, 206)(59, 179, 69, 189)(63, 183, 101, 221)(65, 185, 104, 224)(66, 186, 87, 207)(67, 187, 81, 201)(71, 191, 85, 205)(73, 193, 79, 199)(76, 196, 110, 230)(78, 198, 112, 232)(83, 203, 95, 215)(84, 204, 99, 219)(90, 210, 93, 213)(92, 212, 109, 229)(94, 214, 100, 220)(96, 216, 103, 223)(97, 217, 108, 228)(98, 218, 107, 227)(102, 222, 115, 235)(105, 225, 116, 236)(106, 226, 113, 233)(111, 231, 114, 234)(117, 237, 118, 238)(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, 298, 418, 272, 392, 256, 376)(249, 369, 259, 379, 277, 397, 311, 431, 279, 399, 260, 380)(251, 371, 262, 382, 283, 403, 321, 441, 285, 405, 263, 383)(253, 373, 266, 386, 290, 410, 327, 447, 292, 412, 267, 387)(257, 377, 273, 393, 303, 423, 342, 462, 305, 425, 274, 394)(261, 381, 280, 400, 316, 436, 351, 471, 318, 438, 281, 401)(264, 384, 286, 406, 323, 443, 353, 473, 324, 444, 287, 407)(268, 388, 293, 413, 330, 450, 356, 476, 332, 452, 294, 414)(269, 389, 295, 415, 333, 453, 317, 437, 334, 454, 296, 416)(271, 391, 299, 419, 289, 409, 315, 435, 337, 457, 300, 420)(275, 395, 306, 426, 345, 465, 359, 479, 346, 466, 307, 427)(276, 396, 308, 428, 343, 463, 304, 424, 284, 404, 309, 429)(278, 398, 312, 432, 340, 460, 302, 422, 339, 459, 313, 433)(282, 402, 319, 439, 350, 470, 331, 451, 338, 458, 301, 421)(288, 408, 325, 445, 354, 474, 360, 480, 355, 475, 326, 446)(291, 411, 310, 430, 347, 467, 322, 442, 344, 464, 328, 448)(297, 417, 335, 455, 357, 477, 352, 472, 329, 449, 336, 456)(314, 434, 348, 468, 320, 440, 341, 461, 358, 478, 349, 469)
	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, 275)(19, 276)(20, 278)(21, 250)(22, 282)(23, 284)(24, 252)(25, 288)(26, 289)(27, 291)(28, 254)(29, 255)(30, 297)(31, 256)(32, 301)(33, 302)(34, 304)(35, 258)(36, 259)(37, 310)(38, 260)(39, 314)(40, 315)(41, 317)(42, 262)(43, 320)(44, 263)(45, 296)(46, 322)(47, 300)(48, 265)(49, 266)(50, 312)(51, 267)(52, 329)(53, 308)(54, 331)(55, 328)(56, 285)(57, 270)(58, 326)(59, 309)(60, 287)(61, 272)(62, 273)(63, 341)(64, 274)(65, 344)(66, 327)(67, 321)(68, 293)(69, 299)(70, 277)(71, 325)(72, 290)(73, 319)(74, 279)(75, 280)(76, 350)(77, 281)(78, 352)(79, 313)(80, 283)(81, 307)(82, 286)(83, 335)(84, 339)(85, 311)(86, 298)(87, 306)(88, 295)(89, 292)(90, 333)(91, 294)(92, 349)(93, 330)(94, 340)(95, 323)(96, 343)(97, 348)(98, 347)(99, 324)(100, 334)(101, 303)(102, 355)(103, 336)(104, 305)(105, 356)(106, 353)(107, 338)(108, 337)(109, 332)(110, 316)(111, 354)(112, 318)(113, 346)(114, 351)(115, 342)(116, 345)(117, 358)(118, 357)(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, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.705
Graph:: bipartite
	v = 80 e = 240 f = 140
	degree seq :: [ 4^60, 12^20 ]

E11.705 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 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, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^6, Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1, (Y3 * Y1^-3 * Y3 * Y1^-1)^2, (Y3 * Y1^-1)^6 ]
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, 48, 168, 28, 148, 14, 134)(9, 129, 19, 139, 36, 156, 68, 188, 39, 159, 20, 140)(12, 132, 23, 143, 44, 164, 83, 203, 47, 167, 24, 144)(16, 136, 31, 151, 58, 178, 81, 201, 61, 181, 32, 152)(17, 137, 33, 153, 62, 182, 80, 200, 65, 185, 34, 154)(21, 141, 40, 160, 75, 195, 110, 230, 78, 198, 41, 161)(22, 142, 42, 162, 79, 199, 113, 233, 82, 202, 43, 163)(26, 146, 50, 170, 92, 212, 77, 197, 94, 214, 51, 171)(27, 147, 52, 172, 63, 183, 76, 196, 95, 215, 53, 173)(30, 150, 56, 176, 98, 218, 115, 235, 100, 220, 57, 177)(35, 155, 66, 186, 104, 224, 114, 234, 106, 226, 67, 187)(37, 157, 70, 190, 87, 207, 46, 166, 60, 180, 71, 191)(38, 158, 72, 192, 86, 206, 45, 165, 85, 205, 73, 193)(49, 169, 90, 210, 118, 238, 112, 232, 103, 223, 91, 211)(54, 174, 59, 179, 102, 222, 111, 231, 105, 225, 96, 216)(55, 175, 97, 217, 119, 239, 120, 240, 116, 236, 89, 209)(64, 184, 69, 189, 107, 227, 99, 219, 88, 208, 93, 213)(74, 194, 108, 228, 101, 221, 84, 204, 117, 237, 109, 229)(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, 275)(19, 277)(20, 278)(21, 250)(22, 251)(23, 285)(24, 286)(25, 289)(26, 253)(27, 254)(28, 294)(29, 295)(30, 255)(31, 299)(32, 300)(33, 303)(34, 304)(35, 258)(36, 309)(37, 259)(38, 260)(39, 314)(40, 316)(41, 317)(42, 320)(43, 321)(44, 324)(45, 263)(46, 264)(47, 328)(48, 329)(49, 265)(50, 333)(51, 301)(52, 311)(53, 297)(54, 268)(55, 269)(56, 339)(57, 293)(58, 341)(59, 271)(60, 272)(61, 291)(62, 312)(63, 273)(64, 274)(65, 343)(66, 310)(67, 345)(68, 337)(69, 276)(70, 306)(71, 292)(72, 302)(73, 342)(74, 279)(75, 351)(76, 280)(77, 281)(78, 352)(79, 354)(80, 282)(81, 283)(82, 355)(83, 356)(84, 284)(85, 340)(86, 334)(87, 331)(88, 287)(89, 288)(90, 338)(91, 327)(92, 344)(93, 290)(94, 326)(95, 348)(96, 347)(97, 308)(98, 330)(99, 296)(100, 325)(101, 298)(102, 313)(103, 305)(104, 332)(105, 307)(106, 349)(107, 336)(108, 335)(109, 346)(110, 359)(111, 315)(112, 318)(113, 360)(114, 319)(115, 322)(116, 323)(117, 358)(118, 357)(119, 350)(120, 353)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.704
Graph:: simple bipartite
	v = 140 e = 240 f = 80
	degree seq :: [ 2^120, 12^20 ]

E11.706 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 12})
Quotient :: halfedge
Aut^+ = S3 x (C5 : C4) (small group id <120, 36>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 1
Presentation :: [ X2^2, (X1^-1 * X2)^4, (X1^-2 * X2 * X1^-2)^2, X1^-2 * X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2, X1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 75, 74, 44, 22, 10, 4)(3, 7, 15, 31, 59, 91, 107, 77, 46, 37, 18, 8)(6, 13, 27, 53, 43, 73, 96, 105, 76, 58, 30, 14)(9, 19, 38, 69, 100, 110, 80, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 65, 98, 104, 84, 52, 26)(16, 33, 62, 95, 68, 79, 54, 86, 114, 89, 57, 34)(17, 35, 64, 90, 106, 81, 111, 92, 60, 83, 55, 28)(29, 56, 88, 113, 103, 71, 102, 72, 85, 109, 82, 50)(32, 61, 93, 67, 36, 66, 39, 70, 101, 108, 78, 51)(63, 97, 118, 119, 115, 87, 116, 99, 117, 120, 112, 94)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 63)(35, 65)(37, 68)(38, 56)(40, 71)(41, 72)(42, 70)(44, 59)(45, 76)(47, 78)(48, 79)(49, 81)(52, 83)(53, 85)(55, 87)(58, 90)(61, 94)(62, 96)(64, 97)(66, 99)(67, 98)(69, 89)(73, 92)(74, 100)(75, 104)(77, 106)(80, 109)(82, 112)(84, 113)(86, 115)(88, 116)(91, 114)(93, 110)(95, 117)(101, 107)(102, 118)(103, 105)(108, 119)(111, 120)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 60 f = 30
	degree seq :: [ 12^10 ]

E11.707 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 12})
Quotient :: halfedge
Aut^+ = S3 x (C5 : C4) (small group id <120, 36>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 1
Presentation :: [ X2^2, X1^4, X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1, (X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1)^2, (X1 * X2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 77, 49)(30, 50, 78, 51)(32, 53, 82, 54)(33, 55, 85, 56)(34, 57, 88, 58)(42, 69, 87, 61)(43, 70, 94, 64)(45, 63, 86, 72)(46, 73, 83, 74)(47, 75, 103, 76)(52, 80, 105, 81)(60, 92, 79, 84)(66, 96, 110, 97)(67, 98, 107, 91)(68, 99, 108, 90)(71, 101, 111, 89)(93, 113, 118, 106)(95, 115, 104, 109)(100, 117, 102, 116)(112, 120, 114, 119)
	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, 71)(48, 70)(49, 73)(50, 72)(51, 79)(53, 83)(54, 84)(55, 86)(56, 87)(57, 89)(58, 90)(59, 91)(62, 93)(65, 95)(69, 100)(74, 102)(75, 104)(76, 99)(77, 98)(78, 96)(80, 106)(81, 107)(82, 108)(85, 109)(88, 110)(92, 112)(94, 114)(97, 116)(101, 105)(103, 113)(111, 119)(115, 120)(117, 118)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 30 e = 60 f = 10
	degree seq :: [ 4^30 ]

E11.708 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = S3 x (C5 : C4) (small group id <120, 36>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 1
Presentation :: [ X1^2, X2^4, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1, X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1, X2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-2 * X1, (X2^-1 * X1)^12 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 53)(42, 60)(43, 56)(45, 72)(47, 55)(48, 63)(50, 61)(51, 79)(52, 80)(58, 87)(64, 94)(66, 89)(67, 92)(68, 83)(69, 98)(70, 93)(71, 96)(73, 90)(74, 81)(75, 88)(76, 103)(77, 82)(78, 85)(84, 108)(86, 106)(91, 113)(95, 115)(97, 109)(99, 107)(100, 117)(101, 112)(102, 111)(104, 116)(105, 118)(110, 120)(114, 119)(121, 123, 128, 124)(122, 125, 131, 126)(127, 133, 144, 134)(129, 136, 149, 137)(130, 138, 152, 139)(132, 141, 157, 142)(135, 146, 165, 147)(140, 154, 178, 155)(143, 159, 186, 160)(145, 162, 189, 163)(148, 167, 195, 168)(150, 170, 198, 171)(151, 172, 201, 173)(153, 175, 204, 176)(156, 180, 210, 181)(158, 183, 213, 184)(161, 187, 217, 188)(164, 190, 219, 191)(166, 193, 222, 194)(169, 196, 224, 197)(174, 202, 227, 203)(177, 205, 229, 206)(179, 208, 232, 209)(182, 211, 234, 212)(185, 215, 199, 216)(192, 220, 233, 221)(200, 225, 214, 226)(207, 230, 223, 231)(218, 236, 238, 237)(228, 239, 235, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 120 f = 10
	degree seq :: [ 2^60, 4^30 ]

E11.709 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = S3 x (C5 : C4) (small group id <120, 36>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, X1^4, (X2 * X1^-1 * X2^2)^2, X1^-1 * X2^-2 * X1^-1 * X2^2 * X1 * X2^-2 * X1^-1, X2^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 61, 29)(17, 37, 73, 39)(20, 43, 81, 41)(22, 47, 85, 45)(24, 51, 83, 44)(26, 46, 86, 55)(27, 56, 98, 58)(30, 62, 79, 40)(32, 57, 80, 63)(33, 65, 103, 67)(36, 71, 109, 69)(38, 75, 111, 72)(42, 82, 108, 68)(48, 66, 60, 88)(50, 74, 104, 91)(52, 84, 105, 90)(53, 92, 119, 94)(54, 95, 107, 96)(59, 70, 110, 100)(64, 76, 112, 99)(77, 113, 93, 115)(78, 116, 89, 117)(87, 118, 101, 120)(97, 114, 102, 106)(121, 123, 130, 144, 172, 213, 230, 222, 184, 152, 134, 125)(122, 127, 137, 158, 196, 234, 206, 240, 204, 164, 140, 128)(124, 132, 147, 177, 219, 239, 202, 235, 210, 168, 142, 129)(126, 135, 153, 186, 225, 221, 182, 214, 232, 192, 156, 136)(131, 146, 174, 151, 183, 201, 237, 220, 233, 193, 170, 143)(133, 149, 180, 187, 226, 190, 155, 189, 171, 145, 173, 150)(138, 160, 198, 163, 203, 229, 215, 175, 217, 223, 194, 157)(139, 161, 200, 178, 207, 166, 141, 165, 195, 159, 197, 162)(148, 179, 209, 167, 208, 181, 216, 228, 212, 169, 211, 176)(154, 188, 227, 191, 231, 205, 236, 199, 238, 218, 224, 185)
	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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: chiral
Dual of E11.711
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 120 f = 60
	degree seq :: [ 4^30, 12^10 ]

E11.710 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = S3 x (C5 : C4) (small group id <120, 36>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, (X1^3 * X2 * X1)^2, X2 * X1 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-1, X1^12 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 45, 75, 74, 44, 22, 10, 4)(3, 7, 15, 31, 59, 91, 107, 77, 46, 37, 18, 8)(6, 13, 27, 53, 43, 73, 96, 105, 76, 58, 30, 14)(9, 19, 38, 69, 100, 110, 80, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 65, 98, 104, 84, 52, 26)(16, 33, 62, 95, 68, 79, 54, 86, 114, 89, 57, 34)(17, 35, 64, 90, 106, 81, 111, 92, 60, 83, 55, 28)(29, 56, 88, 113, 103, 71, 102, 72, 85, 109, 82, 50)(32, 61, 93, 67, 36, 66, 39, 70, 101, 108, 78, 51)(63, 97, 118, 119, 115, 87, 116, 99, 117, 120, 112, 94)(121, 123)(122, 126)(124, 129)(125, 132)(127, 136)(128, 137)(130, 141)(131, 144)(133, 148)(134, 149)(135, 152)(138, 156)(139, 159)(140, 153)(142, 163)(143, 166)(145, 170)(146, 171)(147, 174)(150, 177)(151, 180)(154, 183)(155, 185)(157, 188)(158, 176)(160, 191)(161, 192)(162, 190)(164, 179)(165, 196)(167, 198)(168, 199)(169, 201)(172, 203)(173, 205)(175, 207)(178, 210)(181, 214)(182, 216)(184, 217)(186, 219)(187, 218)(189, 209)(193, 212)(194, 220)(195, 224)(197, 226)(200, 229)(202, 232)(204, 233)(206, 235)(208, 236)(211, 234)(213, 230)(215, 237)(221, 227)(222, 238)(223, 225)(228, 239)(231, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 70 e = 120 f = 30
	degree seq :: [ 2^60, 12^10 ]

E11.711 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = S3 x (C5 : C4) (small group id <120, 36>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 1
Presentation :: [ X1^2, X2^4, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1, X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1, X2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-2 * X1, (X2^-1 * X1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 25, 145)(16, 136, 28, 148)(17, 137, 30, 150)(18, 138, 31, 151)(19, 139, 33, 153)(21, 141, 36, 156)(22, 142, 38, 158)(24, 144, 41, 161)(26, 146, 44, 164)(27, 147, 46, 166)(29, 149, 49, 169)(32, 152, 54, 174)(34, 154, 57, 177)(35, 155, 59, 179)(37, 157, 62, 182)(39, 159, 65, 185)(40, 160, 53, 173)(42, 162, 60, 180)(43, 163, 56, 176)(45, 165, 72, 192)(47, 167, 55, 175)(48, 168, 63, 183)(50, 170, 61, 181)(51, 171, 79, 199)(52, 172, 80, 200)(58, 178, 87, 207)(64, 184, 94, 214)(66, 186, 89, 209)(67, 187, 92, 212)(68, 188, 83, 203)(69, 189, 98, 218)(70, 190, 93, 213)(71, 191, 96, 216)(73, 193, 90, 210)(74, 194, 81, 201)(75, 195, 88, 208)(76, 196, 103, 223)(77, 197, 82, 202)(78, 198, 85, 205)(84, 204, 108, 228)(86, 206, 106, 226)(91, 211, 113, 233)(95, 215, 115, 235)(97, 217, 109, 229)(99, 219, 107, 227)(100, 220, 117, 237)(101, 221, 112, 232)(102, 222, 111, 231)(104, 224, 116, 236)(105, 225, 118, 238)(110, 230, 120, 240)(114, 234, 119, 239)
	L = (1, 123)(2, 125)(3, 128)(4, 121)(5, 131)(6, 122)(7, 133)(8, 124)(9, 136)(10, 138)(11, 126)(12, 141)(13, 144)(14, 127)(15, 146)(16, 149)(17, 129)(18, 152)(19, 130)(20, 154)(21, 157)(22, 132)(23, 159)(24, 134)(25, 162)(26, 165)(27, 135)(28, 167)(29, 137)(30, 170)(31, 172)(32, 139)(33, 175)(34, 178)(35, 140)(36, 180)(37, 142)(38, 183)(39, 186)(40, 143)(41, 187)(42, 189)(43, 145)(44, 190)(45, 147)(46, 193)(47, 195)(48, 148)(49, 196)(50, 198)(51, 150)(52, 201)(53, 151)(54, 202)(55, 204)(56, 153)(57, 205)(58, 155)(59, 208)(60, 210)(61, 156)(62, 211)(63, 213)(64, 158)(65, 215)(66, 160)(67, 217)(68, 161)(69, 163)(70, 219)(71, 164)(72, 220)(73, 222)(74, 166)(75, 168)(76, 224)(77, 169)(78, 171)(79, 216)(80, 225)(81, 173)(82, 227)(83, 174)(84, 176)(85, 229)(86, 177)(87, 230)(88, 232)(89, 179)(90, 181)(91, 234)(92, 182)(93, 184)(94, 226)(95, 199)(96, 185)(97, 188)(98, 236)(99, 191)(100, 233)(101, 192)(102, 194)(103, 231)(104, 197)(105, 214)(106, 200)(107, 203)(108, 239)(109, 206)(110, 223)(111, 207)(112, 209)(113, 221)(114, 212)(115, 240)(116, 238)(117, 218)(118, 237)(119, 235)(120, 228)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: chiral
Dual of E11.709
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 60 e = 120 f = 40
	degree seq :: [ 4^60 ]

E11.712 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = S3 x (C5 : C4) (small group id <120, 36>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, X1^4, (X2 * X1^-1 * X2^2)^2, X1^-1 * X2^-2 * X1^-1 * X2^2 * X1 * X2^-2 * X1^-1, X2^12 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 21, 141, 11, 131)(5, 125, 13, 133, 18, 138, 7, 127)(8, 128, 19, 139, 34, 154, 15, 135)(10, 130, 23, 143, 49, 169, 25, 145)(12, 132, 16, 136, 35, 155, 28, 148)(14, 134, 31, 151, 61, 181, 29, 149)(17, 137, 37, 157, 73, 193, 39, 159)(20, 140, 43, 163, 81, 201, 41, 161)(22, 142, 47, 167, 85, 205, 45, 165)(24, 144, 51, 171, 83, 203, 44, 164)(26, 146, 46, 166, 86, 206, 55, 175)(27, 147, 56, 176, 98, 218, 58, 178)(30, 150, 62, 182, 79, 199, 40, 160)(32, 152, 57, 177, 80, 200, 63, 183)(33, 153, 65, 185, 103, 223, 67, 187)(36, 156, 71, 191, 109, 229, 69, 189)(38, 158, 75, 195, 111, 231, 72, 192)(42, 162, 82, 202, 108, 228, 68, 188)(48, 168, 66, 186, 60, 180, 88, 208)(50, 170, 74, 194, 104, 224, 91, 211)(52, 172, 84, 204, 105, 225, 90, 210)(53, 173, 92, 212, 119, 239, 94, 214)(54, 174, 95, 215, 107, 227, 96, 216)(59, 179, 70, 190, 110, 230, 100, 220)(64, 184, 76, 196, 112, 232, 99, 219)(77, 197, 113, 233, 93, 213, 115, 235)(78, 198, 116, 236, 89, 209, 117, 237)(87, 207, 118, 238, 101, 221, 120, 240)(97, 217, 114, 234, 102, 222, 106, 226)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 135)(7, 137)(8, 122)(9, 124)(10, 144)(11, 146)(12, 147)(13, 149)(14, 125)(15, 153)(16, 126)(17, 158)(18, 160)(19, 161)(20, 128)(21, 165)(22, 129)(23, 131)(24, 172)(25, 173)(26, 174)(27, 177)(28, 179)(29, 180)(30, 133)(31, 183)(32, 134)(33, 186)(34, 188)(35, 189)(36, 136)(37, 138)(38, 196)(39, 197)(40, 198)(41, 200)(42, 139)(43, 203)(44, 140)(45, 195)(46, 141)(47, 208)(48, 142)(49, 211)(50, 143)(51, 145)(52, 213)(53, 150)(54, 151)(55, 217)(56, 148)(57, 219)(58, 207)(59, 209)(60, 187)(61, 216)(62, 214)(63, 201)(64, 152)(65, 154)(66, 225)(67, 226)(68, 227)(69, 171)(70, 155)(71, 231)(72, 156)(73, 170)(74, 157)(75, 159)(76, 234)(77, 162)(78, 163)(79, 238)(80, 178)(81, 237)(82, 235)(83, 229)(84, 164)(85, 236)(86, 240)(87, 166)(88, 181)(89, 167)(90, 168)(91, 176)(92, 169)(93, 230)(94, 232)(95, 175)(96, 228)(97, 223)(98, 224)(99, 239)(100, 233)(101, 182)(102, 184)(103, 194)(104, 185)(105, 221)(106, 190)(107, 191)(108, 212)(109, 215)(110, 222)(111, 205)(112, 192)(113, 193)(114, 206)(115, 210)(116, 199)(117, 220)(118, 218)(119, 202)(120, 204)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 30 e = 120 f = 70
	degree seq :: [ 8^30 ]

E11.713 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = S3 x (C5 : C4) (small group id <120, 36>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, (X1^3 * X2 * X1)^2, X2 * X1 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-1, X1^12 ]
Map::
	R = (1, 121, 2, 122, 5, 125, 11, 131, 23, 143, 45, 165, 75, 195, 74, 194, 44, 164, 22, 142, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 31, 151, 59, 179, 91, 211, 107, 227, 77, 197, 46, 166, 37, 157, 18, 138, 8, 128)(6, 126, 13, 133, 27, 147, 53, 173, 43, 163, 73, 193, 96, 216, 105, 225, 76, 196, 58, 178, 30, 150, 14, 134)(9, 129, 19, 139, 38, 158, 69, 189, 100, 220, 110, 230, 80, 200, 48, 168, 24, 144, 47, 167, 40, 160, 20, 140)(12, 132, 25, 145, 49, 169, 42, 162, 21, 141, 41, 161, 65, 185, 98, 218, 104, 224, 84, 204, 52, 172, 26, 146)(16, 136, 33, 153, 62, 182, 95, 215, 68, 188, 79, 199, 54, 174, 86, 206, 114, 234, 89, 209, 57, 177, 34, 154)(17, 137, 35, 155, 64, 184, 90, 210, 106, 226, 81, 201, 111, 231, 92, 212, 60, 180, 83, 203, 55, 175, 28, 148)(29, 149, 56, 176, 88, 208, 113, 233, 103, 223, 71, 191, 102, 222, 72, 192, 85, 205, 109, 229, 82, 202, 50, 170)(32, 152, 61, 181, 93, 213, 67, 187, 36, 156, 66, 186, 39, 159, 70, 190, 101, 221, 108, 228, 78, 198, 51, 171)(63, 183, 97, 217, 118, 238, 119, 239, 115, 235, 87, 207, 116, 236, 99, 219, 117, 237, 120, 240, 112, 232, 94, 214)
	L = (1, 123)(2, 126)(3, 121)(4, 129)(5, 132)(6, 122)(7, 136)(8, 137)(9, 124)(10, 141)(11, 144)(12, 125)(13, 148)(14, 149)(15, 152)(16, 127)(17, 128)(18, 156)(19, 159)(20, 153)(21, 130)(22, 163)(23, 166)(24, 131)(25, 170)(26, 171)(27, 174)(28, 133)(29, 134)(30, 177)(31, 180)(32, 135)(33, 140)(34, 183)(35, 185)(36, 138)(37, 188)(38, 176)(39, 139)(40, 191)(41, 192)(42, 190)(43, 142)(44, 179)(45, 196)(46, 143)(47, 198)(48, 199)(49, 201)(50, 145)(51, 146)(52, 203)(53, 205)(54, 147)(55, 207)(56, 158)(57, 150)(58, 210)(59, 164)(60, 151)(61, 214)(62, 216)(63, 154)(64, 217)(65, 155)(66, 219)(67, 218)(68, 157)(69, 209)(70, 162)(71, 160)(72, 161)(73, 212)(74, 220)(75, 224)(76, 165)(77, 226)(78, 167)(79, 168)(80, 229)(81, 169)(82, 232)(83, 172)(84, 233)(85, 173)(86, 235)(87, 175)(88, 236)(89, 189)(90, 178)(91, 234)(92, 193)(93, 230)(94, 181)(95, 237)(96, 182)(97, 184)(98, 187)(99, 186)(100, 194)(101, 227)(102, 238)(103, 225)(104, 195)(105, 223)(106, 197)(107, 221)(108, 239)(109, 200)(110, 213)(111, 240)(112, 202)(113, 204)(114, 211)(115, 206)(116, 208)(117, 215)(118, 222)(119, 228)(120, 231)
	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 :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 10 e = 120 f = 90
	degree seq :: [ 24^10 ]

E11.714 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = (C20 : C4) : C2 (small group id <160, 82>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X1^-1 * X2)^4, (X1^-1 * X2 * X1^-3)^2, X1^3 * X2 * X1^-4 * X2 * X1, X2 * X1^-2 * X2 * X1^2 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 121, 100, 127, 139, 110, 90)(64, 98, 133, 147, 120, 91, 126, 99)(68, 101, 135, 106, 71, 105, 134, 102)(75, 108, 138, 114, 78, 113, 141, 109)(82, 119, 104, 124, 97, 132, 137, 116)(85, 122, 148, 125, 142, 117, 146, 123)(94, 128, 150, 131, 96, 130, 151, 129)(112, 143, 154, 145, 136, 140, 153, 144)(149, 155, 159, 158, 152, 156, 160, 157)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 123)(93, 127)(95, 113)(99, 134)(101, 119)(102, 130)(103, 136)(105, 132)(106, 128)(107, 137)(108, 139)(109, 140)(111, 142)(114, 143)(115, 145)(118, 144)(126, 149)(129, 138)(131, 141)(133, 152)(135, 147)(146, 155)(148, 156)(150, 158)(151, 157)(153, 159)(154, 160)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.715 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = (C20 : C4) : C2 (small group id <160, 82>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1)^2, (X2 * X1 * X2 * X1^-2 * X2 * X1^-1)^2, (X1 * X2)^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, 93, 70)(43, 71, 114, 72)(45, 74, 92, 75)(46, 76, 89, 77)(47, 78, 122, 79)(52, 86, 126, 87)(60, 98, 85, 99)(61, 100, 137, 101)(63, 103, 84, 104)(64, 105, 81, 106)(66, 108, 133, 109)(67, 110, 128, 97)(68, 111, 129, 96)(73, 117, 134, 95)(82, 124, 150, 125)(90, 130, 152, 131)(102, 140, 151, 127)(107, 145, 123, 132)(112, 135, 121, 144)(113, 147, 153, 142)(115, 141, 120, 139)(116, 149, 118, 136)(119, 143, 154, 138)(146, 156, 159, 158)(148, 155, 160, 157)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 112)(70, 113)(71, 115)(72, 116)(74, 118)(75, 119)(76, 120)(77, 121)(78, 123)(79, 111)(80, 110)(83, 108)(86, 127)(87, 128)(88, 129)(91, 132)(94, 133)(98, 135)(99, 136)(100, 138)(101, 139)(103, 141)(104, 142)(105, 143)(106, 144)(109, 146)(114, 148)(117, 126)(122, 140)(124, 149)(125, 147)(130, 153)(131, 154)(134, 155)(137, 156)(145, 157)(150, 158)(151, 159)(152, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.716 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C20 : C4) : C2 (small group id <160, 82>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 1
Presentation :: [ X1^2, X2^4, X2 * X1 * X2^-2 * X1 * X2 * X1 * X2 * X1 * X2^2 * X1 * X2 * X1, (X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-1)^2, (X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1)^2, (X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1)^2, (X2 * X1)^8, X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 67)(42, 70)(43, 72)(45, 75)(47, 78)(48, 80)(50, 83)(51, 85)(52, 86)(53, 88)(55, 91)(56, 93)(58, 96)(60, 99)(61, 101)(63, 104)(64, 106)(66, 98)(68, 103)(69, 90)(71, 114)(73, 105)(74, 118)(76, 100)(77, 87)(79, 97)(81, 124)(82, 89)(84, 94)(92, 133)(95, 137)(102, 143)(107, 126)(108, 135)(109, 142)(110, 132)(111, 136)(112, 131)(113, 129)(115, 141)(116, 127)(117, 130)(119, 147)(120, 140)(121, 139)(122, 134)(123, 128)(125, 146)(138, 153)(144, 152)(145, 154)(148, 151)(149, 156)(150, 155)(157, 160)(158, 159)(161, 163, 168, 164)(162, 165, 171, 166)(167, 173, 184, 174)(169, 176, 189, 177)(170, 178, 192, 179)(172, 181, 197, 182)(175, 186, 205, 187)(180, 194, 218, 195)(183, 199, 226, 200)(185, 202, 231, 203)(188, 207, 239, 208)(190, 210, 244, 211)(191, 212, 247, 213)(193, 215, 252, 216)(196, 220, 260, 221)(198, 223, 265, 224)(201, 228, 271, 229)(204, 233, 277, 234)(206, 236, 281, 237)(209, 241, 285, 242)(214, 249, 290, 250)(217, 254, 296, 255)(219, 257, 300, 258)(222, 262, 304, 263)(225, 267, 245, 268)(227, 269, 305, 270)(230, 272, 243, 273)(232, 275, 238, 276)(235, 279, 303, 280)(240, 282, 310, 283)(246, 286, 266, 287)(248, 288, 311, 289)(251, 291, 264, 292)(253, 294, 259, 295)(256, 298, 284, 299)(261, 301, 316, 302)(274, 306, 317, 307)(278, 308, 318, 309)(293, 312, 319, 313)(297, 314, 320, 315)
	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) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 160 f = 20
	degree seq :: [ 2^80, 4^40 ]

E11.717 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C20 : C4) : C2 (small group id <160, 82>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 1
Presentation :: [ X1^4, (X2^-1 * X1^-1)^2, X2^8, (X2^2 * X1^-1 * X2)^2, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2^2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 61, 29)(17, 37, 72, 39)(20, 43, 80, 41)(22, 47, 84, 45)(24, 51, 82, 44)(26, 46, 85, 55)(27, 56, 99, 58)(30, 62, 78, 40)(32, 57, 101, 63)(33, 64, 106, 66)(36, 70, 114, 68)(38, 74, 116, 71)(42, 81, 112, 67)(48, 65, 108, 87)(50, 92, 107, 90)(52, 75, 109, 89)(53, 91, 128, 95)(54, 96, 111, 97)(59, 69, 115, 102)(60, 103, 139, 104)(73, 119, 100, 117)(76, 118, 146, 122)(77, 123, 88, 124)(79, 126, 151, 127)(83, 129, 153, 131)(86, 125, 105, 132)(93, 130, 154, 136)(94, 137, 148, 120)(98, 133, 143, 110)(113, 144, 159, 145)(121, 149, 135, 141)(134, 142, 157, 147)(138, 152, 158, 155)(140, 150, 160, 156)(161, 163, 170, 184, 212, 192, 174, 165)(162, 167, 177, 198, 235, 204, 180, 168)(164, 172, 187, 217, 249, 208, 182, 169)(166, 175, 193, 225, 269, 231, 196, 176)(171, 186, 214, 191, 223, 253, 210, 183)(173, 189, 220, 254, 211, 185, 213, 190)(178, 200, 237, 203, 242, 280, 233, 197)(179, 201, 239, 281, 234, 199, 236, 202)(181, 205, 243, 290, 261, 218, 246, 206)(188, 219, 248, 207, 247, 294, 260, 216)(194, 227, 271, 230, 276, 301, 267, 224)(195, 228, 273, 302, 268, 226, 270, 229)(209, 250, 295, 263, 221, 257, 272, 251)(215, 258, 266, 252, 296, 304, 274, 256)(222, 255, 298, 313, 297, 264, 300, 265)(232, 277, 307, 286, 240, 284, 262, 278)(238, 285, 259, 279, 308, 289, 244, 283)(241, 282, 310, 299, 309, 287, 312, 288)(245, 292, 316, 319, 314, 291, 315, 293)(275, 303, 318, 311, 317, 305, 320, 306)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E11.719
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 160 f = 80
	degree seq :: [ 4^40, 8^20 ]

E11.718 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C20 : C4) : C2 (small group id <160, 82>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X2 * X1^-1)^4, (X1^-1 * X2 * X1^-3)^2, X1^3 * X2 * X1^-4 * X2 * X1, X2 * X1^-2 * X2 * X1^2 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 121, 100, 127, 139, 110, 90)(64, 98, 133, 147, 120, 91, 126, 99)(68, 101, 135, 106, 71, 105, 134, 102)(75, 108, 138, 114, 78, 113, 141, 109)(82, 119, 104, 124, 97, 132, 137, 116)(85, 122, 148, 125, 142, 117, 146, 123)(94, 128, 150, 131, 96, 130, 151, 129)(112, 143, 154, 145, 136, 140, 153, 144)(149, 155, 159, 158, 152, 156, 160, 157)(161, 163)(162, 166)(164, 169)(165, 172)(167, 176)(168, 177)(170, 181)(171, 184)(173, 188)(174, 189)(175, 192)(178, 196)(179, 199)(180, 193)(182, 203)(183, 204)(185, 208)(186, 209)(187, 212)(190, 215)(191, 217)(194, 221)(195, 224)(197, 227)(198, 228)(200, 231)(201, 232)(202, 229)(205, 233)(206, 234)(207, 235)(210, 238)(211, 239)(213, 242)(214, 245)(216, 248)(218, 250)(219, 251)(220, 254)(222, 256)(223, 257)(225, 260)(226, 258)(230, 264)(236, 270)(237, 272)(240, 276)(241, 277)(243, 280)(244, 281)(246, 284)(247, 282)(249, 285)(252, 283)(253, 287)(255, 273)(259, 294)(261, 279)(262, 290)(263, 296)(265, 292)(266, 288)(267, 297)(268, 299)(269, 300)(271, 302)(274, 303)(275, 305)(278, 304)(286, 309)(289, 298)(291, 301)(293, 312)(295, 307)(306, 315)(308, 316)(310, 318)(311, 317)(313, 319)(314, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 100 e = 160 f = 40
	degree seq :: [ 2^80, 8^20 ]

E11.719 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C20 : C4) : C2 (small group id <160, 82>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 1
Presentation :: [ X1^2, X2^4, X2 * X1 * X2^-2 * X1 * X2 * X1 * X2 * X1 * X2^2 * X1 * X2 * X1, (X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-1)^2, (X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1)^2, (X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1)^2, (X2 * X1)^8, X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 10, 170)(6, 166, 12, 172)(8, 168, 15, 175)(11, 171, 20, 180)(13, 173, 23, 183)(14, 174, 25, 185)(16, 176, 28, 188)(17, 177, 30, 190)(18, 178, 31, 191)(19, 179, 33, 193)(21, 181, 36, 196)(22, 182, 38, 198)(24, 184, 41, 201)(26, 186, 44, 204)(27, 187, 46, 206)(29, 189, 49, 209)(32, 192, 54, 214)(34, 194, 57, 217)(35, 195, 59, 219)(37, 197, 62, 222)(39, 199, 65, 225)(40, 200, 67, 227)(42, 202, 70, 230)(43, 203, 72, 232)(45, 205, 75, 235)(47, 207, 78, 238)(48, 208, 80, 240)(50, 210, 83, 243)(51, 211, 85, 245)(52, 212, 86, 246)(53, 213, 88, 248)(55, 215, 91, 251)(56, 216, 93, 253)(58, 218, 96, 256)(60, 220, 99, 259)(61, 221, 101, 261)(63, 223, 104, 264)(64, 224, 106, 266)(66, 226, 98, 258)(68, 228, 103, 263)(69, 229, 90, 250)(71, 231, 114, 274)(73, 233, 105, 265)(74, 234, 118, 278)(76, 236, 100, 260)(77, 237, 87, 247)(79, 239, 97, 257)(81, 241, 124, 284)(82, 242, 89, 249)(84, 244, 94, 254)(92, 252, 133, 293)(95, 255, 137, 297)(102, 262, 143, 303)(107, 267, 126, 286)(108, 268, 135, 295)(109, 269, 142, 302)(110, 270, 132, 292)(111, 271, 136, 296)(112, 272, 131, 291)(113, 273, 129, 289)(115, 275, 141, 301)(116, 276, 127, 287)(117, 277, 130, 290)(119, 279, 147, 307)(120, 280, 140, 300)(121, 281, 139, 299)(122, 282, 134, 294)(123, 283, 128, 288)(125, 285, 146, 306)(138, 298, 153, 313)(144, 304, 152, 312)(145, 305, 154, 314)(148, 308, 151, 311)(149, 309, 156, 316)(150, 310, 155, 315)(157, 317, 160, 320)(158, 318, 159, 319)
	L = (1, 163)(2, 165)(3, 168)(4, 161)(5, 171)(6, 162)(7, 173)(8, 164)(9, 176)(10, 178)(11, 166)(12, 181)(13, 184)(14, 167)(15, 186)(16, 189)(17, 169)(18, 192)(19, 170)(20, 194)(21, 197)(22, 172)(23, 199)(24, 174)(25, 202)(26, 205)(27, 175)(28, 207)(29, 177)(30, 210)(31, 212)(32, 179)(33, 215)(34, 218)(35, 180)(36, 220)(37, 182)(38, 223)(39, 226)(40, 183)(41, 228)(42, 231)(43, 185)(44, 233)(45, 187)(46, 236)(47, 239)(48, 188)(49, 241)(50, 244)(51, 190)(52, 247)(53, 191)(54, 249)(55, 252)(56, 193)(57, 254)(58, 195)(59, 257)(60, 260)(61, 196)(62, 262)(63, 265)(64, 198)(65, 267)(66, 200)(67, 269)(68, 271)(69, 201)(70, 272)(71, 203)(72, 275)(73, 277)(74, 204)(75, 279)(76, 281)(77, 206)(78, 276)(79, 208)(80, 282)(81, 285)(82, 209)(83, 273)(84, 211)(85, 268)(86, 286)(87, 213)(88, 288)(89, 290)(90, 214)(91, 291)(92, 216)(93, 294)(94, 296)(95, 217)(96, 298)(97, 300)(98, 219)(99, 295)(100, 221)(101, 301)(102, 304)(103, 222)(104, 292)(105, 224)(106, 287)(107, 245)(108, 225)(109, 305)(110, 227)(111, 229)(112, 243)(113, 230)(114, 306)(115, 238)(116, 232)(117, 234)(118, 308)(119, 303)(120, 235)(121, 237)(122, 310)(123, 240)(124, 299)(125, 242)(126, 266)(127, 246)(128, 311)(129, 248)(130, 250)(131, 264)(132, 251)(133, 312)(134, 259)(135, 253)(136, 255)(137, 314)(138, 284)(139, 256)(140, 258)(141, 316)(142, 261)(143, 280)(144, 263)(145, 270)(146, 317)(147, 274)(148, 318)(149, 278)(150, 283)(151, 289)(152, 319)(153, 293)(154, 320)(155, 297)(156, 302)(157, 307)(158, 309)(159, 313)(160, 315)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Dual of E11.717
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 80 e = 160 f = 60
	degree seq :: [ 4^80 ]

E11.720 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C20 : C4) : C2 (small group id <160, 82>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 1
Presentation :: [ X1^4, (X2^-1 * X1^-1)^2, X2^8, (X2^2 * X1^-1 * X2)^2, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2^2 * X1^-1 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 21, 181, 11, 171)(5, 165, 13, 173, 18, 178, 7, 167)(8, 168, 19, 179, 34, 194, 15, 175)(10, 170, 23, 183, 49, 209, 25, 185)(12, 172, 16, 176, 35, 195, 28, 188)(14, 174, 31, 191, 61, 221, 29, 189)(17, 177, 37, 197, 72, 232, 39, 199)(20, 180, 43, 203, 80, 240, 41, 201)(22, 182, 47, 207, 84, 244, 45, 205)(24, 184, 51, 211, 82, 242, 44, 204)(26, 186, 46, 206, 85, 245, 55, 215)(27, 187, 56, 216, 99, 259, 58, 218)(30, 190, 62, 222, 78, 238, 40, 200)(32, 192, 57, 217, 101, 261, 63, 223)(33, 193, 64, 224, 106, 266, 66, 226)(36, 196, 70, 230, 114, 274, 68, 228)(38, 198, 74, 234, 116, 276, 71, 231)(42, 202, 81, 241, 112, 272, 67, 227)(48, 208, 65, 225, 108, 268, 87, 247)(50, 210, 92, 252, 107, 267, 90, 250)(52, 212, 75, 235, 109, 269, 89, 249)(53, 213, 91, 251, 128, 288, 95, 255)(54, 214, 96, 256, 111, 271, 97, 257)(59, 219, 69, 229, 115, 275, 102, 262)(60, 220, 103, 263, 139, 299, 104, 264)(73, 233, 119, 279, 100, 260, 117, 277)(76, 236, 118, 278, 146, 306, 122, 282)(77, 237, 123, 283, 88, 248, 124, 284)(79, 239, 126, 286, 151, 311, 127, 287)(83, 243, 129, 289, 153, 313, 131, 291)(86, 246, 125, 285, 105, 265, 132, 292)(93, 253, 130, 290, 154, 314, 136, 296)(94, 254, 137, 297, 148, 308, 120, 280)(98, 258, 133, 293, 143, 303, 110, 270)(113, 273, 144, 304, 159, 319, 145, 305)(121, 281, 149, 309, 135, 295, 141, 301)(134, 294, 142, 302, 157, 317, 147, 307)(138, 298, 152, 312, 158, 318, 155, 315)(140, 300, 150, 310, 160, 320, 156, 316)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 175)(7, 177)(8, 162)(9, 164)(10, 184)(11, 186)(12, 187)(13, 189)(14, 165)(15, 193)(16, 166)(17, 198)(18, 200)(19, 201)(20, 168)(21, 205)(22, 169)(23, 171)(24, 212)(25, 213)(26, 214)(27, 217)(28, 219)(29, 220)(30, 173)(31, 223)(32, 174)(33, 225)(34, 227)(35, 228)(36, 176)(37, 178)(38, 235)(39, 236)(40, 237)(41, 239)(42, 179)(43, 242)(44, 180)(45, 243)(46, 181)(47, 247)(48, 182)(49, 250)(50, 183)(51, 185)(52, 192)(53, 190)(54, 191)(55, 258)(56, 188)(57, 249)(58, 246)(59, 248)(60, 254)(61, 257)(62, 255)(63, 253)(64, 194)(65, 269)(66, 270)(67, 271)(68, 273)(69, 195)(70, 276)(71, 196)(72, 277)(73, 197)(74, 199)(75, 204)(76, 202)(77, 203)(78, 285)(79, 281)(80, 284)(81, 282)(82, 280)(83, 290)(84, 283)(85, 292)(86, 206)(87, 294)(88, 207)(89, 208)(90, 295)(91, 209)(92, 296)(93, 210)(94, 211)(95, 298)(96, 215)(97, 272)(98, 266)(99, 279)(100, 216)(101, 218)(102, 278)(103, 221)(104, 300)(105, 222)(106, 252)(107, 224)(108, 226)(109, 231)(110, 229)(111, 230)(112, 251)(113, 302)(114, 256)(115, 303)(116, 301)(117, 307)(118, 232)(119, 308)(120, 233)(121, 234)(122, 310)(123, 238)(124, 262)(125, 259)(126, 240)(127, 312)(128, 241)(129, 244)(130, 261)(131, 315)(132, 316)(133, 245)(134, 260)(135, 263)(136, 304)(137, 264)(138, 313)(139, 309)(140, 265)(141, 267)(142, 268)(143, 318)(144, 274)(145, 320)(146, 275)(147, 286)(148, 289)(149, 287)(150, 299)(151, 317)(152, 288)(153, 297)(154, 291)(155, 293)(156, 319)(157, 305)(158, 311)(159, 314)(160, 306)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 40 e = 160 f = 100
	degree seq :: [ 8^40 ]

E11.721 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C20 : C4) : C2 (small group id <160, 82>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X2 * X1^-1)^4, (X1^-1 * X2 * X1^-3)^2, X1^3 * X2 * X1^-4 * X2 * X1, X2 * X1^-2 * X2 * X1^2 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 ]
Map::
	R = (1, 161, 2, 162, 5, 165, 11, 171, 23, 183, 22, 182, 10, 170, 4, 164)(3, 163, 7, 167, 15, 175, 31, 191, 44, 204, 37, 197, 18, 178, 8, 168)(6, 166, 13, 173, 27, 187, 51, 211, 43, 203, 56, 216, 30, 190, 14, 174)(9, 169, 19, 179, 38, 198, 46, 206, 24, 184, 45, 205, 40, 200, 20, 180)(12, 172, 25, 185, 47, 207, 42, 202, 21, 181, 41, 201, 50, 210, 26, 186)(16, 176, 33, 193, 60, 220, 93, 253, 67, 227, 74, 234, 62, 222, 34, 194)(17, 177, 35, 195, 63, 223, 88, 248, 57, 217, 83, 243, 53, 213, 28, 188)(29, 189, 54, 214, 84, 244, 72, 232, 79, 239, 111, 271, 76, 236, 48, 208)(32, 192, 58, 218, 89, 249, 66, 226, 36, 196, 65, 225, 92, 252, 59, 219)(39, 199, 69, 229, 103, 263, 107, 267, 73, 233, 49, 209, 77, 237, 70, 230)(52, 212, 80, 240, 115, 275, 87, 247, 55, 215, 86, 246, 118, 278, 81, 241)(61, 221, 95, 255, 121, 281, 100, 260, 127, 287, 139, 299, 110, 270, 90, 250)(64, 224, 98, 258, 133, 293, 147, 307, 120, 280, 91, 251, 126, 286, 99, 259)(68, 228, 101, 261, 135, 295, 106, 266, 71, 231, 105, 265, 134, 294, 102, 262)(75, 235, 108, 268, 138, 298, 114, 274, 78, 238, 113, 273, 141, 301, 109, 269)(82, 242, 119, 279, 104, 264, 124, 284, 97, 257, 132, 292, 137, 297, 116, 276)(85, 245, 122, 282, 148, 308, 125, 285, 142, 302, 117, 277, 146, 306, 123, 283)(94, 254, 128, 288, 150, 310, 131, 291, 96, 256, 130, 290, 151, 311, 129, 289)(112, 272, 143, 303, 154, 314, 145, 305, 136, 296, 140, 300, 153, 313, 144, 304)(149, 309, 155, 315, 159, 319, 158, 318, 152, 312, 156, 316, 160, 320, 157, 317)
	L = (1, 163)(2, 166)(3, 161)(4, 169)(5, 172)(6, 162)(7, 176)(8, 177)(9, 164)(10, 181)(11, 184)(12, 165)(13, 188)(14, 189)(15, 192)(16, 167)(17, 168)(18, 196)(19, 199)(20, 193)(21, 170)(22, 203)(23, 204)(24, 171)(25, 208)(26, 209)(27, 212)(28, 173)(29, 174)(30, 215)(31, 217)(32, 175)(33, 180)(34, 221)(35, 224)(36, 178)(37, 227)(38, 228)(39, 179)(40, 231)(41, 232)(42, 229)(43, 182)(44, 183)(45, 233)(46, 234)(47, 235)(48, 185)(49, 186)(50, 238)(51, 239)(52, 187)(53, 242)(54, 245)(55, 190)(56, 248)(57, 191)(58, 250)(59, 251)(60, 254)(61, 194)(62, 256)(63, 257)(64, 195)(65, 260)(66, 258)(67, 197)(68, 198)(69, 202)(70, 264)(71, 200)(72, 201)(73, 205)(74, 206)(75, 207)(76, 270)(77, 272)(78, 210)(79, 211)(80, 276)(81, 277)(82, 213)(83, 280)(84, 281)(85, 214)(86, 284)(87, 282)(88, 216)(89, 285)(90, 218)(91, 219)(92, 283)(93, 287)(94, 220)(95, 273)(96, 222)(97, 223)(98, 226)(99, 294)(100, 225)(101, 279)(102, 290)(103, 296)(104, 230)(105, 292)(106, 288)(107, 297)(108, 299)(109, 300)(110, 236)(111, 302)(112, 237)(113, 255)(114, 303)(115, 305)(116, 240)(117, 241)(118, 304)(119, 261)(120, 243)(121, 244)(122, 247)(123, 252)(124, 246)(125, 249)(126, 309)(127, 253)(128, 266)(129, 298)(130, 262)(131, 301)(132, 265)(133, 312)(134, 259)(135, 307)(136, 263)(137, 267)(138, 289)(139, 268)(140, 269)(141, 291)(142, 271)(143, 274)(144, 278)(145, 275)(146, 315)(147, 295)(148, 316)(149, 286)(150, 318)(151, 317)(152, 293)(153, 319)(154, 320)(155, 306)(156, 308)(157, 311)(158, 310)(159, 313)(160, 314)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 20 e = 160 f = 120
	degree seq :: [ 16^20 ]

E11.722 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X2 * X1)^4, (X1^-1 * X2 * X1^-3)^2, X1^-3 * X2 * X1^4 * X2 * X1^-1, X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 130, 100, 129, 146, 126, 90)(64, 98, 112, 143, 120, 91, 127, 99)(68, 101, 133, 106, 71, 105, 135, 102)(75, 108, 138, 114, 78, 113, 140, 109)(82, 119, 147, 124, 97, 132, 145, 116)(85, 122, 96, 131, 142, 117, 94, 123)(104, 125, 149, 136, 137, 128, 151, 134)(110, 141, 154, 144, 121, 148, 153, 139)(150, 156, 159, 158, 152, 155, 160, 157)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 115)(99, 109)(101, 134)(102, 131)(103, 127)(105, 136)(106, 123)(107, 137)(108, 139)(111, 142)(113, 144)(114, 143)(118, 146)(119, 138)(126, 150)(130, 152)(132, 140)(133, 148)(135, 141)(145, 155)(147, 156)(149, 157)(151, 158)(153, 159)(154, 160)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 20 e = 80 f = 40
	degree seq :: [ 8^20 ]

E11.723 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X2 * X1 * X2 * X1^-2 * X2 * X1)^2, X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^2 * X2 * X1, (X1^-1 * X2)^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, 93, 70)(43, 71, 102, 72)(45, 74, 115, 75)(46, 76, 89, 77)(47, 78, 117, 79)(52, 86, 123, 87)(60, 98, 85, 99)(61, 100, 127, 101)(63, 103, 135, 104)(64, 105, 81, 106)(66, 107, 126, 90)(67, 108, 131, 97)(68, 109, 140, 110)(73, 114, 82, 95)(84, 121, 147, 122)(92, 128, 151, 129)(96, 130, 149, 125)(111, 132, 119, 138)(112, 142, 154, 143)(113, 144, 116, 133)(118, 134, 155, 136)(120, 124, 148, 146)(137, 150, 141, 152)(139, 153, 159, 157)(145, 156, 160, 158)
	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, 104)(69, 111)(70, 112)(71, 86)(72, 113)(74, 116)(75, 117)(76, 118)(77, 119)(78, 100)(79, 109)(80, 120)(83, 107)(87, 124)(88, 125)(91, 127)(94, 129)(98, 132)(99, 133)(101, 134)(103, 136)(105, 137)(106, 138)(108, 139)(110, 141)(114, 142)(115, 145)(121, 143)(122, 123)(126, 150)(128, 152)(130, 153)(131, 154)(135, 156)(140, 157)(144, 149)(146, 155)(147, 158)(148, 159)(151, 160)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 40 e = 80 f = 20
	degree seq :: [ 4^40 ]

E11.724 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X1 * X2 * X1 * X2^-2 * X1 * X2)^2, X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^2 * X1 * X2^2 * X1, (X2^-1 * X1)^8 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 67)(42, 70)(43, 72)(45, 75)(47, 78)(48, 80)(50, 83)(51, 85)(52, 86)(53, 88)(55, 91)(56, 93)(58, 96)(60, 99)(61, 101)(63, 104)(64, 106)(66, 98)(68, 103)(69, 112)(71, 92)(73, 105)(74, 95)(76, 118)(77, 87)(79, 120)(81, 109)(82, 89)(84, 94)(90, 128)(97, 134)(100, 136)(102, 125)(107, 123)(108, 131)(110, 137)(111, 140)(113, 138)(114, 143)(115, 124)(116, 142)(117, 144)(119, 139)(121, 126)(122, 129)(127, 149)(130, 152)(132, 151)(133, 153)(135, 148)(141, 154)(145, 150)(146, 156)(147, 155)(157, 160)(158, 159)(161, 163, 168, 164)(162, 165, 171, 166)(167, 173, 184, 174)(169, 176, 189, 177)(170, 178, 192, 179)(172, 181, 197, 182)(175, 186, 205, 187)(180, 194, 218, 195)(183, 199, 226, 200)(185, 202, 231, 203)(188, 207, 239, 208)(190, 210, 244, 211)(191, 212, 247, 213)(193, 215, 252, 216)(196, 220, 260, 221)(198, 223, 265, 224)(201, 228, 271, 229)(204, 233, 276, 234)(206, 236, 279, 237)(209, 241, 261, 242)(214, 249, 287, 250)(217, 254, 292, 255)(219, 257, 295, 258)(222, 262, 240, 263)(225, 267, 245, 268)(227, 269, 299, 270)(230, 273, 293, 256)(232, 274, 238, 275)(235, 251, 289, 277)(243, 281, 307, 282)(246, 283, 266, 284)(248, 285, 308, 286)(253, 290, 259, 291)(264, 297, 316, 298)(272, 301, 312, 302)(278, 305, 317, 300)(280, 304, 318, 306)(288, 310, 303, 311)(294, 314, 319, 309)(296, 313, 320, 315)
	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) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 160 f = 20
	degree seq :: [ 2^80, 4^40 ]

E11.725 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 1
Presentation :: [ X1^4, (X2^-1 * X1^-1)^2, (X2^-1 * X1 * X2^-2)^2, X2^8, X1^-1 * X2^-1 * X1 * X2^2 * X1^2 * X2^2 * X1^-1 * X2 * X1^-1, X1^-1 * X2^-3 * X1 * X2 * X1^-1 * X2^-4 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 61, 29)(17, 37, 72, 39)(20, 43, 80, 41)(22, 47, 84, 45)(24, 51, 82, 44)(26, 46, 85, 55)(27, 56, 99, 58)(30, 62, 78, 40)(32, 57, 101, 63)(33, 64, 106, 66)(36, 70, 114, 68)(38, 74, 116, 71)(42, 81, 112, 67)(48, 65, 108, 87)(50, 92, 133, 90)(52, 75, 109, 89)(53, 91, 113, 95)(54, 96, 138, 97)(59, 69, 115, 102)(60, 103, 110, 104)(73, 119, 98, 117)(76, 118, 83, 122)(77, 123, 151, 124)(79, 126, 86, 127)(88, 132, 153, 130)(93, 129, 147, 135)(94, 137, 148, 120)(100, 140, 146, 128)(105, 107, 141, 125)(111, 144, 159, 145)(121, 150, 157, 142)(131, 143, 134, 154)(136, 149, 158, 156)(139, 152, 160, 155)(161, 163, 170, 184, 212, 192, 174, 165)(162, 167, 177, 198, 235, 204, 180, 168)(164, 172, 187, 217, 249, 208, 182, 169)(166, 175, 193, 225, 269, 231, 196, 176)(171, 186, 214, 191, 223, 253, 210, 183)(173, 189, 220, 254, 211, 185, 213, 190)(178, 200, 237, 203, 242, 280, 233, 197)(179, 201, 239, 281, 234, 199, 236, 202)(181, 205, 243, 289, 261, 218, 246, 206)(188, 219, 248, 207, 247, 291, 260, 216)(194, 227, 271, 230, 276, 302, 267, 224)(195, 228, 273, 303, 268, 226, 270, 229)(209, 250, 275, 263, 221, 257, 294, 251)(215, 258, 296, 252, 295, 311, 299, 256)(222, 255, 274, 305, 297, 264, 266, 265)(232, 277, 245, 286, 240, 284, 307, 278)(238, 285, 309, 279, 308, 319, 312, 283)(241, 282, 244, 290, 310, 287, 259, 288)(262, 293, 316, 300, 314, 298, 315, 292)(272, 306, 318, 301, 317, 313, 320, 304)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E11.727
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 160 f = 80
	degree seq :: [ 4^40, 8^20 ]

E11.726 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X2 * X1)^4, (X1^-2 * X2 * X1^-2)^2, X1^3 * X2 * X1^-4 * X2 * X1, X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2 * X1^-1 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 130, 100, 129, 146, 126, 90)(64, 98, 112, 143, 120, 91, 127, 99)(68, 101, 133, 106, 71, 105, 135, 102)(75, 108, 138, 114, 78, 113, 140, 109)(82, 119, 147, 124, 97, 132, 145, 116)(85, 122, 96, 131, 142, 117, 94, 123)(104, 125, 149, 136, 137, 128, 151, 134)(110, 141, 154, 144, 121, 148, 153, 139)(150, 156, 159, 158, 152, 155, 160, 157)(161, 163)(162, 166)(164, 169)(165, 172)(167, 176)(168, 177)(170, 181)(171, 184)(173, 188)(174, 189)(175, 192)(178, 196)(179, 199)(180, 193)(182, 203)(183, 204)(185, 208)(186, 209)(187, 212)(190, 215)(191, 217)(194, 221)(195, 224)(197, 227)(198, 228)(200, 231)(201, 232)(202, 229)(205, 233)(206, 234)(207, 235)(210, 238)(211, 239)(213, 242)(214, 245)(216, 248)(218, 250)(219, 251)(220, 254)(222, 256)(223, 257)(225, 260)(226, 258)(230, 264)(236, 270)(237, 272)(240, 276)(241, 277)(243, 280)(244, 281)(246, 284)(247, 282)(249, 285)(252, 288)(253, 289)(255, 275)(259, 269)(261, 294)(262, 291)(263, 287)(265, 296)(266, 283)(267, 297)(268, 299)(271, 302)(273, 304)(274, 303)(278, 306)(279, 298)(286, 310)(290, 312)(292, 300)(293, 308)(295, 301)(305, 315)(307, 316)(309, 317)(311, 318)(313, 319)(314, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 100 e = 160 f = 40
	degree seq :: [ 2^80, 8^20 ]

E11.727 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X1 * X2 * X1 * X2^-2 * X1 * X2)^2, X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^2 * X1 * X2^2 * X1, (X2^-1 * X1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 10, 170)(6, 166, 12, 172)(8, 168, 15, 175)(11, 171, 20, 180)(13, 173, 23, 183)(14, 174, 25, 185)(16, 176, 28, 188)(17, 177, 30, 190)(18, 178, 31, 191)(19, 179, 33, 193)(21, 181, 36, 196)(22, 182, 38, 198)(24, 184, 41, 201)(26, 186, 44, 204)(27, 187, 46, 206)(29, 189, 49, 209)(32, 192, 54, 214)(34, 194, 57, 217)(35, 195, 59, 219)(37, 197, 62, 222)(39, 199, 65, 225)(40, 200, 67, 227)(42, 202, 70, 230)(43, 203, 72, 232)(45, 205, 75, 235)(47, 207, 78, 238)(48, 208, 80, 240)(50, 210, 83, 243)(51, 211, 85, 245)(52, 212, 86, 246)(53, 213, 88, 248)(55, 215, 91, 251)(56, 216, 93, 253)(58, 218, 96, 256)(60, 220, 99, 259)(61, 221, 101, 261)(63, 223, 104, 264)(64, 224, 106, 266)(66, 226, 98, 258)(68, 228, 103, 263)(69, 229, 112, 272)(71, 231, 92, 252)(73, 233, 105, 265)(74, 234, 95, 255)(76, 236, 118, 278)(77, 237, 87, 247)(79, 239, 120, 280)(81, 241, 109, 269)(82, 242, 89, 249)(84, 244, 94, 254)(90, 250, 128, 288)(97, 257, 134, 294)(100, 260, 136, 296)(102, 262, 125, 285)(107, 267, 123, 283)(108, 268, 131, 291)(110, 270, 137, 297)(111, 271, 140, 300)(113, 273, 138, 298)(114, 274, 143, 303)(115, 275, 124, 284)(116, 276, 142, 302)(117, 277, 144, 304)(119, 279, 139, 299)(121, 281, 126, 286)(122, 282, 129, 289)(127, 287, 149, 309)(130, 290, 152, 312)(132, 292, 151, 311)(133, 293, 153, 313)(135, 295, 148, 308)(141, 301, 154, 314)(145, 305, 150, 310)(146, 306, 156, 316)(147, 307, 155, 315)(157, 317, 160, 320)(158, 318, 159, 319)
	L = (1, 163)(2, 165)(3, 168)(4, 161)(5, 171)(6, 162)(7, 173)(8, 164)(9, 176)(10, 178)(11, 166)(12, 181)(13, 184)(14, 167)(15, 186)(16, 189)(17, 169)(18, 192)(19, 170)(20, 194)(21, 197)(22, 172)(23, 199)(24, 174)(25, 202)(26, 205)(27, 175)(28, 207)(29, 177)(30, 210)(31, 212)(32, 179)(33, 215)(34, 218)(35, 180)(36, 220)(37, 182)(38, 223)(39, 226)(40, 183)(41, 228)(42, 231)(43, 185)(44, 233)(45, 187)(46, 236)(47, 239)(48, 188)(49, 241)(50, 244)(51, 190)(52, 247)(53, 191)(54, 249)(55, 252)(56, 193)(57, 254)(58, 195)(59, 257)(60, 260)(61, 196)(62, 262)(63, 265)(64, 198)(65, 267)(66, 200)(67, 269)(68, 271)(69, 201)(70, 273)(71, 203)(72, 274)(73, 276)(74, 204)(75, 251)(76, 279)(77, 206)(78, 275)(79, 208)(80, 263)(81, 261)(82, 209)(83, 281)(84, 211)(85, 268)(86, 283)(87, 213)(88, 285)(89, 287)(90, 214)(91, 289)(92, 216)(93, 290)(94, 292)(95, 217)(96, 230)(97, 295)(98, 219)(99, 291)(100, 221)(101, 242)(102, 240)(103, 222)(104, 297)(105, 224)(106, 284)(107, 245)(108, 225)(109, 299)(110, 227)(111, 229)(112, 301)(113, 293)(114, 238)(115, 232)(116, 234)(117, 235)(118, 305)(119, 237)(120, 304)(121, 307)(122, 243)(123, 266)(124, 246)(125, 308)(126, 248)(127, 250)(128, 310)(129, 277)(130, 259)(131, 253)(132, 255)(133, 256)(134, 314)(135, 258)(136, 313)(137, 316)(138, 264)(139, 270)(140, 278)(141, 312)(142, 272)(143, 311)(144, 318)(145, 317)(146, 280)(147, 282)(148, 286)(149, 294)(150, 303)(151, 288)(152, 302)(153, 320)(154, 319)(155, 296)(156, 298)(157, 300)(158, 306)(159, 309)(160, 315)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Dual of E11.725
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 80 e = 160 f = 60
	degree seq :: [ 4^80 ]

E11.728 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 1
Presentation :: [ X1^4, (X2^-1 * X1^-1)^2, (X2^-1 * X1 * X2^-2)^2, X2^8, X1^-1 * X2^-1 * X1 * X2^2 * X1^2 * X2^2 * X1^-1 * X2 * X1^-1, X1^-1 * X2^-3 * X1 * X2 * X1^-1 * X2^-4 * X1^-1 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 21, 181, 11, 171)(5, 165, 13, 173, 18, 178, 7, 167)(8, 168, 19, 179, 34, 194, 15, 175)(10, 170, 23, 183, 49, 209, 25, 185)(12, 172, 16, 176, 35, 195, 28, 188)(14, 174, 31, 191, 61, 221, 29, 189)(17, 177, 37, 197, 72, 232, 39, 199)(20, 180, 43, 203, 80, 240, 41, 201)(22, 182, 47, 207, 84, 244, 45, 205)(24, 184, 51, 211, 82, 242, 44, 204)(26, 186, 46, 206, 85, 245, 55, 215)(27, 187, 56, 216, 99, 259, 58, 218)(30, 190, 62, 222, 78, 238, 40, 200)(32, 192, 57, 217, 101, 261, 63, 223)(33, 193, 64, 224, 106, 266, 66, 226)(36, 196, 70, 230, 114, 274, 68, 228)(38, 198, 74, 234, 116, 276, 71, 231)(42, 202, 81, 241, 112, 272, 67, 227)(48, 208, 65, 225, 108, 268, 87, 247)(50, 210, 92, 252, 133, 293, 90, 250)(52, 212, 75, 235, 109, 269, 89, 249)(53, 213, 91, 251, 113, 273, 95, 255)(54, 214, 96, 256, 138, 298, 97, 257)(59, 219, 69, 229, 115, 275, 102, 262)(60, 220, 103, 263, 110, 270, 104, 264)(73, 233, 119, 279, 98, 258, 117, 277)(76, 236, 118, 278, 83, 243, 122, 282)(77, 237, 123, 283, 151, 311, 124, 284)(79, 239, 126, 286, 86, 246, 127, 287)(88, 248, 132, 292, 153, 313, 130, 290)(93, 253, 129, 289, 147, 307, 135, 295)(94, 254, 137, 297, 148, 308, 120, 280)(100, 260, 140, 300, 146, 306, 128, 288)(105, 265, 107, 267, 141, 301, 125, 285)(111, 271, 144, 304, 159, 319, 145, 305)(121, 281, 150, 310, 157, 317, 142, 302)(131, 291, 143, 303, 134, 294, 154, 314)(136, 296, 149, 309, 158, 318, 156, 316)(139, 299, 152, 312, 160, 320, 155, 315)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 175)(7, 177)(8, 162)(9, 164)(10, 184)(11, 186)(12, 187)(13, 189)(14, 165)(15, 193)(16, 166)(17, 198)(18, 200)(19, 201)(20, 168)(21, 205)(22, 169)(23, 171)(24, 212)(25, 213)(26, 214)(27, 217)(28, 219)(29, 220)(30, 173)(31, 223)(32, 174)(33, 225)(34, 227)(35, 228)(36, 176)(37, 178)(38, 235)(39, 236)(40, 237)(41, 239)(42, 179)(43, 242)(44, 180)(45, 243)(46, 181)(47, 247)(48, 182)(49, 250)(50, 183)(51, 185)(52, 192)(53, 190)(54, 191)(55, 258)(56, 188)(57, 249)(58, 246)(59, 248)(60, 254)(61, 257)(62, 255)(63, 253)(64, 194)(65, 269)(66, 270)(67, 271)(68, 273)(69, 195)(70, 276)(71, 196)(72, 277)(73, 197)(74, 199)(75, 204)(76, 202)(77, 203)(78, 285)(79, 281)(80, 284)(81, 282)(82, 280)(83, 289)(84, 290)(85, 286)(86, 206)(87, 291)(88, 207)(89, 208)(90, 275)(91, 209)(92, 295)(93, 210)(94, 211)(95, 274)(96, 215)(97, 294)(98, 296)(99, 288)(100, 216)(101, 218)(102, 293)(103, 221)(104, 266)(105, 222)(106, 265)(107, 224)(108, 226)(109, 231)(110, 229)(111, 230)(112, 306)(113, 303)(114, 305)(115, 263)(116, 302)(117, 245)(118, 232)(119, 308)(120, 233)(121, 234)(122, 244)(123, 238)(124, 307)(125, 309)(126, 240)(127, 259)(128, 241)(129, 261)(130, 310)(131, 260)(132, 262)(133, 316)(134, 251)(135, 311)(136, 252)(137, 264)(138, 315)(139, 256)(140, 314)(141, 317)(142, 267)(143, 268)(144, 272)(145, 297)(146, 318)(147, 278)(148, 319)(149, 279)(150, 287)(151, 299)(152, 283)(153, 320)(154, 298)(155, 292)(156, 300)(157, 313)(158, 301)(159, 312)(160, 304)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 40 e = 160 f = 100
	degree seq :: [ 8^40 ]

E11.729 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X2 * X1)^4, (X1^-2 * X2 * X1^-2)^2, X1^3 * X2 * X1^-4 * X2 * X1, X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2 * X1^-1 ]
Map::
	R = (1, 161, 2, 162, 5, 165, 11, 171, 23, 183, 22, 182, 10, 170, 4, 164)(3, 163, 7, 167, 15, 175, 31, 191, 44, 204, 37, 197, 18, 178, 8, 168)(6, 166, 13, 173, 27, 187, 51, 211, 43, 203, 56, 216, 30, 190, 14, 174)(9, 169, 19, 179, 38, 198, 46, 206, 24, 184, 45, 205, 40, 200, 20, 180)(12, 172, 25, 185, 47, 207, 42, 202, 21, 181, 41, 201, 50, 210, 26, 186)(16, 176, 33, 193, 60, 220, 93, 253, 67, 227, 74, 234, 62, 222, 34, 194)(17, 177, 35, 195, 63, 223, 88, 248, 57, 217, 83, 243, 53, 213, 28, 188)(29, 189, 54, 214, 84, 244, 72, 232, 79, 239, 111, 271, 76, 236, 48, 208)(32, 192, 58, 218, 89, 249, 66, 226, 36, 196, 65, 225, 92, 252, 59, 219)(39, 199, 69, 229, 103, 263, 107, 267, 73, 233, 49, 209, 77, 237, 70, 230)(52, 212, 80, 240, 115, 275, 87, 247, 55, 215, 86, 246, 118, 278, 81, 241)(61, 221, 95, 255, 130, 290, 100, 260, 129, 289, 146, 306, 126, 286, 90, 250)(64, 224, 98, 258, 112, 272, 143, 303, 120, 280, 91, 251, 127, 287, 99, 259)(68, 228, 101, 261, 133, 293, 106, 266, 71, 231, 105, 265, 135, 295, 102, 262)(75, 235, 108, 268, 138, 298, 114, 274, 78, 238, 113, 273, 140, 300, 109, 269)(82, 242, 119, 279, 147, 307, 124, 284, 97, 257, 132, 292, 145, 305, 116, 276)(85, 245, 122, 282, 96, 256, 131, 291, 142, 302, 117, 277, 94, 254, 123, 283)(104, 264, 125, 285, 149, 309, 136, 296, 137, 297, 128, 288, 151, 311, 134, 294)(110, 270, 141, 301, 154, 314, 144, 304, 121, 281, 148, 308, 153, 313, 139, 299)(150, 310, 156, 316, 159, 319, 158, 318, 152, 312, 155, 315, 160, 320, 157, 317)
	L = (1, 163)(2, 166)(3, 161)(4, 169)(5, 172)(6, 162)(7, 176)(8, 177)(9, 164)(10, 181)(11, 184)(12, 165)(13, 188)(14, 189)(15, 192)(16, 167)(17, 168)(18, 196)(19, 199)(20, 193)(21, 170)(22, 203)(23, 204)(24, 171)(25, 208)(26, 209)(27, 212)(28, 173)(29, 174)(30, 215)(31, 217)(32, 175)(33, 180)(34, 221)(35, 224)(36, 178)(37, 227)(38, 228)(39, 179)(40, 231)(41, 232)(42, 229)(43, 182)(44, 183)(45, 233)(46, 234)(47, 235)(48, 185)(49, 186)(50, 238)(51, 239)(52, 187)(53, 242)(54, 245)(55, 190)(56, 248)(57, 191)(58, 250)(59, 251)(60, 254)(61, 194)(62, 256)(63, 257)(64, 195)(65, 260)(66, 258)(67, 197)(68, 198)(69, 202)(70, 264)(71, 200)(72, 201)(73, 205)(74, 206)(75, 207)(76, 270)(77, 272)(78, 210)(79, 211)(80, 276)(81, 277)(82, 213)(83, 280)(84, 281)(85, 214)(86, 284)(87, 282)(88, 216)(89, 285)(90, 218)(91, 219)(92, 288)(93, 289)(94, 220)(95, 275)(96, 222)(97, 223)(98, 226)(99, 269)(100, 225)(101, 294)(102, 291)(103, 287)(104, 230)(105, 296)(106, 283)(107, 297)(108, 299)(109, 259)(110, 236)(111, 302)(112, 237)(113, 304)(114, 303)(115, 255)(116, 240)(117, 241)(118, 306)(119, 298)(120, 243)(121, 244)(122, 247)(123, 266)(124, 246)(125, 249)(126, 310)(127, 263)(128, 252)(129, 253)(130, 312)(131, 262)(132, 300)(133, 308)(134, 261)(135, 301)(136, 265)(137, 267)(138, 279)(139, 268)(140, 292)(141, 295)(142, 271)(143, 274)(144, 273)(145, 315)(146, 278)(147, 316)(148, 293)(149, 317)(150, 286)(151, 318)(152, 290)(153, 319)(154, 320)(155, 305)(156, 307)(157, 309)(158, 311)(159, 313)(160, 314)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 20 e = 160 f = 120
	degree seq :: [ 16^20 ]

E11.730 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1)^4, (T2 * T1^2 * T2 * T1^-2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2 * T2 * T1^-1, T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-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, 92, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 109, 68, 39)(22, 40, 69, 112, 72, 41)(27, 49, 83, 121, 75, 43)(30, 52, 89, 124, 77, 53)(34, 59, 99, 155, 101, 60)(36, 63, 104, 161, 106, 64)(44, 76, 122, 174, 114, 70)(47, 79, 127, 177, 116, 80)(50, 85, 62, 103, 136, 86)(51, 87, 137, 205, 140, 88)(55, 94, 147, 176, 142, 90)(58, 97, 152, 173, 154, 98)(65, 107, 113, 172, 166, 108)(67, 71, 115, 175, 169, 110)(74, 118, 180, 170, 111, 119)(78, 125, 188, 225, 191, 126)(81, 130, 195, 162, 193, 128)(84, 133, 200, 168, 202, 134)(91, 143, 207, 230, 206, 138)(93, 145, 181, 120, 183, 146)(95, 149, 96, 151, 182, 150)(100, 139, 184, 223, 185, 156)(102, 158, 209, 226, 196, 159)(105, 163, 187, 123, 186, 160)(117, 178, 153, 213, 221, 179)(129, 194, 164, 208, 144, 189)(131, 197, 132, 199, 165, 198)(135, 190, 219, 234, 220, 203)(141, 192, 222, 215, 157, 204)(148, 210, 167, 214, 224, 211)(171, 217, 201, 228, 216, 218)(212, 231, 239, 240, 235, 227)(229, 237, 232, 238, 233, 236)
	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, 93)(56, 95)(57, 96)(59, 100)(60, 97)(61, 102)(64, 105)(66, 99)(68, 111)(69, 113)(72, 116)(73, 117)(75, 120)(76, 123)(79, 128)(80, 129)(82, 131)(83, 132)(85, 135)(86, 133)(87, 138)(88, 139)(89, 141)(92, 144)(94, 148)(98, 153)(101, 157)(103, 160)(104, 162)(106, 164)(107, 165)(108, 145)(109, 167)(110, 168)(112, 171)(114, 173)(115, 176)(118, 181)(119, 182)(121, 184)(122, 185)(124, 186)(125, 189)(126, 190)(127, 192)(130, 196)(134, 201)(136, 204)(137, 195)(140, 183)(142, 177)(143, 179)(146, 188)(147, 209)(149, 212)(150, 210)(151, 178)(152, 172)(154, 191)(155, 200)(156, 214)(158, 203)(159, 198)(161, 206)(163, 216)(166, 215)(169, 207)(170, 193)(174, 219)(175, 220)(180, 222)(187, 224)(194, 218)(197, 227)(199, 217)(202, 221)(205, 229)(208, 231)(211, 232)(213, 233)(223, 235)(225, 236)(226, 237)(228, 238)(230, 239)(234, 240)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E11.731
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 40 e = 120 f = 60
	degree seq :: [ 6^40 ]

E11.731 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T2 * T1)^6, T2 * T1^-2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2, (T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2)^2, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2)^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, 65, 40)(29, 48, 79, 49)(30, 50, 82, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 110, 70)(43, 71, 112, 72)(45, 74, 117, 75)(46, 76, 96, 60)(47, 77, 121, 78)(52, 84, 131, 85)(61, 97, 150, 98)(63, 100, 155, 101)(64, 102, 135, 87)(66, 104, 134, 105)(67, 106, 138, 107)(68, 108, 132, 109)(73, 115, 133, 116)(80, 91, 141, 125)(81, 126, 179, 127)(83, 129, 182, 130)(88, 136, 186, 137)(90, 139, 189, 140)(93, 143, 124, 144)(94, 145, 128, 146)(95, 147, 122, 148)(99, 153, 123, 154)(103, 142, 184, 159)(111, 167, 193, 152)(113, 169, 191, 170)(114, 171, 209, 160)(118, 163, 208, 158)(119, 175, 187, 176)(120, 177, 203, 178)(149, 199, 165, 188)(151, 201, 183, 202)(156, 196, 222, 192)(157, 206, 180, 207)(161, 210, 221, 195)(162, 197, 220, 205)(164, 200, 174, 204)(166, 190, 172, 211)(168, 213, 173, 194)(181, 185, 219, 198)(212, 231, 218, 227)(214, 223, 234, 228)(215, 226, 216, 225)(217, 229, 235, 230)(224, 232, 237, 233)(236, 239, 240, 238)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 80)(49, 81)(50, 83)(51, 69)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(70, 111)(71, 113)(72, 114)(74, 118)(75, 119)(76, 120)(77, 122)(78, 123)(79, 124)(82, 128)(84, 132)(85, 133)(86, 134)(89, 138)(92, 142)(96, 149)(97, 151)(98, 152)(100, 156)(101, 157)(102, 158)(104, 160)(105, 161)(106, 162)(107, 163)(108, 164)(109, 165)(110, 166)(112, 168)(115, 172)(116, 173)(117, 174)(121, 159)(125, 171)(126, 180)(127, 181)(129, 177)(130, 183)(131, 184)(135, 185)(136, 187)(137, 188)(139, 190)(140, 191)(141, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(150, 200)(153, 203)(154, 204)(155, 205)(167, 212)(169, 214)(170, 215)(175, 216)(176, 217)(178, 218)(179, 210)(182, 213)(186, 220)(189, 221)(199, 223)(201, 224)(202, 225)(206, 226)(207, 227)(208, 228)(209, 229)(211, 230)(219, 232)(222, 233)(231, 236)(234, 238)(235, 239)(237, 240)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E11.730
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 60 e = 120 f = 40
	degree seq :: [ 4^60 ]

E11.732 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1)^6, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, (T2^-2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1)^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, 114, 73)(46, 75, 119, 76)(49, 80, 126, 81)(54, 86, 135, 87)(57, 91, 142, 92)(59, 94, 147, 95)(62, 99, 154, 100)(66, 104, 162, 105)(69, 109, 168, 110)(71, 112, 172, 113)(74, 116, 175, 117)(77, 120, 178, 121)(79, 123, 180, 124)(82, 128, 182, 129)(85, 132, 187, 133)(88, 137, 193, 138)(90, 140, 197, 141)(93, 144, 200, 145)(96, 148, 203, 149)(98, 151, 205, 152)(101, 156, 207, 157)(103, 159, 125, 160)(106, 163, 122, 164)(108, 165, 130, 166)(111, 170, 127, 171)(115, 173, 217, 174)(118, 176, 218, 177)(131, 184, 153, 185)(134, 188, 150, 189)(136, 190, 158, 191)(139, 195, 155, 196)(143, 198, 227, 199)(146, 201, 228, 202)(161, 210, 183, 211)(167, 212, 231, 213)(169, 214, 179, 215)(181, 216, 229, 209)(186, 220, 208, 221)(192, 222, 234, 223)(194, 224, 204, 225)(206, 226, 232, 219)(230, 235, 239, 236)(233, 237, 240, 238)(241, 242)(243, 247)(244, 249)(245, 250)(246, 252)(248, 255)(251, 260)(253, 263)(254, 265)(256, 268)(257, 270)(258, 271)(259, 273)(261, 276)(262, 278)(264, 281)(266, 284)(267, 286)(269, 289)(272, 294)(274, 297)(275, 299)(277, 302)(279, 304)(280, 306)(282, 309)(283, 311)(285, 314)(287, 317)(288, 319)(290, 322)(291, 292)(293, 325)(295, 328)(296, 330)(298, 333)(300, 336)(301, 338)(303, 341)(305, 343)(307, 346)(308, 348)(310, 351)(312, 353)(313, 355)(315, 358)(316, 360)(318, 362)(320, 365)(321, 367)(323, 370)(324, 371)(326, 374)(327, 376)(329, 379)(331, 381)(332, 383)(334, 386)(335, 388)(337, 390)(339, 393)(340, 395)(342, 398)(344, 401)(345, 373)(347, 384)(349, 407)(350, 409)(352, 389)(354, 382)(356, 375)(357, 394)(359, 387)(361, 380)(363, 419)(364, 421)(366, 385)(368, 396)(369, 423)(372, 426)(377, 432)(378, 434)(391, 444)(392, 446)(397, 448)(399, 441)(400, 449)(402, 428)(403, 427)(404, 436)(405, 439)(406, 452)(408, 442)(410, 447)(411, 429)(412, 456)(413, 445)(414, 430)(415, 440)(416, 424)(417, 433)(418, 453)(420, 438)(422, 435)(425, 459)(431, 462)(437, 466)(443, 463)(450, 470)(451, 465)(454, 464)(455, 461)(457, 468)(458, 467)(460, 473)(469, 475)(471, 476)(472, 477)(474, 478)(479, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E11.736
Transitivity :: ET+
Graph:: simple bipartite
	v = 180 e = 240 f = 40
	degree seq :: [ 2^120, 4^60 ]

E11.733 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, T2^6, T2^6, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^3 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1^-2, (T2 * T1^-1)^6 ]
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, 148, 84, 44)(25, 51, 95, 161, 93, 49)(28, 56, 103, 160, 101, 54)(31, 50, 94, 140, 113, 61)(33, 65, 119, 174, 115, 62)(34, 66, 121, 180, 124, 67)(38, 73, 133, 90, 131, 71)(42, 72, 132, 181, 146, 80)(45, 85, 150, 107, 152, 86)(47, 88, 154, 202, 156, 89)(53, 99, 123, 112, 164, 97)(55, 102, 166, 173, 153, 87)(58, 108, 170, 209, 168, 105)(59, 109, 162, 96, 120, 110)(64, 118, 178, 128, 176, 116)(68, 117, 177, 149, 182, 125)(69, 126, 183, 218, 185, 127)(75, 137, 83, 145, 191, 135)(77, 141, 195, 223, 193, 138)(78, 142, 189, 134, 104, 143)(82, 144, 194, 224, 198, 147)(92, 158, 204, 229, 205, 159)(98, 114, 172, 211, 203, 157)(100, 165, 207, 219, 186, 136)(111, 169, 210, 216, 179, 122)(130, 187, 220, 236, 221, 188)(151, 200, 227, 238, 226, 199)(155, 190, 167, 208, 228, 201)(163, 197, 225, 237, 230, 206)(171, 192, 222, 235, 217, 184)(175, 213, 232, 240, 233, 214)(196, 215, 234, 239, 231, 212)(241, 242, 246, 244)(243, 249, 261, 251)(245, 253, 258, 247)(248, 259, 273, 255)(250, 263, 287, 265)(252, 256, 274, 268)(254, 271, 298, 269)(257, 276, 309, 278)(260, 282, 317, 280)(262, 285, 322, 283)(264, 289, 332, 290)(266, 284, 323, 293)(267, 294, 340, 295)(270, 299, 315, 279)(272, 302, 354, 304)(275, 308, 362, 306)(277, 311, 370, 312)(281, 318, 360, 305)(286, 327, 391, 325)(288, 330, 395, 328)(291, 329, 359, 336)(292, 337, 358, 338)(296, 307, 363, 344)(297, 345, 407, 347)(300, 351, 365, 349)(301, 352, 364, 348)(303, 356, 415, 357)(310, 368, 424, 366)(313, 367, 343, 374)(314, 375, 342, 376)(316, 378, 432, 380)(319, 384, 326, 382)(320, 385, 324, 381)(321, 387, 437, 389)(331, 397, 427, 371)(333, 400, 425, 398)(334, 399, 434, 379)(335, 402, 422, 403)(339, 377, 350, 383)(341, 401, 446, 405)(346, 390, 439, 409)(353, 411, 418, 404)(355, 413, 452, 412)(361, 419, 455, 421)(369, 426, 453, 416)(372, 428, 410, 420)(373, 429, 392, 430)(386, 436, 406, 431)(388, 417, 454, 435)(393, 414, 396, 440)(394, 441, 462, 433)(408, 447, 470, 448)(423, 457, 474, 456)(438, 451, 471, 465)(442, 463, 473, 467)(443, 464, 445, 460)(444, 458, 450, 466)(449, 461, 472, 459)(468, 477, 479, 475)(469, 478, 480, 476)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E11.737
Transitivity :: ET+
Graph:: simple bipartite
	v = 100 e = 240 f = 120
	degree seq :: [ 4^60, 6^40 ]

E11.734 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, (T1^2 * T2 * T1^-2 * T2)^2, T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 93)(56, 95)(57, 96)(59, 100)(60, 97)(61, 102)(64, 105)(66, 99)(68, 111)(69, 113)(72, 116)(73, 117)(75, 120)(76, 123)(79, 128)(80, 129)(82, 131)(83, 132)(85, 135)(86, 133)(87, 138)(88, 139)(89, 141)(92, 144)(94, 148)(98, 153)(101, 157)(103, 160)(104, 162)(106, 164)(107, 165)(108, 145)(109, 167)(110, 168)(112, 171)(114, 173)(115, 176)(118, 181)(119, 182)(121, 184)(122, 185)(124, 186)(125, 189)(126, 190)(127, 192)(130, 196)(134, 201)(136, 204)(137, 195)(140, 183)(142, 177)(143, 179)(146, 188)(147, 209)(149, 212)(150, 210)(151, 178)(152, 172)(154, 191)(155, 200)(156, 214)(158, 203)(159, 198)(161, 206)(163, 216)(166, 215)(169, 207)(170, 193)(174, 219)(175, 220)(180, 222)(187, 224)(194, 218)(197, 227)(199, 217)(202, 221)(205, 229)(208, 231)(211, 232)(213, 233)(223, 235)(225, 236)(226, 237)(228, 238)(230, 239)(234, 240)(241, 242, 245, 251, 250, 244)(243, 247, 255, 269, 258, 248)(246, 253, 265, 286, 268, 254)(249, 259, 275, 301, 277, 260)(252, 263, 282, 313, 285, 264)(256, 271, 294, 332, 296, 272)(257, 273, 297, 322, 288, 266)(261, 278, 306, 349, 308, 279)(262, 280, 309, 352, 312, 281)(267, 289, 323, 361, 315, 283)(270, 292, 329, 364, 317, 293)(274, 299, 339, 395, 341, 300)(276, 303, 344, 401, 346, 304)(284, 316, 362, 414, 354, 310)(287, 319, 367, 417, 356, 320)(290, 325, 302, 343, 376, 326)(291, 327, 377, 445, 380, 328)(295, 334, 387, 416, 382, 330)(298, 337, 392, 413, 394, 338)(305, 347, 353, 412, 406, 348)(307, 311, 355, 415, 409, 350)(314, 358, 420, 410, 351, 359)(318, 365, 428, 465, 431, 366)(321, 370, 435, 402, 433, 368)(324, 373, 440, 408, 442, 374)(331, 383, 447, 470, 446, 378)(333, 385, 421, 360, 423, 386)(335, 389, 336, 391, 422, 390)(340, 379, 424, 463, 425, 396)(342, 398, 449, 466, 436, 399)(345, 403, 427, 363, 426, 400)(357, 418, 393, 453, 461, 419)(369, 434, 404, 448, 384, 429)(371, 437, 372, 439, 405, 438)(375, 430, 459, 474, 460, 443)(381, 432, 462, 455, 397, 444)(388, 450, 407, 454, 464, 451)(411, 457, 441, 468, 456, 458)(452, 471, 479, 480, 475, 467)(469, 477, 472, 478, 473, 476)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E11.735
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 240 f = 60
	degree seq :: [ 2^120, 6^40 ]

E11.735 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1)^6, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, (T2^-2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1)^2 ]
Map::
	R = (1, 241, 3, 243, 8, 248, 4, 244)(2, 242, 5, 245, 11, 251, 6, 246)(7, 247, 13, 253, 24, 264, 14, 254)(9, 249, 16, 256, 29, 269, 17, 257)(10, 250, 18, 258, 32, 272, 19, 259)(12, 252, 21, 261, 37, 277, 22, 262)(15, 255, 26, 266, 45, 285, 27, 267)(20, 260, 34, 274, 58, 298, 35, 275)(23, 263, 39, 279, 65, 305, 40, 280)(25, 265, 42, 282, 70, 310, 43, 283)(28, 268, 47, 287, 78, 318, 48, 288)(30, 270, 50, 290, 83, 323, 51, 291)(31, 271, 52, 292, 84, 324, 53, 293)(33, 273, 55, 295, 89, 329, 56, 296)(36, 276, 60, 300, 97, 337, 61, 301)(38, 278, 63, 303, 102, 342, 64, 304)(41, 281, 67, 307, 107, 347, 68, 308)(44, 284, 72, 312, 114, 354, 73, 313)(46, 286, 75, 315, 119, 359, 76, 316)(49, 289, 80, 320, 126, 366, 81, 321)(54, 294, 86, 326, 135, 375, 87, 327)(57, 297, 91, 331, 142, 382, 92, 332)(59, 299, 94, 334, 147, 387, 95, 335)(62, 302, 99, 339, 154, 394, 100, 340)(66, 306, 104, 344, 162, 402, 105, 345)(69, 309, 109, 349, 168, 408, 110, 350)(71, 311, 112, 352, 172, 412, 113, 353)(74, 314, 116, 356, 175, 415, 117, 357)(77, 317, 120, 360, 178, 418, 121, 361)(79, 319, 123, 363, 180, 420, 124, 364)(82, 322, 128, 368, 182, 422, 129, 369)(85, 325, 132, 372, 187, 427, 133, 373)(88, 328, 137, 377, 193, 433, 138, 378)(90, 330, 140, 380, 197, 437, 141, 381)(93, 333, 144, 384, 200, 440, 145, 385)(96, 336, 148, 388, 203, 443, 149, 389)(98, 338, 151, 391, 205, 445, 152, 392)(101, 341, 156, 396, 207, 447, 157, 397)(103, 343, 159, 399, 125, 365, 160, 400)(106, 346, 163, 403, 122, 362, 164, 404)(108, 348, 165, 405, 130, 370, 166, 406)(111, 351, 170, 410, 127, 367, 171, 411)(115, 355, 173, 413, 217, 457, 174, 414)(118, 358, 176, 416, 218, 458, 177, 417)(131, 371, 184, 424, 153, 393, 185, 425)(134, 374, 188, 428, 150, 390, 189, 429)(136, 376, 190, 430, 158, 398, 191, 431)(139, 379, 195, 435, 155, 395, 196, 436)(143, 383, 198, 438, 227, 467, 199, 439)(146, 386, 201, 441, 228, 468, 202, 442)(161, 401, 210, 450, 183, 423, 211, 451)(167, 407, 212, 452, 231, 471, 213, 453)(169, 409, 214, 454, 179, 419, 215, 455)(181, 421, 216, 456, 229, 469, 209, 449)(186, 426, 220, 460, 208, 448, 221, 461)(192, 432, 222, 462, 234, 474, 223, 463)(194, 434, 224, 464, 204, 444, 225, 465)(206, 446, 226, 466, 232, 472, 219, 459)(230, 470, 235, 475, 239, 479, 236, 476)(233, 473, 237, 477, 240, 480, 238, 478)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 250)(6, 252)(7, 243)(8, 255)(9, 244)(10, 245)(11, 260)(12, 246)(13, 263)(14, 265)(15, 248)(16, 268)(17, 270)(18, 271)(19, 273)(20, 251)(21, 276)(22, 278)(23, 253)(24, 281)(25, 254)(26, 284)(27, 286)(28, 256)(29, 289)(30, 257)(31, 258)(32, 294)(33, 259)(34, 297)(35, 299)(36, 261)(37, 302)(38, 262)(39, 304)(40, 306)(41, 264)(42, 309)(43, 311)(44, 266)(45, 314)(46, 267)(47, 317)(48, 319)(49, 269)(50, 322)(51, 292)(52, 291)(53, 325)(54, 272)(55, 328)(56, 330)(57, 274)(58, 333)(59, 275)(60, 336)(61, 338)(62, 277)(63, 341)(64, 279)(65, 343)(66, 280)(67, 346)(68, 348)(69, 282)(70, 351)(71, 283)(72, 353)(73, 355)(74, 285)(75, 358)(76, 360)(77, 287)(78, 362)(79, 288)(80, 365)(81, 367)(82, 290)(83, 370)(84, 371)(85, 293)(86, 374)(87, 376)(88, 295)(89, 379)(90, 296)(91, 381)(92, 383)(93, 298)(94, 386)(95, 388)(96, 300)(97, 390)(98, 301)(99, 393)(100, 395)(101, 303)(102, 398)(103, 305)(104, 401)(105, 373)(106, 307)(107, 384)(108, 308)(109, 407)(110, 409)(111, 310)(112, 389)(113, 312)(114, 382)(115, 313)(116, 375)(117, 394)(118, 315)(119, 387)(120, 316)(121, 380)(122, 318)(123, 419)(124, 421)(125, 320)(126, 385)(127, 321)(128, 396)(129, 423)(130, 323)(131, 324)(132, 426)(133, 345)(134, 326)(135, 356)(136, 327)(137, 432)(138, 434)(139, 329)(140, 361)(141, 331)(142, 354)(143, 332)(144, 347)(145, 366)(146, 334)(147, 359)(148, 335)(149, 352)(150, 337)(151, 444)(152, 446)(153, 339)(154, 357)(155, 340)(156, 368)(157, 448)(158, 342)(159, 441)(160, 449)(161, 344)(162, 428)(163, 427)(164, 436)(165, 439)(166, 452)(167, 349)(168, 442)(169, 350)(170, 447)(171, 429)(172, 456)(173, 445)(174, 430)(175, 440)(176, 424)(177, 433)(178, 453)(179, 363)(180, 438)(181, 364)(182, 435)(183, 369)(184, 416)(185, 459)(186, 372)(187, 403)(188, 402)(189, 411)(190, 414)(191, 462)(192, 377)(193, 417)(194, 378)(195, 422)(196, 404)(197, 466)(198, 420)(199, 405)(200, 415)(201, 399)(202, 408)(203, 463)(204, 391)(205, 413)(206, 392)(207, 410)(208, 397)(209, 400)(210, 470)(211, 465)(212, 406)(213, 418)(214, 464)(215, 461)(216, 412)(217, 468)(218, 467)(219, 425)(220, 473)(221, 455)(222, 431)(223, 443)(224, 454)(225, 451)(226, 437)(227, 458)(228, 457)(229, 475)(230, 450)(231, 476)(232, 477)(233, 460)(234, 478)(235, 469)(236, 471)(237, 472)(238, 474)(239, 480)(240, 479)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.734
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 60 e = 240 f = 160
	degree seq :: [ 8^60 ]

E11.736 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, T2^6, T2^6, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^3 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1^-2, (T2 * T1^-1)^6 ]
Map::
	R = (1, 241, 3, 243, 10, 250, 24, 264, 14, 254, 5, 245)(2, 242, 7, 247, 17, 257, 37, 277, 20, 260, 8, 248)(4, 244, 12, 252, 27, 267, 46, 286, 22, 262, 9, 249)(6, 246, 15, 255, 32, 272, 63, 303, 35, 275, 16, 256)(11, 251, 26, 266, 52, 292, 91, 331, 48, 288, 23, 263)(13, 253, 29, 269, 57, 297, 106, 346, 60, 300, 30, 270)(18, 258, 39, 279, 74, 314, 129, 369, 70, 310, 36, 276)(19, 259, 40, 280, 76, 316, 139, 379, 79, 319, 41, 281)(21, 261, 43, 283, 81, 321, 148, 388, 84, 324, 44, 284)(25, 265, 51, 291, 95, 335, 161, 401, 93, 333, 49, 289)(28, 268, 56, 296, 103, 343, 160, 400, 101, 341, 54, 294)(31, 271, 50, 290, 94, 334, 140, 380, 113, 353, 61, 301)(33, 273, 65, 305, 119, 359, 174, 414, 115, 355, 62, 302)(34, 274, 66, 306, 121, 361, 180, 420, 124, 364, 67, 307)(38, 278, 73, 313, 133, 373, 90, 330, 131, 371, 71, 311)(42, 282, 72, 312, 132, 372, 181, 421, 146, 386, 80, 320)(45, 285, 85, 325, 150, 390, 107, 347, 152, 392, 86, 326)(47, 287, 88, 328, 154, 394, 202, 442, 156, 396, 89, 329)(53, 293, 99, 339, 123, 363, 112, 352, 164, 404, 97, 337)(55, 295, 102, 342, 166, 406, 173, 413, 153, 393, 87, 327)(58, 298, 108, 348, 170, 410, 209, 449, 168, 408, 105, 345)(59, 299, 109, 349, 162, 402, 96, 336, 120, 360, 110, 350)(64, 304, 118, 358, 178, 418, 128, 368, 176, 416, 116, 356)(68, 308, 117, 357, 177, 417, 149, 389, 182, 422, 125, 365)(69, 309, 126, 366, 183, 423, 218, 458, 185, 425, 127, 367)(75, 315, 137, 377, 83, 323, 145, 385, 191, 431, 135, 375)(77, 317, 141, 381, 195, 435, 223, 463, 193, 433, 138, 378)(78, 318, 142, 382, 189, 429, 134, 374, 104, 344, 143, 383)(82, 322, 144, 384, 194, 434, 224, 464, 198, 438, 147, 387)(92, 332, 158, 398, 204, 444, 229, 469, 205, 445, 159, 399)(98, 338, 114, 354, 172, 412, 211, 451, 203, 443, 157, 397)(100, 340, 165, 405, 207, 447, 219, 459, 186, 426, 136, 376)(111, 351, 169, 409, 210, 450, 216, 456, 179, 419, 122, 362)(130, 370, 187, 427, 220, 460, 236, 476, 221, 461, 188, 428)(151, 391, 200, 440, 227, 467, 238, 478, 226, 466, 199, 439)(155, 395, 190, 430, 167, 407, 208, 448, 228, 468, 201, 441)(163, 403, 197, 437, 225, 465, 237, 477, 230, 470, 206, 446)(171, 411, 192, 432, 222, 462, 235, 475, 217, 457, 184, 424)(175, 415, 213, 453, 232, 472, 240, 480, 233, 473, 214, 454)(196, 436, 215, 455, 234, 474, 239, 479, 231, 471, 212, 452)
	L = (1, 242)(2, 246)(3, 249)(4, 241)(5, 253)(6, 244)(7, 245)(8, 259)(9, 261)(10, 263)(11, 243)(12, 256)(13, 258)(14, 271)(15, 248)(16, 274)(17, 276)(18, 247)(19, 273)(20, 282)(21, 251)(22, 285)(23, 287)(24, 289)(25, 250)(26, 284)(27, 294)(28, 252)(29, 254)(30, 299)(31, 298)(32, 302)(33, 255)(34, 268)(35, 308)(36, 309)(37, 311)(38, 257)(39, 270)(40, 260)(41, 318)(42, 317)(43, 262)(44, 323)(45, 322)(46, 327)(47, 265)(48, 330)(49, 332)(50, 264)(51, 329)(52, 337)(53, 266)(54, 340)(55, 267)(56, 307)(57, 345)(58, 269)(59, 315)(60, 351)(61, 352)(62, 354)(63, 356)(64, 272)(65, 281)(66, 275)(67, 363)(68, 362)(69, 278)(70, 368)(71, 370)(72, 277)(73, 367)(74, 375)(75, 279)(76, 378)(77, 280)(78, 360)(79, 384)(80, 385)(81, 387)(82, 283)(83, 293)(84, 381)(85, 286)(86, 382)(87, 391)(88, 288)(89, 359)(90, 395)(91, 397)(92, 290)(93, 400)(94, 399)(95, 402)(96, 291)(97, 358)(98, 292)(99, 377)(100, 295)(101, 401)(102, 376)(103, 374)(104, 296)(105, 407)(106, 390)(107, 297)(108, 301)(109, 300)(110, 383)(111, 365)(112, 364)(113, 411)(114, 304)(115, 413)(116, 415)(117, 303)(118, 338)(119, 336)(120, 305)(121, 419)(122, 306)(123, 344)(124, 348)(125, 349)(126, 310)(127, 343)(128, 424)(129, 426)(130, 312)(131, 331)(132, 428)(133, 429)(134, 313)(135, 342)(136, 314)(137, 350)(138, 432)(139, 334)(140, 316)(141, 320)(142, 319)(143, 339)(144, 326)(145, 324)(146, 436)(147, 437)(148, 417)(149, 321)(150, 439)(151, 325)(152, 430)(153, 414)(154, 441)(155, 328)(156, 440)(157, 427)(158, 333)(159, 434)(160, 425)(161, 446)(162, 422)(163, 335)(164, 353)(165, 341)(166, 431)(167, 347)(168, 447)(169, 346)(170, 420)(171, 418)(172, 355)(173, 452)(174, 396)(175, 357)(176, 369)(177, 454)(178, 404)(179, 455)(180, 372)(181, 361)(182, 403)(183, 457)(184, 366)(185, 398)(186, 453)(187, 371)(188, 410)(189, 392)(190, 373)(191, 386)(192, 380)(193, 394)(194, 379)(195, 388)(196, 406)(197, 389)(198, 451)(199, 409)(200, 393)(201, 462)(202, 463)(203, 464)(204, 458)(205, 460)(206, 405)(207, 470)(208, 408)(209, 461)(210, 466)(211, 471)(212, 412)(213, 416)(214, 435)(215, 421)(216, 423)(217, 474)(218, 450)(219, 449)(220, 443)(221, 472)(222, 433)(223, 473)(224, 445)(225, 438)(226, 444)(227, 442)(228, 477)(229, 478)(230, 448)(231, 465)(232, 459)(233, 467)(234, 456)(235, 468)(236, 469)(237, 479)(238, 480)(239, 475)(240, 476)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E11.732
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 40 e = 240 f = 180
	degree seq :: [ 12^40 ]

E11.737 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, (T1^2 * T2 * T1^-2 * T2)^2, T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 241, 3, 243)(2, 242, 6, 246)(4, 244, 9, 249)(5, 245, 12, 252)(7, 247, 16, 256)(8, 248, 17, 257)(10, 250, 21, 261)(11, 251, 22, 262)(13, 253, 26, 266)(14, 254, 27, 267)(15, 255, 30, 270)(18, 258, 34, 274)(19, 259, 36, 276)(20, 260, 31, 271)(23, 263, 43, 283)(24, 264, 44, 284)(25, 265, 47, 287)(28, 268, 50, 290)(29, 269, 51, 291)(32, 272, 55, 295)(33, 273, 58, 298)(35, 275, 62, 302)(37, 277, 65, 305)(38, 278, 67, 307)(39, 279, 63, 303)(40, 280, 70, 310)(41, 281, 71, 311)(42, 282, 74, 314)(45, 285, 77, 317)(46, 286, 78, 318)(48, 288, 81, 321)(49, 289, 84, 324)(52, 292, 90, 330)(53, 293, 91, 331)(54, 294, 93, 333)(56, 296, 95, 335)(57, 297, 96, 336)(59, 299, 100, 340)(60, 300, 97, 337)(61, 301, 102, 342)(64, 304, 105, 345)(66, 306, 99, 339)(68, 308, 111, 351)(69, 309, 113, 353)(72, 312, 116, 356)(73, 313, 117, 357)(75, 315, 120, 360)(76, 316, 123, 363)(79, 319, 128, 368)(80, 320, 129, 369)(82, 322, 131, 371)(83, 323, 132, 372)(85, 325, 135, 375)(86, 326, 133, 373)(87, 327, 138, 378)(88, 328, 139, 379)(89, 329, 141, 381)(92, 332, 144, 384)(94, 334, 148, 388)(98, 338, 153, 393)(101, 341, 157, 397)(103, 343, 160, 400)(104, 344, 162, 402)(106, 346, 164, 404)(107, 347, 165, 405)(108, 348, 145, 385)(109, 349, 167, 407)(110, 350, 168, 408)(112, 352, 171, 411)(114, 354, 173, 413)(115, 355, 176, 416)(118, 358, 181, 421)(119, 359, 182, 422)(121, 361, 184, 424)(122, 362, 185, 425)(124, 364, 186, 426)(125, 365, 189, 429)(126, 366, 190, 430)(127, 367, 192, 432)(130, 370, 196, 436)(134, 374, 201, 441)(136, 376, 204, 444)(137, 377, 195, 435)(140, 380, 183, 423)(142, 382, 177, 417)(143, 383, 179, 419)(146, 386, 188, 428)(147, 387, 209, 449)(149, 389, 212, 452)(150, 390, 210, 450)(151, 391, 178, 418)(152, 392, 172, 412)(154, 394, 191, 431)(155, 395, 200, 440)(156, 396, 214, 454)(158, 398, 203, 443)(159, 399, 198, 438)(161, 401, 206, 446)(163, 403, 216, 456)(166, 406, 215, 455)(169, 409, 207, 447)(170, 410, 193, 433)(174, 414, 219, 459)(175, 415, 220, 460)(180, 420, 222, 462)(187, 427, 224, 464)(194, 434, 218, 458)(197, 437, 227, 467)(199, 439, 217, 457)(202, 442, 221, 461)(205, 445, 229, 469)(208, 448, 231, 471)(211, 451, 232, 472)(213, 453, 233, 473)(223, 463, 235, 475)(225, 465, 236, 476)(226, 466, 237, 477)(228, 468, 238, 478)(230, 470, 239, 479)(234, 474, 240, 480)
	L = (1, 242)(2, 245)(3, 247)(4, 241)(5, 251)(6, 253)(7, 255)(8, 243)(9, 259)(10, 244)(11, 250)(12, 263)(13, 265)(14, 246)(15, 269)(16, 271)(17, 273)(18, 248)(19, 275)(20, 249)(21, 278)(22, 280)(23, 282)(24, 252)(25, 286)(26, 257)(27, 289)(28, 254)(29, 258)(30, 292)(31, 294)(32, 256)(33, 297)(34, 299)(35, 301)(36, 303)(37, 260)(38, 306)(39, 261)(40, 309)(41, 262)(42, 313)(43, 267)(44, 316)(45, 264)(46, 268)(47, 319)(48, 266)(49, 323)(50, 325)(51, 327)(52, 329)(53, 270)(54, 332)(55, 334)(56, 272)(57, 322)(58, 337)(59, 339)(60, 274)(61, 277)(62, 343)(63, 344)(64, 276)(65, 347)(66, 349)(67, 311)(68, 279)(69, 352)(70, 284)(71, 355)(72, 281)(73, 285)(74, 358)(75, 283)(76, 362)(77, 293)(78, 365)(79, 367)(80, 287)(81, 370)(82, 288)(83, 361)(84, 373)(85, 302)(86, 290)(87, 377)(88, 291)(89, 364)(90, 295)(91, 383)(92, 296)(93, 385)(94, 387)(95, 389)(96, 391)(97, 392)(98, 298)(99, 395)(100, 379)(101, 300)(102, 398)(103, 376)(104, 401)(105, 403)(106, 304)(107, 353)(108, 305)(109, 308)(110, 307)(111, 359)(112, 312)(113, 412)(114, 310)(115, 415)(116, 320)(117, 418)(118, 420)(119, 314)(120, 423)(121, 315)(122, 414)(123, 426)(124, 317)(125, 428)(126, 318)(127, 417)(128, 321)(129, 434)(130, 435)(131, 437)(132, 439)(133, 440)(134, 324)(135, 430)(136, 326)(137, 445)(138, 331)(139, 424)(140, 328)(141, 432)(142, 330)(143, 447)(144, 429)(145, 421)(146, 333)(147, 416)(148, 450)(149, 336)(150, 335)(151, 422)(152, 413)(153, 453)(154, 338)(155, 341)(156, 340)(157, 444)(158, 449)(159, 342)(160, 345)(161, 346)(162, 433)(163, 427)(164, 448)(165, 438)(166, 348)(167, 454)(168, 442)(169, 350)(170, 351)(171, 457)(172, 406)(173, 394)(174, 354)(175, 409)(176, 382)(177, 356)(178, 393)(179, 357)(180, 410)(181, 360)(182, 390)(183, 386)(184, 463)(185, 396)(186, 400)(187, 363)(188, 465)(189, 369)(190, 459)(191, 366)(192, 462)(193, 368)(194, 404)(195, 402)(196, 399)(197, 372)(198, 371)(199, 405)(200, 408)(201, 468)(202, 374)(203, 375)(204, 381)(205, 380)(206, 378)(207, 470)(208, 384)(209, 466)(210, 407)(211, 388)(212, 471)(213, 461)(214, 464)(215, 397)(216, 458)(217, 441)(218, 411)(219, 474)(220, 443)(221, 419)(222, 455)(223, 425)(224, 451)(225, 431)(226, 436)(227, 452)(228, 456)(229, 477)(230, 446)(231, 479)(232, 478)(233, 476)(234, 460)(235, 467)(236, 469)(237, 472)(238, 473)(239, 480)(240, 475)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E11.733
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 120 e = 240 f = 100
	degree seq :: [ 4^120 ]

E11.738 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, (Y3 * Y2^-1)^6, Y2^-1 * Y1 * Y2^-1 * R * Y2^2 * R * Y2^-2 * Y1 * Y2 * R * Y2^2 * R * Y2^-1, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1 * Y2 * R * Y2^2 * R)^2, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * R * Y2^2 * R * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 10, 250)(6, 246, 12, 252)(8, 248, 15, 255)(11, 251, 20, 260)(13, 253, 23, 263)(14, 254, 25, 265)(16, 256, 28, 268)(17, 257, 30, 270)(18, 258, 31, 271)(19, 259, 33, 273)(21, 261, 36, 276)(22, 262, 38, 278)(24, 264, 41, 281)(26, 266, 44, 284)(27, 267, 46, 286)(29, 269, 49, 289)(32, 272, 54, 294)(34, 274, 57, 297)(35, 275, 59, 299)(37, 277, 62, 302)(39, 279, 64, 304)(40, 280, 66, 306)(42, 282, 69, 309)(43, 283, 71, 311)(45, 285, 74, 314)(47, 287, 77, 317)(48, 288, 79, 319)(50, 290, 82, 322)(51, 291, 52, 292)(53, 293, 85, 325)(55, 295, 88, 328)(56, 296, 90, 330)(58, 298, 93, 333)(60, 300, 96, 336)(61, 301, 98, 338)(63, 303, 101, 341)(65, 305, 103, 343)(67, 307, 106, 346)(68, 308, 108, 348)(70, 310, 111, 351)(72, 312, 113, 353)(73, 313, 115, 355)(75, 315, 118, 358)(76, 316, 120, 360)(78, 318, 122, 362)(80, 320, 125, 365)(81, 321, 127, 367)(83, 323, 130, 370)(84, 324, 131, 371)(86, 326, 134, 374)(87, 327, 136, 376)(89, 329, 139, 379)(91, 331, 141, 381)(92, 332, 143, 383)(94, 334, 146, 386)(95, 335, 148, 388)(97, 337, 150, 390)(99, 339, 153, 393)(100, 340, 155, 395)(102, 342, 158, 398)(104, 344, 161, 401)(105, 345, 133, 373)(107, 347, 144, 384)(109, 349, 167, 407)(110, 350, 169, 409)(112, 352, 149, 389)(114, 354, 142, 382)(116, 356, 135, 375)(117, 357, 154, 394)(119, 359, 147, 387)(121, 361, 140, 380)(123, 363, 179, 419)(124, 364, 181, 421)(126, 366, 145, 385)(128, 368, 156, 396)(129, 369, 183, 423)(132, 372, 186, 426)(137, 377, 192, 432)(138, 378, 194, 434)(151, 391, 204, 444)(152, 392, 206, 446)(157, 397, 208, 448)(159, 399, 201, 441)(160, 400, 209, 449)(162, 402, 188, 428)(163, 403, 187, 427)(164, 404, 196, 436)(165, 405, 199, 439)(166, 406, 212, 452)(168, 408, 202, 442)(170, 410, 207, 447)(171, 411, 189, 429)(172, 412, 216, 456)(173, 413, 205, 445)(174, 414, 190, 430)(175, 415, 200, 440)(176, 416, 184, 424)(177, 417, 193, 433)(178, 418, 213, 453)(180, 420, 198, 438)(182, 422, 195, 435)(185, 425, 219, 459)(191, 431, 222, 462)(197, 437, 226, 466)(203, 443, 223, 463)(210, 450, 230, 470)(211, 451, 225, 465)(214, 454, 224, 464)(215, 455, 221, 461)(217, 457, 228, 468)(218, 458, 227, 467)(220, 460, 233, 473)(229, 469, 235, 475)(231, 471, 236, 476)(232, 472, 237, 477)(234, 474, 238, 478)(239, 479, 240, 480)(481, 721, 483, 723, 488, 728, 484, 724)(482, 722, 485, 725, 491, 731, 486, 726)(487, 727, 493, 733, 504, 744, 494, 734)(489, 729, 496, 736, 509, 749, 497, 737)(490, 730, 498, 738, 512, 752, 499, 739)(492, 732, 501, 741, 517, 757, 502, 742)(495, 735, 506, 746, 525, 765, 507, 747)(500, 740, 514, 754, 538, 778, 515, 755)(503, 743, 519, 759, 545, 785, 520, 760)(505, 745, 522, 762, 550, 790, 523, 763)(508, 748, 527, 767, 558, 798, 528, 768)(510, 750, 530, 770, 563, 803, 531, 771)(511, 751, 532, 772, 564, 804, 533, 773)(513, 753, 535, 775, 569, 809, 536, 776)(516, 756, 540, 780, 577, 817, 541, 781)(518, 758, 543, 783, 582, 822, 544, 784)(521, 761, 547, 787, 587, 827, 548, 788)(524, 764, 552, 792, 594, 834, 553, 793)(526, 766, 555, 795, 599, 839, 556, 796)(529, 769, 560, 800, 606, 846, 561, 801)(534, 774, 566, 806, 615, 855, 567, 807)(537, 777, 571, 811, 622, 862, 572, 812)(539, 779, 574, 814, 627, 867, 575, 815)(542, 782, 579, 819, 634, 874, 580, 820)(546, 786, 584, 824, 642, 882, 585, 825)(549, 789, 589, 829, 648, 888, 590, 830)(551, 791, 592, 832, 652, 892, 593, 833)(554, 794, 596, 836, 655, 895, 597, 837)(557, 797, 600, 840, 658, 898, 601, 841)(559, 799, 603, 843, 660, 900, 604, 844)(562, 802, 608, 848, 662, 902, 609, 849)(565, 805, 612, 852, 667, 907, 613, 853)(568, 808, 617, 857, 673, 913, 618, 858)(570, 810, 620, 860, 677, 917, 621, 861)(573, 813, 624, 864, 680, 920, 625, 865)(576, 816, 628, 868, 683, 923, 629, 869)(578, 818, 631, 871, 685, 925, 632, 872)(581, 821, 636, 876, 687, 927, 637, 877)(583, 823, 639, 879, 605, 845, 640, 880)(586, 826, 643, 883, 602, 842, 644, 884)(588, 828, 645, 885, 610, 850, 646, 886)(591, 831, 650, 890, 607, 847, 651, 891)(595, 835, 653, 893, 697, 937, 654, 894)(598, 838, 656, 896, 698, 938, 657, 897)(611, 851, 664, 904, 633, 873, 665, 905)(614, 854, 668, 908, 630, 870, 669, 909)(616, 856, 670, 910, 638, 878, 671, 911)(619, 859, 675, 915, 635, 875, 676, 916)(623, 863, 678, 918, 707, 947, 679, 919)(626, 866, 681, 921, 708, 948, 682, 922)(641, 881, 690, 930, 663, 903, 691, 931)(647, 887, 692, 932, 711, 951, 693, 933)(649, 889, 694, 934, 659, 899, 695, 935)(661, 901, 696, 936, 709, 949, 689, 929)(666, 906, 700, 940, 688, 928, 701, 941)(672, 912, 702, 942, 714, 954, 703, 943)(674, 914, 704, 944, 684, 924, 705, 945)(686, 926, 706, 946, 712, 952, 699, 939)(710, 950, 715, 955, 719, 959, 716, 956)(713, 953, 717, 957, 720, 960, 718, 958)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 490)(6, 492)(7, 483)(8, 495)(9, 484)(10, 485)(11, 500)(12, 486)(13, 503)(14, 505)(15, 488)(16, 508)(17, 510)(18, 511)(19, 513)(20, 491)(21, 516)(22, 518)(23, 493)(24, 521)(25, 494)(26, 524)(27, 526)(28, 496)(29, 529)(30, 497)(31, 498)(32, 534)(33, 499)(34, 537)(35, 539)(36, 501)(37, 542)(38, 502)(39, 544)(40, 546)(41, 504)(42, 549)(43, 551)(44, 506)(45, 554)(46, 507)(47, 557)(48, 559)(49, 509)(50, 562)(51, 532)(52, 531)(53, 565)(54, 512)(55, 568)(56, 570)(57, 514)(58, 573)(59, 515)(60, 576)(61, 578)(62, 517)(63, 581)(64, 519)(65, 583)(66, 520)(67, 586)(68, 588)(69, 522)(70, 591)(71, 523)(72, 593)(73, 595)(74, 525)(75, 598)(76, 600)(77, 527)(78, 602)(79, 528)(80, 605)(81, 607)(82, 530)(83, 610)(84, 611)(85, 533)(86, 614)(87, 616)(88, 535)(89, 619)(90, 536)(91, 621)(92, 623)(93, 538)(94, 626)(95, 628)(96, 540)(97, 630)(98, 541)(99, 633)(100, 635)(101, 543)(102, 638)(103, 545)(104, 641)(105, 613)(106, 547)(107, 624)(108, 548)(109, 647)(110, 649)(111, 550)(112, 629)(113, 552)(114, 622)(115, 553)(116, 615)(117, 634)(118, 555)(119, 627)(120, 556)(121, 620)(122, 558)(123, 659)(124, 661)(125, 560)(126, 625)(127, 561)(128, 636)(129, 663)(130, 563)(131, 564)(132, 666)(133, 585)(134, 566)(135, 596)(136, 567)(137, 672)(138, 674)(139, 569)(140, 601)(141, 571)(142, 594)(143, 572)(144, 587)(145, 606)(146, 574)(147, 599)(148, 575)(149, 592)(150, 577)(151, 684)(152, 686)(153, 579)(154, 597)(155, 580)(156, 608)(157, 688)(158, 582)(159, 681)(160, 689)(161, 584)(162, 668)(163, 667)(164, 676)(165, 679)(166, 692)(167, 589)(168, 682)(169, 590)(170, 687)(171, 669)(172, 696)(173, 685)(174, 670)(175, 680)(176, 664)(177, 673)(178, 693)(179, 603)(180, 678)(181, 604)(182, 675)(183, 609)(184, 656)(185, 699)(186, 612)(187, 643)(188, 642)(189, 651)(190, 654)(191, 702)(192, 617)(193, 657)(194, 618)(195, 662)(196, 644)(197, 706)(198, 660)(199, 645)(200, 655)(201, 639)(202, 648)(203, 703)(204, 631)(205, 653)(206, 632)(207, 650)(208, 637)(209, 640)(210, 710)(211, 705)(212, 646)(213, 658)(214, 704)(215, 701)(216, 652)(217, 708)(218, 707)(219, 665)(220, 713)(221, 695)(222, 671)(223, 683)(224, 694)(225, 691)(226, 677)(227, 698)(228, 697)(229, 715)(230, 690)(231, 716)(232, 717)(233, 700)(234, 718)(235, 709)(236, 711)(237, 712)(238, 714)(239, 720)(240, 719)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.741
Graph:: bipartite
	v = 180 e = 480 f = 280
	degree seq :: [ 4^120, 8^60 ]

E11.739 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2^6, Y2^6, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^3 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-2, (Y2 * Y1^-1)^6 ]
Map::
	R = (1, 241, 2, 242, 6, 246, 4, 244)(3, 243, 9, 249, 21, 261, 11, 251)(5, 245, 13, 253, 18, 258, 7, 247)(8, 248, 19, 259, 33, 273, 15, 255)(10, 250, 23, 263, 47, 287, 25, 265)(12, 252, 16, 256, 34, 274, 28, 268)(14, 254, 31, 271, 58, 298, 29, 269)(17, 257, 36, 276, 69, 309, 38, 278)(20, 260, 42, 282, 77, 317, 40, 280)(22, 262, 45, 285, 82, 322, 43, 283)(24, 264, 49, 289, 92, 332, 50, 290)(26, 266, 44, 284, 83, 323, 53, 293)(27, 267, 54, 294, 100, 340, 55, 295)(30, 270, 59, 299, 75, 315, 39, 279)(32, 272, 62, 302, 114, 354, 64, 304)(35, 275, 68, 308, 122, 362, 66, 306)(37, 277, 71, 311, 130, 370, 72, 312)(41, 281, 78, 318, 120, 360, 65, 305)(46, 286, 87, 327, 151, 391, 85, 325)(48, 288, 90, 330, 155, 395, 88, 328)(51, 291, 89, 329, 119, 359, 96, 336)(52, 292, 97, 337, 118, 358, 98, 338)(56, 296, 67, 307, 123, 363, 104, 344)(57, 297, 105, 345, 167, 407, 107, 347)(60, 300, 111, 351, 125, 365, 109, 349)(61, 301, 112, 352, 124, 364, 108, 348)(63, 303, 116, 356, 175, 415, 117, 357)(70, 310, 128, 368, 184, 424, 126, 366)(73, 313, 127, 367, 103, 343, 134, 374)(74, 314, 135, 375, 102, 342, 136, 376)(76, 316, 138, 378, 192, 432, 140, 380)(79, 319, 144, 384, 86, 326, 142, 382)(80, 320, 145, 385, 84, 324, 141, 381)(81, 321, 147, 387, 197, 437, 149, 389)(91, 331, 157, 397, 187, 427, 131, 371)(93, 333, 160, 400, 185, 425, 158, 398)(94, 334, 159, 399, 194, 434, 139, 379)(95, 335, 162, 402, 182, 422, 163, 403)(99, 339, 137, 377, 110, 350, 143, 383)(101, 341, 161, 401, 206, 446, 165, 405)(106, 346, 150, 390, 199, 439, 169, 409)(113, 353, 171, 411, 178, 418, 164, 404)(115, 355, 173, 413, 212, 452, 172, 412)(121, 361, 179, 419, 215, 455, 181, 421)(129, 369, 186, 426, 213, 453, 176, 416)(132, 372, 188, 428, 170, 410, 180, 420)(133, 373, 189, 429, 152, 392, 190, 430)(146, 386, 196, 436, 166, 406, 191, 431)(148, 388, 177, 417, 214, 454, 195, 435)(153, 393, 174, 414, 156, 396, 200, 440)(154, 394, 201, 441, 222, 462, 193, 433)(168, 408, 207, 447, 230, 470, 208, 448)(183, 423, 217, 457, 234, 474, 216, 456)(198, 438, 211, 451, 231, 471, 225, 465)(202, 442, 223, 463, 233, 473, 227, 467)(203, 443, 224, 464, 205, 445, 220, 460)(204, 444, 218, 458, 210, 450, 226, 466)(209, 449, 221, 461, 232, 472, 219, 459)(228, 468, 237, 477, 239, 479, 235, 475)(229, 469, 238, 478, 240, 480, 236, 476)(481, 721, 483, 723, 490, 730, 504, 744, 494, 734, 485, 725)(482, 722, 487, 727, 497, 737, 517, 757, 500, 740, 488, 728)(484, 724, 492, 732, 507, 747, 526, 766, 502, 742, 489, 729)(486, 726, 495, 735, 512, 752, 543, 783, 515, 755, 496, 736)(491, 731, 506, 746, 532, 772, 571, 811, 528, 768, 503, 743)(493, 733, 509, 749, 537, 777, 586, 826, 540, 780, 510, 750)(498, 738, 519, 759, 554, 794, 609, 849, 550, 790, 516, 756)(499, 739, 520, 760, 556, 796, 619, 859, 559, 799, 521, 761)(501, 741, 523, 763, 561, 801, 628, 868, 564, 804, 524, 764)(505, 745, 531, 771, 575, 815, 641, 881, 573, 813, 529, 769)(508, 748, 536, 776, 583, 823, 640, 880, 581, 821, 534, 774)(511, 751, 530, 770, 574, 814, 620, 860, 593, 833, 541, 781)(513, 753, 545, 785, 599, 839, 654, 894, 595, 835, 542, 782)(514, 754, 546, 786, 601, 841, 660, 900, 604, 844, 547, 787)(518, 758, 553, 793, 613, 853, 570, 810, 611, 851, 551, 791)(522, 762, 552, 792, 612, 852, 661, 901, 626, 866, 560, 800)(525, 765, 565, 805, 630, 870, 587, 827, 632, 872, 566, 806)(527, 767, 568, 808, 634, 874, 682, 922, 636, 876, 569, 809)(533, 773, 579, 819, 603, 843, 592, 832, 644, 884, 577, 817)(535, 775, 582, 822, 646, 886, 653, 893, 633, 873, 567, 807)(538, 778, 588, 828, 650, 890, 689, 929, 648, 888, 585, 825)(539, 779, 589, 829, 642, 882, 576, 816, 600, 840, 590, 830)(544, 784, 598, 838, 658, 898, 608, 848, 656, 896, 596, 836)(548, 788, 597, 837, 657, 897, 629, 869, 662, 902, 605, 845)(549, 789, 606, 846, 663, 903, 698, 938, 665, 905, 607, 847)(555, 795, 617, 857, 563, 803, 625, 865, 671, 911, 615, 855)(557, 797, 621, 861, 675, 915, 703, 943, 673, 913, 618, 858)(558, 798, 622, 862, 669, 909, 614, 854, 584, 824, 623, 863)(562, 802, 624, 864, 674, 914, 704, 944, 678, 918, 627, 867)(572, 812, 638, 878, 684, 924, 709, 949, 685, 925, 639, 879)(578, 818, 594, 834, 652, 892, 691, 931, 683, 923, 637, 877)(580, 820, 645, 885, 687, 927, 699, 939, 666, 906, 616, 856)(591, 831, 649, 889, 690, 930, 696, 936, 659, 899, 602, 842)(610, 850, 667, 907, 700, 940, 716, 956, 701, 941, 668, 908)(631, 871, 680, 920, 707, 947, 718, 958, 706, 946, 679, 919)(635, 875, 670, 910, 647, 887, 688, 928, 708, 948, 681, 921)(643, 883, 677, 917, 705, 945, 717, 957, 710, 950, 686, 926)(651, 891, 672, 912, 702, 942, 715, 955, 697, 937, 664, 904)(655, 895, 693, 933, 712, 952, 720, 960, 713, 953, 694, 934)(676, 916, 695, 935, 714, 954, 719, 959, 711, 951, 692, 932)
	L = (1, 483)(2, 487)(3, 490)(4, 492)(5, 481)(6, 495)(7, 497)(8, 482)(9, 484)(10, 504)(11, 506)(12, 507)(13, 509)(14, 485)(15, 512)(16, 486)(17, 517)(18, 519)(19, 520)(20, 488)(21, 523)(22, 489)(23, 491)(24, 494)(25, 531)(26, 532)(27, 526)(28, 536)(29, 537)(30, 493)(31, 530)(32, 543)(33, 545)(34, 546)(35, 496)(36, 498)(37, 500)(38, 553)(39, 554)(40, 556)(41, 499)(42, 552)(43, 561)(44, 501)(45, 565)(46, 502)(47, 568)(48, 503)(49, 505)(50, 574)(51, 575)(52, 571)(53, 579)(54, 508)(55, 582)(56, 583)(57, 586)(58, 588)(59, 589)(60, 510)(61, 511)(62, 513)(63, 515)(64, 598)(65, 599)(66, 601)(67, 514)(68, 597)(69, 606)(70, 516)(71, 518)(72, 612)(73, 613)(74, 609)(75, 617)(76, 619)(77, 621)(78, 622)(79, 521)(80, 522)(81, 628)(82, 624)(83, 625)(84, 524)(85, 630)(86, 525)(87, 535)(88, 634)(89, 527)(90, 611)(91, 528)(92, 638)(93, 529)(94, 620)(95, 641)(96, 600)(97, 533)(98, 594)(99, 603)(100, 645)(101, 534)(102, 646)(103, 640)(104, 623)(105, 538)(106, 540)(107, 632)(108, 650)(109, 642)(110, 539)(111, 649)(112, 644)(113, 541)(114, 652)(115, 542)(116, 544)(117, 657)(118, 658)(119, 654)(120, 590)(121, 660)(122, 591)(123, 592)(124, 547)(125, 548)(126, 663)(127, 549)(128, 656)(129, 550)(130, 667)(131, 551)(132, 661)(133, 570)(134, 584)(135, 555)(136, 580)(137, 563)(138, 557)(139, 559)(140, 593)(141, 675)(142, 669)(143, 558)(144, 674)(145, 671)(146, 560)(147, 562)(148, 564)(149, 662)(150, 587)(151, 680)(152, 566)(153, 567)(154, 682)(155, 670)(156, 569)(157, 578)(158, 684)(159, 572)(160, 581)(161, 573)(162, 576)(163, 677)(164, 577)(165, 687)(166, 653)(167, 688)(168, 585)(169, 690)(170, 689)(171, 672)(172, 691)(173, 633)(174, 595)(175, 693)(176, 596)(177, 629)(178, 608)(179, 602)(180, 604)(181, 626)(182, 605)(183, 698)(184, 651)(185, 607)(186, 616)(187, 700)(188, 610)(189, 614)(190, 647)(191, 615)(192, 702)(193, 618)(194, 704)(195, 703)(196, 695)(197, 705)(198, 627)(199, 631)(200, 707)(201, 635)(202, 636)(203, 637)(204, 709)(205, 639)(206, 643)(207, 699)(208, 708)(209, 648)(210, 696)(211, 683)(212, 676)(213, 712)(214, 655)(215, 714)(216, 659)(217, 664)(218, 665)(219, 666)(220, 716)(221, 668)(222, 715)(223, 673)(224, 678)(225, 717)(226, 679)(227, 718)(228, 681)(229, 685)(230, 686)(231, 692)(232, 720)(233, 694)(234, 719)(235, 697)(236, 701)(237, 710)(238, 706)(239, 711)(240, 713)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E11.740
Graph:: bipartite
	v = 100 e = 480 f = 360
	degree seq :: [ 8^60, 12^40 ]

E11.740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2)^4, (Y2 * Y3^2 * Y2 * Y3^-2)^2, (Y2 * Y3^2 * Y2 * Y3^-2)^2, (Y3^-1 * Y1^-1)^6, Y3 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^2 * Y2, Y2 * Y3^3 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 ]
Map:: polytopal
	R = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)(481, 721, 482, 722)(483, 723, 487, 727)(484, 724, 489, 729)(485, 725, 491, 731)(486, 726, 493, 733)(488, 728, 497, 737)(490, 730, 501, 741)(492, 732, 504, 744)(494, 734, 508, 748)(495, 735, 507, 747)(496, 736, 510, 750)(498, 738, 514, 754)(499, 739, 515, 755)(500, 740, 502, 742)(503, 743, 521, 761)(505, 745, 525, 765)(506, 746, 526, 766)(509, 749, 531, 771)(511, 751, 535, 775)(512, 752, 534, 774)(513, 753, 537, 777)(516, 756, 543, 783)(517, 757, 545, 785)(518, 758, 546, 786)(519, 759, 541, 781)(520, 760, 549, 789)(522, 762, 553, 793)(523, 763, 552, 792)(524, 764, 555, 795)(527, 767, 561, 801)(528, 768, 563, 803)(529, 769, 564, 804)(530, 770, 559, 799)(532, 772, 569, 809)(533, 773, 570, 810)(536, 776, 575, 815)(538, 778, 556, 796)(539, 779, 578, 818)(540, 780, 580, 820)(542, 782, 583, 823)(544, 784, 586, 826)(547, 787, 565, 805)(548, 788, 591, 831)(550, 790, 594, 834)(551, 791, 595, 835)(554, 794, 600, 840)(557, 797, 603, 843)(558, 798, 605, 845)(560, 800, 608, 848)(562, 802, 611, 851)(566, 806, 616, 856)(567, 807, 613, 853)(568, 808, 618, 858)(571, 811, 624, 864)(572, 812, 626, 866)(573, 813, 627, 867)(574, 814, 622, 862)(576, 816, 631, 871)(577, 817, 632, 872)(579, 819, 635, 875)(581, 821, 619, 859)(582, 822, 638, 878)(584, 824, 642, 882)(585, 825, 641, 881)(587, 827, 645, 885)(588, 828, 592, 832)(589, 829, 647, 887)(590, 830, 649, 889)(593, 833, 652, 892)(596, 836, 658, 898)(597, 837, 660, 900)(598, 838, 661, 901)(599, 839, 656, 896)(601, 841, 665, 905)(602, 842, 666, 906)(604, 844, 669, 909)(606, 846, 653, 893)(607, 847, 672, 912)(609, 849, 676, 916)(610, 850, 675, 915)(612, 852, 679, 919)(614, 854, 681, 921)(615, 855, 683, 923)(617, 857, 663, 903)(620, 860, 654, 894)(621, 861, 686, 926)(623, 863, 687, 927)(625, 865, 671, 911)(628, 868, 664, 904)(629, 869, 651, 891)(630, 870, 662, 902)(633, 873, 682, 922)(634, 874, 673, 913)(636, 876, 694, 934)(637, 877, 659, 899)(639, 879, 668, 908)(640, 880, 696, 936)(643, 883, 690, 930)(644, 884, 678, 918)(646, 886, 684, 924)(648, 888, 667, 907)(650, 890, 680, 920)(655, 895, 698, 938)(657, 897, 699, 939)(670, 910, 706, 946)(674, 914, 708, 948)(677, 917, 702, 942)(685, 925, 709, 949)(688, 928, 704, 944)(689, 929, 712, 952)(691, 931, 703, 943)(692, 932, 700, 940)(693, 933, 710, 950)(695, 935, 713, 953)(697, 937, 714, 954)(701, 941, 717, 957)(705, 945, 715, 955)(707, 947, 718, 958)(711, 951, 716, 956)(719, 959, 720, 960)
	L = (1, 483)(2, 485)(3, 488)(4, 481)(5, 492)(6, 482)(7, 495)(8, 498)(9, 499)(10, 484)(11, 502)(12, 505)(13, 506)(14, 486)(15, 509)(16, 487)(17, 512)(18, 490)(19, 516)(20, 489)(21, 518)(22, 520)(23, 491)(24, 523)(25, 494)(26, 527)(27, 493)(28, 529)(29, 532)(30, 533)(31, 496)(32, 536)(33, 497)(34, 539)(35, 541)(36, 544)(37, 500)(38, 547)(39, 501)(40, 550)(41, 551)(42, 503)(43, 554)(44, 504)(45, 557)(46, 559)(47, 562)(48, 507)(49, 565)(50, 508)(51, 567)(52, 511)(53, 571)(54, 510)(55, 573)(56, 576)(57, 577)(58, 513)(59, 579)(60, 514)(61, 582)(62, 515)(63, 585)(64, 517)(65, 587)(66, 580)(67, 590)(68, 519)(69, 592)(70, 522)(71, 596)(72, 521)(73, 598)(74, 601)(75, 602)(76, 524)(77, 604)(78, 525)(79, 607)(80, 526)(81, 610)(82, 528)(83, 612)(84, 605)(85, 615)(86, 530)(87, 617)(88, 531)(89, 620)(90, 622)(91, 625)(92, 534)(93, 543)(94, 535)(95, 629)(96, 538)(97, 633)(98, 537)(99, 636)(100, 637)(101, 540)(102, 639)(103, 640)(104, 542)(105, 628)(106, 643)(107, 635)(108, 545)(109, 546)(110, 548)(111, 630)(112, 651)(113, 549)(114, 654)(115, 656)(116, 659)(117, 552)(118, 561)(119, 553)(120, 663)(121, 556)(122, 667)(123, 555)(124, 670)(125, 671)(126, 558)(127, 673)(128, 674)(129, 560)(130, 662)(131, 677)(132, 669)(133, 563)(134, 564)(135, 566)(136, 664)(137, 660)(138, 685)(139, 568)(140, 652)(141, 569)(142, 683)(143, 570)(144, 689)(145, 572)(146, 653)(147, 686)(148, 574)(149, 691)(150, 575)(151, 675)(152, 665)(153, 693)(154, 578)(155, 672)(156, 581)(157, 695)(158, 680)(159, 584)(160, 692)(161, 583)(162, 655)(163, 658)(164, 586)(165, 678)(166, 588)(167, 688)(168, 589)(169, 681)(170, 591)(171, 626)(172, 697)(173, 593)(174, 618)(175, 594)(176, 649)(177, 595)(178, 701)(179, 597)(180, 619)(181, 698)(182, 599)(183, 703)(184, 600)(185, 641)(186, 631)(187, 705)(188, 603)(189, 638)(190, 606)(191, 707)(192, 646)(193, 609)(194, 704)(195, 608)(196, 621)(197, 624)(198, 611)(199, 644)(200, 613)(201, 700)(202, 614)(203, 647)(204, 616)(205, 642)(206, 710)(207, 711)(208, 623)(209, 645)(210, 627)(211, 650)(212, 632)(213, 634)(214, 712)(215, 648)(216, 709)(217, 676)(218, 715)(219, 716)(220, 657)(221, 679)(222, 661)(223, 684)(224, 666)(225, 668)(226, 717)(227, 682)(228, 714)(229, 694)(230, 719)(231, 696)(232, 687)(233, 690)(234, 706)(235, 720)(236, 708)(237, 699)(238, 702)(239, 713)(240, 718)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.739
Graph:: simple bipartite
	v = 360 e = 480 f = 100
	degree seq :: [ 2^240, 4^120 ]

E11.741 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^6, (Y3 * Y1^-1)^4, (Y3 * Y1^2 * Y3 * Y1^-2)^2, Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 241, 2, 242, 5, 245, 11, 251, 10, 250, 4, 244)(3, 243, 7, 247, 15, 255, 29, 269, 18, 258, 8, 248)(6, 246, 13, 253, 25, 265, 46, 286, 28, 268, 14, 254)(9, 249, 19, 259, 35, 275, 61, 301, 37, 277, 20, 260)(12, 252, 23, 263, 42, 282, 73, 313, 45, 285, 24, 264)(16, 256, 31, 271, 54, 294, 92, 332, 56, 296, 32, 272)(17, 257, 33, 273, 57, 297, 82, 322, 48, 288, 26, 266)(21, 261, 38, 278, 66, 306, 109, 349, 68, 308, 39, 279)(22, 262, 40, 280, 69, 309, 112, 352, 72, 312, 41, 281)(27, 267, 49, 289, 83, 323, 121, 361, 75, 315, 43, 283)(30, 270, 52, 292, 89, 329, 124, 364, 77, 317, 53, 293)(34, 274, 59, 299, 99, 339, 155, 395, 101, 341, 60, 300)(36, 276, 63, 303, 104, 344, 161, 401, 106, 346, 64, 304)(44, 284, 76, 316, 122, 362, 174, 414, 114, 354, 70, 310)(47, 287, 79, 319, 127, 367, 177, 417, 116, 356, 80, 320)(50, 290, 85, 325, 62, 302, 103, 343, 136, 376, 86, 326)(51, 291, 87, 327, 137, 377, 205, 445, 140, 380, 88, 328)(55, 295, 94, 334, 147, 387, 176, 416, 142, 382, 90, 330)(58, 298, 97, 337, 152, 392, 173, 413, 154, 394, 98, 338)(65, 305, 107, 347, 113, 353, 172, 412, 166, 406, 108, 348)(67, 307, 71, 311, 115, 355, 175, 415, 169, 409, 110, 350)(74, 314, 118, 358, 180, 420, 170, 410, 111, 351, 119, 359)(78, 318, 125, 365, 188, 428, 225, 465, 191, 431, 126, 366)(81, 321, 130, 370, 195, 435, 162, 402, 193, 433, 128, 368)(84, 324, 133, 373, 200, 440, 168, 408, 202, 442, 134, 374)(91, 331, 143, 383, 207, 447, 230, 470, 206, 446, 138, 378)(93, 333, 145, 385, 181, 421, 120, 360, 183, 423, 146, 386)(95, 335, 149, 389, 96, 336, 151, 391, 182, 422, 150, 390)(100, 340, 139, 379, 184, 424, 223, 463, 185, 425, 156, 396)(102, 342, 158, 398, 209, 449, 226, 466, 196, 436, 159, 399)(105, 345, 163, 403, 187, 427, 123, 363, 186, 426, 160, 400)(117, 357, 178, 418, 153, 393, 213, 453, 221, 461, 179, 419)(129, 369, 194, 434, 164, 404, 208, 448, 144, 384, 189, 429)(131, 371, 197, 437, 132, 372, 199, 439, 165, 405, 198, 438)(135, 375, 190, 430, 219, 459, 234, 474, 220, 460, 203, 443)(141, 381, 192, 432, 222, 462, 215, 455, 157, 397, 204, 444)(148, 388, 210, 450, 167, 407, 214, 454, 224, 464, 211, 451)(171, 411, 217, 457, 201, 441, 228, 468, 216, 456, 218, 458)(212, 452, 231, 471, 239, 479, 240, 480, 235, 475, 227, 467)(229, 469, 237, 477, 232, 472, 238, 478, 233, 473, 236, 476)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 486)(3, 481)(4, 489)(5, 492)(6, 482)(7, 496)(8, 497)(9, 484)(10, 501)(11, 502)(12, 485)(13, 506)(14, 507)(15, 510)(16, 487)(17, 488)(18, 514)(19, 516)(20, 511)(21, 490)(22, 491)(23, 523)(24, 524)(25, 527)(26, 493)(27, 494)(28, 530)(29, 531)(30, 495)(31, 500)(32, 535)(33, 538)(34, 498)(35, 542)(36, 499)(37, 545)(38, 547)(39, 543)(40, 550)(41, 551)(42, 554)(43, 503)(44, 504)(45, 557)(46, 558)(47, 505)(48, 561)(49, 564)(50, 508)(51, 509)(52, 570)(53, 571)(54, 573)(55, 512)(56, 575)(57, 576)(58, 513)(59, 580)(60, 577)(61, 582)(62, 515)(63, 519)(64, 585)(65, 517)(66, 579)(67, 518)(68, 591)(69, 593)(70, 520)(71, 521)(72, 596)(73, 597)(74, 522)(75, 600)(76, 603)(77, 525)(78, 526)(79, 608)(80, 609)(81, 528)(82, 611)(83, 612)(84, 529)(85, 615)(86, 613)(87, 618)(88, 619)(89, 621)(90, 532)(91, 533)(92, 624)(93, 534)(94, 628)(95, 536)(96, 537)(97, 540)(98, 633)(99, 546)(100, 539)(101, 637)(102, 541)(103, 640)(104, 642)(105, 544)(106, 644)(107, 645)(108, 625)(109, 647)(110, 648)(111, 548)(112, 651)(113, 549)(114, 653)(115, 656)(116, 552)(117, 553)(118, 661)(119, 662)(120, 555)(121, 664)(122, 665)(123, 556)(124, 666)(125, 669)(126, 670)(127, 672)(128, 559)(129, 560)(130, 676)(131, 562)(132, 563)(133, 566)(134, 681)(135, 565)(136, 684)(137, 675)(138, 567)(139, 568)(140, 663)(141, 569)(142, 657)(143, 659)(144, 572)(145, 588)(146, 668)(147, 689)(148, 574)(149, 692)(150, 690)(151, 658)(152, 652)(153, 578)(154, 671)(155, 680)(156, 694)(157, 581)(158, 683)(159, 678)(160, 583)(161, 686)(162, 584)(163, 696)(164, 586)(165, 587)(166, 695)(167, 589)(168, 590)(169, 687)(170, 673)(171, 592)(172, 632)(173, 594)(174, 699)(175, 700)(176, 595)(177, 622)(178, 631)(179, 623)(180, 702)(181, 598)(182, 599)(183, 620)(184, 601)(185, 602)(186, 604)(187, 704)(188, 626)(189, 605)(190, 606)(191, 634)(192, 607)(193, 650)(194, 698)(195, 617)(196, 610)(197, 707)(198, 639)(199, 697)(200, 635)(201, 614)(202, 701)(203, 638)(204, 616)(205, 709)(206, 641)(207, 649)(208, 711)(209, 627)(210, 630)(211, 712)(212, 629)(213, 713)(214, 636)(215, 646)(216, 643)(217, 679)(218, 674)(219, 654)(220, 655)(221, 682)(222, 660)(223, 715)(224, 667)(225, 716)(226, 717)(227, 677)(228, 718)(229, 685)(230, 719)(231, 688)(232, 691)(233, 693)(234, 720)(235, 703)(236, 705)(237, 706)(238, 708)(239, 710)(240, 714)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.738
Graph:: simple bipartite
	v = 280 e = 480 f = 180
	degree seq :: [ 2^240, 12^40 ]

E11.742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y3 * Y2^-1)^4, (R * Y1 * Y2^2)^2, (Y2 * Y1)^4, Y1 * Y2^-2 * R * Y2^-2 * Y1 * Y2^2 * R * Y2^2, Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^3 * Y1 * Y2^2 * Y1 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 11, 251)(6, 246, 13, 253)(8, 248, 17, 257)(10, 250, 21, 261)(12, 252, 24, 264)(14, 254, 28, 268)(15, 255, 27, 267)(16, 256, 30, 270)(18, 258, 34, 274)(19, 259, 35, 275)(20, 260, 22, 262)(23, 263, 41, 281)(25, 265, 45, 285)(26, 266, 46, 286)(29, 269, 51, 291)(31, 271, 55, 295)(32, 272, 54, 294)(33, 273, 57, 297)(36, 276, 63, 303)(37, 277, 65, 305)(38, 278, 66, 306)(39, 279, 61, 301)(40, 280, 69, 309)(42, 282, 73, 313)(43, 283, 72, 312)(44, 284, 75, 315)(47, 287, 81, 321)(48, 288, 83, 323)(49, 289, 84, 324)(50, 290, 79, 319)(52, 292, 89, 329)(53, 293, 90, 330)(56, 296, 95, 335)(58, 298, 76, 316)(59, 299, 98, 338)(60, 300, 100, 340)(62, 302, 103, 343)(64, 304, 106, 346)(67, 307, 85, 325)(68, 308, 111, 351)(70, 310, 114, 354)(71, 311, 115, 355)(74, 314, 120, 360)(77, 317, 123, 363)(78, 318, 125, 365)(80, 320, 128, 368)(82, 322, 131, 371)(86, 326, 136, 376)(87, 327, 133, 373)(88, 328, 138, 378)(91, 331, 144, 384)(92, 332, 146, 386)(93, 333, 147, 387)(94, 334, 142, 382)(96, 336, 151, 391)(97, 337, 152, 392)(99, 339, 155, 395)(101, 341, 139, 379)(102, 342, 158, 398)(104, 344, 162, 402)(105, 345, 161, 401)(107, 347, 165, 405)(108, 348, 112, 352)(109, 349, 167, 407)(110, 350, 169, 409)(113, 353, 172, 412)(116, 356, 178, 418)(117, 357, 180, 420)(118, 358, 181, 421)(119, 359, 176, 416)(121, 361, 185, 425)(122, 362, 186, 426)(124, 364, 189, 429)(126, 366, 173, 413)(127, 367, 192, 432)(129, 369, 196, 436)(130, 370, 195, 435)(132, 372, 199, 439)(134, 374, 201, 441)(135, 375, 203, 443)(137, 377, 183, 423)(140, 380, 174, 414)(141, 381, 206, 446)(143, 383, 207, 447)(145, 385, 191, 431)(148, 388, 184, 424)(149, 389, 171, 411)(150, 390, 182, 422)(153, 393, 202, 442)(154, 394, 193, 433)(156, 396, 214, 454)(157, 397, 179, 419)(159, 399, 188, 428)(160, 400, 216, 456)(163, 403, 210, 450)(164, 404, 198, 438)(166, 406, 204, 444)(168, 408, 187, 427)(170, 410, 200, 440)(175, 415, 218, 458)(177, 417, 219, 459)(190, 430, 226, 466)(194, 434, 228, 468)(197, 437, 222, 462)(205, 445, 229, 469)(208, 448, 224, 464)(209, 449, 232, 472)(211, 451, 223, 463)(212, 452, 220, 460)(213, 453, 230, 470)(215, 455, 233, 473)(217, 457, 234, 474)(221, 461, 237, 477)(225, 465, 235, 475)(227, 467, 238, 478)(231, 471, 236, 476)(239, 479, 240, 480)(481, 721, 483, 723, 488, 728, 498, 738, 490, 730, 484, 724)(482, 722, 485, 725, 492, 732, 505, 745, 494, 734, 486, 726)(487, 727, 495, 735, 509, 749, 532, 772, 511, 751, 496, 736)(489, 729, 499, 739, 516, 756, 544, 784, 517, 757, 500, 740)(491, 731, 502, 742, 520, 760, 550, 790, 522, 762, 503, 743)(493, 733, 506, 746, 527, 767, 562, 802, 528, 768, 507, 747)(497, 737, 512, 752, 536, 776, 576, 816, 538, 778, 513, 753)(501, 741, 518, 758, 547, 787, 590, 830, 548, 788, 519, 759)(504, 744, 523, 763, 554, 794, 601, 841, 556, 796, 524, 764)(508, 748, 529, 769, 565, 805, 615, 855, 566, 806, 530, 770)(510, 750, 533, 773, 571, 811, 625, 865, 572, 812, 534, 774)(514, 754, 539, 779, 579, 819, 636, 876, 581, 821, 540, 780)(515, 755, 541, 781, 582, 822, 639, 879, 584, 824, 542, 782)(521, 761, 551, 791, 596, 836, 659, 899, 597, 837, 552, 792)(525, 765, 557, 797, 604, 844, 670, 910, 606, 846, 558, 798)(526, 766, 559, 799, 607, 847, 673, 913, 609, 849, 560, 800)(531, 771, 567, 807, 617, 857, 660, 900, 619, 859, 568, 808)(535, 775, 573, 813, 543, 783, 585, 825, 628, 868, 574, 814)(537, 777, 577, 817, 633, 873, 693, 933, 634, 874, 578, 818)(545, 785, 587, 827, 635, 875, 672, 912, 646, 886, 588, 828)(546, 786, 580, 820, 637, 877, 695, 935, 648, 888, 589, 829)(549, 789, 592, 832, 651, 891, 626, 866, 653, 893, 593, 833)(553, 793, 598, 838, 561, 801, 610, 850, 662, 902, 599, 839)(555, 795, 602, 842, 667, 907, 705, 945, 668, 908, 603, 843)(563, 803, 612, 852, 669, 909, 638, 878, 680, 920, 613, 853)(564, 804, 605, 845, 671, 911, 707, 947, 682, 922, 614, 854)(569, 809, 620, 860, 652, 892, 697, 937, 676, 916, 621, 861)(570, 810, 622, 862, 683, 923, 647, 887, 688, 928, 623, 863)(575, 815, 629, 869, 691, 931, 650, 890, 591, 831, 630, 870)(583, 823, 640, 880, 692, 932, 632, 872, 665, 905, 641, 881)(586, 826, 643, 883, 658, 898, 701, 941, 679, 919, 644, 884)(594, 834, 654, 894, 618, 858, 685, 925, 642, 882, 655, 895)(595, 835, 656, 896, 649, 889, 681, 921, 700, 940, 657, 897)(600, 840, 663, 903, 703, 943, 684, 924, 616, 856, 664, 904)(608, 848, 674, 914, 704, 944, 666, 906, 631, 871, 675, 915)(611, 851, 677, 917, 624, 864, 689, 929, 645, 885, 678, 918)(627, 867, 686, 926, 710, 950, 719, 959, 713, 953, 690, 930)(661, 901, 698, 938, 715, 955, 720, 960, 718, 958, 702, 942)(687, 927, 711, 951, 696, 936, 709, 949, 694, 934, 712, 952)(699, 939, 716, 956, 708, 948, 714, 954, 706, 946, 717, 957)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 491)(6, 493)(7, 483)(8, 497)(9, 484)(10, 501)(11, 485)(12, 504)(13, 486)(14, 508)(15, 507)(16, 510)(17, 488)(18, 514)(19, 515)(20, 502)(21, 490)(22, 500)(23, 521)(24, 492)(25, 525)(26, 526)(27, 495)(28, 494)(29, 531)(30, 496)(31, 535)(32, 534)(33, 537)(34, 498)(35, 499)(36, 543)(37, 545)(38, 546)(39, 541)(40, 549)(41, 503)(42, 553)(43, 552)(44, 555)(45, 505)(46, 506)(47, 561)(48, 563)(49, 564)(50, 559)(51, 509)(52, 569)(53, 570)(54, 512)(55, 511)(56, 575)(57, 513)(58, 556)(59, 578)(60, 580)(61, 519)(62, 583)(63, 516)(64, 586)(65, 517)(66, 518)(67, 565)(68, 591)(69, 520)(70, 594)(71, 595)(72, 523)(73, 522)(74, 600)(75, 524)(76, 538)(77, 603)(78, 605)(79, 530)(80, 608)(81, 527)(82, 611)(83, 528)(84, 529)(85, 547)(86, 616)(87, 613)(88, 618)(89, 532)(90, 533)(91, 624)(92, 626)(93, 627)(94, 622)(95, 536)(96, 631)(97, 632)(98, 539)(99, 635)(100, 540)(101, 619)(102, 638)(103, 542)(104, 642)(105, 641)(106, 544)(107, 645)(108, 592)(109, 647)(110, 649)(111, 548)(112, 588)(113, 652)(114, 550)(115, 551)(116, 658)(117, 660)(118, 661)(119, 656)(120, 554)(121, 665)(122, 666)(123, 557)(124, 669)(125, 558)(126, 653)(127, 672)(128, 560)(129, 676)(130, 675)(131, 562)(132, 679)(133, 567)(134, 681)(135, 683)(136, 566)(137, 663)(138, 568)(139, 581)(140, 654)(141, 686)(142, 574)(143, 687)(144, 571)(145, 671)(146, 572)(147, 573)(148, 664)(149, 651)(150, 662)(151, 576)(152, 577)(153, 682)(154, 673)(155, 579)(156, 694)(157, 659)(158, 582)(159, 668)(160, 696)(161, 585)(162, 584)(163, 690)(164, 678)(165, 587)(166, 684)(167, 589)(168, 667)(169, 590)(170, 680)(171, 629)(172, 593)(173, 606)(174, 620)(175, 698)(176, 599)(177, 699)(178, 596)(179, 637)(180, 597)(181, 598)(182, 630)(183, 617)(184, 628)(185, 601)(186, 602)(187, 648)(188, 639)(189, 604)(190, 706)(191, 625)(192, 607)(193, 634)(194, 708)(195, 610)(196, 609)(197, 702)(198, 644)(199, 612)(200, 650)(201, 614)(202, 633)(203, 615)(204, 646)(205, 709)(206, 621)(207, 623)(208, 704)(209, 712)(210, 643)(211, 703)(212, 700)(213, 710)(214, 636)(215, 713)(216, 640)(217, 714)(218, 655)(219, 657)(220, 692)(221, 717)(222, 677)(223, 691)(224, 688)(225, 715)(226, 670)(227, 718)(228, 674)(229, 685)(230, 693)(231, 716)(232, 689)(233, 695)(234, 697)(235, 705)(236, 711)(237, 701)(238, 707)(239, 720)(240, 719)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E11.743
Graph:: bipartite
	v = 160 e = 480 f = 300
	degree seq :: [ 4^120, 12^40 ]

E11.743 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y3^6, (R * Y2 * Y3^-1)^2, Y3^6, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^3 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^6, (Y3 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 241, 2, 242, 6, 246, 4, 244)(3, 243, 9, 249, 21, 261, 11, 251)(5, 245, 13, 253, 18, 258, 7, 247)(8, 248, 19, 259, 33, 273, 15, 255)(10, 250, 23, 263, 47, 287, 25, 265)(12, 252, 16, 256, 34, 274, 28, 268)(14, 254, 31, 271, 58, 298, 29, 269)(17, 257, 36, 276, 69, 309, 38, 278)(20, 260, 42, 282, 77, 317, 40, 280)(22, 262, 45, 285, 82, 322, 43, 283)(24, 264, 49, 289, 92, 332, 50, 290)(26, 266, 44, 284, 83, 323, 53, 293)(27, 267, 54, 294, 100, 340, 55, 295)(30, 270, 59, 299, 75, 315, 39, 279)(32, 272, 62, 302, 114, 354, 64, 304)(35, 275, 68, 308, 122, 362, 66, 306)(37, 277, 71, 311, 130, 370, 72, 312)(41, 281, 78, 318, 120, 360, 65, 305)(46, 286, 87, 327, 151, 391, 85, 325)(48, 288, 90, 330, 155, 395, 88, 328)(51, 291, 89, 329, 119, 359, 96, 336)(52, 292, 97, 337, 118, 358, 98, 338)(56, 296, 67, 307, 123, 363, 104, 344)(57, 297, 105, 345, 167, 407, 107, 347)(60, 300, 111, 351, 125, 365, 109, 349)(61, 301, 112, 352, 124, 364, 108, 348)(63, 303, 116, 356, 175, 415, 117, 357)(70, 310, 128, 368, 184, 424, 126, 366)(73, 313, 127, 367, 103, 343, 134, 374)(74, 314, 135, 375, 102, 342, 136, 376)(76, 316, 138, 378, 192, 432, 140, 380)(79, 319, 144, 384, 86, 326, 142, 382)(80, 320, 145, 385, 84, 324, 141, 381)(81, 321, 147, 387, 197, 437, 149, 389)(91, 331, 157, 397, 187, 427, 131, 371)(93, 333, 160, 400, 185, 425, 158, 398)(94, 334, 159, 399, 194, 434, 139, 379)(95, 335, 162, 402, 182, 422, 163, 403)(99, 339, 137, 377, 110, 350, 143, 383)(101, 341, 161, 401, 206, 446, 165, 405)(106, 346, 150, 390, 199, 439, 169, 409)(113, 353, 171, 411, 178, 418, 164, 404)(115, 355, 173, 413, 212, 452, 172, 412)(121, 361, 179, 419, 215, 455, 181, 421)(129, 369, 186, 426, 213, 453, 176, 416)(132, 372, 188, 428, 170, 410, 180, 420)(133, 373, 189, 429, 152, 392, 190, 430)(146, 386, 196, 436, 166, 406, 191, 431)(148, 388, 177, 417, 214, 454, 195, 435)(153, 393, 174, 414, 156, 396, 200, 440)(154, 394, 201, 441, 222, 462, 193, 433)(168, 408, 207, 447, 230, 470, 208, 448)(183, 423, 217, 457, 234, 474, 216, 456)(198, 438, 211, 451, 231, 471, 225, 465)(202, 442, 223, 463, 233, 473, 227, 467)(203, 443, 224, 464, 205, 445, 220, 460)(204, 444, 218, 458, 210, 450, 226, 466)(209, 449, 221, 461, 232, 472, 219, 459)(228, 468, 237, 477, 239, 479, 235, 475)(229, 469, 238, 478, 240, 480, 236, 476)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 487)(3, 490)(4, 492)(5, 481)(6, 495)(7, 497)(8, 482)(9, 484)(10, 504)(11, 506)(12, 507)(13, 509)(14, 485)(15, 512)(16, 486)(17, 517)(18, 519)(19, 520)(20, 488)(21, 523)(22, 489)(23, 491)(24, 494)(25, 531)(26, 532)(27, 526)(28, 536)(29, 537)(30, 493)(31, 530)(32, 543)(33, 545)(34, 546)(35, 496)(36, 498)(37, 500)(38, 553)(39, 554)(40, 556)(41, 499)(42, 552)(43, 561)(44, 501)(45, 565)(46, 502)(47, 568)(48, 503)(49, 505)(50, 574)(51, 575)(52, 571)(53, 579)(54, 508)(55, 582)(56, 583)(57, 586)(58, 588)(59, 589)(60, 510)(61, 511)(62, 513)(63, 515)(64, 598)(65, 599)(66, 601)(67, 514)(68, 597)(69, 606)(70, 516)(71, 518)(72, 612)(73, 613)(74, 609)(75, 617)(76, 619)(77, 621)(78, 622)(79, 521)(80, 522)(81, 628)(82, 624)(83, 625)(84, 524)(85, 630)(86, 525)(87, 535)(88, 634)(89, 527)(90, 611)(91, 528)(92, 638)(93, 529)(94, 620)(95, 641)(96, 600)(97, 533)(98, 594)(99, 603)(100, 645)(101, 534)(102, 646)(103, 640)(104, 623)(105, 538)(106, 540)(107, 632)(108, 650)(109, 642)(110, 539)(111, 649)(112, 644)(113, 541)(114, 652)(115, 542)(116, 544)(117, 657)(118, 658)(119, 654)(120, 590)(121, 660)(122, 591)(123, 592)(124, 547)(125, 548)(126, 663)(127, 549)(128, 656)(129, 550)(130, 667)(131, 551)(132, 661)(133, 570)(134, 584)(135, 555)(136, 580)(137, 563)(138, 557)(139, 559)(140, 593)(141, 675)(142, 669)(143, 558)(144, 674)(145, 671)(146, 560)(147, 562)(148, 564)(149, 662)(150, 587)(151, 680)(152, 566)(153, 567)(154, 682)(155, 670)(156, 569)(157, 578)(158, 684)(159, 572)(160, 581)(161, 573)(162, 576)(163, 677)(164, 577)(165, 687)(166, 653)(167, 688)(168, 585)(169, 690)(170, 689)(171, 672)(172, 691)(173, 633)(174, 595)(175, 693)(176, 596)(177, 629)(178, 608)(179, 602)(180, 604)(181, 626)(182, 605)(183, 698)(184, 651)(185, 607)(186, 616)(187, 700)(188, 610)(189, 614)(190, 647)(191, 615)(192, 702)(193, 618)(194, 704)(195, 703)(196, 695)(197, 705)(198, 627)(199, 631)(200, 707)(201, 635)(202, 636)(203, 637)(204, 709)(205, 639)(206, 643)(207, 699)(208, 708)(209, 648)(210, 696)(211, 683)(212, 676)(213, 712)(214, 655)(215, 714)(216, 659)(217, 664)(218, 665)(219, 666)(220, 716)(221, 668)(222, 715)(223, 673)(224, 678)(225, 717)(226, 679)(227, 718)(228, 681)(229, 685)(230, 686)(231, 692)(232, 720)(233, 694)(234, 719)(235, 697)(236, 701)(237, 710)(238, 706)(239, 711)(240, 713)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E11.742
Graph:: simple bipartite
	v = 300 e = 480 f = 160
	degree seq :: [ 2^240, 8^60 ]

## Checksum: 743 records.
## Written on: Wed Oct 16 01:27:47 CEST 2019