## Begin on: Tue Oct 15 13:55:48 CEST 2019

ENUMERATION
No. of records: 414

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 20 (16 non-degenerate)
2     [ E3b] : 58 (38 non-degenerate)
2*    [E3*b] : 58 (38 non-degenerate)
2ex   [E3*c] : 0
2*ex  [ E3c] : 0
2P    [  E2] : 9 (8 non-degenerate)
2Pex  [ E1a] : 2 (2 non-degenerate)
3     [ E5a] : 212 (82 non-degenerate)
4     [  E4] : 18 (9 non-degenerate)
4*    [ E4*] : 18 (9 non-degenerate)
4P    [  E6] : 8 (2 non-degenerate)
5     [ E3a] : 5 (3 non-degenerate)
5*    [E3*a] : 5 (3 non-degenerate)
5P    [ E5b] : 1 (0 non-degenerate)

E8.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C8 (small group id <8, 1>)
Aut   = D16 (small group id <16, 7>)
|r| :: 2
Presentation :: [ 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^8, (Z^-1 * A * B^-1 * A^-1 * B)^8 ]
Map::
	R = (1, 10, 18, 26, 2, 12, 20, 28, 4, 14, 22, 30, 6, 16, 24, 32, 8, 15, 23, 31, 7, 13, 21, 29, 5, 11, 19, 27, 3, 9, 17, 25)
	L = (1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 16 f = 1
	degree seq :: [ 32 ]

E8.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C8 (small group id <8, 1>)
Aut   = D16 (small group id <16, 7>)
|r| :: 2
Presentation :: [ S^2, A^2, B^-1 * A, (S * Z)^2, S * B * S * A, A * Z * A * Z^-1, A * Z^4 ]
Map::
	R = (1, 10, 18, 26, 2, 13, 21, 29, 5, 15, 23, 31, 7, 11, 19, 27, 3, 14, 22, 30, 6, 16, 24, 32, 8, 12, 20, 28, 4, 9, 17, 25)
	L = (1, 19)(2, 22)(3, 17)(4, 23)(5, 24)(6, 18)(7, 20)(8, 21)(9, 27)(10, 30)(11, 25)(12, 31)(13, 32)(14, 26)(15, 28)(16, 29)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 16 f = 1
	degree seq :: [ 32 ]

E8.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C8 (small group id <8, 1>)
Aut   = D16 (small group id <16, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^2 * A, (S * Z)^2, S * B * S * A, A^4, (B * Z)^8 ]
Map::
	R = (1, 10, 18, 26, 2, 13, 21, 29, 5, 14, 22, 30, 6, 15, 23, 31, 7, 16, 24, 32, 8, 11, 19, 27, 3, 12, 20, 28, 4, 9, 17, 25)
	L = (1, 19)(2, 20)(3, 23)(4, 24)(5, 17)(6, 18)(7, 21)(8, 22)(9, 29)(10, 30)(11, 25)(12, 26)(13, 31)(14, 32)(15, 27)(16, 28)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 16 f = 1
	degree seq :: [ 32 ]

E8.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C8 (small group id <8, 1>)
Aut   = D16 (small group id <16, 7>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^2 * A^-1, (S * Z)^2, A^4, S * A * S * B, (B^-1 * Z)^8 ]
Map::
	R = (1, 10, 18, 26, 2, 11, 19, 27, 3, 14, 22, 30, 6, 15, 23, 31, 7, 16, 24, 32, 8, 13, 21, 29, 5, 12, 20, 28, 4, 9, 17, 25)
	L = (1, 19)(2, 22)(3, 23)(4, 18)(5, 17)(6, 24)(7, 21)(8, 20)(9, 29)(10, 28)(11, 25)(12, 32)(13, 31)(14, 26)(15, 27)(16, 30)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 16 f = 1
	degree seq :: [ 32 ]

E8.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, S * B * S * A, (S * Z)^2, A * Z * A^-1 * Z, A^7 ]
Map::
	R = (1, 16, 30, 44, 2, 15, 29, 43)(3, 19, 33, 47, 5, 17, 31, 45)(4, 20, 34, 48, 6, 18, 32, 46)(7, 23, 37, 51, 9, 21, 35, 49)(8, 24, 38, 52, 10, 22, 36, 50)(11, 27, 41, 55, 13, 25, 39, 53)(12, 28, 42, 56, 14, 26, 40, 54)
	L = (1, 31)(2, 33)(3, 35)(4, 29)(5, 37)(6, 30)(7, 39)(8, 32)(9, 41)(10, 34)(11, 40)(12, 36)(13, 42)(14, 38)(15, 46)(16, 48)(17, 43)(18, 50)(19, 44)(20, 52)(21, 45)(22, 54)(23, 47)(24, 56)(25, 49)(26, 53)(27, 51)(28, 55)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 28 f = 7
	degree seq :: [ 8^7 ]

E8.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D14 (small group id <14, 1>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, S * B * S * A, (S * Z)^2, (A * Z)^7 ]
Map::
	R = (1, 16, 30, 44, 2, 15, 29, 43)(3, 19, 33, 47, 5, 17, 31, 45)(4, 20, 34, 48, 6, 18, 32, 46)(7, 23, 37, 51, 9, 21, 35, 49)(8, 24, 38, 52, 10, 22, 36, 50)(11, 27, 41, 55, 13, 25, 39, 53)(12, 28, 42, 56, 14, 26, 40, 54)
	L = (1, 31)(2, 32)(3, 29)(4, 30)(5, 35)(6, 36)(7, 33)(8, 34)(9, 39)(10, 40)(11, 37)(12, 38)(13, 42)(14, 41)(15, 45)(16, 46)(17, 43)(18, 44)(19, 49)(20, 50)(21, 47)(22, 48)(23, 53)(24, 54)(25, 51)(26, 52)(27, 56)(28, 55)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 28 f = 7
	degree seq :: [ 8^7 ]

E8.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D14 (small group id <14, 1>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * A * S * B, (S * Z)^2, B * Z * A^-1 * Z, A^4 * B^-3 ]
Map:: non-degenerate
	R = (1, 16, 30, 44, 2, 15, 29, 43)(3, 20, 34, 48, 6, 17, 31, 45)(4, 19, 33, 47, 5, 18, 32, 46)(7, 24, 38, 52, 10, 21, 35, 49)(8, 23, 37, 51, 9, 22, 36, 50)(11, 28, 42, 56, 14, 25, 39, 53)(12, 27, 41, 55, 13, 26, 40, 54)
	L = (1, 31)(2, 33)(3, 35)(4, 29)(5, 37)(6, 30)(7, 39)(8, 32)(9, 41)(10, 34)(11, 40)(12, 36)(13, 42)(14, 38)(15, 45)(16, 47)(17, 49)(18, 43)(19, 51)(20, 44)(21, 53)(22, 46)(23, 55)(24, 48)(25, 54)(26, 50)(27, 56)(28, 52)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 28 f = 7
	degree seq :: [ 8^7 ]

E8.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C14 (small group id <14, 2>)
Aut   = C14 x C2 (small group id <28, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, S * B * S * A, (S * Z)^2, B * Z * B^-1 * Z, A * Z * A^-1 * Z, A^4 * B^-3 ]
Map:: non-degenerate
	R = (1, 16, 30, 44, 2, 15, 29, 43)(3, 19, 33, 47, 5, 17, 31, 45)(4, 20, 34, 48, 6, 18, 32, 46)(7, 23, 37, 51, 9, 21, 35, 49)(8, 24, 38, 52, 10, 22, 36, 50)(11, 27, 41, 55, 13, 25, 39, 53)(12, 28, 42, 56, 14, 26, 40, 54)
	L = (1, 31)(2, 33)(3, 35)(4, 29)(5, 37)(6, 30)(7, 39)(8, 32)(9, 41)(10, 34)(11, 40)(12, 36)(13, 42)(14, 38)(15, 45)(16, 47)(17, 49)(18, 43)(19, 51)(20, 44)(21, 53)(22, 46)(23, 55)(24, 48)(25, 54)(26, 50)(27, 56)(28, 52)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 28 f = 7
	degree seq :: [ 8^7 ]

E8.9 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 (small group id <9, 1>)
Aut   = D18 (small group id <18, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y3)^2, Y1^4 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 10, 2, 11, 6, 15, 9, 18, 5, 14, 3, 12, 7, 16, 8, 17, 4, 13)(19, 28, 21, 30, 20, 29, 25, 34, 24, 33, 26, 35, 27, 36, 22, 31, 23, 32)
	L = (1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 24)(7, 25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 18 f = 2
	degree seq :: [ 18^2 ]

E8.10 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 (small group id <9, 1>)
Aut   = D18 (small group id <18, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^9, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 10, 2, 11, 6, 15, 8, 17, 3, 12, 5, 14, 7, 16, 9, 18, 4, 13)(19, 28, 21, 30, 22, 31, 26, 35, 27, 36, 24, 33, 25, 34, 20, 29, 23, 32)
	L = (1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 24)(7, 25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 18 f = 2
	degree seq :: [ 18^2 ]

E8.11 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 (small group id <9, 1>)
Aut   = D18 (small group id <18, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y2 * Y3^-1, Y1 * Y2^-2, Y1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y1^3 * Y3, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 10, 2, 11, 8, 17, 7, 16, 6, 15, 3, 12, 4, 13, 9, 18, 5, 14)(19, 28, 21, 30, 20, 29, 22, 31, 26, 35, 27, 36, 25, 34, 23, 32, 24, 33)
	L = (1, 22)(2, 27)(3, 26)(4, 25)(5, 21)(6, 20)(7, 19)(8, 23)(9, 24)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E8.12
Graph:: bipartite
	v = 2 e = 18 f = 2
	degree seq :: [ 18^2 ]

E8.12 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 (small group id <9, 1>)
Aut   = D18 (small group id <18, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y2 * Y3, Y1 * Y3 * Y2, Y1 * Y2^-2, (R * Y1)^2, Y1^3 * Y3^-1, (R * Y3)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 10, 2, 11, 8, 17, 4, 13, 6, 15, 3, 12, 7, 16, 9, 18, 5, 14)(19, 28, 21, 30, 20, 29, 25, 34, 26, 35, 27, 36, 22, 31, 23, 32, 24, 33)
	L = (1, 22)(2, 24)(3, 23)(4, 25)(5, 26)(6, 27)(7, 19)(8, 21)(9, 20)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E8.11
Graph:: bipartite
	v = 2 e = 18 f = 2
	degree seq :: [ 18^2 ]

E8.13 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-2, Y1^2 * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 6, 16, 3, 13, 5, 15)(4, 14, 7, 17, 10, 20, 8, 18, 9, 19)(21, 31, 23, 33, 22, 32, 25, 35, 26, 36)(24, 34, 28, 38, 27, 37, 29, 39, 30, 40)
	L = (1, 24)(2, 27)(3, 28)(4, 21)(5, 29)(6, 30)(7, 22)(8, 23)(9, 25)(10, 26)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E8.27
Graph:: bipartite
	v = 4 e = 20 f = 2
	degree seq :: [ 10^4 ]

E8.14 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^2 * Y1^-2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2^2 * Y1^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 11, 2, 12, 6, 16, 9, 19, 4, 14)(3, 13, 7, 17, 10, 20, 5, 15, 8, 18)(21, 31, 23, 33, 26, 36, 30, 40, 24, 34, 28, 38, 22, 32, 27, 37, 29, 39, 25, 35)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.15 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^-2 * Y1^-2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^-1 * Y2^4, Y1^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 11, 2, 12, 6, 16, 9, 19, 4, 14)(3, 13, 7, 17, 5, 15, 8, 18, 10, 20)(21, 31, 23, 33, 29, 39, 28, 38, 22, 32, 27, 37, 24, 34, 30, 40, 26, 36, 25, 35)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.16 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 11, 2, 12, 6, 16, 8, 18, 4, 14)(3, 13, 7, 17, 10, 20, 9, 19, 5, 15)(21, 31, 23, 33, 22, 32, 27, 37, 26, 36, 30, 40, 28, 38, 29, 39, 24, 34, 25, 35)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.17 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^2 * Y1, (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 11, 2, 12, 6, 16, 9, 19, 4, 14)(3, 13, 5, 15, 7, 17, 10, 20, 8, 18)(21, 31, 23, 33, 24, 34, 28, 38, 29, 39, 30, 40, 26, 36, 27, 37, 22, 32, 25, 35)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.18 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^-1 * Y2^-2 * Y1^-1, (Y3^-1, Y2^-1), (Y2^-1 * R)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y2^-2 * Y1^3, Y3^10, Y2^10 ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 6, 16, 9, 19, 4, 14)(3, 13, 7, 17, 5, 15, 8, 18, 10, 20)(21, 31, 23, 33, 29, 39, 28, 38, 22, 32, 27, 37, 24, 34, 30, 40, 26, 36, 25, 35)
	L = (1, 22)(2, 26)(3, 27)(4, 21)(5, 28)(6, 29)(7, 25)(8, 30)(9, 24)(10, 23)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.25
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.19 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y1 * Y3^2, Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1) ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 4, 14, 7, 17, 5, 15)(3, 13, 8, 18, 9, 19, 10, 20, 6, 16)(21, 31, 23, 33, 22, 32, 28, 38, 24, 34, 29, 39, 27, 37, 30, 40, 25, 35, 26, 36)
	L = (1, 24)(2, 27)(3, 29)(4, 25)(5, 22)(6, 28)(7, 21)(8, 30)(9, 26)(10, 23)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.26
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.20 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y1 * Y2^2, Y1 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 7, 17, 4, 14, 5, 15)(3, 13, 6, 16, 8, 18, 9, 19, 10, 20)(21, 31, 23, 33, 25, 35, 30, 40, 24, 34, 29, 39, 27, 37, 28, 38, 22, 32, 26, 36)
	L = (1, 24)(2, 25)(3, 29)(4, 22)(5, 27)(6, 30)(7, 21)(8, 23)(9, 26)(10, 28)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.24
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.21 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y1 * Y3^2, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 4, 14, 7, 17, 5, 15)(3, 13, 8, 18, 10, 20, 6, 16, 9, 19)(21, 31, 23, 33, 24, 34, 30, 40, 25, 35, 29, 39, 22, 32, 28, 38, 27, 37, 26, 36)
	L = (1, 24)(2, 27)(3, 30)(4, 25)(5, 22)(6, 23)(7, 21)(8, 26)(9, 28)(10, 29)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.23
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.22 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y1 * Y3^-2, Y2^2 * Y3^-1, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 7, 17, 4, 14, 5, 15)(3, 13, 8, 18, 6, 16, 9, 19, 10, 20)(21, 31, 23, 33, 24, 34, 29, 39, 22, 32, 28, 38, 25, 35, 30, 40, 27, 37, 26, 36)
	L = (1, 24)(2, 25)(3, 29)(4, 22)(5, 27)(6, 23)(7, 21)(8, 30)(9, 28)(10, 26)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.23 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^-1 * Y2^2, (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 6, 16, 8, 18, 4, 14)(3, 13, 7, 17, 10, 20, 9, 19, 5, 15)(21, 31, 23, 33, 22, 32, 27, 37, 26, 36, 30, 40, 28, 38, 29, 39, 24, 34, 25, 35)
	L = (1, 22)(2, 26)(3, 27)(4, 21)(5, 23)(6, 28)(7, 30)(8, 24)(9, 25)(10, 29)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.21
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.24 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y1 * Y3^-2, Y2^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 7, 17, 4, 14, 5, 15)(3, 13, 8, 18, 10, 20, 6, 16, 9, 19)(21, 31, 23, 33, 27, 37, 30, 40, 25, 35, 29, 39, 22, 32, 28, 38, 24, 34, 26, 36)
	L = (1, 24)(2, 25)(3, 26)(4, 22)(5, 27)(6, 28)(7, 21)(8, 29)(9, 30)(10, 23)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.20
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.25 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y1 * Y3^2, Y2^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^-1 * Y1 * Y2^-1, (Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 4, 14, 7, 17, 5, 15)(3, 13, 8, 18, 6, 16, 9, 19, 10, 20)(21, 31, 23, 33, 27, 37, 29, 39, 22, 32, 28, 38, 25, 35, 30, 40, 24, 34, 26, 36)
	L = (1, 24)(2, 27)(3, 26)(4, 25)(5, 22)(6, 30)(7, 21)(8, 29)(9, 23)(10, 28)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.18
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.26 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1 * Y2^2, (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 6, 16, 9, 19, 4, 14)(3, 13, 5, 15, 7, 17, 10, 20, 8, 18)(21, 31, 23, 33, 24, 34, 28, 38, 29, 39, 30, 40, 26, 36, 27, 37, 22, 32, 25, 35)
	L = (1, 22)(2, 26)(3, 25)(4, 21)(5, 27)(6, 29)(7, 30)(8, 23)(9, 24)(10, 28)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.19
Graph:: bipartite
	v = 3 e = 20 f = 3
	degree seq :: [ 10^2, 20 ]

E8.27 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 10, 10})
Quotient :: dipole
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1 * Y3 * Y1^-1, (Y2^-1, Y1^-1), Y1^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y2 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1, (R * Y2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 11, 2, 12, 7, 17, 6, 16, 10, 20, 4, 14, 9, 19, 3, 13, 8, 18, 5, 15)(21, 31, 23, 33, 30, 40, 22, 32, 28, 38, 24, 34, 27, 37, 25, 35, 29, 39, 26, 36)
	L = (1, 24)(2, 29)(3, 27)(4, 21)(5, 30)(6, 28)(7, 23)(8, 26)(9, 22)(10, 25)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E8.13
Graph:: bipartite
	v = 2 e = 20 f = 4
	degree seq :: [ 20^2 ]

E8.28 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 6, 6})
Quotient :: edge^2
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = C4 x S3 (small group id <24, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^-1 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, R * Y2 * R * Y1, Y2^4, Y1^4, Y3^-1 * Y1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 13, 4, 16, 11, 23, 6, 18, 12, 24, 5, 17)(2, 14, 7, 19, 10, 22, 3, 15, 9, 21, 8, 20)(25, 26, 30, 27)(28, 32, 36, 34)(29, 31, 35, 33)(37, 39, 42, 38)(40, 46, 48, 44)(41, 45, 47, 43)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 24^4 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E8.30
Graph:: bipartite
	v = 8 e = 24 f = 2
	degree seq :: [ 4^6, 12^2 ]

E8.29 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 6, 6})
Quotient :: edge^2
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = (C6 x C2) : C2 (small group id <24, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y2^2 * Y3^-1, Y1 * Y3 * Y2 * Y3 * Y2^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 13, 4, 16, 12, 24, 5, 17)(2, 14, 7, 19, 9, 21, 8, 20)(3, 15, 10, 22, 6, 18, 11, 23)(25, 26, 30, 36, 33, 27)(28, 34, 32, 29, 35, 31)(37, 39, 45, 48, 42, 38)(40, 43, 47, 41, 44, 46)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 16^6 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E8.31
Graph:: bipartite
	v = 7 e = 24 f = 3
	degree seq :: [ 6^4, 8^3 ]

E8.30 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 6, 6})
Quotient :: loop^2
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = C4 x S3 (small group id <24, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^-1 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, R * Y2 * R * Y1, Y2^4, Y1^4, Y3^-1 * Y1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 13, 25, 37, 4, 16, 28, 40, 11, 23, 35, 47, 6, 18, 30, 42, 12, 24, 36, 48, 5, 17, 29, 41)(2, 14, 26, 38, 7, 19, 31, 43, 10, 22, 34, 46, 3, 15, 27, 39, 9, 21, 33, 45, 8, 20, 32, 44)
	L = (1, 14)(2, 18)(3, 13)(4, 20)(5, 19)(6, 15)(7, 23)(8, 24)(9, 17)(10, 16)(11, 21)(12, 22)(25, 39)(26, 37)(27, 42)(28, 46)(29, 45)(30, 38)(31, 41)(32, 40)(33, 47)(34, 48)(35, 43)(36, 44)
	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 ) }
Outer automorphisms :: reflexible
Dual of E8.28
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 24 f = 8
	degree seq :: [ 24^2 ]

E8.31 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 6, 6})
Quotient :: loop^2
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = (C6 x C2) : C2 (small group id <24, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y2^2 * Y3^-1, Y1 * Y3 * Y2 * Y3 * Y2^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 13, 25, 37, 4, 16, 28, 40, 12, 24, 36, 48, 5, 17, 29, 41)(2, 14, 26, 38, 7, 19, 31, 43, 9, 21, 33, 45, 8, 20, 32, 44)(3, 15, 27, 39, 10, 22, 34, 46, 6, 18, 30, 42, 11, 23, 35, 47)
	L = (1, 14)(2, 18)(3, 13)(4, 22)(5, 23)(6, 24)(7, 16)(8, 17)(9, 15)(10, 20)(11, 19)(12, 21)(25, 39)(26, 37)(27, 45)(28, 43)(29, 44)(30, 38)(31, 47)(32, 46)(33, 48)(34, 40)(35, 41)(36, 42)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.29
Transitivity :: VT+
Graph::
	v = 3 e = 24 f = 7
	degree seq :: [ 16^3 ]

E8.32 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 6})
Quotient :: dipole
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = (C6 x C2) : C2 (small group id <24, 8>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, Y1^-2 * Y2^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 13, 2, 14, 6, 18, 4, 16)(3, 15, 8, 20, 12, 24, 10, 22)(5, 17, 7, 19, 9, 21, 11, 23)(25, 37, 27, 39, 33, 45, 30, 42, 36, 48, 29, 41)(26, 38, 31, 43, 34, 46, 28, 40, 35, 47, 32, 44)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 24 f = 5
	degree seq :: [ 8^3, 12^2 ]

E8.33 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 6})
Quotient :: dipole
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = (C6 x C2) : C2 (small group id <24, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3^3, Y1^-1 * Y2 * Y1^-1 * Y3^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y2)^2, Y1^4, (R * Y3)^2, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 8, 20, 5, 17)(3, 15, 11, 23, 7, 19, 10, 22)(4, 16, 12, 24, 6, 18, 9, 21)(25, 37, 27, 39, 28, 40, 32, 44, 31, 43, 30, 42)(26, 38, 33, 45, 34, 46, 29, 41, 36, 48, 35, 47)
	L = (1, 28)(2, 34)(3, 32)(4, 31)(5, 35)(6, 27)(7, 25)(8, 30)(9, 29)(10, 36)(11, 33)(12, 26)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 24 f = 5
	degree seq :: [ 8^3, 12^2 ]

E8.34 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 6})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y2^-1, Y1^-1), Y2^-3 * Y1^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 13, 2, 14, 6, 18, 4, 16)(3, 15, 7, 19, 12, 24, 10, 22)(5, 17, 8, 20, 9, 21, 11, 23)(25, 37, 27, 39, 33, 45, 30, 42, 36, 48, 29, 41)(26, 38, 31, 43, 35, 47, 28, 40, 34, 46, 32, 44)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 24 f = 5
	degree seq :: [ 8^3, 12^2 ]

E8.35 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C2 (small group id <12, 5>)
Aut   = C2 x C2 x S3 (small group id <24, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y1 * Y2^-2, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 5, 17)(3, 15, 7, 19, 6, 18)(4, 16, 8, 20, 10, 22)(9, 21, 12, 24, 11, 23)(25, 37, 27, 39, 26, 38, 31, 43, 29, 41, 30, 42)(28, 40, 33, 45, 32, 44, 36, 48, 34, 46, 35, 47)
	L = (1, 28)(2, 32)(3, 33)(4, 25)(5, 34)(6, 35)(7, 36)(8, 26)(9, 27)(10, 29)(11, 30)(12, 31)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E8.36
Graph:: bipartite
	v = 6 e = 24 f = 4
	degree seq :: [ 6^4, 12^2 ]

E8.36 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C2 (small group id <12, 5>)
Aut   = C2 x C2 x S3 (small group id <24, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2^-1, Y1^-1 * Y2^-2 * Y1^-1, Y1^-3 * Y3, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 7, 19, 4, 16, 9, 21, 5, 17)(3, 15, 8, 20, 6, 18, 10, 22, 12, 24, 11, 23)(25, 37, 27, 39, 33, 45, 36, 48, 31, 43, 30, 42)(26, 38, 32, 44, 29, 41, 35, 47, 28, 40, 34, 46)
	L = (1, 28)(2, 33)(3, 34)(4, 25)(5, 31)(6, 35)(7, 29)(8, 36)(9, 26)(10, 27)(11, 30)(12, 32)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.35
Graph:: bipartite
	v = 4 e = 24 f = 6
	degree seq :: [ 12^4 ]

E8.37 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^3 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 5, 17)(3, 15, 8, 20, 7, 19)(4, 16, 9, 21, 6, 18)(10, 22, 12, 24, 11, 23)(25, 37, 27, 39, 34, 46, 30, 42)(26, 38, 32, 44, 36, 48, 28, 40)(29, 41, 31, 43, 35, 47, 33, 45)
	L = (1, 28)(2, 33)(3, 26)(4, 35)(5, 30)(6, 36)(7, 25)(8, 29)(9, 34)(10, 32)(11, 27)(12, 31)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.40
Graph:: bipartite
	v = 7 e = 24 f = 3
	degree seq :: [ 6^4, 8^3 ]

E8.38 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y3^-1, Y1 * Y3^-1 * Y2^-1, Y2 * Y3^-2, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 8, 20, 5, 17)(3, 15, 9, 21, 12, 24, 7, 19)(4, 16, 10, 22, 11, 23, 6, 18)(25, 37, 27, 39, 34, 46, 32, 44, 36, 48, 30, 42)(26, 38, 33, 45, 35, 47, 29, 41, 31, 43, 28, 40)
	L = (1, 28)(2, 34)(3, 26)(4, 27)(5, 30)(6, 31)(7, 25)(8, 35)(9, 32)(10, 33)(11, 36)(12, 29)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.39
Graph:: bipartite
	v = 5 e = 24 f = 5
	degree seq :: [ 8^3, 12^2 ]

E8.39 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y2^3, Y2 * Y3 * Y2^-1 * Y1^-1, (Y2^-1 * R)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, Y1^3 * Y2^-1 * Y3, (Y2^-1 * Y1)^4, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 6, 18, 9, 21, 3, 15, 7, 19, 12, 24, 11, 23, 5, 17, 8, 20, 10, 22, 4, 16)(25, 37, 27, 39, 29, 41)(26, 38, 31, 43, 32, 44)(28, 40, 33, 45, 35, 47)(30, 42, 36, 48, 34, 46)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 33)(7, 36)(8, 34)(9, 27)(10, 28)(11, 29)(12, 35)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.38
Graph:: bipartite
	v = 5 e = 24 f = 5
	degree seq :: [ 6^4, 24 ]

E8.40 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y1 * Y3^-2, (Y3, Y2^-1), Y3 * Y2^-1 * Y1^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 8, 20, 11, 23, 12, 24, 5, 17)(3, 15, 6, 18, 10, 22, 7, 19, 4, 16, 9, 21)(25, 37, 27, 39, 29, 41, 33, 45, 36, 48, 28, 40, 35, 47, 31, 43, 32, 44, 34, 46, 26, 38, 30, 42)
	L = (1, 28)(2, 33)(3, 35)(4, 26)(5, 31)(6, 36)(7, 25)(8, 27)(9, 32)(10, 29)(11, 30)(12, 34)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.37
Graph:: bipartite
	v = 3 e = 24 f = 7
	degree seq :: [ 12^2, 24 ]

E8.41 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y1 * Y2, Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^-1 * Y3 * Y1^-1, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 5, 17)(3, 15, 6, 18, 9, 21)(4, 16, 8, 20, 11, 23)(7, 19, 10, 22, 12, 24)(25, 37, 27, 39, 29, 41, 33, 45, 26, 38, 30, 42)(28, 40, 31, 43, 35, 47, 36, 48, 32, 44, 34, 46)
	L = (1, 28)(2, 32)(3, 31)(4, 30)(5, 35)(6, 34)(7, 25)(8, 33)(9, 36)(10, 26)(11, 27)(12, 29)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.42
Graph:: bipartite
	v = 6 e = 24 f = 4
	degree seq :: [ 6^4, 12^2 ]

E8.42 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2 * Y1 * Y2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2, (R * Y1)^2, Y3 * Y2^-2 * Y1^-1, R * Y2 * R * Y3^-1, Y1^4, (Y1 * Y3)^3, Y1^-1 * Y2^9 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 6, 18, 5, 17)(3, 15, 7, 19, 11, 23, 10, 22)(4, 16, 8, 20, 12, 24, 9, 21)(25, 37, 27, 39, 33, 45, 29, 41, 34, 46, 36, 48, 30, 42, 35, 47, 32, 44, 26, 38, 31, 43, 28, 40)
	L = (1, 28)(2, 32)(3, 25)(4, 31)(5, 33)(6, 36)(7, 26)(8, 35)(9, 27)(10, 29)(11, 30)(12, 34)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.41
Graph:: bipartite
	v = 4 e = 24 f = 6
	degree seq :: [ 8^3, 24 ]

E8.43 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y1^-1 * Y2^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 13, 2, 14, 4, 16)(3, 15, 6, 18, 9, 21)(5, 17, 7, 19, 10, 22)(8, 20, 12, 24, 11, 23)(25, 37, 27, 39, 32, 44, 31, 43, 26, 38, 30, 42, 36, 48, 34, 46, 28, 40, 33, 45, 35, 47, 29, 41)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 24 f = 5
	degree seq :: [ 6^4, 24 ]

E8.44 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, Y1 * Y2^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 13, 2, 14, 4, 16)(3, 15, 6, 18, 9, 21)(5, 17, 7, 19, 10, 22)(8, 20, 11, 23, 12, 24)(25, 37, 27, 39, 32, 44, 34, 46, 28, 40, 33, 45, 36, 48, 31, 43, 26, 38, 30, 42, 35, 47, 29, 41)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 24 f = 5
	degree seq :: [ 6^4, 24 ]

E8.45 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^3, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, (Y1, Y2^-1), Y1 * Y2^4, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 4, 16)(3, 15, 6, 18, 9, 21)(5, 17, 7, 19, 10, 22)(8, 20, 11, 23, 12, 24)(25, 37, 27, 39, 32, 44, 34, 46, 28, 40, 33, 45, 36, 48, 31, 43, 26, 38, 30, 42, 35, 47, 29, 41)
	L = (1, 26)(2, 28)(3, 30)(4, 25)(5, 31)(6, 33)(7, 34)(8, 35)(9, 27)(10, 29)(11, 36)(12, 32)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 24 f = 5
	degree seq :: [ 6^4, 24 ]

E8.46 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y3^-1, Y1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 4, 16, 8, 20, 7, 19, 5, 17)(3, 15, 6, 18, 9, 21, 12, 24, 11, 23, 10, 22)(25, 37, 27, 39, 29, 41, 34, 46, 31, 43, 35, 47, 32, 44, 36, 48, 28, 40, 33, 45, 26, 38, 30, 42)
	L = (1, 28)(2, 32)(3, 33)(4, 31)(5, 26)(6, 36)(7, 25)(8, 29)(9, 35)(10, 30)(11, 27)(12, 34)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.47
Graph:: bipartite
	v = 3 e = 24 f = 7
	degree seq :: [ 12^2, 24 ]

E8.47 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, Y2 * Y1^-1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1, Y1^-2 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y3^-1 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 7, 19, 12, 24, 4, 16, 9, 21, 3, 15, 8, 20, 6, 18, 10, 22, 11, 23, 5, 17)(25, 37, 27, 39)(26, 38, 32, 44)(28, 40, 35, 47)(29, 41, 33, 45)(30, 42, 31, 43)(34, 46, 36, 48)
	L = (1, 28)(2, 33)(3, 35)(4, 30)(5, 36)(6, 25)(7, 27)(8, 29)(9, 34)(10, 26)(11, 31)(12, 32)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.46
Graph:: bipartite
	v = 7 e = 24 f = 3
	degree seq :: [ 4^6, 24 ]

E8.48 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 5, 5})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^5 ]
Map::
	R = (1, 16, 2, 17, 4, 19)(3, 18, 6, 21, 9, 24)(5, 20, 7, 22, 10, 25)(8, 23, 12, 27, 14, 29)(11, 26, 13, 28, 15, 30)(31, 46, 33, 48, 38, 53, 41, 56, 35, 50)(32, 47, 36, 51, 42, 57, 43, 58, 37, 52)(34, 49, 39, 54, 44, 59, 45, 60, 40, 55)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 6, 10, 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 30 f = 8
	degree seq :: [ 6^5, 10^3 ]

E8.49 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y1 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y3^-4 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 5, 21)(4, 20, 7, 23)(6, 22, 8, 24)(9, 25, 13, 29)(10, 26, 12, 28)(11, 27, 14, 30)(15, 31, 16, 32)(33, 49, 35, 51, 34, 50, 37, 53)(36, 52, 42, 58, 39, 55, 44, 60)(38, 54, 41, 57, 40, 56, 45, 61)(43, 59, 48, 64, 46, 62, 47, 63)
	L = (1, 36)(2, 39)(3, 41)(4, 43)(5, 45)(6, 33)(7, 46)(8, 34)(9, 47)(10, 35)(11, 40)(12, 37)(13, 48)(14, 38)(15, 44)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.56
Graph:: bipartite
	v = 12 e = 32 f = 6
	degree seq :: [ 4^8, 8^4 ]

E8.50 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 8})
Quotient :: dipole
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, R * Y2 * R * Y2^-1, Y3^2 * Y2^-2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 9, 25)(4, 20, 14, 30)(5, 21, 7, 23)(6, 22, 15, 31)(8, 24, 12, 28)(10, 26, 13, 29)(11, 27, 16, 32)(33, 49, 35, 51, 43, 59, 37, 53)(34, 50, 39, 55, 48, 64, 41, 57)(36, 52, 45, 61, 38, 54, 44, 60)(40, 56, 47, 63, 42, 58, 46, 62)
	L = (1, 36)(2, 40)(3, 44)(4, 43)(5, 45)(6, 33)(7, 46)(8, 48)(9, 47)(10, 34)(11, 38)(12, 37)(13, 35)(14, 41)(15, 39)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.58
Graph:: simple bipartite
	v = 12 e = 32 f = 6
	degree seq :: [ 4^8, 8^4 ]

E8.51 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 8})
Quotient :: dipole
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, R * Y2 * R * Y2^-1, Y3^2 * Y2^-2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 9, 25)(4, 20, 14, 30)(5, 21, 7, 23)(6, 22, 15, 31)(8, 24, 13, 29)(10, 26, 12, 28)(11, 27, 16, 32)(33, 49, 35, 51, 43, 59, 37, 53)(34, 50, 39, 55, 48, 64, 41, 57)(36, 52, 45, 61, 38, 54, 44, 60)(40, 56, 46, 62, 42, 58, 47, 63)
	L = (1, 36)(2, 40)(3, 44)(4, 43)(5, 45)(6, 33)(7, 47)(8, 48)(9, 46)(10, 34)(11, 38)(12, 37)(13, 35)(14, 39)(15, 41)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.57
Graph:: simple bipartite
	v = 12 e = 32 f = 6
	degree seq :: [ 4^8, 8^4 ]

E8.52 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 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 * Y2 * Y3, Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^2 * Y2^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, Y1^2 * Y2^-2, (Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 11, 27, 6, 22, 9, 25)(4, 20, 14, 30, 13, 29, 12, 28)(7, 23, 16, 32, 15, 31, 10, 26)(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, 48, 64, 46, 62)
	L = (1, 36)(2, 42)(3, 39)(4, 38)(5, 48)(6, 47)(7, 33)(8, 45)(9, 44)(10, 43)(11, 46)(12, 34)(13, 35)(14, 37)(15, 40)(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 ) }
Outer automorphisms :: reflexible
Dual of E8.55
Graph:: bipartite
	v = 8 e = 32 f = 10
	degree seq :: [ 8^8 ]

E8.53 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 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^-1 * Y3^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-2 * Y1^-2, Y2^4, Y1^2 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 11, 27, 6, 22, 9, 25)(4, 20, 14, 30, 16, 32, 12, 28)(7, 23, 15, 31, 13, 29, 10, 26)(33, 49, 35, 51, 40, 56, 38, 54)(34, 50, 41, 57, 37, 53, 43, 59)(36, 52, 45, 61, 48, 64, 39, 55)(42, 58, 46, 62, 47, 63, 44, 60)
	L = (1, 36)(2, 42)(3, 45)(4, 35)(5, 47)(6, 39)(7, 33)(8, 48)(9, 46)(10, 41)(11, 44)(12, 34)(13, 40)(14, 37)(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) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.54
Graph:: bipartite
	v = 8 e = 32 f = 10
	degree seq :: [ 8^8 ]

E8.54 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 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, Y3^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y1^-2, Y3 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3)^2, (Y2 * Y1)^4, Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 12, 28, 16, 32, 15, 31, 11, 27, 5, 21)(3, 19, 9, 25, 4, 20, 7, 23, 14, 30, 8, 24, 13, 29, 10, 26)(33, 49, 35, 51)(34, 50, 39, 55)(36, 52, 43, 59)(37, 53, 40, 56)(38, 54, 45, 61)(41, 57, 44, 60)(42, 58, 47, 63)(46, 62, 48, 64)
	L = (1, 36)(2, 40)(3, 38)(4, 33)(5, 42)(6, 35)(7, 44)(8, 34)(9, 47)(10, 37)(11, 46)(12, 39)(13, 48)(14, 43)(15, 41)(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) :: { ( 8^4 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E8.53
Graph:: bipartite
	v = 10 e = 32 f = 8
	degree seq :: [ 4^8, 16^2 ]

E8.55 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 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, Y3^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y3 * Y1^-1, Y3 * Y1^2 * Y2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 12, 28, 16, 32, 15, 31, 9, 25, 5, 21)(3, 19, 8, 24, 14, 30, 7, 23, 13, 29, 11, 27, 4, 20, 10, 26)(33, 49, 35, 51)(34, 50, 39, 55)(36, 52, 38, 54)(37, 53, 43, 59)(40, 56, 44, 60)(41, 57, 46, 62)(42, 58, 47, 63)(45, 61, 48, 64)
	L = (1, 36)(2, 40)(3, 41)(4, 33)(5, 39)(6, 45)(7, 37)(8, 34)(9, 35)(10, 44)(11, 47)(12, 42)(13, 38)(14, 48)(15, 43)(16, 46)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8^4 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E8.52
Graph:: bipartite
	v = 10 e = 32 f = 8
	degree seq :: [ 4^8, 16^2 ]

E8.56 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y2^-1 * Y3)^2, Y1^-2 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3 * Y1^2 * Y2^-1, Y1 * Y3^-1 * Y2 * Y1, Y2^-2 * Y3^-1 * Y2^-1, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 11, 27, 4, 20, 12, 28)(6, 22, 9, 25, 7, 23, 10, 26)(13, 29, 16, 32, 14, 30, 15, 31)(33, 49, 35, 51, 45, 61, 39, 55, 40, 56, 36, 52, 46, 62, 38, 54)(34, 50, 41, 57, 47, 63, 44, 60, 37, 53, 42, 58, 48, 64, 43, 59)
	L = (1, 36)(2, 42)(3, 46)(4, 45)(5, 41)(6, 40)(7, 33)(8, 35)(9, 48)(10, 47)(11, 37)(12, 34)(13, 38)(14, 39)(15, 43)(16, 44)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 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 E8.49
Graph:: bipartite
	v = 6 e = 32 f = 12
	degree seq :: [ 8^4, 16^2 ]

E8.57 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 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^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2^-1, (R * Y1)^2, Y2^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^4, (Y3 * Y2^-1)^2, (Y2 * Y1^-1)^2, Y3^2 * Y2^4, (R * Y2 * Y3^-1)^2 ]
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, 14, 30, 16, 32, 9, 25)(33, 49, 35, 51, 42, 58, 48, 64, 40, 56, 47, 63, 44, 60, 38, 54)(34, 50, 41, 57, 39, 55, 45, 61, 37, 53, 46, 62, 36, 52, 43, 59)
	L = (1, 36)(2, 42)(3, 41)(4, 40)(5, 44)(6, 45)(7, 33)(8, 39)(9, 47)(10, 37)(11, 38)(12, 34)(13, 48)(14, 35)(15, 46)(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) :: { ( 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 E8.51
Graph:: bipartite
	v = 6 e = 32 f = 12
	degree seq :: [ 8^4, 16^2 ]

E8.58 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 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^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2^-2 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y2^2 * Y1 * Y3, Y3^2 * Y1^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y2 * Y1^-1 * Y2^-1, Y1^4, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2 ]
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, 14, 30, 16, 32, 9, 25)(33, 49, 35, 51, 44, 60, 48, 64, 40, 56, 47, 63, 42, 58, 38, 54)(34, 50, 41, 57, 36, 52, 45, 61, 37, 53, 46, 62, 39, 55, 43, 59)
	L = (1, 36)(2, 42)(3, 46)(4, 40)(5, 44)(6, 43)(7, 33)(8, 39)(9, 35)(10, 37)(11, 48)(12, 34)(13, 38)(14, 47)(15, 41)(16, 45)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 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 E8.50
Graph:: bipartite
	v = 6 e = 32 f = 12
	degree seq :: [ 8^4, 16^2 ]

E8.59 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ 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, Y2^8 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 17, 2, 18)(3, 19, 5, 21)(4, 20, 6, 22)(7, 23, 9, 25)(8, 24, 10, 26)(11, 27, 13, 29)(12, 28, 14, 30)(15, 31, 16, 32)(33, 49, 35, 51, 39, 55, 43, 59, 47, 63, 46, 62, 42, 58, 38, 54, 34, 50, 37, 53, 41, 57, 45, 61, 48, 64, 44, 60, 40, 56, 36, 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) :: { ( 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 selfdual
Graph:: bipartite
	v = 9 e = 32 f = 9
	degree seq :: [ 4^8, 32 ]

E8.60 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 17, 17})
Quotient :: edge
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^8, (T2^-1 * T1^-1)^17 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 16, 12, 8, 4, 2, 6, 10, 14, 17, 13, 9, 5)(18, 19, 20, 23, 24, 27, 28, 31, 32, 34, 33, 30, 29, 26, 25, 22, 21)
	L = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)
	local type(s) :: { ( 34^17 ) }
Outer automorphisms :: reflexible
Dual of E8.70
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 17 f = 1
	degree seq :: [ 17^2 ]

E8.61 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 17, 17})
Quotient :: edge
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T1)^2, (F * T2)^2, T2^-8 * T1 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 14, 10, 6, 2, 4, 8, 12, 16, 17, 13, 9, 5)(18, 19, 22, 23, 26, 27, 30, 31, 34, 32, 33, 28, 29, 24, 25, 20, 21)
	L = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)
	local type(s) :: { ( 34^17 ) }
Outer automorphisms :: reflexible
Dual of E8.67
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 17 f = 1
	degree seq :: [ 17^2 ]

E8.62 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 17, 17})
Quotient :: edge
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2^5, (T1^-1 * T2^-1)^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 14, 8, 2, 7, 13, 16, 10, 4, 6, 12, 17, 11, 5)(18, 19, 23, 20, 24, 29, 26, 30, 34, 32, 33, 28, 31, 27, 22, 25, 21)
	L = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)
	local type(s) :: { ( 34^17 ) }
Outer automorphisms :: reflexible
Dual of E8.72
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 17 f = 1
	degree seq :: [ 17^2 ]

E8.63 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 17, 17})
Quotient :: edge
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-1 * T1^-1, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-5 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 12, 6, 4, 10, 16, 14, 8, 2, 7, 13, 17, 11, 5)(18, 19, 23, 22, 25, 29, 28, 31, 32, 34, 33, 26, 30, 27, 20, 24, 21)
	L = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)
	local type(s) :: { ( 34^17 ) }
Outer automorphisms :: reflexible
Dual of E8.68
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 17 f = 1
	degree seq :: [ 17^2 ]

E8.64 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 17, 17})
Quotient :: edge
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^2 * T1 * T2^2, T1^2 * T2^-1 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 12, 4, 10, 16, 17, 11, 6, 14, 15, 8, 2, 7, 13, 5)(18, 19, 23, 27, 20, 24, 31, 33, 26, 30, 32, 34, 29, 22, 25, 28, 21)
	L = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)
	local type(s) :: { ( 34^17 ) }
Outer automorphisms :: reflexible
Dual of E8.69
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 17 f = 1
	degree seq :: [ 17^2 ]

E8.65 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 17, 17})
Quotient :: edge
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2 * T1 * T2^2, T2 * T1^-5, T1^-1 * T2^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 14, 16, 8, 2, 7, 12, 4, 10, 17, 15, 6, 13, 5)(18, 19, 23, 31, 27, 20, 24, 30, 33, 34, 26, 29, 22, 25, 32, 28, 21)
	L = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)
	local type(s) :: { ( 34^17 ) }
Outer automorphisms :: reflexible
Dual of E8.73
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 17 f = 1
	degree seq :: [ 17^2 ]

E8.66 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {17, 17, 17})
Quotient :: edge
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-1 * T1 * T2^-2 * T1, T1^-1 * T2^-1 * T1^-4, T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 17, 12, 4, 10, 8, 2, 7, 16, 14, 11, 13, 5)(18, 19, 23, 31, 29, 22, 25, 26, 33, 34, 30, 27, 20, 24, 32, 28, 21)
	L = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)
	local type(s) :: { ( 34^17 ) }
Outer automorphisms :: reflexible
Dual of E8.71
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 17 f = 1
	degree seq :: [ 17^2 ]

E8.67 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 17, 17})
Quotient :: loop
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1, (F * T1)^2, (F * T2)^2, T2^17, T1^17, (T2^-1 * T1^-1)^17 ]
Map:: non-degenerate
	R = (1, 18, 2, 19, 4, 21, 6, 23, 8, 25, 10, 27, 12, 29, 14, 31, 16, 33, 17, 34, 15, 32, 13, 30, 11, 28, 9, 26, 7, 24, 5, 22, 3, 20)
	L = (1, 19)(2, 21)(3, 18)(4, 23)(5, 20)(6, 25)(7, 22)(8, 27)(9, 24)(10, 29)(11, 26)(12, 31)(13, 28)(14, 33)(15, 30)(16, 34)(17, 32)
	local type(s) :: { ( 17^34 ) }
Outer automorphisms :: reflexible
Dual of E8.61
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 17 f = 2
	degree seq :: [ 34 ]

E8.68 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 17, 17})
Quotient :: loop
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^8, (T2^-1 * T1^-1)^17 ]
Map:: non-degenerate
	R = (1, 18, 3, 20, 7, 24, 11, 28, 15, 32, 16, 33, 12, 29, 8, 25, 4, 21, 2, 19, 6, 23, 10, 27, 14, 31, 17, 34, 13, 30, 9, 26, 5, 22)
	L = (1, 19)(2, 20)(3, 23)(4, 18)(5, 21)(6, 24)(7, 27)(8, 22)(9, 25)(10, 28)(11, 31)(12, 26)(13, 29)(14, 32)(15, 34)(16, 30)(17, 33)
	local type(s) :: { ( 17^34 ) }
Outer automorphisms :: reflexible
Dual of E8.63
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 17 f = 2
	degree seq :: [ 34 ]

E8.69 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 17, 17})
Quotient :: loop
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2^5, (T1^-1 * T2^-1)^17 ]
Map:: non-degenerate
	R = (1, 18, 3, 20, 9, 26, 15, 32, 14, 31, 8, 25, 2, 19, 7, 24, 13, 30, 16, 33, 10, 27, 4, 21, 6, 23, 12, 29, 17, 34, 11, 28, 5, 22)
	L = (1, 19)(2, 23)(3, 24)(4, 18)(5, 25)(6, 20)(7, 29)(8, 21)(9, 30)(10, 22)(11, 31)(12, 26)(13, 34)(14, 27)(15, 33)(16, 28)(17, 32)
	local type(s) :: { ( 17^34 ) }
Outer automorphisms :: reflexible
Dual of E8.64
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 17 f = 2
	degree seq :: [ 34 ]

E8.70 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 17, 17})
Quotient :: loop
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-1 * T1^-1, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-5 ]
Map:: non-degenerate
	R = (1, 18, 3, 20, 9, 26, 15, 32, 12, 29, 6, 23, 4, 21, 10, 27, 16, 33, 14, 31, 8, 25, 2, 19, 7, 24, 13, 30, 17, 34, 11, 28, 5, 22)
	L = (1, 19)(2, 23)(3, 24)(4, 18)(5, 25)(6, 22)(7, 21)(8, 29)(9, 30)(10, 20)(11, 31)(12, 28)(13, 27)(14, 32)(15, 34)(16, 26)(17, 33)
	local type(s) :: { ( 17^34 ) }
Outer automorphisms :: reflexible
Dual of E8.60
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 17 f = 2
	degree seq :: [ 34 ]

E8.71 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 17, 17})
Quotient :: loop
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^2 * T1 * T2^2, T1^2 * T2^-1 * T1^2 ]
Map:: non-degenerate
	R = (1, 18, 3, 20, 9, 26, 12, 29, 4, 21, 10, 27, 16, 33, 17, 34, 11, 28, 6, 23, 14, 31, 15, 32, 8, 25, 2, 19, 7, 24, 13, 30, 5, 22)
	L = (1, 19)(2, 23)(3, 24)(4, 18)(5, 25)(6, 27)(7, 31)(8, 28)(9, 30)(10, 20)(11, 21)(12, 22)(13, 32)(14, 33)(15, 34)(16, 26)(17, 29)
	local type(s) :: { ( 17^34 ) }
Outer automorphisms :: reflexible
Dual of E8.66
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 17 f = 2
	degree seq :: [ 34 ]

E8.72 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 17, 17})
Quotient :: loop
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^2 * T2 * T1^2, T2^-4 * T1 ]
Map:: non-degenerate
	R = (1, 18, 3, 20, 9, 26, 8, 25, 2, 19, 7, 24, 15, 32, 14, 31, 6, 23, 11, 28, 16, 33, 17, 34, 12, 29, 4, 21, 10, 27, 13, 30, 5, 22)
	L = (1, 19)(2, 23)(3, 24)(4, 18)(5, 25)(6, 29)(7, 28)(8, 31)(9, 32)(10, 20)(11, 21)(12, 22)(13, 26)(14, 34)(15, 33)(16, 27)(17, 30)
	local type(s) :: { ( 17^34 ) }
Outer automorphisms :: reflexible
Dual of E8.62
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 17 f = 2
	degree seq :: [ 34 ]

E8.73 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {17, 17, 17})
Quotient :: loop
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^-5 ]
Map:: non-degenerate
	R = (1, 18, 3, 20, 9, 26, 4, 21, 10, 27, 15, 32, 11, 28, 16, 33, 12, 29, 17, 34, 14, 31, 6, 23, 13, 30, 8, 25, 2, 19, 7, 24, 5, 22)
	L = (1, 19)(2, 23)(3, 24)(4, 18)(5, 25)(6, 29)(7, 30)(8, 31)(9, 22)(10, 20)(11, 21)(12, 32)(13, 34)(14, 33)(15, 26)(16, 27)(17, 28)
	local type(s) :: { ( 17^34 ) }
Outer automorphisms :: reflexible
Dual of E8.65
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 17 f = 2
	degree seq :: [ 34 ]

E8.74 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^8 * Y2, Y2 * Y1^-8 ]
Map::
	R = (1, 18, 2, 19, 6, 23, 10, 27, 14, 31, 16, 33, 12, 29, 8, 25, 3, 20, 5, 22, 7, 24, 11, 28, 15, 32, 17, 34, 13, 30, 9, 26, 4, 21)(35, 52, 37, 54, 38, 55, 42, 59, 43, 60, 46, 63, 47, 64, 50, 67, 51, 68, 48, 65, 49, 66, 44, 61, 45, 62, 40, 57, 41, 58, 36, 53, 39, 56)
	L = (1, 38)(2, 35)(3, 42)(4, 43)(5, 37)(6, 36)(7, 39)(8, 46)(9, 47)(10, 40)(11, 41)(12, 50)(13, 51)(14, 44)(15, 45)(16, 48)(17, 49)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.81
Graph:: bipartite
	v = 2 e = 34 f = 18
	degree seq :: [ 34^2 ]

E8.75 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^3 * Y2^-1 * Y1^-3 * Y3 * Y1^-1, Y3^-1 * Y1^5 * Y3^-2 * Y2, Y1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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 ]
Map::
	R = (1, 18, 2, 19, 6, 23, 10, 27, 14, 31, 17, 34, 13, 30, 9, 26, 5, 22, 3, 20, 7, 24, 11, 28, 15, 32, 16, 33, 12, 29, 8, 25, 4, 21)(35, 52, 37, 54, 36, 53, 41, 58, 40, 57, 45, 62, 44, 61, 49, 66, 48, 65, 50, 67, 51, 68, 46, 63, 47, 64, 42, 59, 43, 60, 38, 55, 39, 56)
	L = (1, 38)(2, 35)(3, 39)(4, 42)(5, 43)(6, 36)(7, 37)(8, 46)(9, 47)(10, 40)(11, 41)(12, 50)(13, 51)(14, 44)(15, 45)(16, 49)(17, 48)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.85
Graph:: bipartite
	v = 2 e = 34 f = 18
	degree seq :: [ 34^2 ]

E8.76 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^-3 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3 * Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-5, Y1^2 * Y2^-2 * Y3^-3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 18, 2, 19, 6, 23, 12, 29, 15, 32, 9, 26, 5, 22, 8, 25, 14, 31, 16, 33, 10, 27, 3, 20, 7, 24, 13, 30, 17, 34, 11, 28, 4, 21)(35, 52, 37, 54, 43, 60, 38, 55, 44, 61, 49, 66, 45, 62, 50, 67, 46, 63, 51, 68, 48, 65, 40, 57, 47, 64, 42, 59, 36, 53, 41, 58, 39, 56)
	L = (1, 38)(2, 35)(3, 44)(4, 45)(5, 43)(6, 36)(7, 37)(8, 39)(9, 49)(10, 50)(11, 51)(12, 40)(13, 41)(14, 42)(15, 46)(16, 48)(17, 47)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.87
Graph:: bipartite
	v = 2 e = 34 f = 18
	degree seq :: [ 34^2 ]

E8.77 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^-2 * Y3^-1 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y3^-1 * Y2^-1 * Y1^5, Y3 * Y2^-2 * Y3^2 * Y2 * Y3^2 * Y2^-1, (Y3 * Y2^-1)^17 ]
Map::
	R = (1, 18, 2, 19, 6, 23, 12, 29, 15, 32, 9, 26, 3, 20, 7, 24, 13, 30, 17, 34, 11, 28, 5, 22, 8, 25, 14, 31, 16, 33, 10, 27, 4, 21)(35, 52, 37, 54, 42, 59, 36, 53, 41, 58, 48, 65, 40, 57, 47, 64, 50, 67, 46, 63, 51, 68, 44, 61, 49, 66, 45, 62, 38, 55, 43, 60, 39, 56)
	L = (1, 38)(2, 35)(3, 43)(4, 44)(5, 45)(6, 36)(7, 37)(8, 39)(9, 49)(10, 50)(11, 51)(12, 40)(13, 41)(14, 42)(15, 46)(16, 48)(17, 47)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.84
Graph:: bipartite
	v = 2 e = 34 f = 18
	degree seq :: [ 34^2 ]

E8.78 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y1 * Y2^4, Y2^-1 * Y1^2 * Y3^-2, Y1^3 * Y2^-1 * Y3^-1, Y2^2 * Y3 * Y2 * Y3 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 18, 2, 19, 6, 23, 10, 27, 3, 20, 7, 24, 14, 31, 16, 33, 9, 26, 13, 30, 15, 32, 17, 34, 12, 29, 5, 22, 8, 25, 11, 28, 4, 21)(35, 52, 37, 54, 43, 60, 46, 63, 38, 55, 44, 61, 50, 67, 51, 68, 45, 62, 40, 57, 48, 65, 49, 66, 42, 59, 36, 53, 41, 58, 47, 64, 39, 56)
	L = (1, 38)(2, 35)(3, 44)(4, 45)(5, 46)(6, 36)(7, 37)(8, 39)(9, 50)(10, 40)(11, 42)(12, 51)(13, 43)(14, 41)(15, 47)(16, 48)(17, 49)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.86
Graph:: bipartite
	v = 2 e = 34 f = 18
	degree seq :: [ 34^2 ]

E8.79 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2 * Y3 * Y2 * Y3^2, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-4, Y2^2 * Y1^-4 * Y3^-1, Y2^10 * Y1 * Y3^-1, Y1^17 ]
Map::
	R = (1, 18, 2, 19, 6, 23, 9, 26, 15, 32, 17, 34, 12, 29, 5, 22, 8, 25, 10, 27, 3, 20, 7, 24, 14, 31, 16, 33, 13, 30, 11, 28, 4, 21)(35, 52, 37, 54, 43, 60, 50, 67, 46, 63, 38, 55, 44, 61, 40, 57, 48, 65, 51, 68, 45, 62, 42, 59, 36, 53, 41, 58, 49, 66, 47, 64, 39, 56)
	L = (1, 38)(2, 35)(3, 44)(4, 45)(5, 46)(6, 36)(7, 37)(8, 39)(9, 40)(10, 42)(11, 47)(12, 51)(13, 50)(14, 41)(15, 43)(16, 48)(17, 49)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.83
Graph:: bipartite
	v = 2 e = 34 f = 18
	degree seq :: [ 34^2 ]

E8.80 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2 * Y1^3 * Y2, Y1 * Y2 * Y1^2 * Y2, Y2^4 * 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 ]
Map::
	R = (1, 18, 2, 19, 6, 23, 13, 30, 15, 32, 17, 34, 10, 27, 3, 20, 7, 24, 12, 29, 5, 22, 8, 25, 14, 31, 16, 33, 9, 26, 11, 28, 4, 21)(35, 52, 37, 54, 43, 60, 49, 66, 42, 59, 36, 53, 41, 58, 45, 62, 51, 68, 48, 65, 40, 57, 46, 63, 38, 55, 44, 61, 50, 67, 47, 64, 39, 56)
	L = (1, 38)(2, 35)(3, 44)(4, 45)(5, 46)(6, 36)(7, 37)(8, 39)(9, 50)(10, 51)(11, 43)(12, 41)(13, 40)(14, 42)(15, 47)(16, 48)(17, 49)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.82
Graph:: bipartite
	v = 2 e = 34 f = 18
	degree seq :: [ 34^2 ]

E8.81 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, Y2^17, (Y3^-1 * Y1^-1)^17, (Y3 * Y2^-1)^17 ]
Map::
	R = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)(35, 52, 36, 53, 38, 55, 40, 57, 42, 59, 44, 61, 46, 63, 48, 65, 50, 67, 51, 68, 49, 66, 47, 64, 45, 62, 43, 60, 41, 58, 39, 56, 37, 54)
	L = (1, 37)(2, 35)(3, 39)(4, 36)(5, 41)(6, 38)(7, 43)(8, 40)(9, 45)(10, 42)(11, 47)(12, 44)(13, 49)(14, 46)(15, 51)(16, 48)(17, 50)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 34, 34 ), ( 34^34 ) }
Outer automorphisms :: reflexible
Dual of E8.74
Graph:: bipartite
	v = 18 e = 34 f = 2
	degree seq :: [ 2^17, 34 ]

E8.82 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-8, (Y3 * Y2^-1)^17, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)(35, 52, 36, 53, 39, 56, 40, 57, 43, 60, 44, 61, 47, 64, 48, 65, 51, 68, 49, 66, 50, 67, 45, 62, 46, 63, 41, 58, 42, 59, 37, 54, 38, 55)
	L = (1, 37)(2, 38)(3, 41)(4, 42)(5, 35)(6, 36)(7, 45)(8, 46)(9, 39)(10, 40)(11, 49)(12, 50)(13, 43)(14, 44)(15, 48)(16, 51)(17, 47)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 34, 34 ), ( 34^34 ) }
Outer automorphisms :: reflexible
Dual of E8.80
Graph:: bipartite
	v = 18 e = 34 f = 2
	degree seq :: [ 2^17, 34 ]

E8.83 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 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^-5, (Y3^-1 * Y1^-1)^17, (Y3 * Y2^-1)^17 ]
Map::
	R = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)(35, 52, 36, 53, 40, 57, 39, 56, 42, 59, 46, 63, 45, 62, 48, 65, 49, 66, 51, 68, 50, 67, 43, 60, 47, 64, 44, 61, 37, 54, 41, 58, 38, 55)
	L = (1, 37)(2, 41)(3, 43)(4, 44)(5, 35)(6, 38)(7, 47)(8, 36)(9, 49)(10, 50)(11, 39)(12, 40)(13, 51)(14, 42)(15, 46)(16, 48)(17, 45)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 34, 34 ), ( 34^34 ) }
Outer automorphisms :: reflexible
Dual of E8.79
Graph:: bipartite
	v = 18 e = 34 f = 2
	degree seq :: [ 2^17, 34 ]

E8.84 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2 * Y3 * Y2^3, Y3 * Y2^-1 * Y3^3, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)(35, 52, 36, 53, 40, 57, 46, 63, 39, 56, 42, 59, 48, 65, 51, 68, 47, 64, 43, 60, 49, 66, 50, 67, 44, 61, 37, 54, 41, 58, 45, 62, 38, 55)
	L = (1, 37)(2, 41)(3, 43)(4, 44)(5, 35)(6, 45)(7, 49)(8, 36)(9, 42)(10, 47)(11, 50)(12, 38)(13, 39)(14, 40)(15, 48)(16, 51)(17, 46)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 34, 34 ), ( 34^34 ) }
Outer automorphisms :: reflexible
Dual of E8.77
Graph:: bipartite
	v = 18 e = 34 f = 2
	degree seq :: [ 2^17, 34 ]

E8.85 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y3 * Y2^-1 * Y3^2, Y3^-1 * Y2^-5, Y2^-1 * Y3^-7, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)(35, 52, 36, 53, 40, 57, 48, 65, 46, 63, 39, 56, 42, 59, 43, 60, 50, 67, 51, 68, 47, 64, 44, 61, 37, 54, 41, 58, 49, 66, 45, 62, 38, 55)
	L = (1, 37)(2, 41)(3, 43)(4, 44)(5, 35)(6, 49)(7, 50)(8, 36)(9, 40)(10, 42)(11, 47)(12, 38)(13, 39)(14, 45)(15, 51)(16, 48)(17, 46)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 34, 34 ), ( 34^34 ) }
Outer automorphisms :: reflexible
Dual of E8.75
Graph:: bipartite
	v = 18 e = 34 f = 2
	degree seq :: [ 2^17, 34 ]

E8.86 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-1 * Y3^-3, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, Y2^6 * Y3, (Y3 * Y2^-1)^17, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)(35, 52, 36, 53, 40, 57, 46, 63, 49, 66, 43, 60, 39, 56, 42, 59, 48, 65, 50, 67, 44, 61, 37, 54, 41, 58, 47, 64, 51, 68, 45, 62, 38, 55)
	L = (1, 37)(2, 41)(3, 43)(4, 44)(5, 35)(6, 47)(7, 39)(8, 36)(9, 38)(10, 49)(11, 50)(12, 51)(13, 42)(14, 40)(15, 45)(16, 46)(17, 48)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 34, 34 ), ( 34^34 ) }
Outer automorphisms :: reflexible
Dual of E8.78
Graph:: bipartite
	v = 18 e = 34 f = 2
	degree seq :: [ 2^17, 34 ]

E8.87 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {17, 17, 17})
Quotient :: dipole
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3^3 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^17 ]
Map::
	R = (1, 18)(2, 19)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 25)(9, 26)(10, 27)(11, 28)(12, 29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)(35, 52, 36, 53, 40, 57, 43, 60, 49, 66, 51, 68, 46, 63, 39, 56, 42, 59, 44, 61, 37, 54, 41, 58, 48, 65, 50, 67, 47, 64, 45, 62, 38, 55)
	L = (1, 37)(2, 41)(3, 43)(4, 44)(5, 35)(6, 48)(7, 49)(8, 36)(9, 50)(10, 40)(11, 42)(12, 38)(13, 39)(14, 51)(15, 47)(16, 46)(17, 45)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 34, 34 ), ( 34^34 ) }
Outer automorphisms :: reflexible
Dual of E8.76
Graph:: bipartite
	v = 18 e = 34 f = 2
	degree seq :: [ 2^17, 34 ]

E8.88 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: halfedge^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1^-1 * Y2, Y1^9 ]
Map::
	R = (1, 20, 2, 23, 5, 27, 9, 31, 13, 34, 16, 30, 12, 26, 8, 22, 4, 19)(3, 25, 7, 29, 11, 33, 15, 36, 18, 35, 17, 32, 14, 28, 10, 24, 6, 21)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 17)(16, 18)(19, 21)(20, 24)(22, 25)(23, 28)(26, 29)(27, 32)(30, 33)(31, 35)(34, 36)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 18 f = 2
	degree seq :: [ 18^2 ]

E8.89 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: halfedge^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y3 * Y2 * Y3, Y1^4 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 20, 2, 24, 6, 32, 14, 30, 12, 28, 10, 35, 17, 31, 13, 23, 5, 19)(3, 27, 9, 36, 18, 34, 16, 26, 8, 22, 4, 29, 11, 33, 15, 25, 7, 21)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 10)(11, 14)(13, 18)(16, 17)(19, 22)(20, 26)(21, 28)(23, 29)(24, 34)(25, 35)(27, 30)(31, 33)(32, 36)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E8.90
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 18 f = 2
	degree seq :: [ 18^2 ]

E8.90 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: halfedge^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y1^-1 * Y3)^2, Y1^2 * Y3 * Y1^-1 * Y2, (Y2 * Y3)^3, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3, Y1^18 ]
Map:: non-degenerate
	R = (1, 20, 2, 24, 6, 28, 10, 33, 15, 36, 18, 30, 12, 31, 13, 23, 5, 19)(3, 27, 9, 26, 8, 22, 4, 29, 11, 35, 17, 34, 16, 32, 14, 25, 7, 21)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 13)(10, 16)(11, 18)(15, 17)(19, 22)(20, 26)(21, 28)(23, 29)(24, 27)(25, 33)(30, 34)(31, 35)(32, 36)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E8.89
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 18 f = 2
	degree seq :: [ 18^2 ]

E8.91 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, R * Y1 * R * Y2, Y3^9 ]
Map::
	R = (1, 19, 3, 21, 7, 25, 11, 29, 15, 33, 16, 34, 12, 30, 8, 26, 4, 22)(2, 20, 5, 23, 9, 27, 13, 31, 17, 35, 18, 36, 14, 32, 10, 28, 6, 24)(37, 38)(39, 42)(40, 41)(43, 46)(44, 45)(47, 50)(48, 49)(51, 54)(52, 53)(55, 56)(57, 60)(58, 59)(61, 64)(62, 63)(65, 68)(66, 67)(69, 72)(70, 71)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E8.95
Graph:: simple bipartite
	v = 20 e = 36 f = 2
	degree seq :: [ 2^18, 18^2 ]

E8.92 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y3^-3 * Y1, (Y1 * Y2)^3, Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y2 ]
Map::
	R = (1, 19, 4, 22, 12, 30, 6, 24, 15, 33, 17, 35, 9, 27, 13, 31, 5, 23)(2, 20, 7, 25, 11, 29, 3, 21, 10, 28, 18, 36, 14, 32, 16, 34, 8, 26)(37, 38)(39, 45)(40, 44)(41, 43)(42, 50)(46, 53)(47, 49)(48, 52)(51, 54)(55, 57)(56, 60)(58, 65)(59, 64)(61, 66)(62, 69)(63, 68)(67, 72)(70, 71)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E8.97
Graph:: simple bipartite
	v = 20 e = 36 f = 2
	degree seq :: [ 2^18, 18^2 ]

E8.93 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3, Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^9 ]
Map::
	R = (1, 19, 4, 22, 8, 26, 12, 30, 16, 34, 17, 35, 13, 31, 9, 27, 5, 23)(2, 20, 3, 21, 7, 25, 11, 29, 15, 33, 18, 36, 14, 32, 10, 28, 6, 24)(37, 38)(39, 41)(40, 42)(43, 45)(44, 46)(47, 49)(48, 50)(51, 53)(52, 54)(55, 57)(56, 58)(59, 61)(60, 62)(63, 65)(64, 66)(67, 69)(68, 70)(71, 72)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E8.96
Graph:: simple bipartite
	v = 20 e = 36 f = 2
	degree seq :: [ 2^18, 18^2 ]

E8.94 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y1^-1, Y2^9, Y1^9 ]
Map:: non-degenerate
	R = (1, 19, 4, 22)(2, 20, 6, 24)(3, 21, 8, 26)(5, 23, 10, 28)(7, 25, 12, 30)(9, 27, 14, 32)(11, 29, 16, 34)(13, 31, 17, 35)(15, 33, 18, 36)(37, 38, 41, 45, 49, 51, 47, 43, 39)(40, 44, 48, 52, 54, 53, 50, 46, 42)(55, 57, 61, 65, 69, 67, 63, 59, 56)(58, 60, 64, 68, 71, 72, 70, 66, 62)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 8^4 ), ( 8^9 ) }
Outer automorphisms :: reflexible
Dual of E8.98
Graph:: simple bipartite
	v = 13 e = 36 f = 9
	degree seq :: [ 4^9, 9^4 ]

E8.95 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, R * Y1 * R * Y2, Y3^9 ]
Map::
	R = (1, 19, 37, 55, 3, 21, 39, 57, 7, 25, 43, 61, 11, 29, 47, 65, 15, 33, 51, 69, 16, 34, 52, 70, 12, 30, 48, 66, 8, 26, 44, 62, 4, 22, 40, 58)(2, 20, 38, 56, 5, 23, 41, 59, 9, 27, 45, 63, 13, 31, 49, 67, 17, 35, 53, 71, 18, 36, 54, 72, 14, 32, 50, 68, 10, 28, 46, 64, 6, 24, 42, 60)
	L = (1, 20)(2, 19)(3, 24)(4, 23)(5, 22)(6, 21)(7, 28)(8, 27)(9, 26)(10, 25)(11, 32)(12, 31)(13, 30)(14, 29)(15, 36)(16, 35)(17, 34)(18, 33)(37, 56)(38, 55)(39, 60)(40, 59)(41, 58)(42, 57)(43, 64)(44, 63)(45, 62)(46, 61)(47, 68)(48, 67)(49, 66)(50, 65)(51, 72)(52, 71)(53, 70)(54, 69)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.91
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 36 f = 20
	degree seq :: [ 36^2 ]

E8.96 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y3^-3 * Y1, (Y1 * Y2)^3, Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y2 ]
Map::
	R = (1, 19, 37, 55, 4, 22, 40, 58, 12, 30, 48, 66, 6, 24, 42, 60, 15, 33, 51, 69, 17, 35, 53, 71, 9, 27, 45, 63, 13, 31, 49, 67, 5, 23, 41, 59)(2, 20, 38, 56, 7, 25, 43, 61, 11, 29, 47, 65, 3, 21, 39, 57, 10, 28, 46, 64, 18, 36, 54, 72, 14, 32, 50, 68, 16, 34, 52, 70, 8, 26, 44, 62)
	L = (1, 20)(2, 19)(3, 27)(4, 26)(5, 25)(6, 32)(7, 23)(8, 22)(9, 21)(10, 35)(11, 31)(12, 34)(13, 29)(14, 24)(15, 36)(16, 30)(17, 28)(18, 33)(37, 57)(38, 60)(39, 55)(40, 65)(41, 64)(42, 56)(43, 66)(44, 69)(45, 68)(46, 59)(47, 58)(48, 61)(49, 72)(50, 63)(51, 62)(52, 71)(53, 70)(54, 67)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.93
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 36 f = 20
	degree seq :: [ 36^2 ]

E8.97 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3, Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^9 ]
Map::
	R = (1, 19, 37, 55, 4, 22, 40, 58, 8, 26, 44, 62, 12, 30, 48, 66, 16, 34, 52, 70, 17, 35, 53, 71, 13, 31, 49, 67, 9, 27, 45, 63, 5, 23, 41, 59)(2, 20, 38, 56, 3, 21, 39, 57, 7, 25, 43, 61, 11, 29, 47, 65, 15, 33, 51, 69, 18, 36, 54, 72, 14, 32, 50, 68, 10, 28, 46, 64, 6, 24, 42, 60)
	L = (1, 20)(2, 19)(3, 23)(4, 24)(5, 21)(6, 22)(7, 27)(8, 28)(9, 25)(10, 26)(11, 31)(12, 32)(13, 29)(14, 30)(15, 35)(16, 36)(17, 33)(18, 34)(37, 57)(38, 58)(39, 55)(40, 56)(41, 61)(42, 62)(43, 59)(44, 60)(45, 65)(46, 66)(47, 63)(48, 64)(49, 69)(50, 70)(51, 67)(52, 68)(53, 72)(54, 71)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.92
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 36 f = 20
	degree seq :: [ 36^2 ]

E8.98 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y1^-1, Y2^9, Y1^9 ]
Map:: non-degenerate
	R = (1, 19, 37, 55, 4, 22, 40, 58)(2, 20, 38, 56, 6, 24, 42, 60)(3, 21, 39, 57, 8, 26, 44, 62)(5, 23, 41, 59, 10, 28, 46, 64)(7, 25, 43, 61, 12, 30, 48, 66)(9, 27, 45, 63, 14, 32, 50, 68)(11, 29, 47, 65, 16, 34, 52, 70)(13, 31, 49, 67, 17, 35, 53, 71)(15, 33, 51, 69, 18, 36, 54, 72)
	L = (1, 20)(2, 23)(3, 19)(4, 26)(5, 27)(6, 22)(7, 21)(8, 30)(9, 31)(10, 24)(11, 25)(12, 34)(13, 33)(14, 28)(15, 29)(16, 36)(17, 32)(18, 35)(37, 57)(38, 55)(39, 61)(40, 60)(41, 56)(42, 64)(43, 65)(44, 58)(45, 59)(46, 68)(47, 69)(48, 62)(49, 63)(50, 71)(51, 67)(52, 66)(53, 72)(54, 70)
	local type(s) :: { ( 4, 9, 4, 9, 4, 9, 4, 9 ) }
Outer automorphisms :: reflexible
Dual of E8.94
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 13
	degree seq :: [ 8^9 ]

E8.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 19, 2, 20)(3, 21, 5, 23)(4, 22, 6, 24)(7, 25, 9, 27)(8, 26, 10, 28)(11, 29, 13, 31)(12, 30, 14, 32)(15, 33, 17, 35)(16, 34, 18, 36)(37, 55, 39, 57, 43, 61, 47, 65, 51, 69, 52, 70, 48, 66, 44, 62, 40, 58)(38, 56, 41, 59, 45, 63, 49, 67, 53, 71, 54, 72, 50, 68, 46, 64, 42, 60)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 11 e = 36 f = 11
	degree seq :: [ 4^9, 18^2 ]

E8.100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ 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, Y2^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 19, 2, 20)(3, 21, 6, 24)(4, 22, 5, 23)(7, 25, 10, 28)(8, 26, 9, 27)(11, 29, 14, 32)(12, 30, 13, 31)(15, 33, 18, 36)(16, 34, 17, 35)(37, 55, 39, 57, 43, 61, 47, 65, 51, 69, 52, 70, 48, 66, 44, 62, 40, 58)(38, 56, 41, 59, 45, 63, 49, 67, 53, 71, 54, 72, 50, 68, 46, 64, 42, 60)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 11 e = 36 f = 11
	degree seq :: [ 4^9, 18^2 ]

E8.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3 * Y2^-3, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 9, 27)(4, 22, 10, 28)(5, 23, 7, 25)(6, 24, 8, 26)(11, 29, 17, 35)(12, 30, 18, 36)(13, 31, 15, 33)(14, 32, 16, 34)(37, 55, 39, 57, 47, 65, 40, 58, 48, 66, 50, 68, 42, 60, 49, 67, 41, 59)(38, 56, 43, 61, 51, 69, 44, 62, 52, 70, 54, 72, 46, 64, 53, 71, 45, 63)
	L = (1, 40)(2, 44)(3, 48)(4, 42)(5, 47)(6, 37)(7, 52)(8, 46)(9, 51)(10, 38)(11, 50)(12, 49)(13, 39)(14, 41)(15, 54)(16, 53)(17, 43)(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) :: { ( 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 E8.102
Graph:: bipartite
	v = 11 e = 36 f = 11
	degree seq :: [ 4^9, 18^2 ]

E8.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2, Y3^-1), Y2^-3 * Y3^-1, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 9, 27)(4, 22, 10, 28)(5, 23, 7, 25)(6, 24, 8, 26)(11, 29, 16, 34)(12, 30, 15, 33)(13, 31, 18, 36)(14, 32, 17, 35)(37, 55, 39, 57, 47, 65, 42, 60, 49, 67, 50, 68, 40, 58, 48, 66, 41, 59)(38, 56, 43, 61, 51, 69, 46, 64, 53, 71, 54, 72, 44, 62, 52, 70, 45, 63)
	L = (1, 40)(2, 44)(3, 48)(4, 42)(5, 50)(6, 37)(7, 52)(8, 46)(9, 54)(10, 38)(11, 41)(12, 49)(13, 39)(14, 47)(15, 45)(16, 53)(17, 43)(18, 51)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 4, 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 E8.101
Graph:: bipartite
	v = 11 e = 36 f = 11
	degree seq :: [ 4^9, 18^2 ]

E8.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2, (Y3^-1 * Y1)^2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y2^9, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 6, 24)(4, 22, 5, 23)(7, 25, 10, 28)(8, 26, 9, 27)(11, 29, 14, 32)(12, 30, 13, 31)(15, 33, 18, 36)(16, 34, 17, 35)(37, 55, 39, 57, 43, 61, 47, 65, 51, 69, 52, 70, 48, 66, 44, 62, 40, 58)(38, 56, 41, 59, 45, 63, 49, 67, 53, 71, 54, 72, 50, 68, 46, 64, 42, 60)
	L = (1, 40)(2, 42)(3, 37)(4, 44)(5, 38)(6, 46)(7, 39)(8, 48)(9, 41)(10, 50)(11, 43)(12, 52)(13, 45)(14, 54)(15, 47)(16, 51)(17, 49)(18, 53)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 4, 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 E8.105
Graph:: bipartite
	v = 11 e = 36 f = 11
	degree seq :: [ 4^9, 18^2 ]

E8.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1)^2, Y3^2 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 9, 27)(4, 22, 10, 28)(5, 23, 7, 25)(6, 24, 8, 26)(11, 29, 17, 35)(12, 30, 18, 36)(13, 31, 15, 33)(14, 32, 16, 34)(37, 55, 39, 57, 40, 58, 47, 65, 48, 66, 50, 68, 49, 67, 42, 60, 41, 59)(38, 56, 43, 61, 44, 62, 51, 69, 52, 70, 54, 72, 53, 71, 46, 64, 45, 63)
	L = (1, 40)(2, 44)(3, 47)(4, 48)(5, 39)(6, 37)(7, 51)(8, 52)(9, 43)(10, 38)(11, 50)(12, 49)(13, 41)(14, 42)(15, 54)(16, 53)(17, 45)(18, 46)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 11 e = 36 f = 11
	degree seq :: [ 4^9, 18^2 ]

E8.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^3 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 9, 27)(4, 22, 10, 28)(5, 23, 7, 25)(6, 24, 8, 26)(11, 29, 17, 35)(12, 30, 18, 36)(13, 31, 15, 33)(14, 32, 16, 34)(37, 55, 39, 57, 47, 65, 50, 68, 42, 60, 40, 58, 48, 66, 49, 67, 41, 59)(38, 56, 43, 61, 51, 69, 54, 72, 46, 64, 44, 62, 52, 70, 53, 71, 45, 63)
	L = (1, 40)(2, 44)(3, 48)(4, 39)(5, 42)(6, 37)(7, 52)(8, 43)(9, 46)(10, 38)(11, 49)(12, 47)(13, 50)(14, 41)(15, 53)(16, 51)(17, 54)(18, 45)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 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 E8.103
Graph:: bipartite
	v = 11 e = 36 f = 11
	degree seq :: [ 4^9, 18^2 ]

E8.106 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T1)^2, (F * T2)^2, T1^2 * T2^-2, T2^8 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 6, 12, 15, 18, 13, 10, 4, 8, 2, 7, 11, 16, 17, 14, 9, 5)(19, 20, 24, 29, 33, 35, 31, 27, 22)(21, 25, 30, 34, 36, 32, 28, 23, 26)
	L = (1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 24)(7, 25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E8.112
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 18 f = 1
	degree seq :: [ 9^2, 18 ]

E8.107 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^9 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 18, 14, 15, 10, 11, 6, 7, 2, 5)(19, 20, 24, 28, 32, 35, 31, 27, 22)(21, 23, 25, 29, 33, 36, 34, 30, 26)
	L = (1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 24)(7, 25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E8.111
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 18 f = 1
	degree seq :: [ 9^2, 18 ]

E8.108 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2, T1), T2^-4 * T1, T1 * T2 * T1^3 * T2, T1^18 ]
Map:: non-degenerate
	R = (1, 3, 9, 8, 2, 7, 17, 16, 6, 15, 11, 18, 14, 12, 4, 10, 13, 5)(19, 20, 24, 32, 31, 27, 35, 29, 22)(21, 25, 33, 30, 23, 26, 34, 36, 28)
	L = (1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 24)(7, 25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E8.110
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 18 f = 1
	degree seq :: [ 9^2, 18 ]

E8.109 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^2 * T2^4, T2^-1 * T1^-1 * T2^-3 * T1^-1, T2^2 * T1^-1 * T2 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 11, 18, 8, 2, 7, 17, 12, 4, 10, 16, 6, 15, 13, 5)(19, 20, 24, 32, 30, 23, 26, 34, 27, 35, 31, 36, 28, 21, 25, 33, 29, 22)
	L = (1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 24)(7, 25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E8.113
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 18 f = 2
	degree seq :: [ 18^2 ]

E8.110 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T1)^2, (F * T2)^2, T1^2 * T2^-2, T2^8 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 19, 3, 21, 6, 24, 12, 30, 15, 33, 18, 36, 13, 31, 10, 28, 4, 22, 8, 26, 2, 20, 7, 25, 11, 29, 16, 34, 17, 35, 14, 32, 9, 27, 5, 23)
	L = (1, 20)(2, 24)(3, 25)(4, 19)(5, 26)(6, 29)(7, 30)(8, 21)(9, 22)(10, 23)(11, 33)(12, 34)(13, 27)(14, 28)(15, 35)(16, 36)(17, 31)(18, 32)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.108
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 18 f = 3
	degree seq :: [ 36 ]

E8.111 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^9 ]
Map:: non-degenerate
	R = (1, 19, 3, 21, 4, 22, 8, 26, 9, 27, 12, 30, 13, 31, 16, 34, 17, 35, 18, 36, 14, 32, 15, 33, 10, 28, 11, 29, 6, 24, 7, 25, 2, 20, 5, 23)
	L = (1, 20)(2, 24)(3, 23)(4, 19)(5, 25)(6, 28)(7, 29)(8, 21)(9, 22)(10, 32)(11, 33)(12, 26)(13, 27)(14, 35)(15, 36)(16, 30)(17, 31)(18, 34)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.107
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 18 f = 3
	degree seq :: [ 36 ]

E8.112 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2, T1), T2^-4 * T1, T1 * T2 * T1^3 * T2, T1^18 ]
Map:: non-degenerate
	R = (1, 19, 3, 21, 9, 27, 8, 26, 2, 20, 7, 25, 17, 35, 16, 34, 6, 24, 15, 33, 11, 29, 18, 36, 14, 32, 12, 30, 4, 22, 10, 28, 13, 31, 5, 23)
	L = (1, 20)(2, 24)(3, 25)(4, 19)(5, 26)(6, 32)(7, 33)(8, 34)(9, 35)(10, 21)(11, 22)(12, 23)(13, 27)(14, 31)(15, 30)(16, 36)(17, 29)(18, 28)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.106
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 18 f = 3
	degree seq :: [ 36 ]

E8.113 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2^-1, T2^3 * T1 * T2^-3 * T1^-1, T1^2 * T2^7, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^4 ]
Map:: non-degenerate
	R = (1, 19, 3, 21, 6, 24, 12, 30, 15, 33, 17, 35, 14, 32, 9, 27, 5, 23)(2, 20, 7, 25, 11, 29, 16, 34, 18, 36, 13, 31, 10, 28, 4, 22, 8, 26)
	L = (1, 20)(2, 24)(3, 25)(4, 19)(5, 26)(6, 29)(7, 30)(8, 21)(9, 22)(10, 23)(11, 33)(12, 34)(13, 27)(14, 28)(15, 36)(16, 35)(17, 31)(18, 32)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E8.109
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 18 f = 2
	degree seq :: [ 18^2 ]

E8.114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y3 * Y1^-1 * Y2, Y2 * Y3 * Y2 * Y1^-1, (R * Y3)^2, (R * Y2)^2, Y1^3 * Y2 * Y1 * Y2 * Y3^-3, Y1^9, (Y1 * Y3^-1)^9, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 19, 2, 20, 6, 24, 11, 29, 15, 33, 17, 35, 13, 31, 9, 27, 4, 22)(3, 21, 7, 25, 12, 30, 16, 34, 18, 36, 14, 32, 10, 28, 5, 23, 8, 26)(37, 55, 39, 57, 42, 60, 48, 66, 51, 69, 54, 72, 49, 67, 46, 64, 40, 58, 44, 62, 38, 56, 43, 61, 47, 65, 52, 70, 53, 71, 50, 68, 45, 63, 41, 59)
	L = (1, 40)(2, 37)(3, 44)(4, 45)(5, 46)(6, 38)(7, 39)(8, 41)(9, 49)(10, 50)(11, 42)(12, 43)(13, 53)(14, 54)(15, 47)(16, 48)(17, 51)(18, 52)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.121
Graph:: bipartite
	v = 3 e = 36 f = 19
	degree seq :: [ 18^2, 36 ]

E8.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^9, Y1^9 ]
Map::
	R = (1, 19, 2, 20, 6, 24, 10, 28, 14, 32, 17, 35, 13, 31, 9, 27, 4, 22)(3, 21, 5, 23, 7, 25, 11, 29, 15, 33, 18, 36, 16, 34, 12, 30, 8, 26)(37, 55, 39, 57, 40, 58, 44, 62, 45, 63, 48, 66, 49, 67, 52, 70, 53, 71, 54, 72, 50, 68, 51, 69, 46, 64, 47, 65, 42, 60, 43, 61, 38, 56, 41, 59)
	L = (1, 40)(2, 37)(3, 44)(4, 45)(5, 39)(6, 38)(7, 41)(8, 48)(9, 49)(10, 42)(11, 43)(12, 52)(13, 53)(14, 46)(15, 47)(16, 54)(17, 50)(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) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.120
Graph:: bipartite
	v = 3 e = 36 f = 19
	degree seq :: [ 18^2, 36 ]

E8.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), (Y2^-1, Y1^-1), (R * Y3)^2, Y3 * Y2^4, Y3^-1 * Y2 * Y3^-3 * Y2, Y1 * Y2^-1 * Y1^2 * Y3^-2 * Y2^-1, Y1^9, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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 ]
Map::
	R = (1, 19, 2, 20, 6, 24, 14, 32, 13, 31, 9, 27, 17, 35, 11, 29, 4, 22)(3, 21, 7, 25, 15, 33, 12, 30, 5, 23, 8, 26, 16, 34, 18, 36, 10, 28)(37, 55, 39, 57, 45, 63, 44, 62, 38, 56, 43, 61, 53, 71, 52, 70, 42, 60, 51, 69, 47, 65, 54, 72, 50, 68, 48, 66, 40, 58, 46, 64, 49, 67, 41, 59)
	L = (1, 40)(2, 37)(3, 46)(4, 47)(5, 48)(6, 38)(7, 39)(8, 41)(9, 49)(10, 54)(11, 53)(12, 51)(13, 50)(14, 42)(15, 43)(16, 44)(17, 45)(18, 52)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.119
Graph:: bipartite
	v = 3 e = 36 f = 19
	degree seq :: [ 18^2, 36 ]

E8.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y1^3 * Y2^-1, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 19, 2, 20, 6, 24, 14, 32, 13, 31, 18, 36, 10, 28, 3, 21, 7, 25, 15, 33, 12, 30, 5, 23, 8, 26, 16, 34, 9, 27, 17, 35, 11, 29, 4, 22)(37, 55, 39, 57, 45, 63, 50, 68, 48, 66, 40, 58, 46, 64, 52, 70, 42, 60, 51, 69, 47, 65, 54, 72, 44, 62, 38, 56, 43, 61, 53, 71, 49, 67, 41, 59)
	L = (1, 39)(2, 43)(3, 45)(4, 46)(5, 37)(6, 51)(7, 53)(8, 38)(9, 50)(10, 52)(11, 54)(12, 40)(13, 41)(14, 48)(15, 47)(16, 42)(17, 49)(18, 44)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.118
Graph:: bipartite
	v = 2 e = 36 f = 20
	degree seq :: [ 36^2 ]

E8.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-2 * Y3^-2, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-1 * Y3^8, Y2^2 * Y3^-1 * Y2^2 * Y3^-3 * Y2, Y2^9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^18 ]
Map::
	R = (1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 24)(7, 25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)(37, 55, 38, 56, 42, 60, 47, 65, 51, 69, 53, 71, 50, 68, 45, 63, 40, 58)(39, 57, 43, 61, 41, 59, 44, 62, 48, 66, 52, 70, 54, 72, 49, 67, 46, 64)
	L = (1, 39)(2, 43)(3, 45)(4, 46)(5, 37)(6, 41)(7, 40)(8, 38)(9, 49)(10, 50)(11, 44)(12, 42)(13, 53)(14, 54)(15, 48)(16, 47)(17, 52)(18, 51)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E8.117
Graph:: simple bipartite
	v = 20 e = 36 f = 2
	degree seq :: [ 2^18, 18^2 ]

E8.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1^-1)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^4 * Y1 * Y3^3 * Y1, (Y3 * Y2^-1)^9, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 19, 2, 20, 6, 24, 11, 29, 15, 33, 18, 36, 14, 32, 10, 28, 5, 23, 8, 26, 3, 21, 7, 25, 12, 30, 16, 34, 17, 35, 13, 31, 9, 27, 4, 22)(37, 55)(38, 56)(39, 57)(40, 58)(41, 59)(42, 60)(43, 61)(44, 62)(45, 63)(46, 64)(47, 65)(48, 66)(49, 67)(50, 68)(51, 69)(52, 70)(53, 71)(54, 72)
	L = (1, 39)(2, 43)(3, 42)(4, 44)(5, 37)(6, 48)(7, 47)(8, 38)(9, 41)(10, 40)(11, 52)(12, 51)(13, 46)(14, 45)(15, 53)(16, 54)(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) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.116
Graph:: bipartite
	v = 19 e = 36 f = 3
	degree seq :: [ 2^18, 36 ]

E8.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^9, (Y3^4 * Y1^-1)^2, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 19, 2, 20, 5, 23, 6, 24, 9, 27, 10, 28, 13, 31, 14, 32, 17, 35, 18, 36, 15, 33, 16, 34, 11, 29, 12, 30, 7, 25, 8, 26, 3, 21, 4, 22)(37, 55)(38, 56)(39, 57)(40, 58)(41, 59)(42, 60)(43, 61)(44, 62)(45, 63)(46, 64)(47, 65)(48, 66)(49, 67)(50, 68)(51, 69)(52, 70)(53, 71)(54, 72)
	L = (1, 39)(2, 40)(3, 43)(4, 44)(5, 37)(6, 38)(7, 47)(8, 48)(9, 41)(10, 42)(11, 51)(12, 52)(13, 45)(14, 46)(15, 53)(16, 54)(17, 49)(18, 50)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.115
Graph:: bipartite
	v = 19 e = 36 f = 3
	degree seq :: [ 2^18, 36 ]

E8.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3), Y1^3 * Y3^-1 * Y1, Y3^4 * Y1^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^3 * Y1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 19, 2, 20, 6, 24, 10, 28, 3, 21, 7, 25, 14, 32, 18, 36, 9, 27, 15, 33, 13, 31, 16, 34, 17, 35, 12, 30, 5, 23, 8, 26, 11, 29, 4, 22)(37, 55)(38, 56)(39, 57)(40, 58)(41, 59)(42, 60)(43, 61)(44, 62)(45, 63)(46, 64)(47, 65)(48, 66)(49, 67)(50, 68)(51, 69)(52, 70)(53, 71)(54, 72)
	L = (1, 39)(2, 43)(3, 45)(4, 46)(5, 37)(6, 50)(7, 51)(8, 38)(9, 53)(10, 54)(11, 42)(12, 40)(13, 41)(14, 49)(15, 48)(16, 44)(17, 47)(18, 52)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.114
Graph:: bipartite
	v = 19 e = 36 f = 3
	degree seq :: [ 2^18, 36 ]

E8.122 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 10})
Quotient :: halfedge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y1 * Y2)^2, Y1^-5 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 26, 6, 33, 13, 38, 18, 30, 10, 36, 16, 40, 20, 32, 12, 25, 5, 21)(3, 29, 9, 37, 17, 35, 15, 28, 8, 24, 4, 31, 11, 39, 19, 34, 14, 27, 7, 23)
	L = (1, 3)(2, 7)(4, 10)(5, 9)(6, 14)(8, 16)(11, 18)(12, 17)(13, 19)(15, 20)(21, 24)(22, 28)(23, 30)(25, 31)(26, 35)(27, 36)(29, 38)(32, 39)(33, 37)(34, 40)
	local type(s) :: { ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E8.124
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 20 f = 4
	degree seq :: [ 20^2 ]

E8.123 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 10})
Quotient :: halfedge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y1^2 * Y3 * Y1^-1 * Y2, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3, Y1^10 ]
Map:: non-degenerate
	R = (1, 22, 2, 26, 6, 30, 10, 35, 15, 40, 20, 38, 18, 32, 12, 33, 13, 25, 5, 21)(3, 29, 9, 28, 8, 24, 4, 31, 11, 37, 17, 39, 19, 36, 16, 34, 14, 27, 7, 23)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 13)(10, 16)(11, 18)(15, 19)(17, 20)(21, 24)(22, 28)(23, 30)(25, 31)(26, 29)(27, 35)(32, 39)(33, 37)(34, 40)(36, 38)
	local type(s) :: { ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E8.125
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 20 f = 4
	degree seq :: [ 20^2 ]

E8.124 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 10})
Quotient :: halfedge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3 * Y2)^2, Y1^5 ]
Map:: non-degenerate
	R = (1, 22, 2, 26, 6, 32, 12, 25, 5, 21)(3, 29, 9, 36, 16, 33, 13, 27, 7, 23)(4, 31, 11, 38, 18, 34, 14, 28, 8, 24)(10, 35, 15, 39, 19, 40, 20, 37, 17, 30)
	L = (1, 3)(2, 7)(4, 10)(5, 9)(6, 13)(8, 15)(11, 17)(12, 16)(14, 19)(18, 20)(21, 24)(22, 28)(23, 30)(25, 31)(26, 34)(27, 35)(29, 37)(32, 38)(33, 39)(36, 40)
	local type(s) :: { ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E8.122
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 20 f = 2
	degree seq :: [ 10^4 ]

E8.125 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 10})
Quotient :: halfedge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^2, (Y3 * Y1^-1)^2, Y1^5, Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2 * Y3 * Y1^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 26, 6, 33, 13, 25, 5, 21)(3, 29, 9, 38, 18, 34, 14, 27, 7, 23)(4, 31, 11, 40, 20, 35, 15, 28, 8, 24)(10, 36, 16, 32, 12, 37, 17, 39, 19, 30)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 17)(10, 20)(11, 16)(13, 18)(15, 19)(21, 24)(22, 28)(23, 30)(25, 31)(26, 35)(27, 36)(29, 39)(32, 34)(33, 40)(37, 38)
	local type(s) :: { ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E8.123
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 20 f = 2
	degree seq :: [ 10^4 ]

E8.126 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 10})
Quotient :: edge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y3^5, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 21, 4, 24, 11, 31, 12, 32, 5, 25)(2, 22, 7, 27, 15, 35, 16, 36, 8, 28)(3, 23, 9, 29, 17, 37, 18, 38, 10, 30)(6, 26, 13, 33, 19, 39, 20, 40, 14, 34)(41, 42)(43, 46)(44, 48)(45, 47)(49, 54)(50, 53)(51, 56)(52, 55)(57, 60)(58, 59)(61, 63)(62, 66)(64, 70)(65, 69)(67, 74)(68, 73)(71, 78)(72, 77)(75, 80)(76, 79)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40, 40 ), ( 40^10 ) }
Outer automorphisms :: reflexible
Dual of E8.132
Graph:: simple bipartite
	v = 24 e = 40 f = 2
	degree seq :: [ 2^20, 10^4 ]

E8.127 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 10})
Quotient :: edge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, Y3^5, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y2 ]
Map::
	R = (1, 21, 4, 24, 12, 32, 13, 33, 5, 25)(2, 22, 7, 27, 17, 37, 18, 38, 8, 28)(3, 23, 10, 30, 20, 40, 14, 34, 11, 31)(6, 26, 15, 35, 19, 39, 9, 29, 16, 36)(41, 42)(43, 49)(44, 48)(45, 47)(46, 54)(50, 59)(51, 56)(52, 58)(53, 57)(55, 60)(61, 63)(62, 66)(64, 71)(65, 70)(67, 76)(68, 75)(69, 77)(72, 74)(73, 80)(78, 79)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40, 40 ), ( 40^10 ) }
Outer automorphisms :: reflexible
Dual of E8.133
Graph:: simple bipartite
	v = 24 e = 40 f = 2
	degree seq :: [ 2^20, 10^4 ]

E8.128 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 10})
Quotient :: edge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y3^5 ]
Map::
	R = (1, 21, 4, 24, 11, 31, 19, 39, 14, 34, 6, 26, 13, 33, 20, 40, 12, 32, 5, 25)(2, 22, 7, 27, 15, 35, 18, 38, 10, 30, 3, 23, 9, 29, 17, 37, 16, 36, 8, 28)(41, 42)(43, 46)(44, 48)(45, 47)(49, 54)(50, 53)(51, 56)(52, 55)(57, 59)(58, 60)(61, 63)(62, 66)(64, 70)(65, 69)(67, 74)(68, 73)(71, 78)(72, 77)(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) :: { ( 20, 20 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E8.130
Graph:: simple bipartite
	v = 22 e = 40 f = 4
	degree seq :: [ 2^20, 20^2 ]

E8.129 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 10})
Quotient :: edge^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^3 * Y1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 ]
Map::
	R = (1, 21, 4, 24, 12, 32, 9, 29, 18, 38, 20, 40, 15, 35, 6, 26, 13, 33, 5, 25)(2, 22, 7, 27, 16, 36, 14, 34, 17, 37, 19, 39, 11, 31, 3, 23, 10, 30, 8, 28)(41, 42)(43, 49)(44, 48)(45, 47)(46, 54)(50, 52)(51, 58)(53, 56)(55, 57)(59, 60)(61, 63)(62, 66)(64, 71)(65, 70)(67, 75)(68, 73)(69, 77)(72, 79)(74, 78)(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) :: { ( 20, 20 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E8.131
Graph:: simple bipartite
	v = 22 e = 40 f = 4
	degree seq :: [ 2^20, 20^2 ]

E8.130 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 10})
Quotient :: loop^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y3^5, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 21, 41, 61, 4, 24, 44, 64, 11, 31, 51, 71, 12, 32, 52, 72, 5, 25, 45, 65)(2, 22, 42, 62, 7, 27, 47, 67, 15, 35, 55, 75, 16, 36, 56, 76, 8, 28, 48, 68)(3, 23, 43, 63, 9, 29, 49, 69, 17, 37, 57, 77, 18, 38, 58, 78, 10, 30, 50, 70)(6, 26, 46, 66, 13, 33, 53, 73, 19, 39, 59, 79, 20, 40, 60, 80, 14, 34, 54, 74)
	L = (1, 22)(2, 21)(3, 26)(4, 28)(5, 27)(6, 23)(7, 25)(8, 24)(9, 34)(10, 33)(11, 36)(12, 35)(13, 30)(14, 29)(15, 32)(16, 31)(17, 40)(18, 39)(19, 38)(20, 37)(41, 63)(42, 66)(43, 61)(44, 70)(45, 69)(46, 62)(47, 74)(48, 73)(49, 65)(50, 64)(51, 78)(52, 77)(53, 68)(54, 67)(55, 80)(56, 79)(57, 72)(58, 71)(59, 76)(60, 75)
	local type(s) :: { ( 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 E8.128
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 22
	degree seq :: [ 20^4 ]

E8.131 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 10})
Quotient :: loop^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, Y3^5, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y2 ]
Map::
	R = (1, 21, 41, 61, 4, 24, 44, 64, 12, 32, 52, 72, 13, 33, 53, 73, 5, 25, 45, 65)(2, 22, 42, 62, 7, 27, 47, 67, 17, 37, 57, 77, 18, 38, 58, 78, 8, 28, 48, 68)(3, 23, 43, 63, 10, 30, 50, 70, 20, 40, 60, 80, 14, 34, 54, 74, 11, 31, 51, 71)(6, 26, 46, 66, 15, 35, 55, 75, 19, 39, 59, 79, 9, 29, 49, 69, 16, 36, 56, 76)
	L = (1, 22)(2, 21)(3, 29)(4, 28)(5, 27)(6, 34)(7, 25)(8, 24)(9, 23)(10, 39)(11, 36)(12, 38)(13, 37)(14, 26)(15, 40)(16, 31)(17, 33)(18, 32)(19, 30)(20, 35)(41, 63)(42, 66)(43, 61)(44, 71)(45, 70)(46, 62)(47, 76)(48, 75)(49, 77)(50, 65)(51, 64)(52, 74)(53, 80)(54, 72)(55, 68)(56, 67)(57, 69)(58, 79)(59, 78)(60, 73)
	local type(s) :: { ( 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 E8.129
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 22
	degree seq :: [ 20^4 ]

E8.132 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 10})
Quotient :: loop^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y3^5 ]
Map::
	R = (1, 21, 41, 61, 4, 24, 44, 64, 11, 31, 51, 71, 19, 39, 59, 79, 14, 34, 54, 74, 6, 26, 46, 66, 13, 33, 53, 73, 20, 40, 60, 80, 12, 32, 52, 72, 5, 25, 45, 65)(2, 22, 42, 62, 7, 27, 47, 67, 15, 35, 55, 75, 18, 38, 58, 78, 10, 30, 50, 70, 3, 23, 43, 63, 9, 29, 49, 69, 17, 37, 57, 77, 16, 36, 56, 76, 8, 28, 48, 68)
	L = (1, 22)(2, 21)(3, 26)(4, 28)(5, 27)(6, 23)(7, 25)(8, 24)(9, 34)(10, 33)(11, 36)(12, 35)(13, 30)(14, 29)(15, 32)(16, 31)(17, 39)(18, 40)(19, 37)(20, 38)(41, 63)(42, 66)(43, 61)(44, 70)(45, 69)(46, 62)(47, 74)(48, 73)(49, 65)(50, 64)(51, 78)(52, 77)(53, 68)(54, 67)(55, 79)(56, 80)(57, 72)(58, 71)(59, 75)(60, 76)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E8.126
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 24
	degree seq :: [ 40^2 ]

E8.133 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 10})
Quotient :: loop^2
Aut^+ = D20 (small group id <20, 4>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^3 * Y1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 ]
Map::
	R = (1, 21, 41, 61, 4, 24, 44, 64, 12, 32, 52, 72, 9, 29, 49, 69, 18, 38, 58, 78, 20, 40, 60, 80, 15, 35, 55, 75, 6, 26, 46, 66, 13, 33, 53, 73, 5, 25, 45, 65)(2, 22, 42, 62, 7, 27, 47, 67, 16, 36, 56, 76, 14, 34, 54, 74, 17, 37, 57, 77, 19, 39, 59, 79, 11, 31, 51, 71, 3, 23, 43, 63, 10, 30, 50, 70, 8, 28, 48, 68)
	L = (1, 22)(2, 21)(3, 29)(4, 28)(5, 27)(6, 34)(7, 25)(8, 24)(9, 23)(10, 32)(11, 38)(12, 30)(13, 36)(14, 26)(15, 37)(16, 33)(17, 35)(18, 31)(19, 40)(20, 39)(41, 63)(42, 66)(43, 61)(44, 71)(45, 70)(46, 62)(47, 75)(48, 73)(49, 77)(50, 65)(51, 64)(52, 79)(53, 68)(54, 78)(55, 67)(56, 80)(57, 69)(58, 74)(59, 72)(60, 76)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E8.127
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 24
	degree seq :: [ 40^2 ]

E8.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 6, 26)(4, 24, 7, 27)(5, 25, 8, 28)(9, 29, 13, 33)(10, 30, 14, 34)(11, 31, 15, 35)(12, 32, 16, 36)(17, 37, 19, 39)(18, 38, 20, 40)(41, 61, 43, 63, 49, 69, 52, 72, 45, 65)(42, 62, 46, 66, 53, 73, 56, 76, 48, 68)(44, 64, 50, 70, 57, 77, 58, 78, 51, 71)(47, 67, 54, 74, 59, 79, 60, 80, 55, 75)
	L = (1, 44)(2, 47)(3, 50)(4, 41)(5, 51)(6, 54)(7, 42)(8, 55)(9, 57)(10, 43)(11, 45)(12, 58)(13, 59)(14, 46)(15, 48)(16, 60)(17, 49)(18, 52)(19, 53)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.139
Graph:: simple bipartite
	v = 14 e = 40 f = 12
	degree seq :: [ 4^10, 10^4 ]

E8.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, 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, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 8, 28)(4, 24, 7, 27)(5, 25, 6, 26)(9, 29, 16, 36)(10, 30, 15, 35)(11, 31, 14, 34)(12, 32, 13, 33)(17, 37, 20, 40)(18, 38, 19, 39)(41, 61, 43, 63, 49, 69, 52, 72, 45, 65)(42, 62, 46, 66, 53, 73, 56, 76, 48, 68)(44, 64, 50, 70, 57, 77, 58, 78, 51, 71)(47, 67, 54, 74, 59, 79, 60, 80, 55, 75)
	L = (1, 44)(2, 47)(3, 50)(4, 41)(5, 51)(6, 54)(7, 42)(8, 55)(9, 57)(10, 43)(11, 45)(12, 58)(13, 59)(14, 46)(15, 48)(16, 60)(17, 49)(18, 52)(19, 53)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.140
Graph:: simple bipartite
	v = 14 e = 40 f = 12
	degree seq :: [ 4^10, 10^4 ]

E8.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^-1 * Y3^4, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 9, 29)(4, 24, 10, 30)(5, 25, 7, 27)(6, 26, 8, 28)(11, 31, 19, 39)(12, 32, 17, 37)(13, 33, 20, 40)(14, 34, 16, 36)(15, 35, 18, 38)(41, 61, 43, 63, 51, 71, 54, 74, 45, 65)(42, 62, 47, 67, 56, 76, 59, 79, 49, 69)(44, 64, 52, 72, 46, 66, 53, 73, 55, 75)(48, 68, 57, 77, 50, 70, 58, 78, 60, 80)
	L = (1, 44)(2, 48)(3, 52)(4, 54)(5, 55)(6, 41)(7, 57)(8, 59)(9, 60)(10, 42)(11, 46)(12, 45)(13, 43)(14, 53)(15, 51)(16, 50)(17, 49)(18, 47)(19, 58)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.142
Graph:: simple bipartite
	v = 14 e = 40 f = 12
	degree seq :: [ 4^10, 10^4 ]

E8.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 9, 29)(4, 24, 10, 30)(5, 25, 7, 27)(6, 26, 8, 28)(11, 31, 17, 37)(12, 32, 18, 38)(13, 33, 15, 35)(14, 34, 16, 36)(19, 39, 20, 40)(41, 61, 43, 63, 51, 71, 53, 73, 45, 65)(42, 62, 47, 67, 55, 75, 57, 77, 49, 69)(44, 64, 52, 72, 59, 79, 54, 74, 46, 66)(48, 68, 56, 76, 60, 80, 58, 78, 50, 70)
	L = (1, 44)(2, 48)(3, 52)(4, 43)(5, 46)(6, 41)(7, 56)(8, 47)(9, 50)(10, 42)(11, 59)(12, 51)(13, 54)(14, 45)(15, 60)(16, 55)(17, 58)(18, 49)(19, 53)(20, 57)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.141
Graph:: simple bipartite
	v = 14 e = 40 f = 12
	degree seq :: [ 4^10, 10^4 ]

E8.138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^5, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 9, 29)(4, 24, 10, 30)(5, 25, 7, 27)(6, 26, 8, 28)(11, 31, 18, 38)(12, 32, 17, 37)(13, 33, 16, 36)(14, 34, 15, 35)(19, 39, 20, 40)(41, 61, 43, 63, 51, 71, 54, 74, 45, 65)(42, 62, 47, 67, 55, 75, 58, 78, 49, 69)(44, 64, 46, 66, 52, 72, 59, 79, 53, 73)(48, 68, 50, 70, 56, 76, 60, 80, 57, 77)
	L = (1, 44)(2, 48)(3, 46)(4, 45)(5, 53)(6, 41)(7, 50)(8, 49)(9, 57)(10, 42)(11, 52)(12, 43)(13, 54)(14, 59)(15, 56)(16, 47)(17, 58)(18, 60)(19, 51)(20, 55)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.143
Graph:: simple bipartite
	v = 14 e = 40 f = 12
	degree seq :: [ 4^10, 10^4 ]

E8.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (Y3 * Y2)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, Y1^-5 * Y3, Y3 * Y2 * Y1^-2 * Y2 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 13, 33, 11, 31, 4, 24, 8, 28, 15, 35, 12, 32, 5, 25)(3, 23, 7, 27, 14, 34, 19, 39, 17, 37, 9, 29, 16, 36, 20, 40, 18, 38, 10, 30)(41, 61, 43, 63)(42, 62, 47, 67)(44, 64, 49, 69)(45, 65, 50, 70)(46, 66, 54, 74)(48, 68, 56, 76)(51, 71, 57, 77)(52, 72, 58, 78)(53, 73, 59, 79)(55, 75, 60, 80)
	L = (1, 44)(2, 48)(3, 49)(4, 41)(5, 51)(6, 55)(7, 56)(8, 42)(9, 43)(10, 57)(11, 45)(12, 53)(13, 52)(14, 60)(15, 46)(16, 47)(17, 50)(18, 59)(19, 58)(20, 54)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 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 E8.134
Graph:: bipartite
	v = 12 e = 40 f = 14
	degree seq :: [ 4^10, 20^2 ]

E8.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, Y3 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 13, 33, 11, 31, 4, 24, 8, 28, 15, 35, 12, 32, 5, 25)(3, 23, 9, 29, 17, 37, 20, 40, 16, 36, 10, 30, 18, 38, 19, 39, 14, 34, 7, 27)(41, 61, 43, 63)(42, 62, 47, 67)(44, 64, 50, 70)(45, 65, 49, 69)(46, 66, 54, 74)(48, 68, 56, 76)(51, 71, 58, 78)(52, 72, 57, 77)(53, 73, 59, 79)(55, 75, 60, 80)
	L = (1, 44)(2, 48)(3, 50)(4, 41)(5, 51)(6, 55)(7, 56)(8, 42)(9, 58)(10, 43)(11, 45)(12, 53)(13, 52)(14, 60)(15, 46)(16, 47)(17, 59)(18, 49)(19, 57)(20, 54)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 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 E8.135
Graph:: bipartite
	v = 12 e = 40 f = 14
	degree seq :: [ 4^10, 20^2 ]

E8.141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 5, 25, 9, 29, 13, 33, 17, 37, 16, 36, 12, 32, 8, 28, 4, 24)(3, 23, 7, 27, 11, 31, 15, 35, 19, 39, 20, 40, 18, 38, 14, 34, 10, 30, 6, 26)(41, 61, 43, 63)(42, 62, 46, 66)(44, 64, 47, 67)(45, 65, 50, 70)(48, 68, 51, 71)(49, 69, 54, 74)(52, 72, 55, 75)(53, 73, 58, 78)(56, 76, 59, 79)(57, 77, 60, 80)
	L = (1, 42)(2, 45)(3, 47)(4, 41)(5, 49)(6, 43)(7, 51)(8, 44)(9, 53)(10, 46)(11, 55)(12, 48)(13, 57)(14, 50)(15, 59)(16, 52)(17, 56)(18, 54)(19, 60)(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 ) }
Outer automorphisms :: reflexible
Dual of E8.137
Graph:: bipartite
	v = 12 e = 40 f = 14
	degree seq :: [ 4^10, 20^2 ]

E8.142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^-1 * Y3^2, Y3^-1 * Y1^-3, (R * Y1)^2, (Y3 * Y2)^2, (Y3, Y1^-1), (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 6, 26, 10, 30, 16, 36, 14, 34, 4, 24, 9, 29, 5, 25)(3, 23, 11, 31, 18, 38, 13, 33, 19, 39, 20, 40, 17, 37, 12, 32, 15, 35, 8, 28)(41, 61, 43, 63)(42, 62, 48, 68)(44, 64, 53, 73)(45, 65, 51, 71)(46, 66, 52, 72)(47, 67, 55, 75)(49, 69, 58, 78)(50, 70, 57, 77)(54, 74, 59, 79)(56, 76, 60, 80)
	L = (1, 44)(2, 49)(3, 52)(4, 50)(5, 54)(6, 41)(7, 45)(8, 57)(9, 56)(10, 42)(11, 55)(12, 59)(13, 43)(14, 46)(15, 60)(16, 47)(17, 53)(18, 48)(19, 51)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 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 E8.136
Graph:: bipartite
	v = 12 e = 40 f = 14
	degree seq :: [ 4^10, 20^2 ]

E8.143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 10})
Quotient :: dipole
Aut^+ = D20 (small group id <20, 4>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^-3, Y1^-1 * Y3^-3, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 4, 24, 9, 29, 16, 36, 14, 34, 6, 26, 10, 30, 5, 25)(3, 23, 11, 31, 17, 37, 12, 32, 19, 39, 20, 40, 18, 38, 13, 33, 15, 35, 8, 28)(41, 61, 43, 63)(42, 62, 48, 68)(44, 64, 53, 73)(45, 65, 51, 71)(46, 66, 52, 72)(47, 67, 55, 75)(49, 69, 58, 78)(50, 70, 57, 77)(54, 74, 59, 79)(56, 76, 60, 80)
	L = (1, 44)(2, 49)(3, 52)(4, 54)(5, 47)(6, 41)(7, 56)(8, 57)(9, 46)(10, 42)(11, 59)(12, 58)(13, 43)(14, 45)(15, 51)(16, 50)(17, 60)(18, 48)(19, 53)(20, 55)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 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 E8.138
Graph:: bipartite
	v = 12 e = 40 f = 14
	degree seq :: [ 4^10, 20^2 ]

E8.144 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 10, 10})
Quotient :: edge
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2, T2^2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-4 * 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, 16, 6, 15, 11, 19, 13, 5)(2, 7, 17, 20, 14, 12, 4, 10, 18, 8)(21, 22, 26, 34, 33, 38, 29, 37, 31, 24)(23, 27, 35, 32, 25, 28, 36, 40, 39, 30)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E8.145
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 20 f = 2
	degree seq :: [ 10^4 ]

E8.145 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 10, 10})
Quotient :: loop
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2 * T1^-1, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^2 * T1^8, (T1^-1 * T2^-1)^10 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 6, 26, 12, 32, 15, 35, 20, 40, 17, 37, 14, 34, 9, 29, 5, 25)(2, 22, 7, 27, 11, 31, 16, 36, 19, 39, 18, 38, 13, 33, 10, 30, 4, 24, 8, 28)
	L = (1, 22)(2, 26)(3, 27)(4, 21)(5, 28)(6, 31)(7, 32)(8, 23)(9, 24)(10, 25)(11, 35)(12, 36)(13, 29)(14, 30)(15, 39)(16, 40)(17, 33)(18, 34)(19, 37)(20, 38)
	local type(s) :: { ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E8.144
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 20 f = 4
	degree seq :: [ 20^2 ]

E8.146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, Y2^4 * Y1^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-2, Y1^10 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 14, 34, 13, 33, 18, 38, 9, 29, 17, 37, 11, 31, 4, 24)(3, 23, 7, 27, 15, 35, 12, 32, 5, 25, 8, 28, 16, 36, 20, 40, 19, 39, 10, 30)(41, 61, 43, 63, 49, 69, 56, 76, 46, 66, 55, 75, 51, 71, 59, 79, 53, 73, 45, 65)(42, 62, 47, 67, 57, 77, 60, 80, 54, 74, 52, 72, 44, 64, 50, 70, 58, 78, 48, 68)
	L = (1, 44)(2, 41)(3, 50)(4, 51)(5, 52)(6, 42)(7, 43)(8, 45)(9, 58)(10, 59)(11, 57)(12, 55)(13, 54)(14, 46)(15, 47)(16, 48)(17, 49)(18, 53)(19, 60)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 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 E8.147
Graph:: bipartite
	v = 4 e = 40 f = 22
	degree seq :: [ 20^4 ]

E8.147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-2 * Y3^-2, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y3^10, Y2^10, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)(41, 61, 42, 62, 46, 66, 51, 71, 55, 75, 59, 79, 57, 77, 54, 74, 49, 69, 44, 64)(43, 63, 47, 67, 45, 65, 48, 68, 52, 72, 56, 76, 60, 80, 58, 78, 53, 73, 50, 70)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 45)(7, 44)(8, 42)(9, 53)(10, 54)(11, 48)(12, 46)(13, 57)(14, 58)(15, 52)(16, 51)(17, 60)(18, 59)(19, 56)(20, 55)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 20 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E8.146
Graph:: simple bipartite
	v = 22 e = 40 f = 4
	degree seq :: [ 2^20, 20^2 ]

E8.148 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 20, 20})
Quotient :: edge
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1, T1^5, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 12, 4, 10, 17, 19, 11, 18, 20, 15, 6, 14, 16, 8, 2, 7, 13, 5)(21, 22, 26, 31, 24)(23, 27, 34, 38, 30)(25, 28, 35, 39, 32)(29, 33, 36, 40, 37)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 40^5 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E8.153
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 20 f = 1
	degree seq :: [ 5^4, 20 ]

E8.149 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 20, 20})
Quotient :: edge
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T1^-5, T1^5, T2^4 * T1^-2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 6, 14, 20, 12, 4, 10, 17, 8, 2, 7, 16, 19, 11, 18, 13, 5)(21, 22, 26, 31, 24)(23, 27, 34, 38, 30)(25, 28, 35, 39, 32)(29, 36, 40, 33, 37)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 40^5 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E8.152
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 20 f = 1
	degree seq :: [ 5^4, 20 ]

E8.150 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 20, 20})
Quotient :: edge
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T1)^2, (F * T2)^2, T1^-5, T1^5, T2^-4 * T1^-2, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 11, 20, 17, 8, 2, 7, 16, 12, 4, 10, 19, 15, 6, 14, 13, 5)(21, 22, 26, 31, 24)(23, 27, 34, 40, 30)(25, 28, 35, 38, 32)(29, 36, 33, 37, 39)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 40^5 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E8.154
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 20 f = 1
	degree seq :: [ 5^4, 20 ]

E8.151 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 20, 20})
Quotient :: edge
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^6, (T2^-1 * T1^-1)^5 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 20, 14, 8, 2, 7, 13, 19, 16, 10, 4, 6, 12, 18, 17, 11, 5)(21, 22, 26, 23, 27, 32, 29, 33, 38, 35, 39, 37, 40, 36, 31, 34, 30, 25, 28, 24)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E8.155
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 20 f = 4
	degree seq :: [ 20^2 ]

E8.152 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 20, 20})
Quotient :: loop
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1, T1^5, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 9, 29, 12, 32, 4, 24, 10, 30, 17, 37, 19, 39, 11, 31, 18, 38, 20, 40, 15, 35, 6, 26, 14, 34, 16, 36, 8, 28, 2, 22, 7, 27, 13, 33, 5, 25)
	L = (1, 22)(2, 26)(3, 27)(4, 21)(5, 28)(6, 31)(7, 34)(8, 35)(9, 33)(10, 23)(11, 24)(12, 25)(13, 36)(14, 38)(15, 39)(16, 40)(17, 29)(18, 30)(19, 32)(20, 37)
	local type(s) :: { ( 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.149
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 20 f = 5
	degree seq :: [ 40 ]

E8.153 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 20, 20})
Quotient :: loop
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T1^-5, T1^5, T2^4 * T1^-2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 9, 29, 15, 35, 6, 26, 14, 34, 20, 40, 12, 32, 4, 24, 10, 30, 17, 37, 8, 28, 2, 22, 7, 27, 16, 36, 19, 39, 11, 31, 18, 38, 13, 33, 5, 25)
	L = (1, 22)(2, 26)(3, 27)(4, 21)(5, 28)(6, 31)(7, 34)(8, 35)(9, 36)(10, 23)(11, 24)(12, 25)(13, 37)(14, 38)(15, 39)(16, 40)(17, 29)(18, 30)(19, 32)(20, 33)
	local type(s) :: { ( 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.148
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 20 f = 5
	degree seq :: [ 40 ]

E8.154 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 20, 20})
Quotient :: loop
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T1)^2, (F * T2)^2, T1^-5, T1^5, T2^-4 * T1^-2, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 9, 29, 18, 38, 11, 31, 20, 40, 17, 37, 8, 28, 2, 22, 7, 27, 16, 36, 12, 32, 4, 24, 10, 30, 19, 39, 15, 35, 6, 26, 14, 34, 13, 33, 5, 25)
	L = (1, 22)(2, 26)(3, 27)(4, 21)(5, 28)(6, 31)(7, 34)(8, 35)(9, 36)(10, 23)(11, 24)(12, 25)(13, 37)(14, 40)(15, 38)(16, 33)(17, 39)(18, 32)(19, 29)(20, 30)
	local type(s) :: { ( 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20, 5, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.150
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 20 f = 5
	degree seq :: [ 40 ]

E8.155 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 20, 20})
Quotient :: loop
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^4, T2^5 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 9, 29, 13, 33, 5, 25)(2, 22, 7, 27, 15, 35, 16, 36, 8, 28)(4, 24, 10, 30, 17, 37, 19, 39, 12, 32)(6, 26, 11, 31, 18, 38, 20, 40, 14, 34)
	L = (1, 22)(2, 26)(3, 27)(4, 21)(5, 28)(6, 32)(7, 31)(8, 34)(9, 35)(10, 23)(11, 24)(12, 25)(13, 36)(14, 39)(15, 38)(16, 40)(17, 29)(18, 30)(19, 33)(20, 37)
	local type(s) :: { ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E8.151
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 20 f = 2
	degree seq :: [ 10^4 ]

E8.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|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), Y2^4 * Y1, Y1^5, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 11, 31, 4, 24)(3, 23, 7, 27, 14, 34, 18, 38, 10, 30)(5, 25, 8, 28, 15, 35, 19, 39, 12, 32)(9, 29, 13, 33, 16, 36, 20, 40, 17, 37)(41, 61, 43, 63, 49, 69, 52, 72, 44, 64, 50, 70, 57, 77, 59, 79, 51, 71, 58, 78, 60, 80, 55, 75, 46, 66, 54, 74, 56, 76, 48, 68, 42, 62, 47, 67, 53, 73, 45, 65)
	L = (1, 44)(2, 41)(3, 50)(4, 51)(5, 52)(6, 42)(7, 43)(8, 45)(9, 57)(10, 58)(11, 46)(12, 59)(13, 49)(14, 47)(15, 48)(16, 53)(17, 60)(18, 54)(19, 55)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E8.162
Graph:: bipartite
	v = 5 e = 40 f = 21
	degree seq :: [ 10^4, 40 ]

E8.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y1^5, Y2^-1 * Y3 * Y2^-3 * Y1^-1, Y1^2 * Y2^-1 * Y1 * Y3^-2 * Y2, Y3^10, Y2^20 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 11, 31, 4, 24)(3, 23, 7, 27, 14, 34, 20, 40, 10, 30)(5, 25, 8, 28, 15, 35, 18, 38, 12, 32)(9, 29, 16, 36, 13, 33, 17, 37, 19, 39)(41, 61, 43, 63, 49, 69, 58, 78, 51, 71, 60, 80, 57, 77, 48, 68, 42, 62, 47, 67, 56, 76, 52, 72, 44, 64, 50, 70, 59, 79, 55, 75, 46, 66, 54, 74, 53, 73, 45, 65)
	L = (1, 44)(2, 41)(3, 50)(4, 51)(5, 52)(6, 42)(7, 43)(8, 45)(9, 59)(10, 60)(11, 46)(12, 58)(13, 56)(14, 47)(15, 48)(16, 49)(17, 53)(18, 55)(19, 57)(20, 54)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E8.163
Graph:: bipartite
	v = 5 e = 40 f = 21
	degree seq :: [ 10^4, 40 ]

E8.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^5, Y1^-1 * Y2^4 * Y1^-1, Y1 * Y2 * Y3^-1 * Y1^2 * Y2^-1 * Y3^-1, (Y1^-2 * Y3)^5, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 11, 31, 4, 24)(3, 23, 7, 27, 14, 34, 18, 38, 10, 30)(5, 25, 8, 28, 15, 35, 19, 39, 12, 32)(9, 29, 16, 36, 20, 40, 13, 33, 17, 37)(41, 61, 43, 63, 49, 69, 55, 75, 46, 66, 54, 74, 60, 80, 52, 72, 44, 64, 50, 70, 57, 77, 48, 68, 42, 62, 47, 67, 56, 76, 59, 79, 51, 71, 58, 78, 53, 73, 45, 65)
	L = (1, 44)(2, 41)(3, 50)(4, 51)(5, 52)(6, 42)(7, 43)(8, 45)(9, 57)(10, 58)(11, 46)(12, 59)(13, 60)(14, 47)(15, 48)(16, 49)(17, 53)(18, 54)(19, 55)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E8.161
Graph:: bipartite
	v = 5 e = 40 f = 21
	degree seq :: [ 10^4, 40 ]

E8.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^3 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3, Y1 * Y2^-1 * Y1^6, (Y3^-1 * Y1^-1)^5 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 12, 32, 18, 38, 15, 35, 9, 29, 3, 23, 7, 27, 13, 33, 19, 39, 17, 37, 11, 31, 5, 25, 8, 28, 14, 34, 20, 40, 16, 36, 10, 30, 4, 24)(41, 61, 43, 63, 48, 68, 42, 62, 47, 67, 54, 74, 46, 66, 53, 73, 60, 80, 52, 72, 59, 79, 56, 76, 58, 78, 57, 77, 50, 70, 55, 75, 51, 71, 44, 64, 49, 69, 45, 65)
	L = (1, 43)(2, 47)(3, 48)(4, 49)(5, 41)(6, 53)(7, 54)(8, 42)(9, 45)(10, 55)(11, 44)(12, 59)(13, 60)(14, 46)(15, 51)(16, 58)(17, 50)(18, 57)(19, 56)(20, 52)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E8.160
Graph:: bipartite
	v = 2 e = 40 f = 24
	degree seq :: [ 40^2 ]

E8.160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-4 * Y2, Y2^5, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)(41, 61, 42, 62, 46, 66, 51, 71, 44, 64)(43, 63, 47, 67, 54, 74, 57, 77, 50, 70)(45, 65, 48, 68, 55, 75, 58, 78, 52, 72)(49, 69, 56, 76, 60, 80, 59, 79, 53, 73)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 54)(7, 56)(8, 42)(9, 48)(10, 53)(11, 57)(12, 44)(13, 45)(14, 60)(15, 46)(16, 55)(17, 59)(18, 51)(19, 52)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40, 40 ), ( 40^10 ) }
Outer automorphisms :: reflexible
Dual of E8.159
Graph:: simple bipartite
	v = 24 e = 40 f = 2
	degree seq :: [ 2^20, 10^4 ]

E8.161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y1^2 * Y3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-3 * Y1^-1 * Y3^-2, (Y3 * Y2^-1)^5 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 12, 32, 5, 25, 8, 28, 14, 34, 19, 39, 13, 33, 16, 36, 20, 40, 17, 37, 9, 29, 15, 35, 18, 38, 10, 30, 3, 23, 7, 27, 11, 31, 4, 24)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(47, 67)(48, 68)(49, 69)(50, 70)(51, 71)(52, 72)(53, 73)(54, 74)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 51)(7, 55)(8, 42)(9, 53)(10, 57)(11, 58)(12, 44)(13, 45)(14, 46)(15, 56)(16, 48)(17, 59)(18, 60)(19, 52)(20, 54)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E8.158
Graph:: bipartite
	v = 21 e = 40 f = 5
	degree seq :: [ 2^20, 40 ]

E8.162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y3^5, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y1^-4 * Y3^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^2 * Y1^2, (Y3 * Y2^-1)^5 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 14, 34, 9, 29, 17, 37, 19, 39, 12, 32, 5, 25, 8, 28, 16, 36, 10, 30, 3, 23, 7, 27, 15, 35, 20, 40, 13, 33, 18, 38, 11, 31, 4, 24)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(47, 67)(48, 68)(49, 69)(50, 70)(51, 71)(52, 72)(53, 73)(54, 74)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 55)(7, 57)(8, 42)(9, 53)(10, 54)(11, 56)(12, 44)(13, 45)(14, 60)(15, 59)(16, 46)(17, 58)(18, 48)(19, 51)(20, 52)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E8.156
Graph:: bipartite
	v = 21 e = 40 f = 5
	degree seq :: [ 2^20, 40 ]

E8.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y3^5, Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 14, 34, 13, 33, 18, 38, 20, 40, 10, 30, 3, 23, 7, 27, 15, 35, 12, 32, 5, 25, 8, 28, 16, 36, 19, 39, 9, 29, 17, 37, 11, 31, 4, 24)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(47, 67)(48, 68)(49, 69)(50, 70)(51, 71)(52, 72)(53, 73)(54, 74)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 55)(7, 57)(8, 42)(9, 53)(10, 59)(11, 60)(12, 44)(13, 45)(14, 52)(15, 51)(16, 46)(17, 58)(18, 48)(19, 54)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E8.157
Graph:: bipartite
	v = 21 e = 40 f = 5
	degree seq :: [ 2^20, 40 ]

E8.164 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = C7 : C3 (small group id <21, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, Y2^3, (Y3, Y1^-1), R * Y1 * R * Y2, R * Y3 * R * Y3^-1, (Y3 * Y2^-1)^3, (Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 22, 2, 23, 4, 25)(3, 24, 8, 29, 9, 30)(5, 26, 12, 33, 13, 34)(6, 27, 14, 35, 15, 36)(7, 28, 16, 37, 17, 38)(10, 31, 19, 40, 20, 41)(11, 32, 18, 39, 21, 42)(43, 64, 45, 66, 47, 68)(44, 65, 48, 69, 49, 70)(46, 67, 52, 73, 53, 74)(50, 71, 57, 78, 60, 81)(51, 72, 58, 79, 61, 82)(54, 75, 56, 77, 62, 83)(55, 76, 63, 84, 59, 80)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: bipartite
	v = 14 e = 42 f = 14
	degree seq :: [ 6^14 ]

E8.165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y1 * Y3^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 6, 30)(5, 29, 8, 32)(9, 33, 10, 34)(11, 35, 15, 39)(12, 36, 16, 40)(13, 37, 14, 38)(17, 41, 19, 43)(18, 42, 20, 44)(21, 45, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 56, 80)(52, 76, 59, 83, 60, 84)(54, 78, 63, 87, 64, 88)(57, 81, 65, 89, 66, 90)(58, 82, 67, 91, 68, 92)(61, 85, 71, 95, 69, 93)(62, 86, 72, 96, 70, 94)
	L = (1, 52)(2, 54)(3, 57)(4, 50)(5, 61)(6, 49)(7, 58)(8, 62)(9, 55)(10, 51)(11, 69)(12, 67)(13, 56)(14, 53)(15, 70)(16, 65)(17, 60)(18, 72)(19, 64)(20, 71)(21, 63)(22, 59)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.166
Graph:: simple bipartite
	v = 20 e = 48 f = 14
	degree seq :: [ 4^12, 6^8 ]

E8.166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2^-1 * Y3^-1, Y1^3, R * Y2 * R * Y3^-1, Y2^4, (R * Y1)^2, (Y3 * Y2^-1)^2, Y2^2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 10, 34)(4, 28, 11, 35, 12, 36)(6, 30, 15, 39, 17, 41)(7, 31, 18, 42, 19, 43)(9, 33, 16, 40, 22, 46)(13, 37, 23, 47, 20, 44)(14, 38, 24, 48, 21, 45)(49, 73, 51, 75, 57, 81, 52, 76)(50, 74, 54, 78, 64, 88, 55, 79)(53, 77, 61, 85, 70, 94, 62, 86)(56, 80, 68, 92, 59, 83, 69, 93)(58, 82, 66, 90, 60, 84, 63, 87)(65, 89, 72, 96, 67, 91, 71, 95)
	L = (1, 52)(2, 55)(3, 49)(4, 57)(5, 62)(6, 50)(7, 64)(8, 69)(9, 51)(10, 63)(11, 68)(12, 66)(13, 53)(14, 70)(15, 60)(16, 54)(17, 71)(18, 58)(19, 72)(20, 56)(21, 59)(22, 61)(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) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.165
Graph:: bipartite
	v = 14 e = 48 f = 20
	degree seq :: [ 6^8, 8^6 ]

E8.167 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 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^-1 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^2, Y3^4, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 25, 4, 28, 12, 36, 7, 31)(2, 26, 9, 33, 6, 30, 11, 35)(3, 27, 13, 37, 20, 44, 15, 39)(5, 29, 18, 42, 10, 34, 16, 40)(8, 32, 21, 45, 23, 47, 22, 46)(14, 38, 17, 41, 19, 43, 24, 48)(49, 50, 53)(51, 60, 62)(52, 64, 65)(54, 68, 56)(55, 63, 57)(58, 71, 67)(59, 70, 66)(61, 72, 69)(73, 75, 78)(74, 80, 82)(76, 81, 90)(77, 91, 84)(79, 89, 85)(83, 87, 93)(86, 95, 92)(88, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^3 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E8.173
Graph:: simple bipartite
	v = 22 e = 48 f = 12
	degree seq :: [ 3^16, 8^6 ]

E8.168 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 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, (Y3^-1 * Y2)^2, Y2^-1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^2, (Y2 * Y1)^2, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 4, 28, 12, 36, 7, 31)(2, 26, 9, 33, 6, 30, 11, 35)(3, 27, 13, 37, 20, 44, 15, 39)(5, 29, 18, 42, 10, 34, 19, 43)(8, 32, 21, 45, 23, 47, 22, 46)(14, 38, 24, 48, 17, 41, 16, 40)(49, 50, 53)(51, 60, 62)(52, 61, 59)(54, 68, 56)(55, 66, 64)(57, 69, 67)(58, 71, 65)(63, 72, 70)(73, 75, 78)(74, 80, 82)(76, 88, 87)(77, 89, 84)(79, 83, 91)(81, 85, 94)(86, 95, 92)(90, 93, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^3 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E8.174
Graph:: simple bipartite
	v = 22 e = 48 f = 12
	degree seq :: [ 3^16, 8^6 ]

E8.169 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 4})
Quotient :: edge^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1 * Y3)^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 4, 28)(2, 26, 8, 32)(3, 27, 11, 35)(5, 29, 13, 37)(6, 30, 14, 38)(7, 31, 17, 41)(9, 33, 18, 42)(10, 34, 20, 44)(12, 36, 21, 45)(15, 39, 22, 46)(16, 40, 23, 47)(19, 43, 24, 48)(49, 50, 53)(51, 58, 60)(52, 61, 56)(54, 64, 55)(57, 67, 63)(59, 69, 68)(62, 65, 71)(66, 70, 72)(73, 75, 78)(74, 79, 81)(76, 86, 83)(77, 87, 82)(80, 90, 89)(84, 91, 88)(85, 92, 94)(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) :: { ( 16^3 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E8.171
Graph:: simple bipartite
	v = 28 e = 48 f = 6
	degree seq :: [ 3^16, 4^12 ]

E8.170 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 4})
Quotient :: edge^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, Y3 * Y2 * Y3 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 4, 28)(2, 26, 8, 32)(3, 27, 11, 35)(5, 29, 14, 38)(6, 30, 13, 37)(7, 31, 17, 41)(9, 33, 18, 42)(10, 34, 20, 44)(12, 36, 21, 45)(15, 39, 23, 47)(16, 40, 22, 46)(19, 43, 24, 48)(49, 50, 53)(51, 58, 60)(52, 59, 61)(54, 64, 55)(56, 65, 66)(57, 67, 63)(62, 71, 68)(69, 72, 70)(73, 75, 78)(74, 79, 81)(76, 80, 86)(77, 87, 82)(83, 92, 93)(84, 91, 88)(85, 94, 89)(90, 96, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^3 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E8.172
Graph:: simple bipartite
	v = 28 e = 48 f = 6
	degree seq :: [ 3^16, 4^12 ]

E8.171 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 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^-1 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^2, Y3^4, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 7, 31, 55, 79)(2, 26, 50, 74, 9, 33, 57, 81, 6, 30, 54, 78, 11, 35, 59, 83)(3, 27, 51, 75, 13, 37, 61, 85, 20, 44, 68, 92, 15, 39, 63, 87)(5, 29, 53, 77, 18, 42, 66, 90, 10, 34, 58, 82, 16, 40, 64, 88)(8, 32, 56, 80, 21, 45, 69, 93, 23, 47, 71, 95, 22, 46, 70, 94)(14, 38, 62, 86, 17, 41, 65, 89, 19, 43, 67, 91, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 36)(4, 40)(5, 25)(6, 44)(7, 39)(8, 30)(9, 31)(10, 47)(11, 46)(12, 38)(13, 48)(14, 27)(15, 33)(16, 41)(17, 28)(18, 35)(19, 34)(20, 32)(21, 37)(22, 42)(23, 43)(24, 45)(49, 75)(50, 80)(51, 78)(52, 81)(53, 91)(54, 73)(55, 89)(56, 82)(57, 90)(58, 74)(59, 87)(60, 77)(61, 79)(62, 95)(63, 93)(64, 94)(65, 85)(66, 76)(67, 84)(68, 86)(69, 83)(70, 96)(71, 92)(72, 88)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.169
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 28
	degree seq :: [ 16^6 ]

E8.172 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 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, (Y3^-1 * Y2)^2, Y2^-1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^2, (Y2 * Y1)^2, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 7, 31, 55, 79)(2, 26, 50, 74, 9, 33, 57, 81, 6, 30, 54, 78, 11, 35, 59, 83)(3, 27, 51, 75, 13, 37, 61, 85, 20, 44, 68, 92, 15, 39, 63, 87)(5, 29, 53, 77, 18, 42, 66, 90, 10, 34, 58, 82, 19, 43, 67, 91)(8, 32, 56, 80, 21, 45, 69, 93, 23, 47, 71, 95, 22, 46, 70, 94)(14, 38, 62, 86, 24, 48, 72, 96, 17, 41, 65, 89, 16, 40, 64, 88)
	L = (1, 26)(2, 29)(3, 36)(4, 37)(5, 25)(6, 44)(7, 42)(8, 30)(9, 45)(10, 47)(11, 28)(12, 38)(13, 35)(14, 27)(15, 48)(16, 31)(17, 34)(18, 40)(19, 33)(20, 32)(21, 43)(22, 39)(23, 41)(24, 46)(49, 75)(50, 80)(51, 78)(52, 88)(53, 89)(54, 73)(55, 83)(56, 82)(57, 85)(58, 74)(59, 91)(60, 77)(61, 94)(62, 95)(63, 76)(64, 87)(65, 84)(66, 93)(67, 79)(68, 86)(69, 96)(70, 81)(71, 92)(72, 90)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.170
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 28
	degree seq :: [ 16^6 ]

E8.173 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 4})
Quotient :: loop^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1 * Y3)^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 8, 32, 56, 80)(3, 27, 51, 75, 11, 35, 59, 83)(5, 29, 53, 77, 13, 37, 61, 85)(6, 30, 54, 78, 14, 38, 62, 86)(7, 31, 55, 79, 17, 41, 65, 89)(9, 33, 57, 81, 18, 42, 66, 90)(10, 34, 58, 82, 20, 44, 68, 92)(12, 36, 60, 84, 21, 45, 69, 93)(15, 39, 63, 87, 22, 46, 70, 94)(16, 40, 64, 88, 23, 47, 71, 95)(19, 43, 67, 91, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 34)(4, 37)(5, 25)(6, 40)(7, 30)(8, 28)(9, 43)(10, 36)(11, 45)(12, 27)(13, 32)(14, 41)(15, 33)(16, 31)(17, 47)(18, 46)(19, 39)(20, 35)(21, 44)(22, 48)(23, 38)(24, 42)(49, 75)(50, 79)(51, 78)(52, 86)(53, 87)(54, 73)(55, 81)(56, 90)(57, 74)(58, 77)(59, 76)(60, 91)(61, 92)(62, 83)(63, 82)(64, 84)(65, 80)(66, 89)(67, 88)(68, 94)(69, 95)(70, 85)(71, 96)(72, 93)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.167
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 22
	degree seq :: [ 8^12 ]

E8.174 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 4})
Quotient :: loop^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, Y3 * Y2 * Y3 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 8, 32, 56, 80)(3, 27, 51, 75, 11, 35, 59, 83)(5, 29, 53, 77, 14, 38, 62, 86)(6, 30, 54, 78, 13, 37, 61, 85)(7, 31, 55, 79, 17, 41, 65, 89)(9, 33, 57, 81, 18, 42, 66, 90)(10, 34, 58, 82, 20, 44, 68, 92)(12, 36, 60, 84, 21, 45, 69, 93)(15, 39, 63, 87, 23, 47, 71, 95)(16, 40, 64, 88, 22, 46, 70, 94)(19, 43, 67, 91, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 34)(4, 35)(5, 25)(6, 40)(7, 30)(8, 41)(9, 43)(10, 36)(11, 37)(12, 27)(13, 28)(14, 47)(15, 33)(16, 31)(17, 42)(18, 32)(19, 39)(20, 38)(21, 48)(22, 45)(23, 44)(24, 46)(49, 75)(50, 79)(51, 78)(52, 80)(53, 87)(54, 73)(55, 81)(56, 86)(57, 74)(58, 77)(59, 92)(60, 91)(61, 94)(62, 76)(63, 82)(64, 84)(65, 85)(66, 96)(67, 88)(68, 93)(69, 83)(70, 89)(71, 90)(72, 95)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.168
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 22
	degree seq :: [ 8^12 ]

E8.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1)^4, Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * 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, 18, 42)(12, 36, 19, 43)(13, 37, 20, 44)(14, 38, 15, 39)(16, 40, 21, 45)(17, 41, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 52, 76)(50, 74, 53, 77, 54, 78)(55, 79, 59, 83, 60, 84)(56, 80, 61, 85, 62, 86)(57, 81, 63, 87, 64, 88)(58, 82, 65, 89, 66, 90)(67, 91, 71, 95, 68, 92)(69, 93, 72, 96, 70, 94)
	L = (1, 52)(2, 54)(3, 49)(4, 51)(5, 50)(6, 53)(7, 60)(8, 62)(9, 64)(10, 66)(11, 55)(12, 59)(13, 56)(14, 61)(15, 57)(16, 63)(17, 58)(18, 65)(19, 68)(20, 71)(21, 70)(22, 72)(23, 67)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.177
Graph:: bipartite
	v = 20 e = 48 f = 14
	degree seq :: [ 4^12, 6^8 ]

E8.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2 * Y1)^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3 ]
Map:: polytopal 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, 15, 39)(10, 34, 12, 36)(11, 35, 23, 47)(14, 38, 20, 44)(16, 40, 22, 46)(18, 42, 21, 45)(19, 43, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 62, 86, 63, 87)(54, 78, 66, 90, 59, 83)(56, 80, 68, 92, 61, 85)(58, 82, 70, 94, 67, 91)(60, 84, 72, 96, 64, 88)(65, 89, 71, 95, 69, 93)
	L = (1, 52)(2, 56)(3, 59)(4, 54)(5, 64)(6, 49)(7, 67)(8, 58)(9, 69)(10, 50)(11, 60)(12, 51)(13, 71)(14, 53)(15, 72)(16, 62)(17, 55)(18, 63)(19, 65)(20, 57)(21, 68)(22, 61)(23, 70)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.178
Graph:: simple bipartite
	v = 20 e = 48 f = 14
	degree seq :: [ 4^12, 6^8 ]

E8.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 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^-1 * Y1, Y1^3, Y1^3, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	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, 50)(2, 52)(3, 56)(4, 49)(5, 58)(6, 61)(7, 51)(8, 55)(9, 65)(10, 60)(11, 54)(12, 53)(13, 59)(14, 63)(15, 69)(16, 57)(17, 64)(18, 68)(19, 66)(20, 67)(21, 62)(22, 71)(23, 72)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.175
Graph:: bipartite
	v = 14 e = 48 f = 20
	degree seq :: [ 6^8, 8^6 ]

E8.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 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 * Y3^-1 * Y1 * Y2, (Y1^-1 * Y3)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2^-1 * 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, 15, 39)(4, 28, 16, 40, 11, 35)(6, 30, 18, 42, 8, 32)(7, 31, 13, 37, 20, 44)(9, 33, 21, 45, 17, 41)(10, 34, 22, 46, 14, 38)(19, 43, 24, 48, 23, 47)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 56, 80, 52, 76, 58, 82)(53, 77, 62, 86, 57, 81, 60, 84)(55, 79, 67, 91, 64, 88, 66, 90)(59, 83, 71, 95, 69, 93, 70, 94)(63, 87, 65, 89, 72, 96, 68, 92)
	L = (1, 52)(2, 57)(3, 62)(4, 55)(5, 61)(6, 67)(7, 49)(8, 51)(9, 59)(10, 71)(11, 50)(12, 72)(13, 65)(14, 56)(15, 54)(16, 69)(17, 53)(18, 58)(19, 63)(20, 64)(21, 68)(22, 60)(23, 66)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.176
Graph:: bipartite
	v = 14 e = 48 f = 20
	degree seq :: [ 6^8, 8^6 ]

E8.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, Y2 * Y3^-2, (Y1 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 6, 30)(4, 28, 9, 33)(5, 29, 10, 34)(7, 31, 11, 35)(8, 32, 12, 36)(13, 37, 17, 41)(14, 38, 18, 42)(15, 39, 19, 43)(16, 40, 20, 44)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75)(50, 74, 54, 78)(52, 76, 53, 77)(55, 79, 56, 80)(57, 81, 58, 82)(59, 83, 60, 84)(61, 85, 62, 86)(63, 87, 64, 88)(65, 89, 66, 90)(67, 91, 68, 92)(69, 93, 70, 94)(71, 95, 72, 96)
	L = (1, 52)(2, 55)(3, 53)(4, 51)(5, 49)(6, 56)(7, 54)(8, 50)(9, 61)(10, 62)(11, 63)(12, 64)(13, 58)(14, 57)(15, 60)(16, 59)(17, 69)(18, 70)(19, 71)(20, 72)(21, 66)(22, 65)(23, 68)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.190
Graph:: simple bipartite
	v = 24 e = 48 f = 10
	degree seq :: [ 4^24 ]

E8.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y1, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y2)^4, Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1, (Y2 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 9, 33)(5, 29, 11, 35)(6, 30, 13, 37)(8, 32, 16, 40)(10, 34, 19, 43)(12, 36, 21, 45)(14, 38, 24, 48)(15, 39, 20, 44)(17, 41, 23, 47)(18, 42, 22, 46)(49, 73, 51, 75)(50, 74, 53, 77)(52, 76, 58, 82)(54, 78, 62, 86)(55, 79, 63, 87)(56, 80, 65, 89)(57, 81, 64, 88)(59, 83, 68, 92)(60, 84, 70, 94)(61, 85, 69, 93)(66, 90, 72, 96)(67, 91, 71, 95)
	L = (1, 52)(2, 54)(3, 56)(4, 49)(5, 60)(6, 50)(7, 62)(8, 51)(9, 66)(10, 59)(11, 58)(12, 53)(13, 71)(14, 55)(15, 70)(16, 69)(17, 68)(18, 57)(19, 72)(20, 65)(21, 64)(22, 63)(23, 61)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.189
Graph:: simple bipartite
	v = 24 e = 48 f = 10
	degree seq :: [ 4^24 ]

E8.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
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 * Y2^-1, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 10, 34)(5, 29, 7, 31)(6, 30, 8, 32)(11, 35, 16, 40)(12, 36, 20, 44)(13, 37, 19, 43)(14, 38, 18, 42)(15, 39, 17, 41)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 60, 84, 69, 93, 62, 86)(54, 78, 61, 85, 70, 94, 63, 87)(56, 80, 65, 89, 71, 95, 67, 91)(58, 82, 66, 90, 72, 96, 68, 92)
	L = (1, 52)(2, 56)(3, 60)(4, 61)(5, 62)(6, 49)(7, 65)(8, 66)(9, 67)(10, 50)(11, 69)(12, 70)(13, 51)(14, 54)(15, 53)(16, 71)(17, 72)(18, 55)(19, 58)(20, 57)(21, 63)(22, 59)(23, 68)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.185
Graph:: simple bipartite
	v = 18 e = 48 f = 16
	degree seq :: [ 4^12, 8^6 ]

E8.182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, Y2 * Y1 * Y2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 5, 29)(4, 28, 6, 30)(7, 31, 10, 34)(8, 32, 9, 33)(11, 35, 12, 36)(13, 37, 14, 38)(15, 39, 16, 40)(17, 41, 18, 42)(19, 43, 20, 44)(21, 45, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 50, 74, 53, 77)(52, 76, 56, 80, 54, 78, 57, 81)(55, 79, 59, 83, 58, 82, 60, 84)(61, 85, 65, 89, 62, 86, 66, 90)(63, 87, 67, 91, 64, 88, 68, 92)(69, 93, 72, 96, 70, 94, 71, 95)
	L = (1, 52)(2, 54)(3, 55)(4, 49)(5, 58)(6, 50)(7, 51)(8, 61)(9, 62)(10, 53)(11, 63)(12, 64)(13, 56)(14, 57)(15, 59)(16, 60)(17, 69)(18, 70)(19, 71)(20, 72)(21, 65)(22, 66)(23, 67)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.187
Graph:: bipartite
	v = 18 e = 48 f = 16
	degree seq :: [ 4^12, 8^6 ]

E8.183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3 * Y1, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 7, 31)(5, 29, 10, 34)(6, 30, 11, 35)(8, 32, 12, 36)(13, 37, 17, 41)(14, 38, 18, 42)(15, 39, 19, 43)(16, 40, 20, 44)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 55, 79, 53, 77)(50, 74, 54, 78, 52, 76, 56, 80)(57, 81, 61, 85, 58, 82, 62, 86)(59, 83, 63, 87, 60, 84, 64, 88)(65, 89, 69, 93, 66, 90, 70, 94)(67, 91, 71, 95, 68, 92, 72, 96)
	L = (1, 52)(2, 55)(3, 58)(4, 49)(5, 57)(6, 60)(7, 50)(8, 59)(9, 53)(10, 51)(11, 56)(12, 54)(13, 66)(14, 65)(15, 68)(16, 67)(17, 62)(18, 61)(19, 64)(20, 63)(21, 71)(22, 72)(23, 69)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.186
Graph:: bipartite
	v = 18 e = 48 f = 16
	degree seq :: [ 4^12, 8^6 ]

E8.184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2 * Y2, (Y3^-1 * R)^2, Y3^4, (R * Y1)^2, (Y2 * Y1)^2, Y3^-1 * Y2^-2 * Y3^-1, (Y3^-1 * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 10, 34)(5, 29, 7, 31)(6, 30, 8, 32)(11, 35, 16, 40)(12, 36, 17, 41)(13, 37, 18, 42)(14, 38, 19, 43)(15, 39, 20, 44)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 62, 86, 54, 78, 63, 87)(56, 80, 67, 91, 58, 82, 68, 92)(60, 84, 69, 93, 61, 85, 70, 94)(65, 89, 71, 95, 66, 90, 72, 96)
	L = (1, 52)(2, 56)(3, 60)(4, 59)(5, 61)(6, 49)(7, 65)(8, 64)(9, 66)(10, 50)(11, 54)(12, 53)(13, 51)(14, 70)(15, 69)(16, 58)(17, 57)(18, 55)(19, 72)(20, 71)(21, 62)(22, 63)(23, 67)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.188
Graph:: simple bipartite
	v = 18 e = 48 f = 16
	degree seq :: [ 4^12, 8^6 ]

E8.185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1 * Y3^-2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 13, 37, 5, 29)(3, 27, 10, 34, 19, 43, 22, 46, 16, 40, 8, 32)(4, 28, 9, 33, 17, 41, 21, 45, 14, 38, 6, 30)(11, 35, 20, 44, 24, 48, 23, 47, 18, 42, 12, 36)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 60, 84)(53, 77, 58, 82)(54, 78, 59, 83)(55, 79, 64, 88)(57, 81, 66, 90)(61, 85, 67, 91)(62, 86, 68, 92)(63, 87, 70, 94)(65, 89, 71, 95)(69, 93, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 50)(5, 54)(6, 49)(7, 65)(8, 60)(9, 55)(10, 68)(11, 58)(12, 51)(13, 62)(14, 53)(15, 69)(16, 66)(17, 63)(18, 56)(19, 72)(20, 67)(21, 61)(22, 71)(23, 64)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.181
Graph:: simple bipartite
	v = 16 e = 48 f = 18
	degree seq :: [ 4^12, 12^4 ]

E8.186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, Y2 * Y1 * Y3 * Y1 * Y3, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 15, 39, 14, 38, 5, 29)(3, 27, 7, 31, 16, 40, 22, 46, 19, 43, 10, 34)(4, 28, 11, 35, 20, 44, 24, 48, 17, 41, 12, 36)(8, 32, 9, 33, 13, 37, 21, 45, 23, 47, 18, 42)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 57, 81)(53, 77, 58, 82)(54, 78, 64, 88)(56, 80, 60, 84)(59, 83, 61, 85)(62, 86, 67, 91)(63, 87, 70, 94)(65, 89, 66, 90)(68, 92, 69, 93)(71, 95, 72, 96)
	L = (1, 52)(2, 56)(3, 57)(4, 49)(5, 61)(6, 65)(7, 60)(8, 50)(9, 51)(10, 59)(11, 58)(12, 55)(13, 53)(14, 68)(15, 71)(16, 66)(17, 54)(18, 64)(19, 69)(20, 62)(21, 67)(22, 72)(23, 63)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.183
Graph:: simple bipartite
	v = 16 e = 48 f = 18
	degree seq :: [ 4^12, 12^4 ]

E8.187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y3, (Y3 * Y2)^2, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26, 6, 30, 13, 37, 12, 36, 5, 29)(3, 27, 9, 33, 17, 41, 21, 45, 14, 38, 8, 32)(4, 28, 11, 35, 19, 43, 20, 44, 15, 39, 7, 31)(10, 34, 16, 40, 22, 46, 24, 48, 23, 47, 18, 42)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 58, 82)(53, 77, 59, 83)(54, 78, 62, 86)(56, 80, 64, 88)(57, 81, 66, 90)(60, 84, 65, 89)(61, 85, 68, 92)(63, 87, 70, 94)(67, 91, 71, 95)(69, 93, 72, 96)
	L = (1, 52)(2, 56)(3, 58)(4, 49)(5, 57)(6, 63)(7, 64)(8, 50)(9, 53)(10, 51)(11, 66)(12, 67)(13, 69)(14, 70)(15, 54)(16, 55)(17, 71)(18, 59)(19, 60)(20, 72)(21, 61)(22, 62)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.182
Graph:: simple bipartite
	v = 16 e = 48 f = 18
	degree seq :: [ 4^12, 12^4 ]

E8.188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y1 * Y2)^2, Y3^4, Y3 * Y1^-2 * Y3 * Y1, (R * Y2 * Y3^-1)^2 ]
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, 61, 85)(53, 77, 59, 83)(54, 78, 60, 84)(55, 79, 66, 90)(57, 81, 68, 92)(58, 82, 67, 91)(62, 86, 71, 95)(63, 87, 72, 96)(64, 88, 69, 93)(65, 89, 70, 94)
	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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.184
Graph:: simple bipartite
	v = 16 e = 48 f = 18
	degree seq :: [ 4^12, 12^4 ]

E8.189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2^-1 * Y3)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^-2 * Y2^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 10, 34, 17, 41, 13, 37)(4, 28, 14, 38, 18, 42, 9, 33)(6, 30, 8, 32, 11, 35, 16, 40)(12, 36, 22, 46, 24, 48, 20, 44)(15, 39, 23, 47, 21, 45, 19, 43)(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, 63, 87, 72, 96, 66, 90, 69, 93, 60, 84)(57, 81, 68, 92, 71, 95, 62, 86, 70, 94, 67, 91)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 63)(7, 66)(8, 67)(9, 50)(10, 68)(11, 69)(12, 51)(13, 70)(14, 53)(15, 54)(16, 71)(17, 72)(18, 55)(19, 56)(20, 58)(21, 59)(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) :: { ( 4^8 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E8.180
Graph:: bipartite
	v = 10 e = 48 f = 24
	degree seq :: [ 8^6, 12^4 ]

E8.190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y1^-1, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^4, (Y2^-1 * Y1)^2, (Y1^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 9, 33, 13, 37, 8, 32)(5, 29, 11, 35, 14, 38, 7, 31)(10, 34, 16, 40, 20, 44, 17, 41)(12, 36, 15, 39, 21, 45, 19, 43)(18, 42, 23, 47, 24, 48, 22, 46)(49, 73, 51, 75, 58, 82, 66, 90, 60, 84, 53, 77)(50, 74, 55, 79, 63, 87, 70, 94, 64, 88, 56, 80)(52, 76, 59, 83, 67, 91, 71, 95, 65, 89, 57, 81)(54, 78, 61, 85, 68, 92, 72, 96, 69, 93, 62, 86)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 59)(6, 52)(7, 53)(8, 51)(9, 61)(10, 64)(11, 62)(12, 63)(13, 56)(14, 55)(15, 69)(16, 68)(17, 58)(18, 71)(19, 60)(20, 65)(21, 67)(22, 66)(23, 72)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4^8 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E8.179
Graph:: bipartite
	v = 10 e = 48 f = 24
	degree seq :: [ 8^6, 12^4 ]

E8.191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y3)^2, Y3^-1 * Y2^2 * Y3^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 10, 34)(5, 29, 17, 41)(6, 30, 8, 32)(7, 31, 18, 42)(9, 33, 24, 48)(12, 36, 19, 43)(13, 37, 22, 46)(14, 38, 23, 47)(15, 39, 20, 44)(16, 40, 21, 45)(49, 73, 51, 75, 60, 84, 53, 77)(50, 74, 55, 79, 67, 91, 57, 81)(52, 76, 63, 87, 54, 78, 64, 88)(56, 80, 70, 94, 58, 82, 71, 95)(59, 83, 68, 92, 65, 89, 69, 93)(61, 85, 72, 96, 62, 86, 66, 90)
	L = (1, 52)(2, 56)(3, 61)(4, 60)(5, 62)(6, 49)(7, 68)(8, 67)(9, 69)(10, 50)(11, 71)(12, 54)(13, 53)(14, 51)(15, 66)(16, 72)(17, 70)(18, 64)(19, 58)(20, 57)(21, 55)(22, 59)(23, 65)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.192
Graph:: simple bipartite
	v = 18 e = 48 f = 16
	degree seq :: [ 4^12, 8^6 ]

E8.192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^4, Y3 * Y1^-2 * Y3 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 16, 40, 5, 29)(3, 27, 8, 32, 18, 42, 22, 46, 23, 47, 12, 36)(4, 28, 14, 38, 10, 34, 6, 30, 17, 41, 9, 33)(11, 35, 21, 45, 20, 44, 13, 37, 24, 48, 19, 43)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 61, 85)(53, 77, 60, 84)(54, 78, 59, 83)(55, 79, 66, 90)(57, 81, 68, 92)(58, 82, 67, 91)(62, 86, 72, 96)(63, 87, 70, 94)(64, 88, 71, 95)(65, 89, 69, 93)
	L = (1, 52)(2, 57)(3, 59)(4, 63)(5, 62)(6, 49)(7, 65)(8, 67)(9, 64)(10, 50)(11, 70)(12, 69)(13, 51)(14, 55)(15, 54)(16, 58)(17, 53)(18, 72)(19, 71)(20, 56)(21, 66)(22, 61)(23, 68)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.191
Graph:: simple bipartite
	v = 16 e = 48 f = 18
	degree seq :: [ 4^12, 12^4 ]

E8.193 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 8})
Quotient :: edge
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^6, T1^2 * T2 * T1^-1 * T2^3 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 14, 24, 13, 5)(2, 7, 17, 22, 11, 19, 18, 8)(4, 9, 20, 16, 6, 15, 23, 12)(25, 26, 30, 38, 35, 28)(27, 33, 43, 48, 39, 31)(29, 36, 46, 45, 40, 32)(34, 41, 47, 37, 42, 44)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 16^6 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E8.194
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 24 f = 3
	degree seq :: [ 6^4, 8^3 ]

E8.194 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 8})
Quotient :: loop
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^6, T1^2 * T2 * T1^-1 * T2^3 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 21, 45, 14, 38, 24, 48, 13, 37, 5, 29)(2, 26, 7, 31, 17, 41, 22, 46, 11, 35, 19, 43, 18, 42, 8, 32)(4, 28, 9, 33, 20, 44, 16, 40, 6, 30, 15, 39, 23, 47, 12, 36)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 36)(6, 38)(7, 27)(8, 29)(9, 43)(10, 41)(11, 28)(12, 46)(13, 42)(14, 35)(15, 31)(16, 32)(17, 47)(18, 44)(19, 48)(20, 34)(21, 40)(22, 45)(23, 37)(24, 39)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.193
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 24 f = 7
	degree seq :: [ 16^3 ]

E8.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 8})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1^6, (Y1^-2 * Y3)^2, Y1 * Y2 * Y3 * Y2^3 * Y3^-1, (Y2^-1 * Y1)^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 9, 33, 19, 43, 24, 48, 15, 39, 7, 31)(5, 29, 12, 36, 22, 46, 21, 45, 16, 40, 8, 32)(10, 34, 17, 41, 23, 47, 13, 37, 18, 42, 20, 44)(49, 73, 51, 75, 58, 82, 69, 93, 62, 86, 72, 96, 61, 85, 53, 77)(50, 74, 55, 79, 65, 89, 70, 94, 59, 83, 67, 91, 66, 90, 56, 80)(52, 76, 57, 81, 68, 92, 64, 88, 54, 78, 63, 87, 71, 95, 60, 84)
	L = (1, 52)(2, 49)(3, 55)(4, 59)(5, 56)(6, 50)(7, 63)(8, 64)(9, 51)(10, 68)(11, 62)(12, 53)(13, 71)(14, 54)(15, 72)(16, 69)(17, 58)(18, 61)(19, 57)(20, 66)(21, 70)(22, 60)(23, 65)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 2, 16, 2, 16, 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 E8.196
Graph:: bipartite
	v = 7 e = 48 f = 27
	degree seq :: [ 12^4, 16^3 ]

E8.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 8})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^6, Y1^3 * Y3 * Y1 * Y3^-2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 19, 43, 24, 48, 12, 36, 4, 28)(3, 27, 8, 32, 15, 39, 22, 46, 13, 37, 17, 41, 21, 45, 10, 34)(5, 29, 7, 31, 16, 40, 20, 44, 9, 33, 18, 42, 23, 47, 11, 35)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(65, 89)(66, 90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)
	L = (1, 51)(2, 55)(3, 57)(4, 59)(5, 49)(6, 63)(7, 65)(8, 50)(9, 67)(10, 52)(11, 70)(12, 69)(13, 53)(14, 68)(15, 71)(16, 54)(17, 72)(18, 56)(19, 61)(20, 58)(21, 64)(22, 62)(23, 60)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.195
Graph:: simple bipartite
	v = 27 e = 48 f = 7
	degree seq :: [ 2^24, 16^3 ]

E8.197 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 12})
Quotient :: halfedge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^2, Y1^2 * Y2 * Y1^-1 * Y3, (Y3 * Y2)^4, (Y2 * Y1 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 26, 2, 30, 6, 36, 12, 39, 15, 44, 20, 48, 24, 46, 22, 41, 17, 34, 10, 37, 13, 29, 5, 25)(3, 33, 9, 40, 16, 42, 18, 47, 23, 45, 21, 43, 19, 38, 14, 32, 8, 28, 4, 35, 11, 31, 7, 27)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 11)(8, 15)(10, 18)(13, 16)(14, 20)(17, 23)(19, 24)(21, 22)(25, 28)(26, 32)(27, 34)(29, 35)(30, 38)(31, 37)(33, 41)(36, 43)(39, 45)(40, 46)(42, 48)(44, 47)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E8.198
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 8
	degree seq :: [ 24^2 ]

E8.198 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 12})
Quotient :: halfedge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3 * Y1)^2, (Y3 * Y2)^4, (Y2 * Y1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 26, 2, 29, 5, 25)(3, 32, 8, 30, 6, 27)(4, 34, 10, 31, 7, 28)(9, 36, 12, 38, 14, 33)(11, 37, 13, 40, 16, 35)(15, 44, 20, 42, 18, 39)(17, 46, 22, 43, 19, 41)(21, 47, 23, 48, 24, 45)
	L = (1, 3)(2, 6)(4, 11)(5, 8)(7, 13)(9, 15)(10, 16)(12, 18)(14, 20)(17, 21)(19, 23)(22, 24)(25, 28)(26, 31)(27, 33)(29, 34)(30, 36)(32, 38)(35, 41)(37, 43)(39, 45)(40, 46)(42, 47)(44, 48)
	local type(s) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E8.197
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 24 f = 2
	degree seq :: [ 6^8 ]

E8.199 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 12})
Quotient :: edge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^4, (Y3 * Y1 * Y2)^12 ]
Map::
	R = (1, 25, 4, 28, 5, 29)(2, 26, 7, 31, 8, 32)(3, 27, 10, 34, 11, 35)(6, 30, 13, 37, 14, 38)(9, 33, 16, 40, 17, 41)(12, 36, 19, 43, 20, 44)(15, 39, 21, 45, 22, 46)(18, 42, 23, 47, 24, 48)(49, 50)(51, 57)(52, 56)(53, 55)(54, 60)(58, 65)(59, 64)(61, 68)(62, 67)(63, 66)(69, 72)(70, 71)(73, 75)(74, 78)(76, 83)(77, 82)(79, 86)(80, 85)(81, 87)(84, 90)(88, 94)(89, 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 ), ( 48^6 ) }
Outer automorphisms :: reflexible
Dual of E8.202
Graph:: simple bipartite
	v = 32 e = 48 f = 2
	degree seq :: [ 2^24, 6^8 ]

E8.200 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 12})
Quotient :: edge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y3^-3 * Y1, (Y1 * Y2)^4, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 25, 4, 28, 12, 36, 6, 30, 15, 39, 22, 46, 20, 44, 24, 48, 18, 42, 9, 33, 13, 37, 5, 29)(2, 26, 7, 31, 11, 35, 3, 27, 10, 34, 19, 43, 17, 41, 23, 47, 21, 45, 14, 38, 16, 40, 8, 32)(49, 50)(51, 57)(52, 56)(53, 55)(54, 62)(58, 66)(59, 61)(60, 64)(63, 69)(65, 68)(67, 72)(70, 71)(73, 75)(74, 78)(76, 83)(77, 82)(79, 84)(80, 87)(81, 89)(85, 91)(86, 92)(88, 94)(90, 95)(93, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E8.201
Graph:: simple bipartite
	v = 26 e = 48 f = 8
	degree seq :: [ 2^24, 24^2 ]

E8.201 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 12})
Quotient :: loop^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^4, (Y3 * Y1 * Y2)^12 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 8, 32, 56, 80)(3, 27, 51, 75, 10, 34, 58, 82, 11, 35, 59, 83)(6, 30, 54, 78, 13, 37, 61, 85, 14, 38, 62, 86)(9, 33, 57, 81, 16, 40, 64, 88, 17, 41, 65, 89)(12, 36, 60, 84, 19, 43, 67, 91, 20, 44, 68, 92)(15, 39, 63, 87, 21, 45, 69, 93, 22, 46, 70, 94)(18, 42, 66, 90, 23, 47, 71, 95, 24, 48, 72, 96)
	L = (1, 26)(2, 25)(3, 33)(4, 32)(5, 31)(6, 36)(7, 29)(8, 28)(9, 27)(10, 41)(11, 40)(12, 30)(13, 44)(14, 43)(15, 42)(16, 35)(17, 34)(18, 39)(19, 38)(20, 37)(21, 48)(22, 47)(23, 46)(24, 45)(49, 75)(50, 78)(51, 73)(52, 83)(53, 82)(54, 74)(55, 86)(56, 85)(57, 87)(58, 77)(59, 76)(60, 90)(61, 80)(62, 79)(63, 81)(64, 94)(65, 93)(66, 84)(67, 96)(68, 95)(69, 89)(70, 88)(71, 92)(72, 91)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.200
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 26
	degree seq :: [ 12^8 ]

E8.202 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 12})
Quotient :: loop^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y3^-3 * Y1, (Y1 * Y2)^4, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 6, 30, 54, 78, 15, 39, 63, 87, 22, 46, 70, 94, 20, 44, 68, 92, 24, 48, 72, 96, 18, 42, 66, 90, 9, 33, 57, 81, 13, 37, 61, 85, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 11, 35, 59, 83, 3, 27, 51, 75, 10, 34, 58, 82, 19, 43, 67, 91, 17, 41, 65, 89, 23, 47, 71, 95, 21, 45, 69, 93, 14, 38, 62, 86, 16, 40, 64, 88, 8, 32, 56, 80)
	L = (1, 26)(2, 25)(3, 33)(4, 32)(5, 31)(6, 38)(7, 29)(8, 28)(9, 27)(10, 42)(11, 37)(12, 40)(13, 35)(14, 30)(15, 45)(16, 36)(17, 44)(18, 34)(19, 48)(20, 41)(21, 39)(22, 47)(23, 46)(24, 43)(49, 75)(50, 78)(51, 73)(52, 83)(53, 82)(54, 74)(55, 84)(56, 87)(57, 89)(58, 77)(59, 76)(60, 79)(61, 91)(62, 92)(63, 80)(64, 94)(65, 81)(66, 95)(67, 85)(68, 86)(69, 96)(70, 88)(71, 90)(72, 93)
	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 ) }
Outer automorphisms :: reflexible
Dual of E8.199
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 32
	degree seq :: [ 48^2 ]

E8.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y3^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 10, 34)(5, 29, 7, 31)(6, 30, 8, 32)(11, 35, 20, 44)(12, 36, 19, 43)(13, 37, 18, 42)(14, 38, 17, 41)(15, 39, 16, 40)(21, 45, 24, 48)(22, 46, 23, 47)(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, 64, 88, 67, 91)(58, 82, 65, 89, 68, 92)(61, 85, 69, 93, 70, 94)(66, 90, 71, 95, 72, 96)
	L = (1, 52)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 64)(8, 66)(9, 67)(10, 50)(11, 69)(12, 51)(13, 54)(14, 70)(15, 53)(16, 71)(17, 55)(18, 58)(19, 72)(20, 57)(21, 60)(22, 63)(23, 65)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.206
Graph:: simple bipartite
	v = 20 e = 48 f = 14
	degree seq :: [ 4^12, 6^8 ]

E8.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, Y2 * Y3^4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 10, 34)(5, 29, 7, 31)(6, 30, 8, 32)(11, 35, 21, 45)(12, 36, 20, 44)(13, 37, 22, 46)(14, 38, 18, 42)(15, 39, 17, 41)(16, 40, 19, 43)(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, 64, 88, 71, 95)(67, 91, 70, 94, 72, 96)
	L = (1, 52)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 65)(8, 67)(9, 68)(10, 50)(11, 64)(12, 51)(13, 63)(14, 71)(15, 53)(16, 54)(17, 70)(18, 55)(19, 69)(20, 72)(21, 57)(22, 58)(23, 60)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.207
Graph:: simple bipartite
	v = 20 e = 48 f = 14
	degree seq :: [ 4^12, 6^8 ]

E8.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 10, 34)(5, 29, 9, 33)(6, 30, 8, 32)(11, 35, 17, 41)(12, 36, 16, 40)(13, 37, 18, 42)(14, 38, 20, 44)(15, 39, 19, 43)(21, 45, 23, 47)(22, 46, 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, 64, 88, 67, 91)(58, 82, 65, 89, 68, 92)(61, 85, 69, 93, 70, 94)(66, 90, 71, 95, 72, 96)
	L = (1, 52)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 64)(8, 66)(9, 67)(10, 50)(11, 69)(12, 51)(13, 54)(14, 70)(15, 53)(16, 71)(17, 55)(18, 58)(19, 72)(20, 57)(21, 60)(22, 63)(23, 65)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.208
Graph:: simple bipartite
	v = 20 e = 48 f = 14
	degree seq :: [ 4^12, 6^8 ]

E8.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^-3, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2 * Y1^-1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 4, 28, 9, 33, 17, 41, 14, 38, 20, 44, 15, 39, 6, 30, 10, 34, 5, 29)(3, 27, 11, 35, 18, 42, 12, 36, 21, 45, 24, 48, 22, 46, 23, 47, 19, 43, 13, 37, 16, 40, 8, 32)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 61, 85)(53, 77, 59, 83)(54, 78, 60, 84)(55, 79, 64, 88)(57, 81, 67, 91)(58, 82, 66, 90)(62, 86, 70, 94)(63, 87, 69, 93)(65, 89, 71, 95)(68, 92, 72, 96)
	L = (1, 52)(2, 57)(3, 60)(4, 62)(5, 55)(6, 49)(7, 65)(8, 66)(9, 68)(10, 50)(11, 69)(12, 70)(13, 51)(14, 54)(15, 53)(16, 59)(17, 63)(18, 72)(19, 56)(20, 58)(21, 71)(22, 61)(23, 64)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E8.203
Graph:: bipartite
	v = 14 e = 48 f = 20
	degree seq :: [ 4^12, 24^2 ]

E8.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^2 * Y1^-2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y3^2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 16, 40, 15, 39, 6, 30, 10, 34, 4, 28, 9, 33, 18, 42, 14, 38, 5, 29)(3, 27, 11, 35, 21, 45, 24, 48, 20, 44, 13, 37, 19, 43, 12, 36, 22, 46, 23, 47, 17, 41, 8, 32)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 61, 85)(53, 77, 59, 83)(54, 78, 60, 84)(55, 79, 65, 89)(57, 81, 68, 92)(58, 82, 67, 91)(62, 86, 69, 93)(63, 87, 70, 94)(64, 88, 71, 95)(66, 90, 72, 96)
	L = (1, 52)(2, 57)(3, 60)(4, 55)(5, 58)(6, 49)(7, 66)(8, 67)(9, 64)(10, 50)(11, 70)(12, 69)(13, 51)(14, 54)(15, 53)(16, 62)(17, 61)(18, 63)(19, 59)(20, 56)(21, 71)(22, 72)(23, 68)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 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 E8.204
Graph:: bipartite
	v = 14 e = 48 f = 20
	degree seq :: [ 4^12, 24^2 ]

E8.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1, Y3^-1), Y3 * Y1^-3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y2 * Y3 * Y1^-1 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 4, 28, 9, 33, 19, 43, 15, 39, 24, 48, 17, 41, 6, 30, 10, 34, 5, 29)(3, 27, 11, 35, 18, 42, 12, 36, 23, 47, 16, 40, 22, 46, 8, 32, 20, 44, 14, 38, 21, 45, 13, 37)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 62, 86)(53, 77, 64, 88)(54, 78, 60, 84)(55, 79, 66, 90)(57, 81, 71, 95)(58, 82, 69, 93)(59, 83, 72, 96)(61, 85, 67, 91)(63, 87, 70, 94)(65, 89, 68, 92)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 55)(6, 49)(7, 67)(8, 69)(9, 72)(10, 50)(11, 71)(12, 70)(13, 66)(14, 51)(15, 54)(16, 68)(17, 53)(18, 64)(19, 65)(20, 61)(21, 59)(22, 62)(23, 56)(24, 58)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 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 E8.205
Graph:: bipartite
	v = 14 e = 48 f = 20
	degree seq :: [ 4^12, 24^2 ]

E8.209 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^2, T2^3 * T1^-1 * T2^-1 * T1^-1, T2^-4 * T1^-2, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^2 * T1)^2, T1^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 19, 12, 21, 24, 18, 6, 17, 15, 5)(2, 7, 20, 13, 4, 11, 23, 9, 16, 14, 22, 8)(25, 26, 30, 40, 36, 28)(27, 33, 41, 37, 45, 32)(29, 35, 42, 31, 43, 38)(34, 44, 39, 46, 48, 47)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E8.210
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 24 f = 4
	degree seq :: [ 6^4, 12^2 ]

E8.210 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ F^2, T1^2 * T2^-2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T2^2 * T1^4, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 6, 30, 15, 39, 11, 35, 5, 29)(2, 26, 7, 31, 14, 38, 12, 36, 4, 28, 8, 32)(9, 33, 19, 43, 13, 37, 21, 45, 10, 34, 20, 44)(16, 40, 22, 46, 18, 42, 24, 48, 17, 41, 23, 47)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 34)(6, 38)(7, 40)(8, 41)(9, 39)(10, 27)(11, 28)(12, 42)(13, 29)(14, 35)(15, 37)(16, 36)(17, 31)(18, 32)(19, 46)(20, 47)(21, 48)(22, 45)(23, 43)(24, 44)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.209
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 24 f = 6
	degree seq :: [ 12^4 ]

E8.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y2 * Y1^-1)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^-3, Y1^-1 * Y2^-4 * Y1^-1, Y2 * Y1 * Y2 * Y1^3, (Y2^2 * Y1)^2, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 16, 40, 12, 36, 4, 28)(3, 27, 9, 33, 17, 41, 13, 37, 21, 45, 8, 32)(5, 29, 11, 35, 18, 42, 7, 31, 19, 43, 14, 38)(10, 34, 20, 44, 15, 39, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 58, 82, 67, 91, 60, 84, 69, 93, 72, 96, 66, 90, 54, 78, 65, 89, 63, 87, 53, 77)(50, 74, 55, 79, 68, 92, 61, 85, 52, 76, 59, 83, 71, 95, 57, 81, 64, 88, 62, 86, 70, 94, 56, 80)
	L = (1, 51)(2, 55)(3, 58)(4, 59)(5, 49)(6, 65)(7, 68)(8, 50)(9, 64)(10, 67)(11, 71)(12, 69)(13, 52)(14, 70)(15, 53)(16, 62)(17, 63)(18, 54)(19, 60)(20, 61)(21, 72)(22, 56)(23, 57)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.212
Graph:: bipartite
	v = 6 e = 48 f = 28
	degree seq :: [ 12^4, 24^2 ]

E8.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-3 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3 * Y2^-1 * Y3 * Y2^3, (Y2^-2 * R)^2, Y3^4 * Y2^-2, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(49, 73, 50, 74, 54, 78, 64, 88, 61, 85, 52, 76)(51, 75, 57, 81, 65, 89, 56, 80, 69, 93, 59, 83)(53, 77, 62, 86, 66, 90, 60, 84, 68, 92, 55, 79)(58, 82, 67, 91, 72, 96, 71, 95, 63, 87, 70, 94)
	L = (1, 51)(2, 55)(3, 58)(4, 60)(5, 49)(6, 65)(7, 67)(8, 50)(9, 52)(10, 66)(11, 64)(12, 70)(13, 69)(14, 71)(15, 53)(16, 62)(17, 72)(18, 54)(19, 59)(20, 61)(21, 63)(22, 56)(23, 57)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.211
Graph:: simple bipartite
	v = 28 e = 48 f = 6
	degree seq :: [ 2^24, 12^4 ]

E8.213 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 12})
Quotient :: edge
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^6 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 22, 14, 6, 13, 21, 20, 12, 5)(2, 7, 15, 23, 19, 11, 4, 9, 17, 24, 16, 8)(25, 26, 30, 28)(27, 33, 37, 31)(29, 35, 38, 32)(34, 39, 45, 41)(36, 40, 46, 43)(42, 48, 44, 47)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 24^4 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E8.214
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 24 f = 2
	degree seq :: [ 4^6, 12^2 ]

E8.214 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 12})
Quotient :: loop
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^6 * T1^-1 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 18, 42, 22, 46, 14, 38, 6, 30, 13, 37, 21, 45, 20, 44, 12, 36, 5, 29)(2, 26, 7, 31, 15, 39, 23, 47, 19, 43, 11, 35, 4, 28, 9, 33, 17, 41, 24, 48, 16, 40, 8, 32)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 35)(6, 28)(7, 27)(8, 29)(9, 37)(10, 39)(11, 38)(12, 40)(13, 31)(14, 32)(15, 45)(16, 46)(17, 34)(18, 48)(19, 36)(20, 47)(21, 41)(22, 43)(23, 42)(24, 44)
	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 ) }
Outer automorphisms :: reflexible
Dual of E8.213
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 8
	degree seq :: [ 24^2 ]

E8.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2^4 * 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 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 9, 33, 13, 37, 7, 31)(5, 29, 11, 35, 14, 38, 8, 32)(10, 34, 15, 39, 21, 45, 17, 41)(12, 36, 16, 40, 22, 46, 19, 43)(18, 42, 24, 48, 20, 44, 23, 47)(49, 73, 51, 75, 58, 82, 66, 90, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 68, 92, 60, 84, 53, 77)(50, 74, 55, 79, 63, 87, 71, 95, 67, 91, 59, 83, 52, 76, 57, 81, 65, 89, 72, 96, 64, 88, 56, 80)
	L = (1, 52)(2, 49)(3, 55)(4, 54)(5, 56)(6, 50)(7, 61)(8, 62)(9, 51)(10, 65)(11, 53)(12, 67)(13, 57)(14, 59)(15, 58)(16, 60)(17, 69)(18, 71)(19, 70)(20, 72)(21, 63)(22, 64)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ), ( 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 E8.216
Graph:: bipartite
	v = 8 e = 48 f = 26
	degree seq :: [ 8^6, 24^2 ]

E8.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^2 * Y1^-5, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 13, 37, 21, 45, 17, 41, 9, 33, 16, 40, 24, 48, 20, 44, 12, 36, 4, 28)(3, 27, 8, 32, 14, 38, 23, 47, 19, 43, 11, 35, 5, 29, 7, 31, 15, 39, 22, 46, 18, 42, 10, 34)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(65, 89)(66, 90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)
	L = (1, 51)(2, 55)(3, 57)(4, 59)(5, 49)(6, 62)(7, 64)(8, 50)(9, 53)(10, 52)(11, 65)(12, 66)(13, 70)(14, 72)(15, 54)(16, 56)(17, 58)(18, 69)(19, 60)(20, 71)(21, 67)(22, 68)(23, 61)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.215
Graph:: simple bipartite
	v = 26 e = 48 f = 8
	degree seq :: [ 2^24, 24^2 ]

E8.217 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 24, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^8 * T1, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 22, 16, 10, 4, 9, 15, 21, 24, 19, 13, 7, 2, 6, 12, 18, 23, 17, 11, 5)(25, 26, 28)(27, 30, 33)(29, 31, 34)(32, 36, 39)(35, 37, 40)(38, 42, 45)(41, 43, 46)(44, 47, 48)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 48^3 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E8.218
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 24 f = 1
	degree seq :: [ 3^8, 24 ]

E8.218 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 24, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^8 * T1, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 8, 32, 14, 38, 20, 44, 22, 46, 16, 40, 10, 34, 4, 28, 9, 33, 15, 39, 21, 45, 24, 48, 19, 43, 13, 37, 7, 31, 2, 26, 6, 30, 12, 36, 18, 42, 23, 47, 17, 41, 11, 35, 5, 29)
	L = (1, 26)(2, 28)(3, 30)(4, 25)(5, 31)(6, 33)(7, 34)(8, 36)(9, 27)(10, 29)(11, 37)(12, 39)(13, 40)(14, 42)(15, 32)(16, 35)(17, 43)(18, 45)(19, 46)(20, 47)(21, 38)(22, 41)(23, 48)(24, 44)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.217
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 24 f = 9
	degree seq :: [ 48 ]

E8.219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y3 * Y1^-2, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^8 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 25, 2, 26, 4, 28)(3, 27, 6, 30, 9, 33)(5, 29, 7, 31, 10, 34)(8, 32, 12, 36, 15, 39)(11, 35, 13, 37, 16, 40)(14, 38, 18, 42, 21, 45)(17, 41, 19, 43, 22, 46)(20, 44, 23, 47, 24, 48)(49, 73, 51, 75, 56, 80, 62, 86, 68, 92, 70, 94, 64, 88, 58, 82, 52, 76, 57, 81, 63, 87, 69, 93, 72, 96, 67, 91, 61, 85, 55, 79, 50, 74, 54, 78, 60, 84, 66, 90, 71, 95, 65, 89, 59, 83, 53, 77)
	L = (1, 52)(2, 49)(3, 57)(4, 50)(5, 58)(6, 51)(7, 53)(8, 63)(9, 54)(10, 55)(11, 64)(12, 56)(13, 59)(14, 69)(15, 60)(16, 61)(17, 70)(18, 62)(19, 65)(20, 72)(21, 66)(22, 67)(23, 68)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E8.220
Graph:: bipartite
	v = 9 e = 48 f = 25
	degree seq :: [ 6^8, 48 ]

E8.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^8, (Y1^-1 * Y3^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 12, 36, 18, 42, 23, 47, 17, 41, 11, 35, 5, 29, 8, 32, 14, 38, 20, 44, 24, 48, 21, 45, 15, 39, 9, 33, 3, 27, 7, 31, 13, 37, 19, 43, 22, 46, 16, 40, 10, 34, 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, 53)(4, 57)(5, 49)(6, 61)(7, 56)(8, 50)(9, 59)(10, 63)(11, 52)(12, 67)(13, 62)(14, 54)(15, 65)(16, 69)(17, 58)(18, 70)(19, 68)(20, 60)(21, 71)(22, 72)(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, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E8.219
Graph:: bipartite
	v = 25 e = 48 f = 9
	degree seq :: [ 2^24, 48 ]

E8.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 5})
Quotient :: dipole
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y3^-5 * Y2^-1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 31, 2, 32)(3, 33, 9, 39)(4, 34, 10, 40)(5, 35, 7, 37)(6, 36, 8, 38)(11, 41, 21, 51)(12, 42, 20, 50)(13, 43, 22, 52)(14, 44, 18, 48)(15, 45, 17, 47)(16, 46, 19, 49)(23, 53, 29, 59)(24, 54, 30, 60)(25, 55, 27, 57)(26, 56, 28, 58)(61, 91, 63, 93, 65, 95)(62, 92, 67, 97, 69, 99)(64, 94, 71, 101, 74, 104)(66, 96, 72, 102, 75, 105)(68, 98, 77, 107, 80, 110)(70, 100, 78, 108, 81, 111)(73, 103, 83, 113, 86, 116)(76, 106, 84, 114, 85, 115)(79, 109, 87, 117, 90, 120)(82, 112, 88, 118, 89, 119)
	L = (1, 64)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 77)(8, 79)(9, 80)(10, 62)(11, 83)(12, 63)(13, 85)(14, 86)(15, 65)(16, 66)(17, 87)(18, 67)(19, 89)(20, 90)(21, 69)(22, 70)(23, 76)(24, 72)(25, 75)(26, 84)(27, 82)(28, 78)(29, 81)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E8.222
Graph:: simple bipartite
	v = 25 e = 60 f = 21
	degree seq :: [ 4^15, 6^10 ]

E8.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 5})
Quotient :: dipole
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3, Y1^-1), (R * Y3)^2, (Y2 * Y1)^2, Y3^-3 * Y1^2, Y1^5, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 31, 2, 32, 7, 37, 16, 46, 5, 35)(3, 33, 11, 41, 24, 54, 19, 49, 8, 38)(4, 34, 9, 39, 20, 50, 18, 48, 15, 45)(6, 36, 10, 40, 14, 44, 23, 53, 17, 47)(12, 42, 25, 55, 30, 60, 28, 58, 21, 51)(13, 43, 26, 56, 27, 57, 29, 59, 22, 52)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 73, 103)(65, 95, 71, 101)(66, 96, 72, 102)(67, 97, 79, 109)(69, 99, 82, 112)(70, 100, 81, 111)(74, 104, 88, 118)(75, 105, 86, 116)(76, 106, 84, 114)(77, 107, 85, 115)(78, 108, 87, 117)(80, 110, 89, 119)(83, 113, 90, 120)
	L = (1, 64)(2, 69)(3, 72)(4, 74)(5, 75)(6, 61)(7, 80)(8, 81)(9, 83)(10, 62)(11, 85)(12, 87)(13, 63)(14, 67)(15, 70)(16, 78)(17, 65)(18, 66)(19, 88)(20, 77)(21, 86)(22, 68)(23, 76)(24, 90)(25, 89)(26, 71)(27, 84)(28, 73)(29, 79)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.221
Graph:: simple bipartite
	v = 21 e = 60 f = 25
	degree seq :: [ 4^15, 10^6 ]

E8.223 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 6, 6})
Quotient :: edge
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^5, T2^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 13, 5)(2, 7, 16, 25, 17, 8)(4, 9, 19, 27, 22, 12)(6, 14, 23, 29, 24, 15)(11, 18, 26, 30, 28, 21)(31, 32, 36, 41, 34)(33, 39, 48, 44, 37)(35, 42, 51, 45, 38)(40, 46, 53, 56, 49)(43, 47, 54, 58, 52)(50, 57, 60, 59, 55)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 12^5 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E8.224
Transitivity :: ET+
Graph:: simple bipartite
	v = 11 e = 30 f = 5
	degree seq :: [ 5^6, 6^5 ]

E8.224 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 6, 6})
Quotient :: loop
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^5, T2^6 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 10, 40, 20, 50, 13, 43, 5, 35)(2, 32, 7, 37, 16, 46, 25, 55, 17, 47, 8, 38)(4, 34, 9, 39, 19, 49, 27, 57, 22, 52, 12, 42)(6, 36, 14, 44, 23, 53, 29, 59, 24, 54, 15, 45)(11, 41, 18, 48, 26, 56, 30, 60, 28, 58, 21, 51)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 42)(6, 41)(7, 33)(8, 35)(9, 48)(10, 46)(11, 34)(12, 51)(13, 47)(14, 37)(15, 38)(16, 53)(17, 54)(18, 44)(19, 40)(20, 57)(21, 45)(22, 43)(23, 56)(24, 58)(25, 50)(26, 49)(27, 60)(28, 52)(29, 55)(30, 59)
	local type(s) :: { ( 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.223
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 30 f = 11
	degree seq :: [ 12^5 ]

E8.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1, Y1^5, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-1 * Y1)^6 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 9, 39, 18, 48, 14, 44, 7, 37)(5, 35, 12, 42, 21, 51, 15, 45, 8, 38)(10, 40, 16, 46, 23, 53, 26, 56, 19, 49)(13, 43, 17, 47, 24, 54, 28, 58, 22, 52)(20, 50, 27, 57, 30, 60, 29, 59, 25, 55)(61, 91, 63, 93, 70, 100, 80, 110, 73, 103, 65, 95)(62, 92, 67, 97, 76, 106, 85, 115, 77, 107, 68, 98)(64, 94, 69, 99, 79, 109, 87, 117, 82, 112, 72, 102)(66, 96, 74, 104, 83, 113, 89, 119, 84, 114, 75, 105)(71, 101, 78, 108, 86, 116, 90, 120, 88, 118, 81, 111)
	L = (1, 64)(2, 61)(3, 67)(4, 71)(5, 68)(6, 62)(7, 74)(8, 75)(9, 63)(10, 79)(11, 66)(12, 65)(13, 82)(14, 78)(15, 81)(16, 70)(17, 73)(18, 69)(19, 86)(20, 85)(21, 72)(22, 88)(23, 76)(24, 77)(25, 89)(26, 83)(27, 80)(28, 84)(29, 90)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 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 E8.226
Graph:: bipartite
	v = 11 e = 60 f = 35
	degree seq :: [ 10^6, 12^5 ]

E8.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^5 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 12, 42, 4, 34)(3, 33, 8, 38, 15, 45, 24, 54, 20, 50, 10, 40)(5, 35, 7, 37, 16, 46, 23, 53, 22, 52, 11, 41)(9, 39, 18, 48, 25, 55, 30, 60, 27, 57, 19, 49)(13, 43, 17, 47, 26, 56, 29, 59, 28, 58, 21, 51)(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, 71)(5, 61)(6, 75)(7, 77)(8, 62)(9, 73)(10, 64)(11, 81)(12, 80)(13, 65)(14, 83)(15, 85)(16, 66)(17, 78)(18, 68)(19, 70)(20, 87)(21, 79)(22, 72)(23, 89)(24, 74)(25, 86)(26, 76)(27, 88)(28, 82)(29, 90)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.225
Graph:: simple bipartite
	v = 35 e = 60 f = 11
	degree seq :: [ 2^30, 12^5 ]

E8.227 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 10, 10})
Quotient :: edge
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 23, 17, 11, 5)(2, 6, 12, 18, 24, 29, 25, 19, 13, 7)(4, 8, 14, 20, 26, 30, 28, 22, 16, 10)(31, 32, 34)(33, 38, 36)(35, 40, 37)(39, 42, 44)(41, 43, 46)(45, 50, 48)(47, 52, 49)(51, 54, 56)(53, 55, 58)(57, 60, 59)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 20^3 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E8.228
Transitivity :: ET+
Graph:: simple bipartite
	v = 13 e = 30 f = 3
	degree seq :: [ 3^10, 10^3 ]

E8.228 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 10, 10})
Quotient :: loop
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^10 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 15, 45, 21, 51, 27, 57, 23, 53, 17, 47, 11, 41, 5, 35)(2, 32, 6, 36, 12, 42, 18, 48, 24, 54, 29, 59, 25, 55, 19, 49, 13, 43, 7, 37)(4, 34, 8, 38, 14, 44, 20, 50, 26, 56, 30, 60, 28, 58, 22, 52, 16, 46, 10, 40)
	L = (1, 32)(2, 34)(3, 38)(4, 31)(5, 40)(6, 33)(7, 35)(8, 36)(9, 42)(10, 37)(11, 43)(12, 44)(13, 46)(14, 39)(15, 50)(16, 41)(17, 52)(18, 45)(19, 47)(20, 48)(21, 54)(22, 49)(23, 55)(24, 56)(25, 58)(26, 51)(27, 60)(28, 53)(29, 57)(30, 59)
	local type(s) :: { ( 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10 ) }
Outer automorphisms :: reflexible
Dual of E8.227
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 30 f = 13
	degree seq :: [ 20^3 ]

E8.229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^10, (Y2^-1 * Y1)^10 ]
Map::
	R = (1, 31, 2, 32, 4, 34)(3, 33, 8, 38, 6, 36)(5, 35, 10, 40, 7, 37)(9, 39, 12, 42, 14, 44)(11, 41, 13, 43, 16, 46)(15, 45, 20, 50, 18, 48)(17, 47, 22, 52, 19, 49)(21, 51, 24, 54, 26, 56)(23, 53, 25, 55, 28, 58)(27, 57, 30, 60, 29, 59)(61, 91, 63, 93, 69, 99, 75, 105, 81, 111, 87, 117, 83, 113, 77, 107, 71, 101, 65, 95)(62, 92, 66, 96, 72, 102, 78, 108, 84, 114, 89, 119, 85, 115, 79, 109, 73, 103, 67, 97)(64, 94, 68, 98, 74, 104, 80, 110, 86, 116, 90, 120, 88, 118, 82, 112, 76, 106, 70, 100)
	L = (1, 64)(2, 61)(3, 66)(4, 62)(5, 67)(6, 68)(7, 70)(8, 63)(9, 74)(10, 65)(11, 76)(12, 69)(13, 71)(14, 72)(15, 78)(16, 73)(17, 79)(18, 80)(19, 82)(20, 75)(21, 86)(22, 77)(23, 88)(24, 81)(25, 83)(26, 84)(27, 89)(28, 85)(29, 90)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 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 E8.230
Graph:: bipartite
	v = 13 e = 60 f = 33
	degree seq :: [ 6^10, 20^3 ]

E8.230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^10 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 12, 42, 18, 48, 24, 54, 23, 53, 17, 47, 11, 41, 4, 34)(3, 33, 8, 38, 13, 43, 20, 50, 25, 55, 30, 60, 27, 57, 21, 51, 15, 45, 9, 39)(5, 35, 7, 37, 14, 44, 19, 49, 26, 56, 29, 59, 28, 58, 22, 52, 16, 46, 10, 40)(61, 91)(62, 92)(63, 93)(64, 94)(65, 95)(66, 96)(67, 97)(68, 98)(69, 99)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(75, 105)(76, 106)(77, 107)(78, 108)(79, 109)(80, 110)(81, 111)(82, 112)(83, 113)(84, 114)(85, 115)(86, 116)(87, 117)(88, 118)(89, 119)(90, 120)
	L = (1, 63)(2, 67)(3, 65)(4, 70)(5, 61)(6, 73)(7, 68)(8, 62)(9, 64)(10, 69)(11, 75)(12, 79)(13, 74)(14, 66)(15, 76)(16, 71)(17, 82)(18, 85)(19, 80)(20, 72)(21, 77)(22, 81)(23, 87)(24, 89)(25, 86)(26, 78)(27, 88)(28, 83)(29, 90)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.229
Graph:: simple bipartite
	v = 33 e = 60 f = 13
	degree seq :: [ 2^30, 20^3 ]

E8.231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 16})
Quotient :: dipole
Aut^+ = D32 (small group id <32, 18>)
Aut   = C2 x D32 (small group id <64, 186>)
|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 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 5, 37)(4, 36, 8, 40)(6, 38, 10, 42)(7, 39, 11, 43)(9, 41, 13, 45)(12, 44, 16, 48)(14, 46, 18, 50)(15, 47, 19, 51)(17, 49, 21, 53)(20, 52, 24, 56)(22, 54, 26, 58)(23, 55, 27, 59)(25, 57, 29, 61)(28, 60, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99)(66, 98, 69, 101)(68, 100, 71, 103)(70, 102, 73, 105)(72, 104, 75, 107)(74, 106, 77, 109)(76, 108, 79, 111)(78, 110, 81, 113)(80, 112, 83, 115)(82, 114, 85, 117)(84, 116, 87, 119)(86, 118, 89, 121)(88, 120, 91, 123)(90, 122, 93, 125)(92, 124, 95, 127)(94, 126, 96, 128)
	L = (1, 68)(2, 70)(3, 71)(4, 65)(5, 73)(6, 66)(7, 67)(8, 76)(9, 69)(10, 78)(11, 79)(12, 72)(13, 81)(14, 74)(15, 75)(16, 84)(17, 77)(18, 86)(19, 87)(20, 80)(21, 89)(22, 82)(23, 83)(24, 92)(25, 85)(26, 94)(27, 95)(28, 88)(29, 96)(30, 90)(31, 91)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E8.232
Graph:: simple bipartite
	v = 32 e = 64 f = 18
	degree seq :: [ 4^32 ]

E8.232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 16})
Quotient :: dipole
Aut^+ = D32 (small group id <32, 18>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (Y3 * Y1^-1)^2, Y2 * Y3 * Y1^8, Y1^-1 * Y2 * Y1^3 * Y3 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 13, 45, 21, 53, 29, 61, 26, 58, 18, 50, 10, 42, 16, 48, 24, 56, 32, 64, 28, 60, 20, 52, 12, 44, 5, 37)(3, 35, 9, 41, 17, 49, 25, 57, 31, 63, 23, 55, 15, 47, 8, 40, 4, 36, 11, 43, 19, 51, 27, 59, 30, 62, 22, 54, 14, 46, 7, 39)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 73, 105)(70, 102, 78, 110)(72, 104, 80, 112)(75, 107, 82, 114)(76, 108, 81, 113)(77, 109, 86, 118)(79, 111, 88, 120)(83, 115, 90, 122)(84, 116, 89, 121)(85, 117, 94, 126)(87, 119, 96, 128)(91, 123, 93, 125)(92, 124, 95, 127)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 75)(6, 79)(7, 80)(8, 66)(9, 82)(10, 67)(11, 69)(12, 83)(13, 87)(14, 88)(15, 70)(16, 71)(17, 90)(18, 73)(19, 76)(20, 91)(21, 95)(22, 96)(23, 77)(24, 78)(25, 93)(26, 81)(27, 84)(28, 94)(29, 89)(30, 92)(31, 85)(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) :: { ( 4^4 ), ( 4^32 ) }
Outer automorphisms :: reflexible
Dual of E8.231
Graph:: bipartite
	v = 18 e = 64 f = 32
	degree seq :: [ 4^16, 32^2 ]

E8.233 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 16})
Quotient :: edge
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-2 * T2^-1 * T1^-2, T2^6 * T1^-1 * T2^-2 * T1^-1 ]
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, 26, 18, 10, 4, 11, 19, 27, 32, 24, 16, 8)(33, 34, 38, 36)(35, 40, 45, 42)(37, 39, 46, 43)(41, 48, 53, 50)(44, 47, 54, 51)(49, 56, 61, 58)(52, 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) :: { ( 8^4 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E8.234
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 32 f = 8
	degree seq :: [ 4^8, 16^2 ]

E8.234 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 16})
Quotient :: loop
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-2 * T2^-1, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 6, 38, 5, 37)(2, 34, 7, 39, 4, 36, 8, 40)(9, 41, 13, 45, 10, 42, 14, 46)(11, 43, 15, 47, 12, 44, 16, 48)(17, 49, 21, 53, 18, 50, 22, 54)(19, 51, 23, 55, 20, 52, 24, 56)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 31, 63, 28, 60, 32, 64)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 42)(6, 36)(7, 43)(8, 44)(9, 37)(10, 35)(11, 40)(12, 39)(13, 49)(14, 50)(15, 51)(16, 52)(17, 46)(18, 45)(19, 48)(20, 47)(21, 57)(22, 58)(23, 59)(24, 60)(25, 54)(26, 53)(27, 56)(28, 55)(29, 64)(30, 63)(31, 61)(32, 62)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.233
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 10
	degree seq :: [ 8^8 ]

E8.235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 16})
Quotient :: dipole
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 8, 40, 13, 45, 10, 42)(5, 37, 7, 39, 14, 46, 11, 43)(9, 41, 16, 48, 21, 53, 18, 50)(12, 44, 15, 47, 22, 54, 19, 51)(17, 49, 24, 56, 29, 61, 26, 58)(20, 52, 23, 55, 30, 62, 27, 59)(25, 57, 32, 64, 28, 60, 31, 63)(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, 90, 122, 82, 114, 74, 106, 68, 100, 75, 107, 83, 115, 91, 123, 96, 128, 88, 120, 80, 112, 72, 104)
	L = (1, 67)(2, 71)(3, 73)(4, 75)(5, 65)(6, 77)(7, 79)(8, 66)(9, 81)(10, 68)(11, 83)(12, 69)(13, 85)(14, 70)(15, 87)(16, 72)(17, 89)(18, 74)(19, 91)(20, 76)(21, 93)(22, 78)(23, 95)(24, 80)(25, 94)(26, 82)(27, 96)(28, 84)(29, 92)(30, 86)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 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 E8.236
Graph:: bipartite
	v = 10 e = 64 f = 40
	degree seq :: [ 8^8, 32^2 ]

E8.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 16})
Quotient :: dipole
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^-1 * Y2^-2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-7 * Y2^-1, (Y3^-1 * Y1^-1)^16 ]
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, 68, 100)(67, 99, 72, 104, 77, 109, 74, 106)(69, 101, 71, 103, 78, 110, 75, 107)(73, 105, 80, 112, 85, 117, 82, 114)(76, 108, 79, 111, 86, 118, 83, 115)(81, 113, 88, 120, 93, 125, 90, 122)(84, 116, 87, 119, 94, 126, 91, 123)(89, 121, 96, 128, 92, 124, 95, 127)
	L = (1, 67)(2, 71)(3, 73)(4, 75)(5, 65)(6, 77)(7, 79)(8, 66)(9, 81)(10, 68)(11, 83)(12, 69)(13, 85)(14, 70)(15, 87)(16, 72)(17, 89)(18, 74)(19, 91)(20, 76)(21, 93)(22, 78)(23, 95)(24, 80)(25, 94)(26, 82)(27, 96)(28, 84)(29, 92)(30, 86)(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, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E8.235
Graph:: simple bipartite
	v = 40 e = 64 f = 10
	degree seq :: [ 2^32, 8^8 ]

E8.237 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 32, 32})
Quotient :: regular
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^16 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 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, 32)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 16 f = 1
	degree seq :: [ 32 ]

E8.238 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 32, 32})
Quotient :: edge
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^16 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 32, 28, 24, 20, 16, 12, 8, 4)(33, 34)(35, 37)(36, 38)(39, 41)(40, 42)(43, 45)(44, 46)(47, 49)(48, 50)(51, 53)(52, 54)(55, 57)(56, 58)(59, 61)(60, 62)(63, 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) :: { ( 64, 64 ), ( 64^32 ) }
Outer automorphisms :: reflexible
Dual of E8.239
Transitivity :: ET+
Graph:: bipartite
	v = 17 e = 32 f = 1
	degree seq :: [ 2^16, 32 ]

E8.239 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 32, 32})
Quotient :: loop
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^16 * T1 ]
Map::
	R = (1, 33, 3, 35, 7, 39, 11, 43, 15, 47, 19, 51, 23, 55, 27, 59, 31, 63, 30, 62, 26, 58, 22, 54, 18, 50, 14, 46, 10, 42, 6, 38, 2, 34, 5, 37, 9, 41, 13, 45, 17, 49, 21, 53, 25, 57, 29, 61, 32, 64, 28, 60, 24, 56, 20, 52, 16, 48, 12, 44, 8, 40, 4, 36)
	L = (1, 34)(2, 33)(3, 37)(4, 38)(5, 35)(6, 36)(7, 41)(8, 42)(9, 39)(10, 40)(11, 45)(12, 46)(13, 43)(14, 44)(15, 49)(16, 50)(17, 47)(18, 48)(19, 53)(20, 54)(21, 51)(22, 52)(23, 57)(24, 58)(25, 55)(26, 56)(27, 61)(28, 62)(29, 59)(30, 60)(31, 64)(32, 63)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E8.238
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 32 f = 17
	degree seq :: [ 64 ]

E8.240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|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, Y2^16 * Y1, (Y3 * Y2^-1)^32 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 5, 37)(4, 36, 6, 38)(7, 39, 9, 41)(8, 40, 10, 42)(11, 43, 13, 45)(12, 44, 14, 46)(15, 47, 17, 49)(16, 48, 18, 50)(19, 51, 21, 53)(20, 52, 22, 54)(23, 55, 25, 57)(24, 56, 26, 58)(27, 59, 29, 61)(28, 60, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 71, 103, 75, 107, 79, 111, 83, 115, 87, 119, 91, 123, 95, 127, 94, 126, 90, 122, 86, 118, 82, 114, 78, 110, 74, 106, 70, 102, 66, 98, 69, 101, 73, 105, 77, 109, 81, 113, 85, 117, 89, 121, 93, 125, 96, 128, 92, 124, 88, 120, 84, 116, 80, 112, 76, 108, 72, 104, 68, 100)
	L = (1, 66)(2, 65)(3, 69)(4, 70)(5, 67)(6, 68)(7, 73)(8, 74)(9, 71)(10, 72)(11, 77)(12, 78)(13, 75)(14, 76)(15, 81)(16, 82)(17, 79)(18, 80)(19, 85)(20, 86)(21, 83)(22, 84)(23, 89)(24, 90)(25, 87)(26, 88)(27, 93)(28, 94)(29, 91)(30, 92)(31, 96)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 2, 64, 2, 64 ), ( 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64 ) }
Outer automorphisms :: reflexible
Dual of E8.241
Graph:: bipartite
	v = 17 e = 64 f = 33
	degree seq :: [ 4^16, 64 ]

E8.241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|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 * Y1^16 ]
Map::
	R = (1, 33, 2, 34, 5, 37, 9, 41, 13, 45, 17, 49, 21, 53, 25, 57, 29, 61, 31, 63, 27, 59, 23, 55, 19, 51, 15, 47, 11, 43, 7, 39, 3, 35, 6, 38, 10, 42, 14, 46, 18, 50, 22, 54, 26, 58, 30, 62, 32, 64, 28, 60, 24, 56, 20, 52, 16, 48, 12, 44, 8, 40, 4, 36)(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, 70)(3, 65)(4, 71)(5, 74)(6, 66)(7, 68)(8, 75)(9, 78)(10, 69)(11, 72)(12, 79)(13, 82)(14, 73)(15, 76)(16, 83)(17, 86)(18, 77)(19, 80)(20, 87)(21, 90)(22, 81)(23, 84)(24, 91)(25, 94)(26, 85)(27, 88)(28, 95)(29, 96)(30, 89)(31, 92)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E8.240
Graph:: bipartite
	v = 33 e = 64 f = 17
	degree seq :: [ 2^32, 64 ]

E8.242 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 17, 34})
Quotient :: regular
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-17 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 34, 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, 33)
	local type(s) :: { ( 17^34 ) }
Outer automorphisms :: reflexible
Dual of E8.243
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 17 f = 2
	degree seq :: [ 34 ]

E8.243 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 17, 34})
Quotient :: regular
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^17 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 33, 34, 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, 33)(32, 34)
	local type(s) :: { ( 34^17 ) }
Outer automorphisms :: reflexible
Dual of E8.242
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 17 f = 1
	degree seq :: [ 17^2 ]

E8.244 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 17, 34})
Quotient :: edge
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^17 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 34, 30, 26, 22, 18, 14, 10, 6)(35, 36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48)(49, 51)(50, 52)(53, 55)(54, 56)(57, 59)(58, 60)(61, 63)(62, 64)(65, 67)(66, 68)
	L = (1, 35)(2, 36)(3, 37)(4, 38)(5, 39)(6, 40)(7, 41)(8, 42)(9, 43)(10, 44)(11, 45)(12, 46)(13, 47)(14, 48)(15, 49)(16, 50)(17, 51)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 68, 68 ), ( 68^17 ) }
Outer automorphisms :: reflexible
Dual of E8.248
Transitivity :: ET+
Graph:: simple bipartite
	v = 19 e = 34 f = 1
	degree seq :: [ 2^17, 17^2 ]

E8.245 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 17, 34})
Quotient :: edge
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^6 * T2^-1 * T1 * T2^-7, T2^-2 * T1^15, T2^5 * T1^4 * T2^-1 * T1^7 * T2^-1 * T1^7 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 31, 28, 23, 20, 15, 12, 6, 5)(35, 36, 40, 45, 49, 53, 57, 61, 65, 67, 64, 59, 56, 51, 48, 43, 38)(37, 41, 39, 42, 46, 50, 54, 58, 62, 66, 68, 63, 60, 55, 52, 47, 44)
	L = (1, 35)(2, 36)(3, 37)(4, 38)(5, 39)(6, 40)(7, 41)(8, 42)(9, 43)(10, 44)(11, 45)(12, 46)(13, 47)(14, 48)(15, 49)(16, 50)(17, 51)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 4^17 ), ( 4^34 ) }
Outer automorphisms :: reflexible
Dual of E8.249
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 34 f = 17
	degree seq :: [ 17^2, 34 ]

E8.246 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 17, 34})
Quotient :: edge
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-17 ]
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, 33)(35, 36, 39, 43, 47, 51, 55, 59, 63, 67, 65, 61, 57, 53, 49, 45, 41, 37, 40, 44, 48, 52, 56, 60, 64, 68, 66, 62, 58, 54, 50, 46, 42, 38)
	L = (1, 35)(2, 36)(3, 37)(4, 38)(5, 39)(6, 40)(7, 41)(8, 42)(9, 43)(10, 44)(11, 45)(12, 46)(13, 47)(14, 48)(15, 49)(16, 50)(17, 51)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 34, 34 ), ( 34^34 ) }
Outer automorphisms :: reflexible
Dual of E8.247
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 34 f = 2
	degree seq :: [ 2^17, 34 ]

E8.247 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 17, 34})
Quotient :: loop
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^17 ]
Map::
	R = (1, 35, 3, 37, 7, 41, 11, 45, 15, 49, 19, 53, 23, 57, 27, 61, 31, 65, 32, 66, 28, 62, 24, 58, 20, 54, 16, 50, 12, 46, 8, 42, 4, 38)(2, 36, 5, 39, 9, 43, 13, 47, 17, 51, 21, 55, 25, 59, 29, 63, 33, 67, 34, 68, 30, 64, 26, 60, 22, 56, 18, 52, 14, 48, 10, 44, 6, 40)
	L = (1, 36)(2, 35)(3, 39)(4, 40)(5, 37)(6, 38)(7, 43)(8, 44)(9, 41)(10, 42)(11, 47)(12, 48)(13, 45)(14, 46)(15, 51)(16, 52)(17, 49)(18, 50)(19, 55)(20, 56)(21, 53)(22, 54)(23, 59)(24, 60)(25, 57)(26, 58)(27, 63)(28, 64)(29, 61)(30, 62)(31, 67)(32, 68)(33, 65)(34, 66)
	local type(s) :: { ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.246
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 34 f = 18
	degree seq :: [ 34^2 ]

E8.248 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 17, 34})
Quotient :: loop
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^6 * T2^-1 * T1 * T2^-7, T2^-2 * T1^15, T2^5 * T1^4 * T2^-1 * T1^7 * T2^-1 * T1^7 * T2^-1 * T1 ]
Map::
	R = (1, 35, 3, 37, 9, 43, 13, 47, 17, 51, 21, 55, 25, 59, 29, 63, 33, 67, 32, 66, 27, 61, 24, 58, 19, 53, 16, 50, 11, 45, 8, 42, 2, 36, 7, 41, 4, 38, 10, 44, 14, 48, 18, 52, 22, 56, 26, 60, 30, 64, 34, 68, 31, 65, 28, 62, 23, 57, 20, 54, 15, 49, 12, 46, 6, 40, 5, 39)
	L = (1, 36)(2, 40)(3, 41)(4, 35)(5, 42)(6, 45)(7, 39)(8, 46)(9, 38)(10, 37)(11, 49)(12, 50)(13, 44)(14, 43)(15, 53)(16, 54)(17, 48)(18, 47)(19, 57)(20, 58)(21, 52)(22, 51)(23, 61)(24, 62)(25, 56)(26, 55)(27, 65)(28, 66)(29, 60)(30, 59)(31, 67)(32, 68)(33, 64)(34, 63)
	local type(s) :: { ( 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17 ) }
Outer automorphisms :: reflexible
Dual of E8.244
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 34 f = 19
	degree seq :: [ 68 ]

E8.249 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 17, 34})
Quotient :: loop
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-17 ]
Map:: non-degenerate
	R = (1, 35, 3, 37)(2, 36, 6, 40)(4, 38, 7, 41)(5, 39, 10, 44)(8, 42, 11, 45)(9, 43, 14, 48)(12, 46, 15, 49)(13, 47, 18, 52)(16, 50, 19, 53)(17, 51, 22, 56)(20, 54, 23, 57)(21, 55, 26, 60)(24, 58, 27, 61)(25, 59, 30, 64)(28, 62, 31, 65)(29, 63, 34, 68)(32, 66, 33, 67)
	L = (1, 36)(2, 39)(3, 40)(4, 35)(5, 43)(6, 44)(7, 37)(8, 38)(9, 47)(10, 48)(11, 41)(12, 42)(13, 51)(14, 52)(15, 45)(16, 46)(17, 55)(18, 56)(19, 49)(20, 50)(21, 59)(22, 60)(23, 53)(24, 54)(25, 63)(26, 64)(27, 57)(28, 58)(29, 67)(30, 68)(31, 61)(32, 62)(33, 65)(34, 66)
	local type(s) :: { ( 17, 34, 17, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.245
Transitivity :: ET+ VT+ AT
Graph::
	v = 17 e = 34 f = 3
	degree seq :: [ 4^17 ]

E8.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^17, (Y3 * Y2^-1)^34 ]
Map::
	R = (1, 35, 2, 36)(3, 37, 5, 39)(4, 38, 6, 40)(7, 41, 9, 43)(8, 42, 10, 44)(11, 45, 13, 47)(12, 46, 14, 48)(15, 49, 17, 51)(16, 50, 18, 52)(19, 53, 21, 55)(20, 54, 22, 56)(23, 57, 25, 59)(24, 58, 26, 60)(27, 61, 29, 63)(28, 62, 30, 64)(31, 65, 33, 67)(32, 66, 34, 68)(69, 103, 71, 105, 75, 109, 79, 113, 83, 117, 87, 121, 91, 125, 95, 129, 99, 133, 100, 134, 96, 130, 92, 126, 88, 122, 84, 118, 80, 114, 76, 110, 72, 106)(70, 104, 73, 107, 77, 111, 81, 115, 85, 119, 89, 123, 93, 127, 97, 131, 101, 135, 102, 136, 98, 132, 94, 128, 90, 124, 86, 120, 82, 116, 78, 112, 74, 108)
	L = (1, 70)(2, 69)(3, 73)(4, 74)(5, 71)(6, 72)(7, 77)(8, 78)(9, 75)(10, 76)(11, 81)(12, 82)(13, 79)(14, 80)(15, 85)(16, 86)(17, 83)(18, 84)(19, 89)(20, 90)(21, 87)(22, 88)(23, 93)(24, 94)(25, 91)(26, 92)(27, 97)(28, 98)(29, 95)(30, 96)(31, 101)(32, 102)(33, 99)(34, 100)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 2, 68, 2, 68 ), ( 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68 ) }
Outer automorphisms :: reflexible
Dual of E8.253
Graph:: bipartite
	v = 19 e = 68 f = 35
	degree seq :: [ 4^17, 34^2 ]

E8.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^2 * Y1^2, (R * Y1)^2, R * Y2 * R * Y3, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^16, Y1^17 ]
Map::
	R = (1, 35, 2, 36, 6, 40, 11, 45, 15, 49, 19, 53, 23, 57, 27, 61, 31, 65, 33, 67, 30, 64, 25, 59, 22, 56, 17, 51, 14, 48, 9, 43, 4, 38)(3, 37, 7, 41, 5, 39, 8, 42, 12, 46, 16, 50, 20, 54, 24, 58, 28, 62, 32, 66, 34, 68, 29, 63, 26, 60, 21, 55, 18, 52, 13, 47, 10, 44)(69, 103, 71, 105, 77, 111, 81, 115, 85, 119, 89, 123, 93, 127, 97, 131, 101, 135, 100, 134, 95, 129, 92, 126, 87, 121, 84, 118, 79, 113, 76, 110, 70, 104, 75, 109, 72, 106, 78, 112, 82, 116, 86, 120, 90, 124, 94, 128, 98, 132, 102, 136, 99, 133, 96, 130, 91, 125, 88, 122, 83, 117, 80, 114, 74, 108, 73, 107)
	L = (1, 71)(2, 75)(3, 77)(4, 78)(5, 69)(6, 73)(7, 72)(8, 70)(9, 81)(10, 82)(11, 76)(12, 74)(13, 85)(14, 86)(15, 80)(16, 79)(17, 89)(18, 90)(19, 84)(20, 83)(21, 93)(22, 94)(23, 88)(24, 87)(25, 97)(26, 98)(27, 92)(28, 91)(29, 101)(30, 102)(31, 96)(32, 95)(33, 100)(34, 99)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	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 ) }
Outer automorphisms :: reflexible
Dual of E8.252
Graph:: bipartite
	v = 3 e = 68 f = 51
	degree seq :: [ 34^2, 68 ]

E8.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^17 * Y2, (Y3^-1 * Y1^-1)^34 ]
Map::
	R = (1, 35)(2, 36)(3, 37)(4, 38)(5, 39)(6, 40)(7, 41)(8, 42)(9, 43)(10, 44)(11, 45)(12, 46)(13, 47)(14, 48)(15, 49)(16, 50)(17, 51)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)(69, 103, 70, 104)(71, 105, 73, 107)(72, 106, 74, 108)(75, 109, 77, 111)(76, 110, 78, 112)(79, 113, 81, 115)(80, 114, 82, 116)(83, 117, 85, 119)(84, 118, 86, 120)(87, 121, 89, 123)(88, 122, 90, 124)(91, 125, 93, 127)(92, 126, 94, 128)(95, 129, 97, 131)(96, 130, 98, 132)(99, 133, 101, 135)(100, 134, 102, 136)
	L = (1, 71)(2, 73)(3, 75)(4, 69)(5, 77)(6, 70)(7, 79)(8, 72)(9, 81)(10, 74)(11, 83)(12, 76)(13, 85)(14, 78)(15, 87)(16, 80)(17, 89)(18, 82)(19, 91)(20, 84)(21, 93)(22, 86)(23, 95)(24, 88)(25, 97)(26, 90)(27, 99)(28, 92)(29, 101)(30, 94)(31, 102)(32, 96)(33, 100)(34, 98)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 34, 68 ), ( 34, 68, 34, 68 ) }
Outer automorphisms :: reflexible
Dual of E8.251
Graph:: simple bipartite
	v = 51 e = 68 f = 3
	degree seq :: [ 2^34, 4^17 ]

E8.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-17 ]
Map::
	R = (1, 35, 2, 36, 5, 39, 9, 43, 13, 47, 17, 51, 21, 55, 25, 59, 29, 63, 33, 67, 31, 65, 27, 61, 23, 57, 19, 53, 15, 49, 11, 45, 7, 41, 3, 37, 6, 40, 10, 44, 14, 48, 18, 52, 22, 56, 26, 60, 30, 64, 34, 68, 32, 66, 28, 62, 24, 58, 20, 54, 16, 50, 12, 46, 8, 42, 4, 38)(69, 103)(70, 104)(71, 105)(72, 106)(73, 107)(74, 108)(75, 109)(76, 110)(77, 111)(78, 112)(79, 113)(80, 114)(81, 115)(82, 116)(83, 117)(84, 118)(85, 119)(86, 120)(87, 121)(88, 122)(89, 123)(90, 124)(91, 125)(92, 126)(93, 127)(94, 128)(95, 129)(96, 130)(97, 131)(98, 132)(99, 133)(100, 134)(101, 135)(102, 136)
	L = (1, 71)(2, 74)(3, 69)(4, 75)(5, 78)(6, 70)(7, 72)(8, 79)(9, 82)(10, 73)(11, 76)(12, 83)(13, 86)(14, 77)(15, 80)(16, 87)(17, 90)(18, 81)(19, 84)(20, 91)(21, 94)(22, 85)(23, 88)(24, 95)(25, 98)(26, 89)(27, 92)(28, 99)(29, 102)(30, 93)(31, 96)(32, 101)(33, 100)(34, 97)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 34 ), ( 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.250
Graph:: bipartite
	v = 35 e = 68 f = 19
	degree seq :: [ 2^34, 68 ]

E8.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^17 * Y1, (Y3 * Y2^-1)^17 ]
Map::
	R = (1, 35, 2, 36)(3, 37, 5, 39)(4, 38, 6, 40)(7, 41, 9, 43)(8, 42, 10, 44)(11, 45, 13, 47)(12, 46, 14, 48)(15, 49, 17, 51)(16, 50, 18, 52)(19, 53, 21, 55)(20, 54, 22, 56)(23, 57, 25, 59)(24, 58, 26, 60)(27, 61, 29, 63)(28, 62, 30, 64)(31, 65, 33, 67)(32, 66, 34, 68)(69, 103, 71, 105, 75, 109, 79, 113, 83, 117, 87, 121, 91, 125, 95, 129, 99, 133, 102, 136, 98, 132, 94, 128, 90, 124, 86, 120, 82, 116, 78, 112, 74, 108, 70, 104, 73, 107, 77, 111, 81, 115, 85, 119, 89, 123, 93, 127, 97, 131, 101, 135, 100, 134, 96, 130, 92, 126, 88, 122, 84, 118, 80, 114, 76, 110, 72, 106)
	L = (1, 70)(2, 69)(3, 73)(4, 74)(5, 71)(6, 72)(7, 77)(8, 78)(9, 75)(10, 76)(11, 81)(12, 82)(13, 79)(14, 80)(15, 85)(16, 86)(17, 83)(18, 84)(19, 89)(20, 90)(21, 87)(22, 88)(23, 93)(24, 94)(25, 91)(26, 92)(27, 97)(28, 98)(29, 95)(30, 96)(31, 101)(32, 102)(33, 99)(34, 100)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 2, 34, 2, 34 ), ( 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34, 2, 34 ) }
Outer automorphisms :: reflexible
Dual of E8.255
Graph:: bipartite
	v = 18 e = 68 f = 36
	degree seq :: [ 4^17, 68 ]

E8.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 17, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^16, Y1^6 * Y3^-1 * Y1^2 * Y3^-7 * Y1, Y1^17, (Y3 * Y2^-1)^34 ]
Map::
	R = (1, 35, 2, 36, 6, 40, 11, 45, 15, 49, 19, 53, 23, 57, 27, 61, 31, 65, 33, 67, 30, 64, 25, 59, 22, 56, 17, 51, 14, 48, 9, 43, 4, 38)(3, 37, 7, 41, 5, 39, 8, 42, 12, 46, 16, 50, 20, 54, 24, 58, 28, 62, 32, 66, 34, 68, 29, 63, 26, 60, 21, 55, 18, 52, 13, 47, 10, 44)(69, 103)(70, 104)(71, 105)(72, 106)(73, 107)(74, 108)(75, 109)(76, 110)(77, 111)(78, 112)(79, 113)(80, 114)(81, 115)(82, 116)(83, 117)(84, 118)(85, 119)(86, 120)(87, 121)(88, 122)(89, 123)(90, 124)(91, 125)(92, 126)(93, 127)(94, 128)(95, 129)(96, 130)(97, 131)(98, 132)(99, 133)(100, 134)(101, 135)(102, 136)
	L = (1, 71)(2, 75)(3, 77)(4, 78)(5, 69)(6, 73)(7, 72)(8, 70)(9, 81)(10, 82)(11, 76)(12, 74)(13, 85)(14, 86)(15, 80)(16, 79)(17, 89)(18, 90)(19, 84)(20, 83)(21, 93)(22, 94)(23, 88)(24, 87)(25, 97)(26, 98)(27, 92)(28, 91)(29, 101)(30, 102)(31, 96)(32, 95)(33, 100)(34, 99)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 68 ), ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E8.254
Graph:: simple bipartite
	v = 36 e = 68 f = 18
	degree seq :: [ 2^34, 34^2 ]

E8.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 9})
Quotient :: dipole
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 8, 44)(6, 42, 10, 46)(7, 43, 11, 47)(9, 45, 13, 49)(12, 48, 16, 52)(14, 50, 18, 54)(15, 51, 19, 55)(17, 53, 21, 57)(20, 56, 24, 60)(22, 58, 26, 62)(23, 59, 27, 63)(25, 61, 29, 65)(28, 64, 32, 68)(30, 66, 34, 70)(31, 67, 35, 71)(33, 69, 36, 72)(73, 109, 75, 111)(74, 110, 77, 113)(76, 112, 79, 115)(78, 114, 81, 117)(80, 116, 83, 119)(82, 118, 85, 121)(84, 120, 87, 123)(86, 122, 89, 125)(88, 124, 91, 127)(90, 126, 93, 129)(92, 128, 95, 131)(94, 130, 97, 133)(96, 132, 99, 135)(98, 134, 101, 137)(100, 136, 103, 139)(102, 138, 105, 141)(104, 140, 107, 143)(106, 142, 108, 144)
	L = (1, 76)(2, 78)(3, 79)(4, 73)(5, 81)(6, 74)(7, 75)(8, 84)(9, 77)(10, 86)(11, 87)(12, 80)(13, 89)(14, 82)(15, 83)(16, 92)(17, 85)(18, 94)(19, 95)(20, 88)(21, 97)(22, 90)(23, 91)(24, 100)(25, 93)(26, 102)(27, 103)(28, 96)(29, 105)(30, 98)(31, 99)(32, 106)(33, 101)(34, 104)(35, 108)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.257
Graph:: simple bipartite
	v = 36 e = 72 f = 22
	degree seq :: [ 4^36 ]

E8.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 9})
Quotient :: dipole
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (Y3 * Y1^-1)^2, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 6, 42, 13, 49, 21, 57, 28, 64, 20, 56, 12, 48, 5, 41)(3, 39, 9, 45, 17, 53, 25, 61, 32, 68, 29, 65, 22, 58, 14, 50, 7, 43)(4, 40, 11, 47, 19, 55, 27, 63, 34, 70, 30, 66, 23, 59, 15, 51, 8, 44)(10, 46, 16, 52, 24, 60, 31, 67, 35, 71, 36, 72, 33, 69, 26, 62, 18, 54)(73, 109, 75, 111)(74, 110, 79, 115)(76, 112, 82, 118)(77, 113, 81, 117)(78, 114, 86, 122)(80, 116, 88, 124)(83, 119, 90, 126)(84, 120, 89, 125)(85, 121, 94, 130)(87, 123, 96, 132)(91, 127, 98, 134)(92, 128, 97, 133)(93, 129, 101, 137)(95, 131, 103, 139)(99, 135, 105, 141)(100, 136, 104, 140)(102, 138, 107, 143)(106, 142, 108, 144)
	L = (1, 76)(2, 80)(3, 82)(4, 73)(5, 83)(6, 87)(7, 88)(8, 74)(9, 90)(10, 75)(11, 77)(12, 91)(13, 95)(14, 96)(15, 78)(16, 79)(17, 98)(18, 81)(19, 84)(20, 99)(21, 102)(22, 103)(23, 85)(24, 86)(25, 105)(26, 89)(27, 92)(28, 106)(29, 107)(30, 93)(31, 94)(32, 108)(33, 97)(34, 100)(35, 101)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4^4 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E8.256
Graph:: simple bipartite
	v = 22 e = 72 f = 36
	degree seq :: [ 4^18, 18^4 ]

E8.258 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 9})
Quotient :: edge
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1 * T2 * T1^-1, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 28, 20, 12, 5)(2, 7, 15, 23, 31, 32, 24, 16, 8)(4, 11, 19, 27, 34, 33, 26, 18, 10)(6, 13, 21, 29, 35, 36, 30, 22, 14)(37, 38, 42, 40)(39, 44, 49, 46)(41, 43, 50, 47)(45, 52, 57, 54)(48, 51, 58, 55)(53, 60, 65, 62)(56, 59, 66, 63)(61, 68, 71, 69)(64, 67, 72, 70)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 8^4 ), ( 8^9 ) }
Outer automorphisms :: reflexible
Dual of E8.259
Transitivity :: ET+
Graph:: simple bipartite
	v = 13 e = 36 f = 9
	degree seq :: [ 4^9, 9^4 ]

E8.259 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 9})
Quotient :: loop
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, T2^-2 * T1^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1)^9 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 6, 42, 5, 41)(2, 38, 7, 43, 4, 40, 8, 44)(9, 45, 13, 49, 10, 46, 14, 50)(11, 47, 15, 51, 12, 48, 16, 52)(17, 53, 21, 57, 18, 54, 22, 58)(19, 55, 23, 59, 20, 56, 24, 60)(25, 61, 29, 65, 26, 62, 30, 66)(27, 63, 31, 67, 28, 64, 32, 68)(33, 69, 36, 72, 34, 70, 35, 71)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 46)(6, 40)(7, 47)(8, 48)(9, 41)(10, 39)(11, 44)(12, 43)(13, 53)(14, 54)(15, 55)(16, 56)(17, 50)(18, 49)(19, 52)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 58)(26, 57)(27, 60)(28, 59)(29, 69)(30, 70)(31, 71)(32, 72)(33, 66)(34, 65)(35, 68)(36, 67)
	local type(s) :: { ( 4, 9, 4, 9, 4, 9, 4, 9 ) }
Outer automorphisms :: reflexible
Dual of E8.258
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 36 f = 13
	degree seq :: [ 8^9 ]

E8.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 9})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y2^9 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 8, 44, 13, 49, 10, 46)(5, 41, 7, 43, 14, 50, 11, 47)(9, 45, 16, 52, 21, 57, 18, 54)(12, 48, 15, 51, 22, 58, 19, 55)(17, 53, 24, 60, 29, 65, 26, 62)(20, 56, 23, 59, 30, 66, 27, 63)(25, 61, 32, 68, 35, 71, 33, 69)(28, 64, 31, 67, 36, 72, 34, 70)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 100, 136, 92, 128, 84, 120, 77, 113)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 104, 140, 96, 132, 88, 124, 80, 116)(76, 112, 83, 119, 91, 127, 99, 135, 106, 142, 105, 141, 98, 134, 90, 126, 82, 118)(78, 114, 85, 121, 93, 129, 101, 137, 107, 143, 108, 144, 102, 138, 94, 130, 86, 122)
	L = (1, 75)(2, 79)(3, 81)(4, 83)(5, 73)(6, 85)(7, 87)(8, 74)(9, 89)(10, 76)(11, 91)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 82)(19, 99)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 100)(26, 90)(27, 106)(28, 92)(29, 107)(30, 94)(31, 104)(32, 96)(33, 98)(34, 105)(35, 108)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 8, 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 E8.261
Graph:: bipartite
	v = 13 e = 72 f = 45
	degree seq :: [ 8^9, 18^4 ]

E8.261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 9})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)(73, 109, 74, 110, 78, 114, 76, 112)(75, 111, 80, 116, 85, 121, 82, 118)(77, 113, 79, 115, 86, 122, 83, 119)(81, 117, 88, 124, 93, 129, 90, 126)(84, 120, 87, 123, 94, 130, 91, 127)(89, 125, 96, 132, 101, 137, 98, 134)(92, 128, 95, 131, 102, 138, 99, 135)(97, 133, 104, 140, 107, 143, 105, 141)(100, 136, 103, 139, 108, 144, 106, 142)
	L = (1, 75)(2, 79)(3, 81)(4, 83)(5, 73)(6, 85)(7, 87)(8, 74)(9, 89)(10, 76)(11, 91)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 82)(19, 99)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 100)(26, 90)(27, 106)(28, 92)(29, 107)(30, 94)(31, 104)(32, 96)(33, 98)(34, 105)(35, 108)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.260
Graph:: simple bipartite
	v = 45 e = 72 f = 13
	degree seq :: [ 2^36, 8^9 ]

E8.262 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 18, 18})
Quotient :: regular
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^18 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 34, 36, 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, 36)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 18 f = 2
	degree seq :: [ 18^2 ]

E8.263 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 18, 18})
Quotient :: edge
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^18 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 36, 34, 30, 26, 22, 18, 14, 10, 6)(37, 38)(39, 41)(40, 42)(43, 45)(44, 46)(47, 49)(48, 50)(51, 53)(52, 54)(55, 57)(56, 58)(59, 61)(60, 62)(63, 65)(64, 66)(67, 69)(68, 70)(71, 72)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E8.264
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 36 f = 2
	degree seq :: [ 2^18, 18^2 ]

E8.264 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 18, 18})
Quotient :: loop
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^18 ]
Map::
	R = (1, 37, 3, 39, 7, 43, 11, 47, 15, 51, 19, 55, 23, 59, 27, 63, 31, 67, 35, 71, 32, 68, 28, 64, 24, 60, 20, 56, 16, 52, 12, 48, 8, 44, 4, 40)(2, 38, 5, 41, 9, 45, 13, 49, 17, 53, 21, 57, 25, 61, 29, 65, 33, 69, 36, 72, 34, 70, 30, 66, 26, 62, 22, 58, 18, 54, 14, 50, 10, 46, 6, 42)
	L = (1, 38)(2, 37)(3, 41)(4, 42)(5, 39)(6, 40)(7, 45)(8, 46)(9, 43)(10, 44)(11, 49)(12, 50)(13, 47)(14, 48)(15, 53)(16, 54)(17, 51)(18, 52)(19, 57)(20, 58)(21, 55)(22, 56)(23, 61)(24, 62)(25, 59)(26, 60)(27, 65)(28, 66)(29, 63)(30, 64)(31, 69)(32, 70)(33, 67)(34, 68)(35, 72)(36, 71)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.263
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 36 f = 20
	degree seq :: [ 36^2 ]

E8.265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^18, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 6, 42)(7, 43, 9, 45)(8, 44, 10, 46)(11, 47, 13, 49)(12, 48, 14, 50)(15, 51, 17, 53)(16, 52, 18, 54)(19, 55, 21, 57)(20, 56, 22, 58)(23, 59, 25, 61)(24, 60, 26, 62)(27, 63, 29, 65)(28, 64, 30, 66)(31, 67, 33, 69)(32, 68, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 79, 115, 83, 119, 87, 123, 91, 127, 95, 131, 99, 135, 103, 139, 107, 143, 104, 140, 100, 136, 96, 132, 92, 128, 88, 124, 84, 120, 80, 116, 76, 112)(74, 110, 77, 113, 81, 117, 85, 121, 89, 125, 93, 129, 97, 133, 101, 137, 105, 141, 108, 144, 106, 142, 102, 138, 98, 134, 94, 130, 90, 126, 86, 122, 82, 118, 78, 114)
	L = (1, 74)(2, 73)(3, 77)(4, 78)(5, 75)(6, 76)(7, 81)(8, 82)(9, 79)(10, 80)(11, 85)(12, 86)(13, 83)(14, 84)(15, 89)(16, 90)(17, 87)(18, 88)(19, 93)(20, 94)(21, 91)(22, 92)(23, 97)(24, 98)(25, 95)(26, 96)(27, 101)(28, 102)(29, 99)(30, 100)(31, 105)(32, 106)(33, 103)(34, 104)(35, 108)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.266
Graph:: bipartite
	v = 20 e = 72 f = 38
	degree seq :: [ 4^18, 36^2 ]

E8.266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|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^-18, Y1^18 ]
Map::
	R = (1, 37, 2, 38, 5, 41, 9, 45, 13, 49, 17, 53, 21, 57, 25, 61, 29, 65, 33, 69, 32, 68, 28, 64, 24, 60, 20, 56, 16, 52, 12, 48, 8, 44, 4, 40)(3, 39, 6, 42, 10, 46, 14, 50, 18, 54, 22, 58, 26, 62, 30, 66, 34, 70, 36, 72, 35, 71, 31, 67, 27, 63, 23, 59, 19, 55, 15, 51, 11, 47, 7, 43)(73, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 117)(82, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 130)(95, 131)(96, 132)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)
	L = (1, 75)(2, 78)(3, 73)(4, 79)(5, 82)(6, 74)(7, 76)(8, 83)(9, 86)(10, 77)(11, 80)(12, 87)(13, 90)(14, 81)(15, 84)(16, 91)(17, 94)(18, 85)(19, 88)(20, 95)(21, 98)(22, 89)(23, 92)(24, 99)(25, 102)(26, 93)(27, 96)(28, 103)(29, 106)(30, 97)(31, 100)(32, 107)(33, 108)(34, 101)(35, 104)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.265
Graph:: simple bipartite
	v = 38 e = 72 f = 20
	degree seq :: [ 2^36, 36^2 ]

E8.267 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 20})
Quotient :: regular
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2 * T1^-2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-3 * T2 * T1^-7 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 33, 25, 16, 24, 15, 23, 32, 40, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 35, 27, 18, 9, 14, 6, 13, 21, 31, 38, 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, 37)(36, 39)
	local type(s) :: { ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E8.268
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 20 f = 4
	degree seq :: [ 20^2 ]

E8.268 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 20})
Quotient :: regular
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2 * T1, (T1 * T2 * T1^-1 * T2)^2, T1^10, T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 28, 19, 10, 4)(3, 7, 12, 22, 30, 37, 34, 26, 17, 8)(6, 13, 21, 31, 36, 35, 27, 18, 9, 14)(15, 23, 32, 38, 40, 39, 33, 25, 16, 24)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 36)(31, 38)(35, 39)(37, 40)
	local type(s) :: { ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E8.267
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 20 f = 2
	degree seq :: [ 10^4 ]

E8.269 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 20})
Quotient :: edge
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2^-1 * T1 * T2 * T1)^2, T2^10, T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 3, 8, 17, 26, 34, 28, 19, 10, 4)(2, 5, 12, 22, 30, 37, 32, 24, 14, 6)(7, 15, 25, 33, 39, 35, 27, 18, 9, 16)(11, 20, 29, 36, 40, 38, 31, 23, 13, 21)(41, 42)(43, 47)(44, 49)(45, 51)(46, 53)(48, 52)(50, 54)(55, 60)(56, 61)(57, 65)(58, 63)(59, 67)(62, 69)(64, 71)(66, 70)(68, 72)(73, 76)(74, 79)(75, 78)(77, 80)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40, 40 ), ( 40^10 ) }
Outer automorphisms :: reflexible
Dual of E8.273
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 40 f = 2
	degree seq :: [ 2^20, 10^4 ]

E8.270 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 20})
Quotient :: edge
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^-2 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-3, T2^8 * T1^-2, T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 33, 39, 32, 18, 6, 17, 30, 20, 13, 27, 36, 38, 28, 21, 15, 5)(2, 7, 19, 11, 26, 34, 40, 29, 16, 14, 23, 9, 4, 12, 25, 35, 37, 31, 22, 8)(41, 42, 46, 56, 68, 77, 73, 66, 53, 44)(43, 49, 57, 48, 61, 69, 79, 75, 67, 51)(45, 54, 58, 71, 78, 74, 64, 52, 60, 47)(50, 59, 70, 63, 55, 62, 72, 80, 76, 65)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4^10 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E8.274
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 40 f = 20
	degree seq :: [ 10^4, 20^2 ]

E8.271 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 20})
Quotient :: edge
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2 * T1^-2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-7 * T2 * T1^-3 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 37)(36, 39)(41, 42, 45, 51, 60, 69, 77, 73, 65, 56, 64, 55, 63, 72, 80, 76, 68, 59, 50, 44)(43, 47, 52, 62, 70, 79, 75, 67, 58, 49, 54, 46, 53, 61, 71, 78, 74, 66, 57, 48)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 20 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E8.272
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 40 f = 4
	degree seq :: [ 2^20, 20^2 ]

E8.272 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 20})
Quotient :: loop
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2^-1 * T1 * T2 * T1)^2, T2^10, T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 41, 3, 43, 8, 48, 17, 57, 26, 66, 34, 74, 28, 68, 19, 59, 10, 50, 4, 44)(2, 42, 5, 45, 12, 52, 22, 62, 30, 70, 37, 77, 32, 72, 24, 64, 14, 54, 6, 46)(7, 47, 15, 55, 25, 65, 33, 73, 39, 79, 35, 75, 27, 67, 18, 58, 9, 49, 16, 56)(11, 51, 20, 60, 29, 69, 36, 76, 40, 80, 38, 78, 31, 71, 23, 63, 13, 53, 21, 61)
	L = (1, 42)(2, 41)(3, 47)(4, 49)(5, 51)(6, 53)(7, 43)(8, 52)(9, 44)(10, 54)(11, 45)(12, 48)(13, 46)(14, 50)(15, 60)(16, 61)(17, 65)(18, 63)(19, 67)(20, 55)(21, 56)(22, 69)(23, 58)(24, 71)(25, 57)(26, 70)(27, 59)(28, 72)(29, 62)(30, 66)(31, 64)(32, 68)(33, 76)(34, 79)(35, 78)(36, 73)(37, 80)(38, 75)(39, 74)(40, 77)
	local type(s) :: { ( 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 E8.271
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 22
	degree seq :: [ 20^4 ]

E8.273 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 20})
Quotient :: loop
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^-2 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-3, T2^8 * T1^-2, T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-3 ]
Map::
	R = (1, 41, 3, 43, 10, 50, 24, 64, 33, 73, 39, 79, 32, 72, 18, 58, 6, 46, 17, 57, 30, 70, 20, 60, 13, 53, 27, 67, 36, 76, 38, 78, 28, 68, 21, 61, 15, 55, 5, 45)(2, 42, 7, 47, 19, 59, 11, 51, 26, 66, 34, 74, 40, 80, 29, 69, 16, 56, 14, 54, 23, 63, 9, 49, 4, 44, 12, 52, 25, 65, 35, 75, 37, 77, 31, 71, 22, 62, 8, 48)
	L = (1, 42)(2, 46)(3, 49)(4, 41)(5, 54)(6, 56)(7, 45)(8, 61)(9, 57)(10, 59)(11, 43)(12, 60)(13, 44)(14, 58)(15, 62)(16, 68)(17, 48)(18, 71)(19, 70)(20, 47)(21, 69)(22, 72)(23, 55)(24, 52)(25, 50)(26, 53)(27, 51)(28, 77)(29, 79)(30, 63)(31, 78)(32, 80)(33, 66)(34, 64)(35, 67)(36, 65)(37, 73)(38, 74)(39, 75)(40, 76)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E8.269
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 24
	degree seq :: [ 40^2 ]

E8.274 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 20})
Quotient :: loop
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2 * T1^-2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-7 * T2 * T1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 41, 3, 43)(2, 42, 6, 46)(4, 44, 9, 49)(5, 45, 12, 52)(7, 47, 15, 55)(8, 48, 16, 56)(10, 50, 17, 57)(11, 51, 21, 61)(13, 53, 23, 63)(14, 54, 24, 64)(18, 58, 25, 65)(19, 59, 27, 67)(20, 60, 30, 70)(22, 62, 32, 72)(26, 66, 33, 73)(28, 68, 34, 74)(29, 69, 38, 78)(31, 71, 40, 80)(35, 75, 37, 77)(36, 76, 39, 79)
	L = (1, 42)(2, 45)(3, 47)(4, 41)(5, 51)(6, 53)(7, 52)(8, 43)(9, 54)(10, 44)(11, 60)(12, 62)(13, 61)(14, 46)(15, 63)(16, 64)(17, 48)(18, 49)(19, 50)(20, 69)(21, 71)(22, 70)(23, 72)(24, 55)(25, 56)(26, 57)(27, 58)(28, 59)(29, 77)(30, 79)(31, 78)(32, 80)(33, 65)(34, 66)(35, 67)(36, 68)(37, 73)(38, 74)(39, 75)(40, 76)
	local type(s) :: { ( 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.270
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 20 e = 40 f = 6
	degree seq :: [ 4^20 ]

E8.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^10, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 11, 51)(6, 46, 13, 53)(8, 48, 12, 52)(10, 50, 14, 54)(15, 55, 20, 60)(16, 56, 21, 61)(17, 57, 25, 65)(18, 58, 23, 63)(19, 59, 27, 67)(22, 62, 29, 69)(24, 64, 31, 71)(26, 66, 30, 70)(28, 68, 32, 72)(33, 73, 36, 76)(34, 74, 39, 79)(35, 75, 38, 78)(37, 77, 40, 80)(81, 121, 83, 123, 88, 128, 97, 137, 106, 146, 114, 154, 108, 148, 99, 139, 90, 130, 84, 124)(82, 122, 85, 125, 92, 132, 102, 142, 110, 150, 117, 157, 112, 152, 104, 144, 94, 134, 86, 126)(87, 127, 95, 135, 105, 145, 113, 153, 119, 159, 115, 155, 107, 147, 98, 138, 89, 129, 96, 136)(91, 131, 100, 140, 109, 149, 116, 156, 120, 160, 118, 158, 111, 151, 103, 143, 93, 133, 101, 141)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 91)(6, 93)(7, 83)(8, 92)(9, 84)(10, 94)(11, 85)(12, 88)(13, 86)(14, 90)(15, 100)(16, 101)(17, 105)(18, 103)(19, 107)(20, 95)(21, 96)(22, 109)(23, 98)(24, 111)(25, 97)(26, 110)(27, 99)(28, 112)(29, 102)(30, 106)(31, 104)(32, 108)(33, 116)(34, 119)(35, 118)(36, 113)(37, 120)(38, 115)(39, 114)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E8.278
Graph:: bipartite
	v = 24 e = 80 f = 42
	degree seq :: [ 4^20, 20^4 ]

E8.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^3 * Y1^-1 * Y2^3 * Y1^-3, Y1^10, Y2^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 16, 56, 28, 68, 37, 77, 33, 73, 26, 66, 13, 53, 4, 44)(3, 43, 9, 49, 17, 57, 8, 48, 21, 61, 29, 69, 39, 79, 35, 75, 27, 67, 11, 51)(5, 45, 14, 54, 18, 58, 31, 71, 38, 78, 34, 74, 24, 64, 12, 52, 20, 60, 7, 47)(10, 50, 19, 59, 30, 70, 23, 63, 15, 55, 22, 62, 32, 72, 40, 80, 36, 76, 25, 65)(81, 121, 83, 123, 90, 130, 104, 144, 113, 153, 119, 159, 112, 152, 98, 138, 86, 126, 97, 137, 110, 150, 100, 140, 93, 133, 107, 147, 116, 156, 118, 158, 108, 148, 101, 141, 95, 135, 85, 125)(82, 122, 87, 127, 99, 139, 91, 131, 106, 146, 114, 154, 120, 160, 109, 149, 96, 136, 94, 134, 103, 143, 89, 129, 84, 124, 92, 132, 105, 145, 115, 155, 117, 157, 111, 151, 102, 142, 88, 128)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 97)(7, 99)(8, 82)(9, 84)(10, 104)(11, 106)(12, 105)(13, 107)(14, 103)(15, 85)(16, 94)(17, 110)(18, 86)(19, 91)(20, 93)(21, 95)(22, 88)(23, 89)(24, 113)(25, 115)(26, 114)(27, 116)(28, 101)(29, 96)(30, 100)(31, 102)(32, 98)(33, 119)(34, 120)(35, 117)(36, 118)(37, 111)(38, 108)(39, 112)(40, 109)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E8.277
Graph:: bipartite
	v = 6 e = 80 f = 60
	degree seq :: [ 20^4, 40^2 ]

E8.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y2 * Y3^-2 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3 * Y2)^2, Y2 * Y3^3 * Y2 * Y3^7, (Y3^-1 * Y1^-1)^20 ]
Map:: polytopal
	R = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)(81, 121, 82, 122)(83, 123, 87, 127)(84, 124, 89, 129)(85, 125, 91, 131)(86, 126, 93, 133)(88, 128, 92, 132)(90, 130, 94, 134)(95, 135, 100, 140)(96, 136, 101, 141)(97, 137, 105, 145)(98, 138, 103, 143)(99, 139, 107, 147)(102, 142, 109, 149)(104, 144, 111, 151)(106, 146, 110, 150)(108, 148, 112, 152)(113, 153, 117, 157)(114, 154, 120, 160)(115, 155, 119, 159)(116, 156, 118, 158)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 92)(6, 82)(7, 95)(8, 97)(9, 96)(10, 84)(11, 100)(12, 102)(13, 101)(14, 86)(15, 105)(16, 87)(17, 106)(18, 89)(19, 90)(20, 109)(21, 91)(22, 110)(23, 93)(24, 94)(25, 113)(26, 114)(27, 98)(28, 99)(29, 117)(30, 118)(31, 103)(32, 104)(33, 120)(34, 119)(35, 107)(36, 108)(37, 116)(38, 115)(39, 111)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 40 ), ( 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E8.276
Graph:: simple bipartite
	v = 60 e = 80 f = 6
	degree seq :: [ 2^40, 4^20 ]

E8.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3^2 * Y1^-1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-8, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 41, 2, 42, 5, 45, 11, 51, 20, 60, 29, 69, 37, 77, 33, 73, 25, 65, 16, 56, 24, 64, 15, 55, 23, 63, 32, 72, 40, 80, 36, 76, 28, 68, 19, 59, 10, 50, 4, 44)(3, 43, 7, 47, 12, 52, 22, 62, 30, 70, 39, 79, 35, 75, 27, 67, 18, 58, 9, 49, 14, 54, 6, 46, 13, 53, 21, 61, 31, 71, 38, 78, 34, 74, 26, 66, 17, 57, 8, 48)(81, 121)(82, 122)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(99, 139)(100, 140)(101, 141)(102, 142)(103, 143)(104, 144)(105, 145)(106, 146)(107, 147)(108, 148)(109, 149)(110, 150)(111, 151)(112, 152)(113, 153)(114, 154)(115, 155)(116, 156)(117, 157)(118, 158)(119, 159)(120, 160)
	L = (1, 83)(2, 86)(3, 81)(4, 89)(5, 92)(6, 82)(7, 95)(8, 96)(9, 84)(10, 97)(11, 101)(12, 85)(13, 103)(14, 104)(15, 87)(16, 88)(17, 90)(18, 105)(19, 107)(20, 110)(21, 91)(22, 112)(23, 93)(24, 94)(25, 98)(26, 113)(27, 99)(28, 114)(29, 118)(30, 100)(31, 120)(32, 102)(33, 106)(34, 108)(35, 117)(36, 119)(37, 115)(38, 109)(39, 116)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.275
Graph:: simple bipartite
	v = 42 e = 80 f = 24
	degree seq :: [ 2^40, 40^2 ]

E8.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^5 * Y1 * Y2^3 * Y1 * Y2^2, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 11, 51)(6, 46, 13, 53)(8, 48, 12, 52)(10, 50, 14, 54)(15, 55, 20, 60)(16, 56, 21, 61)(17, 57, 25, 65)(18, 58, 23, 63)(19, 59, 27, 67)(22, 62, 29, 69)(24, 64, 31, 71)(26, 66, 30, 70)(28, 68, 32, 72)(33, 73, 37, 77)(34, 74, 40, 80)(35, 75, 39, 79)(36, 76, 38, 78)(81, 121, 83, 123, 88, 128, 97, 137, 106, 146, 114, 154, 119, 159, 111, 151, 103, 143, 93, 133, 101, 141, 91, 131, 100, 140, 109, 149, 117, 157, 116, 156, 108, 148, 99, 139, 90, 130, 84, 124)(82, 122, 85, 125, 92, 132, 102, 142, 110, 150, 118, 158, 115, 155, 107, 147, 98, 138, 89, 129, 96, 136, 87, 127, 95, 135, 105, 145, 113, 153, 120, 160, 112, 152, 104, 144, 94, 134, 86, 126)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 91)(6, 93)(7, 83)(8, 92)(9, 84)(10, 94)(11, 85)(12, 88)(13, 86)(14, 90)(15, 100)(16, 101)(17, 105)(18, 103)(19, 107)(20, 95)(21, 96)(22, 109)(23, 98)(24, 111)(25, 97)(26, 110)(27, 99)(28, 112)(29, 102)(30, 106)(31, 104)(32, 108)(33, 117)(34, 120)(35, 119)(36, 118)(37, 113)(38, 116)(39, 115)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.280
Graph:: bipartite
	v = 22 e = 80 f = 44
	degree seq :: [ 4^20, 40^2 ]

E8.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-3, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 16, 56, 28, 68, 37, 77, 33, 73, 26, 66, 13, 53, 4, 44)(3, 43, 9, 49, 17, 57, 8, 48, 21, 61, 29, 69, 39, 79, 35, 75, 27, 67, 11, 51)(5, 45, 14, 54, 18, 58, 31, 71, 38, 78, 34, 74, 24, 64, 12, 52, 20, 60, 7, 47)(10, 50, 19, 59, 30, 70, 23, 63, 15, 55, 22, 62, 32, 72, 40, 80, 36, 76, 25, 65)(81, 121)(82, 122)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(99, 139)(100, 140)(101, 141)(102, 142)(103, 143)(104, 144)(105, 145)(106, 146)(107, 147)(108, 148)(109, 149)(110, 150)(111, 151)(112, 152)(113, 153)(114, 154)(115, 155)(116, 156)(117, 157)(118, 158)(119, 159)(120, 160)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 97)(7, 99)(8, 82)(9, 84)(10, 104)(11, 106)(12, 105)(13, 107)(14, 103)(15, 85)(16, 94)(17, 110)(18, 86)(19, 91)(20, 93)(21, 95)(22, 88)(23, 89)(24, 113)(25, 115)(26, 114)(27, 116)(28, 101)(29, 96)(30, 100)(31, 102)(32, 98)(33, 119)(34, 120)(35, 117)(36, 118)(37, 111)(38, 108)(39, 112)(40, 109)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E8.279
Graph:: simple bipartite
	v = 44 e = 80 f = 22
	degree seq :: [ 2^40, 20^4 ]

E8.281 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 4, 46)(2, 44, 5, 47)(3, 45, 6, 48)(7, 49, 13, 55)(8, 50, 14, 56)(9, 51, 15, 57)(10, 52, 16, 58)(11, 53, 17, 59)(12, 54, 18, 60)(19, 61, 31, 73)(20, 62, 32, 74)(21, 63, 33, 75)(22, 64, 34, 76)(23, 65, 35, 77)(24, 66, 36, 78)(25, 67, 37, 79)(26, 68, 38, 80)(27, 69, 39, 81)(28, 70, 40, 82)(29, 71, 41, 83)(30, 72, 42, 84)(85, 86, 87)(88, 91, 92)(89, 93, 94)(90, 95, 96)(97, 103, 104)(98, 105, 106)(99, 107, 108)(100, 109, 110)(101, 111, 112)(102, 113, 114)(115, 126, 121)(116, 120, 124)(117, 123, 122)(118, 125, 119)(127, 129, 128)(130, 134, 133)(131, 136, 135)(132, 138, 137)(139, 146, 145)(140, 148, 147)(141, 150, 149)(142, 152, 151)(143, 154, 153)(144, 156, 155)(157, 163, 168)(158, 166, 162)(159, 164, 165)(160, 161, 167)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E8.284
Graph:: simple bipartite
	v = 49 e = 84 f = 21
	degree seq :: [ 3^28, 4^21 ]

E8.282 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 4, 46)(2, 44, 5, 47)(3, 45, 6, 48)(7, 49, 13, 55)(8, 50, 14, 56)(9, 51, 15, 57)(10, 52, 16, 58)(11, 53, 17, 59)(12, 54, 18, 60)(19, 61, 31, 73)(20, 62, 32, 74)(21, 63, 33, 75)(22, 64, 34, 76)(23, 65, 35, 77)(24, 66, 36, 78)(25, 67, 37, 79)(26, 68, 38, 80)(27, 69, 39, 81)(28, 70, 40, 82)(29, 71, 41, 83)(30, 72, 42, 84)(85, 86, 87)(88, 91, 92)(89, 93, 94)(90, 95, 96)(97, 103, 104)(98, 105, 106)(99, 107, 108)(100, 109, 110)(101, 111, 112)(102, 113, 114)(115, 126, 120)(116, 123, 122)(117, 121, 125)(118, 124, 119)(127, 129, 128)(130, 134, 133)(131, 136, 135)(132, 138, 137)(139, 146, 145)(140, 148, 147)(141, 150, 149)(142, 152, 151)(143, 154, 153)(144, 156, 155)(157, 162, 168)(158, 164, 165)(159, 167, 163)(160, 161, 166)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E8.283
Graph:: simple bipartite
	v = 49 e = 84 f = 21
	degree seq :: [ 3^28, 4^21 ]

E8.283 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130)(2, 44, 86, 128, 5, 47, 89, 131)(3, 45, 87, 129, 6, 48, 90, 132)(7, 49, 91, 133, 13, 55, 97, 139)(8, 50, 92, 134, 14, 56, 98, 140)(9, 51, 93, 135, 15, 57, 99, 141)(10, 52, 94, 136, 16, 58, 100, 142)(11, 53, 95, 137, 17, 59, 101, 143)(12, 54, 96, 138, 18, 60, 102, 144)(19, 61, 103, 145, 31, 73, 115, 157)(20, 62, 104, 146, 32, 74, 116, 158)(21, 63, 105, 147, 33, 75, 117, 159)(22, 64, 106, 148, 34, 76, 118, 160)(23, 65, 107, 149, 35, 77, 119, 161)(24, 66, 108, 150, 36, 78, 120, 162)(25, 67, 109, 151, 37, 79, 121, 163)(26, 68, 110, 152, 38, 80, 122, 164)(27, 69, 111, 153, 39, 81, 123, 165)(28, 70, 112, 154, 40, 82, 124, 166)(29, 71, 113, 155, 41, 83, 125, 167)(30, 72, 114, 156, 42, 84, 126, 168)
	L = (1, 44)(2, 45)(3, 43)(4, 49)(5, 51)(6, 53)(7, 50)(8, 46)(9, 52)(10, 47)(11, 54)(12, 48)(13, 61)(14, 63)(15, 65)(16, 67)(17, 69)(18, 71)(19, 62)(20, 55)(21, 64)(22, 56)(23, 66)(24, 57)(25, 68)(26, 58)(27, 70)(28, 59)(29, 72)(30, 60)(31, 84)(32, 78)(33, 81)(34, 83)(35, 76)(36, 82)(37, 73)(38, 75)(39, 80)(40, 74)(41, 77)(42, 79)(85, 129)(86, 127)(87, 128)(88, 134)(89, 136)(90, 138)(91, 130)(92, 133)(93, 131)(94, 135)(95, 132)(96, 137)(97, 146)(98, 148)(99, 150)(100, 152)(101, 154)(102, 156)(103, 139)(104, 145)(105, 140)(106, 147)(107, 141)(108, 149)(109, 142)(110, 151)(111, 143)(112, 153)(113, 144)(114, 155)(115, 163)(116, 166)(117, 164)(118, 161)(119, 167)(120, 158)(121, 168)(122, 165)(123, 159)(124, 162)(125, 160)(126, 157)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.282
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 49
	degree seq :: [ 8^21 ]

E8.284 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130)(2, 44, 86, 128, 5, 47, 89, 131)(3, 45, 87, 129, 6, 48, 90, 132)(7, 49, 91, 133, 13, 55, 97, 139)(8, 50, 92, 134, 14, 56, 98, 140)(9, 51, 93, 135, 15, 57, 99, 141)(10, 52, 94, 136, 16, 58, 100, 142)(11, 53, 95, 137, 17, 59, 101, 143)(12, 54, 96, 138, 18, 60, 102, 144)(19, 61, 103, 145, 31, 73, 115, 157)(20, 62, 104, 146, 32, 74, 116, 158)(21, 63, 105, 147, 33, 75, 117, 159)(22, 64, 106, 148, 34, 76, 118, 160)(23, 65, 107, 149, 35, 77, 119, 161)(24, 66, 108, 150, 36, 78, 120, 162)(25, 67, 109, 151, 37, 79, 121, 163)(26, 68, 110, 152, 38, 80, 122, 164)(27, 69, 111, 153, 39, 81, 123, 165)(28, 70, 112, 154, 40, 82, 124, 166)(29, 71, 113, 155, 41, 83, 125, 167)(30, 72, 114, 156, 42, 84, 126, 168)
	L = (1, 44)(2, 45)(3, 43)(4, 49)(5, 51)(6, 53)(7, 50)(8, 46)(9, 52)(10, 47)(11, 54)(12, 48)(13, 61)(14, 63)(15, 65)(16, 67)(17, 69)(18, 71)(19, 62)(20, 55)(21, 64)(22, 56)(23, 66)(24, 57)(25, 68)(26, 58)(27, 70)(28, 59)(29, 72)(30, 60)(31, 84)(32, 81)(33, 79)(34, 82)(35, 76)(36, 73)(37, 83)(38, 74)(39, 80)(40, 77)(41, 75)(42, 78)(85, 129)(86, 127)(87, 128)(88, 134)(89, 136)(90, 138)(91, 130)(92, 133)(93, 131)(94, 135)(95, 132)(96, 137)(97, 146)(98, 148)(99, 150)(100, 152)(101, 154)(102, 156)(103, 139)(104, 145)(105, 140)(106, 147)(107, 141)(108, 149)(109, 142)(110, 151)(111, 143)(112, 153)(113, 144)(114, 155)(115, 162)(116, 164)(117, 167)(118, 161)(119, 166)(120, 168)(121, 159)(122, 165)(123, 158)(124, 160)(125, 163)(126, 157)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.281
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 49
	degree seq :: [ 8^21 ]

E8.285 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 1
Presentation :: [ X1^3, (X2 * X1^-1)^2, X2^6, X1 * X2^2 * X1 * X2 * X1 * X2^3, (X1^-1 * X2^2 * X1 * X2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 7)(5, 10, 12)(6, 14, 11)(9, 19, 18)(13, 23, 25)(15, 28, 27)(16, 17, 30)(20, 35, 34)(21, 36, 24)(22, 26, 38)(29, 40, 42)(31, 41, 39)(32, 33, 37)(43, 45, 51, 62, 55, 47)(44, 48, 57, 71, 58, 49)(46, 52, 63, 79, 64, 53)(50, 59, 73, 80, 74, 60)(54, 65, 81, 72, 82, 66)(56, 68, 83, 67, 77, 69)(61, 75, 78, 84, 70, 76)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: chiral
Dual of E8.286
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 42 f = 7
	degree seq :: [ 3^14, 6^7 ]

E8.286 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1 * X1^-1)^2, X1^6, X2^6, (X2^-1 * X1^-1)^3, X2^2 * X1^-1 * X2 * X1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 43, 2, 44, 6, 48, 18, 60, 13, 55, 4, 46)(3, 45, 9, 51, 27, 69, 37, 79, 26, 68, 11, 53)(5, 47, 15, 57, 31, 73, 38, 80, 19, 61, 16, 58)(7, 49, 21, 63, 14, 56, 32, 74, 40, 82, 23, 65)(8, 50, 24, 66, 42, 84, 30, 72, 35, 77, 25, 67)(10, 52, 29, 71, 41, 83, 34, 76, 39, 81, 20, 62)(12, 54, 28, 70, 36, 78, 22, 64, 17, 59, 33, 75)
	L = (1, 45)(2, 49)(3, 52)(4, 54)(5, 43)(6, 61)(7, 64)(8, 44)(9, 63)(10, 72)(11, 73)(12, 66)(13, 76)(14, 46)(15, 65)(16, 67)(17, 47)(18, 77)(19, 79)(20, 48)(21, 58)(22, 83)(23, 84)(24, 80)(25, 81)(26, 50)(27, 55)(28, 51)(29, 56)(30, 59)(31, 78)(32, 53)(33, 82)(34, 57)(35, 74)(36, 60)(37, 75)(38, 71)(39, 70)(40, 62)(41, 68)(42, 69)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E8.285
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 42 f = 21
	degree seq :: [ 12^7 ]

E8.287 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x (C7 : C3) (small group id <42, 2>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X1 * X2^2 * X1^-1 * X2 * X1 * X2^-1, X1 * X2 * X1 * X2 * X1 * X2^-2, X1 * X2^2 * X1 * X2^-1 * X1^-1 * X2, X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-2 ]
Map:: non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 35, 28)(21, 38, 23)(22, 30, 36)(25, 41, 42)(27, 37, 34)(43, 45, 51, 67, 57, 47)(44, 48, 59, 83, 63, 49)(46, 53, 72, 84, 76, 54)(50, 64, 60, 81, 75, 65)(52, 69, 62, 82, 71, 70)(55, 77, 74, 66, 61, 78)(56, 79, 58, 68, 73, 80)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: chiral
Dual of E8.288
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 42 f = 7
	degree seq :: [ 3^14, 6^7 ]

E8.288 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x (C7 : C3) (small group id <42, 2>)
|r| :: 1
Presentation :: [ X2^-3 * X1^-3, X1^6, X2^6, (X2^-1 * X1^-1)^3, X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 6, 48, 18, 60, 13, 55, 4, 46)(3, 45, 9, 51, 27, 69, 17, 59, 32, 74, 11, 53)(5, 47, 15, 57, 30, 72, 10, 52, 29, 71, 16, 58)(7, 49, 21, 63, 39, 81, 26, 68, 42, 84, 23, 65)(8, 50, 24, 66, 41, 83, 22, 64, 40, 82, 25, 67)(12, 54, 31, 73, 36, 78, 19, 61, 35, 77, 33, 75)(14, 56, 34, 76, 38, 80, 20, 62, 37, 79, 28, 70)
	L = (1, 45)(2, 49)(3, 52)(4, 54)(5, 43)(6, 61)(7, 64)(8, 44)(9, 70)(10, 60)(11, 73)(12, 62)(13, 68)(14, 46)(15, 66)(16, 75)(17, 47)(18, 59)(19, 56)(20, 48)(21, 58)(22, 55)(23, 51)(24, 79)(25, 53)(26, 50)(27, 77)(28, 81)(29, 82)(30, 78)(31, 83)(32, 80)(33, 84)(34, 57)(35, 67)(36, 63)(37, 71)(38, 65)(39, 74)(40, 76)(41, 69)(42, 72)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E8.287
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 42 f = 21
	degree seq :: [ 12^7 ]

E8.289 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 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, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^2 * T1 * T2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1 * T2^-1 * T1^-1)^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 22, 12)(8, 20, 13, 21)(10, 23, 14, 24)(15, 29, 18, 30)(17, 31, 19, 32)(25, 39, 27, 40)(26, 35, 28, 33)(34, 43, 36, 44)(37, 45, 38, 46)(41, 47, 42, 48)(49, 50, 52)(51, 56, 58)(53, 61, 62)(54, 63, 65)(55, 66, 67)(57, 64, 70)(59, 73, 74)(60, 75, 76)(68, 81, 82)(69, 83, 84)(71, 85, 78)(72, 86, 77)(79, 89, 88)(80, 90, 87)(91, 96, 94)(92, 95, 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) :: { ( 16^3 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E8.293
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 6
	degree seq :: [ 3^16, 4^12 ]

E8.290 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 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, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2 * T1^-1 * T2 * T1 * T2, T2^4 * T1^2, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, (T2^-1 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 22, 35, 28, 11, 23, 36, 25)(14, 29, 31, 19, 15, 30, 34, 21)(26, 37, 45, 40, 27, 38, 46, 39)(32, 41, 47, 44, 33, 42, 48, 43)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 66, 63)(55, 67, 60, 69)(56, 70, 61, 71)(58, 74, 64, 75)(68, 80, 72, 81)(73, 85, 76, 86)(77, 87, 78, 88)(79, 89, 82, 90)(83, 91, 84, 92)(93, 96, 94, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6^4 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E8.294
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 48 f = 16
	degree seq :: [ 4^12, 8^6 ]

E8.291 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 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, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-3, T1 * T2 * T1^2 * T2 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 16, 24)(10, 25, 27)(12, 22, 30)(14, 32, 33)(15, 34, 29)(19, 36, 31)(20, 39, 40)(21, 35, 41)(23, 28, 43)(26, 44, 45)(37, 47, 46)(38, 42, 48)(49, 50, 54, 64, 84, 77, 60, 52)(51, 57, 71, 80, 79, 61, 74, 58)(53, 62, 68, 55, 67, 75, 83, 63)(56, 69, 85, 65, 82, 88, 90, 70)(59, 66, 86, 92, 72, 78, 94, 76)(73, 91, 96, 89, 81, 93, 95, 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) :: { ( 8^3 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E8.292
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 48 f = 12
	degree seq :: [ 3^16, 8^6 ]

E8.292 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 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, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^2 * T1 * T2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1 * T2^-1 * T1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 5, 53)(2, 50, 6, 54, 16, 64, 7, 55)(4, 52, 11, 59, 22, 70, 12, 60)(8, 56, 20, 68, 13, 61, 21, 69)(10, 58, 23, 71, 14, 62, 24, 72)(15, 63, 29, 77, 18, 66, 30, 78)(17, 65, 31, 79, 19, 67, 32, 80)(25, 73, 39, 87, 27, 75, 40, 88)(26, 74, 35, 83, 28, 76, 33, 81)(34, 82, 43, 91, 36, 84, 44, 92)(37, 85, 45, 93, 38, 86, 46, 94)(41, 89, 47, 95, 42, 90, 48, 96)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 61)(6, 63)(7, 66)(8, 58)(9, 64)(10, 51)(11, 73)(12, 75)(13, 62)(14, 53)(15, 65)(16, 70)(17, 54)(18, 67)(19, 55)(20, 81)(21, 83)(22, 57)(23, 85)(24, 86)(25, 74)(26, 59)(27, 76)(28, 60)(29, 72)(30, 71)(31, 89)(32, 90)(33, 82)(34, 68)(35, 84)(36, 69)(37, 78)(38, 77)(39, 80)(40, 79)(41, 88)(42, 87)(43, 96)(44, 95)(45, 92)(46, 91)(47, 93)(48, 94)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.291
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 48 f = 22
	degree seq :: [ 8^12 ]

E8.293 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 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, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2 * T1^-1 * T2 * T1 * T2, T2^4 * T1^2, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, (T2^-1 * T1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 18, 66, 6, 54, 17, 65, 16, 64, 5, 53)(2, 50, 7, 55, 20, 68, 13, 61, 4, 52, 12, 60, 24, 72, 8, 56)(9, 57, 22, 70, 35, 83, 28, 76, 11, 59, 23, 71, 36, 84, 25, 73)(14, 62, 29, 77, 31, 79, 19, 67, 15, 63, 30, 78, 34, 82, 21, 69)(26, 74, 37, 85, 45, 93, 40, 88, 27, 75, 38, 86, 46, 94, 39, 87)(32, 80, 41, 89, 47, 95, 44, 92, 33, 81, 42, 90, 48, 96, 43, 91)
	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, 75)(17, 59)(18, 63)(19, 60)(20, 80)(21, 55)(22, 61)(23, 56)(24, 81)(25, 85)(26, 64)(27, 58)(28, 86)(29, 87)(30, 88)(31, 89)(32, 72)(33, 68)(34, 90)(35, 91)(36, 92)(37, 76)(38, 73)(39, 78)(40, 77)(41, 82)(42, 79)(43, 84)(44, 83)(45, 96)(46, 95)(47, 93)(48, 94)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.289
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 48 f = 28
	degree seq :: [ 16^6 ]

E8.294 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 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, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-3, T1 * T2 * T1^2 * T2 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 5, 53)(2, 50, 7, 55, 8, 56)(4, 52, 11, 59, 13, 61)(6, 54, 17, 65, 18, 66)(9, 57, 16, 64, 24, 72)(10, 58, 25, 73, 27, 75)(12, 60, 22, 70, 30, 78)(14, 62, 32, 80, 33, 81)(15, 63, 34, 82, 29, 77)(19, 67, 36, 84, 31, 79)(20, 68, 39, 87, 40, 88)(21, 69, 35, 83, 41, 89)(23, 71, 28, 76, 43, 91)(26, 74, 44, 92, 45, 93)(37, 85, 47, 95, 46, 94)(38, 86, 42, 90, 48, 96)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 64)(7, 67)(8, 69)(9, 71)(10, 51)(11, 66)(12, 52)(13, 74)(14, 68)(15, 53)(16, 84)(17, 82)(18, 86)(19, 75)(20, 55)(21, 85)(22, 56)(23, 80)(24, 78)(25, 91)(26, 58)(27, 83)(28, 59)(29, 60)(30, 94)(31, 61)(32, 79)(33, 93)(34, 88)(35, 63)(36, 77)(37, 65)(38, 92)(39, 73)(40, 90)(41, 81)(42, 70)(43, 96)(44, 72)(45, 95)(46, 76)(47, 87)(48, 89)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.290
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 48 f = 18
	degree seq :: [ 6^16 ]

E8.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1^-1 * Y2^2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 16, 64, 22, 70)(11, 59, 25, 73, 26, 74)(12, 60, 27, 75, 28, 76)(20, 68, 33, 81, 34, 82)(21, 69, 35, 83, 36, 84)(23, 71, 37, 85, 30, 78)(24, 72, 38, 86, 29, 77)(31, 79, 41, 89, 40, 88)(32, 80, 42, 90, 39, 87)(43, 91, 48, 96, 46, 94)(44, 92, 47, 95, 45, 93)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 118, 166, 108, 156)(104, 152, 116, 164, 109, 157, 117, 165)(106, 154, 119, 167, 110, 158, 120, 168)(111, 159, 125, 173, 114, 162, 126, 174)(113, 161, 127, 175, 115, 163, 128, 176)(121, 169, 135, 183, 123, 171, 136, 184)(122, 170, 131, 179, 124, 172, 129, 177)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 134, 182, 142, 190)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 97)(3, 106)(4, 98)(5, 110)(6, 113)(7, 115)(8, 99)(9, 118)(10, 104)(11, 122)(12, 124)(13, 101)(14, 109)(15, 102)(16, 105)(17, 111)(18, 103)(19, 114)(20, 130)(21, 132)(22, 112)(23, 126)(24, 125)(25, 107)(26, 121)(27, 108)(28, 123)(29, 134)(30, 133)(31, 136)(32, 135)(33, 116)(34, 129)(35, 117)(36, 131)(37, 119)(38, 120)(39, 138)(40, 137)(41, 127)(42, 128)(43, 142)(44, 141)(45, 143)(46, 144)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.298
Graph:: bipartite
	v = 28 e = 96 f = 54
	degree seq :: [ 6^16, 8^12 ]

E8.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y1^-1 * Y2^-1)^3, Y2^4 * Y1^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^3 ]
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, 16, 64, 27, 75)(20, 68, 32, 80, 24, 72, 33, 81)(25, 73, 37, 85, 28, 76, 38, 86)(29, 77, 39, 87, 30, 78, 40, 88)(31, 79, 41, 89, 34, 82, 42, 90)(35, 83, 43, 91, 36, 84, 44, 92)(45, 93, 48, 96, 46, 94, 47, 95)(97, 145, 99, 147, 106, 154, 114, 162, 102, 150, 113, 161, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 109, 157, 100, 148, 108, 156, 120, 168, 104, 152)(105, 153, 118, 166, 131, 179, 124, 172, 107, 155, 119, 167, 132, 180, 121, 169)(110, 158, 125, 173, 127, 175, 115, 163, 111, 159, 126, 174, 130, 178, 117, 165)(122, 170, 133, 181, 141, 189, 136, 184, 123, 171, 134, 182, 142, 190, 135, 183)(128, 176, 137, 185, 143, 191, 140, 188, 129, 177, 138, 186, 144, 192, 139, 187)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 116)(8, 98)(9, 118)(10, 114)(11, 119)(12, 120)(13, 100)(14, 125)(15, 126)(16, 101)(17, 112)(18, 102)(19, 111)(20, 109)(21, 110)(22, 131)(23, 132)(24, 104)(25, 105)(26, 133)(27, 134)(28, 107)(29, 127)(30, 130)(31, 115)(32, 137)(33, 138)(34, 117)(35, 124)(36, 121)(37, 141)(38, 142)(39, 122)(40, 123)(41, 143)(42, 144)(43, 128)(44, 129)(45, 136)(46, 135)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E8.297
Graph:: bipartite
	v = 18 e = 96 f = 64
	degree seq :: [ 8^12, 16^6 ]

E8.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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 :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^3 * Y2, Y2 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 100, 148)(99, 147, 104, 152, 106, 154)(101, 149, 109, 157, 110, 158)(102, 150, 112, 160, 114, 162)(103, 151, 115, 163, 116, 164)(105, 153, 120, 168, 122, 170)(107, 155, 124, 172, 121, 169)(108, 156, 126, 174, 127, 175)(111, 159, 131, 179, 119, 167)(113, 161, 134, 182, 135, 183)(117, 165, 118, 166, 133, 181)(123, 171, 129, 177, 136, 184)(125, 173, 141, 189, 130, 178)(128, 176, 132, 180, 140, 188)(137, 185, 142, 190, 143, 191)(138, 186, 139, 187, 144, 192)
	L = (1, 99)(2, 102)(3, 105)(4, 107)(5, 97)(6, 113)(7, 98)(8, 118)(9, 121)(10, 123)(11, 125)(12, 100)(13, 128)(14, 120)(15, 101)(16, 132)(17, 106)(18, 129)(19, 111)(20, 134)(21, 103)(22, 137)(23, 104)(24, 139)(25, 136)(26, 116)(27, 126)(28, 131)(29, 114)(30, 117)(31, 141)(32, 108)(33, 109)(34, 110)(35, 142)(36, 143)(37, 112)(38, 138)(39, 127)(40, 115)(41, 122)(42, 119)(43, 140)(44, 124)(45, 144)(46, 130)(47, 135)(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, 16 ), ( 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.296
Graph:: simple bipartite
	v = 64 e = 96 f = 18
	degree seq :: [ 2^48, 6^16 ]

E8.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1^-3, (Y3 * Y2^-1)^3, Y1 * Y3^-1 * Y1 * Y3 * Y1^2 * Y3 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 36, 84, 29, 77, 12, 60, 4, 52)(3, 51, 9, 57, 23, 71, 32, 80, 31, 79, 13, 61, 26, 74, 10, 58)(5, 53, 14, 62, 20, 68, 7, 55, 19, 67, 27, 75, 35, 83, 15, 63)(8, 56, 21, 69, 37, 85, 17, 65, 34, 82, 40, 88, 42, 90, 22, 70)(11, 59, 18, 66, 38, 86, 44, 92, 24, 72, 30, 78, 46, 94, 28, 76)(25, 73, 43, 91, 48, 96, 41, 89, 33, 81, 45, 93, 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, 112)(10, 121)(11, 109)(12, 118)(13, 100)(14, 128)(15, 130)(16, 120)(17, 114)(18, 102)(19, 132)(20, 135)(21, 131)(22, 126)(23, 124)(24, 105)(25, 123)(26, 140)(27, 106)(28, 139)(29, 111)(30, 108)(31, 115)(32, 129)(33, 110)(34, 125)(35, 137)(36, 127)(37, 143)(38, 138)(39, 136)(40, 116)(41, 117)(42, 144)(43, 119)(44, 141)(45, 122)(46, 133)(47, 142)(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, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.295
Graph:: simple bipartite
	v = 54 e = 96 f = 28
	degree seq :: [ 2^48, 16^6 ]

E8.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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, Y1^3, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, R * Y2^-1 * R * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-2, Y3^-1 * Y2^3 * Y1^-1 * Y2^-1 * Y1, Y1 * Y2^2 * Y1 * Y2 * Y1^-1 * Y2, (Y3 * Y2^-1)^4, Y2^-3 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
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, 25, 73)(11, 59, 28, 76, 29, 77)(12, 60, 30, 78, 31, 79)(15, 63, 27, 75, 35, 83)(17, 65, 33, 81, 37, 85)(21, 69, 38, 86, 40, 88)(22, 70, 36, 84, 34, 82)(23, 71, 39, 87, 41, 89)(26, 74, 32, 80, 44, 92)(42, 90, 48, 96, 46, 94)(43, 91, 45, 93, 47, 95)(97, 145, 99, 147, 105, 153, 112, 160, 132, 180, 127, 175, 111, 159, 101, 149)(98, 146, 102, 150, 113, 161, 124, 172, 130, 178, 110, 158, 117, 165, 103, 151)(100, 148, 107, 155, 119, 167, 104, 152, 118, 166, 116, 164, 128, 176, 108, 156)(106, 154, 122, 170, 138, 186, 120, 168, 126, 174, 137, 185, 141, 189, 123, 171)(109, 157, 121, 169, 139, 187, 134, 182, 114, 162, 131, 179, 142, 190, 129, 177)(115, 163, 133, 181, 143, 191, 140, 188, 125, 173, 136, 184, 144, 192, 135, 183)
	L = (1, 100)(2, 97)(3, 106)(4, 98)(5, 110)(6, 114)(7, 116)(8, 99)(9, 121)(10, 104)(11, 125)(12, 127)(13, 101)(14, 109)(15, 131)(16, 102)(17, 133)(18, 112)(19, 103)(20, 115)(21, 136)(22, 130)(23, 137)(24, 105)(25, 120)(26, 140)(27, 111)(28, 107)(29, 124)(30, 108)(31, 126)(32, 122)(33, 113)(34, 132)(35, 123)(36, 118)(37, 129)(38, 117)(39, 119)(40, 134)(41, 135)(42, 142)(43, 143)(44, 128)(45, 139)(46, 144)(47, 141)(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, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.300
Graph:: bipartite
	v = 22 e = 96 f = 60
	degree seq :: [ 6^16, 16^6 ]

E8.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^4 * Y1^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^8 ]
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, 16, 64, 27, 75)(20, 68, 32, 80, 24, 72, 33, 81)(25, 73, 37, 85, 28, 76, 38, 86)(29, 77, 39, 87, 30, 78, 40, 88)(31, 79, 41, 89, 34, 82, 42, 90)(35, 83, 43, 91, 36, 84, 44, 92)(45, 93, 48, 96, 46, 94, 47, 95)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 116)(8, 98)(9, 118)(10, 114)(11, 119)(12, 120)(13, 100)(14, 125)(15, 126)(16, 101)(17, 112)(18, 102)(19, 111)(20, 109)(21, 110)(22, 131)(23, 132)(24, 104)(25, 105)(26, 133)(27, 134)(28, 107)(29, 127)(30, 130)(31, 115)(32, 137)(33, 138)(34, 117)(35, 124)(36, 121)(37, 141)(38, 142)(39, 122)(40, 123)(41, 143)(42, 144)(43, 128)(44, 129)(45, 136)(46, 135)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.299
Graph:: simple bipartite
	v = 60 e = 96 f = 22
	degree seq :: [ 2^48, 8^12 ]

E8.301 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 12})
Quotient :: regular
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^12, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 43, 42, 31, 19, 10, 4)(3, 7, 15, 25, 39, 46, 48, 45, 33, 22, 12, 8)(6, 13, 9, 18, 29, 41, 47, 40, 44, 34, 21, 14)(16, 26, 17, 28, 35, 30, 37, 23, 36, 24, 38, 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, 38)(26, 40)(27, 34)(28, 41)(31, 39)(32, 44)(36, 46)(37, 45)(42, 47)(43, 48)
	local type(s) :: { ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E8.302
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 24 f = 6
	degree seq :: [ 12^4 ]

E8.302 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 12})
Quotient :: regular
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^8, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
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, 46, 39, 44, 48, 45, 40, 47)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 47)(43, 48)
	local type(s) :: { ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E8.301
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 24 f = 4
	degree seq :: [ 8^6 ]

E8.303 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 12})
Quotient :: edge
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1, (T2^-2 * T1 * T2 * T1 * T2^-1)^3 ]
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, 47, 41, 29, 38)(31, 42, 32, 44, 48, 46, 35, 43)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 62)(58, 60)(63, 73)(64, 74)(65, 75)(66, 77)(67, 78)(68, 79)(69, 80)(70, 81)(71, 83)(72, 84)(76, 82)(85, 92)(86, 94)(87, 90)(88, 95)(89, 91)(93, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 24 ), ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E8.307
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 48 f = 4
	degree seq :: [ 2^24, 8^6 ]

E8.304 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 12})
Quotient :: edge
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2 * T1^-1)^2, T1^8, T1^8, T1^-1 * T2^-1 * T1 * T2^5 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 42, 26, 41, 40, 25, 13, 5)(2, 7, 17, 31, 47, 33, 24, 37, 48, 32, 18, 8)(4, 11, 23, 39, 44, 28, 14, 27, 43, 35, 20, 9)(6, 15, 29, 45, 38, 22, 12, 19, 34, 46, 30, 16)(49, 50, 54, 62, 74, 72, 60, 52)(51, 57, 67, 81, 89, 76, 63, 56)(53, 59, 70, 85, 90, 75, 64, 55)(58, 66, 77, 92, 88, 95, 82, 68)(61, 65, 78, 91, 84, 96, 86, 71)(69, 83, 94, 79, 73, 87, 93, 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) :: { ( 4^8 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E8.308
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 24
	degree seq :: [ 8^6, 12^4 ]

E8.305 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 12})
Quotient :: edge
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^12 ]
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, 38)(26, 40)(27, 34)(28, 41)(31, 39)(32, 44)(36, 46)(37, 45)(42, 47)(43, 48)(49, 50, 53, 59, 68, 80, 91, 90, 79, 67, 58, 52)(51, 55, 63, 73, 87, 94, 96, 93, 81, 70, 60, 56)(54, 61, 57, 66, 77, 89, 95, 88, 92, 82, 69, 62)(64, 74, 65, 76, 83, 78, 85, 71, 84, 72, 86, 75)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 16 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E8.306
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 6
	degree seq :: [ 2^24, 12^4 ]

E8.306 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 12})
Quotient :: loop
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1, (T2^-2 * T1 * T2 * T1 * T2^-1)^3 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 34, 82, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 9, 57, 18, 66, 30, 78, 40, 88, 27, 75, 16, 64)(11, 59, 20, 68, 13, 61, 23, 71, 36, 84, 45, 93, 33, 81, 21, 69)(25, 73, 37, 85, 26, 74, 39, 87, 47, 95, 41, 89, 29, 77, 38, 86)(31, 79, 42, 90, 32, 80, 44, 92, 48, 96, 46, 94, 35, 83, 43, 91)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 52)(10, 60)(11, 53)(12, 58)(13, 54)(14, 56)(15, 73)(16, 74)(17, 75)(18, 77)(19, 78)(20, 79)(21, 80)(22, 81)(23, 83)(24, 84)(25, 63)(26, 64)(27, 65)(28, 82)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 76)(35, 71)(36, 72)(37, 92)(38, 94)(39, 90)(40, 95)(41, 91)(42, 87)(43, 89)(44, 85)(45, 96)(46, 86)(47, 88)(48, 93)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.305
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 28
	degree seq :: [ 16^6 ]

E8.307 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 12})
Quotient :: loop
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2 * T1^-1)^2, T1^8, T1^8, T1^-1 * T2^-1 * T1 * T2^5 * T1^-2 ]
Map::
	R = (1, 49, 3, 51, 10, 58, 21, 69, 36, 84, 42, 90, 26, 74, 41, 89, 40, 88, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 47, 95, 33, 81, 24, 72, 37, 85, 48, 96, 32, 80, 18, 66, 8, 56)(4, 52, 11, 59, 23, 71, 39, 87, 44, 92, 28, 76, 14, 62, 27, 75, 43, 91, 35, 83, 20, 68, 9, 57)(6, 54, 15, 63, 29, 77, 45, 93, 38, 86, 22, 70, 12, 60, 19, 67, 34, 82, 46, 94, 30, 78, 16, 64)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 59)(6, 62)(7, 53)(8, 51)(9, 67)(10, 66)(11, 70)(12, 52)(13, 65)(14, 74)(15, 56)(16, 55)(17, 78)(18, 77)(19, 81)(20, 58)(21, 83)(22, 85)(23, 61)(24, 60)(25, 87)(26, 72)(27, 64)(28, 63)(29, 92)(30, 91)(31, 73)(32, 69)(33, 89)(34, 68)(35, 94)(36, 96)(37, 90)(38, 71)(39, 93)(40, 95)(41, 76)(42, 75)(43, 84)(44, 88)(45, 80)(46, 79)(47, 82)(48, 86)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.303
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 30
	degree seq :: [ 24^4 ]

E8.308 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 12})
Quotient :: loop
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51)(2, 50, 6, 54)(4, 52, 9, 57)(5, 53, 12, 60)(7, 55, 16, 64)(8, 56, 17, 65)(10, 58, 15, 63)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(18, 66, 30, 78)(19, 67, 29, 77)(20, 68, 33, 81)(22, 70, 35, 83)(25, 73, 38, 86)(26, 74, 40, 88)(27, 75, 34, 82)(28, 76, 41, 89)(31, 79, 39, 87)(32, 80, 44, 92)(36, 84, 46, 94)(37, 85, 45, 93)(42, 90, 47, 95)(43, 91, 48, 96)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 59)(6, 61)(7, 63)(8, 51)(9, 66)(10, 52)(11, 68)(12, 56)(13, 57)(14, 54)(15, 73)(16, 74)(17, 76)(18, 77)(19, 58)(20, 80)(21, 62)(22, 60)(23, 84)(24, 86)(25, 87)(26, 65)(27, 64)(28, 83)(29, 89)(30, 85)(31, 67)(32, 91)(33, 70)(34, 69)(35, 78)(36, 72)(37, 71)(38, 75)(39, 94)(40, 92)(41, 95)(42, 79)(43, 90)(44, 82)(45, 81)(46, 96)(47, 88)(48, 93)
	local type(s) :: { ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.304
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 48 f = 10
	degree seq :: [ 4^24 ]

E8.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 14, 62)(10, 58, 12, 60)(15, 63, 25, 73)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 31, 79)(21, 69, 32, 80)(22, 70, 33, 81)(23, 71, 35, 83)(24, 72, 36, 84)(28, 76, 34, 82)(37, 85, 44, 92)(38, 86, 46, 94)(39, 87, 42, 90)(40, 88, 47, 95)(41, 89, 43, 91)(45, 93, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 130, 178, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 105, 153, 114, 162, 126, 174, 136, 184, 123, 171, 112, 160)(107, 155, 116, 164, 109, 157, 119, 167, 132, 180, 141, 189, 129, 177, 117, 165)(121, 169, 133, 181, 122, 170, 135, 183, 143, 191, 137, 185, 125, 173, 134, 182)(127, 175, 138, 186, 128, 176, 140, 188, 144, 192, 142, 190, 131, 179, 139, 187)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 110)(9, 100)(10, 108)(11, 101)(12, 106)(13, 102)(14, 104)(15, 121)(16, 122)(17, 123)(18, 125)(19, 126)(20, 127)(21, 128)(22, 129)(23, 131)(24, 132)(25, 111)(26, 112)(27, 113)(28, 130)(29, 114)(30, 115)(31, 116)(32, 117)(33, 118)(34, 124)(35, 119)(36, 120)(37, 140)(38, 142)(39, 138)(40, 143)(41, 139)(42, 135)(43, 137)(44, 133)(45, 144)(46, 134)(47, 136)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E8.312
Graph:: bipartite
	v = 30 e = 96 f = 52
	degree seq :: [ 4^24, 16^6 ]

E8.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y1^-1 * Y2^-1)^2, R * Y2 * R * Y3, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1)^2, Y1^-2 * Y2^-2 * Y1^2 * Y2^2, Y1^8, Y1^-1 * Y2^-1 * Y1^2 * Y2^-5 * Y1^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 24, 72, 12, 60, 4, 52)(3, 51, 9, 57, 19, 67, 33, 81, 41, 89, 28, 76, 15, 63, 8, 56)(5, 53, 11, 59, 22, 70, 37, 85, 42, 90, 27, 75, 16, 64, 7, 55)(10, 58, 18, 66, 29, 77, 44, 92, 40, 88, 47, 95, 34, 82, 20, 68)(13, 61, 17, 65, 30, 78, 43, 91, 36, 84, 48, 96, 38, 86, 23, 71)(21, 69, 35, 83, 46, 94, 31, 79, 25, 73, 39, 87, 45, 93, 32, 80)(97, 145, 99, 147, 106, 154, 117, 165, 132, 180, 138, 186, 122, 170, 137, 185, 136, 184, 121, 169, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 127, 175, 143, 191, 129, 177, 120, 168, 133, 181, 144, 192, 128, 176, 114, 162, 104, 152)(100, 148, 107, 155, 119, 167, 135, 183, 140, 188, 124, 172, 110, 158, 123, 171, 139, 187, 131, 179, 116, 164, 105, 153)(102, 150, 111, 159, 125, 173, 141, 189, 134, 182, 118, 166, 108, 156, 115, 163, 130, 178, 142, 190, 126, 174, 112, 160)
	L = (1, 99)(2, 103)(3, 106)(4, 107)(5, 97)(6, 111)(7, 113)(8, 98)(9, 100)(10, 117)(11, 119)(12, 115)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 130)(20, 105)(21, 132)(22, 108)(23, 135)(24, 133)(25, 109)(26, 137)(27, 139)(28, 110)(29, 141)(30, 112)(31, 143)(32, 114)(33, 120)(34, 142)(35, 116)(36, 138)(37, 144)(38, 118)(39, 140)(40, 121)(41, 136)(42, 122)(43, 131)(44, 124)(45, 134)(46, 126)(47, 129)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E8.311
Graph:: bipartite
	v = 10 e = 96 f = 72
	degree seq :: [ 16^6, 24^4 ]

E8.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1, 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 * Y2 * Y3^-1, Y3^-5 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (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)(99, 147, 103, 151)(100, 148, 105, 153)(101, 149, 107, 155)(102, 150, 109, 157)(104, 152, 110, 158)(106, 154, 108, 156)(111, 159, 121, 169)(112, 160, 122, 170)(113, 161, 123, 171)(114, 162, 125, 173)(115, 163, 126, 174)(116, 164, 128, 176)(117, 165, 129, 177)(118, 166, 130, 178)(119, 167, 132, 180)(120, 168, 133, 181)(124, 172, 134, 182)(127, 175, 131, 179)(135, 183, 141, 189)(136, 184, 142, 190)(137, 185, 139, 187)(138, 186, 140, 188)(143, 191, 144, 192)
	L = (1, 99)(2, 101)(3, 104)(4, 97)(5, 108)(6, 98)(7, 111)(8, 113)(9, 114)(10, 100)(11, 116)(12, 118)(13, 119)(14, 102)(15, 105)(16, 103)(17, 124)(18, 126)(19, 106)(20, 109)(21, 107)(22, 131)(23, 133)(24, 110)(25, 135)(26, 130)(27, 112)(28, 137)(29, 136)(30, 132)(31, 115)(32, 139)(33, 123)(34, 117)(35, 141)(36, 140)(37, 125)(38, 120)(39, 122)(40, 121)(41, 143)(42, 127)(43, 129)(44, 128)(45, 144)(46, 134)(47, 138)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 24 ), ( 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.310
Graph:: simple bipartite
	v = 72 e = 96 f = 10
	degree seq :: [ 2^48, 4^24 ]

E8.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-2)^2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^12, (Y3 * Y1)^8 ]
Map::
	R = (1, 49, 2, 50, 5, 53, 11, 59, 20, 68, 32, 80, 43, 91, 42, 90, 31, 79, 19, 67, 10, 58, 4, 52)(3, 51, 7, 55, 15, 63, 25, 73, 39, 87, 46, 94, 48, 96, 45, 93, 33, 81, 22, 70, 12, 60, 8, 56)(6, 54, 13, 61, 9, 57, 18, 66, 29, 77, 41, 89, 47, 95, 40, 88, 44, 92, 34, 82, 21, 69, 14, 62)(16, 64, 26, 74, 17, 65, 28, 76, 35, 83, 30, 78, 37, 85, 23, 71, 36, 84, 24, 72, 38, 86, 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, 102)(3, 97)(4, 105)(5, 108)(6, 98)(7, 112)(8, 113)(9, 100)(10, 111)(11, 117)(12, 101)(13, 119)(14, 120)(15, 106)(16, 103)(17, 104)(18, 126)(19, 125)(20, 129)(21, 107)(22, 131)(23, 109)(24, 110)(25, 134)(26, 136)(27, 130)(28, 137)(29, 115)(30, 114)(31, 135)(32, 140)(33, 116)(34, 123)(35, 118)(36, 142)(37, 141)(38, 121)(39, 127)(40, 122)(41, 124)(42, 143)(43, 144)(44, 128)(45, 133)(46, 132)(47, 138)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E8.309
Graph:: simple bipartite
	v = 52 e = 96 f = 30
	degree seq :: [ 2^48, 24^4 ]

E8.313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^2)^2, Y1 * Y2 * Y1 * Y2^-3 * Y1 * Y2 * Y1 * Y2^-1, Y2^12, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 14, 62)(10, 58, 12, 60)(15, 63, 25, 73)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 32, 80)(21, 69, 33, 81)(22, 70, 34, 82)(23, 71, 36, 84)(24, 72, 37, 85)(28, 76, 38, 86)(31, 79, 35, 83)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 43, 91)(42, 90, 44, 92)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 137, 185, 143, 191, 138, 186, 127, 175, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 131, 179, 141, 189, 144, 192, 142, 190, 134, 182, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 105, 153, 114, 162, 126, 174, 132, 180, 140, 188, 128, 176, 139, 187, 129, 177, 123, 171, 112, 160)(107, 155, 116, 164, 109, 157, 119, 167, 133, 181, 125, 173, 136, 184, 121, 169, 135, 183, 122, 170, 130, 178, 117, 165)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 110)(9, 100)(10, 108)(11, 101)(12, 106)(13, 102)(14, 104)(15, 121)(16, 122)(17, 123)(18, 125)(19, 126)(20, 128)(21, 129)(22, 130)(23, 132)(24, 133)(25, 111)(26, 112)(27, 113)(28, 134)(29, 114)(30, 115)(31, 131)(32, 116)(33, 117)(34, 118)(35, 127)(36, 119)(37, 120)(38, 124)(39, 141)(40, 142)(41, 139)(42, 140)(43, 137)(44, 138)(45, 135)(46, 136)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 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 E8.314
Graph:: bipartite
	v = 28 e = 96 f = 54
	degree seq :: [ 4^24, 24^4 ]

E8.314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ 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^-5 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 24, 72, 12, 60, 4, 52)(3, 51, 9, 57, 19, 67, 33, 81, 41, 89, 28, 76, 15, 63, 8, 56)(5, 53, 11, 59, 22, 70, 37, 85, 42, 90, 27, 75, 16, 64, 7, 55)(10, 58, 18, 66, 29, 77, 44, 92, 40, 88, 47, 95, 34, 82, 20, 68)(13, 61, 17, 65, 30, 78, 43, 91, 36, 84, 48, 96, 38, 86, 23, 71)(21, 69, 35, 83, 46, 94, 31, 79, 25, 73, 39, 87, 45, 93, 32, 80)(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, 107)(5, 97)(6, 111)(7, 113)(8, 98)(9, 100)(10, 117)(11, 119)(12, 115)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 130)(20, 105)(21, 132)(22, 108)(23, 135)(24, 133)(25, 109)(26, 137)(27, 139)(28, 110)(29, 141)(30, 112)(31, 143)(32, 114)(33, 120)(34, 142)(35, 116)(36, 138)(37, 144)(38, 118)(39, 140)(40, 121)(41, 136)(42, 122)(43, 131)(44, 124)(45, 134)(46, 126)(47, 129)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.313
Graph:: simple bipartite
	v = 54 e = 96 f = 28
	degree seq :: [ 2^48, 16^6 ]

E8.315 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 24})
Quotient :: regular
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|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^-3 * T2 * T1 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 33, 16, 28, 42, 35, 46, 48, 47, 32, 45, 34, 17, 29, 43, 38, 22, 10, 4)(3, 7, 15, 31, 40, 30, 14, 6, 13, 27, 21, 37, 44, 26, 12, 25, 20, 9, 19, 36, 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, 47)(37, 39)(38, 41)(44, 48)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E8.316
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 24 f = 8
	degree seq :: [ 24^2 ]

E8.316 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 24})
Quotient :: regular
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 ]
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, 46, 45, 48, 44, 47)
	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)
	local type(s) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E8.315
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 24 f = 2
	degree seq :: [ 6^8 ]

E8.317 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|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^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 ]
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, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 60)(58, 62)(63, 71)(64, 73)(65, 72)(66, 74)(67, 75)(68, 77)(69, 76)(70, 78)(79, 85)(80, 86)(81, 87)(82, 88)(83, 89)(84, 90)(91, 94)(92, 95)(93, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48, 48 ), ( 48^6 ) }
Outer automorphisms :: reflexible
Dual of E8.321
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 48 f = 2
	degree seq :: [ 2^24, 6^8 ]

E8.318 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1 * T2 * T1^-1 * T2 * T1^2, T2^-1 * T1^3 * T2^-1 * T1, T1^6, (T2^-1 * T1 * T2^-1)^2, T1 * T2^-7 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 43, 31, 20, 13, 21, 33, 45, 48, 42, 30, 18, 6, 17, 29, 41, 40, 28, 15, 5)(2, 7, 19, 32, 44, 35, 23, 9, 4, 12, 26, 38, 47, 36, 24, 11, 16, 14, 27, 39, 46, 34, 22, 8)(49, 50, 54, 64, 61, 52)(51, 57, 65, 56, 69, 59)(53, 62, 66, 60, 68, 55)(58, 72, 77, 71, 81, 70)(63, 74, 78, 67, 79, 75)(73, 82, 89, 84, 93, 83)(76, 80, 90, 87, 91, 86)(85, 92, 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) :: { ( 4^6 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E8.322
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 24
	degree seq :: [ 6^8, 24^2 ]

E8.319 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|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^-3 * T2 * T1 * 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, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 47)(37, 39)(38, 41)(44, 48)(49, 50, 53, 59, 71, 87, 81, 64, 76, 90, 83, 94, 96, 95, 80, 93, 82, 65, 77, 91, 86, 70, 58, 52)(51, 55, 63, 79, 88, 78, 62, 54, 61, 75, 69, 85, 92, 74, 60, 73, 68, 57, 67, 84, 89, 72, 66, 56)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E8.320
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 48 f = 8
	degree seq :: [ 2^24, 24^2 ]

E8.320 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|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^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 21, 69, 14, 62, 6, 54)(7, 55, 15, 63, 24, 72, 18, 66, 9, 57, 16, 64)(11, 59, 19, 67, 28, 76, 22, 70, 13, 61, 20, 68)(23, 71, 31, 79, 26, 74, 33, 81, 25, 73, 32, 80)(27, 75, 34, 82, 30, 78, 36, 84, 29, 77, 35, 83)(37, 85, 43, 91, 39, 87, 45, 93, 38, 86, 44, 92)(40, 88, 46, 94, 42, 90, 48, 96, 41, 89, 47, 95)
	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, 71)(16, 73)(17, 72)(18, 74)(19, 75)(20, 77)(21, 76)(22, 78)(23, 63)(24, 65)(25, 64)(26, 66)(27, 67)(28, 69)(29, 68)(30, 70)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(43, 94)(44, 95)(45, 96)(46, 91)(47, 92)(48, 93)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.319
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 26
	degree seq :: [ 12^8 ]

E8.321 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1 * T2 * T1^-1 * T2 * T1^2, T2^-1 * T1^3 * T2^-1 * T1, T1^6, (T2^-1 * T1 * T2^-1)^2, T1 * T2^-7 * T1^-1 * T2 ]
Map::
	R = (1, 49, 3, 51, 10, 58, 25, 73, 37, 85, 43, 91, 31, 79, 20, 68, 13, 61, 21, 69, 33, 81, 45, 93, 48, 96, 42, 90, 30, 78, 18, 66, 6, 54, 17, 65, 29, 77, 41, 89, 40, 88, 28, 76, 15, 63, 5, 53)(2, 50, 7, 55, 19, 67, 32, 80, 44, 92, 35, 83, 23, 71, 9, 57, 4, 52, 12, 60, 26, 74, 38, 86, 47, 95, 36, 84, 24, 72, 11, 59, 16, 64, 14, 62, 27, 75, 39, 87, 46, 94, 34, 82, 22, 70, 8, 56)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 64)(7, 53)(8, 69)(9, 65)(10, 72)(11, 51)(12, 68)(13, 52)(14, 66)(15, 74)(16, 61)(17, 56)(18, 60)(19, 79)(20, 55)(21, 59)(22, 58)(23, 81)(24, 77)(25, 82)(26, 78)(27, 63)(28, 80)(29, 71)(30, 67)(31, 75)(32, 90)(33, 70)(34, 89)(35, 73)(36, 93)(37, 92)(38, 76)(39, 91)(40, 94)(41, 84)(42, 87)(43, 86)(44, 88)(45, 83)(46, 96)(47, 85)(48, 95)
	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 ) }
Outer automorphisms :: reflexible
Dual of E8.317
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 32
	degree seq :: [ 48^2 ]

E8.322 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|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^-3 * T2 * T1 * T2 * T1^-4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51)(2, 50, 6, 54)(4, 52, 9, 57)(5, 53, 12, 60)(7, 55, 16, 64)(8, 56, 17, 65)(10, 58, 21, 69)(11, 59, 24, 72)(13, 61, 28, 76)(14, 62, 29, 77)(15, 63, 32, 80)(18, 66, 35, 83)(19, 67, 33, 81)(20, 68, 34, 82)(22, 70, 31, 79)(23, 71, 40, 88)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 45, 93)(30, 78, 46, 94)(36, 84, 47, 95)(37, 85, 39, 87)(38, 86, 41, 89)(44, 92, 48, 96)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 59)(6, 61)(7, 63)(8, 51)(9, 67)(10, 52)(11, 71)(12, 73)(13, 75)(14, 54)(15, 79)(16, 76)(17, 77)(18, 56)(19, 84)(20, 57)(21, 85)(22, 58)(23, 87)(24, 66)(25, 68)(26, 60)(27, 69)(28, 90)(29, 91)(30, 62)(31, 88)(32, 93)(33, 64)(34, 65)(35, 94)(36, 89)(37, 92)(38, 70)(39, 81)(40, 78)(41, 72)(42, 83)(43, 86)(44, 74)(45, 82)(46, 96)(47, 80)(48, 95)
	local type(s) :: { ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E8.318
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 48 f = 10
	degree seq :: [ 4^24 ]

E8.323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2^6, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 12, 60)(10, 58, 14, 62)(15, 63, 23, 71)(16, 64, 25, 73)(17, 65, 24, 72)(18, 66, 26, 74)(19, 67, 27, 75)(20, 68, 29, 77)(21, 69, 28, 76)(22, 70, 30, 78)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(35, 83, 41, 89)(36, 84, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 117, 165, 110, 158, 102, 150)(103, 151, 111, 159, 120, 168, 114, 162, 105, 153, 112, 160)(107, 155, 115, 163, 124, 172, 118, 166, 109, 157, 116, 164)(119, 167, 127, 175, 122, 170, 129, 177, 121, 169, 128, 176)(123, 171, 130, 178, 126, 174, 132, 180, 125, 173, 131, 179)(133, 181, 139, 187, 135, 183, 141, 189, 134, 182, 140, 188)(136, 184, 142, 190, 138, 186, 144, 192, 137, 185, 143, 191)
	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, 119)(16, 121)(17, 120)(18, 122)(19, 123)(20, 125)(21, 124)(22, 126)(23, 111)(24, 113)(25, 112)(26, 114)(27, 115)(28, 117)(29, 116)(30, 118)(31, 133)(32, 134)(33, 135)(34, 136)(35, 137)(36, 138)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 142)(44, 143)(45, 144)(46, 139)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E8.326
Graph:: bipartite
	v = 32 e = 96 f = 50
	degree seq :: [ 4^24, 12^8 ]

E8.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1^-1 * Y2 * Y1^3, Y2 * Y1^-1 * Y2 * Y1^-3, Y1 * Y2^-7 * Y1^-1 * Y2 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 13, 61, 4, 52)(3, 51, 9, 57, 17, 65, 8, 56, 21, 69, 11, 59)(5, 53, 14, 62, 18, 66, 12, 60, 20, 68, 7, 55)(10, 58, 24, 72, 29, 77, 23, 71, 33, 81, 22, 70)(15, 63, 26, 74, 30, 78, 19, 67, 31, 79, 27, 75)(25, 73, 34, 82, 41, 89, 36, 84, 45, 93, 35, 83)(28, 76, 32, 80, 42, 90, 39, 87, 43, 91, 38, 86)(37, 85, 44, 92, 40, 88, 46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 106, 154, 121, 169, 133, 181, 139, 187, 127, 175, 116, 164, 109, 157, 117, 165, 129, 177, 141, 189, 144, 192, 138, 186, 126, 174, 114, 162, 102, 150, 113, 161, 125, 173, 137, 185, 136, 184, 124, 172, 111, 159, 101, 149)(98, 146, 103, 151, 115, 163, 128, 176, 140, 188, 131, 179, 119, 167, 105, 153, 100, 148, 108, 156, 122, 170, 134, 182, 143, 191, 132, 180, 120, 168, 107, 155, 112, 160, 110, 158, 123, 171, 135, 183, 142, 190, 130, 178, 118, 166, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 115)(8, 98)(9, 100)(10, 121)(11, 112)(12, 122)(13, 117)(14, 123)(15, 101)(16, 110)(17, 125)(18, 102)(19, 128)(20, 109)(21, 129)(22, 104)(23, 105)(24, 107)(25, 133)(26, 134)(27, 135)(28, 111)(29, 137)(30, 114)(31, 116)(32, 140)(33, 141)(34, 118)(35, 119)(36, 120)(37, 139)(38, 143)(39, 142)(40, 124)(41, 136)(42, 126)(43, 127)(44, 131)(45, 144)(46, 130)(47, 132)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E8.325
Graph:: bipartite
	v = 10 e = 96 f = 72
	degree seq :: [ 12^8, 48^2 ]

E8.325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^3 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3^-7 * Y2, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146)(99, 147, 103, 151)(100, 148, 105, 153)(101, 149, 107, 155)(102, 150, 109, 157)(104, 152, 113, 161)(106, 154, 117, 165)(108, 156, 121, 169)(110, 158, 125, 173)(111, 159, 119, 167)(112, 160, 123, 171)(114, 162, 126, 174)(115, 163, 120, 168)(116, 164, 124, 172)(118, 166, 122, 170)(127, 175, 137, 185)(128, 176, 141, 189)(129, 177, 135, 183)(130, 178, 140, 188)(131, 179, 139, 187)(132, 180, 138, 186)(133, 181, 136, 184)(134, 182, 142, 190)(143, 191, 144, 192)
	L = (1, 99)(2, 101)(3, 104)(4, 97)(5, 108)(6, 98)(7, 111)(8, 114)(9, 115)(10, 100)(11, 119)(12, 122)(13, 123)(14, 102)(15, 127)(16, 103)(17, 129)(18, 131)(19, 132)(20, 105)(21, 133)(22, 106)(23, 135)(24, 107)(25, 137)(26, 139)(27, 140)(28, 109)(29, 141)(30, 110)(31, 117)(32, 112)(33, 116)(34, 113)(35, 136)(36, 142)(37, 143)(38, 118)(39, 125)(40, 120)(41, 124)(42, 121)(43, 128)(44, 134)(45, 144)(46, 126)(47, 130)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 48 ), ( 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E8.324
Graph:: simple bipartite
	v = 72 e = 96 f = 10
	degree seq :: [ 2^48, 4^24 ]

E8.326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|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, (Y1^3 * Y3)^2, Y1^-7 * Y3 * Y1 * Y3 ]
Map::
	R = (1, 49, 2, 50, 5, 53, 11, 59, 23, 71, 39, 87, 33, 81, 16, 64, 28, 76, 42, 90, 35, 83, 46, 94, 48, 96, 47, 95, 32, 80, 45, 93, 34, 82, 17, 65, 29, 77, 43, 91, 38, 86, 22, 70, 10, 58, 4, 52)(3, 51, 7, 55, 15, 63, 31, 79, 40, 88, 30, 78, 14, 62, 6, 54, 13, 61, 27, 75, 21, 69, 37, 85, 44, 92, 26, 74, 12, 60, 25, 73, 20, 68, 9, 57, 19, 67, 36, 84, 41, 89, 24, 72, 18, 66, 8, 56)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 102)(3, 97)(4, 105)(5, 108)(6, 98)(7, 112)(8, 113)(9, 100)(10, 117)(11, 120)(12, 101)(13, 124)(14, 125)(15, 128)(16, 103)(17, 104)(18, 131)(19, 129)(20, 130)(21, 106)(22, 127)(23, 136)(24, 107)(25, 138)(26, 139)(27, 141)(28, 109)(29, 110)(30, 142)(31, 118)(32, 111)(33, 115)(34, 116)(35, 114)(36, 143)(37, 135)(38, 137)(39, 133)(40, 119)(41, 134)(42, 121)(43, 122)(44, 144)(45, 123)(46, 126)(47, 132)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 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 E8.323
Graph:: simple bipartite
	v = 50 e = 96 f = 32
	degree seq :: [ 2^48, 48^2 ]

E8.327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^4 * Y1 * Y2^-4 * Y1, (Y2^-1 * R * Y2^-3)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 17, 65)(10, 58, 21, 69)(12, 60, 25, 73)(14, 62, 29, 77)(15, 63, 23, 71)(16, 64, 27, 75)(18, 66, 30, 78)(19, 67, 24, 72)(20, 68, 28, 76)(22, 70, 26, 74)(31, 79, 41, 89)(32, 80, 45, 93)(33, 81, 39, 87)(34, 82, 44, 92)(35, 83, 43, 91)(36, 84, 42, 90)(37, 85, 40, 88)(38, 86, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 114, 162, 131, 179, 136, 184, 120, 168, 107, 155, 119, 167, 135, 183, 125, 173, 141, 189, 144, 192, 138, 186, 121, 169, 137, 185, 124, 172, 109, 157, 123, 171, 140, 188, 134, 182, 118, 166, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 122, 170, 139, 187, 128, 176, 112, 160, 103, 151, 111, 159, 127, 175, 117, 165, 133, 181, 143, 191, 130, 178, 113, 161, 129, 177, 116, 164, 105, 153, 115, 163, 132, 180, 142, 190, 126, 174, 110, 158, 102, 150)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 119)(16, 123)(17, 104)(18, 126)(19, 120)(20, 124)(21, 106)(22, 122)(23, 111)(24, 115)(25, 108)(26, 118)(27, 112)(28, 116)(29, 110)(30, 114)(31, 137)(32, 141)(33, 135)(34, 140)(35, 139)(36, 138)(37, 136)(38, 142)(39, 129)(40, 133)(41, 127)(42, 132)(43, 131)(44, 130)(45, 128)(46, 134)(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, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E8.328
Graph:: bipartite
	v = 26 e = 96 f = 56
	degree seq :: [ 4^24, 48^2 ]

E8.328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^3 * Y3^-1 * Y1, Y1^6, Y1 * Y3^8 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 13, 61, 4, 52)(3, 51, 9, 57, 17, 65, 8, 56, 21, 69, 11, 59)(5, 53, 14, 62, 18, 66, 12, 60, 20, 68, 7, 55)(10, 58, 24, 72, 29, 77, 23, 71, 33, 81, 22, 70)(15, 63, 26, 74, 30, 78, 19, 67, 31, 79, 27, 75)(25, 73, 34, 82, 41, 89, 36, 84, 45, 93, 35, 83)(28, 76, 32, 80, 42, 90, 39, 87, 43, 91, 38, 86)(37, 85, 44, 92, 40, 88, 46, 94, 48, 96, 47, 95)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 115)(8, 98)(9, 100)(10, 121)(11, 112)(12, 122)(13, 117)(14, 123)(15, 101)(16, 110)(17, 125)(18, 102)(19, 128)(20, 109)(21, 129)(22, 104)(23, 105)(24, 107)(25, 133)(26, 134)(27, 135)(28, 111)(29, 137)(30, 114)(31, 116)(32, 140)(33, 141)(34, 118)(35, 119)(36, 120)(37, 139)(38, 143)(39, 142)(40, 124)(41, 136)(42, 126)(43, 127)(44, 131)(45, 144)(46, 130)(47, 132)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E8.327
Graph:: simple bipartite
	v = 56 e = 96 f = 26
	degree seq :: [ 2^48, 12^8 ]

E8.329 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 10})
Quotient :: regular
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^10, (T1 * T2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 31, 19, 10, 4)(3, 7, 15, 25, 39, 47, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 46, 34, 21, 14)(16, 26, 17, 28, 35, 49, 56, 53, 40, 27)(23, 36, 24, 38, 48, 57, 55, 45, 30, 37)(41, 51, 42, 54, 59, 60, 58, 52, 43, 50)
	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, 46)(34, 48)(36, 50)(37, 51)(38, 52)(44, 55)(45, 54)(47, 56)(49, 58)(53, 59)(57, 60)
	local type(s) :: { ( 6^10 ) }
Outer automorphisms :: reflexible
Dual of E8.330
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 30 f = 10
	degree seq :: [ 10^6 ]

E8.330 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 10})
Quotient :: regular
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1)^2, T1^6, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 20, 12, 8)(6, 13, 9, 18, 19, 14)(16, 23, 17, 25, 27, 24)(21, 28, 22, 30, 26, 29)(31, 37, 32, 39, 33, 38)(34, 40, 35, 42, 36, 41)(43, 49, 44, 51, 45, 50)(46, 52, 47, 54, 48, 53)(55, 59, 56, 60, 57, 58)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 58)(53, 59)(54, 60)
	local type(s) :: { ( 10^6 ) }
Outer automorphisms :: reflexible
Dual of E8.329
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 30 f = 6
	degree seq :: [ 6^10 ]

E8.331 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 10})
Quotient :: edge
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, (T2 * T1)^10 ]
Map:: polytopal
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 9, 18, 25, 16)(11, 19, 13, 22, 29, 20)(23, 31, 24, 33, 26, 32)(27, 34, 28, 36, 30, 35)(37, 43, 38, 45, 39, 44)(40, 46, 41, 48, 42, 47)(49, 55, 50, 57, 51, 56)(52, 58, 53, 60, 54, 59)(61, 62)(63, 67)(64, 69)(65, 71)(66, 73)(68, 74)(70, 72)(75, 83)(76, 84)(77, 85)(78, 86)(79, 87)(80, 88)(81, 89)(82, 90)(91, 97)(92, 98)(93, 99)(94, 100)(95, 101)(96, 102)(103, 109)(104, 110)(105, 111)(106, 112)(107, 113)(108, 114)(115, 119)(116, 118)(117, 120)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 20 ), ( 20^6 ) }
Outer automorphisms :: reflexible
Dual of E8.335
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 60 f = 6
	degree seq :: [ 2^30, 6^10 ]

E8.332 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 10})
Quotient :: edge
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^6, T2^10 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 33, 45, 36, 24, 13, 5)(2, 7, 17, 29, 41, 52, 42, 30, 18, 8)(4, 11, 23, 35, 47, 54, 44, 32, 20, 9)(6, 15, 27, 39, 50, 58, 51, 40, 28, 16)(12, 19, 31, 43, 53, 59, 55, 46, 34, 22)(14, 25, 37, 48, 56, 60, 57, 49, 38, 26)(61, 62, 66, 74, 72, 64)(63, 69, 79, 86, 75, 68)(65, 71, 82, 85, 76, 67)(70, 78, 87, 98, 91, 80)(73, 77, 88, 97, 94, 83)(81, 92, 103, 109, 99, 90)(84, 95, 106, 108, 100, 89)(93, 102, 110, 117, 113, 104)(96, 101, 111, 116, 115, 107)(105, 114, 119, 120, 118, 112)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4^6 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E8.336
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 60 f = 30
	degree seq :: [ 6^10, 10^6 ]

E8.333 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 10})
Quotient :: edge
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^10, (T2 * T1)^6 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 46)(34, 48)(36, 50)(37, 51)(38, 52)(44, 55)(45, 54)(47, 56)(49, 58)(53, 59)(57, 60)(61, 62, 65, 71, 80, 92, 91, 79, 70, 64)(63, 67, 75, 85, 99, 107, 93, 82, 72, 68)(66, 73, 69, 78, 89, 104, 106, 94, 81, 74)(76, 86, 77, 88, 95, 109, 116, 113, 100, 87)(83, 96, 84, 98, 108, 117, 115, 105, 90, 97)(101, 111, 102, 114, 119, 120, 118, 112, 103, 110)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 12 ), ( 12^10 ) }
Outer automorphisms :: reflexible
Dual of E8.334
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 60 f = 10
	degree seq :: [ 2^30, 10^6 ]

E8.334 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 10})
Quotient :: loop
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, (T2 * T1)^10 ]
Map::
	R = (1, 61, 3, 63, 8, 68, 17, 77, 10, 70, 4, 64)(2, 62, 5, 65, 12, 72, 21, 81, 14, 74, 6, 66)(7, 67, 15, 75, 9, 69, 18, 78, 25, 85, 16, 76)(11, 71, 19, 79, 13, 73, 22, 82, 29, 89, 20, 80)(23, 83, 31, 91, 24, 84, 33, 93, 26, 86, 32, 92)(27, 87, 34, 94, 28, 88, 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)
	L = (1, 62)(2, 61)(3, 67)(4, 69)(5, 71)(6, 73)(7, 63)(8, 74)(9, 64)(10, 72)(11, 65)(12, 70)(13, 66)(14, 68)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 88)(21, 89)(22, 90)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(55, 119)(56, 118)(57, 120)(58, 116)(59, 115)(60, 117)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E8.333
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 60 f = 36
	degree seq :: [ 12^10 ]

E8.335 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 10})
Quotient :: loop
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^6, T2^10 ]
Map::
	R = (1, 61, 3, 63, 10, 70, 21, 81, 33, 93, 45, 105, 36, 96, 24, 84, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 29, 89, 41, 101, 52, 112, 42, 102, 30, 90, 18, 78, 8, 68)(4, 64, 11, 71, 23, 83, 35, 95, 47, 107, 54, 114, 44, 104, 32, 92, 20, 80, 9, 69)(6, 66, 15, 75, 27, 87, 39, 99, 50, 110, 58, 118, 51, 111, 40, 100, 28, 88, 16, 76)(12, 72, 19, 79, 31, 91, 43, 103, 53, 113, 59, 119, 55, 115, 46, 106, 34, 94, 22, 82)(14, 74, 25, 85, 37, 97, 48, 108, 56, 116, 60, 120, 57, 117, 49, 109, 38, 98, 26, 86)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 71)(6, 74)(7, 65)(8, 63)(9, 79)(10, 78)(11, 82)(12, 64)(13, 77)(14, 72)(15, 68)(16, 67)(17, 88)(18, 87)(19, 86)(20, 70)(21, 92)(22, 85)(23, 73)(24, 95)(25, 76)(26, 75)(27, 98)(28, 97)(29, 84)(30, 81)(31, 80)(32, 103)(33, 102)(34, 83)(35, 106)(36, 101)(37, 94)(38, 91)(39, 90)(40, 89)(41, 111)(42, 110)(43, 109)(44, 93)(45, 114)(46, 108)(47, 96)(48, 100)(49, 99)(50, 117)(51, 116)(52, 105)(53, 104)(54, 119)(55, 107)(56, 115)(57, 113)(58, 112)(59, 120)(60, 118)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.331
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 60 f = 40
	degree seq :: [ 20^6 ]

E8.336 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 10})
Quotient :: loop
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^10, (T2 * T1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 61, 3, 63)(2, 62, 6, 66)(4, 64, 9, 69)(5, 65, 12, 72)(7, 67, 16, 76)(8, 68, 17, 77)(10, 70, 15, 75)(11, 71, 21, 81)(13, 73, 23, 83)(14, 74, 24, 84)(18, 78, 30, 90)(19, 79, 29, 89)(20, 80, 33, 93)(22, 82, 35, 95)(25, 85, 40, 100)(26, 86, 41, 101)(27, 87, 42, 102)(28, 88, 43, 103)(31, 91, 39, 99)(32, 92, 46, 106)(34, 94, 48, 108)(36, 96, 50, 110)(37, 97, 51, 111)(38, 98, 52, 112)(44, 104, 55, 115)(45, 105, 54, 114)(47, 107, 56, 116)(49, 109, 58, 118)(53, 113, 59, 119)(57, 117, 60, 120)
	L = (1, 62)(2, 65)(3, 67)(4, 61)(5, 71)(6, 73)(7, 75)(8, 63)(9, 78)(10, 64)(11, 80)(12, 68)(13, 69)(14, 66)(15, 85)(16, 86)(17, 88)(18, 89)(19, 70)(20, 92)(21, 74)(22, 72)(23, 96)(24, 98)(25, 99)(26, 77)(27, 76)(28, 95)(29, 104)(30, 97)(31, 79)(32, 91)(33, 82)(34, 81)(35, 109)(36, 84)(37, 83)(38, 108)(39, 107)(40, 87)(41, 111)(42, 114)(43, 110)(44, 106)(45, 90)(46, 94)(47, 93)(48, 117)(49, 116)(50, 101)(51, 102)(52, 103)(53, 100)(54, 119)(55, 105)(56, 113)(57, 115)(58, 112)(59, 120)(60, 118)
	local type(s) :: { ( 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E8.332
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 30 e = 60 f = 16
	degree seq :: [ 4^30 ]

E8.337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^6, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 11, 71)(6, 66, 13, 73)(8, 68, 14, 74)(10, 70, 12, 72)(15, 75, 23, 83)(16, 76, 24, 84)(17, 77, 25, 85)(18, 78, 26, 86)(19, 79, 27, 87)(20, 80, 28, 88)(21, 81, 29, 89)(22, 82, 30, 90)(31, 91, 37, 97)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(35, 95, 41, 101)(36, 96, 42, 102)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 53, 113)(48, 108, 54, 114)(55, 115, 59, 119)(56, 116, 58, 118)(57, 117, 60, 120)(121, 181, 123, 183, 128, 188, 137, 197, 130, 190, 124, 184)(122, 182, 125, 185, 132, 192, 141, 201, 134, 194, 126, 186)(127, 187, 135, 195, 129, 189, 138, 198, 145, 205, 136, 196)(131, 191, 139, 199, 133, 193, 142, 202, 149, 209, 140, 200)(143, 203, 151, 211, 144, 204, 153, 213, 146, 206, 152, 212)(147, 207, 154, 214, 148, 208, 156, 216, 150, 210, 155, 215)(157, 217, 163, 223, 158, 218, 165, 225, 159, 219, 164, 224)(160, 220, 166, 226, 161, 221, 168, 228, 162, 222, 167, 227)(169, 229, 175, 235, 170, 230, 177, 237, 171, 231, 176, 236)(172, 232, 178, 238, 173, 233, 180, 240, 174, 234, 179, 239)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 134)(9, 124)(10, 132)(11, 125)(12, 130)(13, 126)(14, 128)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 179)(56, 178)(57, 180)(58, 176)(59, 175)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.340
Graph:: bipartite
	v = 40 e = 120 f = 66
	degree seq :: [ 4^30, 12^10 ]

E8.338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1)^2, Y1^6, Y2^10 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 12, 72, 4, 64)(3, 63, 9, 69, 19, 79, 26, 86, 15, 75, 8, 68)(5, 65, 11, 71, 22, 82, 25, 85, 16, 76, 7, 67)(10, 70, 18, 78, 27, 87, 38, 98, 31, 91, 20, 80)(13, 73, 17, 77, 28, 88, 37, 97, 34, 94, 23, 83)(21, 81, 32, 92, 43, 103, 49, 109, 39, 99, 30, 90)(24, 84, 35, 95, 46, 106, 48, 108, 40, 100, 29, 89)(33, 93, 42, 102, 50, 110, 57, 117, 53, 113, 44, 104)(36, 96, 41, 101, 51, 111, 56, 116, 55, 115, 47, 107)(45, 105, 54, 114, 59, 119, 60, 120, 58, 118, 52, 112)(121, 181, 123, 183, 130, 190, 141, 201, 153, 213, 165, 225, 156, 216, 144, 204, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 172, 232, 162, 222, 150, 210, 138, 198, 128, 188)(124, 184, 131, 191, 143, 203, 155, 215, 167, 227, 174, 234, 164, 224, 152, 212, 140, 200, 129, 189)(126, 186, 135, 195, 147, 207, 159, 219, 170, 230, 178, 238, 171, 231, 160, 220, 148, 208, 136, 196)(132, 192, 139, 199, 151, 211, 163, 223, 173, 233, 179, 239, 175, 235, 166, 226, 154, 214, 142, 202)(134, 194, 145, 205, 157, 217, 168, 228, 176, 236, 180, 240, 177, 237, 169, 229, 158, 218, 146, 206)
	L = (1, 123)(2, 127)(3, 130)(4, 131)(5, 121)(6, 135)(7, 137)(8, 122)(9, 124)(10, 141)(11, 143)(12, 139)(13, 125)(14, 145)(15, 147)(16, 126)(17, 149)(18, 128)(19, 151)(20, 129)(21, 153)(22, 132)(23, 155)(24, 133)(25, 157)(26, 134)(27, 159)(28, 136)(29, 161)(30, 138)(31, 163)(32, 140)(33, 165)(34, 142)(35, 167)(36, 144)(37, 168)(38, 146)(39, 170)(40, 148)(41, 172)(42, 150)(43, 173)(44, 152)(45, 156)(46, 154)(47, 174)(48, 176)(49, 158)(50, 178)(51, 160)(52, 162)(53, 179)(54, 164)(55, 166)(56, 180)(57, 169)(58, 171)(59, 175)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 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 E8.339
Graph:: bipartite
	v = 16 e = 120 f = 90
	degree seq :: [ 12^10, 20^6 ]

E8.339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^10 ]
Map:: polytopal
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182)(123, 183, 127, 187)(124, 184, 129, 189)(125, 185, 131, 191)(126, 186, 133, 193)(128, 188, 134, 194)(130, 190, 132, 192)(135, 195, 145, 205)(136, 196, 146, 206)(137, 197, 147, 207)(138, 198, 149, 209)(139, 199, 150, 210)(140, 200, 152, 212)(141, 201, 153, 213)(142, 202, 154, 214)(143, 203, 156, 216)(144, 204, 157, 217)(148, 208, 158, 218)(151, 211, 155, 215)(159, 219, 167, 227)(160, 220, 166, 226)(161, 221, 171, 231)(162, 222, 173, 233)(163, 223, 174, 234)(164, 224, 168, 228)(165, 225, 175, 235)(169, 229, 176, 236)(170, 230, 177, 237)(172, 232, 178, 238)(179, 239, 180, 240)
	L = (1, 123)(2, 125)(3, 128)(4, 121)(5, 132)(6, 122)(7, 135)(8, 137)(9, 138)(10, 124)(11, 140)(12, 142)(13, 143)(14, 126)(15, 129)(16, 127)(17, 148)(18, 150)(19, 130)(20, 133)(21, 131)(22, 155)(23, 157)(24, 134)(25, 159)(26, 161)(27, 136)(28, 163)(29, 160)(30, 165)(31, 139)(32, 166)(33, 168)(34, 141)(35, 170)(36, 167)(37, 172)(38, 144)(39, 146)(40, 145)(41, 173)(42, 147)(43, 151)(44, 149)(45, 174)(46, 153)(47, 152)(48, 176)(49, 154)(50, 158)(51, 156)(52, 177)(53, 179)(54, 162)(55, 164)(56, 180)(57, 169)(58, 171)(59, 175)(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) :: { ( 12, 20 ), ( 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.338
Graph:: simple bipartite
	v = 90 e = 120 f = 16
	degree seq :: [ 2^60, 4^30 ]

E8.340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y1^10, (Y3^-1 * Y1)^6 ]
Map:: polytopal
	R = (1, 61, 2, 62, 5, 65, 11, 71, 20, 80, 32, 92, 31, 91, 19, 79, 10, 70, 4, 64)(3, 63, 7, 67, 15, 75, 25, 85, 39, 99, 47, 107, 33, 93, 22, 82, 12, 72, 8, 68)(6, 66, 13, 73, 9, 69, 18, 78, 29, 89, 44, 104, 46, 106, 34, 94, 21, 81, 14, 74)(16, 76, 26, 86, 17, 77, 28, 88, 35, 95, 49, 109, 56, 116, 53, 113, 40, 100, 27, 87)(23, 83, 36, 96, 24, 84, 38, 98, 48, 108, 57, 117, 55, 115, 45, 105, 30, 90, 37, 97)(41, 101, 51, 111, 42, 102, 54, 114, 59, 119, 60, 120, 58, 118, 52, 112, 43, 103, 50, 110)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 126)(3, 121)(4, 129)(5, 132)(6, 122)(7, 136)(8, 137)(9, 124)(10, 135)(11, 141)(12, 125)(13, 143)(14, 144)(15, 130)(16, 127)(17, 128)(18, 150)(19, 149)(20, 153)(21, 131)(22, 155)(23, 133)(24, 134)(25, 160)(26, 161)(27, 162)(28, 163)(29, 139)(30, 138)(31, 159)(32, 166)(33, 140)(34, 168)(35, 142)(36, 170)(37, 171)(38, 172)(39, 151)(40, 145)(41, 146)(42, 147)(43, 148)(44, 175)(45, 174)(46, 152)(47, 176)(48, 154)(49, 178)(50, 156)(51, 157)(52, 158)(53, 179)(54, 165)(55, 164)(56, 167)(57, 180)(58, 169)(59, 173)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 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 E8.337
Graph:: simple bipartite
	v = 66 e = 120 f = 40
	degree seq :: [ 2^60, 20^6 ]

E8.341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^10, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 11, 71)(6, 66, 13, 73)(8, 68, 14, 74)(10, 70, 12, 72)(15, 75, 25, 85)(16, 76, 26, 86)(17, 77, 27, 87)(18, 78, 29, 89)(19, 79, 30, 90)(20, 80, 32, 92)(21, 81, 33, 93)(22, 82, 34, 94)(23, 83, 36, 96)(24, 84, 37, 97)(28, 88, 38, 98)(31, 91, 35, 95)(39, 99, 47, 107)(40, 100, 46, 106)(41, 101, 51, 111)(42, 102, 53, 113)(43, 103, 54, 114)(44, 104, 48, 108)(45, 105, 55, 115)(49, 109, 56, 116)(50, 110, 57, 117)(52, 112, 58, 118)(59, 119, 60, 120)(121, 181, 123, 183, 128, 188, 137, 197, 148, 208, 163, 223, 151, 211, 139, 199, 130, 190, 124, 184)(122, 182, 125, 185, 132, 192, 142, 202, 155, 215, 170, 230, 158, 218, 144, 204, 134, 194, 126, 186)(127, 187, 135, 195, 129, 189, 138, 198, 150, 210, 165, 225, 174, 234, 162, 222, 147, 207, 136, 196)(131, 191, 140, 200, 133, 193, 143, 203, 157, 217, 172, 232, 177, 237, 169, 229, 154, 214, 141, 201)(145, 205, 159, 219, 146, 206, 161, 221, 173, 233, 179, 239, 175, 235, 164, 224, 149, 209, 160, 220)(152, 212, 166, 226, 153, 213, 168, 228, 176, 236, 180, 240, 178, 238, 171, 231, 156, 216, 167, 227)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 134)(9, 124)(10, 132)(11, 125)(12, 130)(13, 126)(14, 128)(15, 145)(16, 146)(17, 147)(18, 149)(19, 150)(20, 152)(21, 153)(22, 154)(23, 156)(24, 157)(25, 135)(26, 136)(27, 137)(28, 158)(29, 138)(30, 139)(31, 155)(32, 140)(33, 141)(34, 142)(35, 151)(36, 143)(37, 144)(38, 148)(39, 167)(40, 166)(41, 171)(42, 173)(43, 174)(44, 168)(45, 175)(46, 160)(47, 159)(48, 164)(49, 176)(50, 177)(51, 161)(52, 178)(53, 162)(54, 163)(55, 165)(56, 169)(57, 170)(58, 172)(59, 180)(60, 179)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E8.342
Graph:: bipartite
	v = 36 e = 120 f = 70
	degree seq :: [ 4^30, 20^6 ]

E8.342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 61, 2, 62, 6, 66, 14, 74, 12, 72, 4, 64)(3, 63, 9, 69, 19, 79, 26, 86, 15, 75, 8, 68)(5, 65, 11, 71, 22, 82, 25, 85, 16, 76, 7, 67)(10, 70, 18, 78, 27, 87, 38, 98, 31, 91, 20, 80)(13, 73, 17, 77, 28, 88, 37, 97, 34, 94, 23, 83)(21, 81, 32, 92, 43, 103, 49, 109, 39, 99, 30, 90)(24, 84, 35, 95, 46, 106, 48, 108, 40, 100, 29, 89)(33, 93, 42, 102, 50, 110, 57, 117, 53, 113, 44, 104)(36, 96, 41, 101, 51, 111, 56, 116, 55, 115, 47, 107)(45, 105, 54, 114, 59, 119, 60, 120, 58, 118, 52, 112)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 130)(4, 131)(5, 121)(6, 135)(7, 137)(8, 122)(9, 124)(10, 141)(11, 143)(12, 139)(13, 125)(14, 145)(15, 147)(16, 126)(17, 149)(18, 128)(19, 151)(20, 129)(21, 153)(22, 132)(23, 155)(24, 133)(25, 157)(26, 134)(27, 159)(28, 136)(29, 161)(30, 138)(31, 163)(32, 140)(33, 165)(34, 142)(35, 167)(36, 144)(37, 168)(38, 146)(39, 170)(40, 148)(41, 172)(42, 150)(43, 173)(44, 152)(45, 156)(46, 154)(47, 174)(48, 176)(49, 158)(50, 178)(51, 160)(52, 162)(53, 179)(54, 164)(55, 166)(56, 180)(57, 169)(58, 171)(59, 175)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E8.341
Graph:: simple bipartite
	v = 70 e = 120 f = 36
	degree seq :: [ 2^60, 12^10 ]

E8.343 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 32})
Quotient :: regular
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T1 * T2)^4, (T2 * T1^6)^2, T2 * T1^-1 * T2 * T1^15 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 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, 61)(60, 63)
	local type(s) :: { ( 4^32 ) }
Outer automorphisms :: reflexible
Dual of E8.344
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 32 f = 16
	degree seq :: [ 32^2 ]

E8.344 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 32})
Quotient :: regular
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 4)(3, 7, 10, 8)(6, 11, 9, 12)(13, 17, 14, 18)(15, 19, 16, 20)(21, 25, 22, 26)(23, 27, 24, 28)(29, 33, 30, 34)(31, 35, 32, 36)(37, 41, 38, 42)(39, 43, 40, 44)(45, 49, 46, 50)(47, 51, 48, 52)(53, 57, 54, 58)(55, 59, 56, 60)(61, 64, 62, 63)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41, 45)(42, 46)(43, 47)(44, 48)(49, 53)(50, 54)(51, 55)(52, 56)(57, 61)(58, 62)(59, 63)(60, 64)
	local type(s) :: { ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E8.343
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 32 f = 2
	degree seq :: [ 4^16 ]

E8.345 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 32})
Quotient :: edge
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 ]
Map::
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 9, 14)(10, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)(33, 37, 34, 38)(35, 39, 36, 40)(41, 45, 42, 46)(43, 47, 44, 48)(49, 53, 50, 54)(51, 55, 52, 56)(57, 61, 58, 62)(59, 63, 60, 64)(65, 66)(67, 71)(68, 73)(69, 74)(70, 76)(72, 75)(77, 81)(78, 82)(79, 83)(80, 84)(85, 89)(86, 90)(87, 91)(88, 92)(93, 97)(94, 98)(95, 99)(96, 100)(101, 105)(102, 106)(103, 107)(104, 108)(109, 113)(110, 114)(111, 115)(112, 116)(117, 121)(118, 122)(119, 123)(120, 124)(125, 128)(126, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 64, 64 ), ( 64^4 ) }
Outer automorphisms :: reflexible
Dual of E8.349
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 64 f = 2
	degree seq :: [ 2^32, 4^16 ]

E8.346 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 32})
Quotient :: edge
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T2^15 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 64, 56, 48, 40, 32, 24, 16, 8)(65, 66, 70, 68)(67, 73, 77, 72)(69, 75, 78, 71)(74, 80, 85, 81)(76, 79, 86, 83)(82, 89, 93, 88)(84, 91, 94, 87)(90, 96, 101, 97)(92, 95, 102, 99)(98, 105, 109, 104)(100, 107, 110, 103)(106, 112, 117, 113)(108, 111, 118, 115)(114, 121, 125, 120)(116, 123, 126, 119)(122, 128, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^4 ), ( 4^32 ) }
Outer automorphisms :: reflexible
Dual of E8.350
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 64 f = 32
	degree seq :: [ 4^16, 32^2 ]

E8.347 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 32})
Quotient :: edge
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^4, (T2 * T1^6)^2, T2 * T1^-1 * T2 * T1^15 ]
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, 61)(60, 63)(65, 66, 69, 75, 84, 93, 101, 109, 117, 125, 122, 114, 106, 98, 90, 80, 87, 81, 88, 96, 104, 112, 120, 128, 124, 116, 108, 100, 92, 83, 74, 68)(67, 71, 79, 89, 97, 105, 113, 121, 127, 118, 111, 102, 95, 85, 78, 70, 77, 73, 82, 91, 99, 107, 115, 123, 126, 119, 110, 103, 94, 86, 76, 72)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 8 ), ( 8^32 ) }
Outer automorphisms :: reflexible
Dual of E8.348
Transitivity :: ET+
Graph:: simple bipartite
	v = 34 e = 64 f = 16
	degree seq :: [ 2^32, 32^2 ]

E8.348 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 32})
Quotient :: loop
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 4, 68)(2, 66, 5, 69, 11, 75, 6, 70)(7, 71, 13, 77, 9, 73, 14, 78)(10, 74, 15, 79, 12, 76, 16, 80)(17, 81, 21, 85, 18, 82, 22, 86)(19, 83, 23, 87, 20, 84, 24, 88)(25, 89, 29, 93, 26, 90, 30, 94)(27, 91, 31, 95, 28, 92, 32, 96)(33, 97, 37, 101, 34, 98, 38, 102)(35, 99, 39, 103, 36, 100, 40, 104)(41, 105, 45, 109, 42, 106, 46, 110)(43, 107, 47, 111, 44, 108, 48, 112)(49, 113, 53, 117, 50, 114, 54, 118)(51, 115, 55, 119, 52, 116, 56, 120)(57, 121, 61, 125, 58, 122, 62, 126)(59, 123, 63, 127, 60, 124, 64, 128)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 74)(6, 76)(7, 67)(8, 75)(9, 68)(10, 69)(11, 72)(12, 70)(13, 81)(14, 82)(15, 83)(16, 84)(17, 77)(18, 78)(19, 79)(20, 80)(21, 89)(22, 90)(23, 91)(24, 92)(25, 85)(26, 86)(27, 87)(28, 88)(29, 97)(30, 98)(31, 99)(32, 100)(33, 93)(34, 94)(35, 95)(36, 96)(37, 105)(38, 106)(39, 107)(40, 108)(41, 101)(42, 102)(43, 103)(44, 104)(45, 113)(46, 114)(47, 115)(48, 116)(49, 109)(50, 110)(51, 111)(52, 112)(53, 121)(54, 122)(55, 123)(56, 124)(57, 117)(58, 118)(59, 119)(60, 120)(61, 128)(62, 127)(63, 126)(64, 125)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E8.347
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 34
	degree seq :: [ 8^16 ]

E8.349 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 32})
Quotient :: loop
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T2^15 * T1 * T2^-1 * T1^-1 ]
Map::
	R = (1, 65, 3, 67, 10, 74, 18, 82, 26, 90, 34, 98, 42, 106, 50, 114, 58, 122, 62, 126, 54, 118, 46, 110, 38, 102, 30, 94, 22, 86, 14, 78, 6, 70, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 61, 125, 60, 124, 52, 116, 44, 108, 36, 100, 28, 92, 20, 84, 12, 76, 5, 69)(2, 66, 7, 71, 15, 79, 23, 87, 31, 95, 39, 103, 47, 111, 55, 119, 63, 127, 57, 121, 49, 113, 41, 105, 33, 97, 25, 89, 17, 81, 9, 73, 4, 68, 11, 75, 19, 83, 27, 91, 35, 99, 43, 107, 51, 115, 59, 123, 64, 128, 56, 120, 48, 112, 40, 104, 32, 96, 24, 88, 16, 80, 8, 72)
	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, 93)(26, 96)(27, 94)(28, 95)(29, 88)(30, 87)(31, 102)(32, 101)(33, 90)(34, 105)(35, 92)(36, 107)(37, 97)(38, 99)(39, 100)(40, 98)(41, 109)(42, 112)(43, 110)(44, 111)(45, 104)(46, 103)(47, 118)(48, 117)(49, 106)(50, 121)(51, 108)(52, 123)(53, 113)(54, 115)(55, 116)(56, 114)(57, 125)(58, 128)(59, 126)(60, 127)(61, 120)(62, 119)(63, 122)(64, 124)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.345
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 64 f = 48
	degree seq :: [ 64^2 ]

E8.350 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 32})
Quotient :: loop
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^4, (T2 * T1^6)^2, T2 * T1^-1 * T2 * T1^15 ]
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, 26, 90)(19, 83, 27, 91)(20, 84, 30, 94)(22, 86, 32, 96)(25, 89, 34, 98)(28, 92, 33, 97)(29, 93, 38, 102)(31, 95, 40, 104)(35, 99, 42, 106)(36, 100, 43, 107)(37, 101, 46, 110)(39, 103, 48, 112)(41, 105, 50, 114)(44, 108, 49, 113)(45, 109, 54, 118)(47, 111, 56, 120)(51, 115, 58, 122)(52, 116, 59, 123)(53, 117, 62, 126)(55, 119, 64, 128)(57, 121, 61, 125)(60, 124, 63, 127)
	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, 87)(17, 88)(18, 91)(19, 74)(20, 93)(21, 78)(22, 76)(23, 81)(24, 96)(25, 97)(26, 80)(27, 99)(28, 83)(29, 101)(30, 86)(31, 85)(32, 104)(33, 105)(34, 90)(35, 107)(36, 92)(37, 109)(38, 95)(39, 94)(40, 112)(41, 113)(42, 98)(43, 115)(44, 100)(45, 117)(46, 103)(47, 102)(48, 120)(49, 121)(50, 106)(51, 123)(52, 108)(53, 125)(54, 111)(55, 110)(56, 128)(57, 127)(58, 114)(59, 126)(60, 116)(61, 122)(62, 119)(63, 118)(64, 124)
	local type(s) :: { ( 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E8.346
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 18
	degree seq :: [ 4^32 ]

E8.351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^32 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 11, 75)(13, 77, 17, 81)(14, 78, 18, 82)(15, 79, 19, 83)(16, 80, 20, 84)(21, 85, 25, 89)(22, 86, 26, 90)(23, 87, 27, 91)(24, 88, 28, 92)(29, 93, 33, 97)(30, 94, 34, 98)(31, 95, 35, 99)(32, 96, 36, 100)(37, 101, 41, 105)(38, 102, 42, 106)(39, 103, 43, 107)(40, 104, 44, 108)(45, 109, 49, 113)(46, 110, 50, 114)(47, 111, 51, 115)(48, 112, 52, 116)(53, 117, 57, 121)(54, 118, 58, 122)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 136, 200, 132, 196)(130, 194, 133, 197, 139, 203, 134, 198)(135, 199, 141, 205, 137, 201, 142, 206)(138, 202, 143, 207, 140, 204, 144, 208)(145, 209, 149, 213, 146, 210, 150, 214)(147, 211, 151, 215, 148, 212, 152, 216)(153, 217, 157, 221, 154, 218, 158, 222)(155, 219, 159, 223, 156, 220, 160, 224)(161, 225, 165, 229, 162, 226, 166, 230)(163, 227, 167, 231, 164, 228, 168, 232)(169, 233, 173, 237, 170, 234, 174, 238)(171, 235, 175, 239, 172, 236, 176, 240)(177, 241, 181, 245, 178, 242, 182, 246)(179, 243, 183, 247, 180, 244, 184, 248)(185, 249, 189, 253, 186, 250, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 138)(6, 140)(7, 131)(8, 139)(9, 132)(10, 133)(11, 136)(12, 134)(13, 145)(14, 146)(15, 147)(16, 148)(17, 141)(18, 142)(19, 143)(20, 144)(21, 153)(22, 154)(23, 155)(24, 156)(25, 149)(26, 150)(27, 151)(28, 152)(29, 161)(30, 162)(31, 163)(32, 164)(33, 157)(34, 158)(35, 159)(36, 160)(37, 169)(38, 170)(39, 171)(40, 172)(41, 165)(42, 166)(43, 167)(44, 168)(45, 177)(46, 178)(47, 179)(48, 180)(49, 173)(50, 174)(51, 175)(52, 176)(53, 185)(54, 186)(55, 187)(56, 188)(57, 181)(58, 182)(59, 183)(60, 184)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 64, 2, 64 ), ( 2, 64, 2, 64, 2, 64, 2, 64 ) }
Outer automorphisms :: reflexible
Dual of E8.354
Graph:: bipartite
	v = 48 e = 128 f = 66
	degree seq :: [ 4^32, 8^16 ]

E8.352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y1^-1 * Y2^-16 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 13, 77, 8, 72)(5, 69, 11, 75, 14, 78, 7, 71)(10, 74, 16, 80, 21, 85, 17, 81)(12, 76, 15, 79, 22, 86, 19, 83)(18, 82, 25, 89, 29, 93, 24, 88)(20, 84, 27, 91, 30, 94, 23, 87)(26, 90, 32, 96, 37, 101, 33, 97)(28, 92, 31, 95, 38, 102, 35, 99)(34, 98, 41, 105, 45, 109, 40, 104)(36, 100, 43, 107, 46, 110, 39, 103)(42, 106, 48, 112, 53, 117, 49, 113)(44, 108, 47, 111, 54, 118, 51, 115)(50, 114, 57, 121, 61, 125, 56, 120)(52, 116, 59, 123, 62, 126, 55, 119)(58, 122, 64, 128, 60, 124, 63, 127)(129, 193, 131, 195, 138, 202, 146, 210, 154, 218, 162, 226, 170, 234, 178, 242, 186, 250, 190, 254, 182, 246, 174, 238, 166, 230, 158, 222, 150, 214, 142, 206, 134, 198, 141, 205, 149, 213, 157, 221, 165, 229, 173, 237, 181, 245, 189, 253, 188, 252, 180, 244, 172, 236, 164, 228, 156, 220, 148, 212, 140, 204, 133, 197)(130, 194, 135, 199, 143, 207, 151, 215, 159, 223, 167, 231, 175, 239, 183, 247, 191, 255, 185, 249, 177, 241, 169, 233, 161, 225, 153, 217, 145, 209, 137, 201, 132, 196, 139, 203, 147, 211, 155, 219, 163, 227, 171, 235, 179, 243, 187, 251, 192, 256, 184, 248, 176, 240, 168, 232, 160, 224, 152, 216, 144, 208, 136, 200)
	L = (1, 131)(2, 135)(3, 138)(4, 139)(5, 129)(6, 141)(7, 143)(8, 130)(9, 132)(10, 146)(11, 147)(12, 133)(13, 149)(14, 134)(15, 151)(16, 136)(17, 137)(18, 154)(19, 155)(20, 140)(21, 157)(22, 142)(23, 159)(24, 144)(25, 145)(26, 162)(27, 163)(28, 148)(29, 165)(30, 150)(31, 167)(32, 152)(33, 153)(34, 170)(35, 171)(36, 156)(37, 173)(38, 158)(39, 175)(40, 160)(41, 161)(42, 178)(43, 179)(44, 164)(45, 181)(46, 166)(47, 183)(48, 168)(49, 169)(50, 186)(51, 187)(52, 172)(53, 189)(54, 174)(55, 191)(56, 176)(57, 177)(58, 190)(59, 192)(60, 180)(61, 188)(62, 182)(63, 185)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E8.353
Graph:: bipartite
	v = 18 e = 128 f = 96
	degree seq :: [ 8^16, 64^2 ]

E8.353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|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, Y3^13 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^32 ]
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, 148, 212)(144, 208, 151, 215)(145, 209, 153, 217)(146, 210, 149, 213)(147, 211, 155, 219)(150, 214, 157, 221)(152, 216, 159, 223)(154, 218, 160, 224)(156, 220, 158, 222)(161, 225, 167, 231)(162, 226, 169, 233)(163, 227, 165, 229)(164, 228, 171, 235)(166, 230, 173, 237)(168, 232, 175, 239)(170, 234, 176, 240)(172, 236, 174, 238)(177, 241, 183, 247)(178, 242, 185, 249)(179, 243, 181, 245)(180, 244, 187, 251)(182, 246, 189, 253)(184, 248, 191, 255)(186, 250, 192, 256)(188, 252, 190, 254)
	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, 154)(18, 155)(19, 138)(20, 141)(21, 139)(22, 158)(23, 159)(24, 142)(25, 144)(26, 162)(27, 163)(28, 147)(29, 149)(30, 166)(31, 167)(32, 152)(33, 153)(34, 170)(35, 171)(36, 156)(37, 157)(38, 174)(39, 175)(40, 160)(41, 161)(42, 178)(43, 179)(44, 164)(45, 165)(46, 182)(47, 183)(48, 168)(49, 169)(50, 186)(51, 187)(52, 172)(53, 173)(54, 190)(55, 191)(56, 176)(57, 177)(58, 189)(59, 192)(60, 180)(61, 181)(62, 185)(63, 188)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 64 ), ( 8, 64, 8, 64 ) }
Outer automorphisms :: reflexible
Dual of E8.352
Graph:: simple bipartite
	v = 96 e = 128 f = 18
	degree seq :: [ 2^64, 4^32 ]

E8.354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, (Y3 * Y1^6)^2, Y3 * Y1^-1 * Y3 * Y1^15 ]
Map::
	R = (1, 65, 2, 66, 5, 69, 11, 75, 20, 84, 29, 93, 37, 101, 45, 109, 53, 117, 61, 125, 58, 122, 50, 114, 42, 106, 34, 98, 26, 90, 16, 80, 23, 87, 17, 81, 24, 88, 32, 96, 40, 104, 48, 112, 56, 120, 64, 128, 60, 124, 52, 116, 44, 108, 36, 100, 28, 92, 19, 83, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 25, 89, 33, 97, 41, 105, 49, 113, 57, 121, 63, 127, 54, 118, 47, 111, 38, 102, 31, 95, 21, 85, 14, 78, 6, 70, 13, 77, 9, 73, 18, 82, 27, 91, 35, 99, 43, 107, 51, 115, 59, 123, 62, 126, 55, 119, 46, 110, 39, 103, 30, 94, 22, 86, 12, 76, 8, 72)(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, 154)(19, 155)(20, 158)(21, 139)(22, 160)(23, 141)(24, 142)(25, 162)(26, 146)(27, 147)(28, 161)(29, 166)(30, 148)(31, 168)(32, 150)(33, 156)(34, 153)(35, 170)(36, 171)(37, 174)(38, 157)(39, 176)(40, 159)(41, 178)(42, 163)(43, 164)(44, 177)(45, 182)(46, 165)(47, 184)(48, 167)(49, 172)(50, 169)(51, 186)(52, 187)(53, 190)(54, 173)(55, 192)(56, 175)(57, 189)(58, 179)(59, 180)(60, 191)(61, 185)(62, 181)(63, 188)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E8.351
Graph:: simple bipartite
	v = 66 e = 128 f = 48
	degree seq :: [ 2^64, 64^2 ]

E8.355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^4, Y2^3 * Y1 * Y2^-13 * Y1 ]
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, 20, 84)(16, 80, 23, 87)(17, 81, 25, 89)(18, 82, 21, 85)(19, 83, 27, 91)(22, 86, 29, 93)(24, 88, 31, 95)(26, 90, 32, 96)(28, 92, 30, 94)(33, 97, 39, 103)(34, 98, 41, 105)(35, 99, 37, 101)(36, 100, 43, 107)(38, 102, 45, 109)(40, 104, 47, 111)(42, 106, 48, 112)(44, 108, 46, 110)(49, 113, 55, 119)(50, 114, 57, 121)(51, 115, 53, 117)(52, 116, 59, 123)(54, 118, 61, 125)(56, 120, 63, 127)(58, 122, 64, 128)(60, 124, 62, 126)(129, 193, 131, 195, 136, 200, 145, 209, 154, 218, 162, 226, 170, 234, 178, 242, 186, 250, 189, 253, 181, 245, 173, 237, 165, 229, 157, 221, 149, 213, 139, 203, 148, 212, 141, 205, 151, 215, 159, 223, 167, 231, 175, 239, 183, 247, 191, 255, 188, 252, 180, 244, 172, 236, 164, 228, 156, 220, 147, 211, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 150, 214, 158, 222, 166, 230, 174, 238, 182, 246, 190, 254, 185, 249, 177, 241, 169, 233, 161, 225, 153, 217, 144, 208, 135, 199, 143, 207, 137, 201, 146, 210, 155, 219, 163, 227, 171, 235, 179, 243, 187, 251, 192, 256, 184, 248, 176, 240, 168, 232, 160, 224, 152, 216, 142, 206, 134, 198)
	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, 148)(16, 151)(17, 153)(18, 149)(19, 155)(20, 143)(21, 146)(22, 157)(23, 144)(24, 159)(25, 145)(26, 160)(27, 147)(28, 158)(29, 150)(30, 156)(31, 152)(32, 154)(33, 167)(34, 169)(35, 165)(36, 171)(37, 163)(38, 173)(39, 161)(40, 175)(41, 162)(42, 176)(43, 164)(44, 174)(45, 166)(46, 172)(47, 168)(48, 170)(49, 183)(50, 185)(51, 181)(52, 187)(53, 179)(54, 189)(55, 177)(56, 191)(57, 178)(58, 192)(59, 180)(60, 190)(61, 182)(62, 188)(63, 184)(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, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E8.356
Graph:: bipartite
	v = 34 e = 128 f = 80
	degree seq :: [ 4^32, 64^2 ]

E8.356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 32})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|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^-16 * Y1^-1, (Y3 * Y2^-1)^32 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 13, 77, 8, 72)(5, 69, 11, 75, 14, 78, 7, 71)(10, 74, 16, 80, 21, 85, 17, 81)(12, 76, 15, 79, 22, 86, 19, 83)(18, 82, 25, 89, 29, 93, 24, 88)(20, 84, 27, 91, 30, 94, 23, 87)(26, 90, 32, 96, 37, 101, 33, 97)(28, 92, 31, 95, 38, 102, 35, 99)(34, 98, 41, 105, 45, 109, 40, 104)(36, 100, 43, 107, 46, 110, 39, 103)(42, 106, 48, 112, 53, 117, 49, 113)(44, 108, 47, 111, 54, 118, 51, 115)(50, 114, 57, 121, 61, 125, 56, 120)(52, 116, 59, 123, 62, 126, 55, 119)(58, 122, 64, 128, 60, 124, 63, 127)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 139)(5, 129)(6, 141)(7, 143)(8, 130)(9, 132)(10, 146)(11, 147)(12, 133)(13, 149)(14, 134)(15, 151)(16, 136)(17, 137)(18, 154)(19, 155)(20, 140)(21, 157)(22, 142)(23, 159)(24, 144)(25, 145)(26, 162)(27, 163)(28, 148)(29, 165)(30, 150)(31, 167)(32, 152)(33, 153)(34, 170)(35, 171)(36, 156)(37, 173)(38, 158)(39, 175)(40, 160)(41, 161)(42, 178)(43, 179)(44, 164)(45, 181)(46, 166)(47, 183)(48, 168)(49, 169)(50, 186)(51, 187)(52, 172)(53, 189)(54, 174)(55, 191)(56, 176)(57, 177)(58, 190)(59, 192)(60, 180)(61, 188)(62, 182)(63, 185)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E8.355
Graph:: simple bipartite
	v = 80 e = 128 f = 34
	degree seq :: [ 2^64, 8^16 ]

E8.357 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 18})
Quotient :: regular
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^18 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 69, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 68, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 70, 72, 71, 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, 68)(63, 70)(67, 71)(69, 72)
	local type(s) :: { ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E8.358
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 36 f = 18
	degree seq :: [ 18^4 ]

E8.358 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 18})
Quotient :: regular
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^18 ]
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, 47, 32, 48)(35, 61, 39, 64)(36, 63, 38, 66)(37, 67, 44, 69)(40, 59, 43, 57)(41, 68, 42, 62)(45, 70, 46, 65)(49, 72, 50, 71)(51, 60, 52, 58)(53, 56, 54, 55)
	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, 57)(34, 59)(35, 62)(36, 65)(37, 66)(38, 70)(39, 68)(40, 61)(41, 71)(42, 72)(43, 64)(44, 63)(45, 58)(46, 60)(47, 67)(48, 69)(49, 55)(50, 56)(51, 54)(52, 53)
	local type(s) :: { ( 18^4 ) }
Outer automorphisms :: reflexible
Dual of E8.357
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 36 f = 4
	degree seq :: [ 4^18 ]

E8.359 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 18})
Quotient :: edge
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^18 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 9, 14)(10, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)(33, 53, 34, 55)(35, 57, 40, 59)(36, 61, 43, 63)(37, 64, 38, 60)(39, 67, 41, 69)(42, 71, 44, 68)(45, 62, 46, 72)(47, 58, 48, 70)(49, 65, 50, 66)(51, 56, 52, 54)(73, 74)(75, 79)(76, 81)(77, 82)(78, 84)(80, 83)(85, 89)(86, 90)(87, 91)(88, 92)(93, 97)(94, 98)(95, 99)(96, 100)(101, 105)(102, 106)(103, 110)(104, 109)(107, 125)(108, 132)(111, 129)(112, 127)(113, 131)(114, 133)(115, 136)(116, 135)(117, 139)(118, 141)(119, 143)(120, 140)(121, 134)(122, 144)(123, 130)(124, 142)(126, 137)(128, 138)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 36 ), ( 36^4 ) }
Outer automorphisms :: reflexible
Dual of E8.363
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 72 f = 4
	degree seq :: [ 2^36, 4^18 ]

E8.360 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 18})
Quotient :: edge
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^18 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 70, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 71, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 68, 72, 69, 62, 54, 46, 38, 30, 22, 14)(73, 74, 78, 76)(75, 81, 85, 80)(77, 83, 86, 79)(82, 88, 93, 89)(84, 87, 94, 91)(90, 97, 101, 96)(92, 99, 102, 95)(98, 104, 109, 105)(100, 103, 110, 107)(106, 113, 117, 112)(108, 115, 118, 111)(114, 120, 125, 121)(116, 119, 126, 123)(122, 129, 133, 128)(124, 131, 134, 127)(130, 136, 140, 137)(132, 135, 141, 139)(138, 143, 144, 142)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4^4 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E8.364
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 72 f = 36
	degree seq :: [ 4^18, 18^4 ]

E8.361 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 18})
Quotient :: edge
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^18 ]
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, 68)(63, 70)(67, 71)(69, 72)(73, 74, 77, 83, 92, 101, 109, 117, 125, 133, 132, 124, 116, 108, 100, 91, 82, 76)(75, 79, 87, 97, 105, 113, 121, 129, 137, 141, 134, 127, 118, 111, 102, 94, 84, 80)(78, 85, 81, 90, 99, 107, 115, 123, 131, 139, 140, 135, 126, 119, 110, 103, 93, 86)(88, 95, 89, 96, 104, 112, 120, 128, 136, 142, 144, 143, 138, 130, 122, 114, 106, 98)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 8 ), ( 8^18 ) }
Outer automorphisms :: reflexible
Dual of E8.362
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 72 f = 18
	degree seq :: [ 2^36, 18^4 ]

E8.362 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 18})
Quotient :: loop
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^18 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 4, 76)(2, 74, 5, 77, 11, 83, 6, 78)(7, 79, 13, 85, 9, 81, 14, 86)(10, 82, 15, 87, 12, 84, 16, 88)(17, 89, 21, 93, 18, 90, 22, 94)(19, 91, 23, 95, 20, 92, 24, 96)(25, 97, 29, 101, 26, 98, 30, 102)(27, 99, 31, 103, 28, 100, 32, 104)(33, 105, 61, 133, 34, 106, 62, 134)(35, 107, 64, 136, 42, 114, 65, 137)(36, 108, 67, 139, 45, 117, 68, 140)(37, 109, 59, 131, 38, 110, 60, 132)(39, 111, 57, 129, 40, 112, 58, 130)(41, 113, 70, 142, 43, 115, 63, 135)(44, 116, 72, 144, 46, 118, 66, 138)(47, 119, 56, 128, 48, 120, 55, 127)(49, 121, 54, 126, 50, 122, 53, 125)(51, 123, 71, 143, 52, 124, 69, 141)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 82)(6, 84)(7, 75)(8, 83)(9, 76)(10, 77)(11, 80)(12, 78)(13, 89)(14, 90)(15, 91)(16, 92)(17, 85)(18, 86)(19, 87)(20, 88)(21, 97)(22, 98)(23, 99)(24, 100)(25, 93)(26, 94)(27, 95)(28, 96)(29, 105)(30, 106)(31, 124)(32, 123)(33, 101)(34, 102)(35, 135)(36, 138)(37, 139)(38, 140)(39, 136)(40, 137)(41, 141)(42, 142)(43, 143)(44, 133)(45, 144)(46, 134)(47, 131)(48, 132)(49, 129)(50, 130)(51, 104)(52, 103)(53, 128)(54, 127)(55, 126)(56, 125)(57, 121)(58, 122)(59, 119)(60, 120)(61, 116)(62, 118)(63, 107)(64, 111)(65, 112)(66, 108)(67, 109)(68, 110)(69, 113)(70, 114)(71, 115)(72, 117)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.361
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 40
	degree seq :: [ 8^18 ]

E8.363 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 18})
Quotient :: loop
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^18 ]
Map::
	R = (1, 73, 3, 75, 10, 82, 18, 90, 26, 98, 34, 106, 42, 114, 50, 122, 58, 130, 66, 138, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 20, 92, 12, 84, 5, 77)(2, 74, 7, 79, 15, 87, 23, 95, 31, 103, 39, 111, 47, 119, 55, 127, 63, 135, 70, 142, 64, 136, 56, 128, 48, 120, 40, 112, 32, 104, 24, 96, 16, 88, 8, 80)(4, 76, 11, 83, 19, 91, 27, 99, 35, 107, 43, 115, 51, 123, 59, 131, 67, 139, 71, 143, 65, 137, 57, 129, 49, 121, 41, 113, 33, 105, 25, 97, 17, 89, 9, 81)(6, 78, 13, 85, 21, 93, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 68, 140, 72, 144, 69, 141, 62, 134, 54, 126, 46, 118, 38, 110, 30, 102, 22, 94, 14, 86)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 83)(6, 76)(7, 77)(8, 75)(9, 85)(10, 88)(11, 86)(12, 87)(13, 80)(14, 79)(15, 94)(16, 93)(17, 82)(18, 97)(19, 84)(20, 99)(21, 89)(22, 91)(23, 92)(24, 90)(25, 101)(26, 104)(27, 102)(28, 103)(29, 96)(30, 95)(31, 110)(32, 109)(33, 98)(34, 113)(35, 100)(36, 115)(37, 105)(38, 107)(39, 108)(40, 106)(41, 117)(42, 120)(43, 118)(44, 119)(45, 112)(46, 111)(47, 126)(48, 125)(49, 114)(50, 129)(51, 116)(52, 131)(53, 121)(54, 123)(55, 124)(56, 122)(57, 133)(58, 136)(59, 134)(60, 135)(61, 128)(62, 127)(63, 141)(64, 140)(65, 130)(66, 143)(67, 132)(68, 137)(69, 139)(70, 138)(71, 144)(72, 142)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.359
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 72 f = 54
	degree seq :: [ 36^4 ]

E8.364 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 18})
Quotient :: loop
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^18 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75)(2, 74, 6, 78)(4, 76, 9, 81)(5, 77, 12, 84)(7, 79, 16, 88)(8, 80, 17, 89)(10, 82, 15, 87)(11, 83, 21, 93)(13, 85, 23, 95)(14, 86, 24, 96)(18, 90, 26, 98)(19, 91, 27, 99)(20, 92, 30, 102)(22, 94, 32, 104)(25, 97, 34, 106)(28, 100, 33, 105)(29, 101, 38, 110)(31, 103, 40, 112)(35, 107, 42, 114)(36, 108, 43, 115)(37, 109, 46, 118)(39, 111, 48, 120)(41, 113, 50, 122)(44, 116, 49, 121)(45, 117, 54, 126)(47, 119, 56, 128)(51, 123, 58, 130)(52, 124, 59, 131)(53, 125, 62, 134)(55, 127, 64, 136)(57, 129, 66, 138)(60, 132, 65, 137)(61, 133, 68, 140)(63, 135, 70, 142)(67, 139, 71, 143)(69, 141, 72, 144)
	L = (1, 74)(2, 77)(3, 79)(4, 73)(5, 83)(6, 85)(7, 87)(8, 75)(9, 90)(10, 76)(11, 92)(12, 80)(13, 81)(14, 78)(15, 97)(16, 95)(17, 96)(18, 99)(19, 82)(20, 101)(21, 86)(22, 84)(23, 89)(24, 104)(25, 105)(26, 88)(27, 107)(28, 91)(29, 109)(30, 94)(31, 93)(32, 112)(33, 113)(34, 98)(35, 115)(36, 100)(37, 117)(38, 103)(39, 102)(40, 120)(41, 121)(42, 106)(43, 123)(44, 108)(45, 125)(46, 111)(47, 110)(48, 128)(49, 129)(50, 114)(51, 131)(52, 116)(53, 133)(54, 119)(55, 118)(56, 136)(57, 137)(58, 122)(59, 139)(60, 124)(61, 132)(62, 127)(63, 126)(64, 142)(65, 141)(66, 130)(67, 140)(68, 135)(69, 134)(70, 144)(71, 138)(72, 143)
	local type(s) :: { ( 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E8.360
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 22
	degree seq :: [ 4^36 ]

E8.365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, 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)^18 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 10, 82)(6, 78, 12, 84)(8, 80, 11, 83)(13, 85, 17, 89)(14, 86, 18, 90)(15, 87, 19, 91)(16, 88, 20, 92)(21, 93, 25, 97)(22, 94, 26, 98)(23, 95, 27, 99)(24, 96, 28, 100)(29, 101, 33, 105)(30, 102, 34, 106)(31, 103, 51, 123)(32, 104, 52, 124)(35, 107, 55, 127)(36, 108, 56, 128)(37, 109, 57, 129)(38, 110, 58, 130)(39, 111, 59, 131)(40, 112, 60, 132)(41, 113, 61, 133)(42, 114, 62, 134)(43, 115, 63, 135)(44, 116, 64, 136)(45, 117, 65, 137)(46, 118, 66, 138)(47, 119, 67, 139)(48, 120, 68, 140)(49, 121, 69, 141)(50, 122, 70, 142)(53, 125, 72, 144)(54, 126, 71, 143)(145, 217, 147, 219, 152, 224, 148, 220)(146, 218, 149, 221, 155, 227, 150, 222)(151, 223, 157, 229, 153, 225, 158, 230)(154, 226, 159, 231, 156, 228, 160, 232)(161, 233, 165, 237, 162, 234, 166, 238)(163, 235, 167, 239, 164, 236, 168, 240)(169, 241, 173, 245, 170, 242, 174, 246)(171, 243, 175, 247, 172, 244, 176, 248)(177, 249, 182, 254, 178, 250, 179, 251)(180, 252, 195, 267, 185, 257, 196, 268)(181, 253, 202, 274, 183, 255, 199, 271)(184, 256, 205, 277, 186, 258, 200, 272)(187, 259, 203, 275, 188, 260, 201, 273)(189, 261, 206, 278, 190, 262, 204, 276)(191, 263, 208, 280, 192, 264, 207, 279)(193, 265, 210, 282, 194, 266, 209, 281)(197, 269, 212, 284, 198, 270, 211, 283)(213, 285, 215, 287, 214, 286, 216, 288)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 154)(6, 156)(7, 147)(8, 155)(9, 148)(10, 149)(11, 152)(12, 150)(13, 161)(14, 162)(15, 163)(16, 164)(17, 157)(18, 158)(19, 159)(20, 160)(21, 169)(22, 170)(23, 171)(24, 172)(25, 165)(26, 166)(27, 167)(28, 168)(29, 177)(30, 178)(31, 195)(32, 196)(33, 173)(34, 174)(35, 199)(36, 200)(37, 201)(38, 202)(39, 203)(40, 204)(41, 205)(42, 206)(43, 207)(44, 208)(45, 209)(46, 210)(47, 211)(48, 212)(49, 213)(50, 214)(51, 175)(52, 176)(53, 216)(54, 215)(55, 179)(56, 180)(57, 181)(58, 182)(59, 183)(60, 184)(61, 185)(62, 186)(63, 187)(64, 188)(65, 189)(66, 190)(67, 191)(68, 192)(69, 193)(70, 194)(71, 198)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.368
Graph:: bipartite
	v = 54 e = 144 f = 76
	degree seq :: [ 4^36, 8^18 ]

E8.366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 13, 85, 8, 80)(5, 77, 11, 83, 14, 86, 7, 79)(10, 82, 16, 88, 21, 93, 17, 89)(12, 84, 15, 87, 22, 94, 19, 91)(18, 90, 25, 97, 29, 101, 24, 96)(20, 92, 27, 99, 30, 102, 23, 95)(26, 98, 32, 104, 37, 109, 33, 105)(28, 100, 31, 103, 38, 110, 35, 107)(34, 106, 41, 113, 45, 117, 40, 112)(36, 108, 43, 115, 46, 118, 39, 111)(42, 114, 48, 120, 53, 125, 49, 121)(44, 116, 47, 119, 54, 126, 51, 123)(50, 122, 57, 129, 61, 133, 56, 128)(52, 124, 59, 131, 62, 134, 55, 127)(58, 130, 64, 136, 68, 140, 65, 137)(60, 132, 63, 135, 69, 141, 67, 139)(66, 138, 71, 143, 72, 144, 70, 142)(145, 217, 147, 219, 154, 226, 162, 234, 170, 242, 178, 250, 186, 258, 194, 266, 202, 274, 210, 282, 204, 276, 196, 268, 188, 260, 180, 252, 172, 244, 164, 236, 156, 228, 149, 221)(146, 218, 151, 223, 159, 231, 167, 239, 175, 247, 183, 255, 191, 263, 199, 271, 207, 279, 214, 286, 208, 280, 200, 272, 192, 264, 184, 256, 176, 248, 168, 240, 160, 232, 152, 224)(148, 220, 155, 227, 163, 235, 171, 243, 179, 251, 187, 259, 195, 267, 203, 275, 211, 283, 215, 287, 209, 281, 201, 273, 193, 265, 185, 257, 177, 249, 169, 241, 161, 233, 153, 225)(150, 222, 157, 229, 165, 237, 173, 245, 181, 253, 189, 261, 197, 269, 205, 277, 212, 284, 216, 288, 213, 285, 206, 278, 198, 270, 190, 262, 182, 254, 174, 246, 166, 238, 158, 230)
	L = (1, 147)(2, 151)(3, 154)(4, 155)(5, 145)(6, 157)(7, 159)(8, 146)(9, 148)(10, 162)(11, 163)(12, 149)(13, 165)(14, 150)(15, 167)(16, 152)(17, 153)(18, 170)(19, 171)(20, 156)(21, 173)(22, 158)(23, 175)(24, 160)(25, 161)(26, 178)(27, 179)(28, 164)(29, 181)(30, 166)(31, 183)(32, 168)(33, 169)(34, 186)(35, 187)(36, 172)(37, 189)(38, 174)(39, 191)(40, 176)(41, 177)(42, 194)(43, 195)(44, 180)(45, 197)(46, 182)(47, 199)(48, 184)(49, 185)(50, 202)(51, 203)(52, 188)(53, 205)(54, 190)(55, 207)(56, 192)(57, 193)(58, 210)(59, 211)(60, 196)(61, 212)(62, 198)(63, 214)(64, 200)(65, 201)(66, 204)(67, 215)(68, 216)(69, 206)(70, 208)(71, 209)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.367
Graph:: bipartite
	v = 22 e = 144 f = 108
	degree seq :: [ 8^18, 36^4 ]

E8.367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218)(147, 219, 151, 223)(148, 220, 153, 225)(149, 221, 155, 227)(150, 222, 157, 229)(152, 224, 158, 230)(154, 226, 156, 228)(159, 231, 164, 236)(160, 232, 167, 239)(161, 233, 169, 241)(162, 234, 165, 237)(163, 235, 171, 243)(166, 238, 173, 245)(168, 240, 175, 247)(170, 242, 176, 248)(172, 244, 174, 246)(177, 249, 183, 255)(178, 250, 185, 257)(179, 251, 181, 253)(180, 252, 187, 259)(182, 254, 189, 261)(184, 256, 191, 263)(186, 258, 192, 264)(188, 260, 190, 262)(193, 265, 199, 271)(194, 266, 201, 273)(195, 267, 197, 269)(196, 268, 203, 275)(198, 270, 205, 277)(200, 272, 207, 279)(202, 274, 208, 280)(204, 276, 206, 278)(209, 281, 214, 286)(210, 282, 215, 287)(211, 283, 212, 284)(213, 285, 216, 288)
	L = (1, 147)(2, 149)(3, 152)(4, 145)(5, 156)(6, 146)(7, 159)(8, 161)(9, 162)(10, 148)(11, 164)(12, 166)(13, 167)(14, 150)(15, 153)(16, 151)(17, 170)(18, 171)(19, 154)(20, 157)(21, 155)(22, 174)(23, 175)(24, 158)(25, 160)(26, 178)(27, 179)(28, 163)(29, 165)(30, 182)(31, 183)(32, 168)(33, 169)(34, 186)(35, 187)(36, 172)(37, 173)(38, 190)(39, 191)(40, 176)(41, 177)(42, 194)(43, 195)(44, 180)(45, 181)(46, 198)(47, 199)(48, 184)(49, 185)(50, 202)(51, 203)(52, 188)(53, 189)(54, 206)(55, 207)(56, 192)(57, 193)(58, 210)(59, 211)(60, 196)(61, 197)(62, 213)(63, 214)(64, 200)(65, 201)(66, 204)(67, 215)(68, 205)(69, 208)(70, 216)(71, 209)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 36 ), ( 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.366
Graph:: simple bipartite
	v = 108 e = 144 f = 22
	degree seq :: [ 2^72, 4^36 ]

E8.368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|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, Y1^18 ]
Map:: polytopal
	R = (1, 73, 2, 74, 5, 77, 11, 83, 20, 92, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 19, 91, 10, 82, 4, 76)(3, 75, 7, 79, 15, 87, 25, 97, 33, 105, 41, 113, 49, 121, 57, 129, 65, 137, 69, 141, 62, 134, 55, 127, 46, 118, 39, 111, 30, 102, 22, 94, 12, 84, 8, 80)(6, 78, 13, 85, 9, 81, 18, 90, 27, 99, 35, 107, 43, 115, 51, 123, 59, 131, 67, 139, 68, 140, 63, 135, 54, 126, 47, 119, 38, 110, 31, 103, 21, 93, 14, 86)(16, 88, 23, 95, 17, 89, 24, 96, 32, 104, 40, 112, 48, 120, 56, 128, 64, 136, 70, 142, 72, 144, 71, 143, 66, 138, 58, 130, 50, 122, 42, 114, 34, 106, 26, 98)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 150)(3, 145)(4, 153)(5, 156)(6, 146)(7, 160)(8, 161)(9, 148)(10, 159)(11, 165)(12, 149)(13, 167)(14, 168)(15, 154)(16, 151)(17, 152)(18, 170)(19, 171)(20, 174)(21, 155)(22, 176)(23, 157)(24, 158)(25, 178)(26, 162)(27, 163)(28, 177)(29, 182)(30, 164)(31, 184)(32, 166)(33, 172)(34, 169)(35, 186)(36, 187)(37, 190)(38, 173)(39, 192)(40, 175)(41, 194)(42, 179)(43, 180)(44, 193)(45, 198)(46, 181)(47, 200)(48, 183)(49, 188)(50, 185)(51, 202)(52, 203)(53, 206)(54, 189)(55, 208)(56, 191)(57, 210)(58, 195)(59, 196)(60, 209)(61, 212)(62, 197)(63, 214)(64, 199)(65, 204)(66, 201)(67, 215)(68, 205)(69, 216)(70, 207)(71, 211)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E8.365
Graph:: simple bipartite
	v = 76 e = 144 f = 54
	degree seq :: [ 2^72, 36^4 ]

E8.369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, 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, Y2^18 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 14, 86)(10, 82, 12, 84)(15, 87, 20, 92)(16, 88, 23, 95)(17, 89, 25, 97)(18, 90, 21, 93)(19, 91, 27, 99)(22, 94, 29, 101)(24, 96, 31, 103)(26, 98, 32, 104)(28, 100, 30, 102)(33, 105, 39, 111)(34, 106, 41, 113)(35, 107, 37, 109)(36, 108, 43, 115)(38, 110, 45, 117)(40, 112, 47, 119)(42, 114, 48, 120)(44, 116, 46, 118)(49, 121, 55, 127)(50, 122, 57, 129)(51, 123, 53, 125)(52, 124, 59, 131)(54, 126, 61, 133)(56, 128, 63, 135)(58, 130, 64, 136)(60, 132, 62, 134)(65, 137, 70, 142)(66, 138, 71, 143)(67, 139, 68, 140)(69, 141, 72, 144)(145, 217, 147, 219, 152, 224, 161, 233, 170, 242, 178, 250, 186, 258, 194, 266, 202, 274, 210, 282, 204, 276, 196, 268, 188, 260, 180, 252, 172, 244, 163, 235, 154, 226, 148, 220)(146, 218, 149, 221, 156, 228, 166, 238, 174, 246, 182, 254, 190, 262, 198, 270, 206, 278, 213, 285, 208, 280, 200, 272, 192, 264, 184, 256, 176, 248, 168, 240, 158, 230, 150, 222)(151, 223, 159, 231, 153, 225, 162, 234, 171, 243, 179, 251, 187, 259, 195, 267, 203, 275, 211, 283, 215, 287, 209, 281, 201, 273, 193, 265, 185, 257, 177, 249, 169, 241, 160, 232)(155, 227, 164, 236, 157, 229, 167, 239, 175, 247, 183, 255, 191, 263, 199, 271, 207, 279, 214, 286, 216, 288, 212, 284, 205, 277, 197, 269, 189, 261, 181, 253, 173, 245, 165, 237)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 158)(9, 148)(10, 156)(11, 149)(12, 154)(13, 150)(14, 152)(15, 164)(16, 167)(17, 169)(18, 165)(19, 171)(20, 159)(21, 162)(22, 173)(23, 160)(24, 175)(25, 161)(26, 176)(27, 163)(28, 174)(29, 166)(30, 172)(31, 168)(32, 170)(33, 183)(34, 185)(35, 181)(36, 187)(37, 179)(38, 189)(39, 177)(40, 191)(41, 178)(42, 192)(43, 180)(44, 190)(45, 182)(46, 188)(47, 184)(48, 186)(49, 199)(50, 201)(51, 197)(52, 203)(53, 195)(54, 205)(55, 193)(56, 207)(57, 194)(58, 208)(59, 196)(60, 206)(61, 198)(62, 204)(63, 200)(64, 202)(65, 214)(66, 215)(67, 212)(68, 211)(69, 216)(70, 209)(71, 210)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E8.370
Graph:: bipartite
	v = 40 e = 144 f = 90
	degree seq :: [ 4^36, 36^4 ]

E8.370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^18 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 13, 85, 8, 80)(5, 77, 11, 83, 14, 86, 7, 79)(10, 82, 16, 88, 21, 93, 17, 89)(12, 84, 15, 87, 22, 94, 19, 91)(18, 90, 25, 97, 29, 101, 24, 96)(20, 92, 27, 99, 30, 102, 23, 95)(26, 98, 32, 104, 37, 109, 33, 105)(28, 100, 31, 103, 38, 110, 35, 107)(34, 106, 41, 113, 45, 117, 40, 112)(36, 108, 43, 115, 46, 118, 39, 111)(42, 114, 48, 120, 53, 125, 49, 121)(44, 116, 47, 119, 54, 126, 51, 123)(50, 122, 57, 129, 61, 133, 56, 128)(52, 124, 59, 131, 62, 134, 55, 127)(58, 130, 64, 136, 68, 140, 65, 137)(60, 132, 63, 135, 69, 141, 67, 139)(66, 138, 71, 143, 72, 144, 70, 142)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 155)(5, 145)(6, 157)(7, 159)(8, 146)(9, 148)(10, 162)(11, 163)(12, 149)(13, 165)(14, 150)(15, 167)(16, 152)(17, 153)(18, 170)(19, 171)(20, 156)(21, 173)(22, 158)(23, 175)(24, 160)(25, 161)(26, 178)(27, 179)(28, 164)(29, 181)(30, 166)(31, 183)(32, 168)(33, 169)(34, 186)(35, 187)(36, 172)(37, 189)(38, 174)(39, 191)(40, 176)(41, 177)(42, 194)(43, 195)(44, 180)(45, 197)(46, 182)(47, 199)(48, 184)(49, 185)(50, 202)(51, 203)(52, 188)(53, 205)(54, 190)(55, 207)(56, 192)(57, 193)(58, 210)(59, 211)(60, 196)(61, 212)(62, 198)(63, 214)(64, 200)(65, 201)(66, 204)(67, 215)(68, 216)(69, 206)(70, 208)(71, 209)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E8.369
Graph:: simple bipartite
	v = 90 e = 144 f = 40
	degree seq :: [ 2^72, 8^18 ]

E8.371 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 6})
Quotient :: halfedge
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ X2^2, X1^6, (X2 * X1^-2 * X2 * X1^-1)^2, X2 * X1^2 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1, (X1 * X2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 64, 39, 20)(12, 23, 44, 73, 47, 24)(16, 31, 57, 78, 59, 32)(17, 33, 60, 75, 45, 34)(21, 40, 67, 81, 68, 41)(22, 42, 69, 61, 72, 43)(26, 50, 38, 66, 80, 51)(27, 52, 30, 56, 70, 53)(35, 63, 77, 46, 76, 49)(37, 65, 71, 55, 74, 54)(58, 79, 62, 82, 84, 83)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 58)(32, 47)(33, 61)(34, 62)(36, 60)(39, 56)(40, 63)(41, 57)(42, 70)(43, 71)(44, 74)(48, 78)(50, 79)(51, 72)(52, 81)(53, 82)(59, 69)(64, 76)(65, 83)(66, 73)(67, 80)(68, 75)(77, 84)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 14 e = 42 f = 14
	degree seq :: [ 6^14 ]

E8.372 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 6})
Quotient :: halfedge
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ X2^2, X1^6, (X1^-2 * X2 * X1^-1)^2, (X1^-1 * X2)^6, X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 22, 18, 8)(6, 13, 25, 21, 28, 14)(9, 19, 24, 12, 23, 20)(16, 30, 47, 34, 50, 31)(17, 32, 46, 29, 45, 33)(26, 40, 63, 44, 66, 41)(27, 42, 62, 39, 61, 43)(35, 53, 58, 37, 57, 54)(36, 55, 60, 38, 59, 56)(48, 72, 81, 74, 80, 67)(49, 65, 78, 71, 83, 73)(51, 75, 82, 69, 77, 68)(52, 76, 84, 70, 79, 64)
	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, 75)(54, 73)(55, 76)(56, 72)(57, 77)(58, 78)(59, 79)(60, 80)(61, 81)(62, 82)(63, 83)(66, 84)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 14 e = 42 f = 14
	degree seq :: [ 6^14 ]

E8.373 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ X1^2, X2^6, (X2^-1 * X1 * X2^-2)^2, (X2^-1 * X1)^6, X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 24)(14, 28)(15, 29)(16, 31)(18, 25)(19, 35)(20, 36)(22, 37)(23, 39)(26, 43)(27, 44)(30, 47)(32, 50)(33, 51)(34, 52)(38, 59)(40, 62)(41, 63)(42, 64)(45, 68)(46, 60)(48, 58)(49, 66)(53, 65)(54, 61)(55, 67)(56, 57)(69, 79)(70, 84)(71, 77)(72, 82)(73, 81)(74, 80)(75, 83)(76, 78)(85, 87, 92, 102, 94, 88)(86, 89, 96, 109, 98, 90)(91, 99, 114, 105, 116, 100)(93, 103, 118, 101, 117, 104)(95, 106, 122, 112, 124, 107)(97, 110, 126, 108, 125, 111)(113, 129, 153, 134, 154, 130)(115, 132, 156, 131, 155, 133)(119, 137, 158, 135, 157, 138)(120, 139, 160, 136, 159, 140)(121, 141, 161, 146, 162, 142)(123, 144, 164, 143, 163, 145)(127, 149, 166, 147, 165, 150)(128, 151, 168, 148, 167, 152)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 84 f = 14
	degree seq :: [ 2^42, 6^14 ]

E8.374 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ X1^2, X2^6, X2 * X1 * X2^-2 * X1 * X2 * X1 * X2^-1 * X1 * X2, (X2 * X1 * X2^2 * X1)^2, X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1, X2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^3 * X1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 24)(14, 28)(15, 29)(16, 31)(18, 35)(19, 36)(20, 38)(22, 42)(23, 44)(25, 48)(26, 49)(27, 51)(30, 54)(32, 59)(33, 52)(34, 61)(37, 50)(39, 46)(40, 53)(41, 43)(45, 73)(47, 75)(55, 69)(56, 78)(57, 71)(58, 80)(60, 76)(62, 74)(63, 77)(64, 70)(65, 82)(66, 72)(67, 83)(68, 79)(81, 84)(85, 87, 92, 102, 94, 88)(86, 89, 96, 109, 98, 90)(91, 99, 114, 141, 116, 100)(93, 103, 121, 149, 123, 104)(95, 106, 127, 155, 129, 107)(97, 110, 134, 163, 136, 111)(101, 117, 144, 156, 128, 118)(105, 124, 151, 159, 152, 125)(108, 130, 158, 142, 115, 131)(112, 137, 165, 145, 166, 138)(113, 139, 122, 150, 167, 140)(119, 146, 157, 133, 162, 147)(120, 148, 161, 132, 160, 143)(126, 153, 135, 164, 168, 154)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 84 f = 14
	degree seq :: [ 2^42, 6^14 ]

E8.375 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ (X2 * X1)^2, (X2^-1 * X1 * X2^-1)^2, X1^6, X2^6, X2^2 * X1 * X2^-3 * X1^-1 * X2, X1^-1 * X2^-1 * X1^2 * X2 * X1^-2 * X2^-2 * X1^-1, X2^3 * X1^2 * X2^-3 * X1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 16, 13, 4)(3, 9, 23, 47, 28, 11)(5, 14, 33, 44, 20, 7)(8, 21, 45, 71, 38, 17)(10, 25, 52, 80, 46, 22)(12, 29, 57, 82, 60, 31)(15, 30, 59, 79, 63, 34)(18, 39, 72, 53, 65, 35)(19, 41, 74, 49, 73, 40)(24, 50, 78, 62, 70, 48)(26, 42, 69, 83, 81, 51)(27, 54, 67, 37, 68, 55)(32, 36, 66, 84, 75, 61)(43, 76, 58, 64, 56, 77)(85, 87, 94, 110, 99, 89)(86, 91, 103, 126, 106, 92)(88, 96, 114, 135, 108, 93)(90, 101, 121, 153, 124, 102)(95, 111, 98, 118, 137, 109)(97, 116, 134, 165, 142, 113)(100, 119, 148, 167, 151, 120)(104, 127, 105, 130, 159, 125)(107, 132, 155, 143, 115, 133)(112, 140, 149, 147, 150, 138)(117, 139, 166, 136, 156, 146)(122, 154, 123, 157, 144, 152)(128, 162, 145, 164, 141, 160)(129, 161, 131, 158, 168, 163)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 84 f = 42
	degree seq :: [ 6^28 ]

E8.376 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ X1^2, X2^6, (X2^-1 * X1 * X2^-2)^2, (X2^-1 * X1)^6, X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86)(3, 87, 7, 91)(4, 88, 9, 93)(5, 89, 11, 95)(6, 90, 13, 97)(8, 92, 17, 101)(10, 94, 21, 105)(12, 96, 24, 108)(14, 98, 28, 112)(15, 99, 29, 113)(16, 100, 31, 115)(18, 102, 25, 109)(19, 103, 35, 119)(20, 104, 36, 120)(22, 106, 37, 121)(23, 107, 39, 123)(26, 110, 43, 127)(27, 111, 44, 128)(30, 114, 47, 131)(32, 116, 50, 134)(33, 117, 51, 135)(34, 118, 52, 136)(38, 122, 59, 143)(40, 124, 62, 146)(41, 125, 63, 147)(42, 126, 64, 148)(45, 129, 68, 152)(46, 130, 60, 144)(48, 132, 58, 142)(49, 133, 66, 150)(53, 137, 65, 149)(54, 138, 61, 145)(55, 139, 67, 151)(56, 140, 57, 141)(69, 153, 79, 163)(70, 154, 84, 168)(71, 155, 77, 161)(72, 156, 82, 166)(73, 157, 81, 165)(74, 158, 80, 164)(75, 159, 83, 167)(76, 160, 78, 162)
	L = (1, 87)(2, 89)(3, 92)(4, 85)(5, 96)(6, 86)(7, 99)(8, 102)(9, 103)(10, 88)(11, 106)(12, 109)(13, 110)(14, 90)(15, 114)(16, 91)(17, 117)(18, 94)(19, 118)(20, 93)(21, 116)(22, 122)(23, 95)(24, 125)(25, 98)(26, 126)(27, 97)(28, 124)(29, 129)(30, 105)(31, 132)(32, 100)(33, 104)(34, 101)(35, 137)(36, 139)(37, 141)(38, 112)(39, 144)(40, 107)(41, 111)(42, 108)(43, 149)(44, 151)(45, 153)(46, 113)(47, 155)(48, 156)(49, 115)(50, 154)(51, 157)(52, 159)(53, 158)(54, 119)(55, 160)(56, 120)(57, 161)(58, 121)(59, 163)(60, 164)(61, 123)(62, 162)(63, 165)(64, 167)(65, 166)(66, 127)(67, 168)(68, 128)(69, 134)(70, 130)(71, 133)(72, 131)(73, 138)(74, 135)(75, 140)(76, 136)(77, 146)(78, 142)(79, 145)(80, 143)(81, 150)(82, 147)(83, 152)(84, 148)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 42 e = 84 f = 28
	degree seq :: [ 4^42 ]

E8.377 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ (X2 * X1)^2, (X2^-1 * X1 * X2^-1)^2, X1^6, X2^6, X2^2 * X1 * X2^-3 * X1^-1 * X2, X1^-1 * X2^-1 * X1^2 * X2 * X1^-2 * X2^-2 * X1^-1, X2^3 * X1^2 * X2^-3 * X1^-2 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 16, 100, 13, 97, 4, 88)(3, 87, 9, 93, 23, 107, 47, 131, 28, 112, 11, 95)(5, 89, 14, 98, 33, 117, 44, 128, 20, 104, 7, 91)(8, 92, 21, 105, 45, 129, 71, 155, 38, 122, 17, 101)(10, 94, 25, 109, 52, 136, 80, 164, 46, 130, 22, 106)(12, 96, 29, 113, 57, 141, 82, 166, 60, 144, 31, 115)(15, 99, 30, 114, 59, 143, 79, 163, 63, 147, 34, 118)(18, 102, 39, 123, 72, 156, 53, 137, 65, 149, 35, 119)(19, 103, 41, 125, 74, 158, 49, 133, 73, 157, 40, 124)(24, 108, 50, 134, 78, 162, 62, 146, 70, 154, 48, 132)(26, 110, 42, 126, 69, 153, 83, 167, 81, 165, 51, 135)(27, 111, 54, 138, 67, 151, 37, 121, 68, 152, 55, 139)(32, 116, 36, 120, 66, 150, 84, 168, 75, 159, 61, 145)(43, 127, 76, 160, 58, 142, 64, 148, 56, 140, 77, 161)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 101)(7, 103)(8, 86)(9, 88)(10, 110)(11, 111)(12, 114)(13, 116)(14, 118)(15, 89)(16, 119)(17, 121)(18, 90)(19, 126)(20, 127)(21, 130)(22, 92)(23, 132)(24, 93)(25, 95)(26, 99)(27, 98)(28, 140)(29, 97)(30, 135)(31, 133)(32, 134)(33, 139)(34, 137)(35, 148)(36, 100)(37, 153)(38, 154)(39, 157)(40, 102)(41, 104)(42, 106)(43, 105)(44, 162)(45, 161)(46, 159)(47, 158)(48, 155)(49, 107)(50, 165)(51, 108)(52, 156)(53, 109)(54, 112)(55, 166)(56, 149)(57, 160)(58, 113)(59, 115)(60, 152)(61, 164)(62, 117)(63, 150)(64, 167)(65, 147)(66, 138)(67, 120)(68, 122)(69, 124)(70, 123)(71, 143)(72, 146)(73, 144)(74, 168)(75, 125)(76, 128)(77, 131)(78, 145)(79, 129)(80, 141)(81, 142)(82, 136)(83, 151)(84, 163)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 14 e = 84 f = 56
	degree seq :: [ 12^14 ]

E8.378 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X2^6, (X1 * X2^-1 * X1)^2, X1^6, X1^-2 * X2^-1 * X1^3 * X2 * X1^-1, X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^3 * X1^-1, X1^-1 * X2^-2 * X1 * X2^2 * X1^-1 * X2^-2 * X1^-1 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 16, 100, 13, 97, 4, 88)(3, 87, 9, 93, 23, 107, 35, 119, 18, 102, 11, 95)(5, 89, 14, 98, 31, 115, 36, 120, 20, 104, 7, 91)(8, 92, 21, 105, 12, 96, 29, 113, 38, 122, 17, 101)(10, 94, 25, 109, 51, 135, 64, 148, 48, 132, 27, 111)(15, 99, 34, 118, 43, 127, 65, 149, 61, 145, 32, 116)(19, 103, 40, 124, 71, 155, 59, 143, 33, 117, 42, 126)(22, 106, 46, 130, 69, 153, 57, 141, 78, 162, 44, 128)(24, 108, 49, 133, 28, 112, 39, 123, 70, 154, 47, 131)(26, 110, 53, 137, 79, 163, 83, 167, 81, 165, 54, 138)(30, 114, 45, 129, 68, 152, 37, 121, 66, 150, 58, 142)(41, 125, 73, 157, 52, 136, 82, 166, 55, 139, 74, 158)(50, 134, 75, 159, 62, 146, 67, 151, 84, 168, 72, 156)(56, 140, 76, 160, 63, 147, 80, 164, 60, 144, 77, 161)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 101)(7, 103)(8, 86)(9, 88)(10, 110)(11, 112)(12, 114)(13, 115)(14, 116)(15, 89)(16, 119)(17, 121)(18, 90)(19, 125)(20, 127)(21, 128)(22, 92)(23, 131)(24, 93)(25, 95)(26, 99)(27, 139)(28, 140)(29, 97)(30, 134)(31, 143)(32, 144)(33, 98)(34, 138)(35, 148)(36, 100)(37, 151)(38, 153)(39, 102)(40, 104)(41, 106)(42, 159)(43, 160)(44, 161)(45, 105)(46, 158)(47, 164)(48, 107)(49, 156)(50, 108)(51, 157)(52, 109)(53, 111)(54, 150)(55, 155)(56, 162)(57, 113)(58, 165)(59, 166)(60, 154)(61, 163)(62, 117)(63, 118)(64, 167)(65, 120)(66, 122)(67, 123)(68, 137)(69, 147)(70, 146)(71, 168)(72, 124)(73, 126)(74, 132)(75, 142)(76, 133)(77, 145)(78, 136)(79, 129)(80, 130)(81, 135)(82, 141)(83, 149)(84, 152)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 14 e = 84 f = 56
	degree seq :: [ 12^14 ]

E8.379 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T1^-1 * T2^-1)^3, (T2^-2 * T1^-1 * T2 * T1^-1)^2, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, (T2^-1, T1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 41, 21)(10, 24, 49, 25)(13, 30, 59, 31)(14, 32, 33, 15)(17, 36, 72, 37)(18, 38, 75, 39)(19, 40, 52, 26)(22, 44, 86, 45)(23, 46, 90, 47)(28, 55, 87, 56)(29, 57, 106, 58)(34, 67, 118, 68)(35, 69, 120, 70)(42, 83, 64, 84)(43, 85, 91, 48)(50, 93, 61, 94)(51, 95, 146, 96)(53, 99, 136, 100)(54, 101, 149, 102)(60, 111, 156, 112)(62, 113, 114, 63)(65, 115, 80, 116)(66, 117, 121, 71)(73, 123, 77, 124)(74, 125, 135, 126)(76, 127, 165, 128)(78, 129, 130, 79)(81, 109, 155, 131)(82, 132, 97, 133)(88, 138, 139, 89)(92, 142, 160, 119)(98, 147, 150, 103)(104, 151, 108, 152)(105, 137, 159, 140)(107, 153, 134, 154)(110, 122, 161, 145)(141, 157, 167, 143)(144, 162, 148, 158)(163, 168, 164, 166)(169, 170, 172)(171, 176, 178)(173, 181, 182)(174, 183, 185)(175, 186, 187)(177, 190, 191)(179, 194, 196)(180, 197, 188)(184, 202, 203)(189, 210, 211)(192, 216, 218)(193, 219, 212)(195, 221, 222)(198, 215, 228)(199, 229, 230)(200, 231, 232)(201, 233, 234)(204, 239, 241)(205, 242, 235)(206, 238, 244)(207, 245, 246)(208, 247, 248)(209, 249, 250)(213, 255, 256)(214, 257, 243)(217, 260, 236)(220, 265, 266)(223, 271, 272)(224, 273, 267)(225, 270, 275)(226, 276, 277)(227, 269, 278)(237, 287, 274)(240, 290, 268)(251, 301, 283)(252, 302, 303)(253, 293, 304)(254, 285, 305)(258, 296, 299)(259, 308, 309)(261, 311, 312)(262, 313, 310)(263, 286, 315)(264, 316, 289)(279, 323, 325)(280, 298, 317)(281, 326, 295)(282, 288, 322)(284, 324, 327)(291, 330, 331)(292, 307, 329)(294, 332, 318)(297, 334, 321)(300, 333, 314)(306, 320, 328)(319, 336, 335)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E8.381
Transitivity :: ET+
Graph:: simple bipartite
	v = 98 e = 168 f = 56
	degree seq :: [ 3^56, 4^42 ]

E8.380 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = C2 x PSL(3,2) (small group id <336, 209>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1^-1)^3, (T2 * T1^-1)^4, (T1 * T2^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 41, 21)(10, 24, 49, 25)(13, 30, 58, 31)(14, 32, 33, 15)(17, 36, 70, 37)(18, 38, 72, 39)(19, 40, 51, 26)(22, 44, 81, 45)(23, 46, 85, 47)(28, 54, 96, 55)(29, 56, 98, 57)(34, 65, 107, 66)(35, 67, 111, 68)(42, 78, 121, 79)(43, 80, 74, 48)(50, 88, 133, 89)(52, 92, 136, 93)(53, 94, 125, 95)(59, 71, 114, 101)(60, 91, 102, 61)(62, 82, 127, 103)(63, 104, 147, 105)(64, 106, 76, 69)(73, 97, 141, 117)(75, 108, 150, 118)(77, 119, 155, 120)(83, 128, 123, 84)(86, 116, 154, 130)(87, 131, 99, 132)(90, 134, 161, 135)(100, 144, 163, 139)(109, 124, 148, 110)(112, 143, 159, 152)(113, 122, 115, 153)(126, 157, 167, 158)(129, 156, 166, 160)(137, 149, 145, 138)(140, 146, 142, 162)(151, 164, 168, 165)(169, 170, 172)(171, 176, 178)(173, 181, 182)(174, 183, 185)(175, 186, 187)(177, 190, 191)(179, 194, 196)(180, 197, 188)(184, 202, 203)(189, 210, 211)(192, 216, 207)(193, 218, 212)(195, 220, 221)(198, 215, 227)(199, 222, 228)(200, 229, 230)(201, 231, 232)(204, 237, 225)(205, 239, 233)(206, 236, 241)(208, 242, 243)(209, 244, 245)(213, 250, 251)(214, 252, 247)(217, 254, 255)(219, 258, 259)(223, 265, 260)(224, 263, 257)(226, 267, 268)(234, 276, 277)(235, 278, 273)(238, 280, 281)(240, 283, 284)(246, 288, 290)(248, 291, 292)(249, 293, 294)(253, 297, 275)(256, 300, 269)(261, 287, 305)(262, 306, 303)(264, 307, 308)(266, 310, 311)(270, 313, 296)(271, 314, 272)(274, 316, 317)(279, 319, 304)(282, 321, 285)(286, 299, 302)(289, 320, 324)(295, 326, 327)(298, 325, 329)(301, 309, 330)(312, 318, 328)(315, 331, 332)(322, 323, 333)(334, 335, 336)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E8.382
Transitivity :: ET+
Graph:: simple bipartite
	v = 98 e = 168 f = 56
	degree seq :: [ 3^56, 4^42 ]

E8.381 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^4, (T2^-1, T1^-1)^3, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, (T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 169, 3, 171, 5, 173)(2, 170, 6, 174, 7, 175)(4, 172, 10, 178, 11, 179)(8, 176, 18, 186, 19, 187)(9, 177, 20, 188, 21, 189)(12, 180, 26, 194, 27, 195)(13, 181, 28, 196, 29, 197)(14, 182, 30, 198, 31, 199)(15, 183, 32, 200, 33, 201)(16, 184, 34, 202, 35, 203)(17, 185, 36, 204, 37, 205)(22, 190, 46, 214, 47, 215)(23, 191, 48, 216, 49, 217)(24, 192, 50, 218, 51, 219)(25, 193, 52, 220, 38, 206)(39, 207, 73, 241, 74, 242)(40, 208, 75, 243, 76, 244)(41, 209, 77, 245, 78, 246)(42, 210, 79, 247, 80, 248)(43, 211, 81, 249, 82, 250)(44, 212, 83, 251, 84, 252)(45, 213, 85, 253, 53, 221)(54, 222, 98, 266, 99, 267)(55, 223, 100, 268, 101, 269)(56, 224, 102, 270, 103, 271)(57, 225, 104, 272, 105, 273)(58, 226, 106, 274, 107, 275)(59, 227, 108, 276, 109, 277)(60, 228, 110, 278, 111, 279)(61, 229, 112, 280, 113, 281)(62, 230, 114, 282, 115, 283)(63, 231, 116, 284, 117, 285)(64, 232, 118, 286, 119, 287)(65, 233, 120, 288, 66, 234)(67, 235, 121, 289, 122, 290)(68, 236, 123, 291, 124, 292)(69, 237, 125, 293, 126, 294)(70, 238, 127, 295, 128, 296)(71, 239, 129, 297, 130, 298)(72, 240, 131, 299, 132, 300)(86, 254, 136, 304, 146, 314)(87, 255, 142, 310, 147, 315)(88, 256, 148, 316, 149, 317)(89, 257, 150, 318, 134, 302)(90, 258, 133, 301, 151, 319)(91, 259, 145, 313, 92, 260)(93, 261, 144, 312, 152, 320)(94, 262, 153, 321, 139, 307)(95, 263, 138, 306, 154, 322)(96, 264, 155, 323, 156, 324)(97, 265, 157, 325, 158, 326)(135, 303, 168, 336, 159, 327)(137, 305, 162, 330, 167, 335)(140, 308, 166, 334, 161, 329)(141, 309, 160, 328, 165, 333)(143, 311, 164, 332, 163, 331)
	L = (1, 170)(2, 172)(3, 176)(4, 169)(5, 180)(6, 182)(7, 184)(8, 177)(9, 171)(10, 190)(11, 192)(12, 181)(13, 173)(14, 183)(15, 174)(16, 185)(17, 175)(18, 206)(19, 208)(20, 210)(21, 212)(22, 191)(23, 178)(24, 193)(25, 179)(26, 221)(27, 223)(28, 225)(29, 227)(30, 197)(31, 228)(32, 230)(33, 232)(34, 234)(35, 236)(36, 238)(37, 240)(38, 207)(39, 186)(40, 209)(41, 187)(42, 211)(43, 188)(44, 213)(45, 189)(46, 205)(47, 254)(48, 256)(49, 258)(50, 260)(51, 262)(52, 264)(53, 222)(54, 194)(55, 224)(56, 195)(57, 226)(58, 196)(59, 198)(60, 229)(61, 199)(62, 231)(63, 200)(64, 233)(65, 201)(66, 235)(67, 202)(68, 237)(69, 203)(70, 239)(71, 204)(72, 214)(73, 295)(74, 282)(75, 280)(76, 302)(77, 286)(78, 300)(79, 246)(80, 305)(81, 307)(82, 309)(83, 278)(84, 311)(85, 313)(86, 255)(87, 215)(88, 257)(89, 216)(90, 259)(91, 217)(92, 261)(93, 218)(94, 263)(95, 219)(96, 265)(97, 220)(98, 287)(99, 296)(100, 325)(101, 329)(102, 283)(103, 299)(104, 271)(105, 298)(106, 331)(107, 290)(108, 323)(109, 316)(110, 310)(111, 250)(112, 301)(113, 242)(114, 281)(115, 330)(116, 269)(117, 332)(118, 304)(119, 327)(120, 253)(121, 319)(122, 324)(123, 274)(124, 334)(125, 317)(126, 241)(127, 294)(128, 326)(129, 336)(130, 320)(131, 272)(132, 247)(133, 243)(134, 303)(135, 244)(136, 245)(137, 306)(138, 248)(139, 308)(140, 249)(141, 279)(142, 251)(143, 312)(144, 252)(145, 288)(146, 285)(147, 277)(148, 315)(149, 335)(150, 292)(151, 333)(152, 273)(153, 297)(154, 276)(155, 322)(156, 275)(157, 328)(158, 267)(159, 266)(160, 268)(161, 284)(162, 270)(163, 291)(164, 314)(165, 289)(166, 318)(167, 293)(168, 321)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.379
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 56 e = 168 f = 98
	degree seq :: [ 6^56 ]

E8.382 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = C2 x PSL(3,2) (small group id <336, 209>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^4, (T2^-1 * T1^-1)^4, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 169, 3, 171, 5, 173)(2, 170, 6, 174, 7, 175)(4, 172, 10, 178, 11, 179)(8, 176, 18, 186, 19, 187)(9, 177, 20, 188, 21, 189)(12, 180, 26, 194, 27, 195)(13, 181, 28, 196, 29, 197)(14, 182, 30, 198, 31, 199)(15, 183, 32, 200, 33, 201)(16, 184, 34, 202, 35, 203)(17, 185, 36, 204, 37, 205)(22, 190, 45, 213, 46, 214)(23, 191, 47, 215, 48, 216)(24, 192, 49, 217, 50, 218)(25, 193, 51, 219, 38, 206)(39, 207, 68, 236, 69, 237)(40, 208, 70, 238, 56, 224)(41, 209, 71, 239, 72, 240)(42, 210, 73, 241, 74, 242)(43, 211, 75, 243, 76, 244)(44, 212, 77, 245, 52, 220)(53, 221, 86, 254, 87, 255)(54, 222, 88, 256, 89, 257)(55, 223, 90, 258, 91, 259)(57, 225, 92, 260, 93, 261)(58, 226, 94, 262, 66, 234)(59, 227, 95, 263, 96, 264)(60, 228, 97, 265, 98, 266)(61, 229, 99, 267, 100, 268)(62, 230, 101, 269, 63, 231)(64, 232, 102, 270, 103, 271)(65, 233, 104, 272, 105, 273)(67, 235, 106, 274, 107, 275)(78, 246, 120, 288, 85, 253)(79, 247, 121, 289, 122, 290)(80, 248, 123, 291, 124, 292)(81, 249, 125, 293, 82, 250)(83, 251, 109, 277, 126, 294)(84, 252, 127, 295, 114, 282)(108, 276, 144, 312, 145, 313)(110, 278, 146, 314, 111, 279)(112, 280, 147, 315, 133, 301)(113, 281, 132, 300, 142, 310)(115, 283, 139, 307, 148, 316)(116, 284, 149, 317, 119, 287)(117, 285, 129, 297, 138, 306)(118, 286, 150, 318, 130, 298)(128, 296, 154, 322, 134, 302)(131, 299, 155, 323, 153, 321)(135, 303, 156, 324, 143, 311)(136, 304, 152, 320, 157, 325)(137, 305, 158, 326, 140, 308)(141, 309, 159, 327, 151, 319)(160, 328, 166, 334, 161, 329)(162, 330, 167, 335, 163, 331)(164, 332, 168, 336, 165, 333)
	L = (1, 170)(2, 172)(3, 176)(4, 169)(5, 180)(6, 182)(7, 184)(8, 177)(9, 171)(10, 190)(11, 192)(12, 181)(13, 173)(14, 183)(15, 174)(16, 185)(17, 175)(18, 206)(19, 208)(20, 210)(21, 211)(22, 191)(23, 178)(24, 193)(25, 179)(26, 220)(27, 215)(28, 223)(29, 225)(30, 197)(31, 226)(32, 228)(33, 229)(34, 231)(35, 188)(36, 233)(37, 235)(38, 207)(39, 186)(40, 209)(41, 187)(42, 203)(43, 212)(44, 189)(45, 205)(46, 246)(47, 222)(48, 248)(49, 250)(50, 200)(51, 252)(52, 221)(53, 194)(54, 195)(55, 224)(56, 196)(57, 198)(58, 227)(59, 199)(60, 218)(61, 230)(62, 201)(63, 232)(64, 202)(65, 234)(66, 204)(67, 213)(68, 276)(69, 277)(70, 279)(71, 281)(72, 283)(73, 240)(74, 284)(75, 271)(76, 236)(77, 286)(78, 247)(79, 214)(80, 249)(81, 216)(82, 251)(83, 217)(84, 253)(85, 219)(86, 296)(87, 297)(88, 290)(89, 299)(90, 257)(91, 263)(92, 301)(93, 254)(94, 302)(95, 300)(96, 304)(97, 264)(98, 305)(99, 294)(100, 260)(101, 307)(102, 309)(103, 285)(104, 242)(105, 289)(106, 311)(107, 270)(108, 244)(109, 278)(110, 237)(111, 280)(112, 238)(113, 282)(114, 239)(115, 241)(116, 272)(117, 243)(118, 287)(119, 245)(120, 319)(121, 310)(122, 298)(123, 255)(124, 274)(125, 320)(126, 306)(127, 266)(128, 261)(129, 291)(130, 256)(131, 258)(132, 259)(133, 268)(134, 303)(135, 262)(136, 265)(137, 295)(138, 267)(139, 308)(140, 269)(141, 275)(142, 273)(143, 292)(144, 288)(145, 328)(146, 323)(147, 330)(148, 315)(149, 331)(150, 313)(151, 312)(152, 321)(153, 293)(154, 317)(155, 329)(156, 332)(157, 324)(158, 333)(159, 326)(160, 318)(161, 314)(162, 316)(163, 322)(164, 325)(165, 327)(166, 336)(167, 334)(168, 335)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.380
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 56 e = 168 f = 98
	degree seq :: [ 6^56 ]

E8.383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y1^-1 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, (Y2^-2 * Y1^-1 * Y2 * Y1^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y2^-1, Y1^-1)^3 ]
Map::
	R = (1, 169, 2, 170, 4, 172)(3, 171, 8, 176, 10, 178)(5, 173, 13, 181, 14, 182)(6, 174, 15, 183, 17, 185)(7, 175, 18, 186, 19, 187)(9, 177, 22, 190, 23, 191)(11, 179, 26, 194, 28, 196)(12, 180, 29, 197, 20, 188)(16, 184, 34, 202, 35, 203)(21, 189, 42, 210, 43, 211)(24, 192, 48, 216, 50, 218)(25, 193, 51, 219, 44, 212)(27, 195, 53, 221, 54, 222)(30, 198, 47, 215, 60, 228)(31, 199, 61, 229, 62, 230)(32, 200, 63, 231, 64, 232)(33, 201, 65, 233, 66, 234)(36, 204, 71, 239, 73, 241)(37, 205, 74, 242, 67, 235)(38, 206, 70, 238, 76, 244)(39, 207, 77, 245, 78, 246)(40, 208, 79, 247, 80, 248)(41, 209, 81, 249, 82, 250)(45, 213, 87, 255, 88, 256)(46, 214, 89, 257, 75, 243)(49, 217, 92, 260, 68, 236)(52, 220, 97, 265, 98, 266)(55, 223, 103, 271, 104, 272)(56, 224, 105, 273, 99, 267)(57, 225, 102, 270, 107, 275)(58, 226, 108, 276, 109, 277)(59, 227, 101, 269, 110, 278)(69, 237, 119, 287, 106, 274)(72, 240, 122, 290, 100, 268)(83, 251, 133, 301, 115, 283)(84, 252, 134, 302, 135, 303)(85, 253, 125, 293, 136, 304)(86, 254, 117, 285, 137, 305)(90, 258, 128, 296, 131, 299)(91, 259, 140, 308, 141, 309)(93, 261, 143, 311, 144, 312)(94, 262, 145, 313, 142, 310)(95, 263, 118, 286, 147, 315)(96, 264, 148, 316, 121, 289)(111, 279, 155, 323, 157, 325)(112, 280, 130, 298, 149, 317)(113, 281, 158, 326, 127, 295)(114, 282, 120, 288, 154, 322)(116, 284, 156, 324, 159, 327)(123, 291, 162, 330, 163, 331)(124, 292, 139, 307, 161, 329)(126, 294, 164, 332, 150, 318)(129, 297, 166, 334, 153, 321)(132, 300, 165, 333, 146, 314)(138, 306, 152, 320, 160, 328)(151, 319, 168, 336, 167, 335)(337, 505, 339, 507, 345, 513, 341, 509)(338, 506, 342, 510, 352, 520, 343, 511)(340, 508, 347, 515, 363, 531, 348, 516)(344, 512, 356, 524, 377, 545, 357, 525)(346, 514, 360, 528, 385, 553, 361, 529)(349, 517, 366, 534, 395, 563, 367, 535)(350, 518, 368, 536, 369, 537, 351, 519)(353, 521, 372, 540, 408, 576, 373, 541)(354, 522, 374, 542, 411, 579, 375, 543)(355, 523, 376, 544, 388, 556, 362, 530)(358, 526, 380, 548, 422, 590, 381, 549)(359, 527, 382, 550, 426, 594, 383, 551)(364, 532, 391, 559, 423, 591, 392, 560)(365, 533, 393, 561, 442, 610, 394, 562)(370, 538, 403, 571, 454, 622, 404, 572)(371, 539, 405, 573, 456, 624, 406, 574)(378, 546, 419, 587, 400, 568, 420, 588)(379, 547, 421, 589, 427, 595, 384, 552)(386, 554, 429, 597, 397, 565, 430, 598)(387, 555, 431, 599, 482, 650, 432, 600)(389, 557, 435, 603, 472, 640, 436, 604)(390, 558, 437, 605, 485, 653, 438, 606)(396, 564, 447, 615, 492, 660, 448, 616)(398, 566, 449, 617, 450, 618, 399, 567)(401, 569, 451, 619, 416, 584, 452, 620)(402, 570, 453, 621, 457, 625, 407, 575)(409, 577, 459, 627, 413, 581, 460, 628)(410, 578, 461, 629, 471, 639, 462, 630)(412, 580, 463, 631, 501, 669, 464, 632)(414, 582, 465, 633, 466, 634, 415, 583)(417, 585, 445, 613, 491, 659, 467, 635)(418, 586, 468, 636, 433, 601, 469, 637)(424, 592, 474, 642, 475, 643, 425, 593)(428, 596, 478, 646, 496, 664, 455, 623)(434, 602, 483, 651, 486, 654, 439, 607)(440, 608, 487, 655, 444, 612, 488, 656)(441, 609, 473, 641, 495, 663, 476, 644)(443, 611, 489, 657, 470, 638, 490, 658)(446, 614, 458, 626, 497, 665, 481, 649)(477, 645, 493, 661, 503, 671, 479, 647)(480, 648, 498, 666, 484, 652, 494, 662)(499, 667, 504, 672, 500, 668, 502, 670)
	L = (1, 339)(2, 342)(3, 345)(4, 347)(5, 337)(6, 352)(7, 338)(8, 356)(9, 341)(10, 360)(11, 363)(12, 340)(13, 366)(14, 368)(15, 350)(16, 343)(17, 372)(18, 374)(19, 376)(20, 377)(21, 344)(22, 380)(23, 382)(24, 385)(25, 346)(26, 355)(27, 348)(28, 391)(29, 393)(30, 395)(31, 349)(32, 369)(33, 351)(34, 403)(35, 405)(36, 408)(37, 353)(38, 411)(39, 354)(40, 388)(41, 357)(42, 419)(43, 421)(44, 422)(45, 358)(46, 426)(47, 359)(48, 379)(49, 361)(50, 429)(51, 431)(52, 362)(53, 435)(54, 437)(55, 423)(56, 364)(57, 442)(58, 365)(59, 367)(60, 447)(61, 430)(62, 449)(63, 398)(64, 420)(65, 451)(66, 453)(67, 454)(68, 370)(69, 456)(70, 371)(71, 402)(72, 373)(73, 459)(74, 461)(75, 375)(76, 463)(77, 460)(78, 465)(79, 414)(80, 452)(81, 445)(82, 468)(83, 400)(84, 378)(85, 427)(86, 381)(87, 392)(88, 474)(89, 424)(90, 383)(91, 384)(92, 478)(93, 397)(94, 386)(95, 482)(96, 387)(97, 469)(98, 483)(99, 472)(100, 389)(101, 485)(102, 390)(103, 434)(104, 487)(105, 473)(106, 394)(107, 489)(108, 488)(109, 491)(110, 458)(111, 492)(112, 396)(113, 450)(114, 399)(115, 416)(116, 401)(117, 457)(118, 404)(119, 428)(120, 406)(121, 407)(122, 497)(123, 413)(124, 409)(125, 471)(126, 410)(127, 501)(128, 412)(129, 466)(130, 415)(131, 417)(132, 433)(133, 418)(134, 490)(135, 462)(136, 436)(137, 495)(138, 475)(139, 425)(140, 441)(141, 493)(142, 496)(143, 477)(144, 498)(145, 446)(146, 432)(147, 486)(148, 494)(149, 438)(150, 439)(151, 444)(152, 440)(153, 470)(154, 443)(155, 467)(156, 448)(157, 503)(158, 480)(159, 476)(160, 455)(161, 481)(162, 484)(163, 504)(164, 502)(165, 464)(166, 499)(167, 479)(168, 500)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.385
Graph:: bipartite
	v = 98 e = 336 f = 224
	degree seq :: [ 6^56, 8^42 ]

E8.384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = C2 x PSL(3,2) (small group id <336, 209>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, (Y2 * Y1^-1)^4, (Y2 * Y1^-1)^4 ]
Map::
	R = (1, 169, 2, 170, 4, 172)(3, 171, 8, 176, 10, 178)(5, 173, 13, 181, 14, 182)(6, 174, 15, 183, 17, 185)(7, 175, 18, 186, 19, 187)(9, 177, 22, 190, 23, 191)(11, 179, 26, 194, 28, 196)(12, 180, 29, 197, 20, 188)(16, 184, 34, 202, 35, 203)(21, 189, 42, 210, 43, 211)(24, 192, 48, 216, 39, 207)(25, 193, 50, 218, 44, 212)(27, 195, 52, 220, 53, 221)(30, 198, 47, 215, 59, 227)(31, 199, 54, 222, 60, 228)(32, 200, 61, 229, 62, 230)(33, 201, 63, 231, 64, 232)(36, 204, 69, 237, 57, 225)(37, 205, 71, 239, 65, 233)(38, 206, 68, 236, 73, 241)(40, 208, 74, 242, 75, 243)(41, 209, 76, 244, 77, 245)(45, 213, 82, 250, 83, 251)(46, 214, 84, 252, 79, 247)(49, 217, 86, 254, 87, 255)(51, 219, 90, 258, 91, 259)(55, 223, 97, 265, 92, 260)(56, 224, 95, 263, 89, 257)(58, 226, 99, 267, 100, 268)(66, 234, 108, 276, 109, 277)(67, 235, 110, 278, 105, 273)(70, 238, 112, 280, 113, 281)(72, 240, 115, 283, 116, 284)(78, 246, 120, 288, 122, 290)(80, 248, 123, 291, 124, 292)(81, 249, 125, 293, 126, 294)(85, 253, 129, 297, 107, 275)(88, 256, 132, 300, 101, 269)(93, 261, 119, 287, 137, 305)(94, 262, 138, 306, 135, 303)(96, 264, 139, 307, 140, 308)(98, 266, 142, 310, 143, 311)(102, 270, 145, 313, 128, 296)(103, 271, 146, 314, 104, 272)(106, 274, 148, 316, 149, 317)(111, 279, 151, 319, 136, 304)(114, 282, 153, 321, 117, 285)(118, 286, 131, 299, 134, 302)(121, 289, 152, 320, 156, 324)(127, 295, 158, 326, 159, 327)(130, 298, 157, 325, 161, 329)(133, 301, 141, 309, 162, 330)(144, 312, 150, 318, 160, 328)(147, 315, 163, 331, 164, 332)(154, 322, 155, 323, 165, 333)(166, 334, 167, 335, 168, 336)(337, 505, 339, 507, 345, 513, 341, 509)(338, 506, 342, 510, 352, 520, 343, 511)(340, 508, 347, 515, 363, 531, 348, 516)(344, 512, 356, 524, 377, 545, 357, 525)(346, 514, 360, 528, 385, 553, 361, 529)(349, 517, 366, 534, 394, 562, 367, 535)(350, 518, 368, 536, 369, 537, 351, 519)(353, 521, 372, 540, 406, 574, 373, 541)(354, 522, 374, 542, 408, 576, 375, 543)(355, 523, 376, 544, 387, 555, 362, 530)(358, 526, 380, 548, 417, 585, 381, 549)(359, 527, 382, 550, 421, 589, 383, 551)(364, 532, 390, 558, 432, 600, 391, 559)(365, 533, 392, 560, 434, 602, 393, 561)(370, 538, 401, 569, 443, 611, 402, 570)(371, 539, 403, 571, 447, 615, 404, 572)(378, 546, 414, 582, 457, 625, 415, 583)(379, 547, 416, 584, 410, 578, 384, 552)(386, 554, 424, 592, 469, 637, 425, 593)(388, 556, 428, 596, 472, 640, 429, 597)(389, 557, 430, 598, 461, 629, 431, 599)(395, 563, 407, 575, 450, 618, 437, 605)(396, 564, 427, 595, 438, 606, 397, 565)(398, 566, 418, 586, 463, 631, 439, 607)(399, 567, 440, 608, 483, 651, 441, 609)(400, 568, 442, 610, 412, 580, 405, 573)(409, 577, 433, 601, 477, 645, 453, 621)(411, 579, 444, 612, 486, 654, 454, 622)(413, 581, 455, 623, 491, 659, 456, 624)(419, 587, 464, 632, 459, 627, 420, 588)(422, 590, 452, 620, 490, 658, 466, 634)(423, 591, 467, 635, 435, 603, 468, 636)(426, 594, 470, 638, 497, 665, 471, 639)(436, 604, 480, 648, 499, 667, 475, 643)(445, 613, 460, 628, 484, 652, 446, 614)(448, 616, 479, 647, 495, 663, 488, 656)(449, 617, 458, 626, 451, 619, 489, 657)(462, 630, 493, 661, 503, 671, 494, 662)(465, 633, 492, 660, 502, 670, 496, 664)(473, 641, 485, 653, 481, 649, 474, 642)(476, 644, 482, 650, 478, 646, 498, 666)(487, 655, 500, 668, 504, 672, 501, 669)
	L = (1, 339)(2, 342)(3, 345)(4, 347)(5, 337)(6, 352)(7, 338)(8, 356)(9, 341)(10, 360)(11, 363)(12, 340)(13, 366)(14, 368)(15, 350)(16, 343)(17, 372)(18, 374)(19, 376)(20, 377)(21, 344)(22, 380)(23, 382)(24, 385)(25, 346)(26, 355)(27, 348)(28, 390)(29, 392)(30, 394)(31, 349)(32, 369)(33, 351)(34, 401)(35, 403)(36, 406)(37, 353)(38, 408)(39, 354)(40, 387)(41, 357)(42, 414)(43, 416)(44, 417)(45, 358)(46, 421)(47, 359)(48, 379)(49, 361)(50, 424)(51, 362)(52, 428)(53, 430)(54, 432)(55, 364)(56, 434)(57, 365)(58, 367)(59, 407)(60, 427)(61, 396)(62, 418)(63, 440)(64, 442)(65, 443)(66, 370)(67, 447)(68, 371)(69, 400)(70, 373)(71, 450)(72, 375)(73, 433)(74, 384)(75, 444)(76, 405)(77, 455)(78, 457)(79, 378)(80, 410)(81, 381)(82, 463)(83, 464)(84, 419)(85, 383)(86, 452)(87, 467)(88, 469)(89, 386)(90, 470)(91, 438)(92, 472)(93, 388)(94, 461)(95, 389)(96, 391)(97, 477)(98, 393)(99, 468)(100, 480)(101, 395)(102, 397)(103, 398)(104, 483)(105, 399)(106, 412)(107, 402)(108, 486)(109, 460)(110, 445)(111, 404)(112, 479)(113, 458)(114, 437)(115, 489)(116, 490)(117, 409)(118, 411)(119, 491)(120, 413)(121, 415)(122, 451)(123, 420)(124, 484)(125, 431)(126, 493)(127, 439)(128, 459)(129, 492)(130, 422)(131, 435)(132, 423)(133, 425)(134, 497)(135, 426)(136, 429)(137, 485)(138, 473)(139, 436)(140, 482)(141, 453)(142, 498)(143, 495)(144, 499)(145, 474)(146, 478)(147, 441)(148, 446)(149, 481)(150, 454)(151, 500)(152, 448)(153, 449)(154, 466)(155, 456)(156, 502)(157, 503)(158, 462)(159, 488)(160, 465)(161, 471)(162, 476)(163, 475)(164, 504)(165, 487)(166, 496)(167, 494)(168, 501)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.386
Graph:: bipartite
	v = 98 e = 336 f = 224
	degree seq :: [ 6^56, 8^42 ]

E8.385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^4, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1, Y2^-1)^3, (Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal
	R = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)(337, 505, 338, 506, 340, 508)(339, 507, 344, 512, 346, 514)(341, 509, 349, 517, 350, 518)(342, 510, 351, 519, 353, 521)(343, 511, 354, 522, 355, 523)(345, 513, 358, 526, 359, 527)(347, 515, 361, 529, 363, 531)(348, 516, 364, 532, 365, 533)(352, 520, 371, 539, 372, 540)(356, 524, 377, 545, 379, 547)(357, 525, 380, 548, 381, 549)(360, 528, 385, 553, 386, 554)(362, 530, 389, 557, 390, 558)(366, 534, 395, 563, 396, 564)(367, 535, 397, 565, 383, 551)(368, 536, 399, 567, 400, 568)(369, 537, 401, 569, 403, 571)(370, 538, 404, 572, 405, 573)(373, 541, 409, 577, 410, 578)(374, 542, 411, 579, 412, 580)(375, 543, 413, 581, 407, 575)(376, 544, 415, 583, 416, 584)(378, 546, 419, 587, 420, 588)(382, 550, 425, 593, 427, 595)(384, 552, 428, 596, 402, 570)(387, 555, 432, 600, 434, 602)(388, 556, 435, 603, 436, 604)(391, 559, 439, 607, 440, 608)(392, 560, 441, 609, 442, 610)(393, 561, 443, 611, 438, 606)(394, 562, 444, 612, 445, 613)(398, 566, 449, 617, 406, 574)(408, 576, 458, 626, 433, 601)(414, 582, 465, 633, 437, 605)(417, 585, 467, 635, 468, 636)(418, 586, 469, 637, 470, 638)(421, 589, 472, 640, 456, 624)(422, 590, 455, 623, 473, 641)(423, 591, 459, 627, 471, 639)(424, 592, 475, 643, 476, 644)(426, 594, 462, 630, 477, 645)(429, 597, 454, 622, 480, 648)(430, 598, 481, 649, 460, 628)(431, 599, 482, 650, 483, 651)(446, 614, 464, 632, 487, 655)(447, 615, 492, 660, 466, 634)(448, 616, 457, 625, 489, 657)(450, 618, 490, 658, 494, 662)(451, 619, 495, 663, 496, 664)(452, 620, 479, 647, 497, 665)(453, 621, 498, 666, 486, 654)(461, 629, 474, 642, 501, 669)(463, 631, 502, 670, 491, 659)(478, 646, 485, 653, 500, 668)(484, 652, 504, 672, 503, 671)(488, 656, 499, 667, 493, 661)
	L = (1, 339)(2, 342)(3, 345)(4, 347)(5, 337)(6, 352)(7, 338)(8, 356)(9, 341)(10, 354)(11, 362)(12, 340)(13, 366)(14, 367)(15, 369)(16, 343)(17, 364)(18, 374)(19, 375)(20, 378)(21, 344)(22, 382)(23, 380)(24, 346)(25, 387)(26, 348)(27, 349)(28, 392)(29, 393)(30, 391)(31, 398)(32, 350)(33, 402)(34, 351)(35, 406)(36, 404)(37, 353)(38, 360)(39, 414)(40, 355)(41, 417)(42, 357)(43, 385)(44, 422)(45, 423)(46, 426)(47, 358)(48, 359)(49, 429)(50, 430)(51, 433)(52, 361)(53, 437)(54, 435)(55, 363)(56, 373)(57, 425)(58, 365)(59, 431)(60, 399)(61, 447)(62, 368)(63, 450)(64, 418)(65, 451)(66, 370)(67, 409)(68, 454)(69, 455)(70, 457)(71, 371)(72, 372)(73, 459)(74, 460)(75, 461)(76, 415)(77, 463)(78, 376)(79, 466)(80, 452)(81, 400)(82, 377)(83, 390)(84, 469)(85, 379)(86, 384)(87, 474)(88, 381)(89, 394)(90, 383)(91, 428)(92, 479)(93, 421)(94, 395)(95, 386)(96, 484)(97, 388)(98, 439)(99, 471)(100, 480)(101, 487)(102, 389)(103, 473)(104, 481)(105, 488)(106, 444)(107, 490)(108, 491)(109, 485)(110, 396)(111, 493)(112, 397)(113, 458)(114, 446)(115, 416)(116, 401)(117, 403)(118, 408)(119, 499)(120, 405)(121, 407)(122, 500)(123, 453)(124, 411)(125, 410)(126, 412)(127, 483)(128, 413)(129, 420)(130, 462)(131, 503)(132, 472)(133, 497)(134, 449)(135, 419)(136, 492)(137, 475)(138, 424)(139, 434)(140, 494)(141, 443)(142, 427)(143, 478)(144, 482)(145, 441)(146, 486)(147, 464)(148, 445)(149, 432)(150, 436)(151, 438)(152, 440)(153, 442)(154, 501)(155, 489)(156, 495)(157, 448)(158, 467)(159, 468)(160, 498)(161, 465)(162, 502)(163, 456)(164, 470)(165, 477)(166, 504)(167, 476)(168, 496)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.383
Graph:: simple bipartite
	v = 224 e = 336 f = 98
	degree seq :: [ 2^168, 6^56 ]

E8.386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = C2 x PSL(3,2) (small group id <336, 209>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 ]
Map:: polytopal
	R = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)(337, 505, 338, 506, 340, 508)(339, 507, 344, 512, 346, 514)(341, 509, 349, 517, 350, 518)(342, 510, 351, 519, 353, 521)(343, 511, 354, 522, 355, 523)(345, 513, 358, 526, 359, 527)(347, 515, 361, 529, 363, 531)(348, 516, 364, 532, 365, 533)(352, 520, 371, 539, 372, 540)(356, 524, 377, 545, 379, 547)(357, 525, 380, 548, 381, 549)(360, 528, 385, 553, 386, 554)(362, 530, 389, 557, 390, 558)(366, 534, 394, 562, 395, 563)(367, 535, 396, 564, 383, 551)(368, 536, 398, 566, 369, 537)(370, 538, 400, 568, 401, 569)(373, 541, 405, 573, 406, 574)(374, 542, 407, 575, 408, 576)(375, 543, 409, 577, 403, 571)(376, 544, 411, 579, 387, 555)(378, 546, 413, 581, 414, 582)(382, 550, 418, 586, 420, 588)(384, 552, 421, 589, 422, 590)(388, 556, 426, 594, 427, 595)(391, 559, 431, 599, 432, 600)(392, 560, 433, 601, 415, 583)(393, 561, 434, 602, 429, 597)(397, 565, 438, 606, 439, 607)(399, 567, 440, 608, 441, 609)(402, 570, 444, 612, 446, 614)(404, 572, 447, 615, 448, 616)(410, 578, 453, 621, 454, 622)(412, 580, 455, 623, 456, 624)(416, 584, 460, 628, 445, 613)(417, 585, 437, 605, 458, 626)(419, 587, 462, 630, 463, 631)(423, 591, 467, 635, 464, 632)(424, 592, 468, 636, 450, 618)(425, 593, 469, 637, 470, 638)(428, 596, 472, 640, 474, 642)(430, 598, 475, 643, 476, 644)(435, 603, 477, 645, 480, 648)(436, 604, 465, 633, 481, 649)(442, 610, 485, 653, 473, 641)(443, 611, 452, 620, 483, 651)(449, 617, 457, 625, 478, 646)(451, 619, 487, 655, 489, 657)(459, 627, 486, 654, 493, 661)(461, 629, 495, 663, 496, 664)(466, 634, 490, 658, 494, 662)(471, 639, 479, 647, 492, 660)(482, 650, 497, 665, 499, 667)(484, 652, 498, 666, 500, 668)(488, 656, 491, 659, 501, 669)(502, 670, 503, 671, 504, 672)
	L = (1, 339)(2, 342)(3, 345)(4, 347)(5, 337)(6, 352)(7, 338)(8, 356)(9, 341)(10, 354)(11, 362)(12, 340)(13, 366)(14, 367)(15, 369)(16, 343)(17, 364)(18, 374)(19, 375)(20, 378)(21, 344)(22, 382)(23, 380)(24, 346)(25, 387)(26, 348)(27, 349)(28, 392)(29, 393)(30, 391)(31, 397)(32, 350)(33, 399)(34, 351)(35, 402)(36, 400)(37, 353)(38, 360)(39, 410)(40, 355)(41, 365)(42, 357)(43, 385)(44, 416)(45, 417)(46, 419)(47, 358)(48, 359)(49, 423)(50, 424)(51, 425)(52, 361)(53, 428)(54, 426)(55, 363)(56, 373)(57, 412)(58, 422)(59, 398)(60, 427)(61, 368)(62, 405)(63, 370)(64, 442)(65, 443)(66, 445)(67, 371)(68, 372)(69, 436)(70, 449)(71, 448)(72, 411)(73, 381)(74, 376)(75, 431)(76, 377)(77, 457)(78, 455)(79, 379)(80, 384)(81, 452)(82, 386)(83, 383)(84, 421)(85, 465)(86, 466)(87, 415)(88, 461)(89, 388)(90, 462)(91, 471)(92, 473)(93, 389)(94, 390)(95, 451)(96, 477)(97, 476)(98, 401)(99, 394)(100, 395)(101, 396)(102, 482)(103, 458)(104, 480)(105, 438)(106, 404)(107, 479)(108, 406)(109, 403)(110, 447)(111, 487)(112, 488)(113, 486)(114, 407)(115, 408)(116, 409)(117, 490)(118, 483)(119, 491)(120, 492)(121, 439)(122, 413)(123, 414)(124, 493)(125, 418)(126, 430)(127, 495)(128, 420)(129, 464)(130, 435)(131, 489)(132, 456)(133, 468)(134, 453)(135, 437)(136, 432)(137, 429)(138, 475)(139, 467)(140, 499)(141, 498)(142, 433)(143, 434)(144, 454)(145, 446)(146, 484)(147, 440)(148, 441)(149, 500)(150, 444)(151, 481)(152, 450)(153, 474)(154, 496)(155, 459)(156, 469)(157, 502)(158, 460)(159, 503)(160, 470)(161, 463)(162, 472)(163, 478)(164, 504)(165, 485)(166, 494)(167, 497)(168, 501)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.384
Graph:: simple bipartite
	v = 224 e = 336 f = 98
	degree seq :: [ 2^168, 6^56 ]

E8.387 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^8, (T1^2 * T2 * T1^-3 * T2 * T1)^2, (T2 * T1^2 * T2 * T1^-2)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 20, 10, 4)(3, 7, 15, 27, 45, 31, 17, 8)(6, 13, 25, 41, 66, 44, 26, 14)(9, 18, 32, 52, 77, 49, 29, 16)(12, 23, 39, 62, 95, 65, 40, 24)(19, 34, 55, 85, 126, 84, 54, 33)(22, 37, 60, 91, 137, 94, 61, 38)(28, 47, 74, 111, 164, 114, 75, 48)(30, 50, 78, 117, 154, 103, 68, 42)(35, 57, 88, 131, 189, 130, 87, 56)(36, 58, 89, 133, 191, 136, 90, 59)(43, 69, 104, 155, 207, 145, 97, 63)(46, 72, 109, 161, 201, 141, 110, 73)(51, 80, 120, 176, 240, 175, 119, 79)(53, 82, 123, 179, 243, 182, 124, 83)(64, 98, 146, 208, 259, 199, 139, 92)(67, 101, 151, 213, 255, 195, 152, 102)(70, 106, 158, 127, 185, 221, 157, 105)(71, 107, 159, 218, 276, 225, 160, 108)(76, 115, 169, 192, 252, 231, 166, 112)(81, 121, 178, 210, 147, 99, 148, 122)(86, 128, 186, 247, 294, 249, 187, 129)(93, 140, 200, 260, 298, 253, 193, 134)(96, 143, 204, 264, 248, 188, 205, 144)(100, 149, 211, 269, 232, 168, 212, 150)(113, 167, 209, 270, 310, 281, 227, 162)(116, 171, 235, 172, 236, 287, 234, 170)(118, 173, 237, 288, 314, 278, 238, 174)(125, 183, 198, 138, 197, 257, 245, 180)(132, 135, 194, 254, 299, 296, 250, 190)(142, 202, 262, 305, 275, 217, 263, 203)(153, 216, 261, 226, 280, 312, 274, 214)(156, 219, 277, 313, 290, 242, 181, 220)(163, 196, 256, 301, 324, 309, 268, 223)(165, 229, 283, 318, 289, 239, 284, 230)(177, 224, 279, 315, 323, 306, 266, 241)(184, 222, 272, 228, 282, 317, 293, 246)(206, 267, 300, 273, 311, 328, 308, 265)(215, 251, 233, 286, 320, 326, 304, 271)(244, 291, 322, 332, 319, 285, 297, 292)(258, 303, 295, 307, 327, 333, 325, 302)(316, 330, 321, 331, 335, 336, 334, 329)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 36)(24, 37)(25, 42)(26, 43)(27, 46)(29, 47)(31, 51)(32, 53)(34, 56)(38, 58)(39, 63)(40, 64)(41, 67)(44, 70)(45, 71)(48, 72)(49, 76)(50, 79)(52, 81)(54, 82)(55, 86)(57, 59)(60, 92)(61, 93)(62, 96)(65, 99)(66, 100)(68, 101)(69, 105)(73, 107)(74, 112)(75, 113)(77, 116)(78, 118)(80, 108)(83, 121)(84, 125)(85, 127)(87, 128)(88, 132)(89, 134)(90, 135)(91, 138)(94, 141)(95, 142)(97, 143)(98, 147)(102, 149)(103, 153)(104, 156)(106, 150)(109, 162)(110, 163)(111, 165)(114, 168)(115, 170)(117, 172)(119, 173)(120, 177)(122, 171)(123, 180)(124, 181)(126, 184)(129, 185)(130, 188)(131, 176)(133, 192)(136, 195)(137, 196)(139, 197)(140, 201)(144, 202)(145, 206)(146, 209)(148, 203)(151, 214)(152, 215)(154, 217)(155, 218)(157, 219)(158, 222)(159, 223)(160, 224)(161, 226)(164, 228)(166, 229)(167, 232)(169, 233)(174, 236)(175, 239)(178, 242)(179, 244)(182, 225)(183, 246)(186, 248)(187, 238)(189, 241)(190, 240)(191, 251)(193, 252)(194, 255)(198, 256)(199, 258)(200, 261)(204, 265)(205, 266)(207, 268)(208, 269)(210, 270)(211, 271)(212, 272)(213, 273)(216, 275)(220, 276)(221, 278)(227, 280)(230, 282)(231, 285)(234, 286)(235, 263)(237, 289)(243, 279)(245, 291)(247, 295)(249, 287)(250, 284)(253, 297)(254, 300)(257, 302)(259, 304)(260, 305)(262, 306)(264, 307)(267, 309)(274, 311)(277, 314)(281, 316)(283, 319)(288, 321)(290, 310)(292, 315)(293, 301)(294, 320)(296, 317)(298, 323)(299, 324)(303, 326)(308, 327)(312, 329)(313, 330)(318, 331)(322, 325)(328, 334)(332, 335)(333, 336)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: reflexible
Dual of E8.390
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 42 e = 168 f = 112
	degree seq :: [ 8^42 ]

E8.388 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^8, T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^2, T2 * T1^3 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^2 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 20, 10, 4)(3, 7, 15, 27, 45, 31, 17, 8)(6, 13, 25, 41, 66, 44, 26, 14)(9, 18, 32, 52, 77, 49, 29, 16)(12, 23, 39, 62, 95, 65, 40, 24)(19, 34, 55, 85, 126, 84, 54, 33)(22, 37, 60, 91, 137, 94, 61, 38)(28, 47, 74, 111, 165, 114, 75, 48)(30, 50, 78, 117, 154, 103, 68, 42)(35, 57, 88, 131, 184, 130, 87, 56)(36, 58, 89, 133, 187, 136, 90, 59)(43, 69, 104, 155, 200, 145, 97, 63)(46, 72, 109, 161, 219, 164, 110, 73)(51, 80, 120, 173, 193, 138, 119, 79)(53, 82, 123, 153, 209, 178, 124, 83)(64, 98, 146, 201, 172, 118, 139, 92)(67, 101, 151, 125, 179, 208, 152, 102)(70, 106, 158, 213, 243, 188, 157, 105)(71, 107, 159, 215, 269, 218, 160, 108)(76, 115, 168, 199, 144, 96, 143, 112)(81, 121, 175, 191, 244, 234, 176, 122)(86, 128, 162, 113, 166, 223, 183, 129)(93, 140, 194, 247, 212, 156, 189, 134)(99, 148, 204, 255, 241, 185, 203, 147)(100, 149, 205, 257, 302, 260, 206, 150)(116, 170, 228, 279, 308, 270, 227, 169)(127, 181, 195, 141, 196, 248, 239, 182)(132, 135, 190, 177, 235, 254, 202, 186)(142, 197, 249, 294, 320, 297, 250, 198)(163, 220, 253, 300, 278, 226, 271, 216)(167, 225, 256, 296, 282, 231, 277, 224)(171, 229, 273, 221, 274, 310, 281, 230)(174, 217, 258, 207, 261, 292, 276, 232)(180, 238, 286, 313, 325, 311, 285, 237)(192, 245, 290, 317, 329, 319, 291, 246)(210, 264, 293, 318, 306, 267, 305, 263)(211, 265, 303, 262, 304, 280, 233, 266)(214, 259, 295, 251, 298, 284, 236, 268)(222, 252, 299, 283, 312, 321, 301, 275)(240, 287, 314, 326, 332, 324, 309, 272)(242, 288, 315, 327, 333, 328, 316, 289)(307, 323, 331, 335, 336, 334, 330, 322)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 36)(24, 37)(25, 42)(26, 43)(27, 46)(29, 47)(31, 51)(32, 53)(34, 56)(38, 58)(39, 63)(40, 64)(41, 67)(44, 70)(45, 71)(48, 72)(49, 76)(50, 79)(52, 81)(54, 82)(55, 86)(57, 59)(60, 92)(61, 93)(62, 96)(65, 99)(66, 100)(68, 101)(69, 105)(73, 107)(74, 112)(75, 113)(77, 116)(78, 118)(80, 108)(83, 121)(84, 125)(85, 127)(87, 128)(88, 132)(89, 134)(90, 135)(91, 138)(94, 141)(95, 142)(97, 143)(98, 147)(102, 149)(103, 153)(104, 156)(106, 150)(109, 162)(110, 163)(111, 145)(114, 167)(115, 169)(117, 171)(119, 139)(120, 174)(122, 170)(123, 151)(124, 177)(126, 180)(129, 181)(130, 161)(131, 185)(133, 188)(136, 191)(137, 192)(140, 195)(144, 197)(146, 202)(148, 198)(152, 207)(154, 210)(155, 211)(157, 189)(158, 214)(159, 216)(160, 217)(164, 221)(165, 222)(166, 224)(168, 226)(172, 229)(173, 231)(175, 190)(176, 233)(178, 236)(179, 237)(182, 238)(183, 194)(184, 240)(186, 203)(187, 242)(193, 245)(196, 246)(199, 251)(200, 252)(201, 253)(204, 256)(205, 258)(206, 259)(208, 262)(209, 263)(212, 265)(213, 267)(215, 270)(218, 257)(219, 272)(220, 273)(223, 276)(225, 275)(227, 271)(228, 280)(230, 264)(232, 277)(234, 283)(235, 284)(239, 281)(241, 287)(243, 288)(244, 289)(247, 292)(248, 293)(249, 295)(250, 296)(254, 300)(255, 301)(260, 294)(261, 303)(266, 299)(268, 305)(269, 307)(274, 309)(278, 298)(279, 311)(282, 290)(285, 304)(286, 310)(291, 318)(297, 317)(302, 322)(306, 315)(308, 323)(312, 316)(313, 324)(314, 321)(319, 327)(320, 330)(325, 331)(326, 328)(329, 334)(332, 335)(333, 336)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: reflexible
Dual of E8.389
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 42 e = 168 f = 112
	degree seq :: [ 8^42 ]

E8.389 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^4, (T1^-1 * T2)^8, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 80)(62, 88, 89)(63, 90, 91)(64, 92, 93)(65, 94, 95)(66, 96, 75)(76, 103, 104)(77, 105, 101)(78, 106, 107)(79, 108, 109)(81, 110, 111)(82, 112, 97)(98, 125, 126)(99, 127, 128)(100, 129, 130)(102, 131, 132)(113, 143, 144)(114, 145, 123)(115, 146, 147)(116, 148, 149)(117, 150, 151)(118, 152, 119)(120, 153, 154)(121, 155, 156)(122, 157, 158)(124, 159, 160)(133, 171, 141)(134, 240, 189)(135, 204, 270)(136, 241, 321)(137, 242, 138)(139, 244, 246)(140, 178, 261)(142, 233, 198)(161, 173, 168)(162, 248, 194)(163, 269, 249)(164, 271, 165)(166, 273, 275)(167, 174, 286)(169, 258, 247)(170, 278, 268)(172, 282, 283)(175, 288, 274)(176, 289, 235)(177, 232, 260)(179, 293, 245)(180, 216, 296)(181, 297, 226)(182, 236, 214)(183, 298, 299)(184, 224, 302)(185, 303, 208)(186, 217, 222)(187, 306, 308)(188, 201, 310)(190, 259, 215)(191, 227, 207)(192, 314, 315)(193, 209, 309)(195, 316, 200)(196, 202, 210)(197, 320, 294)(199, 307, 317)(203, 324, 300)(205, 264, 254)(206, 221, 295)(211, 328, 290)(212, 257, 311)(213, 231, 301)(218, 325, 305)(219, 329, 250)(220, 238, 230)(223, 331, 284)(225, 239, 291)(228, 262, 313)(229, 332, 280)(234, 267, 285)(237, 255, 253)(243, 276, 251)(252, 327, 312)(256, 334, 292)(263, 335, 265)(266, 333, 319)(272, 279, 281)(277, 336, 287)(304, 330, 323)(318, 326, 322)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 97)(68, 98)(69, 92)(70, 99)(71, 100)(72, 101)(73, 102)(74, 83)(84, 113)(85, 114)(86, 115)(87, 116)(88, 117)(89, 118)(90, 119)(91, 120)(93, 121)(94, 122)(95, 123)(96, 124)(103, 133)(104, 134)(105, 135)(106, 136)(107, 137)(108, 138)(109, 139)(110, 140)(111, 141)(112, 142)(125, 161)(126, 162)(127, 163)(128, 164)(129, 165)(130, 166)(131, 167)(132, 168)(143, 247)(144, 224)(145, 250)(146, 252)(147, 253)(148, 255)(149, 256)(150, 214)(151, 258)(152, 259)(153, 260)(154, 191)(155, 262)(156, 263)(157, 265)(158, 266)(159, 268)(160, 232)(169, 276)(170, 279)(171, 280)(172, 267)(173, 284)(174, 287)(175, 239)(176, 221)(177, 290)(178, 292)(179, 231)(180, 294)(181, 209)(182, 246)(183, 257)(184, 300)(185, 195)(186, 275)(187, 307)(188, 308)(189, 305)(190, 201)(192, 264)(193, 315)(194, 313)(196, 319)(197, 314)(198, 216)(199, 238)(200, 299)(202, 323)(203, 298)(204, 325)(205, 220)(206, 317)(207, 269)(208, 245)(210, 327)(211, 306)(212, 230)(213, 254)(215, 274)(217, 322)(218, 293)(219, 324)(222, 241)(223, 320)(225, 311)(226, 235)(227, 326)(228, 288)(229, 328)(233, 283)(234, 301)(236, 318)(237, 289)(240, 333)(242, 297)(243, 291)(244, 296)(248, 330)(249, 282)(251, 331)(261, 304)(270, 277)(271, 303)(272, 295)(273, 302)(278, 321)(281, 329)(285, 332)(286, 312)(309, 336)(310, 334)(316, 335)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: reflexible
Dual of E8.388
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 112 e = 168 f = 42
	degree seq :: [ 3^112 ]

E8.390 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^8, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 75)(76, 105, 106)(77, 107, 108)(78, 109, 110)(79, 111, 112)(80, 113, 114)(81, 115, 116)(82, 117, 98)(99, 132, 133)(100, 134, 135)(101, 136, 137)(102, 138, 139)(103, 140, 141)(104, 142, 143)(118, 157, 158)(119, 159, 160)(120, 161, 162)(121, 163, 164)(122, 165, 166)(123, 167, 168)(124, 169, 125)(126, 170, 171)(127, 172, 173)(128, 174, 175)(129, 176, 177)(130, 178, 179)(131, 180, 181)(144, 194, 195)(145, 196, 197)(146, 198, 199)(147, 200, 201)(148, 202, 203)(149, 204, 150)(151, 205, 206)(152, 207, 208)(153, 209, 210)(154, 211, 212)(155, 213, 214)(156, 215, 216)(182, 242, 243)(183, 244, 245)(184, 246, 247)(185, 248, 249)(186, 250, 251)(187, 252, 188)(189, 253, 254)(190, 255, 256)(191, 257, 258)(192, 259, 260)(193, 261, 262)(217, 280, 279)(218, 267, 266)(219, 265, 286)(220, 287, 288)(221, 271, 289)(222, 285, 223)(224, 290, 291)(225, 292, 293)(226, 294, 264)(227, 263, 295)(228, 296, 297)(229, 298, 273)(230, 272, 299)(231, 281, 300)(232, 301, 302)(233, 303, 269)(234, 268, 304)(235, 284, 236)(237, 283, 305)(238, 306, 276)(239, 275, 307)(240, 308, 309)(241, 310, 311)(270, 317, 312)(274, 315, 318)(277, 319, 314)(278, 313, 320)(282, 321, 316)(322, 336, 327)(323, 330, 335)(324, 334, 329)(325, 328, 333)(326, 332, 331)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 98)(68, 99)(69, 100)(70, 101)(71, 102)(72, 103)(73, 104)(74, 83)(84, 118)(85, 119)(86, 120)(87, 121)(88, 122)(89, 123)(90, 124)(91, 125)(92, 126)(93, 127)(94, 128)(95, 129)(96, 130)(97, 131)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)(181, 241)(194, 263)(195, 264)(196, 265)(197, 266)(198, 267)(199, 268)(200, 269)(201, 270)(202, 271)(203, 272)(204, 273)(205, 274)(206, 275)(207, 276)(208, 277)(209, 278)(210, 279)(211, 280)(212, 281)(213, 282)(214, 283)(215, 284)(216, 285)(242, 289)(243, 312)(244, 295)(245, 311)(246, 310)(247, 313)(248, 314)(249, 287)(250, 286)(251, 315)(252, 298)(253, 297)(254, 305)(255, 316)(256, 292)(257, 291)(258, 309)(259, 308)(260, 307)(261, 301)(262, 300)(288, 322)(290, 323)(293, 324)(294, 325)(296, 326)(299, 327)(302, 328)(303, 329)(304, 330)(306, 331)(317, 332)(318, 333)(319, 334)(320, 335)(321, 336)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: reflexible
Dual of E8.387
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 112 e = 168 f = 42
	degree seq :: [ 3^112 ]

E8.391 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^8, (T1 * T2 * T1 * T2^-1)^4, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 115, 116)(92, 117, 101)(93, 118, 119)(94, 120, 121)(95, 122, 123)(96, 124, 97)(98, 125, 126)(99, 127, 128)(100, 129, 130)(102, 131, 132)(103, 133, 134)(104, 135, 113)(105, 136, 137)(106, 138, 139)(107, 140, 141)(108, 142, 109)(110, 143, 144)(111, 145, 146)(112, 147, 148)(114, 149, 150)(151, 253, 159)(152, 254, 319)(153, 255, 240)(154, 186, 185)(155, 207, 156)(157, 178, 197)(158, 261, 280)(160, 206, 256)(161, 262, 168)(162, 263, 310)(163, 196, 195)(164, 194, 165)(166, 173, 187)(167, 268, 287)(169, 177, 176)(170, 175, 174)(171, 182, 181)(172, 184, 183)(179, 199, 198)(180, 201, 200)(188, 216, 215)(189, 218, 217)(190, 220, 219)(191, 208, 221)(192, 223, 222)(193, 225, 224)(202, 258, 257)(203, 260, 259)(204, 265, 264)(205, 267, 266)(209, 214, 315)(210, 316, 272)(211, 312, 300)(212, 317, 286)(213, 291, 314)(226, 230, 325)(227, 320, 273)(228, 239, 301)(229, 281, 313)(231, 234, 326)(232, 311, 269)(233, 288, 318)(235, 327, 243)(236, 244, 328)(237, 274, 323)(238, 324, 275)(241, 306, 276)(242, 277, 307)(245, 329, 251)(246, 252, 330)(247, 270, 304)(248, 305, 271)(249, 321, 294)(250, 295, 322)(278, 296, 298)(279, 299, 297)(282, 289, 292)(283, 293, 290)(284, 335, 331)(285, 332, 336)(302, 309, 333)(303, 334, 308)(337, 338)(339, 343)(340, 344)(341, 345)(342, 346)(347, 355)(348, 356)(349, 357)(350, 358)(351, 359)(352, 360)(353, 361)(354, 362)(363, 379)(364, 380)(365, 381)(366, 382)(367, 383)(368, 384)(369, 385)(370, 386)(371, 387)(372, 388)(373, 389)(374, 390)(375, 391)(376, 392)(377, 393)(378, 394)(395, 426)(396, 427)(397, 428)(398, 429)(399, 430)(400, 416)(401, 431)(402, 432)(403, 433)(404, 434)(405, 421)(406, 435)(407, 436)(408, 437)(409, 438)(410, 411)(412, 439)(413, 440)(414, 441)(415, 442)(417, 443)(418, 444)(419, 445)(420, 446)(422, 447)(423, 448)(424, 449)(425, 450)(451, 487)(452, 488)(453, 489)(454, 490)(455, 491)(456, 492)(457, 493)(458, 494)(459, 495)(460, 496)(461, 497)(462, 498)(463, 499)(464, 500)(465, 501)(466, 502)(467, 503)(468, 504)(469, 571)(470, 573)(471, 575)(472, 507)(473, 552)(474, 524)(475, 536)(476, 577)(477, 579)(478, 545)(479, 581)(480, 583)(481, 515)(482, 557)(483, 544)(484, 519)(485, 585)(486, 587)(505, 599)(506, 606)(508, 590)(509, 610)(510, 612)(511, 614)(512, 616)(513, 618)(514, 620)(516, 621)(517, 623)(518, 625)(520, 628)(521, 630)(522, 632)(523, 634)(525, 611)(526, 591)(527, 582)(528, 609)(529, 637)(530, 567)(531, 638)(532, 640)(533, 642)(534, 644)(535, 646)(537, 597)(538, 605)(539, 622)(540, 608)(541, 636)(542, 645)(543, 562)(546, 607)(547, 600)(548, 593)(549, 595)(550, 639)(551, 572)(553, 576)(554, 604)(555, 586)(556, 655)(558, 564)(559, 657)(560, 569)(561, 659)(563, 613)(565, 602)(566, 580)(568, 615)(570, 631)(574, 617)(578, 650)(584, 619)(588, 624)(589, 653)(592, 667)(594, 669)(596, 665)(598, 648)(601, 663)(603, 671)(626, 643)(627, 668)(629, 635)(633, 649)(641, 654)(647, 658)(651, 672)(652, 670)(656, 664)(660, 661)(662, 666)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 16, 16 ), ( 16^3 ) }
Outer automorphisms :: reflexible
Dual of E8.400
Transitivity :: ET+
Graph:: simple bipartite
	v = 280 e = 336 f = 42
	degree seq :: [ 2^168, 3^112 ]

E8.392 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^8, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^3 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 119, 120)(92, 121, 122)(93, 123, 124)(94, 125, 126)(95, 127, 128)(96, 129, 130)(97, 131, 98)(99, 132, 133)(100, 134, 135)(101, 136, 137)(102, 138, 139)(103, 140, 141)(104, 142, 143)(105, 144, 145)(106, 146, 147)(107, 148, 149)(108, 150, 151)(109, 152, 153)(110, 154, 155)(111, 156, 112)(113, 157, 158)(114, 159, 160)(115, 161, 162)(116, 163, 164)(117, 165, 166)(118, 167, 168)(169, 219, 220)(170, 221, 222)(171, 223, 224)(172, 225, 226)(173, 227, 228)(174, 229, 175)(176, 230, 231)(177, 232, 233)(178, 234, 235)(179, 236, 237)(180, 238, 239)(181, 240, 241)(182, 242, 243)(183, 244, 245)(184, 246, 247)(185, 248, 249)(186, 250, 251)(187, 252, 188)(189, 253, 254)(190, 255, 256)(191, 257, 258)(192, 259, 260)(193, 261, 262)(194, 263, 264)(195, 265, 266)(196, 267, 268)(197, 269, 270)(198, 271, 272)(199, 273, 200)(201, 274, 275)(202, 276, 277)(203, 278, 279)(204, 280, 281)(205, 282, 283)(206, 284, 285)(207, 286, 287)(208, 288, 289)(209, 290, 291)(210, 292, 293)(211, 294, 295)(212, 296, 213)(214, 297, 298)(215, 299, 300)(216, 301, 302)(217, 303, 304)(218, 305, 306)(307, 327, 312)(308, 315, 328)(309, 329, 314)(310, 313, 330)(311, 331, 316)(317, 332, 322)(318, 325, 333)(319, 334, 324)(320, 323, 335)(321, 336, 326)(337, 338)(339, 343)(340, 344)(341, 345)(342, 346)(347, 355)(348, 356)(349, 357)(350, 358)(351, 359)(352, 360)(353, 361)(354, 362)(363, 379)(364, 380)(365, 381)(366, 382)(367, 383)(368, 384)(369, 385)(370, 386)(371, 387)(372, 388)(373, 389)(374, 390)(375, 391)(376, 392)(377, 393)(378, 394)(395, 426)(396, 427)(397, 428)(398, 429)(399, 430)(400, 431)(401, 432)(402, 433)(403, 434)(404, 435)(405, 436)(406, 437)(407, 438)(408, 439)(409, 440)(410, 411)(412, 441)(413, 442)(414, 443)(415, 444)(416, 445)(417, 446)(418, 447)(419, 448)(420, 449)(421, 450)(422, 451)(423, 452)(424, 453)(425, 454)(455, 505)(456, 506)(457, 507)(458, 508)(459, 509)(460, 510)(461, 511)(462, 512)(463, 513)(464, 514)(465, 515)(466, 516)(467, 517)(468, 518)(469, 519)(470, 520)(471, 521)(472, 522)(473, 523)(474, 524)(475, 525)(476, 526)(477, 527)(478, 528)(479, 529)(480, 530)(481, 531)(482, 532)(483, 533)(484, 534)(485, 535)(486, 536)(487, 537)(488, 538)(489, 539)(490, 540)(491, 541)(492, 542)(493, 543)(494, 544)(495, 545)(496, 546)(497, 547)(498, 548)(499, 549)(500, 550)(501, 551)(502, 552)(503, 553)(504, 554)(555, 616)(556, 615)(557, 603)(558, 602)(559, 601)(560, 630)(561, 629)(562, 643)(563, 607)(564, 622)(565, 621)(566, 644)(567, 637)(568, 636)(569, 645)(570, 646)(571, 600)(572, 599)(573, 624)(574, 647)(575, 633)(576, 632)(577, 609)(578, 608)(579, 648)(580, 617)(581, 642)(582, 641)(583, 649)(584, 650)(585, 605)(586, 604)(587, 651)(588, 620)(589, 619)(590, 634)(591, 652)(592, 612)(593, 611)(594, 640)(595, 639)(596, 638)(597, 626)(598, 625)(606, 653)(610, 654)(613, 655)(614, 656)(618, 657)(623, 658)(627, 659)(628, 660)(631, 661)(635, 662)(663, 672)(664, 671)(665, 670)(666, 669)(667, 668)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 16, 16 ), ( 16^3 ) }
Outer automorphisms :: reflexible
Dual of E8.399
Transitivity :: ET+
Graph:: simple bipartite
	v = 280 e = 336 f = 42
	degree seq :: [ 2^168, 3^112 ]

E8.393 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2^8, T2^2 * T1^-1 * T2^-3 * T1 * T2^3 * T1^-1 * T2^4 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 26, 13, 5)(2, 6, 14, 27, 49, 32, 16, 7)(4, 11, 22, 41, 60, 34, 17, 8)(10, 21, 40, 68, 100, 62, 35, 18)(12, 23, 43, 73, 115, 76, 44, 24)(15, 29, 52, 85, 134, 88, 53, 30)(20, 39, 67, 106, 160, 102, 63, 36)(25, 45, 77, 121, 186, 124, 78, 46)(28, 51, 84, 131, 197, 127, 80, 48)(31, 54, 89, 140, 215, 143, 90, 55)(33, 57, 92, 145, 224, 148, 93, 58)(38, 66, 105, 164, 248, 162, 103, 64)(42, 72, 113, 175, 247, 173, 111, 70)(47, 65, 104, 163, 216, 193, 125, 79)(50, 83, 130, 201, 159, 199, 128, 81)(56, 82, 129, 200, 225, 222, 144, 91)(59, 94, 149, 230, 187, 233, 150, 95)(61, 97, 152, 235, 263, 238, 153, 98)(69, 110, 171, 258, 192, 256, 169, 108)(71, 112, 174, 262, 196, 234, 151, 96)(74, 117, 181, 270, 221, 268, 177, 114)(75, 118, 182, 249, 165, 251, 183, 119)(86, 136, 210, 291, 232, 290, 206, 133)(87, 137, 211, 284, 202, 285, 212, 138)(99, 154, 239, 178, 116, 180, 240, 155)(101, 157, 242, 293, 312, 308, 243, 158)(107, 168, 254, 190, 123, 189, 252, 166)(109, 170, 257, 213, 139, 208, 241, 156)(120, 179, 269, 207, 135, 209, 274, 184)(122, 188, 277, 320, 319, 289, 275, 185)(126, 194, 280, 236, 302, 323, 281, 195)(132, 205, 288, 219, 142, 218, 286, 203)(141, 217, 295, 327, 311, 255, 279, 214)(146, 226, 298, 329, 306, 267, 297, 223)(147, 227, 299, 264, 176, 266, 300, 228)(161, 245, 265, 315, 328, 296, 220, 246)(167, 253, 309, 301, 229, 283, 198, 244)(172, 260, 250, 272, 317, 332, 305, 261)(191, 276, 231, 282, 204, 287, 321, 278)(237, 303, 330, 313, 259, 314, 331, 304)(271, 310, 334, 318, 273, 307, 333, 316)(292, 324, 336, 326, 294, 322, 335, 325)(337, 338, 340)(339, 344, 346)(341, 348, 342)(343, 351, 347)(345, 354, 356)(349, 361, 359)(350, 360, 364)(352, 367, 365)(353, 369, 357)(355, 372, 374)(358, 366, 378)(362, 383, 381)(363, 384, 386)(368, 392, 390)(370, 395, 393)(371, 397, 375)(373, 400, 401)(376, 394, 405)(377, 406, 407)(379, 382, 410)(380, 411, 387)(385, 417, 418)(388, 391, 422)(389, 423, 408)(396, 432, 430)(398, 435, 433)(399, 437, 402)(403, 434, 443)(404, 444, 445)(409, 450, 452)(412, 456, 454)(413, 415, 458)(414, 459, 453)(416, 462, 419)(420, 455, 468)(421, 469, 471)(424, 475, 473)(425, 427, 477)(426, 478, 472)(428, 431, 482)(429, 483, 446)(436, 492, 490)(438, 495, 493)(439, 497, 440)(441, 494, 501)(442, 502, 503)(447, 508, 448)(449, 474, 512)(451, 514, 515)(457, 521, 523)(460, 527, 525)(461, 528, 524)(463, 532, 530)(464, 534, 465)(466, 531, 538)(467, 539, 540)(470, 543, 544)(476, 550, 552)(479, 556, 554)(480, 557, 553)(481, 559, 561)(484, 565, 563)(485, 487, 567)(486, 568, 562)(488, 491, 572)(489, 573, 504)(496, 580, 535)(498, 583, 581)(499, 582, 551)(500, 585, 586)(505, 591, 506)(507, 564, 595)(509, 584, 596)(510, 597, 599)(511, 600, 601)(513, 603, 516)(517, 526, 607)(518, 520, 608)(519, 609, 541)(522, 566, 612)(529, 615, 592)(533, 618, 570)(536, 619, 560)(537, 620, 578)(542, 625, 545)(546, 555, 628)(547, 549, 629)(548, 630, 602)(558, 633, 604)(569, 611, 626)(571, 616, 598)(574, 641, 639)(575, 577, 605)(576, 642, 638)(579, 643, 587)(588, 614, 589)(590, 640, 646)(593, 647, 648)(594, 649, 613)(606, 652, 631)(610, 655, 653)(617, 658, 621)(622, 632, 623)(624, 654, 660)(627, 661, 634)(635, 637, 651)(636, 662, 650)(644, 663, 669)(645, 657, 664)(656, 666, 668)(659, 665, 671)(667, 672, 670)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4^3 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E8.401
Transitivity :: ET+
Graph:: simple bipartite
	v = 154 e = 336 f = 168
	degree seq :: [ 3^112, 8^42 ]

E8.394 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^2 * T1^-1)^4, (T2 * T1^-1 * T2^4 * T1^-1 * T2 * T1)^2, T2^-2 * T1^-1 * T2^3 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^4 * T1^-1 * T2 * T1^-1 * T2^-1, T2 * T1^-1 * T2^-3 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 26, 13, 5)(2, 6, 14, 27, 49, 32, 16, 7)(4, 11, 22, 41, 60, 34, 17, 8)(10, 21, 40, 68, 100, 62, 35, 18)(12, 23, 43, 73, 114, 76, 44, 24)(15, 29, 52, 85, 130, 88, 53, 30)(20, 39, 67, 106, 151, 102, 63, 36)(25, 45, 77, 119, 170, 121, 78, 46)(28, 51, 84, 128, 177, 124, 80, 48)(31, 54, 89, 134, 190, 136, 90, 55)(33, 57, 92, 138, 195, 140, 93, 58)(38, 66, 105, 155, 213, 153, 103, 64)(42, 72, 112, 162, 222, 160, 110, 70)(47, 65, 104, 154, 214, 174, 122, 79)(50, 83, 127, 181, 242, 179, 125, 81)(56, 82, 126, 180, 243, 193, 137, 91)(59, 94, 141, 197, 257, 199, 142, 95)(61, 97, 144, 201, 183, 129, 86, 98)(69, 109, 75, 117, 167, 218, 157, 107)(71, 111, 161, 223, 259, 200, 143, 96)(74, 116, 87, 132, 187, 225, 163, 113)(99, 145, 203, 262, 305, 264, 204, 146)(101, 148, 206, 266, 253, 194, 139, 149)(108, 158, 219, 276, 306, 265, 205, 147)(115, 166, 212, 269, 308, 282, 226, 164)(118, 165, 227, 283, 315, 284, 229, 168)(120, 172, 123, 175, 235, 285, 230, 169)(131, 186, 241, 292, 320, 296, 246, 184)(133, 185, 247, 297, 323, 298, 249, 188)(135, 192, 159, 220, 277, 299, 250, 189)(150, 207, 267, 295, 286, 231, 171, 208)(152, 210, 224, 279, 303, 260, 202, 211)(156, 216, 273, 312, 325, 307, 268, 209)(173, 232, 287, 316, 329, 317, 288, 233)(176, 236, 290, 263, 300, 251, 191, 237)(178, 239, 245, 261, 304, 275, 228, 240)(182, 244, 294, 322, 331, 319, 291, 238)(196, 255, 221, 278, 314, 281, 302, 254)(198, 258, 217, 274, 313, 280, 248, 256)(215, 272, 311, 328, 334, 326, 309, 270)(234, 271, 310, 327, 335, 330, 318, 289)(252, 293, 321, 332, 336, 333, 324, 301)(337, 338, 340)(339, 344, 346)(341, 348, 342)(343, 351, 347)(345, 354, 356)(349, 361, 359)(350, 360, 364)(352, 367, 365)(353, 369, 357)(355, 372, 374)(358, 366, 378)(362, 383, 381)(363, 384, 386)(368, 392, 390)(370, 395, 393)(371, 397, 375)(373, 400, 401)(376, 394, 405)(377, 406, 407)(379, 382, 410)(380, 411, 387)(385, 417, 418)(388, 391, 422)(389, 423, 408)(396, 432, 430)(398, 435, 433)(399, 437, 402)(403, 434, 426)(404, 443, 444)(409, 449, 451)(412, 454, 453)(413, 415, 456)(414, 448, 452)(416, 459, 419)(420, 445, 429)(421, 465, 467)(424, 469, 468)(425, 427, 471)(428, 431, 475)(436, 483, 481)(438, 486, 484)(439, 488, 440)(441, 485, 478)(442, 472, 492)(446, 495, 447)(450, 500, 501)(455, 505, 507)(457, 509, 498)(458, 463, 508)(460, 512, 511)(461, 514, 462)(464, 476, 518)(466, 520, 521)(470, 525, 527)(473, 497, 528)(474, 530, 532)(477, 479, 534)(480, 482, 538)(487, 545, 543)(489, 548, 546)(490, 547, 540)(491, 535, 551)(493, 553, 494)(496, 557, 556)(499, 560, 502)(503, 504, 564)(506, 567, 568)(510, 570, 517)(513, 574, 572)(515, 577, 575)(516, 576, 565)(519, 581, 522)(523, 524, 584)(526, 587, 552)(529, 588, 559)(531, 590, 580)(533, 592, 585)(536, 555, 594)(537, 596, 597)(539, 541, 599)(542, 544, 566)(549, 606, 605)(550, 600, 607)(554, 611, 610)(558, 569, 614)(561, 616, 615)(562, 617, 563)(571, 573, 586)(578, 625, 628)(579, 620, 629)(582, 631, 583)(589, 613, 591)(593, 634, 608)(595, 637, 612)(598, 626, 627)(601, 609, 636)(602, 621, 635)(603, 604, 633)(618, 630, 638)(619, 650, 624)(622, 632, 623)(639, 649, 640)(641, 655, 646)(642, 660, 648)(643, 647, 659)(644, 645, 658)(651, 653, 657)(652, 656, 654)(661, 669, 664)(662, 663, 667)(665, 666, 668)(670, 672, 671)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4^3 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E8.402
Transitivity :: ET+
Graph:: simple bipartite
	v = 154 e = 336 f = 168
	degree seq :: [ 3^112, 8^42 ]

E8.395 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^8, (T1^-2 * T2 * T1^3 * T2 * T1^-1)^2, (T2 * T1^2 * T2 * T1^-2)^3 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 36)(24, 37)(25, 42)(26, 43)(27, 46)(29, 47)(31, 51)(32, 53)(34, 56)(38, 58)(39, 63)(40, 64)(41, 67)(44, 70)(45, 71)(48, 72)(49, 76)(50, 79)(52, 81)(54, 82)(55, 86)(57, 59)(60, 92)(61, 93)(62, 96)(65, 99)(66, 100)(68, 101)(69, 105)(73, 107)(74, 112)(75, 113)(77, 116)(78, 118)(80, 108)(83, 121)(84, 125)(85, 127)(87, 128)(88, 132)(89, 134)(90, 135)(91, 138)(94, 141)(95, 142)(97, 143)(98, 147)(102, 149)(103, 153)(104, 156)(106, 150)(109, 162)(110, 163)(111, 165)(114, 168)(115, 170)(117, 172)(119, 173)(120, 177)(122, 171)(123, 180)(124, 181)(126, 184)(129, 185)(130, 188)(131, 176)(133, 192)(136, 195)(137, 196)(139, 197)(140, 201)(144, 202)(145, 206)(146, 209)(148, 203)(151, 214)(152, 215)(154, 217)(155, 218)(157, 219)(158, 222)(159, 223)(160, 224)(161, 226)(164, 228)(166, 229)(167, 232)(169, 233)(174, 236)(175, 239)(178, 242)(179, 244)(182, 225)(183, 246)(186, 248)(187, 238)(189, 241)(190, 240)(191, 251)(193, 252)(194, 255)(198, 256)(199, 258)(200, 261)(204, 265)(205, 266)(207, 268)(208, 269)(210, 270)(211, 271)(212, 272)(213, 273)(216, 275)(220, 276)(221, 278)(227, 280)(230, 282)(231, 285)(234, 286)(235, 263)(237, 289)(243, 279)(245, 291)(247, 295)(249, 287)(250, 284)(253, 297)(254, 300)(257, 302)(259, 304)(260, 305)(262, 306)(264, 307)(267, 309)(274, 311)(277, 314)(281, 316)(283, 319)(288, 321)(290, 310)(292, 315)(293, 301)(294, 320)(296, 317)(298, 323)(299, 324)(303, 326)(308, 327)(312, 329)(313, 330)(318, 331)(322, 325)(328, 334)(332, 335)(333, 336)(337, 338, 341, 347, 357, 356, 346, 340)(339, 343, 351, 363, 381, 367, 353, 344)(342, 349, 361, 377, 402, 380, 362, 350)(345, 354, 368, 388, 413, 385, 365, 352)(348, 359, 375, 398, 431, 401, 376, 360)(355, 370, 391, 421, 462, 420, 390, 369)(358, 373, 396, 427, 473, 430, 397, 374)(364, 383, 410, 447, 500, 450, 411, 384)(366, 386, 414, 453, 490, 439, 404, 378)(371, 393, 424, 467, 525, 466, 423, 392)(372, 394, 425, 469, 527, 472, 426, 395)(379, 405, 440, 491, 543, 481, 433, 399)(382, 408, 445, 497, 537, 477, 446, 409)(387, 416, 456, 512, 576, 511, 455, 415)(389, 418, 459, 515, 579, 518, 460, 419)(400, 434, 482, 544, 595, 535, 475, 428)(403, 437, 487, 549, 591, 531, 488, 438)(406, 442, 494, 463, 521, 557, 493, 441)(407, 443, 495, 554, 612, 561, 496, 444)(412, 451, 505, 528, 588, 567, 502, 448)(417, 457, 514, 546, 483, 435, 484, 458)(422, 464, 522, 583, 630, 585, 523, 465)(429, 476, 536, 596, 634, 589, 529, 470)(432, 479, 540, 600, 584, 524, 541, 480)(436, 485, 547, 605, 568, 504, 548, 486)(449, 503, 545, 606, 646, 617, 563, 498)(452, 507, 571, 508, 572, 623, 570, 506)(454, 509, 573, 624, 650, 614, 574, 510)(461, 519, 534, 474, 533, 593, 581, 516)(468, 471, 530, 590, 635, 632, 586, 526)(478, 538, 598, 641, 611, 553, 599, 539)(489, 552, 597, 562, 616, 648, 610, 550)(492, 555, 613, 649, 626, 578, 517, 556)(499, 532, 592, 637, 660, 645, 604, 559)(501, 565, 619, 654, 625, 575, 620, 566)(513, 560, 615, 651, 659, 642, 602, 577)(520, 558, 608, 564, 618, 653, 629, 582)(542, 603, 636, 609, 647, 664, 644, 601)(551, 587, 569, 622, 656, 662, 640, 607)(580, 627, 658, 668, 655, 621, 633, 628)(594, 639, 631, 643, 663, 669, 661, 638)(652, 666, 657, 667, 671, 672, 670, 665)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 6, 6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E8.398
Transitivity :: ET+
Graph:: simple bipartite
	v = 210 e = 336 f = 112
	degree seq :: [ 2^168, 8^42 ]

E8.396 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^8, (T2 * T1^-3)^4, T2 * T1^3 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^2 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 36)(24, 37)(25, 42)(26, 43)(27, 46)(29, 47)(31, 51)(32, 53)(34, 56)(38, 58)(39, 63)(40, 64)(41, 67)(44, 70)(45, 71)(48, 72)(49, 76)(50, 79)(52, 81)(54, 82)(55, 86)(57, 59)(60, 92)(61, 93)(62, 96)(65, 99)(66, 100)(68, 101)(69, 105)(73, 107)(74, 112)(75, 113)(77, 116)(78, 118)(80, 108)(83, 121)(84, 125)(85, 127)(87, 128)(88, 132)(89, 134)(90, 135)(91, 138)(94, 141)(95, 142)(97, 143)(98, 147)(102, 149)(103, 153)(104, 156)(106, 150)(109, 162)(110, 163)(111, 145)(114, 167)(115, 169)(117, 171)(119, 139)(120, 174)(122, 170)(123, 151)(124, 177)(126, 180)(129, 181)(130, 161)(131, 185)(133, 188)(136, 191)(137, 192)(140, 195)(144, 197)(146, 202)(148, 198)(152, 207)(154, 210)(155, 211)(157, 189)(158, 214)(159, 216)(160, 217)(164, 221)(165, 222)(166, 224)(168, 226)(172, 229)(173, 231)(175, 190)(176, 233)(178, 236)(179, 237)(182, 238)(183, 194)(184, 240)(186, 203)(187, 242)(193, 245)(196, 246)(199, 251)(200, 252)(201, 253)(204, 256)(205, 258)(206, 259)(208, 262)(209, 263)(212, 265)(213, 267)(215, 270)(218, 257)(219, 272)(220, 273)(223, 276)(225, 275)(227, 271)(228, 280)(230, 264)(232, 277)(234, 283)(235, 284)(239, 281)(241, 287)(243, 288)(244, 289)(247, 292)(248, 293)(249, 295)(250, 296)(254, 300)(255, 301)(260, 294)(261, 303)(266, 299)(268, 305)(269, 307)(274, 309)(278, 298)(279, 311)(282, 290)(285, 304)(286, 310)(291, 318)(297, 317)(302, 322)(306, 315)(308, 323)(312, 316)(313, 324)(314, 321)(319, 327)(320, 330)(325, 331)(326, 328)(329, 334)(332, 335)(333, 336)(337, 338, 341, 347, 357, 356, 346, 340)(339, 343, 351, 363, 381, 367, 353, 344)(342, 349, 361, 377, 402, 380, 362, 350)(345, 354, 368, 388, 413, 385, 365, 352)(348, 359, 375, 398, 431, 401, 376, 360)(355, 370, 391, 421, 462, 420, 390, 369)(358, 373, 396, 427, 473, 430, 397, 374)(364, 383, 410, 447, 501, 450, 411, 384)(366, 386, 414, 453, 490, 439, 404, 378)(371, 393, 424, 467, 520, 466, 423, 392)(372, 394, 425, 469, 523, 472, 426, 395)(379, 405, 440, 491, 536, 481, 433, 399)(382, 408, 445, 497, 555, 500, 446, 409)(387, 416, 456, 509, 529, 474, 455, 415)(389, 418, 459, 489, 545, 514, 460, 419)(400, 434, 482, 537, 508, 454, 475, 428)(403, 437, 487, 461, 515, 544, 488, 438)(406, 442, 494, 549, 579, 524, 493, 441)(407, 443, 495, 551, 605, 554, 496, 444)(412, 451, 504, 535, 480, 432, 479, 448)(417, 457, 511, 527, 580, 570, 512, 458)(422, 464, 498, 449, 502, 559, 519, 465)(429, 476, 530, 583, 548, 492, 525, 470)(435, 484, 540, 591, 577, 521, 539, 483)(436, 485, 541, 593, 638, 596, 542, 486)(452, 506, 564, 615, 644, 606, 563, 505)(463, 517, 531, 477, 532, 584, 575, 518)(468, 471, 526, 513, 571, 590, 538, 522)(478, 533, 585, 630, 656, 633, 586, 534)(499, 556, 589, 636, 614, 562, 607, 552)(503, 561, 592, 632, 618, 567, 613, 560)(507, 565, 609, 557, 610, 646, 617, 566)(510, 553, 594, 543, 597, 628, 612, 568)(516, 574, 622, 649, 661, 647, 621, 573)(528, 581, 626, 653, 665, 655, 627, 582)(546, 600, 629, 654, 642, 603, 641, 599)(547, 601, 639, 598, 640, 616, 569, 602)(550, 595, 631, 587, 634, 620, 572, 604)(558, 588, 635, 619, 648, 657, 637, 611)(576, 623, 650, 662, 668, 660, 645, 608)(578, 624, 651, 663, 669, 664, 652, 625)(643, 659, 667, 671, 672, 670, 666, 658)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 6, 6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E8.397
Transitivity :: ET+
Graph:: simple bipartite
	v = 210 e = 336 f = 112
	degree seq :: [ 2^168, 8^42 ]

E8.397 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^8, (T1 * T2 * T1 * T2^-1)^4, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 337, 3, 339, 4, 340)(2, 338, 5, 341, 6, 342)(7, 343, 11, 347, 12, 348)(8, 344, 13, 349, 14, 350)(9, 345, 15, 351, 16, 352)(10, 346, 17, 353, 18, 354)(19, 355, 27, 363, 28, 364)(20, 356, 29, 365, 30, 366)(21, 357, 31, 367, 32, 368)(22, 358, 33, 369, 34, 370)(23, 359, 35, 371, 36, 372)(24, 360, 37, 373, 38, 374)(25, 361, 39, 375, 40, 376)(26, 362, 41, 377, 42, 378)(43, 379, 59, 395, 60, 396)(44, 380, 61, 397, 62, 398)(45, 381, 63, 399, 64, 400)(46, 382, 65, 401, 66, 402)(47, 383, 67, 403, 68, 404)(48, 384, 69, 405, 70, 406)(49, 385, 71, 407, 72, 408)(50, 386, 73, 409, 74, 410)(51, 387, 75, 411, 76, 412)(52, 388, 77, 413, 78, 414)(53, 389, 79, 415, 80, 416)(54, 390, 81, 417, 82, 418)(55, 391, 83, 419, 84, 420)(56, 392, 85, 421, 86, 422)(57, 393, 87, 423, 88, 424)(58, 394, 89, 425, 90, 426)(91, 427, 115, 451, 116, 452)(92, 428, 117, 453, 101, 437)(93, 429, 118, 454, 119, 455)(94, 430, 120, 456, 121, 457)(95, 431, 122, 458, 123, 459)(96, 432, 124, 460, 97, 433)(98, 434, 125, 461, 126, 462)(99, 435, 127, 463, 128, 464)(100, 436, 129, 465, 130, 466)(102, 438, 131, 467, 132, 468)(103, 439, 133, 469, 134, 470)(104, 440, 135, 471, 113, 449)(105, 441, 136, 472, 137, 473)(106, 442, 138, 474, 139, 475)(107, 443, 140, 476, 141, 477)(108, 444, 142, 478, 109, 445)(110, 446, 143, 479, 144, 480)(111, 447, 145, 481, 146, 482)(112, 448, 147, 483, 148, 484)(114, 450, 149, 485, 150, 486)(151, 487, 253, 589, 159, 495)(152, 488, 254, 590, 296, 632)(153, 489, 255, 591, 308, 644)(154, 490, 174, 510, 192, 528)(155, 491, 236, 572, 156, 492)(157, 493, 205, 541, 175, 511)(158, 494, 259, 595, 291, 627)(160, 496, 203, 539, 197, 533)(161, 497, 261, 597, 168, 504)(162, 498, 262, 598, 289, 625)(163, 499, 178, 514, 202, 538)(164, 500, 250, 586, 165, 501)(166, 502, 193, 529, 170, 506)(167, 503, 266, 602, 299, 635)(169, 505, 191, 527, 189, 525)(171, 507, 182, 518, 180, 516)(172, 508, 188, 524, 186, 522)(173, 509, 179, 515, 177, 513)(176, 512, 214, 550, 212, 548)(181, 517, 209, 545, 207, 543)(183, 519, 230, 566, 228, 564)(184, 520, 208, 544, 233, 569)(185, 521, 244, 580, 240, 576)(187, 523, 226, 562, 201, 537)(190, 526, 231, 567, 217, 553)(194, 530, 246, 582, 223, 559)(195, 531, 310, 646, 278, 614)(196, 532, 312, 648, 285, 621)(198, 534, 315, 651, 274, 610)(199, 535, 316, 652, 290, 626)(200, 536, 243, 579, 210, 546)(204, 540, 320, 656, 257, 593)(206, 542, 307, 643, 264, 600)(211, 547, 325, 661, 298, 634)(213, 549, 301, 637, 322, 658)(215, 551, 328, 664, 268, 604)(216, 552, 329, 665, 227, 563)(218, 554, 324, 660, 272, 608)(219, 555, 330, 666, 302, 638)(220, 556, 331, 667, 232, 568)(221, 557, 332, 668, 270, 606)(222, 558, 333, 669, 238, 574)(224, 560, 319, 655, 276, 612)(225, 561, 334, 670, 248, 584)(229, 565, 288, 624, 327, 663)(234, 570, 297, 633, 335, 671)(235, 571, 311, 647, 241, 577)(237, 573, 306, 642, 293, 629)(239, 575, 279, 615, 286, 622)(242, 578, 283, 619, 258, 594)(245, 581, 294, 630, 251, 587)(247, 583, 282, 618, 284, 620)(249, 585, 295, 631, 304, 640)(252, 588, 256, 592, 336, 672)(260, 596, 326, 662, 280, 616)(263, 599, 323, 659, 314, 650)(265, 601, 305, 641, 287, 623)(267, 603, 271, 607, 273, 609)(269, 605, 275, 611, 277, 613)(281, 617, 313, 649, 321, 657)(292, 628, 303, 639, 300, 636)(309, 645, 318, 654, 317, 653)
	L = (1, 338)(2, 337)(3, 343)(4, 344)(5, 345)(6, 346)(7, 339)(8, 340)(9, 341)(10, 342)(11, 355)(12, 356)(13, 357)(14, 358)(15, 359)(16, 360)(17, 361)(18, 362)(19, 347)(20, 348)(21, 349)(22, 350)(23, 351)(24, 352)(25, 353)(26, 354)(27, 379)(28, 380)(29, 381)(30, 382)(31, 383)(32, 384)(33, 385)(34, 386)(35, 387)(36, 388)(37, 389)(38, 390)(39, 391)(40, 392)(41, 393)(42, 394)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 426)(60, 427)(61, 428)(62, 429)(63, 430)(64, 416)(65, 431)(66, 432)(67, 433)(68, 434)(69, 421)(70, 435)(71, 436)(72, 437)(73, 438)(74, 411)(75, 410)(76, 439)(77, 440)(78, 441)(79, 442)(80, 400)(81, 443)(82, 444)(83, 445)(84, 446)(85, 405)(86, 447)(87, 448)(88, 449)(89, 450)(90, 395)(91, 396)(92, 397)(93, 398)(94, 399)(95, 401)(96, 402)(97, 403)(98, 404)(99, 406)(100, 407)(101, 408)(102, 409)(103, 412)(104, 413)(105, 414)(106, 415)(107, 417)(108, 418)(109, 419)(110, 420)(111, 422)(112, 423)(113, 424)(114, 425)(115, 487)(116, 488)(117, 489)(118, 490)(119, 491)(120, 492)(121, 493)(122, 494)(123, 495)(124, 496)(125, 497)(126, 498)(127, 499)(128, 500)(129, 501)(130, 502)(131, 503)(132, 504)(133, 571)(134, 573)(135, 555)(136, 522)(137, 523)(138, 537)(139, 550)(140, 575)(141, 577)(142, 579)(143, 581)(144, 583)(145, 543)(146, 544)(147, 520)(148, 527)(149, 585)(150, 587)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 603)(170, 605)(171, 607)(172, 609)(173, 611)(174, 613)(175, 615)(176, 595)(177, 618)(178, 620)(179, 622)(180, 598)(181, 625)(182, 627)(183, 602)(184, 483)(185, 631)(186, 472)(187, 473)(188, 635)(189, 590)(190, 632)(191, 484)(192, 640)(193, 642)(194, 629)(195, 645)(196, 647)(197, 649)(198, 599)(199, 589)(200, 596)(201, 474)(202, 654)(203, 653)(204, 630)(205, 657)(206, 617)(207, 481)(208, 482)(209, 659)(210, 650)(211, 597)(212, 662)(213, 616)(214, 475)(215, 558)(216, 557)(217, 591)(218, 592)(219, 471)(220, 561)(221, 552)(222, 551)(223, 666)(224, 633)(225, 556)(226, 669)(227, 574)(228, 668)(229, 606)(230, 644)(231, 672)(232, 588)(233, 670)(234, 584)(235, 469)(236, 665)(237, 470)(238, 563)(239, 476)(240, 664)(241, 477)(242, 604)(243, 478)(244, 638)(245, 479)(246, 671)(247, 480)(248, 570)(249, 485)(250, 667)(251, 486)(252, 568)(253, 535)(254, 525)(255, 553)(256, 554)(257, 652)(258, 637)(259, 512)(260, 536)(261, 547)(262, 516)(263, 534)(264, 661)(265, 624)(266, 519)(267, 505)(268, 578)(269, 506)(270, 565)(271, 507)(272, 641)(273, 508)(274, 655)(275, 509)(276, 636)(277, 510)(278, 660)(279, 511)(280, 549)(281, 542)(282, 513)(283, 639)(284, 514)(285, 651)(286, 515)(287, 628)(288, 601)(289, 517)(290, 646)(291, 518)(292, 623)(293, 530)(294, 540)(295, 521)(296, 526)(297, 560)(298, 648)(299, 524)(300, 612)(301, 594)(302, 580)(303, 619)(304, 528)(305, 608)(306, 529)(307, 663)(308, 566)(309, 531)(310, 626)(311, 532)(312, 634)(313, 533)(314, 546)(315, 621)(316, 593)(317, 539)(318, 538)(319, 610)(320, 658)(321, 541)(322, 656)(323, 545)(324, 614)(325, 600)(326, 548)(327, 643)(328, 576)(329, 572)(330, 559)(331, 586)(332, 564)(333, 562)(334, 569)(335, 582)(336, 567)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.396
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 112 e = 336 f = 210
	degree seq :: [ 6^112 ]

E8.398 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^8, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^3 ]
Map::
	R = (1, 337, 3, 339, 4, 340)(2, 338, 5, 341, 6, 342)(7, 343, 11, 347, 12, 348)(8, 344, 13, 349, 14, 350)(9, 345, 15, 351, 16, 352)(10, 346, 17, 353, 18, 354)(19, 355, 27, 363, 28, 364)(20, 356, 29, 365, 30, 366)(21, 357, 31, 367, 32, 368)(22, 358, 33, 369, 34, 370)(23, 359, 35, 371, 36, 372)(24, 360, 37, 373, 38, 374)(25, 361, 39, 375, 40, 376)(26, 362, 41, 377, 42, 378)(43, 379, 59, 395, 60, 396)(44, 380, 61, 397, 62, 398)(45, 381, 63, 399, 64, 400)(46, 382, 65, 401, 66, 402)(47, 383, 67, 403, 68, 404)(48, 384, 69, 405, 70, 406)(49, 385, 71, 407, 72, 408)(50, 386, 73, 409, 74, 410)(51, 387, 75, 411, 76, 412)(52, 388, 77, 413, 78, 414)(53, 389, 79, 415, 80, 416)(54, 390, 81, 417, 82, 418)(55, 391, 83, 419, 84, 420)(56, 392, 85, 421, 86, 422)(57, 393, 87, 423, 88, 424)(58, 394, 89, 425, 90, 426)(91, 427, 119, 455, 120, 456)(92, 428, 121, 457, 122, 458)(93, 429, 123, 459, 124, 460)(94, 430, 125, 461, 126, 462)(95, 431, 127, 463, 128, 464)(96, 432, 129, 465, 130, 466)(97, 433, 131, 467, 98, 434)(99, 435, 132, 468, 133, 469)(100, 436, 134, 470, 135, 471)(101, 437, 136, 472, 137, 473)(102, 438, 138, 474, 139, 475)(103, 439, 140, 476, 141, 477)(104, 440, 142, 478, 143, 479)(105, 441, 144, 480, 145, 481)(106, 442, 146, 482, 147, 483)(107, 443, 148, 484, 149, 485)(108, 444, 150, 486, 151, 487)(109, 445, 152, 488, 153, 489)(110, 446, 154, 490, 155, 491)(111, 447, 156, 492, 112, 448)(113, 449, 157, 493, 158, 494)(114, 450, 159, 495, 160, 496)(115, 451, 161, 497, 162, 498)(116, 452, 163, 499, 164, 500)(117, 453, 165, 501, 166, 502)(118, 454, 167, 503, 168, 504)(169, 505, 219, 555, 220, 556)(170, 506, 221, 557, 222, 558)(171, 507, 223, 559, 224, 560)(172, 508, 225, 561, 226, 562)(173, 509, 227, 563, 228, 564)(174, 510, 229, 565, 175, 511)(176, 512, 230, 566, 231, 567)(177, 513, 232, 568, 233, 569)(178, 514, 234, 570, 235, 571)(179, 515, 236, 572, 237, 573)(180, 516, 238, 574, 239, 575)(181, 517, 240, 576, 241, 577)(182, 518, 242, 578, 243, 579)(183, 519, 244, 580, 245, 581)(184, 520, 246, 582, 247, 583)(185, 521, 248, 584, 249, 585)(186, 522, 250, 586, 251, 587)(187, 523, 252, 588, 188, 524)(189, 525, 253, 589, 254, 590)(190, 526, 255, 591, 256, 592)(191, 527, 257, 593, 258, 594)(192, 528, 259, 595, 260, 596)(193, 529, 261, 597, 262, 598)(194, 530, 263, 599, 264, 600)(195, 531, 265, 601, 266, 602)(196, 532, 267, 603, 268, 604)(197, 533, 269, 605, 270, 606)(198, 534, 271, 607, 272, 608)(199, 535, 273, 609, 200, 536)(201, 537, 274, 610, 275, 611)(202, 538, 276, 612, 277, 613)(203, 539, 278, 614, 279, 615)(204, 540, 280, 616, 281, 617)(205, 541, 282, 618, 283, 619)(206, 542, 284, 620, 285, 621)(207, 543, 286, 622, 287, 623)(208, 544, 288, 624, 289, 625)(209, 545, 290, 626, 291, 627)(210, 546, 292, 628, 293, 629)(211, 547, 294, 630, 295, 631)(212, 548, 296, 632, 213, 549)(214, 550, 297, 633, 298, 634)(215, 551, 299, 635, 300, 636)(216, 552, 301, 637, 302, 638)(217, 553, 303, 639, 304, 640)(218, 554, 305, 641, 306, 642)(307, 643, 327, 663, 312, 648)(308, 644, 315, 651, 328, 664)(309, 645, 329, 665, 314, 650)(310, 646, 313, 649, 330, 666)(311, 647, 331, 667, 316, 652)(317, 653, 332, 668, 322, 658)(318, 654, 325, 661, 333, 669)(319, 655, 334, 670, 324, 660)(320, 656, 323, 659, 335, 671)(321, 657, 336, 672, 326, 662)
	L = (1, 338)(2, 337)(3, 343)(4, 344)(5, 345)(6, 346)(7, 339)(8, 340)(9, 341)(10, 342)(11, 355)(12, 356)(13, 357)(14, 358)(15, 359)(16, 360)(17, 361)(18, 362)(19, 347)(20, 348)(21, 349)(22, 350)(23, 351)(24, 352)(25, 353)(26, 354)(27, 379)(28, 380)(29, 381)(30, 382)(31, 383)(32, 384)(33, 385)(34, 386)(35, 387)(36, 388)(37, 389)(38, 390)(39, 391)(40, 392)(41, 393)(42, 394)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 426)(60, 427)(61, 428)(62, 429)(63, 430)(64, 431)(65, 432)(66, 433)(67, 434)(68, 435)(69, 436)(70, 437)(71, 438)(72, 439)(73, 440)(74, 411)(75, 410)(76, 441)(77, 442)(78, 443)(79, 444)(80, 445)(81, 446)(82, 447)(83, 448)(84, 449)(85, 450)(86, 451)(87, 452)(88, 453)(89, 454)(90, 395)(91, 396)(92, 397)(93, 398)(94, 399)(95, 400)(96, 401)(97, 402)(98, 403)(99, 404)(100, 405)(101, 406)(102, 407)(103, 408)(104, 409)(105, 412)(106, 413)(107, 414)(108, 415)(109, 416)(110, 417)(111, 418)(112, 419)(113, 420)(114, 421)(115, 422)(116, 423)(117, 424)(118, 425)(119, 505)(120, 506)(121, 507)(122, 508)(123, 509)(124, 510)(125, 511)(126, 512)(127, 513)(128, 514)(129, 515)(130, 516)(131, 517)(132, 518)(133, 519)(134, 520)(135, 521)(136, 522)(137, 523)(138, 524)(139, 525)(140, 526)(141, 527)(142, 528)(143, 529)(144, 530)(145, 531)(146, 532)(147, 533)(148, 534)(149, 535)(150, 536)(151, 537)(152, 538)(153, 539)(154, 540)(155, 541)(156, 542)(157, 543)(158, 544)(159, 545)(160, 546)(161, 547)(162, 548)(163, 549)(164, 550)(165, 551)(166, 552)(167, 553)(168, 554)(169, 455)(170, 456)(171, 457)(172, 458)(173, 459)(174, 460)(175, 461)(176, 462)(177, 463)(178, 464)(179, 465)(180, 466)(181, 467)(182, 468)(183, 469)(184, 470)(185, 471)(186, 472)(187, 473)(188, 474)(189, 475)(190, 476)(191, 477)(192, 478)(193, 479)(194, 480)(195, 481)(196, 482)(197, 483)(198, 484)(199, 485)(200, 486)(201, 487)(202, 488)(203, 489)(204, 490)(205, 491)(206, 492)(207, 493)(208, 494)(209, 495)(210, 496)(211, 497)(212, 498)(213, 499)(214, 500)(215, 501)(216, 502)(217, 503)(218, 504)(219, 616)(220, 615)(221, 603)(222, 602)(223, 601)(224, 630)(225, 629)(226, 643)(227, 607)(228, 622)(229, 621)(230, 644)(231, 637)(232, 636)(233, 645)(234, 646)(235, 600)(236, 599)(237, 624)(238, 647)(239, 633)(240, 632)(241, 609)(242, 608)(243, 648)(244, 617)(245, 642)(246, 641)(247, 649)(248, 650)(249, 605)(250, 604)(251, 651)(252, 620)(253, 619)(254, 634)(255, 652)(256, 612)(257, 611)(258, 640)(259, 639)(260, 638)(261, 626)(262, 625)(263, 572)(264, 571)(265, 559)(266, 558)(267, 557)(268, 586)(269, 585)(270, 653)(271, 563)(272, 578)(273, 577)(274, 654)(275, 593)(276, 592)(277, 655)(278, 656)(279, 556)(280, 555)(281, 580)(282, 657)(283, 589)(284, 588)(285, 565)(286, 564)(287, 658)(288, 573)(289, 598)(290, 597)(291, 659)(292, 660)(293, 561)(294, 560)(295, 661)(296, 576)(297, 575)(298, 590)(299, 662)(300, 568)(301, 567)(302, 596)(303, 595)(304, 594)(305, 582)(306, 581)(307, 562)(308, 566)(309, 569)(310, 570)(311, 574)(312, 579)(313, 583)(314, 584)(315, 587)(316, 591)(317, 606)(318, 610)(319, 613)(320, 614)(321, 618)(322, 623)(323, 627)(324, 628)(325, 631)(326, 635)(327, 672)(328, 671)(329, 670)(330, 669)(331, 668)(332, 667)(333, 666)(334, 665)(335, 664)(336, 663)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.395
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 112 e = 336 f = 210
	degree seq :: [ 6^112 ]

E8.399 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2^8, T2^2 * T1^-1 * T2^-3 * T1 * T2^3 * T1^-1 * T2^4 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1 ]
Map::
	R = (1, 337, 3, 339, 9, 345, 19, 355, 37, 373, 26, 362, 13, 349, 5, 341)(2, 338, 6, 342, 14, 350, 27, 363, 49, 385, 32, 368, 16, 352, 7, 343)(4, 340, 11, 347, 22, 358, 41, 377, 60, 396, 34, 370, 17, 353, 8, 344)(10, 346, 21, 357, 40, 376, 68, 404, 100, 436, 62, 398, 35, 371, 18, 354)(12, 348, 23, 359, 43, 379, 73, 409, 115, 451, 76, 412, 44, 380, 24, 360)(15, 351, 29, 365, 52, 388, 85, 421, 134, 470, 88, 424, 53, 389, 30, 366)(20, 356, 39, 375, 67, 403, 106, 442, 160, 496, 102, 438, 63, 399, 36, 372)(25, 361, 45, 381, 77, 413, 121, 457, 186, 522, 124, 460, 78, 414, 46, 382)(28, 364, 51, 387, 84, 420, 131, 467, 197, 533, 127, 463, 80, 416, 48, 384)(31, 367, 54, 390, 89, 425, 140, 476, 215, 551, 143, 479, 90, 426, 55, 391)(33, 369, 57, 393, 92, 428, 145, 481, 224, 560, 148, 484, 93, 429, 58, 394)(38, 374, 66, 402, 105, 441, 164, 500, 248, 584, 162, 498, 103, 439, 64, 400)(42, 378, 72, 408, 113, 449, 175, 511, 247, 583, 173, 509, 111, 447, 70, 406)(47, 383, 65, 401, 104, 440, 163, 499, 216, 552, 193, 529, 125, 461, 79, 415)(50, 386, 83, 419, 130, 466, 201, 537, 159, 495, 199, 535, 128, 464, 81, 417)(56, 392, 82, 418, 129, 465, 200, 536, 225, 561, 222, 558, 144, 480, 91, 427)(59, 395, 94, 430, 149, 485, 230, 566, 187, 523, 233, 569, 150, 486, 95, 431)(61, 397, 97, 433, 152, 488, 235, 571, 263, 599, 238, 574, 153, 489, 98, 434)(69, 405, 110, 446, 171, 507, 258, 594, 192, 528, 256, 592, 169, 505, 108, 444)(71, 407, 112, 448, 174, 510, 262, 598, 196, 532, 234, 570, 151, 487, 96, 432)(74, 410, 117, 453, 181, 517, 270, 606, 221, 557, 268, 604, 177, 513, 114, 450)(75, 411, 118, 454, 182, 518, 249, 585, 165, 501, 251, 587, 183, 519, 119, 455)(86, 422, 136, 472, 210, 546, 291, 627, 232, 568, 290, 626, 206, 542, 133, 469)(87, 423, 137, 473, 211, 547, 284, 620, 202, 538, 285, 621, 212, 548, 138, 474)(99, 435, 154, 490, 239, 575, 178, 514, 116, 452, 180, 516, 240, 576, 155, 491)(101, 437, 157, 493, 242, 578, 293, 629, 312, 648, 308, 644, 243, 579, 158, 494)(107, 443, 168, 504, 254, 590, 190, 526, 123, 459, 189, 525, 252, 588, 166, 502)(109, 445, 170, 506, 257, 593, 213, 549, 139, 475, 208, 544, 241, 577, 156, 492)(120, 456, 179, 515, 269, 605, 207, 543, 135, 471, 209, 545, 274, 610, 184, 520)(122, 458, 188, 524, 277, 613, 320, 656, 319, 655, 289, 625, 275, 611, 185, 521)(126, 462, 194, 530, 280, 616, 236, 572, 302, 638, 323, 659, 281, 617, 195, 531)(132, 468, 205, 541, 288, 624, 219, 555, 142, 478, 218, 554, 286, 622, 203, 539)(141, 477, 217, 553, 295, 631, 327, 663, 311, 647, 255, 591, 279, 615, 214, 550)(146, 482, 226, 562, 298, 634, 329, 665, 306, 642, 267, 603, 297, 633, 223, 559)(147, 483, 227, 563, 299, 635, 264, 600, 176, 512, 266, 602, 300, 636, 228, 564)(161, 497, 245, 581, 265, 601, 315, 651, 328, 664, 296, 632, 220, 556, 246, 582)(167, 503, 253, 589, 309, 645, 301, 637, 229, 565, 283, 619, 198, 534, 244, 580)(172, 508, 260, 596, 250, 586, 272, 608, 317, 653, 332, 668, 305, 641, 261, 597)(191, 527, 276, 612, 231, 567, 282, 618, 204, 540, 287, 623, 321, 657, 278, 614)(237, 573, 303, 639, 330, 666, 313, 649, 259, 595, 314, 650, 331, 667, 304, 640)(271, 607, 310, 646, 334, 670, 318, 654, 273, 609, 307, 643, 333, 669, 316, 652)(292, 628, 324, 660, 336, 672, 326, 662, 294, 630, 322, 658, 335, 671, 325, 661)
	L = (1, 338)(2, 340)(3, 344)(4, 337)(5, 348)(6, 341)(7, 351)(8, 346)(9, 354)(10, 339)(11, 343)(12, 342)(13, 361)(14, 360)(15, 347)(16, 367)(17, 369)(18, 356)(19, 372)(20, 345)(21, 353)(22, 366)(23, 349)(24, 364)(25, 359)(26, 383)(27, 384)(28, 350)(29, 352)(30, 378)(31, 365)(32, 392)(33, 357)(34, 395)(35, 397)(36, 374)(37, 400)(38, 355)(39, 371)(40, 394)(41, 406)(42, 358)(43, 382)(44, 411)(45, 362)(46, 410)(47, 381)(48, 386)(49, 417)(50, 363)(51, 380)(52, 391)(53, 423)(54, 368)(55, 422)(56, 390)(57, 370)(58, 405)(59, 393)(60, 432)(61, 375)(62, 435)(63, 437)(64, 401)(65, 373)(66, 399)(67, 434)(68, 444)(69, 376)(70, 407)(71, 377)(72, 389)(73, 450)(74, 379)(75, 387)(76, 456)(77, 415)(78, 459)(79, 458)(80, 462)(81, 418)(82, 385)(83, 416)(84, 455)(85, 469)(86, 388)(87, 408)(88, 475)(89, 427)(90, 478)(91, 477)(92, 431)(93, 483)(94, 396)(95, 482)(96, 430)(97, 398)(98, 443)(99, 433)(100, 492)(101, 402)(102, 495)(103, 497)(104, 439)(105, 494)(106, 502)(107, 403)(108, 445)(109, 404)(110, 429)(111, 508)(112, 447)(113, 474)(114, 452)(115, 514)(116, 409)(117, 414)(118, 412)(119, 468)(120, 454)(121, 521)(122, 413)(123, 453)(124, 527)(125, 528)(126, 419)(127, 532)(128, 534)(129, 464)(130, 531)(131, 539)(132, 420)(133, 471)(134, 543)(135, 421)(136, 426)(137, 424)(138, 512)(139, 473)(140, 550)(141, 425)(142, 472)(143, 556)(144, 557)(145, 559)(146, 428)(147, 446)(148, 565)(149, 487)(150, 568)(151, 567)(152, 491)(153, 573)(154, 436)(155, 572)(156, 490)(157, 438)(158, 501)(159, 493)(160, 580)(161, 440)(162, 583)(163, 582)(164, 585)(165, 441)(166, 503)(167, 442)(168, 489)(169, 591)(170, 505)(171, 564)(172, 448)(173, 584)(174, 597)(175, 600)(176, 449)(177, 603)(178, 515)(179, 451)(180, 513)(181, 526)(182, 520)(183, 609)(184, 608)(185, 523)(186, 566)(187, 457)(188, 461)(189, 460)(190, 607)(191, 525)(192, 524)(193, 615)(194, 463)(195, 538)(196, 530)(197, 618)(198, 465)(199, 496)(200, 619)(201, 620)(202, 466)(203, 540)(204, 467)(205, 519)(206, 625)(207, 544)(208, 470)(209, 542)(210, 555)(211, 549)(212, 630)(213, 629)(214, 552)(215, 499)(216, 476)(217, 480)(218, 479)(219, 628)(220, 554)(221, 553)(222, 633)(223, 561)(224, 536)(225, 481)(226, 486)(227, 484)(228, 595)(229, 563)(230, 612)(231, 485)(232, 562)(233, 611)(234, 533)(235, 616)(236, 488)(237, 504)(238, 641)(239, 577)(240, 642)(241, 605)(242, 537)(243, 643)(244, 535)(245, 498)(246, 551)(247, 581)(248, 596)(249, 586)(250, 500)(251, 579)(252, 614)(253, 588)(254, 640)(255, 506)(256, 529)(257, 647)(258, 649)(259, 507)(260, 509)(261, 599)(262, 571)(263, 510)(264, 601)(265, 511)(266, 548)(267, 516)(268, 558)(269, 575)(270, 652)(271, 517)(272, 518)(273, 541)(274, 655)(275, 626)(276, 522)(277, 594)(278, 589)(279, 592)(280, 598)(281, 658)(282, 570)(283, 560)(284, 578)(285, 617)(286, 632)(287, 622)(288, 654)(289, 545)(290, 569)(291, 661)(292, 546)(293, 547)(294, 602)(295, 606)(296, 623)(297, 604)(298, 627)(299, 637)(300, 662)(301, 651)(302, 576)(303, 574)(304, 646)(305, 639)(306, 638)(307, 587)(308, 663)(309, 657)(310, 590)(311, 648)(312, 593)(313, 613)(314, 636)(315, 635)(316, 631)(317, 610)(318, 660)(319, 653)(320, 666)(321, 664)(322, 621)(323, 665)(324, 624)(325, 634)(326, 650)(327, 669)(328, 645)(329, 671)(330, 668)(331, 672)(332, 656)(333, 644)(334, 667)(335, 659)(336, 670)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E8.392
Transitivity :: ET+ VT+ AT
Graph::
	v = 42 e = 336 f = 280
	degree seq :: [ 16^42 ]

E8.400 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^2 * T1^-1)^4, (T2 * T1^-1 * T2^4 * T1^-1 * T2 * T1)^2, T2^-2 * T1^-1 * T2^3 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^4 * T1^-1 * T2 * T1^-1 * T2^-1, T2 * T1^-1 * T2^-3 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1^-1 ]
Map::
	R = (1, 337, 3, 339, 9, 345, 19, 355, 37, 373, 26, 362, 13, 349, 5, 341)(2, 338, 6, 342, 14, 350, 27, 363, 49, 385, 32, 368, 16, 352, 7, 343)(4, 340, 11, 347, 22, 358, 41, 377, 60, 396, 34, 370, 17, 353, 8, 344)(10, 346, 21, 357, 40, 376, 68, 404, 100, 436, 62, 398, 35, 371, 18, 354)(12, 348, 23, 359, 43, 379, 73, 409, 114, 450, 76, 412, 44, 380, 24, 360)(15, 351, 29, 365, 52, 388, 85, 421, 130, 466, 88, 424, 53, 389, 30, 366)(20, 356, 39, 375, 67, 403, 106, 442, 151, 487, 102, 438, 63, 399, 36, 372)(25, 361, 45, 381, 77, 413, 119, 455, 170, 506, 121, 457, 78, 414, 46, 382)(28, 364, 51, 387, 84, 420, 128, 464, 177, 513, 124, 460, 80, 416, 48, 384)(31, 367, 54, 390, 89, 425, 134, 470, 190, 526, 136, 472, 90, 426, 55, 391)(33, 369, 57, 393, 92, 428, 138, 474, 195, 531, 140, 476, 93, 429, 58, 394)(38, 374, 66, 402, 105, 441, 155, 491, 213, 549, 153, 489, 103, 439, 64, 400)(42, 378, 72, 408, 112, 448, 162, 498, 222, 558, 160, 496, 110, 446, 70, 406)(47, 383, 65, 401, 104, 440, 154, 490, 214, 550, 174, 510, 122, 458, 79, 415)(50, 386, 83, 419, 127, 463, 181, 517, 242, 578, 179, 515, 125, 461, 81, 417)(56, 392, 82, 418, 126, 462, 180, 516, 243, 579, 193, 529, 137, 473, 91, 427)(59, 395, 94, 430, 141, 477, 197, 533, 257, 593, 199, 535, 142, 478, 95, 431)(61, 397, 97, 433, 144, 480, 201, 537, 183, 519, 129, 465, 86, 422, 98, 434)(69, 405, 109, 445, 75, 411, 117, 453, 167, 503, 218, 554, 157, 493, 107, 443)(71, 407, 111, 447, 161, 497, 223, 559, 259, 595, 200, 536, 143, 479, 96, 432)(74, 410, 116, 452, 87, 423, 132, 468, 187, 523, 225, 561, 163, 499, 113, 449)(99, 435, 145, 481, 203, 539, 262, 598, 305, 641, 264, 600, 204, 540, 146, 482)(101, 437, 148, 484, 206, 542, 266, 602, 253, 589, 194, 530, 139, 475, 149, 485)(108, 444, 158, 494, 219, 555, 276, 612, 306, 642, 265, 601, 205, 541, 147, 483)(115, 451, 166, 502, 212, 548, 269, 605, 308, 644, 282, 618, 226, 562, 164, 500)(118, 454, 165, 501, 227, 563, 283, 619, 315, 651, 284, 620, 229, 565, 168, 504)(120, 456, 172, 508, 123, 459, 175, 511, 235, 571, 285, 621, 230, 566, 169, 505)(131, 467, 186, 522, 241, 577, 292, 628, 320, 656, 296, 632, 246, 582, 184, 520)(133, 469, 185, 521, 247, 583, 297, 633, 323, 659, 298, 634, 249, 585, 188, 524)(135, 471, 192, 528, 159, 495, 220, 556, 277, 613, 299, 635, 250, 586, 189, 525)(150, 486, 207, 543, 267, 603, 295, 631, 286, 622, 231, 567, 171, 507, 208, 544)(152, 488, 210, 546, 224, 560, 279, 615, 303, 639, 260, 596, 202, 538, 211, 547)(156, 492, 216, 552, 273, 609, 312, 648, 325, 661, 307, 643, 268, 604, 209, 545)(173, 509, 232, 568, 287, 623, 316, 652, 329, 665, 317, 653, 288, 624, 233, 569)(176, 512, 236, 572, 290, 626, 263, 599, 300, 636, 251, 587, 191, 527, 237, 573)(178, 514, 239, 575, 245, 581, 261, 597, 304, 640, 275, 611, 228, 564, 240, 576)(182, 518, 244, 580, 294, 630, 322, 658, 331, 667, 319, 655, 291, 627, 238, 574)(196, 532, 255, 591, 221, 557, 278, 614, 314, 650, 281, 617, 302, 638, 254, 590)(198, 534, 258, 594, 217, 553, 274, 610, 313, 649, 280, 616, 248, 584, 256, 592)(215, 551, 272, 608, 311, 647, 328, 664, 334, 670, 326, 662, 309, 645, 270, 606)(234, 570, 271, 607, 310, 646, 327, 663, 335, 671, 330, 666, 318, 654, 289, 625)(252, 588, 293, 629, 321, 657, 332, 668, 336, 672, 333, 669, 324, 660, 301, 637)
	L = (1, 338)(2, 340)(3, 344)(4, 337)(5, 348)(6, 341)(7, 351)(8, 346)(9, 354)(10, 339)(11, 343)(12, 342)(13, 361)(14, 360)(15, 347)(16, 367)(17, 369)(18, 356)(19, 372)(20, 345)(21, 353)(22, 366)(23, 349)(24, 364)(25, 359)(26, 383)(27, 384)(28, 350)(29, 352)(30, 378)(31, 365)(32, 392)(33, 357)(34, 395)(35, 397)(36, 374)(37, 400)(38, 355)(39, 371)(40, 394)(41, 406)(42, 358)(43, 382)(44, 411)(45, 362)(46, 410)(47, 381)(48, 386)(49, 417)(50, 363)(51, 380)(52, 391)(53, 423)(54, 368)(55, 422)(56, 390)(57, 370)(58, 405)(59, 393)(60, 432)(61, 375)(62, 435)(63, 437)(64, 401)(65, 373)(66, 399)(67, 434)(68, 443)(69, 376)(70, 407)(71, 377)(72, 389)(73, 449)(74, 379)(75, 387)(76, 454)(77, 415)(78, 448)(79, 456)(80, 459)(81, 418)(82, 385)(83, 416)(84, 445)(85, 465)(86, 388)(87, 408)(88, 469)(89, 427)(90, 403)(91, 471)(92, 431)(93, 420)(94, 396)(95, 475)(96, 430)(97, 398)(98, 426)(99, 433)(100, 483)(101, 402)(102, 486)(103, 488)(104, 439)(105, 485)(106, 472)(107, 444)(108, 404)(109, 429)(110, 495)(111, 446)(112, 452)(113, 451)(114, 500)(115, 409)(116, 414)(117, 412)(118, 453)(119, 505)(120, 413)(121, 509)(122, 463)(123, 419)(124, 512)(125, 514)(126, 461)(127, 508)(128, 476)(129, 467)(130, 520)(131, 421)(132, 424)(133, 468)(134, 525)(135, 425)(136, 492)(137, 497)(138, 530)(139, 428)(140, 518)(141, 479)(142, 441)(143, 534)(144, 482)(145, 436)(146, 538)(147, 481)(148, 438)(149, 478)(150, 484)(151, 545)(152, 440)(153, 548)(154, 547)(155, 535)(156, 442)(157, 553)(158, 493)(159, 447)(160, 557)(161, 528)(162, 457)(163, 560)(164, 501)(165, 450)(166, 499)(167, 504)(168, 564)(169, 507)(170, 567)(171, 455)(172, 458)(173, 498)(174, 570)(175, 460)(176, 511)(177, 574)(178, 462)(179, 577)(180, 576)(181, 510)(182, 464)(183, 581)(184, 521)(185, 466)(186, 519)(187, 524)(188, 584)(189, 527)(190, 587)(191, 470)(192, 473)(193, 588)(194, 532)(195, 590)(196, 474)(197, 592)(198, 477)(199, 551)(200, 555)(201, 596)(202, 480)(203, 541)(204, 490)(205, 599)(206, 544)(207, 487)(208, 566)(209, 543)(210, 489)(211, 540)(212, 546)(213, 606)(214, 600)(215, 491)(216, 526)(217, 494)(218, 611)(219, 594)(220, 496)(221, 556)(222, 569)(223, 529)(224, 502)(225, 616)(226, 617)(227, 562)(228, 503)(229, 516)(230, 542)(231, 568)(232, 506)(233, 614)(234, 517)(235, 573)(236, 513)(237, 586)(238, 572)(239, 515)(240, 565)(241, 575)(242, 625)(243, 620)(244, 531)(245, 522)(246, 631)(247, 582)(248, 523)(249, 533)(250, 571)(251, 552)(252, 559)(253, 613)(254, 580)(255, 589)(256, 585)(257, 634)(258, 536)(259, 637)(260, 597)(261, 537)(262, 626)(263, 539)(264, 607)(265, 609)(266, 621)(267, 604)(268, 633)(269, 549)(270, 605)(271, 550)(272, 593)(273, 636)(274, 554)(275, 610)(276, 595)(277, 591)(278, 558)(279, 561)(280, 615)(281, 563)(282, 630)(283, 650)(284, 629)(285, 635)(286, 632)(287, 622)(288, 619)(289, 628)(290, 627)(291, 598)(292, 578)(293, 579)(294, 638)(295, 583)(296, 623)(297, 603)(298, 608)(299, 602)(300, 601)(301, 612)(302, 618)(303, 649)(304, 639)(305, 655)(306, 660)(307, 647)(308, 645)(309, 658)(310, 641)(311, 659)(312, 642)(313, 640)(314, 624)(315, 653)(316, 656)(317, 657)(318, 652)(319, 646)(320, 654)(321, 651)(322, 644)(323, 643)(324, 648)(325, 669)(326, 663)(327, 667)(328, 661)(329, 666)(330, 668)(331, 662)(332, 665)(333, 664)(334, 672)(335, 670)(336, 671)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E8.391
Transitivity :: ET+ VT+ AT
Graph::
	v = 42 e = 336 f = 280
	degree seq :: [ 16^42 ]

E8.401 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^8, (T1^-2 * T2 * T1^3 * T2 * T1^-1)^2, (T2 * T1^2 * T2 * T1^-2)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 337, 3, 339)(2, 338, 6, 342)(4, 340, 9, 345)(5, 341, 12, 348)(7, 343, 16, 352)(8, 344, 13, 349)(10, 346, 19, 355)(11, 347, 22, 358)(14, 350, 23, 359)(15, 351, 28, 364)(17, 353, 30, 366)(18, 354, 33, 369)(20, 356, 35, 371)(21, 357, 36, 372)(24, 360, 37, 373)(25, 361, 42, 378)(26, 362, 43, 379)(27, 363, 46, 382)(29, 365, 47, 383)(31, 367, 51, 387)(32, 368, 53, 389)(34, 370, 56, 392)(38, 374, 58, 394)(39, 375, 63, 399)(40, 376, 64, 400)(41, 377, 67, 403)(44, 380, 70, 406)(45, 381, 71, 407)(48, 384, 72, 408)(49, 385, 76, 412)(50, 386, 79, 415)(52, 388, 81, 417)(54, 390, 82, 418)(55, 391, 86, 422)(57, 393, 59, 395)(60, 396, 92, 428)(61, 397, 93, 429)(62, 398, 96, 432)(65, 401, 99, 435)(66, 402, 100, 436)(68, 404, 101, 437)(69, 405, 105, 441)(73, 409, 107, 443)(74, 410, 112, 448)(75, 411, 113, 449)(77, 413, 116, 452)(78, 414, 118, 454)(80, 416, 108, 444)(83, 419, 121, 457)(84, 420, 125, 461)(85, 421, 127, 463)(87, 423, 128, 464)(88, 424, 132, 468)(89, 425, 134, 470)(90, 426, 135, 471)(91, 427, 138, 474)(94, 430, 141, 477)(95, 431, 142, 478)(97, 433, 143, 479)(98, 434, 147, 483)(102, 438, 149, 485)(103, 439, 153, 489)(104, 440, 156, 492)(106, 442, 150, 486)(109, 445, 162, 498)(110, 446, 163, 499)(111, 447, 165, 501)(114, 450, 168, 504)(115, 451, 170, 506)(117, 453, 172, 508)(119, 455, 173, 509)(120, 456, 177, 513)(122, 458, 171, 507)(123, 459, 180, 516)(124, 460, 181, 517)(126, 462, 184, 520)(129, 465, 185, 521)(130, 466, 188, 524)(131, 467, 176, 512)(133, 469, 192, 528)(136, 472, 195, 531)(137, 473, 196, 532)(139, 475, 197, 533)(140, 476, 201, 537)(144, 480, 202, 538)(145, 481, 206, 542)(146, 482, 209, 545)(148, 484, 203, 539)(151, 487, 214, 550)(152, 488, 215, 551)(154, 490, 217, 553)(155, 491, 218, 554)(157, 493, 219, 555)(158, 494, 222, 558)(159, 495, 223, 559)(160, 496, 224, 560)(161, 497, 226, 562)(164, 500, 228, 564)(166, 502, 229, 565)(167, 503, 232, 568)(169, 505, 233, 569)(174, 510, 236, 572)(175, 511, 239, 575)(178, 514, 242, 578)(179, 515, 244, 580)(182, 518, 225, 561)(183, 519, 246, 582)(186, 522, 248, 584)(187, 523, 238, 574)(189, 525, 241, 577)(190, 526, 240, 576)(191, 527, 251, 587)(193, 529, 252, 588)(194, 530, 255, 591)(198, 534, 256, 592)(199, 535, 258, 594)(200, 536, 261, 597)(204, 540, 265, 601)(205, 541, 266, 602)(207, 543, 268, 604)(208, 544, 269, 605)(210, 546, 270, 606)(211, 547, 271, 607)(212, 548, 272, 608)(213, 549, 273, 609)(216, 552, 275, 611)(220, 556, 276, 612)(221, 557, 278, 614)(227, 563, 280, 616)(230, 566, 282, 618)(231, 567, 285, 621)(234, 570, 286, 622)(235, 571, 263, 599)(237, 573, 289, 625)(243, 579, 279, 615)(245, 581, 291, 627)(247, 583, 295, 631)(249, 585, 287, 623)(250, 586, 284, 620)(253, 589, 297, 633)(254, 590, 300, 636)(257, 593, 302, 638)(259, 595, 304, 640)(260, 596, 305, 641)(262, 598, 306, 642)(264, 600, 307, 643)(267, 603, 309, 645)(274, 610, 311, 647)(277, 613, 314, 650)(281, 617, 316, 652)(283, 619, 319, 655)(288, 624, 321, 657)(290, 626, 310, 646)(292, 628, 315, 651)(293, 629, 301, 637)(294, 630, 320, 656)(296, 632, 317, 653)(298, 634, 323, 659)(299, 635, 324, 660)(303, 639, 326, 662)(308, 644, 327, 663)(312, 648, 329, 665)(313, 649, 330, 666)(318, 654, 331, 667)(322, 658, 325, 661)(328, 664, 334, 670)(332, 668, 335, 671)(333, 669, 336, 672)
	L = (1, 338)(2, 341)(3, 343)(4, 337)(5, 347)(6, 349)(7, 351)(8, 339)(9, 354)(10, 340)(11, 357)(12, 359)(13, 361)(14, 342)(15, 363)(16, 345)(17, 344)(18, 368)(19, 370)(20, 346)(21, 356)(22, 373)(23, 375)(24, 348)(25, 377)(26, 350)(27, 381)(28, 383)(29, 352)(30, 386)(31, 353)(32, 388)(33, 355)(34, 391)(35, 393)(36, 394)(37, 396)(38, 358)(39, 398)(40, 360)(41, 402)(42, 366)(43, 405)(44, 362)(45, 367)(46, 408)(47, 410)(48, 364)(49, 365)(50, 414)(51, 416)(52, 413)(53, 418)(54, 369)(55, 421)(56, 371)(57, 424)(58, 425)(59, 372)(60, 427)(61, 374)(62, 431)(63, 379)(64, 434)(65, 376)(66, 380)(67, 437)(68, 378)(69, 440)(70, 442)(71, 443)(72, 445)(73, 382)(74, 447)(75, 384)(76, 451)(77, 385)(78, 453)(79, 387)(80, 456)(81, 457)(82, 459)(83, 389)(84, 390)(85, 462)(86, 464)(87, 392)(88, 467)(89, 469)(90, 395)(91, 473)(92, 400)(93, 476)(94, 397)(95, 401)(96, 479)(97, 399)(98, 482)(99, 484)(100, 485)(101, 487)(102, 403)(103, 404)(104, 491)(105, 406)(106, 494)(107, 495)(108, 407)(109, 497)(110, 409)(111, 500)(112, 412)(113, 503)(114, 411)(115, 505)(116, 507)(117, 490)(118, 509)(119, 415)(120, 512)(121, 514)(122, 417)(123, 515)(124, 419)(125, 519)(126, 420)(127, 521)(128, 522)(129, 422)(130, 423)(131, 525)(132, 471)(133, 527)(134, 429)(135, 530)(136, 426)(137, 430)(138, 533)(139, 428)(140, 536)(141, 446)(142, 538)(143, 540)(144, 432)(145, 433)(146, 544)(147, 435)(148, 458)(149, 547)(150, 436)(151, 549)(152, 438)(153, 552)(154, 439)(155, 543)(156, 555)(157, 441)(158, 463)(159, 554)(160, 444)(161, 537)(162, 449)(163, 532)(164, 450)(165, 565)(166, 448)(167, 545)(168, 548)(169, 528)(170, 452)(171, 571)(172, 572)(173, 573)(174, 454)(175, 455)(176, 576)(177, 560)(178, 546)(179, 579)(180, 461)(181, 556)(182, 460)(183, 534)(184, 558)(185, 557)(186, 583)(187, 465)(188, 541)(189, 466)(190, 468)(191, 472)(192, 588)(193, 470)(194, 590)(195, 488)(196, 592)(197, 593)(198, 474)(199, 475)(200, 596)(201, 477)(202, 598)(203, 478)(204, 600)(205, 480)(206, 603)(207, 481)(208, 595)(209, 606)(210, 483)(211, 605)(212, 486)(213, 591)(214, 489)(215, 587)(216, 597)(217, 599)(218, 612)(219, 613)(220, 492)(221, 493)(222, 608)(223, 499)(224, 615)(225, 496)(226, 616)(227, 498)(228, 618)(229, 619)(230, 501)(231, 502)(232, 504)(233, 622)(234, 506)(235, 508)(236, 623)(237, 624)(238, 510)(239, 620)(240, 511)(241, 513)(242, 517)(243, 518)(244, 627)(245, 516)(246, 520)(247, 630)(248, 524)(249, 523)(250, 526)(251, 569)(252, 567)(253, 529)(254, 635)(255, 531)(256, 637)(257, 581)(258, 639)(259, 535)(260, 634)(261, 562)(262, 641)(263, 539)(264, 584)(265, 542)(266, 577)(267, 636)(268, 559)(269, 568)(270, 646)(271, 551)(272, 564)(273, 647)(274, 550)(275, 553)(276, 561)(277, 649)(278, 574)(279, 651)(280, 648)(281, 563)(282, 653)(283, 654)(284, 566)(285, 633)(286, 656)(287, 570)(288, 650)(289, 575)(290, 578)(291, 658)(292, 580)(293, 582)(294, 585)(295, 643)(296, 586)(297, 628)(298, 589)(299, 632)(300, 609)(301, 660)(302, 594)(303, 631)(304, 607)(305, 611)(306, 602)(307, 663)(308, 601)(309, 604)(310, 617)(311, 664)(312, 610)(313, 626)(314, 614)(315, 659)(316, 666)(317, 629)(318, 625)(319, 621)(320, 662)(321, 667)(322, 668)(323, 642)(324, 645)(325, 638)(326, 640)(327, 669)(328, 644)(329, 652)(330, 657)(331, 671)(332, 655)(333, 661)(334, 665)(335, 672)(336, 670)
	local type(s) :: { ( 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.393
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 168 e = 336 f = 154
	degree seq :: [ 4^168 ]

E8.402 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^8, (T2 * T1^-3)^4, T2 * T1^3 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^2 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 337, 3, 339)(2, 338, 6, 342)(4, 340, 9, 345)(5, 341, 12, 348)(7, 343, 16, 352)(8, 344, 13, 349)(10, 346, 19, 355)(11, 347, 22, 358)(14, 350, 23, 359)(15, 351, 28, 364)(17, 353, 30, 366)(18, 354, 33, 369)(20, 356, 35, 371)(21, 357, 36, 372)(24, 360, 37, 373)(25, 361, 42, 378)(26, 362, 43, 379)(27, 363, 46, 382)(29, 365, 47, 383)(31, 367, 51, 387)(32, 368, 53, 389)(34, 370, 56, 392)(38, 374, 58, 394)(39, 375, 63, 399)(40, 376, 64, 400)(41, 377, 67, 403)(44, 380, 70, 406)(45, 381, 71, 407)(48, 384, 72, 408)(49, 385, 76, 412)(50, 386, 79, 415)(52, 388, 81, 417)(54, 390, 82, 418)(55, 391, 86, 422)(57, 393, 59, 395)(60, 396, 92, 428)(61, 397, 93, 429)(62, 398, 96, 432)(65, 401, 99, 435)(66, 402, 100, 436)(68, 404, 101, 437)(69, 405, 105, 441)(73, 409, 107, 443)(74, 410, 112, 448)(75, 411, 113, 449)(77, 413, 116, 452)(78, 414, 118, 454)(80, 416, 108, 444)(83, 419, 121, 457)(84, 420, 125, 461)(85, 421, 127, 463)(87, 423, 128, 464)(88, 424, 132, 468)(89, 425, 134, 470)(90, 426, 135, 471)(91, 427, 138, 474)(94, 430, 141, 477)(95, 431, 142, 478)(97, 433, 143, 479)(98, 434, 147, 483)(102, 438, 149, 485)(103, 439, 153, 489)(104, 440, 156, 492)(106, 442, 150, 486)(109, 445, 162, 498)(110, 446, 163, 499)(111, 447, 145, 481)(114, 450, 167, 503)(115, 451, 169, 505)(117, 453, 171, 507)(119, 455, 139, 475)(120, 456, 174, 510)(122, 458, 170, 506)(123, 459, 151, 487)(124, 460, 177, 513)(126, 462, 180, 516)(129, 465, 181, 517)(130, 466, 161, 497)(131, 467, 185, 521)(133, 469, 188, 524)(136, 472, 191, 527)(137, 473, 192, 528)(140, 476, 195, 531)(144, 480, 197, 533)(146, 482, 202, 538)(148, 484, 198, 534)(152, 488, 207, 543)(154, 490, 210, 546)(155, 491, 211, 547)(157, 493, 189, 525)(158, 494, 214, 550)(159, 495, 216, 552)(160, 496, 217, 553)(164, 500, 221, 557)(165, 501, 222, 558)(166, 502, 224, 560)(168, 504, 226, 562)(172, 508, 229, 565)(173, 509, 231, 567)(175, 511, 190, 526)(176, 512, 233, 569)(178, 514, 236, 572)(179, 515, 237, 573)(182, 518, 238, 574)(183, 519, 194, 530)(184, 520, 240, 576)(186, 522, 203, 539)(187, 523, 242, 578)(193, 529, 245, 581)(196, 532, 246, 582)(199, 535, 251, 587)(200, 536, 252, 588)(201, 537, 253, 589)(204, 540, 256, 592)(205, 541, 258, 594)(206, 542, 259, 595)(208, 544, 262, 598)(209, 545, 263, 599)(212, 548, 265, 601)(213, 549, 267, 603)(215, 551, 270, 606)(218, 554, 257, 593)(219, 555, 272, 608)(220, 556, 273, 609)(223, 559, 276, 612)(225, 561, 275, 611)(227, 563, 271, 607)(228, 564, 280, 616)(230, 566, 264, 600)(232, 568, 277, 613)(234, 570, 283, 619)(235, 571, 284, 620)(239, 575, 281, 617)(241, 577, 287, 623)(243, 579, 288, 624)(244, 580, 289, 625)(247, 583, 292, 628)(248, 584, 293, 629)(249, 585, 295, 631)(250, 586, 296, 632)(254, 590, 300, 636)(255, 591, 301, 637)(260, 596, 294, 630)(261, 597, 303, 639)(266, 602, 299, 635)(268, 604, 305, 641)(269, 605, 307, 643)(274, 610, 309, 645)(278, 614, 298, 634)(279, 615, 311, 647)(282, 618, 290, 626)(285, 621, 304, 640)(286, 622, 310, 646)(291, 627, 318, 654)(297, 633, 317, 653)(302, 638, 322, 658)(306, 642, 315, 651)(308, 644, 323, 659)(312, 648, 316, 652)(313, 649, 324, 660)(314, 650, 321, 657)(319, 655, 327, 663)(320, 656, 330, 666)(325, 661, 331, 667)(326, 662, 328, 664)(329, 665, 334, 670)(332, 668, 335, 671)(333, 669, 336, 672)
	L = (1, 338)(2, 341)(3, 343)(4, 337)(5, 347)(6, 349)(7, 351)(8, 339)(9, 354)(10, 340)(11, 357)(12, 359)(13, 361)(14, 342)(15, 363)(16, 345)(17, 344)(18, 368)(19, 370)(20, 346)(21, 356)(22, 373)(23, 375)(24, 348)(25, 377)(26, 350)(27, 381)(28, 383)(29, 352)(30, 386)(31, 353)(32, 388)(33, 355)(34, 391)(35, 393)(36, 394)(37, 396)(38, 358)(39, 398)(40, 360)(41, 402)(42, 366)(43, 405)(44, 362)(45, 367)(46, 408)(47, 410)(48, 364)(49, 365)(50, 414)(51, 416)(52, 413)(53, 418)(54, 369)(55, 421)(56, 371)(57, 424)(58, 425)(59, 372)(60, 427)(61, 374)(62, 431)(63, 379)(64, 434)(65, 376)(66, 380)(67, 437)(68, 378)(69, 440)(70, 442)(71, 443)(72, 445)(73, 382)(74, 447)(75, 384)(76, 451)(77, 385)(78, 453)(79, 387)(80, 456)(81, 457)(82, 459)(83, 389)(84, 390)(85, 462)(86, 464)(87, 392)(88, 467)(89, 469)(90, 395)(91, 473)(92, 400)(93, 476)(94, 397)(95, 401)(96, 479)(97, 399)(98, 482)(99, 484)(100, 485)(101, 487)(102, 403)(103, 404)(104, 491)(105, 406)(106, 494)(107, 495)(108, 407)(109, 497)(110, 409)(111, 501)(112, 412)(113, 502)(114, 411)(115, 504)(116, 506)(117, 490)(118, 475)(119, 415)(120, 509)(121, 511)(122, 417)(123, 489)(124, 419)(125, 515)(126, 420)(127, 517)(128, 498)(129, 422)(130, 423)(131, 520)(132, 471)(133, 523)(134, 429)(135, 526)(136, 426)(137, 430)(138, 455)(139, 428)(140, 530)(141, 532)(142, 533)(143, 448)(144, 432)(145, 433)(146, 537)(147, 435)(148, 540)(149, 541)(150, 436)(151, 461)(152, 438)(153, 545)(154, 439)(155, 536)(156, 525)(157, 441)(158, 549)(159, 551)(160, 444)(161, 555)(162, 449)(163, 556)(164, 446)(165, 450)(166, 559)(167, 561)(168, 535)(169, 452)(170, 564)(171, 565)(172, 454)(173, 529)(174, 553)(175, 527)(176, 458)(177, 571)(178, 460)(179, 544)(180, 574)(181, 531)(182, 463)(183, 465)(184, 466)(185, 539)(186, 468)(187, 472)(188, 493)(189, 470)(190, 513)(191, 580)(192, 581)(193, 474)(194, 583)(195, 477)(196, 584)(197, 585)(198, 478)(199, 480)(200, 481)(201, 508)(202, 522)(203, 483)(204, 591)(205, 593)(206, 486)(207, 597)(208, 488)(209, 514)(210, 600)(211, 601)(212, 492)(213, 579)(214, 595)(215, 605)(216, 499)(217, 594)(218, 496)(219, 500)(220, 589)(221, 610)(222, 588)(223, 519)(224, 503)(225, 592)(226, 607)(227, 505)(228, 615)(229, 609)(230, 507)(231, 613)(232, 510)(233, 602)(234, 512)(235, 590)(236, 604)(237, 516)(238, 622)(239, 518)(240, 623)(241, 521)(242, 624)(243, 524)(244, 570)(245, 626)(246, 528)(247, 548)(248, 575)(249, 630)(250, 534)(251, 634)(252, 635)(253, 636)(254, 538)(255, 577)(256, 632)(257, 638)(258, 543)(259, 631)(260, 542)(261, 628)(262, 640)(263, 546)(264, 629)(265, 639)(266, 547)(267, 641)(268, 550)(269, 554)(270, 563)(271, 552)(272, 576)(273, 557)(274, 646)(275, 558)(276, 568)(277, 560)(278, 562)(279, 644)(280, 569)(281, 566)(282, 567)(283, 648)(284, 572)(285, 573)(286, 649)(287, 650)(288, 651)(289, 578)(290, 653)(291, 582)(292, 612)(293, 654)(294, 656)(295, 587)(296, 618)(297, 586)(298, 620)(299, 619)(300, 614)(301, 611)(302, 596)(303, 598)(304, 616)(305, 599)(306, 603)(307, 659)(308, 606)(309, 608)(310, 617)(311, 621)(312, 657)(313, 661)(314, 662)(315, 663)(316, 625)(317, 665)(318, 642)(319, 627)(320, 633)(321, 637)(322, 643)(323, 667)(324, 645)(325, 647)(326, 668)(327, 669)(328, 652)(329, 655)(330, 658)(331, 671)(332, 660)(333, 664)(334, 666)(335, 672)(336, 670)
	local type(s) :: { ( 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E8.394
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 168 e = 336 f = 154
	degree seq :: [ 4^168 ]

E8.403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^8, (Y3 * Y2^-1)^8, (Y1 * Y2 * Y1 * Y2^-1)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 8, 344)(5, 341, 9, 345)(6, 342, 10, 346)(11, 347, 19, 355)(12, 348, 20, 356)(13, 349, 21, 357)(14, 350, 22, 358)(15, 351, 23, 359)(16, 352, 24, 360)(17, 353, 25, 361)(18, 354, 26, 362)(27, 363, 43, 379)(28, 364, 44, 380)(29, 365, 45, 381)(30, 366, 46, 382)(31, 367, 47, 383)(32, 368, 48, 384)(33, 369, 49, 385)(34, 370, 50, 386)(35, 371, 51, 387)(36, 372, 52, 388)(37, 373, 53, 389)(38, 374, 54, 390)(39, 375, 55, 391)(40, 376, 56, 392)(41, 377, 57, 393)(42, 378, 58, 394)(59, 395, 90, 426)(60, 396, 91, 427)(61, 397, 92, 428)(62, 398, 93, 429)(63, 399, 94, 430)(64, 400, 80, 416)(65, 401, 95, 431)(66, 402, 96, 432)(67, 403, 97, 433)(68, 404, 98, 434)(69, 405, 85, 421)(70, 406, 99, 435)(71, 407, 100, 436)(72, 408, 101, 437)(73, 409, 102, 438)(74, 410, 75, 411)(76, 412, 103, 439)(77, 413, 104, 440)(78, 414, 105, 441)(79, 415, 106, 442)(81, 417, 107, 443)(82, 418, 108, 444)(83, 419, 109, 445)(84, 420, 110, 446)(86, 422, 111, 447)(87, 423, 112, 448)(88, 424, 113, 449)(89, 425, 114, 450)(115, 451, 151, 487)(116, 452, 152, 488)(117, 453, 153, 489)(118, 454, 154, 490)(119, 455, 155, 491)(120, 456, 156, 492)(121, 457, 157, 493)(122, 458, 158, 494)(123, 459, 159, 495)(124, 460, 160, 496)(125, 461, 161, 497)(126, 462, 162, 498)(127, 463, 163, 499)(128, 464, 164, 500)(129, 465, 165, 501)(130, 466, 166, 502)(131, 467, 167, 503)(132, 468, 168, 504)(133, 469, 196, 532)(134, 470, 226, 562)(135, 471, 223, 559)(136, 472, 238, 574)(137, 473, 239, 575)(138, 474, 235, 571)(139, 475, 240, 576)(140, 476, 173, 509)(141, 477, 242, 578)(142, 478, 244, 580)(143, 479, 222, 558)(144, 480, 194, 530)(145, 481, 247, 583)(146, 482, 248, 584)(147, 483, 245, 581)(148, 484, 249, 585)(149, 485, 182, 518)(150, 486, 251, 587)(169, 505, 267, 603)(170, 506, 261, 597)(171, 507, 268, 604)(172, 508, 269, 605)(174, 510, 255, 591)(175, 511, 270, 606)(176, 512, 271, 607)(177, 513, 272, 608)(178, 514, 262, 598)(179, 515, 259, 595)(180, 516, 277, 613)(181, 517, 278, 614)(183, 519, 279, 615)(184, 520, 280, 616)(185, 521, 264, 600)(186, 522, 284, 620)(187, 523, 256, 592)(188, 524, 225, 561)(189, 525, 288, 624)(190, 526, 292, 628)(191, 527, 294, 630)(192, 528, 220, 556)(193, 529, 214, 550)(195, 531, 290, 626)(197, 533, 297, 633)(198, 534, 298, 634)(199, 535, 206, 542)(200, 536, 282, 618)(201, 537, 300, 636)(202, 538, 301, 637)(203, 539, 302, 638)(204, 540, 305, 641)(205, 541, 307, 643)(207, 543, 309, 645)(208, 544, 312, 648)(209, 545, 314, 650)(210, 546, 218, 554)(211, 547, 316, 652)(212, 548, 311, 647)(213, 549, 318, 654)(215, 551, 304, 640)(216, 552, 306, 642)(217, 553, 310, 646)(219, 555, 323, 659)(221, 557, 275, 611)(224, 560, 325, 661)(227, 563, 265, 601)(228, 564, 327, 663)(229, 565, 291, 627)(230, 566, 313, 649)(231, 567, 289, 625)(232, 568, 246, 582)(233, 569, 293, 629)(234, 570, 303, 639)(236, 572, 331, 667)(237, 573, 283, 619)(241, 577, 320, 656)(243, 579, 281, 617)(250, 586, 253, 589)(252, 588, 317, 653)(254, 590, 260, 596)(257, 593, 315, 651)(258, 594, 336, 672)(263, 599, 296, 632)(266, 602, 319, 655)(273, 609, 276, 612)(274, 610, 308, 644)(285, 621, 287, 623)(286, 622, 295, 631)(299, 635, 333, 669)(321, 657, 322, 658)(324, 660, 330, 666)(326, 662, 332, 668)(328, 664, 335, 671)(329, 665, 334, 670)(673, 1009, 675, 1011, 676, 1012)(674, 1010, 677, 1013, 678, 1014)(679, 1015, 683, 1019, 684, 1020)(680, 1016, 685, 1021, 686, 1022)(681, 1017, 687, 1023, 688, 1024)(682, 1018, 689, 1025, 690, 1026)(691, 1027, 699, 1035, 700, 1036)(692, 1028, 701, 1037, 702, 1038)(693, 1029, 703, 1039, 704, 1040)(694, 1030, 705, 1041, 706, 1042)(695, 1031, 707, 1043, 708, 1044)(696, 1032, 709, 1045, 710, 1046)(697, 1033, 711, 1047, 712, 1048)(698, 1034, 713, 1049, 714, 1050)(715, 1051, 731, 1067, 732, 1068)(716, 1052, 733, 1069, 734, 1070)(717, 1053, 735, 1071, 736, 1072)(718, 1054, 737, 1073, 738, 1074)(719, 1055, 739, 1075, 740, 1076)(720, 1056, 741, 1077, 742, 1078)(721, 1057, 743, 1079, 744, 1080)(722, 1058, 745, 1081, 746, 1082)(723, 1059, 747, 1083, 748, 1084)(724, 1060, 749, 1085, 750, 1086)(725, 1061, 751, 1087, 752, 1088)(726, 1062, 753, 1089, 754, 1090)(727, 1063, 755, 1091, 756, 1092)(728, 1064, 757, 1093, 758, 1094)(729, 1065, 759, 1095, 760, 1096)(730, 1066, 761, 1097, 762, 1098)(763, 1099, 787, 1123, 788, 1124)(764, 1100, 789, 1125, 773, 1109)(765, 1101, 790, 1126, 791, 1127)(766, 1102, 792, 1128, 793, 1129)(767, 1103, 794, 1130, 795, 1131)(768, 1104, 796, 1132, 769, 1105)(770, 1106, 797, 1133, 798, 1134)(771, 1107, 799, 1135, 800, 1136)(772, 1108, 801, 1137, 802, 1138)(774, 1110, 803, 1139, 804, 1140)(775, 1111, 805, 1141, 806, 1142)(776, 1112, 807, 1143, 785, 1121)(777, 1113, 808, 1144, 809, 1145)(778, 1114, 810, 1146, 811, 1147)(779, 1115, 812, 1148, 813, 1149)(780, 1116, 814, 1150, 781, 1117)(782, 1118, 815, 1151, 816, 1152)(783, 1119, 817, 1153, 818, 1154)(784, 1120, 819, 1155, 820, 1156)(786, 1122, 821, 1157, 822, 1158)(823, 1159, 859, 1195, 831, 1167)(824, 1160, 893, 1229, 843, 1179)(825, 1161, 925, 1261, 858, 1194)(826, 1162, 927, 1263, 997, 1333)(827, 1163, 929, 1265, 828, 1164)(829, 1165, 932, 1268, 969, 1305)(830, 1166, 873, 1209, 874, 1210)(832, 1168, 886, 1222, 991, 1327)(833, 1169, 850, 1186, 840, 1176)(834, 1170, 872, 1208, 841, 1177)(835, 1171, 933, 1269, 1008, 1344)(836, 1172, 935, 1271, 837, 1173)(838, 1174, 937, 1273, 951, 1287)(839, 1175, 885, 1221, 891, 1227)(842, 1178, 866, 1202, 867, 1203)(844, 1180, 898, 1234, 899, 1235)(845, 1181, 869, 1205, 870, 1206)(846, 1182, 855, 1191, 856, 1192)(847, 1183, 852, 1188, 853, 1189)(848, 1184, 923, 1259, 894, 1230)(849, 1185, 938, 1274, 926, 1262)(851, 1187, 946, 1282, 948, 1284)(854, 1190, 877, 1213, 896, 1232)(857, 1193, 953, 1289, 955, 1291)(860, 1196, 958, 1294, 959, 1295)(861, 1197, 961, 1297, 963, 1299)(862, 1198, 895, 1231, 965, 1301)(863, 1199, 914, 1250, 868, 1204)(864, 1200, 967, 1303, 968, 1304)(865, 1201, 881, 1217, 930, 1266)(871, 1207, 889, 1225, 971, 1307)(875, 1211, 975, 1311, 976, 1312)(876, 1212, 928, 1264, 978, 1314)(878, 1214, 980, 1316, 916, 1252)(879, 1215, 982, 1318, 983, 1319)(880, 1216, 934, 1270, 985, 1321)(882, 1218, 915, 1251, 987, 1323)(883, 1219, 989, 1325, 981, 1317)(884, 1220, 966, 1302, 984, 1320)(887, 1223, 986, 1322, 977, 1313)(888, 1224, 943, 1279, 992, 1328)(890, 1226, 903, 1239, 994, 1330)(892, 1228, 906, 1242, 996, 1332)(897, 1233, 924, 1260, 998, 1334)(900, 1236, 1000, 1336, 960, 1296)(901, 1237, 979, 1315, 964, 1300)(902, 1238, 944, 1280, 1001, 1337)(904, 1240, 1003, 1339, 974, 1310)(905, 1241, 941, 1277, 1004, 1340)(907, 1243, 911, 1247, 993, 1329)(908, 1244, 1006, 1342, 936, 1272)(909, 1245, 990, 1326, 956, 1292)(910, 1246, 942, 1278, 995, 1331)(912, 1248, 945, 1281, 972, 1308)(913, 1249, 931, 1267, 1007, 1343)(917, 1253, 920, 1256, 957, 1293)(918, 1254, 999, 1335, 988, 1324)(919, 1255, 939, 1275, 1005, 1341)(921, 1257, 947, 1283, 949, 1285)(922, 1258, 940, 1276, 1002, 1338)(950, 1286, 973, 1309, 954, 1290)(952, 1288, 970, 1306, 962, 1298)
	L = (1, 674)(2, 673)(3, 679)(4, 680)(5, 681)(6, 682)(7, 675)(8, 676)(9, 677)(10, 678)(11, 691)(12, 692)(13, 693)(14, 694)(15, 695)(16, 696)(17, 697)(18, 698)(19, 683)(20, 684)(21, 685)(22, 686)(23, 687)(24, 688)(25, 689)(26, 690)(27, 715)(28, 716)(29, 717)(30, 718)(31, 719)(32, 720)(33, 721)(34, 722)(35, 723)(36, 724)(37, 725)(38, 726)(39, 727)(40, 728)(41, 729)(42, 730)(43, 699)(44, 700)(45, 701)(46, 702)(47, 703)(48, 704)(49, 705)(50, 706)(51, 707)(52, 708)(53, 709)(54, 710)(55, 711)(56, 712)(57, 713)(58, 714)(59, 762)(60, 763)(61, 764)(62, 765)(63, 766)(64, 752)(65, 767)(66, 768)(67, 769)(68, 770)(69, 757)(70, 771)(71, 772)(72, 773)(73, 774)(74, 747)(75, 746)(76, 775)(77, 776)(78, 777)(79, 778)(80, 736)(81, 779)(82, 780)(83, 781)(84, 782)(85, 741)(86, 783)(87, 784)(88, 785)(89, 786)(90, 731)(91, 732)(92, 733)(93, 734)(94, 735)(95, 737)(96, 738)(97, 739)(98, 740)(99, 742)(100, 743)(101, 744)(102, 745)(103, 748)(104, 749)(105, 750)(106, 751)(107, 753)(108, 754)(109, 755)(110, 756)(111, 758)(112, 759)(113, 760)(114, 761)(115, 823)(116, 824)(117, 825)(118, 826)(119, 827)(120, 828)(121, 829)(122, 830)(123, 831)(124, 832)(125, 833)(126, 834)(127, 835)(128, 836)(129, 837)(130, 838)(131, 839)(132, 840)(133, 868)(134, 898)(135, 895)(136, 910)(137, 911)(138, 907)(139, 912)(140, 845)(141, 914)(142, 916)(143, 894)(144, 866)(145, 919)(146, 920)(147, 917)(148, 921)(149, 854)(150, 923)(151, 787)(152, 788)(153, 789)(154, 790)(155, 791)(156, 792)(157, 793)(158, 794)(159, 795)(160, 796)(161, 797)(162, 798)(163, 799)(164, 800)(165, 801)(166, 802)(167, 803)(168, 804)(169, 939)(170, 933)(171, 940)(172, 941)(173, 812)(174, 927)(175, 942)(176, 943)(177, 944)(178, 934)(179, 931)(180, 949)(181, 950)(182, 821)(183, 951)(184, 952)(185, 936)(186, 956)(187, 928)(188, 897)(189, 960)(190, 964)(191, 966)(192, 892)(193, 886)(194, 816)(195, 962)(196, 805)(197, 969)(198, 970)(199, 878)(200, 954)(201, 972)(202, 973)(203, 974)(204, 977)(205, 979)(206, 871)(207, 981)(208, 984)(209, 986)(210, 890)(211, 988)(212, 983)(213, 990)(214, 865)(215, 976)(216, 978)(217, 982)(218, 882)(219, 995)(220, 864)(221, 947)(222, 815)(223, 807)(224, 997)(225, 860)(226, 806)(227, 937)(228, 999)(229, 963)(230, 985)(231, 961)(232, 918)(233, 965)(234, 975)(235, 810)(236, 1003)(237, 955)(238, 808)(239, 809)(240, 811)(241, 992)(242, 813)(243, 953)(244, 814)(245, 819)(246, 904)(247, 817)(248, 818)(249, 820)(250, 925)(251, 822)(252, 989)(253, 922)(254, 932)(255, 846)(256, 859)(257, 987)(258, 1008)(259, 851)(260, 926)(261, 842)(262, 850)(263, 968)(264, 857)(265, 899)(266, 991)(267, 841)(268, 843)(269, 844)(270, 847)(271, 848)(272, 849)(273, 948)(274, 980)(275, 893)(276, 945)(277, 852)(278, 853)(279, 855)(280, 856)(281, 915)(282, 872)(283, 909)(284, 858)(285, 959)(286, 967)(287, 957)(288, 861)(289, 903)(290, 867)(291, 901)(292, 862)(293, 905)(294, 863)(295, 958)(296, 935)(297, 869)(298, 870)(299, 1005)(300, 873)(301, 874)(302, 875)(303, 906)(304, 887)(305, 876)(306, 888)(307, 877)(308, 946)(309, 879)(310, 889)(311, 884)(312, 880)(313, 902)(314, 881)(315, 929)(316, 883)(317, 924)(318, 885)(319, 938)(320, 913)(321, 994)(322, 993)(323, 891)(324, 1002)(325, 896)(326, 1004)(327, 900)(328, 1007)(329, 1006)(330, 996)(331, 908)(332, 998)(333, 971)(334, 1001)(335, 1000)(336, 930)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.410
Graph:: bipartite
	v = 280 e = 672 f = 378
	degree seq :: [ 4^168, 6^112 ]

E8.404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^8, (Y3 * Y2^-1)^8, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 8, 344)(5, 341, 9, 345)(6, 342, 10, 346)(11, 347, 19, 355)(12, 348, 20, 356)(13, 349, 21, 357)(14, 350, 22, 358)(15, 351, 23, 359)(16, 352, 24, 360)(17, 353, 25, 361)(18, 354, 26, 362)(27, 363, 43, 379)(28, 364, 44, 380)(29, 365, 45, 381)(30, 366, 46, 382)(31, 367, 47, 383)(32, 368, 48, 384)(33, 369, 49, 385)(34, 370, 50, 386)(35, 371, 51, 387)(36, 372, 52, 388)(37, 373, 53, 389)(38, 374, 54, 390)(39, 375, 55, 391)(40, 376, 56, 392)(41, 377, 57, 393)(42, 378, 58, 394)(59, 395, 90, 426)(60, 396, 91, 427)(61, 397, 92, 428)(62, 398, 93, 429)(63, 399, 94, 430)(64, 400, 95, 431)(65, 401, 96, 432)(66, 402, 97, 433)(67, 403, 98, 434)(68, 404, 99, 435)(69, 405, 100, 436)(70, 406, 101, 437)(71, 407, 102, 438)(72, 408, 103, 439)(73, 409, 104, 440)(74, 410, 75, 411)(76, 412, 105, 441)(77, 413, 106, 442)(78, 414, 107, 443)(79, 415, 108, 444)(80, 416, 109, 445)(81, 417, 110, 446)(82, 418, 111, 447)(83, 419, 112, 448)(84, 420, 113, 449)(85, 421, 114, 450)(86, 422, 115, 451)(87, 423, 116, 452)(88, 424, 117, 453)(89, 425, 118, 454)(119, 455, 169, 505)(120, 456, 170, 506)(121, 457, 171, 507)(122, 458, 172, 508)(123, 459, 173, 509)(124, 460, 174, 510)(125, 461, 175, 511)(126, 462, 176, 512)(127, 463, 177, 513)(128, 464, 178, 514)(129, 465, 179, 515)(130, 466, 180, 516)(131, 467, 181, 517)(132, 468, 182, 518)(133, 469, 183, 519)(134, 470, 184, 520)(135, 471, 185, 521)(136, 472, 186, 522)(137, 473, 187, 523)(138, 474, 188, 524)(139, 475, 189, 525)(140, 476, 190, 526)(141, 477, 191, 527)(142, 478, 192, 528)(143, 479, 193, 529)(144, 480, 194, 530)(145, 481, 195, 531)(146, 482, 196, 532)(147, 483, 197, 533)(148, 484, 198, 534)(149, 485, 199, 535)(150, 486, 200, 536)(151, 487, 201, 537)(152, 488, 202, 538)(153, 489, 203, 539)(154, 490, 204, 540)(155, 491, 205, 541)(156, 492, 206, 542)(157, 493, 207, 543)(158, 494, 208, 544)(159, 495, 209, 545)(160, 496, 210, 546)(161, 497, 211, 547)(162, 498, 212, 548)(163, 499, 213, 549)(164, 500, 214, 550)(165, 501, 215, 551)(166, 502, 216, 552)(167, 503, 217, 553)(168, 504, 218, 554)(219, 555, 280, 616)(220, 556, 279, 615)(221, 557, 267, 603)(222, 558, 266, 602)(223, 559, 265, 601)(224, 560, 294, 630)(225, 561, 293, 629)(226, 562, 307, 643)(227, 563, 271, 607)(228, 564, 286, 622)(229, 565, 285, 621)(230, 566, 308, 644)(231, 567, 301, 637)(232, 568, 300, 636)(233, 569, 309, 645)(234, 570, 310, 646)(235, 571, 264, 600)(236, 572, 263, 599)(237, 573, 288, 624)(238, 574, 311, 647)(239, 575, 297, 633)(240, 576, 296, 632)(241, 577, 273, 609)(242, 578, 272, 608)(243, 579, 312, 648)(244, 580, 281, 617)(245, 581, 306, 642)(246, 582, 305, 641)(247, 583, 313, 649)(248, 584, 314, 650)(249, 585, 269, 605)(250, 586, 268, 604)(251, 587, 315, 651)(252, 588, 284, 620)(253, 589, 283, 619)(254, 590, 298, 634)(255, 591, 316, 652)(256, 592, 276, 612)(257, 593, 275, 611)(258, 594, 304, 640)(259, 595, 303, 639)(260, 596, 302, 638)(261, 597, 290, 626)(262, 598, 289, 625)(270, 606, 317, 653)(274, 610, 318, 654)(277, 613, 319, 655)(278, 614, 320, 656)(282, 618, 321, 657)(287, 623, 322, 658)(291, 627, 323, 659)(292, 628, 324, 660)(295, 631, 325, 661)(299, 635, 326, 662)(327, 663, 336, 672)(328, 664, 335, 671)(329, 665, 334, 670)(330, 666, 333, 669)(331, 667, 332, 668)(673, 1009, 675, 1011, 676, 1012)(674, 1010, 677, 1013, 678, 1014)(679, 1015, 683, 1019, 684, 1020)(680, 1016, 685, 1021, 686, 1022)(681, 1017, 687, 1023, 688, 1024)(682, 1018, 689, 1025, 690, 1026)(691, 1027, 699, 1035, 700, 1036)(692, 1028, 701, 1037, 702, 1038)(693, 1029, 703, 1039, 704, 1040)(694, 1030, 705, 1041, 706, 1042)(695, 1031, 707, 1043, 708, 1044)(696, 1032, 709, 1045, 710, 1046)(697, 1033, 711, 1047, 712, 1048)(698, 1034, 713, 1049, 714, 1050)(715, 1051, 731, 1067, 732, 1068)(716, 1052, 733, 1069, 734, 1070)(717, 1053, 735, 1071, 736, 1072)(718, 1054, 737, 1073, 738, 1074)(719, 1055, 739, 1075, 740, 1076)(720, 1056, 741, 1077, 742, 1078)(721, 1057, 743, 1079, 744, 1080)(722, 1058, 745, 1081, 746, 1082)(723, 1059, 747, 1083, 748, 1084)(724, 1060, 749, 1085, 750, 1086)(725, 1061, 751, 1087, 752, 1088)(726, 1062, 753, 1089, 754, 1090)(727, 1063, 755, 1091, 756, 1092)(728, 1064, 757, 1093, 758, 1094)(729, 1065, 759, 1095, 760, 1096)(730, 1066, 761, 1097, 762, 1098)(763, 1099, 791, 1127, 792, 1128)(764, 1100, 793, 1129, 794, 1130)(765, 1101, 795, 1131, 796, 1132)(766, 1102, 797, 1133, 798, 1134)(767, 1103, 799, 1135, 800, 1136)(768, 1104, 801, 1137, 802, 1138)(769, 1105, 803, 1139, 770, 1106)(771, 1107, 804, 1140, 805, 1141)(772, 1108, 806, 1142, 807, 1143)(773, 1109, 808, 1144, 809, 1145)(774, 1110, 810, 1146, 811, 1147)(775, 1111, 812, 1148, 813, 1149)(776, 1112, 814, 1150, 815, 1151)(777, 1113, 816, 1152, 817, 1153)(778, 1114, 818, 1154, 819, 1155)(779, 1115, 820, 1156, 821, 1157)(780, 1116, 822, 1158, 823, 1159)(781, 1117, 824, 1160, 825, 1161)(782, 1118, 826, 1162, 827, 1163)(783, 1119, 828, 1164, 784, 1120)(785, 1121, 829, 1165, 830, 1166)(786, 1122, 831, 1167, 832, 1168)(787, 1123, 833, 1169, 834, 1170)(788, 1124, 835, 1171, 836, 1172)(789, 1125, 837, 1173, 838, 1174)(790, 1126, 839, 1175, 840, 1176)(841, 1177, 891, 1227, 892, 1228)(842, 1178, 893, 1229, 894, 1230)(843, 1179, 895, 1231, 896, 1232)(844, 1180, 897, 1233, 898, 1234)(845, 1181, 899, 1235, 900, 1236)(846, 1182, 901, 1237, 847, 1183)(848, 1184, 902, 1238, 903, 1239)(849, 1185, 904, 1240, 905, 1241)(850, 1186, 906, 1242, 907, 1243)(851, 1187, 908, 1244, 909, 1245)(852, 1188, 910, 1246, 911, 1247)(853, 1189, 912, 1248, 913, 1249)(854, 1190, 914, 1250, 915, 1251)(855, 1191, 916, 1252, 917, 1253)(856, 1192, 918, 1254, 919, 1255)(857, 1193, 920, 1256, 921, 1257)(858, 1194, 922, 1258, 923, 1259)(859, 1195, 924, 1260, 860, 1196)(861, 1197, 925, 1261, 926, 1262)(862, 1198, 927, 1263, 928, 1264)(863, 1199, 929, 1265, 930, 1266)(864, 1200, 931, 1267, 932, 1268)(865, 1201, 933, 1269, 934, 1270)(866, 1202, 935, 1271, 936, 1272)(867, 1203, 937, 1273, 938, 1274)(868, 1204, 939, 1275, 940, 1276)(869, 1205, 941, 1277, 942, 1278)(870, 1206, 943, 1279, 944, 1280)(871, 1207, 945, 1281, 872, 1208)(873, 1209, 946, 1282, 947, 1283)(874, 1210, 948, 1284, 949, 1285)(875, 1211, 950, 1286, 951, 1287)(876, 1212, 952, 1288, 953, 1289)(877, 1213, 954, 1290, 955, 1291)(878, 1214, 956, 1292, 957, 1293)(879, 1215, 958, 1294, 959, 1295)(880, 1216, 960, 1296, 961, 1297)(881, 1217, 962, 1298, 963, 1299)(882, 1218, 964, 1300, 965, 1301)(883, 1219, 966, 1302, 967, 1303)(884, 1220, 968, 1304, 885, 1221)(886, 1222, 969, 1305, 970, 1306)(887, 1223, 971, 1307, 972, 1308)(888, 1224, 973, 1309, 974, 1310)(889, 1225, 975, 1311, 976, 1312)(890, 1226, 977, 1313, 978, 1314)(979, 1315, 999, 1335, 984, 1320)(980, 1316, 987, 1323, 1000, 1336)(981, 1317, 1001, 1337, 986, 1322)(982, 1318, 985, 1321, 1002, 1338)(983, 1319, 1003, 1339, 988, 1324)(989, 1325, 1004, 1340, 994, 1330)(990, 1326, 997, 1333, 1005, 1341)(991, 1327, 1006, 1342, 996, 1332)(992, 1328, 995, 1331, 1007, 1343)(993, 1329, 1008, 1344, 998, 1334)
	L = (1, 674)(2, 673)(3, 679)(4, 680)(5, 681)(6, 682)(7, 675)(8, 676)(9, 677)(10, 678)(11, 691)(12, 692)(13, 693)(14, 694)(15, 695)(16, 696)(17, 697)(18, 698)(19, 683)(20, 684)(21, 685)(22, 686)(23, 687)(24, 688)(25, 689)(26, 690)(27, 715)(28, 716)(29, 717)(30, 718)(31, 719)(32, 720)(33, 721)(34, 722)(35, 723)(36, 724)(37, 725)(38, 726)(39, 727)(40, 728)(41, 729)(42, 730)(43, 699)(44, 700)(45, 701)(46, 702)(47, 703)(48, 704)(49, 705)(50, 706)(51, 707)(52, 708)(53, 709)(54, 710)(55, 711)(56, 712)(57, 713)(58, 714)(59, 762)(60, 763)(61, 764)(62, 765)(63, 766)(64, 767)(65, 768)(66, 769)(67, 770)(68, 771)(69, 772)(70, 773)(71, 774)(72, 775)(73, 776)(74, 747)(75, 746)(76, 777)(77, 778)(78, 779)(79, 780)(80, 781)(81, 782)(82, 783)(83, 784)(84, 785)(85, 786)(86, 787)(87, 788)(88, 789)(89, 790)(90, 731)(91, 732)(92, 733)(93, 734)(94, 735)(95, 736)(96, 737)(97, 738)(98, 739)(99, 740)(100, 741)(101, 742)(102, 743)(103, 744)(104, 745)(105, 748)(106, 749)(107, 750)(108, 751)(109, 752)(110, 753)(111, 754)(112, 755)(113, 756)(114, 757)(115, 758)(116, 759)(117, 760)(118, 761)(119, 841)(120, 842)(121, 843)(122, 844)(123, 845)(124, 846)(125, 847)(126, 848)(127, 849)(128, 850)(129, 851)(130, 852)(131, 853)(132, 854)(133, 855)(134, 856)(135, 857)(136, 858)(137, 859)(138, 860)(139, 861)(140, 862)(141, 863)(142, 864)(143, 865)(144, 866)(145, 867)(146, 868)(147, 869)(148, 870)(149, 871)(150, 872)(151, 873)(152, 874)(153, 875)(154, 876)(155, 877)(156, 878)(157, 879)(158, 880)(159, 881)(160, 882)(161, 883)(162, 884)(163, 885)(164, 886)(165, 887)(166, 888)(167, 889)(168, 890)(169, 791)(170, 792)(171, 793)(172, 794)(173, 795)(174, 796)(175, 797)(176, 798)(177, 799)(178, 800)(179, 801)(180, 802)(181, 803)(182, 804)(183, 805)(184, 806)(185, 807)(186, 808)(187, 809)(188, 810)(189, 811)(190, 812)(191, 813)(192, 814)(193, 815)(194, 816)(195, 817)(196, 818)(197, 819)(198, 820)(199, 821)(200, 822)(201, 823)(202, 824)(203, 825)(204, 826)(205, 827)(206, 828)(207, 829)(208, 830)(209, 831)(210, 832)(211, 833)(212, 834)(213, 835)(214, 836)(215, 837)(216, 838)(217, 839)(218, 840)(219, 952)(220, 951)(221, 939)(222, 938)(223, 937)(224, 966)(225, 965)(226, 979)(227, 943)(228, 958)(229, 957)(230, 980)(231, 973)(232, 972)(233, 981)(234, 982)(235, 936)(236, 935)(237, 960)(238, 983)(239, 969)(240, 968)(241, 945)(242, 944)(243, 984)(244, 953)(245, 978)(246, 977)(247, 985)(248, 986)(249, 941)(250, 940)(251, 987)(252, 956)(253, 955)(254, 970)(255, 988)(256, 948)(257, 947)(258, 976)(259, 975)(260, 974)(261, 962)(262, 961)(263, 908)(264, 907)(265, 895)(266, 894)(267, 893)(268, 922)(269, 921)(270, 989)(271, 899)(272, 914)(273, 913)(274, 990)(275, 929)(276, 928)(277, 991)(278, 992)(279, 892)(280, 891)(281, 916)(282, 993)(283, 925)(284, 924)(285, 901)(286, 900)(287, 994)(288, 909)(289, 934)(290, 933)(291, 995)(292, 996)(293, 897)(294, 896)(295, 997)(296, 912)(297, 911)(298, 926)(299, 998)(300, 904)(301, 903)(302, 932)(303, 931)(304, 930)(305, 918)(306, 917)(307, 898)(308, 902)(309, 905)(310, 906)(311, 910)(312, 915)(313, 919)(314, 920)(315, 923)(316, 927)(317, 942)(318, 946)(319, 949)(320, 950)(321, 954)(322, 959)(323, 963)(324, 964)(325, 967)(326, 971)(327, 1008)(328, 1007)(329, 1006)(330, 1005)(331, 1004)(332, 1003)(333, 1002)(334, 1001)(335, 1000)(336, 999)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.409
Graph:: bipartite
	v = 280 e = 672 f = 378
	degree seq :: [ 4^168, 6^112 ]

E8.405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^8, Y2^2 * Y1^-1 * Y2^-3 * Y1 * Y2^3 * Y1^-1 * Y2^4 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1 * Y2^-3 * Y1^-1 ]
Map::
	R = (1, 337, 2, 338, 4, 340)(3, 339, 8, 344, 10, 346)(5, 341, 12, 348, 6, 342)(7, 343, 15, 351, 11, 347)(9, 345, 18, 354, 20, 356)(13, 349, 25, 361, 23, 359)(14, 350, 24, 360, 28, 364)(16, 352, 31, 367, 29, 365)(17, 353, 33, 369, 21, 357)(19, 355, 36, 372, 38, 374)(22, 358, 30, 366, 42, 378)(26, 362, 47, 383, 45, 381)(27, 363, 48, 384, 50, 386)(32, 368, 56, 392, 54, 390)(34, 370, 59, 395, 57, 393)(35, 371, 61, 397, 39, 375)(37, 373, 64, 400, 65, 401)(40, 376, 58, 394, 69, 405)(41, 377, 70, 406, 71, 407)(43, 379, 46, 382, 74, 410)(44, 380, 75, 411, 51, 387)(49, 385, 81, 417, 82, 418)(52, 388, 55, 391, 86, 422)(53, 389, 87, 423, 72, 408)(60, 396, 96, 432, 94, 430)(62, 398, 99, 435, 97, 433)(63, 399, 101, 437, 66, 402)(67, 403, 98, 434, 107, 443)(68, 404, 108, 444, 109, 445)(73, 409, 114, 450, 116, 452)(76, 412, 120, 456, 118, 454)(77, 413, 79, 415, 122, 458)(78, 414, 123, 459, 117, 453)(80, 416, 126, 462, 83, 419)(84, 420, 119, 455, 132, 468)(85, 421, 133, 469, 135, 471)(88, 424, 139, 475, 137, 473)(89, 425, 91, 427, 141, 477)(90, 426, 142, 478, 136, 472)(92, 428, 95, 431, 146, 482)(93, 429, 147, 483, 110, 446)(100, 436, 156, 492, 154, 490)(102, 438, 159, 495, 157, 493)(103, 439, 161, 497, 104, 440)(105, 441, 158, 494, 165, 501)(106, 442, 166, 502, 167, 503)(111, 447, 172, 508, 112, 448)(113, 449, 138, 474, 176, 512)(115, 451, 178, 514, 179, 515)(121, 457, 185, 521, 187, 523)(124, 460, 191, 527, 189, 525)(125, 461, 192, 528, 188, 524)(127, 463, 196, 532, 194, 530)(128, 464, 198, 534, 129, 465)(130, 466, 195, 531, 202, 538)(131, 467, 203, 539, 204, 540)(134, 470, 207, 543, 208, 544)(140, 476, 214, 550, 216, 552)(143, 479, 220, 556, 218, 554)(144, 480, 221, 557, 217, 553)(145, 481, 223, 559, 225, 561)(148, 484, 229, 565, 227, 563)(149, 485, 151, 487, 231, 567)(150, 486, 232, 568, 226, 562)(152, 488, 155, 491, 236, 572)(153, 489, 237, 573, 168, 504)(160, 496, 244, 580, 199, 535)(162, 498, 247, 583, 245, 581)(163, 499, 246, 582, 215, 551)(164, 500, 249, 585, 250, 586)(169, 505, 255, 591, 170, 506)(171, 507, 228, 564, 259, 595)(173, 509, 248, 584, 260, 596)(174, 510, 261, 597, 263, 599)(175, 511, 264, 600, 265, 601)(177, 513, 267, 603, 180, 516)(181, 517, 190, 526, 271, 607)(182, 518, 184, 520, 272, 608)(183, 519, 273, 609, 205, 541)(186, 522, 230, 566, 276, 612)(193, 529, 279, 615, 256, 592)(197, 533, 282, 618, 234, 570)(200, 536, 283, 619, 224, 560)(201, 537, 284, 620, 242, 578)(206, 542, 289, 625, 209, 545)(210, 546, 219, 555, 292, 628)(211, 547, 213, 549, 293, 629)(212, 548, 294, 630, 266, 602)(222, 558, 297, 633, 268, 604)(233, 569, 275, 611, 290, 626)(235, 571, 280, 616, 262, 598)(238, 574, 305, 641, 303, 639)(239, 575, 241, 577, 269, 605)(240, 576, 306, 642, 302, 638)(243, 579, 307, 643, 251, 587)(252, 588, 278, 614, 253, 589)(254, 590, 304, 640, 310, 646)(257, 593, 311, 647, 312, 648)(258, 594, 313, 649, 277, 613)(270, 606, 316, 652, 295, 631)(274, 610, 319, 655, 317, 653)(281, 617, 322, 658, 285, 621)(286, 622, 296, 632, 287, 623)(288, 624, 318, 654, 324, 660)(291, 627, 325, 661, 298, 634)(299, 635, 301, 637, 315, 651)(300, 636, 326, 662, 314, 650)(308, 644, 327, 663, 333, 669)(309, 645, 321, 657, 328, 664)(320, 656, 330, 666, 332, 668)(323, 659, 329, 665, 335, 671)(331, 667, 336, 672, 334, 670)(673, 1009, 675, 1011, 681, 1017, 691, 1027, 709, 1045, 698, 1034, 685, 1021, 677, 1013)(674, 1010, 678, 1014, 686, 1022, 699, 1035, 721, 1057, 704, 1040, 688, 1024, 679, 1015)(676, 1012, 683, 1019, 694, 1030, 713, 1049, 732, 1068, 706, 1042, 689, 1025, 680, 1016)(682, 1018, 693, 1029, 712, 1048, 740, 1076, 772, 1108, 734, 1070, 707, 1043, 690, 1026)(684, 1020, 695, 1031, 715, 1051, 745, 1081, 787, 1123, 748, 1084, 716, 1052, 696, 1032)(687, 1023, 701, 1037, 724, 1060, 757, 1093, 806, 1142, 760, 1096, 725, 1061, 702, 1038)(692, 1028, 711, 1047, 739, 1075, 778, 1114, 832, 1168, 774, 1110, 735, 1071, 708, 1044)(697, 1033, 717, 1053, 749, 1085, 793, 1129, 858, 1194, 796, 1132, 750, 1086, 718, 1054)(700, 1036, 723, 1059, 756, 1092, 803, 1139, 869, 1205, 799, 1135, 752, 1088, 720, 1056)(703, 1039, 726, 1062, 761, 1097, 812, 1148, 887, 1223, 815, 1151, 762, 1098, 727, 1063)(705, 1041, 729, 1065, 764, 1100, 817, 1153, 896, 1232, 820, 1156, 765, 1101, 730, 1066)(710, 1046, 738, 1074, 777, 1113, 836, 1172, 920, 1256, 834, 1170, 775, 1111, 736, 1072)(714, 1050, 744, 1080, 785, 1121, 847, 1183, 919, 1255, 845, 1181, 783, 1119, 742, 1078)(719, 1055, 737, 1073, 776, 1112, 835, 1171, 888, 1224, 865, 1201, 797, 1133, 751, 1087)(722, 1058, 755, 1091, 802, 1138, 873, 1209, 831, 1167, 871, 1207, 800, 1136, 753, 1089)(728, 1064, 754, 1090, 801, 1137, 872, 1208, 897, 1233, 894, 1230, 816, 1152, 763, 1099)(731, 1067, 766, 1102, 821, 1157, 902, 1238, 859, 1195, 905, 1241, 822, 1158, 767, 1103)(733, 1069, 769, 1105, 824, 1160, 907, 1243, 935, 1271, 910, 1246, 825, 1161, 770, 1106)(741, 1077, 782, 1118, 843, 1179, 930, 1266, 864, 1200, 928, 1264, 841, 1177, 780, 1116)(743, 1079, 784, 1120, 846, 1182, 934, 1270, 868, 1204, 906, 1242, 823, 1159, 768, 1104)(746, 1082, 789, 1125, 853, 1189, 942, 1278, 893, 1229, 940, 1276, 849, 1185, 786, 1122)(747, 1083, 790, 1126, 854, 1190, 921, 1257, 837, 1173, 923, 1259, 855, 1191, 791, 1127)(758, 1094, 808, 1144, 882, 1218, 963, 1299, 904, 1240, 962, 1298, 878, 1214, 805, 1141)(759, 1095, 809, 1145, 883, 1219, 956, 1292, 874, 1210, 957, 1293, 884, 1220, 810, 1146)(771, 1107, 826, 1162, 911, 1247, 850, 1186, 788, 1124, 852, 1188, 912, 1248, 827, 1163)(773, 1109, 829, 1165, 914, 1250, 965, 1301, 984, 1320, 980, 1316, 915, 1251, 830, 1166)(779, 1115, 840, 1176, 926, 1262, 862, 1198, 795, 1131, 861, 1197, 924, 1260, 838, 1174)(781, 1117, 842, 1178, 929, 1265, 885, 1221, 811, 1147, 880, 1216, 913, 1249, 828, 1164)(792, 1128, 851, 1187, 941, 1277, 879, 1215, 807, 1143, 881, 1217, 946, 1282, 856, 1192)(794, 1130, 860, 1196, 949, 1285, 992, 1328, 991, 1327, 961, 1297, 947, 1283, 857, 1193)(798, 1134, 866, 1202, 952, 1288, 908, 1244, 974, 1310, 995, 1331, 953, 1289, 867, 1203)(804, 1140, 877, 1213, 960, 1296, 891, 1227, 814, 1150, 890, 1226, 958, 1294, 875, 1211)(813, 1149, 889, 1225, 967, 1303, 999, 1335, 983, 1319, 927, 1263, 951, 1287, 886, 1222)(818, 1154, 898, 1234, 970, 1306, 1001, 1337, 978, 1314, 939, 1275, 969, 1305, 895, 1231)(819, 1155, 899, 1235, 971, 1307, 936, 1272, 848, 1184, 938, 1274, 972, 1308, 900, 1236)(833, 1169, 917, 1253, 937, 1273, 987, 1323, 1000, 1336, 968, 1304, 892, 1228, 918, 1254)(839, 1175, 925, 1261, 981, 1317, 973, 1309, 901, 1237, 955, 1291, 870, 1206, 916, 1252)(844, 1180, 932, 1268, 922, 1258, 944, 1280, 989, 1325, 1004, 1340, 977, 1313, 933, 1269)(863, 1199, 948, 1284, 903, 1239, 954, 1290, 876, 1212, 959, 1295, 993, 1329, 950, 1286)(909, 1245, 975, 1311, 1002, 1338, 985, 1321, 931, 1267, 986, 1322, 1003, 1339, 976, 1312)(943, 1279, 982, 1318, 1006, 1342, 990, 1326, 945, 1281, 979, 1315, 1005, 1341, 988, 1324)(964, 1300, 996, 1332, 1008, 1344, 998, 1334, 966, 1302, 994, 1330, 1007, 1343, 997, 1333)
	L = (1, 675)(2, 678)(3, 681)(4, 683)(5, 673)(6, 686)(7, 674)(8, 676)(9, 691)(10, 693)(11, 694)(12, 695)(13, 677)(14, 699)(15, 701)(16, 679)(17, 680)(18, 682)(19, 709)(20, 711)(21, 712)(22, 713)(23, 715)(24, 684)(25, 717)(26, 685)(27, 721)(28, 723)(29, 724)(30, 687)(31, 726)(32, 688)(33, 729)(34, 689)(35, 690)(36, 692)(37, 698)(38, 738)(39, 739)(40, 740)(41, 732)(42, 744)(43, 745)(44, 696)(45, 749)(46, 697)(47, 737)(48, 700)(49, 704)(50, 755)(51, 756)(52, 757)(53, 702)(54, 761)(55, 703)(56, 754)(57, 764)(58, 705)(59, 766)(60, 706)(61, 769)(62, 707)(63, 708)(64, 710)(65, 776)(66, 777)(67, 778)(68, 772)(69, 782)(70, 714)(71, 784)(72, 785)(73, 787)(74, 789)(75, 790)(76, 716)(77, 793)(78, 718)(79, 719)(80, 720)(81, 722)(82, 801)(83, 802)(84, 803)(85, 806)(86, 808)(87, 809)(88, 725)(89, 812)(90, 727)(91, 728)(92, 817)(93, 730)(94, 821)(95, 731)(96, 743)(97, 824)(98, 733)(99, 826)(100, 734)(101, 829)(102, 735)(103, 736)(104, 835)(105, 836)(106, 832)(107, 840)(108, 741)(109, 842)(110, 843)(111, 742)(112, 846)(113, 847)(114, 746)(115, 748)(116, 852)(117, 853)(118, 854)(119, 747)(120, 851)(121, 858)(122, 860)(123, 861)(124, 750)(125, 751)(126, 866)(127, 752)(128, 753)(129, 872)(130, 873)(131, 869)(132, 877)(133, 758)(134, 760)(135, 881)(136, 882)(137, 883)(138, 759)(139, 880)(140, 887)(141, 889)(142, 890)(143, 762)(144, 763)(145, 896)(146, 898)(147, 899)(148, 765)(149, 902)(150, 767)(151, 768)(152, 907)(153, 770)(154, 911)(155, 771)(156, 781)(157, 914)(158, 773)(159, 871)(160, 774)(161, 917)(162, 775)(163, 888)(164, 920)(165, 923)(166, 779)(167, 925)(168, 926)(169, 780)(170, 929)(171, 930)(172, 932)(173, 783)(174, 934)(175, 919)(176, 938)(177, 786)(178, 788)(179, 941)(180, 912)(181, 942)(182, 921)(183, 791)(184, 792)(185, 794)(186, 796)(187, 905)(188, 949)(189, 924)(190, 795)(191, 948)(192, 928)(193, 797)(194, 952)(195, 798)(196, 906)(197, 799)(198, 916)(199, 800)(200, 897)(201, 831)(202, 957)(203, 804)(204, 959)(205, 960)(206, 805)(207, 807)(208, 913)(209, 946)(210, 963)(211, 956)(212, 810)(213, 811)(214, 813)(215, 815)(216, 865)(217, 967)(218, 958)(219, 814)(220, 918)(221, 940)(222, 816)(223, 818)(224, 820)(225, 894)(226, 970)(227, 971)(228, 819)(229, 955)(230, 859)(231, 954)(232, 962)(233, 822)(234, 823)(235, 935)(236, 974)(237, 975)(238, 825)(239, 850)(240, 827)(241, 828)(242, 965)(243, 830)(244, 839)(245, 937)(246, 833)(247, 845)(248, 834)(249, 837)(250, 944)(251, 855)(252, 838)(253, 981)(254, 862)(255, 951)(256, 841)(257, 885)(258, 864)(259, 986)(260, 922)(261, 844)(262, 868)(263, 910)(264, 848)(265, 987)(266, 972)(267, 969)(268, 849)(269, 879)(270, 893)(271, 982)(272, 989)(273, 979)(274, 856)(275, 857)(276, 903)(277, 992)(278, 863)(279, 886)(280, 908)(281, 867)(282, 876)(283, 870)(284, 874)(285, 884)(286, 875)(287, 993)(288, 891)(289, 947)(290, 878)(291, 904)(292, 996)(293, 984)(294, 994)(295, 999)(296, 892)(297, 895)(298, 1001)(299, 936)(300, 900)(301, 901)(302, 995)(303, 1002)(304, 909)(305, 933)(306, 939)(307, 1005)(308, 915)(309, 973)(310, 1006)(311, 927)(312, 980)(313, 931)(314, 1003)(315, 1000)(316, 943)(317, 1004)(318, 945)(319, 961)(320, 991)(321, 950)(322, 1007)(323, 953)(324, 1008)(325, 964)(326, 966)(327, 983)(328, 968)(329, 978)(330, 985)(331, 976)(332, 977)(333, 988)(334, 990)(335, 997)(336, 998)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E8.408
Graph:: bipartite
	v = 154 e = 672 f = 504
	degree seq :: [ 6^112, 16^42 ]

E8.406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^2 * Y1 * Y2 * Y1^-1 * Y2 * Y1, Y2^8, Y2^8, (Y2^2 * Y1^-1)^4, Y2^2 * Y1^-1 * Y2^-3 * Y1 * Y2^3 * Y1^-1 * Y2 * Y1^-1 * Y2^4 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-3 * Y1 * Y2^3 * Y1 * Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1 ]
Map::
	R = (1, 337, 2, 338, 4, 340)(3, 339, 8, 344, 10, 346)(5, 341, 12, 348, 6, 342)(7, 343, 15, 351, 11, 347)(9, 345, 18, 354, 20, 356)(13, 349, 25, 361, 23, 359)(14, 350, 24, 360, 28, 364)(16, 352, 31, 367, 29, 365)(17, 353, 33, 369, 21, 357)(19, 355, 36, 372, 38, 374)(22, 358, 30, 366, 42, 378)(26, 362, 47, 383, 45, 381)(27, 363, 48, 384, 50, 386)(32, 368, 56, 392, 54, 390)(34, 370, 59, 395, 57, 393)(35, 371, 61, 397, 39, 375)(37, 373, 64, 400, 65, 401)(40, 376, 58, 394, 69, 405)(41, 377, 70, 406, 71, 407)(43, 379, 46, 382, 74, 410)(44, 380, 75, 411, 51, 387)(49, 385, 81, 417, 82, 418)(52, 388, 55, 391, 86, 422)(53, 389, 87, 423, 72, 408)(60, 396, 96, 432, 94, 430)(62, 398, 99, 435, 97, 433)(63, 399, 101, 437, 66, 402)(67, 403, 98, 434, 90, 426)(68, 404, 107, 443, 108, 444)(73, 409, 113, 449, 115, 451)(76, 412, 118, 454, 117, 453)(77, 413, 79, 415, 120, 456)(78, 414, 112, 448, 116, 452)(80, 416, 123, 459, 83, 419)(84, 420, 109, 445, 93, 429)(85, 421, 129, 465, 131, 467)(88, 424, 133, 469, 132, 468)(89, 425, 91, 427, 135, 471)(92, 428, 95, 431, 139, 475)(100, 436, 147, 483, 145, 481)(102, 438, 150, 486, 148, 484)(103, 439, 152, 488, 104, 440)(105, 441, 149, 485, 142, 478)(106, 442, 136, 472, 156, 492)(110, 446, 159, 495, 111, 447)(114, 450, 164, 500, 165, 501)(119, 455, 169, 505, 171, 507)(121, 457, 173, 509, 162, 498)(122, 458, 127, 463, 172, 508)(124, 460, 176, 512, 175, 511)(125, 461, 178, 514, 126, 462)(128, 464, 140, 476, 182, 518)(130, 466, 184, 520, 185, 521)(134, 470, 189, 525, 191, 527)(137, 473, 161, 497, 192, 528)(138, 474, 194, 530, 196, 532)(141, 477, 143, 479, 198, 534)(144, 480, 146, 482, 202, 538)(151, 487, 209, 545, 207, 543)(153, 489, 212, 548, 210, 546)(154, 490, 211, 547, 204, 540)(155, 491, 199, 535, 215, 551)(157, 493, 217, 553, 158, 494)(160, 496, 221, 557, 220, 556)(163, 499, 224, 560, 166, 502)(167, 503, 168, 504, 228, 564)(170, 506, 231, 567, 232, 568)(174, 510, 234, 570, 181, 517)(177, 513, 238, 574, 236, 572)(179, 515, 241, 577, 239, 575)(180, 516, 240, 576, 229, 565)(183, 519, 245, 581, 186, 522)(187, 523, 188, 524, 248, 584)(190, 526, 251, 587, 216, 552)(193, 529, 252, 588, 223, 559)(195, 531, 254, 590, 244, 580)(197, 533, 256, 592, 249, 585)(200, 536, 219, 555, 258, 594)(201, 537, 260, 596, 261, 597)(203, 539, 205, 541, 263, 599)(206, 542, 208, 544, 230, 566)(213, 549, 270, 606, 269, 605)(214, 550, 264, 600, 271, 607)(218, 554, 275, 611, 274, 610)(222, 558, 233, 569, 278, 614)(225, 561, 280, 616, 279, 615)(226, 562, 281, 617, 227, 563)(235, 571, 237, 573, 250, 586)(242, 578, 289, 625, 292, 628)(243, 579, 284, 620, 293, 629)(246, 582, 295, 631, 247, 583)(253, 589, 277, 613, 255, 591)(257, 593, 298, 634, 272, 608)(259, 595, 301, 637, 276, 612)(262, 598, 290, 626, 291, 627)(265, 601, 273, 609, 300, 636)(266, 602, 285, 621, 299, 635)(267, 603, 268, 604, 297, 633)(282, 618, 294, 630, 302, 638)(283, 619, 314, 650, 288, 624)(286, 622, 296, 632, 287, 623)(303, 639, 313, 649, 304, 640)(305, 641, 319, 655, 310, 646)(306, 642, 324, 660, 312, 648)(307, 643, 311, 647, 323, 659)(308, 644, 309, 645, 322, 658)(315, 651, 317, 653, 321, 657)(316, 652, 320, 656, 318, 654)(325, 661, 333, 669, 328, 664)(326, 662, 327, 663, 331, 667)(329, 665, 330, 666, 332, 668)(334, 670, 336, 672, 335, 671)(673, 1009, 675, 1011, 681, 1017, 691, 1027, 709, 1045, 698, 1034, 685, 1021, 677, 1013)(674, 1010, 678, 1014, 686, 1022, 699, 1035, 721, 1057, 704, 1040, 688, 1024, 679, 1015)(676, 1012, 683, 1019, 694, 1030, 713, 1049, 732, 1068, 706, 1042, 689, 1025, 680, 1016)(682, 1018, 693, 1029, 712, 1048, 740, 1076, 772, 1108, 734, 1070, 707, 1043, 690, 1026)(684, 1020, 695, 1031, 715, 1051, 745, 1081, 786, 1122, 748, 1084, 716, 1052, 696, 1032)(687, 1023, 701, 1037, 724, 1060, 757, 1093, 802, 1138, 760, 1096, 725, 1061, 702, 1038)(692, 1028, 711, 1047, 739, 1075, 778, 1114, 823, 1159, 774, 1110, 735, 1071, 708, 1044)(697, 1033, 717, 1053, 749, 1085, 791, 1127, 842, 1178, 793, 1129, 750, 1086, 718, 1054)(700, 1036, 723, 1059, 756, 1092, 800, 1136, 849, 1185, 796, 1132, 752, 1088, 720, 1056)(703, 1039, 726, 1062, 761, 1097, 806, 1142, 862, 1198, 808, 1144, 762, 1098, 727, 1063)(705, 1041, 729, 1065, 764, 1100, 810, 1146, 867, 1203, 812, 1148, 765, 1101, 730, 1066)(710, 1046, 738, 1074, 777, 1113, 827, 1163, 885, 1221, 825, 1161, 775, 1111, 736, 1072)(714, 1050, 744, 1080, 784, 1120, 834, 1170, 894, 1230, 832, 1168, 782, 1118, 742, 1078)(719, 1055, 737, 1073, 776, 1112, 826, 1162, 886, 1222, 846, 1182, 794, 1130, 751, 1087)(722, 1058, 755, 1091, 799, 1135, 853, 1189, 914, 1250, 851, 1187, 797, 1133, 753, 1089)(728, 1064, 754, 1090, 798, 1134, 852, 1188, 915, 1251, 865, 1201, 809, 1145, 763, 1099)(731, 1067, 766, 1102, 813, 1149, 869, 1205, 929, 1265, 871, 1207, 814, 1150, 767, 1103)(733, 1069, 769, 1105, 816, 1152, 873, 1209, 855, 1191, 801, 1137, 758, 1094, 770, 1106)(741, 1077, 781, 1117, 747, 1083, 789, 1125, 839, 1175, 890, 1226, 829, 1165, 779, 1115)(743, 1079, 783, 1119, 833, 1169, 895, 1231, 931, 1267, 872, 1208, 815, 1151, 768, 1104)(746, 1082, 788, 1124, 759, 1095, 804, 1140, 859, 1195, 897, 1233, 835, 1171, 785, 1121)(771, 1107, 817, 1153, 875, 1211, 934, 1270, 977, 1313, 936, 1272, 876, 1212, 818, 1154)(773, 1109, 820, 1156, 878, 1214, 938, 1274, 925, 1261, 866, 1202, 811, 1147, 821, 1157)(780, 1116, 830, 1166, 891, 1227, 948, 1284, 978, 1314, 937, 1273, 877, 1213, 819, 1155)(787, 1123, 838, 1174, 884, 1220, 941, 1277, 980, 1316, 954, 1290, 898, 1234, 836, 1172)(790, 1126, 837, 1173, 899, 1235, 955, 1291, 987, 1323, 956, 1292, 901, 1237, 840, 1176)(792, 1128, 844, 1180, 795, 1131, 847, 1183, 907, 1243, 957, 1293, 902, 1238, 841, 1177)(803, 1139, 858, 1194, 913, 1249, 964, 1300, 992, 1328, 968, 1304, 918, 1254, 856, 1192)(805, 1141, 857, 1193, 919, 1255, 969, 1305, 995, 1331, 970, 1306, 921, 1257, 860, 1196)(807, 1143, 864, 1200, 831, 1167, 892, 1228, 949, 1285, 971, 1307, 922, 1258, 861, 1197)(822, 1158, 879, 1215, 939, 1275, 967, 1303, 958, 1294, 903, 1239, 843, 1179, 880, 1216)(824, 1160, 882, 1218, 896, 1232, 951, 1287, 975, 1311, 932, 1268, 874, 1210, 883, 1219)(828, 1164, 888, 1224, 945, 1281, 984, 1320, 997, 1333, 979, 1315, 940, 1276, 881, 1217)(845, 1181, 904, 1240, 959, 1295, 988, 1324, 1001, 1337, 989, 1325, 960, 1296, 905, 1241)(848, 1184, 908, 1244, 962, 1298, 935, 1271, 972, 1308, 923, 1259, 863, 1199, 909, 1245)(850, 1186, 911, 1247, 917, 1253, 933, 1269, 976, 1312, 947, 1283, 900, 1236, 912, 1248)(854, 1190, 916, 1252, 966, 1302, 994, 1330, 1003, 1339, 991, 1327, 963, 1299, 910, 1246)(868, 1204, 927, 1263, 893, 1229, 950, 1286, 986, 1322, 953, 1289, 974, 1310, 926, 1262)(870, 1206, 930, 1266, 889, 1225, 946, 1282, 985, 1321, 952, 1288, 920, 1256, 928, 1264)(887, 1223, 944, 1280, 983, 1319, 1000, 1336, 1006, 1342, 998, 1334, 981, 1317, 942, 1278)(906, 1242, 943, 1279, 982, 1318, 999, 1335, 1007, 1343, 1002, 1338, 990, 1326, 961, 1297)(924, 1260, 965, 1301, 993, 1329, 1004, 1340, 1008, 1344, 1005, 1341, 996, 1332, 973, 1309)
	L = (1, 675)(2, 678)(3, 681)(4, 683)(5, 673)(6, 686)(7, 674)(8, 676)(9, 691)(10, 693)(11, 694)(12, 695)(13, 677)(14, 699)(15, 701)(16, 679)(17, 680)(18, 682)(19, 709)(20, 711)(21, 712)(22, 713)(23, 715)(24, 684)(25, 717)(26, 685)(27, 721)(28, 723)(29, 724)(30, 687)(31, 726)(32, 688)(33, 729)(34, 689)(35, 690)(36, 692)(37, 698)(38, 738)(39, 739)(40, 740)(41, 732)(42, 744)(43, 745)(44, 696)(45, 749)(46, 697)(47, 737)(48, 700)(49, 704)(50, 755)(51, 756)(52, 757)(53, 702)(54, 761)(55, 703)(56, 754)(57, 764)(58, 705)(59, 766)(60, 706)(61, 769)(62, 707)(63, 708)(64, 710)(65, 776)(66, 777)(67, 778)(68, 772)(69, 781)(70, 714)(71, 783)(72, 784)(73, 786)(74, 788)(75, 789)(76, 716)(77, 791)(78, 718)(79, 719)(80, 720)(81, 722)(82, 798)(83, 799)(84, 800)(85, 802)(86, 770)(87, 804)(88, 725)(89, 806)(90, 727)(91, 728)(92, 810)(93, 730)(94, 813)(95, 731)(96, 743)(97, 816)(98, 733)(99, 817)(100, 734)(101, 820)(102, 735)(103, 736)(104, 826)(105, 827)(106, 823)(107, 741)(108, 830)(109, 747)(110, 742)(111, 833)(112, 834)(113, 746)(114, 748)(115, 838)(116, 759)(117, 839)(118, 837)(119, 842)(120, 844)(121, 750)(122, 751)(123, 847)(124, 752)(125, 753)(126, 852)(127, 853)(128, 849)(129, 758)(130, 760)(131, 858)(132, 859)(133, 857)(134, 862)(135, 864)(136, 762)(137, 763)(138, 867)(139, 821)(140, 765)(141, 869)(142, 767)(143, 768)(144, 873)(145, 875)(146, 771)(147, 780)(148, 878)(149, 773)(150, 879)(151, 774)(152, 882)(153, 775)(154, 886)(155, 885)(156, 888)(157, 779)(158, 891)(159, 892)(160, 782)(161, 895)(162, 894)(163, 785)(164, 787)(165, 899)(166, 884)(167, 890)(168, 790)(169, 792)(170, 793)(171, 880)(172, 795)(173, 904)(174, 794)(175, 907)(176, 908)(177, 796)(178, 911)(179, 797)(180, 915)(181, 914)(182, 916)(183, 801)(184, 803)(185, 919)(186, 913)(187, 897)(188, 805)(189, 807)(190, 808)(191, 909)(192, 831)(193, 809)(194, 811)(195, 812)(196, 927)(197, 929)(198, 930)(199, 814)(200, 815)(201, 855)(202, 883)(203, 934)(204, 818)(205, 819)(206, 938)(207, 939)(208, 822)(209, 828)(210, 896)(211, 824)(212, 941)(213, 825)(214, 846)(215, 944)(216, 945)(217, 946)(218, 829)(219, 948)(220, 949)(221, 950)(222, 832)(223, 931)(224, 951)(225, 835)(226, 836)(227, 955)(228, 912)(229, 840)(230, 841)(231, 843)(232, 959)(233, 845)(234, 943)(235, 957)(236, 962)(237, 848)(238, 854)(239, 917)(240, 850)(241, 964)(242, 851)(243, 865)(244, 966)(245, 933)(246, 856)(247, 969)(248, 928)(249, 860)(250, 861)(251, 863)(252, 965)(253, 866)(254, 868)(255, 893)(256, 870)(257, 871)(258, 889)(259, 872)(260, 874)(261, 976)(262, 977)(263, 972)(264, 876)(265, 877)(266, 925)(267, 967)(268, 881)(269, 980)(270, 887)(271, 982)(272, 983)(273, 984)(274, 985)(275, 900)(276, 978)(277, 971)(278, 986)(279, 975)(280, 920)(281, 974)(282, 898)(283, 987)(284, 901)(285, 902)(286, 903)(287, 988)(288, 905)(289, 906)(290, 935)(291, 910)(292, 992)(293, 993)(294, 994)(295, 958)(296, 918)(297, 995)(298, 921)(299, 922)(300, 923)(301, 924)(302, 926)(303, 932)(304, 947)(305, 936)(306, 937)(307, 940)(308, 954)(309, 942)(310, 999)(311, 1000)(312, 997)(313, 952)(314, 953)(315, 956)(316, 1001)(317, 960)(318, 961)(319, 963)(320, 968)(321, 1004)(322, 1003)(323, 970)(324, 973)(325, 979)(326, 981)(327, 1007)(328, 1006)(329, 989)(330, 990)(331, 991)(332, 1008)(333, 996)(334, 998)(335, 1002)(336, 1005)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 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 E8.407
Graph:: bipartite
	v = 154 e = 672 f = 504
	degree seq :: [ 6^112, 16^42 ]

E8.407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3, Y3^8, (Y3^3 * Y2)^4, (Y3^-1 * Y1^-1)^8, Y3^2 * Y2 * Y3^-3 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^3 * Y2 * Y3^-2 * Y2 ]
Map:: polytopal
	R = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)(673, 1009, 674, 1010)(675, 1011, 679, 1015)(676, 1012, 681, 1017)(677, 1013, 683, 1019)(678, 1014, 685, 1021)(680, 1016, 688, 1024)(682, 1018, 691, 1027)(684, 1020, 694, 1030)(686, 1022, 697, 1033)(687, 1023, 699, 1035)(689, 1025, 702, 1038)(690, 1026, 704, 1040)(692, 1028, 707, 1043)(693, 1029, 708, 1044)(695, 1031, 711, 1047)(696, 1032, 713, 1049)(698, 1034, 716, 1052)(700, 1036, 718, 1054)(701, 1037, 720, 1056)(703, 1039, 723, 1059)(705, 1041, 725, 1061)(706, 1042, 727, 1063)(709, 1045, 731, 1067)(710, 1046, 733, 1069)(712, 1048, 736, 1072)(714, 1050, 738, 1074)(715, 1051, 740, 1076)(717, 1053, 743, 1079)(719, 1055, 746, 1082)(721, 1057, 748, 1084)(722, 1058, 750, 1086)(724, 1060, 753, 1089)(726, 1062, 756, 1092)(728, 1064, 758, 1094)(729, 1065, 752, 1088)(730, 1066, 761, 1097)(732, 1068, 764, 1100)(734, 1070, 766, 1102)(735, 1071, 768, 1104)(737, 1073, 771, 1107)(739, 1075, 774, 1110)(741, 1077, 776, 1112)(742, 1078, 770, 1106)(744, 1080, 780, 1116)(745, 1081, 782, 1118)(747, 1083, 785, 1121)(749, 1085, 788, 1124)(751, 1087, 790, 1126)(754, 1090, 794, 1130)(755, 1091, 796, 1132)(757, 1093, 799, 1135)(759, 1095, 802, 1138)(760, 1096, 803, 1139)(762, 1098, 806, 1142)(763, 1099, 808, 1144)(765, 1101, 811, 1147)(767, 1103, 814, 1150)(769, 1105, 816, 1152)(772, 1108, 820, 1156)(773, 1109, 822, 1158)(775, 1111, 825, 1161)(777, 1113, 828, 1164)(778, 1114, 829, 1165)(779, 1115, 805, 1141)(781, 1117, 832, 1168)(783, 1119, 834, 1170)(784, 1120, 824, 1160)(786, 1122, 826, 1162)(787, 1123, 838, 1174)(789, 1125, 841, 1177)(791, 1127, 844, 1180)(792, 1128, 845, 1181)(793, 1129, 819, 1155)(795, 1131, 848, 1184)(797, 1133, 850, 1186)(798, 1134, 810, 1146)(800, 1136, 812, 1148)(801, 1137, 854, 1190)(804, 1140, 858, 1194)(807, 1143, 860, 1196)(809, 1145, 862, 1198)(813, 1149, 866, 1202)(815, 1151, 869, 1205)(817, 1153, 872, 1208)(818, 1154, 873, 1209)(821, 1157, 876, 1212)(823, 1159, 878, 1214)(827, 1163, 882, 1218)(830, 1166, 886, 1222)(831, 1167, 887, 1223)(833, 1169, 889, 1225)(835, 1171, 892, 1228)(836, 1172, 893, 1229)(837, 1173, 895, 1231)(839, 1175, 897, 1233)(840, 1176, 888, 1224)(842, 1178, 890, 1226)(843, 1179, 900, 1236)(846, 1182, 904, 1240)(847, 1183, 905, 1241)(849, 1185, 903, 1239)(851, 1187, 908, 1244)(852, 1188, 909, 1245)(853, 1189, 911, 1247)(855, 1191, 901, 1237)(856, 1192, 906, 1242)(857, 1193, 896, 1232)(859, 1195, 914, 1250)(861, 1197, 916, 1252)(863, 1199, 919, 1255)(864, 1200, 920, 1256)(865, 1201, 922, 1258)(867, 1203, 924, 1260)(868, 1204, 915, 1251)(870, 1206, 917, 1253)(871, 1207, 927, 1263)(874, 1210, 931, 1267)(875, 1211, 932, 1268)(877, 1213, 930, 1266)(879, 1215, 935, 1271)(880, 1216, 936, 1272)(881, 1217, 938, 1274)(883, 1219, 928, 1264)(884, 1220, 933, 1269)(885, 1221, 923, 1259)(891, 1227, 944, 1280)(894, 1230, 948, 1284)(898, 1234, 925, 1261)(899, 1235, 952, 1288)(902, 1238, 949, 1285)(907, 1243, 957, 1293)(910, 1246, 958, 1294)(912, 1248, 939, 1275)(913, 1249, 959, 1295)(918, 1254, 963, 1299)(921, 1257, 967, 1303)(926, 1262, 971, 1307)(929, 1265, 968, 1304)(934, 1270, 976, 1312)(937, 1273, 977, 1313)(940, 1276, 978, 1314)(941, 1277, 965, 1301)(942, 1278, 970, 1306)(943, 1279, 980, 1316)(945, 1281, 969, 1305)(946, 1282, 960, 1296)(947, 1283, 974, 1310)(950, 1286, 964, 1300)(951, 1287, 961, 1297)(953, 1289, 975, 1311)(954, 1290, 983, 1319)(955, 1291, 966, 1302)(956, 1292, 972, 1308)(962, 1298, 988, 1324)(973, 1309, 991, 1327)(979, 1315, 994, 1330)(981, 1317, 995, 1331)(982, 1318, 992, 1328)(984, 1320, 990, 1326)(985, 1321, 997, 1333)(986, 1322, 987, 1323)(989, 1325, 999, 1335)(993, 1329, 1001, 1337)(996, 1332, 1003, 1339)(998, 1334, 1004, 1340)(1000, 1336, 1005, 1341)(1002, 1338, 1006, 1342)(1007, 1343, 1008, 1344)
	L = (1, 675)(2, 677)(3, 680)(4, 673)(5, 684)(6, 674)(7, 685)(8, 689)(9, 690)(10, 676)(11, 681)(12, 695)(13, 696)(14, 678)(15, 679)(16, 699)(17, 703)(18, 705)(19, 706)(20, 682)(21, 683)(22, 708)(23, 712)(24, 714)(25, 715)(26, 686)(27, 717)(28, 687)(29, 688)(30, 720)(31, 692)(32, 691)(33, 726)(34, 728)(35, 729)(36, 730)(37, 693)(38, 694)(39, 733)(40, 698)(41, 697)(42, 739)(43, 741)(44, 742)(45, 744)(46, 745)(47, 700)(48, 747)(49, 701)(50, 702)(51, 750)(52, 704)(53, 753)(54, 732)(55, 707)(56, 759)(57, 760)(58, 762)(59, 763)(60, 709)(61, 765)(62, 710)(63, 711)(64, 768)(65, 713)(66, 771)(67, 719)(68, 716)(69, 777)(70, 778)(71, 718)(72, 781)(73, 783)(74, 784)(75, 786)(76, 787)(77, 721)(78, 789)(79, 722)(80, 723)(81, 793)(82, 724)(83, 725)(84, 796)(85, 727)(86, 799)(87, 795)(88, 804)(89, 731)(90, 807)(91, 809)(92, 810)(93, 812)(94, 813)(95, 734)(96, 815)(97, 735)(98, 736)(99, 819)(100, 737)(101, 738)(102, 822)(103, 740)(104, 825)(105, 821)(106, 830)(107, 743)(108, 805)(109, 749)(110, 746)(111, 835)(112, 836)(113, 748)(114, 837)(115, 839)(116, 840)(117, 842)(118, 843)(119, 751)(120, 752)(121, 820)(122, 847)(123, 754)(124, 849)(125, 755)(126, 756)(127, 811)(128, 757)(129, 758)(130, 854)(131, 845)(132, 853)(133, 761)(134, 779)(135, 767)(136, 764)(137, 863)(138, 864)(139, 766)(140, 865)(141, 867)(142, 868)(143, 870)(144, 871)(145, 769)(146, 770)(147, 794)(148, 875)(149, 772)(150, 877)(151, 773)(152, 774)(153, 785)(154, 775)(155, 776)(156, 882)(157, 873)(158, 881)(159, 780)(160, 887)(161, 782)(162, 889)(163, 859)(164, 894)(165, 791)(166, 788)(167, 883)(168, 898)(169, 790)(170, 899)(171, 901)(172, 902)(173, 903)(174, 792)(175, 879)(176, 906)(177, 904)(178, 907)(179, 797)(180, 798)(181, 800)(182, 900)(183, 801)(184, 802)(185, 803)(186, 896)(187, 806)(188, 914)(189, 808)(190, 916)(191, 831)(192, 921)(193, 817)(194, 814)(195, 855)(196, 925)(197, 816)(198, 926)(199, 928)(200, 929)(201, 930)(202, 818)(203, 851)(204, 933)(205, 931)(206, 934)(207, 823)(208, 824)(209, 826)(210, 927)(211, 827)(212, 828)(213, 829)(214, 923)(215, 941)(216, 832)(217, 841)(218, 833)(219, 834)(220, 944)(221, 936)(222, 943)(223, 938)(224, 838)(225, 857)(226, 951)(227, 846)(228, 844)(229, 945)(230, 953)(231, 850)(232, 954)(233, 848)(234, 956)(235, 950)(236, 947)(237, 946)(238, 852)(239, 959)(240, 856)(241, 858)(242, 960)(243, 860)(244, 869)(245, 861)(246, 862)(247, 963)(248, 909)(249, 962)(250, 911)(251, 866)(252, 885)(253, 970)(254, 874)(255, 872)(256, 964)(257, 972)(258, 878)(259, 973)(260, 876)(261, 975)(262, 969)(263, 966)(264, 965)(265, 880)(266, 978)(267, 884)(268, 886)(269, 977)(270, 888)(271, 890)(272, 976)(273, 891)(274, 892)(275, 893)(276, 974)(277, 895)(278, 897)(279, 913)(280, 980)(281, 912)(282, 910)(283, 905)(284, 984)(285, 908)(286, 985)(287, 986)(288, 958)(289, 915)(290, 917)(291, 957)(292, 918)(293, 919)(294, 920)(295, 955)(296, 922)(297, 924)(298, 940)(299, 988)(300, 939)(301, 937)(302, 932)(303, 992)(304, 935)(305, 993)(306, 994)(307, 942)(308, 995)(309, 948)(310, 949)(311, 952)(312, 989)(313, 987)(314, 998)(315, 961)(316, 999)(317, 967)(318, 968)(319, 971)(320, 981)(321, 979)(322, 1002)(323, 1003)(324, 982)(325, 983)(326, 1000)(327, 1005)(328, 990)(329, 991)(330, 996)(331, 1007)(332, 997)(333, 1008)(334, 1001)(335, 1004)(336, 1006)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.406
Graph:: simple bipartite
	v = 504 e = 672 f = 154
	degree seq :: [ 2^336, 4^168 ]

E8.408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^8, (Y3^-1 * Y1^-1)^8, (Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-2)^2, (Y3^2 * Y2 * Y3^-2 * Y2)^3 ]
Map:: polytopal
	R = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)(673, 1009, 674, 1010)(675, 1011, 679, 1015)(676, 1012, 681, 1017)(677, 1013, 683, 1019)(678, 1014, 685, 1021)(680, 1016, 688, 1024)(682, 1018, 691, 1027)(684, 1020, 694, 1030)(686, 1022, 697, 1033)(687, 1023, 699, 1035)(689, 1025, 702, 1038)(690, 1026, 704, 1040)(692, 1028, 707, 1043)(693, 1029, 708, 1044)(695, 1031, 711, 1047)(696, 1032, 713, 1049)(698, 1034, 716, 1052)(700, 1036, 718, 1054)(701, 1037, 720, 1056)(703, 1039, 723, 1059)(705, 1041, 725, 1061)(706, 1042, 727, 1063)(709, 1045, 731, 1067)(710, 1046, 733, 1069)(712, 1048, 736, 1072)(714, 1050, 738, 1074)(715, 1051, 740, 1076)(717, 1053, 743, 1079)(719, 1055, 746, 1082)(721, 1057, 748, 1084)(722, 1058, 750, 1086)(724, 1060, 753, 1089)(726, 1062, 756, 1092)(728, 1064, 758, 1094)(729, 1065, 752, 1088)(730, 1066, 761, 1097)(732, 1068, 764, 1100)(734, 1070, 766, 1102)(735, 1071, 768, 1104)(737, 1073, 771, 1107)(739, 1075, 774, 1110)(741, 1077, 776, 1112)(742, 1078, 770, 1106)(744, 1080, 780, 1116)(745, 1081, 782, 1118)(747, 1083, 785, 1121)(749, 1085, 788, 1124)(751, 1087, 790, 1126)(754, 1090, 794, 1130)(755, 1091, 796, 1132)(757, 1093, 799, 1135)(759, 1095, 802, 1138)(760, 1096, 803, 1139)(762, 1098, 806, 1142)(763, 1099, 808, 1144)(765, 1101, 811, 1147)(767, 1103, 814, 1150)(769, 1105, 816, 1152)(772, 1108, 820, 1156)(773, 1109, 822, 1158)(775, 1111, 825, 1161)(777, 1113, 828, 1164)(778, 1114, 829, 1165)(779, 1115, 831, 1167)(781, 1117, 834, 1170)(783, 1119, 836, 1172)(784, 1120, 824, 1160)(786, 1122, 840, 1176)(787, 1123, 842, 1178)(789, 1125, 845, 1181)(791, 1127, 817, 1153)(792, 1128, 848, 1184)(793, 1129, 850, 1186)(795, 1131, 853, 1189)(797, 1133, 855, 1191)(798, 1134, 810, 1146)(800, 1136, 858, 1194)(801, 1137, 860, 1196)(804, 1140, 830, 1166)(805, 1141, 863, 1199)(807, 1143, 866, 1202)(809, 1145, 868, 1204)(812, 1148, 872, 1208)(813, 1149, 874, 1210)(815, 1151, 877, 1213)(818, 1154, 880, 1216)(819, 1155, 882, 1218)(821, 1157, 885, 1221)(823, 1159, 887, 1223)(826, 1162, 890, 1226)(827, 1163, 892, 1228)(832, 1168, 896, 1232)(833, 1169, 898, 1234)(835, 1171, 901, 1237)(837, 1173, 878, 1214)(838, 1174, 904, 1240)(839, 1175, 905, 1241)(841, 1177, 879, 1215)(843, 1179, 875, 1211)(844, 1180, 900, 1236)(846, 1182, 869, 1205)(847, 1183, 873, 1209)(849, 1185, 888, 1224)(851, 1187, 915, 1251)(852, 1188, 917, 1253)(854, 1190, 918, 1254)(856, 1192, 881, 1217)(857, 1193, 919, 1255)(859, 1195, 894, 1230)(861, 1197, 893, 1229)(862, 1198, 891, 1227)(864, 1200, 924, 1260)(865, 1201, 926, 1262)(867, 1203, 929, 1265)(870, 1206, 932, 1268)(871, 1207, 933, 1269)(876, 1212, 928, 1264)(883, 1219, 943, 1279)(884, 1220, 945, 1281)(886, 1222, 946, 1282)(889, 1225, 947, 1283)(895, 1231, 951, 1287)(897, 1233, 938, 1274)(899, 1235, 950, 1286)(902, 1238, 949, 1285)(903, 1239, 939, 1275)(906, 1242, 957, 1293)(907, 1243, 940, 1276)(908, 1244, 937, 1273)(909, 1245, 936, 1272)(910, 1246, 925, 1261)(911, 1247, 931, 1267)(912, 1248, 935, 1271)(913, 1249, 944, 1280)(914, 1250, 962, 1298)(916, 1252, 941, 1277)(920, 1256, 966, 1302)(921, 1257, 930, 1266)(922, 1258, 927, 1263)(923, 1259, 969, 1305)(934, 1270, 975, 1311)(942, 1278, 980, 1316)(948, 1284, 984, 1320)(952, 1288, 988, 1324)(953, 1289, 977, 1313)(954, 1290, 986, 1322)(955, 1291, 985, 1321)(956, 1292, 990, 1326)(958, 1294, 983, 1319)(959, 1295, 971, 1307)(960, 1296, 982, 1318)(961, 1297, 981, 1317)(963, 1299, 979, 1315)(964, 1300, 978, 1314)(965, 1301, 976, 1312)(967, 1303, 973, 1309)(968, 1304, 972, 1308)(970, 1306, 996, 1332)(974, 1310, 998, 1334)(987, 1323, 1003, 1339)(989, 1325, 999, 1335)(991, 1327, 997, 1333)(992, 1328, 1001, 1337)(993, 1329, 1000, 1336)(994, 1330, 1004, 1340)(995, 1331, 1005, 1341)(1002, 1338, 1006, 1342)(1007, 1343, 1008, 1344)
	L = (1, 675)(2, 677)(3, 680)(4, 673)(5, 684)(6, 674)(7, 685)(8, 689)(9, 690)(10, 676)(11, 681)(12, 695)(13, 696)(14, 678)(15, 679)(16, 699)(17, 703)(18, 705)(19, 706)(20, 682)(21, 683)(22, 708)(23, 712)(24, 714)(25, 715)(26, 686)(27, 717)(28, 687)(29, 688)(30, 720)(31, 692)(32, 691)(33, 726)(34, 728)(35, 729)(36, 730)(37, 693)(38, 694)(39, 733)(40, 698)(41, 697)(42, 739)(43, 741)(44, 742)(45, 744)(46, 745)(47, 700)(48, 747)(49, 701)(50, 702)(51, 750)(52, 704)(53, 753)(54, 732)(55, 707)(56, 759)(57, 760)(58, 762)(59, 763)(60, 709)(61, 765)(62, 710)(63, 711)(64, 768)(65, 713)(66, 771)(67, 719)(68, 716)(69, 777)(70, 778)(71, 718)(72, 781)(73, 783)(74, 784)(75, 786)(76, 787)(77, 721)(78, 789)(79, 722)(80, 723)(81, 793)(82, 724)(83, 725)(84, 796)(85, 727)(86, 799)(87, 795)(88, 804)(89, 731)(90, 807)(91, 809)(92, 810)(93, 812)(94, 813)(95, 734)(96, 815)(97, 735)(98, 736)(99, 819)(100, 737)(101, 738)(102, 822)(103, 740)(104, 825)(105, 821)(106, 830)(107, 743)(108, 831)(109, 749)(110, 746)(111, 837)(112, 838)(113, 748)(114, 841)(115, 843)(116, 844)(117, 846)(118, 847)(119, 751)(120, 752)(121, 851)(122, 852)(123, 754)(124, 854)(125, 755)(126, 756)(127, 857)(128, 757)(129, 758)(130, 860)(131, 848)(132, 859)(133, 761)(134, 863)(135, 767)(136, 764)(137, 869)(138, 870)(139, 766)(140, 873)(141, 875)(142, 876)(143, 878)(144, 879)(145, 769)(146, 770)(147, 883)(148, 884)(149, 772)(150, 886)(151, 773)(152, 774)(153, 889)(154, 775)(155, 776)(156, 892)(157, 880)(158, 891)(159, 895)(160, 779)(161, 780)(162, 898)(163, 782)(164, 901)(165, 897)(166, 802)(167, 785)(168, 905)(169, 791)(170, 788)(171, 909)(172, 798)(173, 790)(174, 911)(175, 912)(176, 913)(177, 792)(178, 794)(179, 916)(180, 907)(181, 904)(182, 908)(183, 903)(184, 797)(185, 920)(186, 899)(187, 800)(188, 902)(189, 801)(190, 803)(191, 923)(192, 805)(193, 806)(194, 926)(195, 808)(196, 929)(197, 925)(198, 828)(199, 811)(200, 933)(201, 817)(202, 814)(203, 937)(204, 824)(205, 816)(206, 939)(207, 940)(208, 941)(209, 818)(210, 820)(211, 944)(212, 935)(213, 932)(214, 936)(215, 931)(216, 823)(217, 948)(218, 927)(219, 826)(220, 930)(221, 827)(222, 829)(223, 952)(224, 953)(225, 832)(226, 954)(227, 833)(228, 834)(229, 955)(230, 835)(231, 836)(232, 928)(233, 956)(234, 839)(235, 840)(236, 842)(237, 958)(238, 845)(239, 849)(240, 960)(241, 961)(242, 850)(243, 962)(244, 856)(245, 853)(246, 855)(247, 858)(248, 967)(249, 861)(250, 862)(251, 970)(252, 971)(253, 864)(254, 972)(255, 865)(256, 866)(257, 973)(258, 867)(259, 868)(260, 900)(261, 974)(262, 871)(263, 872)(264, 874)(265, 976)(266, 877)(267, 881)(268, 978)(269, 979)(270, 882)(271, 980)(272, 888)(273, 885)(274, 887)(275, 890)(276, 985)(277, 893)(278, 894)(279, 896)(280, 919)(281, 981)(282, 982)(283, 989)(284, 914)(285, 991)(286, 906)(287, 910)(288, 992)(289, 993)(290, 994)(291, 915)(292, 917)(293, 918)(294, 988)(295, 921)(296, 922)(297, 924)(298, 947)(299, 963)(300, 964)(301, 997)(302, 942)(303, 999)(304, 934)(305, 938)(306, 1000)(307, 1001)(308, 1002)(309, 943)(310, 945)(311, 946)(312, 996)(313, 949)(314, 950)(315, 951)(316, 1003)(317, 965)(318, 957)(319, 966)(320, 959)(321, 968)(322, 995)(323, 969)(324, 1005)(325, 983)(326, 975)(327, 984)(328, 977)(329, 986)(330, 987)(331, 1007)(332, 990)(333, 1008)(334, 998)(335, 1004)(336, 1006)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.405
Graph:: simple bipartite
	v = 504 e = 672 f = 154
	degree seq :: [ 2^336, 4^168 ]

E8.409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^3, (R * Y2 * Y3)^2, Y1^8, (Y3 * Y1^3 * Y3 * Y1^-3)^2, (Y3 * Y1^2 * Y3 * Y1^-2)^3 ]
Map:: polytopal
	R = (1, 337, 2, 338, 5, 341, 11, 347, 21, 357, 20, 356, 10, 346, 4, 340)(3, 339, 7, 343, 15, 351, 27, 363, 45, 381, 31, 367, 17, 353, 8, 344)(6, 342, 13, 349, 25, 361, 41, 377, 66, 402, 44, 380, 26, 362, 14, 350)(9, 345, 18, 354, 32, 368, 52, 388, 77, 413, 49, 385, 29, 365, 16, 352)(12, 348, 23, 359, 39, 375, 62, 398, 95, 431, 65, 401, 40, 376, 24, 360)(19, 355, 34, 370, 55, 391, 85, 421, 126, 462, 84, 420, 54, 390, 33, 369)(22, 358, 37, 373, 60, 396, 91, 427, 137, 473, 94, 430, 61, 397, 38, 374)(28, 364, 47, 383, 74, 410, 111, 447, 164, 500, 114, 450, 75, 411, 48, 384)(30, 366, 50, 386, 78, 414, 117, 453, 154, 490, 103, 439, 68, 404, 42, 378)(35, 371, 57, 393, 88, 424, 131, 467, 189, 525, 130, 466, 87, 423, 56, 392)(36, 372, 58, 394, 89, 425, 133, 469, 191, 527, 136, 472, 90, 426, 59, 395)(43, 379, 69, 405, 104, 440, 155, 491, 207, 543, 145, 481, 97, 433, 63, 399)(46, 382, 72, 408, 109, 445, 161, 497, 201, 537, 141, 477, 110, 446, 73, 409)(51, 387, 80, 416, 120, 456, 176, 512, 240, 576, 175, 511, 119, 455, 79, 415)(53, 389, 82, 418, 123, 459, 179, 515, 243, 579, 182, 518, 124, 460, 83, 419)(64, 400, 98, 434, 146, 482, 208, 544, 259, 595, 199, 535, 139, 475, 92, 428)(67, 403, 101, 437, 151, 487, 213, 549, 255, 591, 195, 531, 152, 488, 102, 438)(70, 406, 106, 442, 158, 494, 127, 463, 185, 521, 221, 557, 157, 493, 105, 441)(71, 407, 107, 443, 159, 495, 218, 554, 276, 612, 225, 561, 160, 496, 108, 444)(76, 412, 115, 451, 169, 505, 192, 528, 252, 588, 231, 567, 166, 502, 112, 448)(81, 417, 121, 457, 178, 514, 210, 546, 147, 483, 99, 435, 148, 484, 122, 458)(86, 422, 128, 464, 186, 522, 247, 583, 294, 630, 249, 585, 187, 523, 129, 465)(93, 429, 140, 476, 200, 536, 260, 596, 298, 634, 253, 589, 193, 529, 134, 470)(96, 432, 143, 479, 204, 540, 264, 600, 248, 584, 188, 524, 205, 541, 144, 480)(100, 436, 149, 485, 211, 547, 269, 605, 232, 568, 168, 504, 212, 548, 150, 486)(113, 449, 167, 503, 209, 545, 270, 606, 310, 646, 281, 617, 227, 563, 162, 498)(116, 452, 171, 507, 235, 571, 172, 508, 236, 572, 287, 623, 234, 570, 170, 506)(118, 454, 173, 509, 237, 573, 288, 624, 314, 650, 278, 614, 238, 574, 174, 510)(125, 461, 183, 519, 198, 534, 138, 474, 197, 533, 257, 593, 245, 581, 180, 516)(132, 468, 135, 471, 194, 530, 254, 590, 299, 635, 296, 632, 250, 586, 190, 526)(142, 478, 202, 538, 262, 598, 305, 641, 275, 611, 217, 553, 263, 599, 203, 539)(153, 489, 216, 552, 261, 597, 226, 562, 280, 616, 312, 648, 274, 610, 214, 550)(156, 492, 219, 555, 277, 613, 313, 649, 290, 626, 242, 578, 181, 517, 220, 556)(163, 499, 196, 532, 256, 592, 301, 637, 324, 660, 309, 645, 268, 604, 223, 559)(165, 501, 229, 565, 283, 619, 318, 654, 289, 625, 239, 575, 284, 620, 230, 566)(177, 513, 224, 560, 279, 615, 315, 651, 323, 659, 306, 642, 266, 602, 241, 577)(184, 520, 222, 558, 272, 608, 228, 564, 282, 618, 317, 653, 293, 629, 246, 582)(206, 542, 267, 603, 300, 636, 273, 609, 311, 647, 328, 664, 308, 644, 265, 601)(215, 551, 251, 587, 233, 569, 286, 622, 320, 656, 326, 662, 304, 640, 271, 607)(244, 580, 291, 627, 322, 658, 332, 668, 319, 655, 285, 621, 297, 633, 292, 628)(258, 594, 303, 639, 295, 631, 307, 643, 327, 663, 333, 669, 325, 661, 302, 638)(316, 652, 330, 666, 321, 657, 331, 667, 335, 671, 336, 672, 334, 670, 329, 665)(673, 1009)(674, 1010)(675, 1011)(676, 1012)(677, 1013)(678, 1014)(679, 1015)(680, 1016)(681, 1017)(682, 1018)(683, 1019)(684, 1020)(685, 1021)(686, 1022)(687, 1023)(688, 1024)(689, 1025)(690, 1026)(691, 1027)(692, 1028)(693, 1029)(694, 1030)(695, 1031)(696, 1032)(697, 1033)(698, 1034)(699, 1035)(700, 1036)(701, 1037)(702, 1038)(703, 1039)(704, 1040)(705, 1041)(706, 1042)(707, 1043)(708, 1044)(709, 1045)(710, 1046)(711, 1047)(712, 1048)(713, 1049)(714, 1050)(715, 1051)(716, 1052)(717, 1053)(718, 1054)(719, 1055)(720, 1056)(721, 1057)(722, 1058)(723, 1059)(724, 1060)(725, 1061)(726, 1062)(727, 1063)(728, 1064)(729, 1065)(730, 1066)(731, 1067)(732, 1068)(733, 1069)(734, 1070)(735, 1071)(736, 1072)(737, 1073)(738, 1074)(739, 1075)(740, 1076)(741, 1077)(742, 1078)(743, 1079)(744, 1080)(745, 1081)(746, 1082)(747, 1083)(748, 1084)(749, 1085)(750, 1086)(751, 1087)(752, 1088)(753, 1089)(754, 1090)(755, 1091)(756, 1092)(757, 1093)(758, 1094)(759, 1095)(760, 1096)(761, 1097)(762, 1098)(763, 1099)(764, 1100)(765, 1101)(766, 1102)(767, 1103)(768, 1104)(769, 1105)(770, 1106)(771, 1107)(772, 1108)(773, 1109)(774, 1110)(775, 1111)(776, 1112)(777, 1113)(778, 1114)(779, 1115)(780, 1116)(781, 1117)(782, 1118)(783, 1119)(784, 1120)(785, 1121)(786, 1122)(787, 1123)(788, 1124)(789, 1125)(790, 1126)(791, 1127)(792, 1128)(793, 1129)(794, 1130)(795, 1131)(796, 1132)(797, 1133)(798, 1134)(799, 1135)(800, 1136)(801, 1137)(802, 1138)(803, 1139)(804, 1140)(805, 1141)(806, 1142)(807, 1143)(808, 1144)(809, 1145)(810, 1146)(811, 1147)(812, 1148)(813, 1149)(814, 1150)(815, 1151)(816, 1152)(817, 1153)(818, 1154)(819, 1155)(820, 1156)(821, 1157)(822, 1158)(823, 1159)(824, 1160)(825, 1161)(826, 1162)(827, 1163)(828, 1164)(829, 1165)(830, 1166)(831, 1167)(832, 1168)(833, 1169)(834, 1170)(835, 1171)(836, 1172)(837, 1173)(838, 1174)(839, 1175)(840, 1176)(841, 1177)(842, 1178)(843, 1179)(844, 1180)(845, 1181)(846, 1182)(847, 1183)(848, 1184)(849, 1185)(850, 1186)(851, 1187)(852, 1188)(853, 1189)(854, 1190)(855, 1191)(856, 1192)(857, 1193)(858, 1194)(859, 1195)(860, 1196)(861, 1197)(862, 1198)(863, 1199)(864, 1200)(865, 1201)(866, 1202)(867, 1203)(868, 1204)(869, 1205)(870, 1206)(871, 1207)(872, 1208)(873, 1209)(874, 1210)(875, 1211)(876, 1212)(877, 1213)(878, 1214)(879, 1215)(880, 1216)(881, 1217)(882, 1218)(883, 1219)(884, 1220)(885, 1221)(886, 1222)(887, 1223)(888, 1224)(889, 1225)(890, 1226)(891, 1227)(892, 1228)(893, 1229)(894, 1230)(895, 1231)(896, 1232)(897, 1233)(898, 1234)(899, 1235)(900, 1236)(901, 1237)(902, 1238)(903, 1239)(904, 1240)(905, 1241)(906, 1242)(907, 1243)(908, 1244)(909, 1245)(910, 1246)(911, 1247)(912, 1248)(913, 1249)(914, 1250)(915, 1251)(916, 1252)(917, 1253)(918, 1254)(919, 1255)(920, 1256)(921, 1257)(922, 1258)(923, 1259)(924, 1260)(925, 1261)(926, 1262)(927, 1263)(928, 1264)(929, 1265)(930, 1266)(931, 1267)(932, 1268)(933, 1269)(934, 1270)(935, 1271)(936, 1272)(937, 1273)(938, 1274)(939, 1275)(940, 1276)(941, 1277)(942, 1278)(943, 1279)(944, 1280)(945, 1281)(946, 1282)(947, 1283)(948, 1284)(949, 1285)(950, 1286)(951, 1287)(952, 1288)(953, 1289)(954, 1290)(955, 1291)(956, 1292)(957, 1293)(958, 1294)(959, 1295)(960, 1296)(961, 1297)(962, 1298)(963, 1299)(964, 1300)(965, 1301)(966, 1302)(967, 1303)(968, 1304)(969, 1305)(970, 1306)(971, 1307)(972, 1308)(973, 1309)(974, 1310)(975, 1311)(976, 1312)(977, 1313)(978, 1314)(979, 1315)(980, 1316)(981, 1317)(982, 1318)(983, 1319)(984, 1320)(985, 1321)(986, 1322)(987, 1323)(988, 1324)(989, 1325)(990, 1326)(991, 1327)(992, 1328)(993, 1329)(994, 1330)(995, 1331)(996, 1332)(997, 1333)(998, 1334)(999, 1335)(1000, 1336)(1001, 1337)(1002, 1338)(1003, 1339)(1004, 1340)(1005, 1341)(1006, 1342)(1007, 1343)(1008, 1344)
	L = (1, 675)(2, 678)(3, 673)(4, 681)(5, 684)(6, 674)(7, 688)(8, 685)(9, 676)(10, 691)(11, 694)(12, 677)(13, 680)(14, 695)(15, 700)(16, 679)(17, 702)(18, 705)(19, 682)(20, 707)(21, 708)(22, 683)(23, 686)(24, 709)(25, 714)(26, 715)(27, 718)(28, 687)(29, 719)(30, 689)(31, 723)(32, 725)(33, 690)(34, 728)(35, 692)(36, 693)(37, 696)(38, 730)(39, 735)(40, 736)(41, 739)(42, 697)(43, 698)(44, 742)(45, 743)(46, 699)(47, 701)(48, 744)(49, 748)(50, 751)(51, 703)(52, 753)(53, 704)(54, 754)(55, 758)(56, 706)(57, 731)(58, 710)(59, 729)(60, 764)(61, 765)(62, 768)(63, 711)(64, 712)(65, 771)(66, 772)(67, 713)(68, 773)(69, 777)(70, 716)(71, 717)(72, 720)(73, 779)(74, 784)(75, 785)(76, 721)(77, 788)(78, 790)(79, 722)(80, 780)(81, 724)(82, 726)(83, 793)(84, 797)(85, 799)(86, 727)(87, 800)(88, 804)(89, 806)(90, 807)(91, 810)(92, 732)(93, 733)(94, 813)(95, 814)(96, 734)(97, 815)(98, 819)(99, 737)(100, 738)(101, 740)(102, 821)(103, 825)(104, 828)(105, 741)(106, 822)(107, 745)(108, 752)(109, 834)(110, 835)(111, 837)(112, 746)(113, 747)(114, 840)(115, 842)(116, 749)(117, 844)(118, 750)(119, 845)(120, 849)(121, 755)(122, 843)(123, 852)(124, 853)(125, 756)(126, 856)(127, 757)(128, 759)(129, 857)(130, 860)(131, 848)(132, 760)(133, 864)(134, 761)(135, 762)(136, 867)(137, 868)(138, 763)(139, 869)(140, 873)(141, 766)(142, 767)(143, 769)(144, 874)(145, 878)(146, 881)(147, 770)(148, 875)(149, 774)(150, 778)(151, 886)(152, 887)(153, 775)(154, 889)(155, 890)(156, 776)(157, 891)(158, 894)(159, 895)(160, 896)(161, 898)(162, 781)(163, 782)(164, 900)(165, 783)(166, 901)(167, 904)(168, 786)(169, 905)(170, 787)(171, 794)(172, 789)(173, 791)(174, 908)(175, 911)(176, 803)(177, 792)(178, 914)(179, 916)(180, 795)(181, 796)(182, 897)(183, 918)(184, 798)(185, 801)(186, 920)(187, 910)(188, 802)(189, 913)(190, 912)(191, 923)(192, 805)(193, 924)(194, 927)(195, 808)(196, 809)(197, 811)(198, 928)(199, 930)(200, 933)(201, 812)(202, 816)(203, 820)(204, 937)(205, 938)(206, 817)(207, 940)(208, 941)(209, 818)(210, 942)(211, 943)(212, 944)(213, 945)(214, 823)(215, 824)(216, 947)(217, 826)(218, 827)(219, 829)(220, 948)(221, 950)(222, 830)(223, 831)(224, 832)(225, 854)(226, 833)(227, 952)(228, 836)(229, 838)(230, 954)(231, 957)(232, 839)(233, 841)(234, 958)(235, 935)(236, 846)(237, 961)(238, 859)(239, 847)(240, 862)(241, 861)(242, 850)(243, 951)(244, 851)(245, 963)(246, 855)(247, 967)(248, 858)(249, 959)(250, 956)(251, 863)(252, 865)(253, 969)(254, 972)(255, 866)(256, 870)(257, 974)(258, 871)(259, 976)(260, 977)(261, 872)(262, 978)(263, 907)(264, 979)(265, 876)(266, 877)(267, 981)(268, 879)(269, 880)(270, 882)(271, 883)(272, 884)(273, 885)(274, 983)(275, 888)(276, 892)(277, 986)(278, 893)(279, 915)(280, 899)(281, 988)(282, 902)(283, 991)(284, 922)(285, 903)(286, 906)(287, 921)(288, 993)(289, 909)(290, 982)(291, 917)(292, 987)(293, 973)(294, 992)(295, 919)(296, 989)(297, 925)(298, 995)(299, 996)(300, 926)(301, 965)(302, 929)(303, 998)(304, 931)(305, 932)(306, 934)(307, 936)(308, 999)(309, 939)(310, 962)(311, 946)(312, 1001)(313, 1002)(314, 949)(315, 964)(316, 953)(317, 968)(318, 1003)(319, 955)(320, 966)(321, 960)(322, 997)(323, 970)(324, 971)(325, 994)(326, 975)(327, 980)(328, 1006)(329, 984)(330, 985)(331, 990)(332, 1007)(333, 1008)(334, 1000)(335, 1004)(336, 1005)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.404
Graph:: simple bipartite
	v = 378 e = 672 f = 280
	degree seq :: [ 2^336, 16^42 ]

E8.410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^3, Y1^8, (Y3 * Y1^-3)^4, Y3 * Y1^3 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-3 * Y3 * Y1^2 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 337, 2, 338, 5, 341, 11, 347, 21, 357, 20, 356, 10, 346, 4, 340)(3, 339, 7, 343, 15, 351, 27, 363, 45, 381, 31, 367, 17, 353, 8, 344)(6, 342, 13, 349, 25, 361, 41, 377, 66, 402, 44, 380, 26, 362, 14, 350)(9, 345, 18, 354, 32, 368, 52, 388, 77, 413, 49, 385, 29, 365, 16, 352)(12, 348, 23, 359, 39, 375, 62, 398, 95, 431, 65, 401, 40, 376, 24, 360)(19, 355, 34, 370, 55, 391, 85, 421, 126, 462, 84, 420, 54, 390, 33, 369)(22, 358, 37, 373, 60, 396, 91, 427, 137, 473, 94, 430, 61, 397, 38, 374)(28, 364, 47, 383, 74, 410, 111, 447, 165, 501, 114, 450, 75, 411, 48, 384)(30, 366, 50, 386, 78, 414, 117, 453, 154, 490, 103, 439, 68, 404, 42, 378)(35, 371, 57, 393, 88, 424, 131, 467, 184, 520, 130, 466, 87, 423, 56, 392)(36, 372, 58, 394, 89, 425, 133, 469, 187, 523, 136, 472, 90, 426, 59, 395)(43, 379, 69, 405, 104, 440, 155, 491, 200, 536, 145, 481, 97, 433, 63, 399)(46, 382, 72, 408, 109, 445, 161, 497, 219, 555, 164, 500, 110, 446, 73, 409)(51, 387, 80, 416, 120, 456, 173, 509, 193, 529, 138, 474, 119, 455, 79, 415)(53, 389, 82, 418, 123, 459, 153, 489, 209, 545, 178, 514, 124, 460, 83, 419)(64, 400, 98, 434, 146, 482, 201, 537, 172, 508, 118, 454, 139, 475, 92, 428)(67, 403, 101, 437, 151, 487, 125, 461, 179, 515, 208, 544, 152, 488, 102, 438)(70, 406, 106, 442, 158, 494, 213, 549, 243, 579, 188, 524, 157, 493, 105, 441)(71, 407, 107, 443, 159, 495, 215, 551, 269, 605, 218, 554, 160, 496, 108, 444)(76, 412, 115, 451, 168, 504, 199, 535, 144, 480, 96, 432, 143, 479, 112, 448)(81, 417, 121, 457, 175, 511, 191, 527, 244, 580, 234, 570, 176, 512, 122, 458)(86, 422, 128, 464, 162, 498, 113, 449, 166, 502, 223, 559, 183, 519, 129, 465)(93, 429, 140, 476, 194, 530, 247, 583, 212, 548, 156, 492, 189, 525, 134, 470)(99, 435, 148, 484, 204, 540, 255, 591, 241, 577, 185, 521, 203, 539, 147, 483)(100, 436, 149, 485, 205, 541, 257, 593, 302, 638, 260, 596, 206, 542, 150, 486)(116, 452, 170, 506, 228, 564, 279, 615, 308, 644, 270, 606, 227, 563, 169, 505)(127, 463, 181, 517, 195, 531, 141, 477, 196, 532, 248, 584, 239, 575, 182, 518)(132, 468, 135, 471, 190, 526, 177, 513, 235, 571, 254, 590, 202, 538, 186, 522)(142, 478, 197, 533, 249, 585, 294, 630, 320, 656, 297, 633, 250, 586, 198, 534)(163, 499, 220, 556, 253, 589, 300, 636, 278, 614, 226, 562, 271, 607, 216, 552)(167, 503, 225, 561, 256, 592, 296, 632, 282, 618, 231, 567, 277, 613, 224, 560)(171, 507, 229, 565, 273, 609, 221, 557, 274, 610, 310, 646, 281, 617, 230, 566)(174, 510, 217, 553, 258, 594, 207, 543, 261, 597, 292, 628, 276, 612, 232, 568)(180, 516, 238, 574, 286, 622, 313, 649, 325, 661, 311, 647, 285, 621, 237, 573)(192, 528, 245, 581, 290, 626, 317, 653, 329, 665, 319, 655, 291, 627, 246, 582)(210, 546, 264, 600, 293, 629, 318, 654, 306, 642, 267, 603, 305, 641, 263, 599)(211, 547, 265, 601, 303, 639, 262, 598, 304, 640, 280, 616, 233, 569, 266, 602)(214, 550, 259, 595, 295, 631, 251, 587, 298, 634, 284, 620, 236, 572, 268, 604)(222, 558, 252, 588, 299, 635, 283, 619, 312, 648, 321, 657, 301, 637, 275, 611)(240, 576, 287, 623, 314, 650, 326, 662, 332, 668, 324, 660, 309, 645, 272, 608)(242, 578, 288, 624, 315, 651, 327, 663, 333, 669, 328, 664, 316, 652, 289, 625)(307, 643, 323, 659, 331, 667, 335, 671, 336, 672, 334, 670, 330, 666, 322, 658)(673, 1009)(674, 1010)(675, 1011)(676, 1012)(677, 1013)(678, 1014)(679, 1015)(680, 1016)(681, 1017)(682, 1018)(683, 1019)(684, 1020)(685, 1021)(686, 1022)(687, 1023)(688, 1024)(689, 1025)(690, 1026)(691, 1027)(692, 1028)(693, 1029)(694, 1030)(695, 1031)(696, 1032)(697, 1033)(698, 1034)(699, 1035)(700, 1036)(701, 1037)(702, 1038)(703, 1039)(704, 1040)(705, 1041)(706, 1042)(707, 1043)(708, 1044)(709, 1045)(710, 1046)(711, 1047)(712, 1048)(713, 1049)(714, 1050)(715, 1051)(716, 1052)(717, 1053)(718, 1054)(719, 1055)(720, 1056)(721, 1057)(722, 1058)(723, 1059)(724, 1060)(725, 1061)(726, 1062)(727, 1063)(728, 1064)(729, 1065)(730, 1066)(731, 1067)(732, 1068)(733, 1069)(734, 1070)(735, 1071)(736, 1072)(737, 1073)(738, 1074)(739, 1075)(740, 1076)(741, 1077)(742, 1078)(743, 1079)(744, 1080)(745, 1081)(746, 1082)(747, 1083)(748, 1084)(749, 1085)(750, 1086)(751, 1087)(752, 1088)(753, 1089)(754, 1090)(755, 1091)(756, 1092)(757, 1093)(758, 1094)(759, 1095)(760, 1096)(761, 1097)(762, 1098)(763, 1099)(764, 1100)(765, 1101)(766, 1102)(767, 1103)(768, 1104)(769, 1105)(770, 1106)(771, 1107)(772, 1108)(773, 1109)(774, 1110)(775, 1111)(776, 1112)(777, 1113)(778, 1114)(779, 1115)(780, 1116)(781, 1117)(782, 1118)(783, 1119)(784, 1120)(785, 1121)(786, 1122)(787, 1123)(788, 1124)(789, 1125)(790, 1126)(791, 1127)(792, 1128)(793, 1129)(794, 1130)(795, 1131)(796, 1132)(797, 1133)(798, 1134)(799, 1135)(800, 1136)(801, 1137)(802, 1138)(803, 1139)(804, 1140)(805, 1141)(806, 1142)(807, 1143)(808, 1144)(809, 1145)(810, 1146)(811, 1147)(812, 1148)(813, 1149)(814, 1150)(815, 1151)(816, 1152)(817, 1153)(818, 1154)(819, 1155)(820, 1156)(821, 1157)(822, 1158)(823, 1159)(824, 1160)(825, 1161)(826, 1162)(827, 1163)(828, 1164)(829, 1165)(830, 1166)(831, 1167)(832, 1168)(833, 1169)(834, 1170)(835, 1171)(836, 1172)(837, 1173)(838, 1174)(839, 1175)(840, 1176)(841, 1177)(842, 1178)(843, 1179)(844, 1180)(845, 1181)(846, 1182)(847, 1183)(848, 1184)(849, 1185)(850, 1186)(851, 1187)(852, 1188)(853, 1189)(854, 1190)(855, 1191)(856, 1192)(857, 1193)(858, 1194)(859, 1195)(860, 1196)(861, 1197)(862, 1198)(863, 1199)(864, 1200)(865, 1201)(866, 1202)(867, 1203)(868, 1204)(869, 1205)(870, 1206)(871, 1207)(872, 1208)(873, 1209)(874, 1210)(875, 1211)(876, 1212)(877, 1213)(878, 1214)(879, 1215)(880, 1216)(881, 1217)(882, 1218)(883, 1219)(884, 1220)(885, 1221)(886, 1222)(887, 1223)(888, 1224)(889, 1225)(890, 1226)(891, 1227)(892, 1228)(893, 1229)(894, 1230)(895, 1231)(896, 1232)(897, 1233)(898, 1234)(899, 1235)(900, 1236)(901, 1237)(902, 1238)(903, 1239)(904, 1240)(905, 1241)(906, 1242)(907, 1243)(908, 1244)(909, 1245)(910, 1246)(911, 1247)(912, 1248)(913, 1249)(914, 1250)(915, 1251)(916, 1252)(917, 1253)(918, 1254)(919, 1255)(920, 1256)(921, 1257)(922, 1258)(923, 1259)(924, 1260)(925, 1261)(926, 1262)(927, 1263)(928, 1264)(929, 1265)(930, 1266)(931, 1267)(932, 1268)(933, 1269)(934, 1270)(935, 1271)(936, 1272)(937, 1273)(938, 1274)(939, 1275)(940, 1276)(941, 1277)(942, 1278)(943, 1279)(944, 1280)(945, 1281)(946, 1282)(947, 1283)(948, 1284)(949, 1285)(950, 1286)(951, 1287)(952, 1288)(953, 1289)(954, 1290)(955, 1291)(956, 1292)(957, 1293)(958, 1294)(959, 1295)(960, 1296)(961, 1297)(962, 1298)(963, 1299)(964, 1300)(965, 1301)(966, 1302)(967, 1303)(968, 1304)(969, 1305)(970, 1306)(971, 1307)(972, 1308)(973, 1309)(974, 1310)(975, 1311)(976, 1312)(977, 1313)(978, 1314)(979, 1315)(980, 1316)(981, 1317)(982, 1318)(983, 1319)(984, 1320)(985, 1321)(986, 1322)(987, 1323)(988, 1324)(989, 1325)(990, 1326)(991, 1327)(992, 1328)(993, 1329)(994, 1330)(995, 1331)(996, 1332)(997, 1333)(998, 1334)(999, 1335)(1000, 1336)(1001, 1337)(1002, 1338)(1003, 1339)(1004, 1340)(1005, 1341)(1006, 1342)(1007, 1343)(1008, 1344)
	L = (1, 675)(2, 678)(3, 673)(4, 681)(5, 684)(6, 674)(7, 688)(8, 685)(9, 676)(10, 691)(11, 694)(12, 677)(13, 680)(14, 695)(15, 700)(16, 679)(17, 702)(18, 705)(19, 682)(20, 707)(21, 708)(22, 683)(23, 686)(24, 709)(25, 714)(26, 715)(27, 718)(28, 687)(29, 719)(30, 689)(31, 723)(32, 725)(33, 690)(34, 728)(35, 692)(36, 693)(37, 696)(38, 730)(39, 735)(40, 736)(41, 739)(42, 697)(43, 698)(44, 742)(45, 743)(46, 699)(47, 701)(48, 744)(49, 748)(50, 751)(51, 703)(52, 753)(53, 704)(54, 754)(55, 758)(56, 706)(57, 731)(58, 710)(59, 729)(60, 764)(61, 765)(62, 768)(63, 711)(64, 712)(65, 771)(66, 772)(67, 713)(68, 773)(69, 777)(70, 716)(71, 717)(72, 720)(73, 779)(74, 784)(75, 785)(76, 721)(77, 788)(78, 790)(79, 722)(80, 780)(81, 724)(82, 726)(83, 793)(84, 797)(85, 799)(86, 727)(87, 800)(88, 804)(89, 806)(90, 807)(91, 810)(92, 732)(93, 733)(94, 813)(95, 814)(96, 734)(97, 815)(98, 819)(99, 737)(100, 738)(101, 740)(102, 821)(103, 825)(104, 828)(105, 741)(106, 822)(107, 745)(108, 752)(109, 834)(110, 835)(111, 817)(112, 746)(113, 747)(114, 839)(115, 841)(116, 749)(117, 843)(118, 750)(119, 811)(120, 846)(121, 755)(122, 842)(123, 823)(124, 849)(125, 756)(126, 852)(127, 757)(128, 759)(129, 853)(130, 833)(131, 857)(132, 760)(133, 860)(134, 761)(135, 762)(136, 863)(137, 864)(138, 763)(139, 791)(140, 867)(141, 766)(142, 767)(143, 769)(144, 869)(145, 783)(146, 874)(147, 770)(148, 870)(149, 774)(150, 778)(151, 795)(152, 879)(153, 775)(154, 882)(155, 883)(156, 776)(157, 861)(158, 886)(159, 888)(160, 889)(161, 802)(162, 781)(163, 782)(164, 893)(165, 894)(166, 896)(167, 786)(168, 898)(169, 787)(170, 794)(171, 789)(172, 901)(173, 903)(174, 792)(175, 862)(176, 905)(177, 796)(178, 908)(179, 909)(180, 798)(181, 801)(182, 910)(183, 866)(184, 912)(185, 803)(186, 875)(187, 914)(188, 805)(189, 829)(190, 847)(191, 808)(192, 809)(193, 917)(194, 855)(195, 812)(196, 918)(197, 816)(198, 820)(199, 923)(200, 924)(201, 925)(202, 818)(203, 858)(204, 928)(205, 930)(206, 931)(207, 824)(208, 934)(209, 935)(210, 826)(211, 827)(212, 937)(213, 939)(214, 830)(215, 942)(216, 831)(217, 832)(218, 929)(219, 944)(220, 945)(221, 836)(222, 837)(223, 948)(224, 838)(225, 947)(226, 840)(227, 943)(228, 952)(229, 844)(230, 936)(231, 845)(232, 949)(233, 848)(234, 955)(235, 956)(236, 850)(237, 851)(238, 854)(239, 953)(240, 856)(241, 959)(242, 859)(243, 960)(244, 961)(245, 865)(246, 868)(247, 964)(248, 965)(249, 967)(250, 968)(251, 871)(252, 872)(253, 873)(254, 972)(255, 973)(256, 876)(257, 890)(258, 877)(259, 878)(260, 966)(261, 975)(262, 880)(263, 881)(264, 902)(265, 884)(266, 971)(267, 885)(268, 977)(269, 979)(270, 887)(271, 899)(272, 891)(273, 892)(274, 981)(275, 897)(276, 895)(277, 904)(278, 970)(279, 983)(280, 900)(281, 911)(282, 962)(283, 906)(284, 907)(285, 976)(286, 982)(287, 913)(288, 915)(289, 916)(290, 954)(291, 990)(292, 919)(293, 920)(294, 932)(295, 921)(296, 922)(297, 989)(298, 950)(299, 938)(300, 926)(301, 927)(302, 994)(303, 933)(304, 957)(305, 940)(306, 987)(307, 941)(308, 995)(309, 946)(310, 958)(311, 951)(312, 988)(313, 996)(314, 993)(315, 978)(316, 984)(317, 969)(318, 963)(319, 999)(320, 1002)(321, 986)(322, 974)(323, 980)(324, 985)(325, 1003)(326, 1000)(327, 991)(328, 998)(329, 1006)(330, 992)(331, 997)(332, 1007)(333, 1008)(334, 1001)(335, 1004)(336, 1005)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.403
Graph:: simple bipartite
	v = 378 e = 672 f = 280
	degree seq :: [ 2^336, 16^42 ]

E8.411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, Y2^8, (Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2)^2, (Y2^2 * Y1 * Y2^-2 * Y1)^3 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 9, 345)(5, 341, 11, 347)(6, 342, 13, 349)(8, 344, 16, 352)(10, 346, 19, 355)(12, 348, 22, 358)(14, 350, 25, 361)(15, 351, 27, 363)(17, 353, 30, 366)(18, 354, 32, 368)(20, 356, 35, 371)(21, 357, 36, 372)(23, 359, 39, 375)(24, 360, 41, 377)(26, 362, 44, 380)(28, 364, 46, 382)(29, 365, 48, 384)(31, 367, 51, 387)(33, 369, 53, 389)(34, 370, 55, 391)(37, 373, 59, 395)(38, 374, 61, 397)(40, 376, 64, 400)(42, 378, 66, 402)(43, 379, 68, 404)(45, 381, 71, 407)(47, 383, 74, 410)(49, 385, 76, 412)(50, 386, 78, 414)(52, 388, 81, 417)(54, 390, 84, 420)(56, 392, 86, 422)(57, 393, 80, 416)(58, 394, 89, 425)(60, 396, 92, 428)(62, 398, 94, 430)(63, 399, 96, 432)(65, 401, 99, 435)(67, 403, 102, 438)(69, 405, 104, 440)(70, 406, 98, 434)(72, 408, 108, 444)(73, 409, 110, 446)(75, 411, 113, 449)(77, 413, 116, 452)(79, 415, 118, 454)(82, 418, 122, 458)(83, 419, 124, 460)(85, 421, 127, 463)(87, 423, 130, 466)(88, 424, 131, 467)(90, 426, 134, 470)(91, 427, 136, 472)(93, 429, 139, 475)(95, 431, 142, 478)(97, 433, 144, 480)(100, 436, 148, 484)(101, 437, 150, 486)(103, 439, 153, 489)(105, 441, 156, 492)(106, 442, 157, 493)(107, 443, 159, 495)(109, 445, 162, 498)(111, 447, 164, 500)(112, 448, 152, 488)(114, 450, 168, 504)(115, 451, 170, 506)(117, 453, 173, 509)(119, 455, 145, 481)(120, 456, 176, 512)(121, 457, 178, 514)(123, 459, 181, 517)(125, 461, 183, 519)(126, 462, 138, 474)(128, 464, 186, 522)(129, 465, 188, 524)(132, 468, 158, 494)(133, 469, 191, 527)(135, 471, 194, 530)(137, 473, 196, 532)(140, 476, 200, 536)(141, 477, 202, 538)(143, 479, 205, 541)(146, 482, 208, 544)(147, 483, 210, 546)(149, 485, 213, 549)(151, 487, 215, 551)(154, 490, 218, 554)(155, 491, 220, 556)(160, 496, 224, 560)(161, 497, 226, 562)(163, 499, 229, 565)(165, 501, 206, 542)(166, 502, 232, 568)(167, 503, 233, 569)(169, 505, 207, 543)(171, 507, 203, 539)(172, 508, 228, 564)(174, 510, 197, 533)(175, 511, 201, 537)(177, 513, 216, 552)(179, 515, 243, 579)(180, 516, 245, 581)(182, 518, 246, 582)(184, 520, 209, 545)(185, 521, 247, 583)(187, 523, 222, 558)(189, 525, 221, 557)(190, 526, 219, 555)(192, 528, 252, 588)(193, 529, 254, 590)(195, 531, 257, 593)(198, 534, 260, 596)(199, 535, 261, 597)(204, 540, 256, 592)(211, 547, 271, 607)(212, 548, 273, 609)(214, 550, 274, 610)(217, 553, 275, 611)(223, 559, 279, 615)(225, 561, 266, 602)(227, 563, 278, 614)(230, 566, 277, 613)(231, 567, 267, 603)(234, 570, 285, 621)(235, 571, 268, 604)(236, 572, 265, 601)(237, 573, 264, 600)(238, 574, 253, 589)(239, 575, 259, 595)(240, 576, 263, 599)(241, 577, 272, 608)(242, 578, 290, 626)(244, 580, 269, 605)(248, 584, 294, 630)(249, 585, 258, 594)(250, 586, 255, 591)(251, 587, 297, 633)(262, 598, 303, 639)(270, 606, 308, 644)(276, 612, 312, 648)(280, 616, 316, 652)(281, 617, 305, 641)(282, 618, 314, 650)(283, 619, 313, 649)(284, 620, 318, 654)(286, 622, 311, 647)(287, 623, 299, 635)(288, 624, 310, 646)(289, 625, 309, 645)(291, 627, 307, 643)(292, 628, 306, 642)(293, 629, 304, 640)(295, 631, 301, 637)(296, 632, 300, 636)(298, 634, 324, 660)(302, 638, 326, 662)(315, 651, 331, 667)(317, 653, 327, 663)(319, 655, 325, 661)(320, 656, 329, 665)(321, 657, 328, 664)(322, 658, 332, 668)(323, 659, 333, 669)(330, 666, 334, 670)(335, 671, 336, 672)(673, 1009, 675, 1011, 680, 1016, 689, 1025, 703, 1039, 692, 1028, 682, 1018, 676, 1012)(674, 1010, 677, 1013, 684, 1020, 695, 1031, 712, 1048, 698, 1034, 686, 1022, 678, 1014)(679, 1015, 685, 1021, 696, 1032, 714, 1050, 739, 1075, 719, 1055, 700, 1036, 687, 1023)(681, 1017, 690, 1026, 705, 1041, 726, 1062, 732, 1068, 709, 1045, 693, 1029, 683, 1019)(688, 1024, 699, 1035, 717, 1053, 744, 1080, 781, 1117, 749, 1085, 721, 1057, 701, 1037)(691, 1027, 706, 1042, 728, 1064, 759, 1095, 795, 1131, 754, 1090, 724, 1060, 704, 1040)(694, 1030, 708, 1044, 730, 1066, 762, 1098, 807, 1143, 767, 1103, 734, 1070, 710, 1046)(697, 1033, 715, 1051, 741, 1077, 777, 1113, 821, 1157, 772, 1108, 737, 1073, 713, 1049)(702, 1038, 720, 1056, 747, 1083, 786, 1122, 841, 1177, 791, 1127, 751, 1087, 722, 1058)(707, 1043, 729, 1065, 760, 1096, 804, 1140, 859, 1195, 800, 1136, 757, 1093, 727, 1063)(711, 1047, 733, 1069, 765, 1101, 812, 1148, 873, 1209, 817, 1153, 769, 1105, 735, 1071)(716, 1052, 742, 1078, 778, 1114, 830, 1166, 891, 1227, 826, 1162, 775, 1111, 740, 1076)(718, 1054, 745, 1081, 783, 1119, 837, 1173, 897, 1233, 832, 1168, 779, 1115, 743, 1079)(723, 1059, 750, 1086, 789, 1125, 846, 1182, 911, 1247, 849, 1185, 792, 1128, 752, 1088)(725, 1061, 753, 1089, 793, 1129, 851, 1187, 916, 1252, 856, 1192, 797, 1133, 755, 1091)(731, 1067, 763, 1099, 809, 1145, 869, 1205, 925, 1261, 864, 1200, 805, 1141, 761, 1097)(736, 1072, 768, 1104, 815, 1151, 878, 1214, 939, 1275, 881, 1217, 818, 1154, 770, 1106)(738, 1074, 771, 1107, 819, 1155, 883, 1219, 944, 1280, 888, 1224, 823, 1159, 773, 1109)(746, 1082, 784, 1120, 838, 1174, 802, 1138, 860, 1196, 902, 1238, 835, 1171, 782, 1118)(748, 1084, 787, 1123, 843, 1179, 909, 1245, 958, 1294, 906, 1242, 839, 1175, 785, 1121)(756, 1092, 796, 1132, 854, 1190, 908, 1244, 842, 1178, 788, 1124, 844, 1180, 798, 1134)(758, 1094, 799, 1135, 857, 1193, 920, 1256, 967, 1303, 921, 1257, 861, 1197, 801, 1137)(764, 1100, 810, 1146, 870, 1206, 828, 1164, 892, 1228, 930, 1266, 867, 1203, 808, 1144)(766, 1102, 813, 1149, 875, 1211, 937, 1273, 976, 1312, 934, 1270, 871, 1207, 811, 1147)(774, 1110, 822, 1158, 886, 1222, 936, 1272, 874, 1210, 814, 1150, 876, 1212, 824, 1160)(776, 1112, 825, 1161, 889, 1225, 948, 1284, 985, 1321, 949, 1285, 893, 1229, 827, 1163)(780, 1116, 831, 1167, 895, 1231, 952, 1288, 919, 1255, 858, 1194, 899, 1235, 833, 1169)(790, 1126, 847, 1183, 912, 1248, 960, 1296, 992, 1328, 959, 1295, 910, 1246, 845, 1181)(794, 1130, 852, 1188, 907, 1243, 840, 1176, 905, 1241, 956, 1292, 914, 1250, 850, 1186)(803, 1139, 848, 1184, 913, 1249, 961, 1297, 993, 1329, 968, 1304, 922, 1258, 862, 1198)(806, 1142, 863, 1199, 923, 1259, 970, 1306, 947, 1283, 890, 1226, 927, 1263, 865, 1201)(816, 1152, 879, 1215, 940, 1276, 978, 1314, 1000, 1336, 977, 1313, 938, 1274, 877, 1213)(820, 1156, 884, 1220, 935, 1271, 872, 1208, 933, 1269, 974, 1310, 942, 1278, 882, 1218)(829, 1165, 880, 1216, 941, 1277, 979, 1315, 1001, 1337, 986, 1322, 950, 1286, 894, 1230)(834, 1170, 898, 1234, 954, 1290, 982, 1318, 945, 1281, 885, 1221, 932, 1268, 900, 1236)(836, 1172, 901, 1237, 955, 1291, 989, 1325, 965, 1301, 918, 1254, 855, 1191, 903, 1239)(853, 1189, 904, 1240, 928, 1264, 866, 1202, 926, 1262, 972, 1308, 964, 1300, 917, 1253)(868, 1204, 929, 1265, 973, 1309, 997, 1333, 983, 1319, 946, 1282, 887, 1223, 931, 1267)(896, 1232, 953, 1289, 981, 1317, 943, 1279, 980, 1316, 1002, 1338, 987, 1323, 951, 1287)(915, 1251, 962, 1298, 994, 1330, 995, 1331, 969, 1305, 924, 1260, 971, 1307, 963, 1299)(957, 1293, 991, 1327, 966, 1302, 988, 1324, 1003, 1339, 1007, 1343, 1004, 1340, 990, 1326)(975, 1311, 999, 1335, 984, 1320, 996, 1332, 1005, 1341, 1008, 1344, 1006, 1342, 998, 1334)
	L = (1, 674)(2, 673)(3, 679)(4, 681)(5, 683)(6, 685)(7, 675)(8, 688)(9, 676)(10, 691)(11, 677)(12, 694)(13, 678)(14, 697)(15, 699)(16, 680)(17, 702)(18, 704)(19, 682)(20, 707)(21, 708)(22, 684)(23, 711)(24, 713)(25, 686)(26, 716)(27, 687)(28, 718)(29, 720)(30, 689)(31, 723)(32, 690)(33, 725)(34, 727)(35, 692)(36, 693)(37, 731)(38, 733)(39, 695)(40, 736)(41, 696)(42, 738)(43, 740)(44, 698)(45, 743)(46, 700)(47, 746)(48, 701)(49, 748)(50, 750)(51, 703)(52, 753)(53, 705)(54, 756)(55, 706)(56, 758)(57, 752)(58, 761)(59, 709)(60, 764)(61, 710)(62, 766)(63, 768)(64, 712)(65, 771)(66, 714)(67, 774)(68, 715)(69, 776)(70, 770)(71, 717)(72, 780)(73, 782)(74, 719)(75, 785)(76, 721)(77, 788)(78, 722)(79, 790)(80, 729)(81, 724)(82, 794)(83, 796)(84, 726)(85, 799)(86, 728)(87, 802)(88, 803)(89, 730)(90, 806)(91, 808)(92, 732)(93, 811)(94, 734)(95, 814)(96, 735)(97, 816)(98, 742)(99, 737)(100, 820)(101, 822)(102, 739)(103, 825)(104, 741)(105, 828)(106, 829)(107, 831)(108, 744)(109, 834)(110, 745)(111, 836)(112, 824)(113, 747)(114, 840)(115, 842)(116, 749)(117, 845)(118, 751)(119, 817)(120, 848)(121, 850)(122, 754)(123, 853)(124, 755)(125, 855)(126, 810)(127, 757)(128, 858)(129, 860)(130, 759)(131, 760)(132, 830)(133, 863)(134, 762)(135, 866)(136, 763)(137, 868)(138, 798)(139, 765)(140, 872)(141, 874)(142, 767)(143, 877)(144, 769)(145, 791)(146, 880)(147, 882)(148, 772)(149, 885)(150, 773)(151, 887)(152, 784)(153, 775)(154, 890)(155, 892)(156, 777)(157, 778)(158, 804)(159, 779)(160, 896)(161, 898)(162, 781)(163, 901)(164, 783)(165, 878)(166, 904)(167, 905)(168, 786)(169, 879)(170, 787)(171, 875)(172, 900)(173, 789)(174, 869)(175, 873)(176, 792)(177, 888)(178, 793)(179, 915)(180, 917)(181, 795)(182, 918)(183, 797)(184, 881)(185, 919)(186, 800)(187, 894)(188, 801)(189, 893)(190, 891)(191, 805)(192, 924)(193, 926)(194, 807)(195, 929)(196, 809)(197, 846)(198, 932)(199, 933)(200, 812)(201, 847)(202, 813)(203, 843)(204, 928)(205, 815)(206, 837)(207, 841)(208, 818)(209, 856)(210, 819)(211, 943)(212, 945)(213, 821)(214, 946)(215, 823)(216, 849)(217, 947)(218, 826)(219, 862)(220, 827)(221, 861)(222, 859)(223, 951)(224, 832)(225, 938)(226, 833)(227, 950)(228, 844)(229, 835)(230, 949)(231, 939)(232, 838)(233, 839)(234, 957)(235, 940)(236, 937)(237, 936)(238, 925)(239, 931)(240, 935)(241, 944)(242, 962)(243, 851)(244, 941)(245, 852)(246, 854)(247, 857)(248, 966)(249, 930)(250, 927)(251, 969)(252, 864)(253, 910)(254, 865)(255, 922)(256, 876)(257, 867)(258, 921)(259, 911)(260, 870)(261, 871)(262, 975)(263, 912)(264, 909)(265, 908)(266, 897)(267, 903)(268, 907)(269, 916)(270, 980)(271, 883)(272, 913)(273, 884)(274, 886)(275, 889)(276, 984)(277, 902)(278, 899)(279, 895)(280, 988)(281, 977)(282, 986)(283, 985)(284, 990)(285, 906)(286, 983)(287, 971)(288, 982)(289, 981)(290, 914)(291, 979)(292, 978)(293, 976)(294, 920)(295, 973)(296, 972)(297, 923)(298, 996)(299, 959)(300, 968)(301, 967)(302, 998)(303, 934)(304, 965)(305, 953)(306, 964)(307, 963)(308, 942)(309, 961)(310, 960)(311, 958)(312, 948)(313, 955)(314, 954)(315, 1003)(316, 952)(317, 999)(318, 956)(319, 997)(320, 1001)(321, 1000)(322, 1004)(323, 1005)(324, 970)(325, 991)(326, 974)(327, 989)(328, 993)(329, 992)(330, 1006)(331, 987)(332, 994)(333, 995)(334, 1002)(335, 1008)(336, 1007)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.413
Graph:: bipartite
	v = 210 e = 672 f = 448
	degree seq :: [ 4^168, 16^42 ]

E8.412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^3, (Y3 * Y2^-1)^3, Y2^8, (Y1 * Y2^3)^4, Y2^2 * Y1 * Y2^-3 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 9, 345)(5, 341, 11, 347)(6, 342, 13, 349)(8, 344, 16, 352)(10, 346, 19, 355)(12, 348, 22, 358)(14, 350, 25, 361)(15, 351, 27, 363)(17, 353, 30, 366)(18, 354, 32, 368)(20, 356, 35, 371)(21, 357, 36, 372)(23, 359, 39, 375)(24, 360, 41, 377)(26, 362, 44, 380)(28, 364, 46, 382)(29, 365, 48, 384)(31, 367, 51, 387)(33, 369, 53, 389)(34, 370, 55, 391)(37, 373, 59, 395)(38, 374, 61, 397)(40, 376, 64, 400)(42, 378, 66, 402)(43, 379, 68, 404)(45, 381, 71, 407)(47, 383, 74, 410)(49, 385, 76, 412)(50, 386, 78, 414)(52, 388, 81, 417)(54, 390, 84, 420)(56, 392, 86, 422)(57, 393, 80, 416)(58, 394, 89, 425)(60, 396, 92, 428)(62, 398, 94, 430)(63, 399, 96, 432)(65, 401, 99, 435)(67, 403, 102, 438)(69, 405, 104, 440)(70, 406, 98, 434)(72, 408, 108, 444)(73, 409, 110, 446)(75, 411, 113, 449)(77, 413, 116, 452)(79, 415, 118, 454)(82, 418, 122, 458)(83, 419, 124, 460)(85, 421, 127, 463)(87, 423, 130, 466)(88, 424, 131, 467)(90, 426, 134, 470)(91, 427, 136, 472)(93, 429, 139, 475)(95, 431, 142, 478)(97, 433, 144, 480)(100, 436, 148, 484)(101, 437, 150, 486)(103, 439, 153, 489)(105, 441, 156, 492)(106, 442, 157, 493)(107, 443, 133, 469)(109, 445, 160, 496)(111, 447, 162, 498)(112, 448, 152, 488)(114, 450, 154, 490)(115, 451, 166, 502)(117, 453, 169, 505)(119, 455, 172, 508)(120, 456, 173, 509)(121, 457, 147, 483)(123, 459, 176, 512)(125, 461, 178, 514)(126, 462, 138, 474)(128, 464, 140, 476)(129, 465, 182, 518)(132, 468, 186, 522)(135, 471, 188, 524)(137, 473, 190, 526)(141, 477, 194, 530)(143, 479, 197, 533)(145, 481, 200, 536)(146, 482, 201, 537)(149, 485, 204, 540)(151, 487, 206, 542)(155, 491, 210, 546)(158, 494, 214, 550)(159, 495, 215, 551)(161, 497, 217, 553)(163, 499, 220, 556)(164, 500, 221, 557)(165, 501, 223, 559)(167, 503, 225, 561)(168, 504, 216, 552)(170, 506, 218, 554)(171, 507, 228, 564)(174, 510, 232, 568)(175, 511, 233, 569)(177, 513, 231, 567)(179, 515, 236, 572)(180, 516, 237, 573)(181, 517, 239, 575)(183, 519, 229, 565)(184, 520, 234, 570)(185, 521, 224, 560)(187, 523, 242, 578)(189, 525, 244, 580)(191, 527, 247, 583)(192, 528, 248, 584)(193, 529, 250, 586)(195, 531, 252, 588)(196, 532, 243, 579)(198, 534, 245, 581)(199, 535, 255, 591)(202, 538, 259, 595)(203, 539, 260, 596)(205, 541, 258, 594)(207, 543, 263, 599)(208, 544, 264, 600)(209, 545, 266, 602)(211, 547, 256, 592)(212, 548, 261, 597)(213, 549, 251, 587)(219, 555, 272, 608)(222, 558, 276, 612)(226, 562, 253, 589)(227, 563, 280, 616)(230, 566, 277, 613)(235, 571, 285, 621)(238, 574, 286, 622)(240, 576, 267, 603)(241, 577, 287, 623)(246, 582, 291, 627)(249, 585, 295, 631)(254, 590, 299, 635)(257, 593, 296, 632)(262, 598, 304, 640)(265, 601, 305, 641)(268, 604, 306, 642)(269, 605, 293, 629)(270, 606, 298, 634)(271, 607, 308, 644)(273, 609, 297, 633)(274, 610, 288, 624)(275, 611, 302, 638)(278, 614, 292, 628)(279, 615, 289, 625)(281, 617, 303, 639)(282, 618, 311, 647)(283, 619, 294, 630)(284, 620, 300, 636)(290, 626, 316, 652)(301, 637, 319, 655)(307, 643, 322, 658)(309, 645, 323, 659)(310, 646, 320, 656)(312, 648, 318, 654)(313, 649, 325, 661)(314, 650, 315, 651)(317, 653, 327, 663)(321, 657, 329, 665)(324, 660, 331, 667)(326, 662, 332, 668)(328, 664, 333, 669)(330, 666, 334, 670)(335, 671, 336, 672)(673, 1009, 675, 1011, 680, 1016, 689, 1025, 703, 1039, 692, 1028, 682, 1018, 676, 1012)(674, 1010, 677, 1013, 684, 1020, 695, 1031, 712, 1048, 698, 1034, 686, 1022, 678, 1014)(679, 1015, 685, 1021, 696, 1032, 714, 1050, 739, 1075, 719, 1055, 700, 1036, 687, 1023)(681, 1017, 690, 1026, 705, 1041, 726, 1062, 732, 1068, 709, 1045, 693, 1029, 683, 1019)(688, 1024, 699, 1035, 717, 1053, 744, 1080, 781, 1117, 749, 1085, 721, 1057, 701, 1037)(691, 1027, 706, 1042, 728, 1064, 759, 1095, 795, 1131, 754, 1090, 724, 1060, 704, 1040)(694, 1030, 708, 1044, 730, 1066, 762, 1098, 807, 1143, 767, 1103, 734, 1070, 710, 1046)(697, 1033, 715, 1051, 741, 1077, 777, 1113, 821, 1157, 772, 1108, 737, 1073, 713, 1049)(702, 1038, 720, 1056, 747, 1083, 786, 1122, 837, 1173, 791, 1127, 751, 1087, 722, 1058)(707, 1043, 729, 1065, 760, 1096, 804, 1140, 853, 1189, 800, 1136, 757, 1093, 727, 1063)(711, 1047, 733, 1069, 765, 1101, 812, 1148, 865, 1201, 817, 1153, 769, 1105, 735, 1071)(716, 1052, 742, 1078, 778, 1114, 830, 1166, 881, 1217, 826, 1162, 775, 1111, 740, 1076)(718, 1054, 745, 1081, 783, 1119, 835, 1171, 859, 1195, 806, 1142, 779, 1115, 743, 1079)(723, 1059, 750, 1086, 789, 1125, 842, 1178, 899, 1235, 846, 1182, 792, 1128, 752, 1088)(725, 1061, 753, 1089, 793, 1129, 820, 1156, 875, 1211, 851, 1187, 797, 1133, 755, 1091)(731, 1067, 763, 1099, 809, 1145, 863, 1199, 831, 1167, 780, 1116, 805, 1141, 761, 1097)(736, 1072, 768, 1104, 815, 1151, 870, 1206, 926, 1262, 874, 1210, 818, 1154, 770, 1106)(738, 1074, 771, 1107, 819, 1155, 794, 1130, 847, 1183, 879, 1215, 823, 1159, 773, 1109)(746, 1082, 784, 1120, 836, 1172, 894, 1230, 943, 1279, 890, 1226, 833, 1169, 782, 1118)(748, 1084, 787, 1123, 839, 1175, 883, 1219, 827, 1163, 776, 1112, 825, 1161, 785, 1121)(756, 1092, 796, 1132, 849, 1185, 904, 1240, 954, 1290, 910, 1246, 852, 1188, 798, 1134)(758, 1094, 799, 1135, 811, 1147, 766, 1102, 813, 1149, 867, 1203, 855, 1191, 801, 1137)(764, 1100, 810, 1146, 864, 1200, 921, 1257, 962, 1298, 917, 1253, 861, 1197, 808, 1144)(774, 1110, 822, 1158, 877, 1213, 931, 1267, 973, 1309, 937, 1273, 880, 1216, 824, 1160)(788, 1124, 840, 1176, 898, 1234, 951, 1287, 913, 1249, 858, 1194, 896, 1232, 838, 1174)(790, 1126, 843, 1179, 901, 1237, 945, 1281, 891, 1227, 834, 1170, 889, 1225, 841, 1177)(802, 1138, 854, 1190, 900, 1236, 844, 1180, 902, 1238, 953, 1289, 912, 1248, 856, 1192)(803, 1139, 845, 1181, 903, 1239, 850, 1186, 907, 1243, 950, 1286, 897, 1233, 857, 1193)(814, 1150, 868, 1204, 925, 1261, 970, 1306, 940, 1276, 886, 1222, 923, 1259, 866, 1202)(816, 1152, 871, 1207, 928, 1264, 964, 1300, 918, 1254, 862, 1198, 916, 1252, 869, 1205)(828, 1164, 882, 1218, 927, 1263, 872, 1208, 929, 1265, 972, 1308, 939, 1275, 884, 1220)(829, 1165, 873, 1209, 930, 1266, 878, 1214, 934, 1270, 969, 1305, 924, 1260, 885, 1221)(832, 1168, 887, 1223, 941, 1277, 977, 1313, 993, 1329, 979, 1315, 942, 1278, 888, 1224)(848, 1184, 906, 1242, 956, 1292, 984, 1320, 989, 1325, 967, 1303, 955, 1291, 905, 1241)(860, 1196, 914, 1250, 960, 1296, 958, 1294, 985, 1321, 987, 1323, 961, 1297, 915, 1251)(876, 1212, 933, 1269, 975, 1311, 992, 1328, 981, 1317, 948, 1284, 974, 1310, 932, 1268)(892, 1228, 944, 1280, 976, 1312, 935, 1271, 966, 1302, 920, 1256, 909, 1245, 946, 1282)(893, 1229, 936, 1272, 965, 1301, 919, 1255, 963, 1299, 957, 1293, 908, 1244, 947, 1283)(895, 1231, 938, 1274, 978, 1314, 994, 1330, 1002, 1338, 996, 1332, 982, 1318, 949, 1285)(911, 1247, 959, 1295, 986, 1322, 998, 1334, 1000, 1336, 990, 1326, 968, 1304, 922, 1258)(952, 1288, 980, 1316, 995, 1331, 1003, 1339, 1007, 1343, 1004, 1340, 997, 1333, 983, 1319)(971, 1307, 988, 1324, 999, 1335, 1005, 1341, 1008, 1344, 1006, 1342, 1001, 1337, 991, 1327)
	L = (1, 674)(2, 673)(3, 679)(4, 681)(5, 683)(6, 685)(7, 675)(8, 688)(9, 676)(10, 691)(11, 677)(12, 694)(13, 678)(14, 697)(15, 699)(16, 680)(17, 702)(18, 704)(19, 682)(20, 707)(21, 708)(22, 684)(23, 711)(24, 713)(25, 686)(26, 716)(27, 687)(28, 718)(29, 720)(30, 689)(31, 723)(32, 690)(33, 725)(34, 727)(35, 692)(36, 693)(37, 731)(38, 733)(39, 695)(40, 736)(41, 696)(42, 738)(43, 740)(44, 698)(45, 743)(46, 700)(47, 746)(48, 701)(49, 748)(50, 750)(51, 703)(52, 753)(53, 705)(54, 756)(55, 706)(56, 758)(57, 752)(58, 761)(59, 709)(60, 764)(61, 710)(62, 766)(63, 768)(64, 712)(65, 771)(66, 714)(67, 774)(68, 715)(69, 776)(70, 770)(71, 717)(72, 780)(73, 782)(74, 719)(75, 785)(76, 721)(77, 788)(78, 722)(79, 790)(80, 729)(81, 724)(82, 794)(83, 796)(84, 726)(85, 799)(86, 728)(87, 802)(88, 803)(89, 730)(90, 806)(91, 808)(92, 732)(93, 811)(94, 734)(95, 814)(96, 735)(97, 816)(98, 742)(99, 737)(100, 820)(101, 822)(102, 739)(103, 825)(104, 741)(105, 828)(106, 829)(107, 805)(108, 744)(109, 832)(110, 745)(111, 834)(112, 824)(113, 747)(114, 826)(115, 838)(116, 749)(117, 841)(118, 751)(119, 844)(120, 845)(121, 819)(122, 754)(123, 848)(124, 755)(125, 850)(126, 810)(127, 757)(128, 812)(129, 854)(130, 759)(131, 760)(132, 858)(133, 779)(134, 762)(135, 860)(136, 763)(137, 862)(138, 798)(139, 765)(140, 800)(141, 866)(142, 767)(143, 869)(144, 769)(145, 872)(146, 873)(147, 793)(148, 772)(149, 876)(150, 773)(151, 878)(152, 784)(153, 775)(154, 786)(155, 882)(156, 777)(157, 778)(158, 886)(159, 887)(160, 781)(161, 889)(162, 783)(163, 892)(164, 893)(165, 895)(166, 787)(167, 897)(168, 888)(169, 789)(170, 890)(171, 900)(172, 791)(173, 792)(174, 904)(175, 905)(176, 795)(177, 903)(178, 797)(179, 908)(180, 909)(181, 911)(182, 801)(183, 901)(184, 906)(185, 896)(186, 804)(187, 914)(188, 807)(189, 916)(190, 809)(191, 919)(192, 920)(193, 922)(194, 813)(195, 924)(196, 915)(197, 815)(198, 917)(199, 927)(200, 817)(201, 818)(202, 931)(203, 932)(204, 821)(205, 930)(206, 823)(207, 935)(208, 936)(209, 938)(210, 827)(211, 928)(212, 933)(213, 923)(214, 830)(215, 831)(216, 840)(217, 833)(218, 842)(219, 944)(220, 835)(221, 836)(222, 948)(223, 837)(224, 857)(225, 839)(226, 925)(227, 952)(228, 843)(229, 855)(230, 949)(231, 849)(232, 846)(233, 847)(234, 856)(235, 957)(236, 851)(237, 852)(238, 958)(239, 853)(240, 939)(241, 959)(242, 859)(243, 868)(244, 861)(245, 870)(246, 963)(247, 863)(248, 864)(249, 967)(250, 865)(251, 885)(252, 867)(253, 898)(254, 971)(255, 871)(256, 883)(257, 968)(258, 877)(259, 874)(260, 875)(261, 884)(262, 976)(263, 879)(264, 880)(265, 977)(266, 881)(267, 912)(268, 978)(269, 965)(270, 970)(271, 980)(272, 891)(273, 969)(274, 960)(275, 974)(276, 894)(277, 902)(278, 964)(279, 961)(280, 899)(281, 975)(282, 983)(283, 966)(284, 972)(285, 907)(286, 910)(287, 913)(288, 946)(289, 951)(290, 988)(291, 918)(292, 950)(293, 941)(294, 955)(295, 921)(296, 929)(297, 945)(298, 942)(299, 926)(300, 956)(301, 991)(302, 947)(303, 953)(304, 934)(305, 937)(306, 940)(307, 994)(308, 943)(309, 995)(310, 992)(311, 954)(312, 990)(313, 997)(314, 987)(315, 986)(316, 962)(317, 999)(318, 984)(319, 973)(320, 982)(321, 1001)(322, 979)(323, 981)(324, 1003)(325, 985)(326, 1004)(327, 989)(328, 1005)(329, 993)(330, 1006)(331, 996)(332, 998)(333, 1000)(334, 1002)(335, 1008)(336, 1007)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E8.414
Graph:: bipartite
	v = 210 e = 672 f = 448
	degree seq :: [ 4^168, 16^42 ]

E8.413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^8, Y3^2 * Y1^-1 * Y3^-3 * Y1 * Y3^3 * Y1^-1 * Y3^4 * Y1^-1, (Y3 * Y2^-1)^8, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^-1 * Y3 * Y1^-1 * Y3^-3 * Y1^-1 ]
Map:: polytopal
	R = (1, 337, 2, 338, 4, 340)(3, 339, 8, 344, 10, 346)(5, 341, 12, 348, 6, 342)(7, 343, 15, 351, 11, 347)(9, 345, 18, 354, 20, 356)(13, 349, 25, 361, 23, 359)(14, 350, 24, 360, 28, 364)(16, 352, 31, 367, 29, 365)(17, 353, 33, 369, 21, 357)(19, 355, 36, 372, 38, 374)(22, 358, 30, 366, 42, 378)(26, 362, 47, 383, 45, 381)(27, 363, 48, 384, 50, 386)(32, 368, 56, 392, 54, 390)(34, 370, 59, 395, 57, 393)(35, 371, 61, 397, 39, 375)(37, 373, 64, 400, 65, 401)(40, 376, 58, 394, 69, 405)(41, 377, 70, 406, 71, 407)(43, 379, 46, 382, 74, 410)(44, 380, 75, 411, 51, 387)(49, 385, 81, 417, 82, 418)(52, 388, 55, 391, 86, 422)(53, 389, 87, 423, 72, 408)(60, 396, 96, 432, 94, 430)(62, 398, 99, 435, 97, 433)(63, 399, 101, 437, 66, 402)(67, 403, 98, 434, 107, 443)(68, 404, 108, 444, 109, 445)(73, 409, 114, 450, 116, 452)(76, 412, 120, 456, 118, 454)(77, 413, 79, 415, 122, 458)(78, 414, 123, 459, 117, 453)(80, 416, 126, 462, 83, 419)(84, 420, 119, 455, 132, 468)(85, 421, 133, 469, 135, 471)(88, 424, 139, 475, 137, 473)(89, 425, 91, 427, 141, 477)(90, 426, 142, 478, 136, 472)(92, 428, 95, 431, 146, 482)(93, 429, 147, 483, 110, 446)(100, 436, 156, 492, 154, 490)(102, 438, 159, 495, 157, 493)(103, 439, 161, 497, 104, 440)(105, 441, 158, 494, 165, 501)(106, 442, 166, 502, 167, 503)(111, 447, 172, 508, 112, 448)(113, 449, 138, 474, 176, 512)(115, 451, 178, 514, 179, 515)(121, 457, 185, 521, 187, 523)(124, 460, 191, 527, 189, 525)(125, 461, 192, 528, 188, 524)(127, 463, 196, 532, 194, 530)(128, 464, 198, 534, 129, 465)(130, 466, 195, 531, 202, 538)(131, 467, 203, 539, 204, 540)(134, 470, 207, 543, 208, 544)(140, 476, 214, 550, 216, 552)(143, 479, 220, 556, 218, 554)(144, 480, 221, 557, 217, 553)(145, 481, 223, 559, 225, 561)(148, 484, 229, 565, 227, 563)(149, 485, 151, 487, 231, 567)(150, 486, 232, 568, 226, 562)(152, 488, 155, 491, 236, 572)(153, 489, 237, 573, 168, 504)(160, 496, 244, 580, 199, 535)(162, 498, 247, 583, 245, 581)(163, 499, 246, 582, 215, 551)(164, 500, 249, 585, 250, 586)(169, 505, 255, 591, 170, 506)(171, 507, 228, 564, 259, 595)(173, 509, 248, 584, 260, 596)(174, 510, 261, 597, 263, 599)(175, 511, 264, 600, 265, 601)(177, 513, 267, 603, 180, 516)(181, 517, 190, 526, 271, 607)(182, 518, 184, 520, 272, 608)(183, 519, 273, 609, 205, 541)(186, 522, 230, 566, 276, 612)(193, 529, 279, 615, 256, 592)(197, 533, 282, 618, 234, 570)(200, 536, 283, 619, 224, 560)(201, 537, 284, 620, 242, 578)(206, 542, 289, 625, 209, 545)(210, 546, 219, 555, 292, 628)(211, 547, 213, 549, 293, 629)(212, 548, 294, 630, 266, 602)(222, 558, 297, 633, 268, 604)(233, 569, 275, 611, 290, 626)(235, 571, 280, 616, 262, 598)(238, 574, 305, 641, 303, 639)(239, 575, 241, 577, 269, 605)(240, 576, 306, 642, 302, 638)(243, 579, 307, 643, 251, 587)(252, 588, 278, 614, 253, 589)(254, 590, 304, 640, 310, 646)(257, 593, 311, 647, 312, 648)(258, 594, 313, 649, 277, 613)(270, 606, 316, 652, 295, 631)(274, 610, 319, 655, 317, 653)(281, 617, 322, 658, 285, 621)(286, 622, 296, 632, 287, 623)(288, 624, 318, 654, 324, 660)(291, 627, 325, 661, 298, 634)(299, 635, 301, 637, 315, 651)(300, 636, 326, 662, 314, 650)(308, 644, 327, 663, 333, 669)(309, 645, 321, 657, 328, 664)(320, 656, 330, 666, 332, 668)(323, 659, 329, 665, 335, 671)(331, 667, 336, 672, 334, 670)(673, 1009)(674, 1010)(675, 1011)(676, 1012)(677, 1013)(678, 1014)(679, 1015)(680, 1016)(681, 1017)(682, 1018)(683, 1019)(684, 1020)(685, 1021)(686, 1022)(687, 1023)(688, 1024)(689, 1025)(690, 1026)(691, 1027)(692, 1028)(693, 1029)(694, 1030)(695, 1031)(696, 1032)(697, 1033)(698, 1034)(699, 1035)(700, 1036)(701, 1037)(702, 1038)(703, 1039)(704, 1040)(705, 1041)(706, 1042)(707, 1043)(708, 1044)(709, 1045)(710, 1046)(711, 1047)(712, 1048)(713, 1049)(714, 1050)(715, 1051)(716, 1052)(717, 1053)(718, 1054)(719, 1055)(720, 1056)(721, 1057)(722, 1058)(723, 1059)(724, 1060)(725, 1061)(726, 1062)(727, 1063)(728, 1064)(729, 1065)(730, 1066)(731, 1067)(732, 1068)(733, 1069)(734, 1070)(735, 1071)(736, 1072)(737, 1073)(738, 1074)(739, 1075)(740, 1076)(741, 1077)(742, 1078)(743, 1079)(744, 1080)(745, 1081)(746, 1082)(747, 1083)(748, 1084)(749, 1085)(750, 1086)(751, 1087)(752, 1088)(753, 1089)(754, 1090)(755, 1091)(756, 1092)(757, 1093)(758, 1094)(759, 1095)(760, 1096)(761, 1097)(762, 1098)(763, 1099)(764, 1100)(765, 1101)(766, 1102)(767, 1103)(768, 1104)(769, 1105)(770, 1106)(771, 1107)(772, 1108)(773, 1109)(774, 1110)(775, 1111)(776, 1112)(777, 1113)(778, 1114)(779, 1115)(780, 1116)(781, 1117)(782, 1118)(783, 1119)(784, 1120)(785, 1121)(786, 1122)(787, 1123)(788, 1124)(789, 1125)(790, 1126)(791, 1127)(792, 1128)(793, 1129)(794, 1130)(795, 1131)(796, 1132)(797, 1133)(798, 1134)(799, 1135)(800, 1136)(801, 1137)(802, 1138)(803, 1139)(804, 1140)(805, 1141)(806, 1142)(807, 1143)(808, 1144)(809, 1145)(810, 1146)(811, 1147)(812, 1148)(813, 1149)(814, 1150)(815, 1151)(816, 1152)(817, 1153)(818, 1154)(819, 1155)(820, 1156)(821, 1157)(822, 1158)(823, 1159)(824, 1160)(825, 1161)(826, 1162)(827, 1163)(828, 1164)(829, 1165)(830, 1166)(831, 1167)(832, 1168)(833, 1169)(834, 1170)(835, 1171)(836, 1172)(837, 1173)(838, 1174)(839, 1175)(840, 1176)(841, 1177)(842, 1178)(843, 1179)(844, 1180)(845, 1181)(846, 1182)(847, 1183)(848, 1184)(849, 1185)(850, 1186)(851, 1187)(852, 1188)(853, 1189)(854, 1190)(855, 1191)(856, 1192)(857, 1193)(858, 1194)(859, 1195)(860, 1196)(861, 1197)(862, 1198)(863, 1199)(864, 1200)(865, 1201)(866, 1202)(867, 1203)(868, 1204)(869, 1205)(870, 1206)(871, 1207)(872, 1208)(873, 1209)(874, 1210)(875, 1211)(876, 1212)(877, 1213)(878, 1214)(879, 1215)(880, 1216)(881, 1217)(882, 1218)(883, 1219)(884, 1220)(885, 1221)(886, 1222)(887, 1223)(888, 1224)(889, 1225)(890, 1226)(891, 1227)(892, 1228)(893, 1229)(894, 1230)(895, 1231)(896, 1232)(897, 1233)(898, 1234)(899, 1235)(900, 1236)(901, 1237)(902, 1238)(903, 1239)(904, 1240)(905, 1241)(906, 1242)(907, 1243)(908, 1244)(909, 1245)(910, 1246)(911, 1247)(912, 1248)(913, 1249)(914, 1250)(915, 1251)(916, 1252)(917, 1253)(918, 1254)(919, 1255)(920, 1256)(921, 1257)(922, 1258)(923, 1259)(924, 1260)(925, 1261)(926, 1262)(927, 1263)(928, 1264)(929, 1265)(930, 1266)(931, 1267)(932, 1268)(933, 1269)(934, 1270)(935, 1271)(936, 1272)(937, 1273)(938, 1274)(939, 1275)(940, 1276)(941, 1277)(942, 1278)(943, 1279)(944, 1280)(945, 1281)(946, 1282)(947, 1283)(948, 1284)(949, 1285)(950, 1286)(951, 1287)(952, 1288)(953, 1289)(954, 1290)(955, 1291)(956, 1292)(957, 1293)(958, 1294)(959, 1295)(960, 1296)(961, 1297)(962, 1298)(963, 1299)(964, 1300)(965, 1301)(966, 1302)(967, 1303)(968, 1304)(969, 1305)(970, 1306)(971, 1307)(972, 1308)(973, 1309)(974, 1310)(975, 1311)(976, 1312)(977, 1313)(978, 1314)(979, 1315)(980, 1316)(981, 1317)(982, 1318)(983, 1319)(984, 1320)(985, 1321)(986, 1322)(987, 1323)(988, 1324)(989, 1325)(990, 1326)(991, 1327)(992, 1328)(993, 1329)(994, 1330)(995, 1331)(996, 1332)(997, 1333)(998, 1334)(999, 1335)(1000, 1336)(1001, 1337)(1002, 1338)(1003, 1339)(1004, 1340)(1005, 1341)(1006, 1342)(1007, 1343)(1008, 1344)
	L = (1, 675)(2, 678)(3, 681)(4, 683)(5, 673)(6, 686)(7, 674)(8, 676)(9, 691)(10, 693)(11, 694)(12, 695)(13, 677)(14, 699)(15, 701)(16, 679)(17, 680)(18, 682)(19, 709)(20, 711)(21, 712)(22, 713)(23, 715)(24, 684)(25, 717)(26, 685)(27, 721)(28, 723)(29, 724)(30, 687)(31, 726)(32, 688)(33, 729)(34, 689)(35, 690)(36, 692)(37, 698)(38, 738)(39, 739)(40, 740)(41, 732)(42, 744)(43, 745)(44, 696)(45, 749)(46, 697)(47, 737)(48, 700)(49, 704)(50, 755)(51, 756)(52, 757)(53, 702)(54, 761)(55, 703)(56, 754)(57, 764)(58, 705)(59, 766)(60, 706)(61, 769)(62, 707)(63, 708)(64, 710)(65, 776)(66, 777)(67, 778)(68, 772)(69, 782)(70, 714)(71, 784)(72, 785)(73, 787)(74, 789)(75, 790)(76, 716)(77, 793)(78, 718)(79, 719)(80, 720)(81, 722)(82, 801)(83, 802)(84, 803)(85, 806)(86, 808)(87, 809)(88, 725)(89, 812)(90, 727)(91, 728)(92, 817)(93, 730)(94, 821)(95, 731)(96, 743)(97, 824)(98, 733)(99, 826)(100, 734)(101, 829)(102, 735)(103, 736)(104, 835)(105, 836)(106, 832)(107, 840)(108, 741)(109, 842)(110, 843)(111, 742)(112, 846)(113, 847)(114, 746)(115, 748)(116, 852)(117, 853)(118, 854)(119, 747)(120, 851)(121, 858)(122, 860)(123, 861)(124, 750)(125, 751)(126, 866)(127, 752)(128, 753)(129, 872)(130, 873)(131, 869)(132, 877)(133, 758)(134, 760)(135, 881)(136, 882)(137, 883)(138, 759)(139, 880)(140, 887)(141, 889)(142, 890)(143, 762)(144, 763)(145, 896)(146, 898)(147, 899)(148, 765)(149, 902)(150, 767)(151, 768)(152, 907)(153, 770)(154, 911)(155, 771)(156, 781)(157, 914)(158, 773)(159, 871)(160, 774)(161, 917)(162, 775)(163, 888)(164, 920)(165, 923)(166, 779)(167, 925)(168, 926)(169, 780)(170, 929)(171, 930)(172, 932)(173, 783)(174, 934)(175, 919)(176, 938)(177, 786)(178, 788)(179, 941)(180, 912)(181, 942)(182, 921)(183, 791)(184, 792)(185, 794)(186, 796)(187, 905)(188, 949)(189, 924)(190, 795)(191, 948)(192, 928)(193, 797)(194, 952)(195, 798)(196, 906)(197, 799)(198, 916)(199, 800)(200, 897)(201, 831)(202, 957)(203, 804)(204, 959)(205, 960)(206, 805)(207, 807)(208, 913)(209, 946)(210, 963)(211, 956)(212, 810)(213, 811)(214, 813)(215, 815)(216, 865)(217, 967)(218, 958)(219, 814)(220, 918)(221, 940)(222, 816)(223, 818)(224, 820)(225, 894)(226, 970)(227, 971)(228, 819)(229, 955)(230, 859)(231, 954)(232, 962)(233, 822)(234, 823)(235, 935)(236, 974)(237, 975)(238, 825)(239, 850)(240, 827)(241, 828)(242, 965)(243, 830)(244, 839)(245, 937)(246, 833)(247, 845)(248, 834)(249, 837)(250, 944)(251, 855)(252, 838)(253, 981)(254, 862)(255, 951)(256, 841)(257, 885)(258, 864)(259, 986)(260, 922)(261, 844)(262, 868)(263, 910)(264, 848)(265, 987)(266, 972)(267, 969)(268, 849)(269, 879)(270, 893)(271, 982)(272, 989)(273, 979)(274, 856)(275, 857)(276, 903)(277, 992)(278, 863)(279, 886)(280, 908)(281, 867)(282, 876)(283, 870)(284, 874)(285, 884)(286, 875)(287, 993)(288, 891)(289, 947)(290, 878)(291, 904)(292, 996)(293, 984)(294, 994)(295, 999)(296, 892)(297, 895)(298, 1001)(299, 936)(300, 900)(301, 901)(302, 995)(303, 1002)(304, 909)(305, 933)(306, 939)(307, 1005)(308, 915)(309, 973)(310, 1006)(311, 927)(312, 980)(313, 931)(314, 1003)(315, 1000)(316, 943)(317, 1004)(318, 945)(319, 961)(320, 991)(321, 950)(322, 1007)(323, 953)(324, 1008)(325, 964)(326, 966)(327, 983)(328, 968)(329, 978)(330, 985)(331, 976)(332, 977)(333, 988)(334, 990)(335, 997)(336, 998)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.411
Graph:: simple bipartite
	v = 448 e = 672 f = 210
	degree seq :: [ 2^336, 6^112 ]

E8.414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, (Y3^2 * Y1^-1)^4, (Y3 * Y2^-1)^8, (Y3 * Y1^-1 * Y3^4 * Y1^-1 * Y3 * Y1)^2, Y3^-2 * Y1^-1 * Y3^3 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^4 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y1^-1 * Y3^-3 * Y1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^-1 ]
Map:: polytopal
	R = (1, 337, 2, 338, 4, 340)(3, 339, 8, 344, 10, 346)(5, 341, 12, 348, 6, 342)(7, 343, 15, 351, 11, 347)(9, 345, 18, 354, 20, 356)(13, 349, 25, 361, 23, 359)(14, 350, 24, 360, 28, 364)(16, 352, 31, 367, 29, 365)(17, 353, 33, 369, 21, 357)(19, 355, 36, 372, 38, 374)(22, 358, 30, 366, 42, 378)(26, 362, 47, 383, 45, 381)(27, 363, 48, 384, 50, 386)(32, 368, 56, 392, 54, 390)(34, 370, 59, 395, 57, 393)(35, 371, 61, 397, 39, 375)(37, 373, 64, 400, 65, 401)(40, 376, 58, 394, 69, 405)(41, 377, 70, 406, 71, 407)(43, 379, 46, 382, 74, 410)(44, 380, 75, 411, 51, 387)(49, 385, 81, 417, 82, 418)(52, 388, 55, 391, 86, 422)(53, 389, 87, 423, 72, 408)(60, 396, 96, 432, 94, 430)(62, 398, 99, 435, 97, 433)(63, 399, 101, 437, 66, 402)(67, 403, 98, 434, 90, 426)(68, 404, 107, 443, 108, 444)(73, 409, 113, 449, 115, 451)(76, 412, 118, 454, 117, 453)(77, 413, 79, 415, 120, 456)(78, 414, 112, 448, 116, 452)(80, 416, 123, 459, 83, 419)(84, 420, 109, 445, 93, 429)(85, 421, 129, 465, 131, 467)(88, 424, 133, 469, 132, 468)(89, 425, 91, 427, 135, 471)(92, 428, 95, 431, 139, 475)(100, 436, 147, 483, 145, 481)(102, 438, 150, 486, 148, 484)(103, 439, 152, 488, 104, 440)(105, 441, 149, 485, 142, 478)(106, 442, 136, 472, 156, 492)(110, 446, 159, 495, 111, 447)(114, 450, 164, 500, 165, 501)(119, 455, 169, 505, 171, 507)(121, 457, 173, 509, 162, 498)(122, 458, 127, 463, 172, 508)(124, 460, 176, 512, 175, 511)(125, 461, 178, 514, 126, 462)(128, 464, 140, 476, 182, 518)(130, 466, 184, 520, 185, 521)(134, 470, 189, 525, 191, 527)(137, 473, 161, 497, 192, 528)(138, 474, 194, 530, 196, 532)(141, 477, 143, 479, 198, 534)(144, 480, 146, 482, 202, 538)(151, 487, 209, 545, 207, 543)(153, 489, 212, 548, 210, 546)(154, 490, 211, 547, 204, 540)(155, 491, 199, 535, 215, 551)(157, 493, 217, 553, 158, 494)(160, 496, 221, 557, 220, 556)(163, 499, 224, 560, 166, 502)(167, 503, 168, 504, 228, 564)(170, 506, 231, 567, 232, 568)(174, 510, 234, 570, 181, 517)(177, 513, 238, 574, 236, 572)(179, 515, 241, 577, 239, 575)(180, 516, 240, 576, 229, 565)(183, 519, 245, 581, 186, 522)(187, 523, 188, 524, 248, 584)(190, 526, 251, 587, 216, 552)(193, 529, 252, 588, 223, 559)(195, 531, 254, 590, 244, 580)(197, 533, 256, 592, 249, 585)(200, 536, 219, 555, 258, 594)(201, 537, 260, 596, 261, 597)(203, 539, 205, 541, 263, 599)(206, 542, 208, 544, 230, 566)(213, 549, 270, 606, 269, 605)(214, 550, 264, 600, 271, 607)(218, 554, 275, 611, 274, 610)(222, 558, 233, 569, 278, 614)(225, 561, 280, 616, 279, 615)(226, 562, 281, 617, 227, 563)(235, 571, 237, 573, 250, 586)(242, 578, 289, 625, 292, 628)(243, 579, 284, 620, 293, 629)(246, 582, 295, 631, 247, 583)(253, 589, 277, 613, 255, 591)(257, 593, 298, 634, 272, 608)(259, 595, 301, 637, 276, 612)(262, 598, 290, 626, 291, 627)(265, 601, 273, 609, 300, 636)(266, 602, 285, 621, 299, 635)(267, 603, 268, 604, 297, 633)(282, 618, 294, 630, 302, 638)(283, 619, 314, 650, 288, 624)(286, 622, 296, 632, 287, 623)(303, 639, 313, 649, 304, 640)(305, 641, 319, 655, 310, 646)(306, 642, 324, 660, 312, 648)(307, 643, 311, 647, 323, 659)(308, 644, 309, 645, 322, 658)(315, 651, 317, 653, 321, 657)(316, 652, 320, 656, 318, 654)(325, 661, 333, 669, 328, 664)(326, 662, 327, 663, 331, 667)(329, 665, 330, 666, 332, 668)(334, 670, 336, 672, 335, 671)(673, 1009)(674, 1010)(675, 1011)(676, 1012)(677, 1013)(678, 1014)(679, 1015)(680, 1016)(681, 1017)(682, 1018)(683, 1019)(684, 1020)(685, 1021)(686, 1022)(687, 1023)(688, 1024)(689, 1025)(690, 1026)(691, 1027)(692, 1028)(693, 1029)(694, 1030)(695, 1031)(696, 1032)(697, 1033)(698, 1034)(699, 1035)(700, 1036)(701, 1037)(702, 1038)(703, 1039)(704, 1040)(705, 1041)(706, 1042)(707, 1043)(708, 1044)(709, 1045)(710, 1046)(711, 1047)(712, 1048)(713, 1049)(714, 1050)(715, 1051)(716, 1052)(717, 1053)(718, 1054)(719, 1055)(720, 1056)(721, 1057)(722, 1058)(723, 1059)(724, 1060)(725, 1061)(726, 1062)(727, 1063)(728, 1064)(729, 1065)(730, 1066)(731, 1067)(732, 1068)(733, 1069)(734, 1070)(735, 1071)(736, 1072)(737, 1073)(738, 1074)(739, 1075)(740, 1076)(741, 1077)(742, 1078)(743, 1079)(744, 1080)(745, 1081)(746, 1082)(747, 1083)(748, 1084)(749, 1085)(750, 1086)(751, 1087)(752, 1088)(753, 1089)(754, 1090)(755, 1091)(756, 1092)(757, 1093)(758, 1094)(759, 1095)(760, 1096)(761, 1097)(762, 1098)(763, 1099)(764, 1100)(765, 1101)(766, 1102)(767, 1103)(768, 1104)(769, 1105)(770, 1106)(771, 1107)(772, 1108)(773, 1109)(774, 1110)(775, 1111)(776, 1112)(777, 1113)(778, 1114)(779, 1115)(780, 1116)(781, 1117)(782, 1118)(783, 1119)(784, 1120)(785, 1121)(786, 1122)(787, 1123)(788, 1124)(789, 1125)(790, 1126)(791, 1127)(792, 1128)(793, 1129)(794, 1130)(795, 1131)(796, 1132)(797, 1133)(798, 1134)(799, 1135)(800, 1136)(801, 1137)(802, 1138)(803, 1139)(804, 1140)(805, 1141)(806, 1142)(807, 1143)(808, 1144)(809, 1145)(810, 1146)(811, 1147)(812, 1148)(813, 1149)(814, 1150)(815, 1151)(816, 1152)(817, 1153)(818, 1154)(819, 1155)(820, 1156)(821, 1157)(822, 1158)(823, 1159)(824, 1160)(825, 1161)(826, 1162)(827, 1163)(828, 1164)(829, 1165)(830, 1166)(831, 1167)(832, 1168)(833, 1169)(834, 1170)(835, 1171)(836, 1172)(837, 1173)(838, 1174)(839, 1175)(840, 1176)(841, 1177)(842, 1178)(843, 1179)(844, 1180)(845, 1181)(846, 1182)(847, 1183)(848, 1184)(849, 1185)(850, 1186)(851, 1187)(852, 1188)(853, 1189)(854, 1190)(855, 1191)(856, 1192)(857, 1193)(858, 1194)(859, 1195)(860, 1196)(861, 1197)(862, 1198)(863, 1199)(864, 1200)(865, 1201)(866, 1202)(867, 1203)(868, 1204)(869, 1205)(870, 1206)(871, 1207)(872, 1208)(873, 1209)(874, 1210)(875, 1211)(876, 1212)(877, 1213)(878, 1214)(879, 1215)(880, 1216)(881, 1217)(882, 1218)(883, 1219)(884, 1220)(885, 1221)(886, 1222)(887, 1223)(888, 1224)(889, 1225)(890, 1226)(891, 1227)(892, 1228)(893, 1229)(894, 1230)(895, 1231)(896, 1232)(897, 1233)(898, 1234)(899, 1235)(900, 1236)(901, 1237)(902, 1238)(903, 1239)(904, 1240)(905, 1241)(906, 1242)(907, 1243)(908, 1244)(909, 1245)(910, 1246)(911, 1247)(912, 1248)(913, 1249)(914, 1250)(915, 1251)(916, 1252)(917, 1253)(918, 1254)(919, 1255)(920, 1256)(921, 1257)(922, 1258)(923, 1259)(924, 1260)(925, 1261)(926, 1262)(927, 1263)(928, 1264)(929, 1265)(930, 1266)(931, 1267)(932, 1268)(933, 1269)(934, 1270)(935, 1271)(936, 1272)(937, 1273)(938, 1274)(939, 1275)(940, 1276)(941, 1277)(942, 1278)(943, 1279)(944, 1280)(945, 1281)(946, 1282)(947, 1283)(948, 1284)(949, 1285)(950, 1286)(951, 1287)(952, 1288)(953, 1289)(954, 1290)(955, 1291)(956, 1292)(957, 1293)(958, 1294)(959, 1295)(960, 1296)(961, 1297)(962, 1298)(963, 1299)(964, 1300)(965, 1301)(966, 1302)(967, 1303)(968, 1304)(969, 1305)(970, 1306)(971, 1307)(972, 1308)(973, 1309)(974, 1310)(975, 1311)(976, 1312)(977, 1313)(978, 1314)(979, 1315)(980, 1316)(981, 1317)(982, 1318)(983, 1319)(984, 1320)(985, 1321)(986, 1322)(987, 1323)(988, 1324)(989, 1325)(990, 1326)(991, 1327)(992, 1328)(993, 1329)(994, 1330)(995, 1331)(996, 1332)(997, 1333)(998, 1334)(999, 1335)(1000, 1336)(1001, 1337)(1002, 1338)(1003, 1339)(1004, 1340)(1005, 1341)(1006, 1342)(1007, 1343)(1008, 1344)
	L = (1, 675)(2, 678)(3, 681)(4, 683)(5, 673)(6, 686)(7, 674)(8, 676)(9, 691)(10, 693)(11, 694)(12, 695)(13, 677)(14, 699)(15, 701)(16, 679)(17, 680)(18, 682)(19, 709)(20, 711)(21, 712)(22, 713)(23, 715)(24, 684)(25, 717)(26, 685)(27, 721)(28, 723)(29, 724)(30, 687)(31, 726)(32, 688)(33, 729)(34, 689)(35, 690)(36, 692)(37, 698)(38, 738)(39, 739)(40, 740)(41, 732)(42, 744)(43, 745)(44, 696)(45, 749)(46, 697)(47, 737)(48, 700)(49, 704)(50, 755)(51, 756)(52, 757)(53, 702)(54, 761)(55, 703)(56, 754)(57, 764)(58, 705)(59, 766)(60, 706)(61, 769)(62, 707)(63, 708)(64, 710)(65, 776)(66, 777)(67, 778)(68, 772)(69, 781)(70, 714)(71, 783)(72, 784)(73, 786)(74, 788)(75, 789)(76, 716)(77, 791)(78, 718)(79, 719)(80, 720)(81, 722)(82, 798)(83, 799)(84, 800)(85, 802)(86, 770)(87, 804)(88, 725)(89, 806)(90, 727)(91, 728)(92, 810)(93, 730)(94, 813)(95, 731)(96, 743)(97, 816)(98, 733)(99, 817)(100, 734)(101, 820)(102, 735)(103, 736)(104, 826)(105, 827)(106, 823)(107, 741)(108, 830)(109, 747)(110, 742)(111, 833)(112, 834)(113, 746)(114, 748)(115, 838)(116, 759)(117, 839)(118, 837)(119, 842)(120, 844)(121, 750)(122, 751)(123, 847)(124, 752)(125, 753)(126, 852)(127, 853)(128, 849)(129, 758)(130, 760)(131, 858)(132, 859)(133, 857)(134, 862)(135, 864)(136, 762)(137, 763)(138, 867)(139, 821)(140, 765)(141, 869)(142, 767)(143, 768)(144, 873)(145, 875)(146, 771)(147, 780)(148, 878)(149, 773)(150, 879)(151, 774)(152, 882)(153, 775)(154, 886)(155, 885)(156, 888)(157, 779)(158, 891)(159, 892)(160, 782)(161, 895)(162, 894)(163, 785)(164, 787)(165, 899)(166, 884)(167, 890)(168, 790)(169, 792)(170, 793)(171, 880)(172, 795)(173, 904)(174, 794)(175, 907)(176, 908)(177, 796)(178, 911)(179, 797)(180, 915)(181, 914)(182, 916)(183, 801)(184, 803)(185, 919)(186, 913)(187, 897)(188, 805)(189, 807)(190, 808)(191, 909)(192, 831)(193, 809)(194, 811)(195, 812)(196, 927)(197, 929)(198, 930)(199, 814)(200, 815)(201, 855)(202, 883)(203, 934)(204, 818)(205, 819)(206, 938)(207, 939)(208, 822)(209, 828)(210, 896)(211, 824)(212, 941)(213, 825)(214, 846)(215, 944)(216, 945)(217, 946)(218, 829)(219, 948)(220, 949)(221, 950)(222, 832)(223, 931)(224, 951)(225, 835)(226, 836)(227, 955)(228, 912)(229, 840)(230, 841)(231, 843)(232, 959)(233, 845)(234, 943)(235, 957)(236, 962)(237, 848)(238, 854)(239, 917)(240, 850)(241, 964)(242, 851)(243, 865)(244, 966)(245, 933)(246, 856)(247, 969)(248, 928)(249, 860)(250, 861)(251, 863)(252, 965)(253, 866)(254, 868)(255, 893)(256, 870)(257, 871)(258, 889)(259, 872)(260, 874)(261, 976)(262, 977)(263, 972)(264, 876)(265, 877)(266, 925)(267, 967)(268, 881)(269, 980)(270, 887)(271, 982)(272, 983)(273, 984)(274, 985)(275, 900)(276, 978)(277, 971)(278, 986)(279, 975)(280, 920)(281, 974)(282, 898)(283, 987)(284, 901)(285, 902)(286, 903)(287, 988)(288, 905)(289, 906)(290, 935)(291, 910)(292, 992)(293, 993)(294, 994)(295, 958)(296, 918)(297, 995)(298, 921)(299, 922)(300, 923)(301, 924)(302, 926)(303, 932)(304, 947)(305, 936)(306, 937)(307, 940)(308, 954)(309, 942)(310, 999)(311, 1000)(312, 997)(313, 952)(314, 953)(315, 956)(316, 1001)(317, 960)(318, 961)(319, 963)(320, 968)(321, 1004)(322, 1003)(323, 970)(324, 973)(325, 979)(326, 981)(327, 1007)(328, 1006)(329, 989)(330, 990)(331, 991)(332, 1008)(333, 996)(334, 998)(335, 1002)(336, 1005)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E8.412
Graph:: simple bipartite
	v = 448 e = 672 f = 210
	degree seq :: [ 2^336, 6^112 ]

## Checksum: 414 records.
## Written on: Tue Oct 15 15:41:49 CEST 2019