## Begin on: Tue Oct 15 09:13:18 CEST 2019

ENUMERATION
No. of records: 356

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 26 (22 non-degenerate)
2     [ E3b] : 54 (28 non-degenerate)
2*    [E3*b] : 54 (28 non-degenerate)
2ex   [E3*c] : 0
2*ex  [ E3c] : 0
2P    [  E2] : 11 (6 non-degenerate)
2Pex  [ E1a] : 0
3     [ E5a] : 166 (51 non-degenerate)
4     [  E4] : 20 (9 non-degenerate)
4*    [ E4*] : 20 (9 non-degenerate)
4P    [  E6] : 5 (1 non-degenerate)
5     [ E3a] : 0
5*    [E3*a] : 0
5P    [ E5b] : 0

E5.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C5 (small group id <5, 1>)
Aut   = D10 (small group id <10, 1>)
|r| :: 2
Presentation :: [ A, A, B, B, A, B, A, B, B, A, S^2, S^-1 * B * S * A, S^-1 * Z * S * Z, S^-1 * A * S * B, Z^5, (Z^-1 * A * B^-1 * A^-1 * B)^5 ]
Map::
	R = (1, 7, 12, 17, 2, 9, 14, 19, 4, 10, 15, 20, 5, 8, 13, 18, 3, 6, 11, 16)
	L = (1, 11)(2, 12)(3, 13)(4, 14)(5, 15)(6, 16)(7, 17)(8, 18)(9, 19)(10, 20)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 10 f = 1
	degree seq :: [ 20 ]

E5.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C5 (small group id <5, 1>)
Aut   = D10 (small group id <10, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, B^-1 * Z^-1, Z^-1 * A^-1, S * A * S * B, (S * Z)^2, B^5, Z^5, Z^2 * A^-3 ]
Map::
	R = (1, 7, 12, 17, 2, 9, 14, 19, 4, 10, 15, 20, 5, 8, 13, 18, 3, 6, 11, 16)
	L = (1, 13)(2, 11)(3, 15)(4, 12)(5, 14)(6, 17)(7, 19)(8, 16)(9, 20)(10, 18)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 10 f = 1
	degree seq :: [ 20 ]

E5.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C6 (small group id <6, 2>)
Aut   = D12 (small group id <12, 4>)
|r| :: 2
Presentation :: [ S^2, A^2, B * A, Z^3, S * B * S * A, (S * Z)^2, Z^-1 * A * Z * A ]
Map::
	R = (1, 8, 14, 20, 2, 10, 16, 22, 4, 7, 13, 19)(3, 11, 17, 23, 5, 12, 18, 24, 6, 9, 15, 21)
	L = (1, 15)(2, 17)(3, 13)(4, 18)(5, 14)(6, 16)(7, 21)(8, 23)(9, 19)(10, 24)(11, 20)(12, 22)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 12 f = 2
	degree seq :: [ 12^2 ]

E5.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D8 (small group id <8, 3>)
Aut   = C2 x D8 (small group id <16, 11>)
|r| :: 2
Presentation :: [ Z^2, A^2, S^2, B * A, (S * Z)^2, S * A * S * B, (A * Z)^4 ]
Map::
	R = (1, 10, 18, 26, 2, 9, 17, 25)(3, 13, 21, 29, 5, 11, 19, 27)(4, 14, 22, 30, 6, 12, 20, 28)(7, 16, 24, 32, 8, 15, 23, 31)
	L = (1, 19)(2, 20)(3, 17)(4, 18)(5, 23)(6, 24)(7, 21)(8, 22)(9, 27)(10, 28)(11, 25)(12, 26)(13, 31)(14, 32)(15, 29)(16, 30)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 16 f = 4
	degree seq :: [ 8^4 ]

E5.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D8 (small group id <8, 3>)
Aut   = C2 x D8 (small group id <16, 11>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * B * S * A, (S * Z)^2, B^2 * A^-2, A * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 10, 18, 26, 2, 9, 17, 25)(3, 14, 22, 30, 6, 11, 19, 27)(4, 13, 21, 29, 5, 12, 20, 28)(7, 16, 24, 32, 8, 15, 23, 31)
	L = (1, 19)(2, 21)(3, 23)(4, 17)(5, 24)(6, 18)(7, 20)(8, 22)(9, 27)(10, 29)(11, 31)(12, 25)(13, 32)(14, 26)(15, 28)(16, 30)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 16 f = 4
	degree seq :: [ 8^4 ]

E5.6 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 (small group id <8, 4>)
Aut   = (C4 x C2) : C2 (small group id <16, 13>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2 * Y3^-2 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y1^4, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^4 ]
Map:: non-degenerate
	R = (1, 9, 4, 12, 6, 14, 5, 13)(2, 10, 7, 15, 3, 11, 8, 16)(17, 18, 22, 19)(20, 24, 21, 23)(25, 27, 30, 26)(28, 31, 29, 32)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E5.7
Graph:: bipartite
	v = 6 e = 16 f = 2
	degree seq :: [ 4^4, 8^2 ]

E5.7 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 (small group id <8, 4>)
Aut   = (C4 x C2) : C2 (small group id <16, 13>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2 * Y3^-2 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y1^4, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^4 ]
Map:: non-degenerate
	R = (1, 9, 17, 25, 4, 12, 20, 28, 6, 14, 22, 30, 5, 13, 21, 29)(2, 10, 18, 26, 7, 15, 23, 31, 3, 11, 19, 27, 8, 16, 24, 32)
	L = (1, 10)(2, 14)(3, 9)(4, 16)(5, 15)(6, 11)(7, 12)(8, 13)(17, 27)(18, 25)(19, 30)(20, 31)(21, 32)(22, 26)(23, 29)(24, 28)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.6
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 16 f = 6
	degree seq :: [ 16^2 ]

E5.8 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 (small group id <8, 1>)
Aut   = D16 (small group id <16, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y2^2 * Y1, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 9, 2, 10, 6, 14, 4, 12)(3, 11, 5, 13, 7, 15, 8, 16)(17, 25, 19, 27, 20, 28, 24, 32, 22, 30, 23, 31, 18, 26, 21, 29)
	L = (1, 18)(2, 22)(3, 21)(4, 17)(5, 23)(6, 20)(7, 24)(8, 19)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.11
Graph:: bipartite
	v = 3 e = 16 f = 5
	degree seq :: [ 8^2, 16 ]

E5.9 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 (small group id <8, 1>)
Aut   = D16 (small group id <16, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1 * Y2^-2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 9, 2, 10, 6, 14, 4, 12)(3, 11, 7, 15, 8, 16, 5, 13)(17, 25, 19, 27, 18, 26, 23, 31, 22, 30, 24, 32, 20, 28, 21, 29)
	L = (1, 18)(2, 22)(3, 23)(4, 17)(5, 19)(6, 20)(7, 24)(8, 21)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.10
Graph:: bipartite
	v = 3 e = 16 f = 5
	degree seq :: [ 8^2, 16 ]

E5.10 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 (small group id <8, 1>)
Aut   = D16 (small group id <16, 7>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3, Y2 * Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 9, 2, 10, 6, 14, 8, 16, 3, 11, 7, 15, 4, 12, 5, 13)(17, 25, 19, 27)(18, 26, 23, 31)(20, 28, 22, 30)(21, 29, 24, 32)
	L = (1, 20)(2, 21)(3, 22)(4, 19)(5, 23)(6, 17)(7, 24)(8, 18)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.9
Graph:: bipartite
	v = 5 e = 16 f = 3
	degree seq :: [ 4^4, 16 ]

E5.11 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 (small group id <8, 1>)
Aut   = D16 (small group id <16, 7>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3^-1, Y2 * Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 9, 2, 10, 4, 12, 8, 16, 3, 11, 7, 15, 6, 14, 5, 13)(17, 25, 19, 27)(18, 26, 23, 31)(20, 28, 22, 30)(21, 29, 24, 32)
	L = (1, 20)(2, 24)(3, 22)(4, 19)(5, 18)(6, 17)(7, 21)(8, 23)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.8
Graph:: bipartite
	v = 5 e = 16 f = 3
	degree seq :: [ 4^4, 16 ]

E5.12 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y1^2, R^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^5 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 11, 2, 12)(3, 13, 5, 15)(4, 14, 6, 16)(7, 17, 9, 19)(8, 18, 10, 20)(21, 31, 23, 33, 27, 37, 30, 40, 26, 36, 22, 32, 25, 35, 29, 39, 28, 38, 24, 34)
	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) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 20 f = 6
	degree seq :: [ 4^5, 20 ]

E5.13 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 11, 11})
Quotient :: edge
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^-1 * T2^2, T1 * T2^5 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 8, 4, 2, 6, 10, 9, 5)(12, 13, 14, 17, 18, 21, 22, 20, 19, 16, 15)
	L = (1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 21)(11, 22)
	local type(s) :: { ( 22^11 ) }
Outer automorphisms :: reflexible
Dual of E5.19
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 11 f = 1
	degree seq :: [ 11^2 ]

E5.14 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 11, 11})
Quotient :: edge
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T1)^2, (F * T2)^2, T2^-5 * T1 ]
Map:: non-degenerate
	R = (1, 3, 7, 10, 6, 2, 4, 8, 11, 9, 5)(12, 13, 16, 17, 20, 21, 22, 18, 19, 14, 15)
	L = (1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 21)(11, 22)
	local type(s) :: { ( 22^11 ) }
Outer automorphisms :: reflexible
Dual of E5.17
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 11 f = 1
	degree seq :: [ 11^2 ]

E5.15 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 11, 11})
Quotient :: edge
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2^3, (T1^-1 * T2^-1)^11 ]
Map:: non-degenerate
	R = (1, 3, 9, 8, 2, 7, 10, 4, 6, 11, 5)(12, 13, 17, 14, 18, 22, 20, 21, 16, 19, 15)
	L = (1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 21)(11, 22)
	local type(s) :: { ( 22^11 ) }
Outer automorphisms :: reflexible
Dual of E5.20
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 11 f = 1
	degree seq :: [ 11^2 ]

E5.16 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 11, 11})
Quotient :: edge
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^-1 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 4, 10, 8, 2, 7, 11, 5)(12, 13, 17, 16, 19, 20, 22, 21, 14, 18, 15)
	L = (1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 21)(11, 22)
	local type(s) :: { ( 22^11 ) }
Outer automorphisms :: reflexible
Dual of E5.18
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 11 f = 1
	degree seq :: [ 11^2 ]

E5.17 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 11, 11})
Quotient :: loop
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1, (F * T2)^2, (F * T1)^2, T1^11, T2^11, (T2^-1 * T1^-1)^11 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 4, 15, 6, 17, 8, 19, 10, 21, 11, 22, 9, 20, 7, 18, 5, 16, 3, 14)
	L = (1, 13)(2, 15)(3, 12)(4, 17)(5, 14)(6, 19)(7, 16)(8, 21)(9, 18)(10, 22)(11, 20)
	local type(s) :: { ( 11^22 ) }
Outer automorphisms :: reflexible
Dual of E5.14
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 11 f = 2
	degree seq :: [ 22 ]

E5.18 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 11, 11})
Quotient :: loop
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^-1 * T2^2, T1 * T2^5 ]
Map:: non-degenerate
	R = (1, 12, 3, 14, 7, 18, 11, 22, 8, 19, 4, 15, 2, 13, 6, 17, 10, 21, 9, 20, 5, 16)
	L = (1, 13)(2, 14)(3, 17)(4, 12)(5, 15)(6, 18)(7, 21)(8, 16)(9, 19)(10, 22)(11, 20)
	local type(s) :: { ( 11^22 ) }
Outer automorphisms :: reflexible
Dual of E5.16
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 11 f = 2
	degree seq :: [ 22 ]

E5.19 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 11, 11})
Quotient :: loop
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^-1 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 12, 3, 14, 9, 20, 6, 17, 4, 15, 10, 21, 8, 19, 2, 13, 7, 18, 11, 22, 5, 16)
	L = (1, 13)(2, 17)(3, 18)(4, 12)(5, 19)(6, 16)(7, 15)(8, 20)(9, 22)(10, 14)(11, 21)
	local type(s) :: { ( 11^22 ) }
Outer automorphisms :: reflexible
Dual of E5.13
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 11 f = 2
	degree seq :: [ 22 ]

E5.20 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 11, 11})
Quotient :: loop
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1^-1 * T2^-2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 12, 3, 14, 9, 20, 4, 15, 10, 21, 6, 17, 11, 22, 8, 19, 2, 13, 7, 18, 5, 16)
	L = (1, 13)(2, 17)(3, 18)(4, 12)(5, 19)(6, 20)(7, 22)(8, 21)(9, 16)(10, 14)(11, 15)
	local type(s) :: { ( 11^22 ) }
Outer automorphisms :: reflexible
Dual of E5.15
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 11 f = 2
	degree seq :: [ 22 ]

E5.21 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^5 * Y2, Y2 * Y1^-5 ]
Map::
	R = (1, 12, 2, 13, 6, 17, 10, 21, 8, 19, 3, 14, 5, 16, 7, 18, 11, 22, 9, 20, 4, 15)(23, 34, 25, 36, 26, 37, 30, 41, 31, 42, 32, 43, 33, 44, 28, 39, 29, 40, 24, 35, 27, 38)
	L = (1, 26)(2, 23)(3, 30)(4, 31)(5, 25)(6, 24)(7, 27)(8, 32)(9, 33)(10, 28)(11, 29)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E5.25
Graph:: bipartite
	v = 2 e = 22 f = 12
	degree seq :: [ 22^2 ]

E5.22 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y2^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y3^2 * Y2^-1 * Y3 * Y1^-2, Y2 * Y1^5, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^2 * Y2 ]
Map::
	R = (1, 12, 2, 13, 6, 17, 10, 21, 9, 20, 5, 16, 3, 14, 7, 18, 11, 22, 8, 19, 4, 15)(23, 34, 25, 36, 24, 35, 29, 40, 28, 39, 33, 44, 32, 43, 30, 41, 31, 42, 26, 37, 27, 38)
	L = (1, 26)(2, 23)(3, 27)(4, 30)(5, 31)(6, 24)(7, 25)(8, 33)(9, 32)(10, 28)(11, 29)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E5.27
Graph:: bipartite
	v = 2 e = 22 f = 12
	degree seq :: [ 22^2 ]

E5.23 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2^-1 * Y1^-1 * Y2^-2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y2^-1), Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1^2 * Y3^-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 * Y1^-1 ]
Map::
	R = (1, 12, 2, 13, 6, 17, 9, 20, 5, 16, 8, 19, 10, 21, 3, 14, 7, 18, 11, 22, 4, 15)(23, 34, 25, 36, 31, 42, 26, 37, 32, 43, 28, 39, 33, 44, 30, 41, 24, 35, 29, 40, 27, 38)
	L = (1, 26)(2, 23)(3, 32)(4, 33)(5, 31)(6, 24)(7, 25)(8, 27)(9, 28)(10, 30)(11, 29)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E5.28
Graph:: bipartite
	v = 2 e = 22 f = 12
	degree seq :: [ 22^2 ]

E5.24 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^2 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^3 * Y2^-1 * Y3^-1, Y1 * Y2^2 * Y3^-2, Y1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 12, 2, 13, 6, 17, 9, 20, 3, 14, 7, 18, 11, 22, 5, 16, 8, 19, 10, 21, 4, 15)(23, 34, 25, 36, 30, 41, 24, 35, 29, 40, 32, 43, 28, 39, 33, 44, 26, 37, 31, 42, 27, 38)
	L = (1, 26)(2, 23)(3, 31)(4, 32)(5, 33)(6, 24)(7, 25)(8, 27)(9, 28)(10, 30)(11, 29)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E5.26
Graph:: bipartite
	v = 2 e = 22 f = 12
	degree seq :: [ 22^2 ]

E5.25 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^11, (Y3 * Y2^-1)^11, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 21)(11, 22)(23, 34, 24, 35, 26, 37, 28, 39, 30, 41, 32, 43, 33, 44, 31, 42, 29, 40, 27, 38, 25, 36)
	L = (1, 25)(2, 23)(3, 27)(4, 24)(5, 29)(6, 26)(7, 31)(8, 28)(9, 33)(10, 30)(11, 32)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22, 22 ), ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E5.21
Graph:: bipartite
	v = 12 e = 22 f = 2
	degree seq :: [ 2^11, 22 ]

E5.26 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y3^-5, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 21)(11, 22)(23, 34, 24, 35, 27, 38, 28, 39, 31, 42, 32, 43, 33, 44, 29, 40, 30, 41, 25, 36, 26, 37)
	L = (1, 25)(2, 26)(3, 29)(4, 30)(5, 23)(6, 24)(7, 32)(8, 33)(9, 27)(10, 28)(11, 31)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22, 22 ), ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E5.24
Graph:: bipartite
	v = 12 e = 22 f = 2
	degree seq :: [ 2^11, 22 ]

E5.27 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-1 * Y3^-1 * Y2^-2, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2 * Y3^4, Y3^-1 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 21)(11, 22)(23, 34, 24, 35, 28, 39, 27, 38, 30, 41, 31, 42, 33, 44, 32, 43, 25, 36, 29, 40, 26, 37)
	L = (1, 25)(2, 29)(3, 31)(4, 32)(5, 23)(6, 26)(7, 33)(8, 24)(9, 28)(10, 30)(11, 27)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22, 22 ), ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E5.22
Graph:: bipartite
	v = 12 e = 22 f = 2
	degree seq :: [ 2^11, 22 ]

E5.28 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1, Y3), Y2^-1 * Y3^-3, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y2^3, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 21)(11, 22)(23, 34, 24, 35, 28, 39, 31, 42, 27, 38, 30, 41, 32, 43, 25, 36, 29, 40, 33, 44, 26, 37)
	L = (1, 25)(2, 29)(3, 31)(4, 32)(5, 23)(6, 33)(7, 27)(8, 24)(9, 26)(10, 28)(11, 30)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22, 22 ), ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E5.23
Graph:: bipartite
	v = 12 e = 22 f = 2
	degree seq :: [ 2^11, 22 ]

E5.29 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = A4 (small group id <12, 3>)
Aut   = S4 (small group id <24, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3^3, Y1 * Y2 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 13, 4, 16, 7, 19)(2, 14, 8, 20, 10, 22)(3, 15, 11, 23, 5, 17)(6, 18, 12, 24, 9, 21)(25, 26, 29)(27, 34, 33)(28, 35, 36)(30, 32, 31)(37, 39, 42)(38, 40, 45)(41, 44, 48)(43, 46, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E5.30
Graph:: simple bipartite
	v = 12 e = 24 f = 4
	degree seq :: [ 3^8, 6^4 ]

E5.30 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = A4 (small group id <12, 3>)
Aut   = S4 (small group id <24, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3^3, Y1 * Y2 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 13, 25, 37, 4, 16, 28, 40, 7, 19, 31, 43)(2, 14, 26, 38, 8, 20, 32, 44, 10, 22, 34, 46)(3, 15, 27, 39, 11, 23, 35, 47, 5, 17, 29, 41)(6, 18, 30, 42, 12, 24, 36, 48, 9, 21, 33, 45)
	L = (1, 14)(2, 17)(3, 22)(4, 23)(5, 13)(6, 20)(7, 18)(8, 19)(9, 15)(10, 21)(11, 24)(12, 16)(25, 39)(26, 40)(27, 42)(28, 45)(29, 44)(30, 37)(31, 46)(32, 48)(33, 38)(34, 47)(35, 43)(36, 41)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.29
Transitivity :: VT+
Graph::
	v = 4 e = 24 f = 12
	degree seq :: [ 12^4 ]

E5.31 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = A4 (small group id <12, 3>)
Aut   = S4 (small group id <24, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2 * Y3, Y2^3, Y1^3, (R * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 5, 17)(3, 15, 9, 21, 10, 22)(4, 16, 6, 18, 11, 23)(7, 19, 8, 20, 12, 24)(25, 37, 27, 39, 30, 42)(26, 38, 28, 40, 32, 44)(29, 41, 31, 43, 33, 45)(34, 46, 36, 48, 35, 47)
	L = (1, 28)(2, 31)(3, 29)(4, 25)(5, 27)(6, 34)(7, 26)(8, 35)(9, 36)(10, 30)(11, 32)(12, 33)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 24 f = 8
	degree seq :: [ 6^8 ]

E5.32 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
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, Y1^3, Y1 * Y3^-2, Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3 * Y1 * Y2, (Y1^-1 * Y3^-1)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 5, 17)(3, 15, 11, 23, 8, 20)(4, 16, 9, 21, 7, 19)(6, 18, 12, 24, 10, 22)(25, 37, 27, 39, 33, 45, 30, 42)(26, 38, 32, 44, 31, 43, 34, 46)(28, 40, 36, 48, 29, 41, 35, 47)
	L = (1, 28)(2, 33)(3, 34)(4, 26)(5, 31)(6, 32)(7, 25)(8, 36)(9, 29)(10, 35)(11, 30)(12, 27)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.33
Graph:: bipartite
	v = 7 e = 24 f = 9
	degree seq :: [ 6^4, 8^3 ]

E5.33 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = (C6 x C2) : C2 (small group id <24, 8>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y2, Y3^-3 * Y2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 3, 15, 5, 17)(4, 16, 8, 20, 9, 21, 11, 23)(6, 18, 7, 19, 10, 22, 12, 24)(25, 37, 27, 39)(26, 38, 29, 41)(28, 40, 33, 45)(30, 42, 34, 46)(31, 43, 36, 48)(32, 44, 35, 47)
	L = (1, 28)(2, 31)(3, 33)(4, 34)(5, 36)(6, 25)(7, 35)(8, 26)(9, 30)(10, 27)(11, 29)(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, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.32
Graph:: bipartite
	v = 9 e = 24 f = 7
	degree seq :: [ 4^6, 8^3 ]

E5.34 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = D12 (small group id <12, 4>)
Aut   = C2 x C2 x S3 (small group id <24, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, Y1^-1 * Y3 * Y1^-1 * Y2, (R * Y1)^2, R * Y3 * R * Y2, Y1^6 ]
Map::
	R = (1, 14, 2, 17, 5, 21, 9, 20, 8, 16, 4, 13)(3, 19, 7, 23, 11, 24, 12, 22, 10, 18, 6, 15)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 12)(13, 15)(14, 18)(16, 19)(17, 22)(20, 23)(21, 24)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 12 f = 2
	degree seq :: [ 12^2 ]

E5.35 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = D12 (small group id <12, 4>)
Aut   = C2 x C2 x S3 (small group id <24, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y2 * R * Y1, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^6 ]
Map::
	R = (1, 13, 3, 15, 7, 19, 11, 23, 8, 20, 4, 16)(2, 14, 5, 17, 9, 21, 12, 24, 10, 22, 6, 18)(25, 26)(27, 30)(28, 29)(31, 34)(32, 33)(35, 36)(37, 38)(39, 42)(40, 41)(43, 46)(44, 45)(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) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E5.37
Graph:: simple bipartite
	v = 14 e = 24 f = 2
	degree seq :: [ 2^12, 12^2 ]

E5.36 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = D12 (small group id <12, 4>)
Aut   = C2 x C2 x S3 (small group id <24, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 13, 4, 16)(2, 14, 6, 18)(3, 15, 8, 20)(5, 17, 10, 22)(7, 19, 11, 23)(9, 21, 12, 24)(25, 26, 29, 33, 31, 27)(28, 32, 35, 36, 34, 30)(37, 39, 43, 45, 41, 38)(40, 42, 46, 48, 47, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E5.38
Graph:: simple bipartite
	v = 10 e = 24 f = 6
	degree seq :: [ 4^6, 6^4 ]

E5.37 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = D12 (small group id <12, 4>)
Aut   = C2 x C2 x S3 (small group id <24, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y2 * R * Y1, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^6 ]
Map::
	R = (1, 13, 25, 37, 3, 15, 27, 39, 7, 19, 31, 43, 11, 23, 35, 47, 8, 20, 32, 44, 4, 16, 28, 40)(2, 14, 26, 38, 5, 17, 29, 41, 9, 21, 33, 45, 12, 24, 36, 48, 10, 22, 34, 46, 6, 18, 30, 42)
	L = (1, 14)(2, 13)(3, 18)(4, 17)(5, 16)(6, 15)(7, 22)(8, 21)(9, 20)(10, 19)(11, 24)(12, 23)(25, 38)(26, 37)(27, 42)(28, 41)(29, 40)(30, 39)(31, 46)(32, 45)(33, 44)(34, 43)(35, 48)(36, 47)
	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 E5.35
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 24 f = 14
	degree seq :: [ 24^2 ]

E5.38 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = D12 (small group id <12, 4>)
Aut   = C2 x C2 x S3 (small group id <24, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 13, 25, 37, 4, 16, 28, 40)(2, 14, 26, 38, 6, 18, 30, 42)(3, 15, 27, 39, 8, 20, 32, 44)(5, 17, 29, 41, 10, 22, 34, 46)(7, 19, 31, 43, 11, 23, 35, 47)(9, 21, 33, 45, 12, 24, 36, 48)
	L = (1, 14)(2, 17)(3, 13)(4, 20)(5, 21)(6, 16)(7, 15)(8, 23)(9, 19)(10, 18)(11, 24)(12, 22)(25, 39)(26, 37)(27, 43)(28, 42)(29, 38)(30, 46)(31, 45)(32, 40)(33, 41)(34, 48)(35, 44)(36, 47)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.36
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 24 f = 10
	degree seq :: [ 8^6 ]

E5.39 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ 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, Y2^6, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 13, 2, 14)(3, 15, 5, 17)(4, 16, 6, 18)(7, 19, 9, 21)(8, 20, 10, 22)(11, 23, 12, 24)(25, 37, 27, 39, 31, 43, 35, 47, 32, 44, 28, 40)(26, 38, 29, 41, 33, 45, 36, 48, 34, 46, 30, 42)
	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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 24 f = 8
	degree seq :: [ 4^6, 12^2 ]

E5.40 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = D12 (small group id <12, 4>)
Aut   = C2 x C2 x S3 (small group id <24, 14>)
|r| :: 2
Presentation :: [ 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, Y2^6, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 13, 2, 14)(3, 15, 6, 18)(4, 16, 5, 17)(7, 19, 10, 22)(8, 20, 9, 21)(11, 23, 12, 24)(25, 37, 27, 39, 31, 43, 35, 47, 32, 44, 28, 40)(26, 38, 29, 41, 33, 45, 36, 48, 34, 46, 30, 42)
	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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 24 f = 8
	degree seq :: [ 4^6, 12^2 ]

E5.41 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y3^2, R^2, Y2^-3 * Y1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (Y2^-1 * R)^2, Y2^-1 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 13, 2, 14)(3, 15, 6, 18)(4, 16, 7, 19)(5, 17, 8, 20)(9, 21, 11, 23)(10, 22, 12, 24)(25, 37, 27, 39, 32, 44, 26, 38, 30, 42, 29, 41)(28, 40, 33, 45, 36, 48, 31, 43, 35, 47, 34, 46)
	L = (1, 28)(2, 31)(3, 33)(4, 25)(5, 34)(6, 35)(7, 26)(8, 36)(9, 27)(10, 29)(11, 30)(12, 32)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 24 f = 8
	degree seq :: [ 4^6, 12^2 ]

E5.42 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (Y2^-1 * R)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 13, 2, 14)(3, 15, 6, 18)(4, 16, 7, 19)(5, 17, 8, 20)(9, 21, 11, 23)(10, 22, 12, 24)(25, 37, 27, 39, 33, 45, 31, 43, 36, 48, 29, 41)(26, 38, 30, 42, 35, 47, 28, 40, 34, 46, 32, 44)
	L = (1, 28)(2, 31)(3, 34)(4, 25)(5, 35)(6, 36)(7, 26)(8, 33)(9, 32)(10, 27)(11, 29)(12, 30)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 24 f = 8
	degree seq :: [ 4^6, 12^2 ]

E5.43 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = D12 (small group id <12, 4>)
Aut   = C2 x C2 x S3 (small group id <24, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, Y3^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14)(3, 15, 9, 21)(4, 16, 10, 22)(5, 17, 7, 19)(6, 18, 8, 20)(11, 23, 12, 24)(25, 37, 27, 39, 28, 40, 35, 47, 30, 42, 29, 41)(26, 38, 31, 43, 32, 44, 36, 48, 34, 46, 33, 45)
	L = (1, 28)(2, 32)(3, 35)(4, 30)(5, 27)(6, 25)(7, 36)(8, 34)(9, 31)(10, 26)(11, 29)(12, 33)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 24 f = 8
	degree seq :: [ 4^6, 12^2 ]

E5.44 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 12})
Quotient :: edge
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^6 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 10, 11, 6, 7, 2, 5)(13, 14, 18, 22, 21, 16)(15, 17, 19, 23, 24, 20)
	L = (1, 13)(2, 14)(3, 15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)
	local type(s) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E5.45
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 12 f = 1
	degree seq :: [ 6^2, 12 ]

E5.45 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 12})
Quotient :: loop
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^6 ]
Map:: non-degenerate
	R = (1, 13, 3, 15, 4, 16, 8, 20, 9, 21, 12, 24, 10, 22, 11, 23, 6, 18, 7, 19, 2, 14, 5, 17)
	L = (1, 14)(2, 18)(3, 17)(4, 13)(5, 19)(6, 22)(7, 23)(8, 15)(9, 16)(10, 21)(11, 24)(12, 20)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.44
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 12 f = 3
	degree seq :: [ 24 ]

E5.46 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^6, Y1^6 ]
Map::
	R = (1, 13, 2, 14, 6, 18, 10, 22, 9, 21, 4, 16)(3, 15, 5, 17, 7, 19, 11, 23, 12, 24, 8, 20)(25, 37, 27, 39, 28, 40, 32, 44, 33, 45, 36, 48, 34, 46, 35, 47, 30, 42, 31, 43, 26, 38, 29, 41)
	L = (1, 28)(2, 25)(3, 32)(4, 33)(5, 27)(6, 26)(7, 29)(8, 36)(9, 34)(10, 30)(11, 31)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E5.47
Graph:: bipartite
	v = 3 e = 24 f = 13
	degree seq :: [ 12^2, 24 ]

E5.47 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 13, 2, 14, 5, 17, 6, 18, 9, 21, 10, 22, 11, 23, 12, 24, 7, 19, 8, 20, 3, 15, 4, 16)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)
	L = (1, 27)(2, 28)(3, 31)(4, 32)(5, 25)(6, 26)(7, 35)(8, 36)(9, 29)(10, 30)(11, 33)(12, 34)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E5.46
Graph:: bipartite
	v = 13 e = 24 f = 3
	degree seq :: [ 2^12, 24 ]

E5.48 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 15, 15})
Quotient :: edge
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-1 * T2^-5, T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 10, 4, 9, 15, 13, 7, 2, 6, 12, 11, 5)(16, 17, 19)(18, 21, 24)(20, 22, 25)(23, 27, 30)(26, 28, 29)
	L = (1, 16)(2, 17)(3, 18)(4, 19)(5, 20)(6, 21)(7, 22)(8, 23)(9, 24)(10, 25)(11, 26)(12, 27)(13, 28)(14, 29)(15, 30)
	local type(s) :: { ( 30^3 ), ( 30^15 ) }
Outer automorphisms :: reflexible
Dual of E5.49
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 15 f = 1
	degree seq :: [ 3^5, 15 ]

E5.49 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 15, 15})
Quotient :: loop
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-1 * T2^-5, T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^2 * T1 ]
Map:: non-degenerate
	R = (1, 16, 3, 18, 8, 23, 14, 29, 10, 25, 4, 19, 9, 24, 15, 30, 13, 28, 7, 22, 2, 17, 6, 21, 12, 27, 11, 26, 5, 20)
	L = (1, 17)(2, 19)(3, 21)(4, 16)(5, 22)(6, 24)(7, 25)(8, 27)(9, 18)(10, 20)(11, 28)(12, 30)(13, 29)(14, 26)(15, 23)
	local type(s) :: { ( 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15 ) }
Outer automorphisms :: reflexible
Dual of E5.48
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 15 f = 6
	degree seq :: [ 30 ]

E5.50 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^3, Y1^3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3 * Y2^-5, Y2 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^2 * Y3 ]
Map::
	R = (1, 16, 2, 17, 4, 19)(3, 18, 6, 21, 9, 24)(5, 20, 7, 22, 10, 25)(8, 23, 12, 27, 15, 30)(11, 26, 13, 28, 14, 29)(31, 46, 33, 48, 38, 53, 44, 59, 40, 55, 34, 49, 39, 54, 45, 60, 43, 58, 37, 52, 32, 47, 36, 51, 42, 57, 41, 56, 35, 50)
	L = (1, 34)(2, 31)(3, 39)(4, 32)(5, 40)(6, 33)(7, 35)(8, 45)(9, 36)(10, 37)(11, 44)(12, 38)(13, 41)(14, 43)(15, 42)(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) :: { ( 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E5.51
Graph:: bipartite
	v = 6 e = 30 f = 16
	degree seq :: [ 6^5, 30 ]

E5.51 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^-1 * Y1^-5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y3 ]
Map::
	R = (1, 16, 2, 17, 6, 21, 12, 27, 11, 26, 5, 20, 8, 23, 14, 29, 15, 30, 9, 24, 3, 18, 7, 22, 13, 28, 10, 25, 4, 19)(31, 46)(32, 47)(33, 48)(34, 49)(35, 50)(36, 51)(37, 52)(38, 53)(39, 54)(40, 55)(41, 56)(42, 57)(43, 58)(44, 59)(45, 60)
	L = (1, 33)(2, 37)(3, 35)(4, 39)(5, 31)(6, 43)(7, 38)(8, 32)(9, 41)(10, 45)(11, 34)(12, 40)(13, 44)(14, 36)(15, 42)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E5.50
Graph:: bipartite
	v = 16 e = 30 f = 6
	degree seq :: [ 2^15, 30 ]

E5.52 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, (Y1 * Y2 * Y1)^2, (Y2 * Y1^-1)^4 ]
Map::
	R = (1, 18, 2, 21, 5, 20, 4, 17)(3, 23, 7, 26, 10, 24, 8, 19)(6, 27, 11, 25, 9, 28, 12, 22)(13, 31, 15, 30, 14, 32, 16, 29)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 19)(18, 22)(20, 25)(21, 26)(23, 29)(24, 30)(27, 31)(28, 32)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 16 f = 4
	degree seq :: [ 8^4 ]

E5.53 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^4, Y3 * Y2 * Y1^2, Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 18, 2, 22, 6, 21, 5, 17)(3, 25, 9, 20, 4, 26, 10, 19)(7, 27, 11, 24, 8, 28, 12, 23)(13, 31, 15, 30, 14, 32, 16, 29)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 20)(18, 24)(19, 22)(21, 23)(25, 30)(26, 29)(27, 32)(28, 31)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 16 f = 4
	degree seq :: [ 8^4 ]

E5.54 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-2 * Y1)^2, (Y3^-1 * Y1)^4 ]
Map::
	R = (1, 17, 3, 19, 8, 24, 4, 20)(2, 18, 5, 21, 11, 27, 6, 22)(7, 23, 13, 29, 9, 25, 14, 30)(10, 26, 15, 31, 12, 28, 16, 32)(33, 34)(35, 39)(36, 41)(37, 42)(38, 44)(40, 43)(45, 47)(46, 48)(49, 50)(51, 55)(52, 57)(53, 58)(54, 60)(56, 59)(61, 63)(62, 64)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E5.58
Graph:: simple bipartite
	v = 20 e = 32 f = 4
	degree seq :: [ 2^16, 8^4 ]

E5.55 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 17, 4, 20, 6, 22, 5, 21)(2, 18, 7, 23, 3, 19, 8, 24)(9, 25, 13, 29, 10, 26, 14, 30)(11, 27, 15, 31, 12, 28, 16, 32)(33, 34)(35, 38)(36, 41)(37, 42)(39, 43)(40, 44)(45, 47)(46, 48)(49, 51)(50, 54)(52, 58)(53, 57)(55, 60)(56, 59)(61, 64)(62, 63)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E5.59
Graph:: simple bipartite
	v = 20 e = 32 f = 4
	degree seq :: [ 2^16, 8^4 ]

E5.56 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = C2 x ((C4 x C2) : C2) (small group id <32, 22>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^4, Y2^4, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, (Y3 * Y1^-1)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 4, 20)(2, 18, 6, 22)(3, 19, 7, 23)(5, 21, 10, 26)(8, 24, 13, 29)(9, 25, 14, 30)(11, 27, 15, 31)(12, 28, 16, 32)(33, 34, 37, 35)(36, 40, 42, 41)(38, 43, 39, 44)(45, 47, 46, 48)(49, 51, 53, 50)(52, 57, 58, 56)(54, 60, 55, 59)(61, 64, 62, 63)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.60
Graph:: simple bipartite
	v = 16 e = 32 f = 8
	degree seq :: [ 4^16 ]

E5.57 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-1, Y1^-3 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, (Y1 * Y3 * Y1)^2, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 17, 3, 19)(2, 18, 6, 22)(4, 20, 9, 25)(5, 21, 10, 26)(7, 23, 13, 29)(8, 24, 14, 30)(11, 27, 15, 31)(12, 28, 16, 32)(33, 34, 37, 36)(35, 39, 42, 40)(38, 43, 41, 44)(45, 47, 46, 48)(49, 50, 53, 52)(51, 55, 58, 56)(54, 59, 57, 60)(61, 63, 62, 64)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.61
Graph:: simple bipartite
	v = 16 e = 32 f = 8
	degree seq :: [ 4^16 ]

E5.58 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-2 * Y1)^2, (Y3^-1 * Y1)^4 ]
Map::
	R = (1, 17, 33, 49, 3, 19, 35, 51, 8, 24, 40, 56, 4, 20, 36, 52)(2, 18, 34, 50, 5, 21, 37, 53, 11, 27, 43, 59, 6, 22, 38, 54)(7, 23, 39, 55, 13, 29, 45, 61, 9, 25, 41, 57, 14, 30, 46, 62)(10, 26, 42, 58, 15, 31, 47, 63, 12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 17)(3, 23)(4, 25)(5, 26)(6, 28)(7, 19)(8, 27)(9, 20)(10, 21)(11, 24)(12, 22)(13, 31)(14, 32)(15, 29)(16, 30)(33, 50)(34, 49)(35, 55)(36, 57)(37, 58)(38, 60)(39, 51)(40, 59)(41, 52)(42, 53)(43, 56)(44, 54)(45, 63)(46, 64)(47, 61)(48, 62)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.54
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 20
	degree seq :: [ 16^4 ]

E5.59 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 17, 33, 49, 4, 20, 36, 52, 6, 22, 38, 54, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 3, 19, 35, 51, 8, 24, 40, 56)(9, 25, 41, 57, 13, 29, 45, 61, 10, 26, 42, 58, 14, 30, 46, 62)(11, 27, 43, 59, 15, 31, 47, 63, 12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 17)(3, 22)(4, 25)(5, 26)(6, 19)(7, 27)(8, 28)(9, 20)(10, 21)(11, 23)(12, 24)(13, 31)(14, 32)(15, 29)(16, 30)(33, 51)(34, 54)(35, 49)(36, 58)(37, 57)(38, 50)(39, 60)(40, 59)(41, 53)(42, 52)(43, 56)(44, 55)(45, 64)(46, 63)(47, 62)(48, 61)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.55
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 20
	degree seq :: [ 16^4 ]

E5.60 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = C2 x ((C4 x C2) : C2) (small group id <32, 22>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^4, Y2^4, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, (Y3 * Y1^-1)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52)(2, 18, 34, 50, 6, 22, 38, 54)(3, 19, 35, 51, 7, 23, 39, 55)(5, 21, 37, 53, 10, 26, 42, 58)(8, 24, 40, 56, 13, 29, 45, 61)(9, 25, 41, 57, 14, 30, 46, 62)(11, 27, 43, 59, 15, 31, 47, 63)(12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 21)(3, 17)(4, 24)(5, 19)(6, 27)(7, 28)(8, 26)(9, 20)(10, 25)(11, 23)(12, 22)(13, 31)(14, 32)(15, 30)(16, 29)(33, 51)(34, 49)(35, 53)(36, 57)(37, 50)(38, 60)(39, 59)(40, 52)(41, 58)(42, 56)(43, 54)(44, 55)(45, 64)(46, 63)(47, 61)(48, 62)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.56
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 16
	degree seq :: [ 8^8 ]

E5.61 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-1, Y1^-3 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, (Y1 * Y3 * Y1)^2, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51)(2, 18, 34, 50, 6, 22, 38, 54)(4, 20, 36, 52, 9, 25, 41, 57)(5, 21, 37, 53, 10, 26, 42, 58)(7, 23, 39, 55, 13, 29, 45, 61)(8, 24, 40, 56, 14, 30, 46, 62)(11, 27, 43, 59, 15, 31, 47, 63)(12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 21)(3, 23)(4, 17)(5, 20)(6, 27)(7, 26)(8, 19)(9, 28)(10, 24)(11, 25)(12, 22)(13, 31)(14, 32)(15, 30)(16, 29)(33, 50)(34, 53)(35, 55)(36, 49)(37, 52)(38, 59)(39, 58)(40, 51)(41, 60)(42, 56)(43, 57)(44, 54)(45, 63)(46, 64)(47, 62)(48, 61)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.57
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 16
	degree seq :: [ 8^8 ]

E5.62 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 6, 22)(4, 20, 9, 25)(5, 21, 10, 26)(7, 23, 11, 27)(8, 24, 12, 28)(13, 29, 15, 31)(14, 30, 16, 32)(33, 49, 35, 51)(34, 50, 38, 54)(36, 52, 37, 53)(39, 55, 40, 56)(41, 57, 42, 58)(43, 59, 44, 60)(45, 61, 46, 62)(47, 63, 48, 64)
	L = (1, 36)(2, 39)(3, 37)(4, 35)(5, 33)(6, 40)(7, 38)(8, 34)(9, 45)(10, 46)(11, 47)(12, 48)(13, 42)(14, 41)(15, 44)(16, 43)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.73
Graph:: simple bipartite
	v = 16 e = 32 f = 8
	degree seq :: [ 4^16 ]

E5.63 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 17, 2, 18)(3, 19, 7, 23)(4, 20, 9, 25)(5, 21, 10, 26)(6, 22, 12, 28)(8, 24, 11, 27)(13, 29, 15, 31)(14, 30, 16, 32)(33, 49, 35, 51, 40, 56, 36, 52)(34, 50, 37, 53, 43, 59, 38, 54)(39, 55, 45, 61, 41, 57, 46, 62)(42, 58, 47, 63, 44, 60, 48, 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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.64 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 9, 25)(4, 20, 7, 23)(5, 21, 10, 26)(6, 22, 11, 27)(8, 24, 12, 28)(13, 29, 15, 31)(14, 30, 16, 32)(33, 49, 35, 51, 36, 52, 37, 53)(34, 50, 38, 54, 39, 55, 40, 56)(41, 57, 45, 61, 42, 58, 46, 62)(43, 59, 47, 63, 44, 60, 48, 64)
	L = (1, 36)(2, 39)(3, 37)(4, 33)(5, 35)(6, 40)(7, 34)(8, 38)(9, 42)(10, 41)(11, 44)(12, 43)(13, 46)(14, 45)(15, 48)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.65 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y1 * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^4, Y1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 9, 25)(4, 20, 7, 23)(5, 21, 13, 29)(6, 22, 11, 27)(8, 24, 12, 28)(10, 26, 14, 30)(15, 31, 16, 32)(33, 49, 35, 51, 42, 58, 37, 53)(34, 50, 38, 54, 46, 62, 40, 56)(36, 52, 43, 59, 48, 64, 44, 60)(39, 55, 41, 57, 47, 63, 45, 61)
	L = (1, 36)(2, 39)(3, 43)(4, 33)(5, 44)(6, 41)(7, 34)(8, 45)(9, 38)(10, 48)(11, 35)(12, 37)(13, 40)(14, 47)(15, 46)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.66 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^4, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 9, 25)(4, 20, 7, 23)(5, 21, 13, 29)(6, 22, 12, 28)(8, 24, 11, 27)(10, 26, 14, 30)(15, 31, 16, 32)(33, 49, 35, 51, 42, 58, 37, 53)(34, 50, 38, 54, 46, 62, 40, 56)(36, 52, 43, 59, 48, 64, 44, 60)(39, 55, 45, 61, 47, 63, 41, 57)
	L = (1, 36)(2, 39)(3, 43)(4, 33)(5, 44)(6, 45)(7, 34)(8, 41)(9, 40)(10, 48)(11, 35)(12, 37)(13, 38)(14, 47)(15, 46)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.67 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y1 * Y2^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 17, 2, 18)(3, 19, 5, 21)(4, 20, 6, 22)(7, 23, 10, 26)(8, 24, 9, 25)(11, 27, 12, 28)(13, 29, 14, 30)(15, 31, 16, 32)(33, 49, 35, 51, 34, 50, 37, 53)(36, 52, 40, 56, 38, 54, 41, 57)(39, 55, 43, 59, 42, 58, 44, 60)(45, 61, 47, 63, 46, 62, 48, 64)
	L = (1, 36)(2, 38)(3, 39)(4, 33)(5, 42)(6, 34)(7, 35)(8, 45)(9, 46)(10, 37)(11, 47)(12, 48)(13, 40)(14, 41)(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 ) }
Outer automorphisms :: reflexible
Dual of E5.72
Graph:: bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.68 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y3 * Y2^-1 * Y3, R * Y2 * Y1 * R * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 17, 2, 18)(3, 19, 6, 22)(4, 20, 7, 23)(5, 21, 8, 24)(9, 25, 14, 30)(10, 26, 11, 27)(12, 28, 13, 29)(15, 31, 16, 32)(33, 49, 35, 51, 41, 57, 37, 53)(34, 50, 38, 54, 46, 62, 40, 56)(36, 52, 43, 59, 47, 63, 44, 60)(39, 55, 42, 58, 48, 64, 45, 61)
	L = (1, 36)(2, 39)(3, 42)(4, 33)(5, 45)(6, 43)(7, 34)(8, 44)(9, 47)(10, 35)(11, 38)(12, 40)(13, 37)(14, 48)(15, 41)(16, 46)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.70
Graph:: simple bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.69 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, Y2 * Y1 * Y2^-1 * Y1, R * Y2 * R * Y1 * Y2^-1, Y2 * Y1 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 6, 22)(4, 20, 7, 23)(5, 21, 8, 24)(9, 25, 14, 30)(10, 26, 12, 28)(11, 27, 13, 29)(15, 31, 16, 32)(33, 49, 35, 51, 41, 57, 37, 53)(34, 50, 38, 54, 46, 62, 40, 56)(36, 52, 43, 59, 47, 63, 44, 60)(39, 55, 45, 61, 48, 64, 42, 58)
	L = (1, 36)(2, 39)(3, 42)(4, 33)(5, 45)(6, 44)(7, 34)(8, 43)(9, 47)(10, 35)(11, 40)(12, 38)(13, 37)(14, 48)(15, 41)(16, 46)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.71
Graph:: simple bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.70 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3, (R * Y1)^2, Y2^4, (R * Y2 * Y3)^2, (Y2^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 17, 2, 18)(3, 19, 9, 25)(4, 20, 7, 23)(5, 21, 11, 27)(6, 22, 12, 28)(8, 24, 14, 30)(10, 26, 13, 29)(15, 31, 16, 32)(33, 49, 35, 51, 42, 58, 37, 53)(34, 50, 38, 54, 45, 61, 40, 56)(36, 52, 41, 57, 47, 63, 43, 59)(39, 55, 44, 60, 48, 64, 46, 62)
	L = (1, 36)(2, 39)(3, 38)(4, 33)(5, 40)(6, 35)(7, 34)(8, 37)(9, 44)(10, 47)(11, 46)(12, 41)(13, 48)(14, 43)(15, 42)(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 ) }
Outer automorphisms :: reflexible
Dual of E5.68
Graph:: simple bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.71 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3 * Y1, (R * Y2 * Y3)^2, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 9, 25)(4, 20, 7, 23)(5, 21, 10, 26)(6, 22, 11, 27)(8, 24, 12, 28)(13, 29, 15, 31)(14, 30, 16, 32)(33, 49, 35, 51, 39, 55, 37, 53)(34, 50, 38, 54, 36, 52, 40, 56)(41, 57, 45, 61, 42, 58, 46, 62)(43, 59, 47, 63, 44, 60, 48, 64)
	L = (1, 36)(2, 39)(3, 42)(4, 33)(5, 41)(6, 44)(7, 34)(8, 43)(9, 37)(10, 35)(11, 40)(12, 38)(13, 48)(14, 47)(15, 46)(16, 45)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.69
Graph:: bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.72 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y3 * Y2 * Y1, (R * Y2 * Y3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 17, 2, 18)(3, 19, 9, 25)(4, 20, 7, 23)(5, 21, 11, 27)(6, 22, 12, 28)(8, 24, 14, 30)(10, 26, 13, 29)(15, 31, 16, 32)(33, 49, 35, 51, 42, 58, 37, 53)(34, 50, 38, 54, 45, 61, 40, 56)(36, 52, 43, 59, 47, 63, 41, 57)(39, 55, 46, 62, 48, 64, 44, 60)
	L = (1, 36)(2, 39)(3, 40)(4, 33)(5, 38)(6, 37)(7, 34)(8, 35)(9, 46)(10, 47)(11, 44)(12, 43)(13, 48)(14, 41)(15, 42)(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 ) }
Outer automorphisms :: reflexible
Dual of E5.67
Graph:: simple bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.73 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 5, 21)(3, 19, 9, 25, 12, 28, 8, 24)(4, 20, 11, 27, 13, 29, 7, 23)(10, 26, 14, 30, 16, 32, 15, 31)(33, 49, 35, 51, 42, 58, 36, 52)(34, 50, 39, 55, 46, 62, 40, 56)(37, 53, 43, 59, 47, 63, 41, 57)(38, 54, 44, 60, 48, 64, 45, 61)
	L = (1, 36)(2, 40)(3, 33)(4, 42)(5, 41)(6, 45)(7, 34)(8, 46)(9, 47)(10, 35)(11, 37)(12, 38)(13, 48)(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 ) }
Outer automorphisms :: reflexible
Dual of E5.62
Graph:: bipartite
	v = 8 e = 32 f = 16
	degree seq :: [ 8^8 ]

E5.74 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^4, (Y3 * Y2)^2, Y2 * Y3 * Y1^2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 18, 2, 22, 6, 21, 5, 17)(3, 25, 9, 20, 4, 26, 10, 19)(7, 27, 11, 24, 8, 28, 12, 23)(13, 32, 16, 30, 14, 31, 15, 29)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 20)(18, 24)(19, 22)(21, 23)(25, 30)(26, 29)(27, 32)(28, 31)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 16 f = 4
	degree seq :: [ 8^4 ]

E5.75 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^4, R * Y2 * R * Y3, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 18, 2, 21, 5, 20, 4, 17)(3, 23, 7, 26, 10, 24, 8, 19)(6, 27, 11, 25, 9, 28, 12, 22)(13, 32, 16, 30, 14, 31, 15, 29)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 19)(18, 22)(20, 25)(21, 26)(23, 29)(24, 30)(27, 31)(28, 32)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 16 f = 4
	degree seq :: [ 8^4 ]

E5.76 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2 * Y3^2, Y2 * Y3^-2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 17, 4, 20, 6, 22, 5, 21)(2, 18, 7, 23, 3, 19, 8, 24)(9, 25, 13, 29, 10, 26, 14, 30)(11, 27, 15, 31, 12, 28, 16, 32)(33, 34)(35, 38)(36, 41)(37, 42)(39, 43)(40, 44)(45, 48)(46, 47)(49, 51)(50, 54)(52, 58)(53, 57)(55, 60)(56, 59)(61, 63)(62, 64)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E5.80
Graph:: simple bipartite
	v = 20 e = 32 f = 4
	degree seq :: [ 2^16, 8^4 ]

E5.77 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 17, 3, 19, 8, 24, 4, 20)(2, 18, 5, 21, 11, 27, 6, 22)(7, 23, 13, 29, 9, 25, 14, 30)(10, 26, 15, 31, 12, 28, 16, 32)(33, 34)(35, 39)(36, 41)(37, 42)(38, 44)(40, 43)(45, 48)(46, 47)(49, 50)(51, 55)(52, 57)(53, 58)(54, 60)(56, 59)(61, 64)(62, 63)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E5.81
Graph:: simple bipartite
	v = 20 e = 32 f = 4
	degree seq :: [ 2^16, 8^4 ]

E5.78 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = C2 x QD16 (small group id <32, 40>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^-2 * Y2^2, Y2^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 4, 20)(2, 18, 6, 22)(3, 19, 7, 23)(5, 21, 10, 26)(8, 24, 13, 29)(9, 25, 14, 30)(11, 27, 15, 31)(12, 28, 16, 32)(33, 34, 37, 35)(36, 40, 42, 41)(38, 43, 39, 44)(45, 48, 46, 47)(49, 51, 53, 50)(52, 57, 58, 56)(54, 60, 55, 59)(61, 63, 62, 64)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.82
Graph:: simple bipartite
	v = 16 e = 32 f = 8
	degree seq :: [ 4^16 ]

E5.79 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y2^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 17, 3, 19)(2, 18, 6, 22)(4, 20, 9, 25)(5, 21, 10, 26)(7, 23, 13, 29)(8, 24, 14, 30)(11, 27, 15, 31)(12, 28, 16, 32)(33, 34, 37, 36)(35, 39, 42, 40)(38, 43, 41, 44)(45, 48, 46, 47)(49, 50, 53, 52)(51, 55, 58, 56)(54, 59, 57, 60)(61, 64, 62, 63)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.83
Graph:: simple bipartite
	v = 16 e = 32 f = 8
	degree seq :: [ 4^16 ]

E5.80 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2 * Y3^2, Y2 * Y3^-2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 17, 33, 49, 4, 20, 36, 52, 6, 22, 38, 54, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 3, 19, 35, 51, 8, 24, 40, 56)(9, 25, 41, 57, 13, 29, 45, 61, 10, 26, 42, 58, 14, 30, 46, 62)(11, 27, 43, 59, 15, 31, 47, 63, 12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 17)(3, 22)(4, 25)(5, 26)(6, 19)(7, 27)(8, 28)(9, 20)(10, 21)(11, 23)(12, 24)(13, 32)(14, 31)(15, 30)(16, 29)(33, 51)(34, 54)(35, 49)(36, 58)(37, 57)(38, 50)(39, 60)(40, 59)(41, 53)(42, 52)(43, 56)(44, 55)(45, 63)(46, 64)(47, 61)(48, 62)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.76
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 20
	degree seq :: [ 16^4 ]

E5.81 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 17, 33, 49, 3, 19, 35, 51, 8, 24, 40, 56, 4, 20, 36, 52)(2, 18, 34, 50, 5, 21, 37, 53, 11, 27, 43, 59, 6, 22, 38, 54)(7, 23, 39, 55, 13, 29, 45, 61, 9, 25, 41, 57, 14, 30, 46, 62)(10, 26, 42, 58, 15, 31, 47, 63, 12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 17)(3, 23)(4, 25)(5, 26)(6, 28)(7, 19)(8, 27)(9, 20)(10, 21)(11, 24)(12, 22)(13, 32)(14, 31)(15, 30)(16, 29)(33, 50)(34, 49)(35, 55)(36, 57)(37, 58)(38, 60)(39, 51)(40, 59)(41, 52)(42, 53)(43, 56)(44, 54)(45, 64)(46, 63)(47, 62)(48, 61)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.77
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 20
	degree seq :: [ 16^4 ]

E5.82 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = C2 x QD16 (small group id <32, 40>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^-2 * Y2^2, Y2^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52)(2, 18, 34, 50, 6, 22, 38, 54)(3, 19, 35, 51, 7, 23, 39, 55)(5, 21, 37, 53, 10, 26, 42, 58)(8, 24, 40, 56, 13, 29, 45, 61)(9, 25, 41, 57, 14, 30, 46, 62)(11, 27, 43, 59, 15, 31, 47, 63)(12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 21)(3, 17)(4, 24)(5, 19)(6, 27)(7, 28)(8, 26)(9, 20)(10, 25)(11, 23)(12, 22)(13, 32)(14, 31)(15, 29)(16, 30)(33, 51)(34, 49)(35, 53)(36, 57)(37, 50)(38, 60)(39, 59)(40, 52)(41, 58)(42, 56)(43, 54)(44, 55)(45, 63)(46, 64)(47, 62)(48, 61)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.78
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 16
	degree seq :: [ 8^8 ]

E5.83 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y2^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51)(2, 18, 34, 50, 6, 22, 38, 54)(4, 20, 36, 52, 9, 25, 41, 57)(5, 21, 37, 53, 10, 26, 42, 58)(7, 23, 39, 55, 13, 29, 45, 61)(8, 24, 40, 56, 14, 30, 46, 62)(11, 27, 43, 59, 15, 31, 47, 63)(12, 28, 44, 60, 16, 32, 48, 64)
	L = (1, 18)(2, 21)(3, 23)(4, 17)(5, 20)(6, 27)(7, 26)(8, 19)(9, 28)(10, 24)(11, 25)(12, 22)(13, 32)(14, 31)(15, 29)(16, 30)(33, 50)(34, 53)(35, 55)(36, 49)(37, 52)(38, 59)(39, 58)(40, 51)(41, 60)(42, 56)(43, 57)(44, 54)(45, 64)(46, 63)(47, 61)(48, 62)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.79
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 32 f = 16
	degree seq :: [ 8^8 ]

E5.84 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 17, 2, 18)(3, 19, 7, 23)(4, 20, 9, 25)(5, 21, 10, 26)(6, 22, 12, 28)(8, 24, 11, 27)(13, 29, 16, 32)(14, 30, 15, 31)(33, 49, 35, 51, 40, 56, 36, 52)(34, 50, 37, 53, 43, 59, 38, 54)(39, 55, 45, 61, 41, 57, 46, 62)(42, 58, 47, 63, 44, 60, 48, 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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.85 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 9, 25)(4, 20, 7, 23)(5, 21, 10, 26)(6, 22, 11, 27)(8, 24, 12, 28)(13, 29, 16, 32)(14, 30, 15, 31)(33, 49, 35, 51, 36, 52, 37, 53)(34, 50, 38, 54, 39, 55, 40, 56)(41, 57, 45, 61, 42, 58, 46, 62)(43, 59, 47, 63, 44, 60, 48, 64)
	L = (1, 36)(2, 39)(3, 37)(4, 33)(5, 35)(6, 40)(7, 34)(8, 38)(9, 42)(10, 41)(11, 44)(12, 43)(13, 46)(14, 45)(15, 48)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.86 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x C2 x C2 (small group id <16, 10>)
Aut   = C2 x C2 x D8 (small group id <32, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (Y2^-1 * R)^2, (Y3 * Y1)^2, Y2^4, Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 6, 22)(4, 20, 7, 23)(5, 21, 8, 24)(9, 25, 12, 28)(10, 26, 13, 29)(11, 27, 14, 30)(15, 31, 16, 32)(33, 49, 35, 51, 41, 57, 37, 53)(34, 50, 38, 54, 44, 60, 40, 56)(36, 52, 42, 58, 47, 63, 43, 59)(39, 55, 45, 61, 48, 64, 46, 62)
	L = (1, 36)(2, 39)(3, 42)(4, 33)(5, 43)(6, 45)(7, 34)(8, 46)(9, 47)(10, 35)(11, 37)(12, 48)(13, 38)(14, 40)(15, 41)(16, 44)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.87 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x D8 (small group id <16, 11>)
Aut   = C2 x C2 x D8 (small group id <32, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (Y2^-1 * R)^2, (Y3 * Y1)^2, (Y2^-1 * Y1)^2, Y2^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 8, 24)(4, 20, 7, 23)(5, 21, 6, 22)(9, 25, 12, 28)(10, 26, 14, 30)(11, 27, 13, 29)(15, 31, 16, 32)(33, 49, 35, 51, 41, 57, 37, 53)(34, 50, 38, 54, 44, 60, 40, 56)(36, 52, 42, 58, 47, 63, 43, 59)(39, 55, 45, 61, 48, 64, 46, 62)
	L = (1, 36)(2, 39)(3, 42)(4, 33)(5, 43)(6, 45)(7, 34)(8, 46)(9, 47)(10, 35)(11, 37)(12, 48)(13, 38)(14, 40)(15, 41)(16, 44)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.88 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 13>)
Aut   = C2 x ((C4 x C2) : C2) (small group id <32, 48>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-2 * Y2^-1, Y2^4, Y3^-2 * Y2^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 7, 23)(4, 20, 10, 26)(5, 21, 9, 25)(6, 22, 8, 24)(11, 27, 14, 30)(12, 28, 16, 32)(13, 29, 15, 31)(33, 49, 35, 51, 43, 59, 37, 53)(34, 50, 39, 55, 46, 62, 41, 57)(36, 52, 45, 61, 38, 54, 44, 60)(40, 56, 48, 64, 42, 58, 47, 63)
	L = (1, 36)(2, 40)(3, 44)(4, 43)(5, 45)(6, 33)(7, 47)(8, 46)(9, 48)(10, 34)(11, 38)(12, 37)(13, 35)(14, 42)(15, 41)(16, 39)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.89 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C2 (small group id <16, 13>)
Aut   = (C2 x D8) : C2 (small group id <32, 49>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-2 * Y2^-1, Y2^4, Y3^-2 * Y2^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 9, 25)(4, 20, 10, 26)(5, 21, 7, 23)(6, 22, 8, 24)(11, 27, 14, 30)(12, 28, 15, 31)(13, 29, 16, 32)(33, 49, 35, 51, 43, 59, 37, 53)(34, 50, 39, 55, 46, 62, 41, 57)(36, 52, 45, 61, 38, 54, 44, 60)(40, 56, 48, 64, 42, 58, 47, 63)
	L = (1, 36)(2, 40)(3, 44)(4, 43)(5, 45)(6, 33)(7, 47)(8, 46)(9, 48)(10, 34)(11, 38)(12, 37)(13, 35)(14, 42)(15, 41)(16, 39)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 12 e = 32 f = 12
	degree seq :: [ 4^8, 8^4 ]

E5.90 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ F^2, T1^4, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^4 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 6, 13, 12, 5)(2, 7, 15, 11, 4, 10, 16, 8)(17, 18, 22, 20)(19, 23, 29, 26)(21, 24, 30, 27)(25, 31, 28, 32)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E5.91
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 16 f = 2
	degree seq :: [ 4^4, 8^2 ]

E5.91 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ F^2, T1^4, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^4 * T1^2 ]
Map:: non-degenerate
	R = (1, 17, 3, 19, 9, 25, 14, 30, 6, 22, 13, 29, 12, 28, 5, 21)(2, 18, 7, 23, 15, 31, 11, 27, 4, 20, 10, 26, 16, 32, 8, 24)
	L = (1, 18)(2, 22)(3, 23)(4, 17)(5, 24)(6, 20)(7, 29)(8, 30)(9, 31)(10, 19)(11, 21)(12, 32)(13, 26)(14, 27)(15, 28)(16, 25)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.90
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 16 f = 6
	degree seq :: [ 16^2 ]

E5.92 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^4, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^4 * Y1^-1, 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 ]
Map::
	R = (1, 17, 2, 18, 6, 22, 4, 20)(3, 19, 7, 23, 13, 29, 10, 26)(5, 21, 8, 24, 14, 30, 11, 27)(9, 25, 15, 31, 12, 28, 16, 32)(33, 49, 35, 51, 41, 57, 46, 62, 38, 54, 45, 61, 44, 60, 37, 53)(34, 50, 39, 55, 47, 63, 43, 59, 36, 52, 42, 58, 48, 64, 40, 56)
	L = (1, 36)(2, 33)(3, 42)(4, 38)(5, 43)(6, 34)(7, 35)(8, 37)(9, 48)(10, 45)(11, 46)(12, 47)(13, 39)(14, 40)(15, 41)(16, 44)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 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 E5.93
Graph:: bipartite
	v = 6 e = 32 f = 18
	degree seq :: [ 8^4, 16^2 ]

E5.93 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-4, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1), Y3^2 * Y1^-4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 17, 2, 18, 6, 22, 13, 29, 9, 25, 16, 32, 11, 27, 4, 20)(3, 19, 7, 23, 14, 30, 12, 28, 5, 21, 8, 24, 15, 31, 10, 26)(33, 49)(34, 50)(35, 51)(36, 52)(37, 53)(38, 54)(39, 55)(40, 56)(41, 57)(42, 58)(43, 59)(44, 60)(45, 61)(46, 62)(47, 63)(48, 64)
	L = (1, 35)(2, 39)(3, 41)(4, 42)(5, 33)(6, 46)(7, 48)(8, 34)(9, 37)(10, 45)(11, 47)(12, 36)(13, 44)(14, 43)(15, 38)(16, 40)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.92
Graph:: simple bipartite
	v = 18 e = 32 f = 6
	degree seq :: [ 2^16, 16^2 ]

E5.94 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2 * T1 * T2^3 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 14, 6, 13, 12, 5)(2, 7, 15, 11, 4, 9, 16, 8)(17, 18, 22, 20)(19, 25, 29, 23)(21, 27, 30, 24)(26, 31, 28, 32)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E5.95
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 16 f = 2
	degree seq :: [ 4^4, 8^2 ]

E5.95 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2 * T1 * T2^3 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 17, 3, 19, 10, 26, 14, 30, 6, 22, 13, 29, 12, 28, 5, 21)(2, 18, 7, 23, 15, 31, 11, 27, 4, 20, 9, 25, 16, 32, 8, 24)
	L = (1, 18)(2, 22)(3, 25)(4, 17)(5, 27)(6, 20)(7, 19)(8, 21)(9, 29)(10, 31)(11, 30)(12, 32)(13, 23)(14, 24)(15, 28)(16, 26)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.94
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 16 f = 6
	degree seq :: [ 16^2 ]

E5.96 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^4 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 17, 2, 18, 6, 22, 4, 20)(3, 19, 9, 25, 13, 29, 7, 23)(5, 21, 11, 27, 14, 30, 8, 24)(10, 26, 15, 31, 12, 28, 16, 32)(33, 49, 35, 51, 42, 58, 46, 62, 38, 54, 45, 61, 44, 60, 37, 53)(34, 50, 39, 55, 47, 63, 43, 59, 36, 52, 41, 57, 48, 64, 40, 56)
	L = (1, 36)(2, 33)(3, 39)(4, 38)(5, 40)(6, 34)(7, 45)(8, 46)(9, 35)(10, 48)(11, 37)(12, 47)(13, 41)(14, 43)(15, 42)(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) :: { ( 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 E5.97
Graph:: bipartite
	v = 6 e = 32 f = 18
	degree seq :: [ 8^4, 16^2 ]

E5.97 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-4, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 17, 2, 18, 6, 22, 13, 29, 9, 25, 16, 32, 12, 28, 4, 20)(3, 19, 8, 24, 14, 30, 11, 27, 5, 21, 7, 23, 15, 31, 10, 26)(33, 49)(34, 50)(35, 51)(36, 52)(37, 53)(38, 54)(39, 55)(40, 56)(41, 57)(42, 58)(43, 59)(44, 60)(45, 61)(46, 62)(47, 63)(48, 64)
	L = (1, 35)(2, 39)(3, 41)(4, 43)(5, 33)(6, 46)(7, 48)(8, 34)(9, 37)(10, 36)(11, 45)(12, 47)(13, 42)(14, 44)(15, 38)(16, 40)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.96
Graph:: simple bipartite
	v = 18 e = 32 f = 6
	degree seq :: [ 2^16, 16^2 ]

E5.98 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 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, 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 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 5, 25)(4, 24, 8, 28)(6, 26, 10, 30)(7, 27, 11, 31)(9, 29, 13, 33)(12, 32, 16, 36)(14, 34, 18, 38)(15, 35, 19, 39)(17, 37, 20, 40)(41, 61, 43, 63)(42, 62, 45, 65)(44, 64, 47, 67)(46, 66, 49, 69)(48, 68, 51, 71)(50, 70, 53, 73)(52, 72, 55, 75)(54, 74, 57, 77)(56, 76, 59, 79)(58, 78, 60, 80)
	L = (1, 44)(2, 46)(3, 47)(4, 41)(5, 49)(6, 42)(7, 43)(8, 52)(9, 45)(10, 54)(11, 55)(12, 48)(13, 57)(14, 50)(15, 51)(16, 60)(17, 53)(18, 59)(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 ) }
Outer automorphisms :: reflexible
Dual of E5.99
Graph:: simple bipartite
	v = 20 e = 40 f = 12
	degree seq :: [ 4^20 ]

E5.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 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^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y1^3 * Y3 * Y1^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 13, 33, 18, 38, 10, 30, 16, 36, 20, 40, 12, 32, 5, 25)(3, 23, 9, 29, 17, 37, 15, 35, 8, 28, 4, 24, 11, 31, 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, 59)(13, 57)(14, 60)(15, 46)(16, 47)(17, 53)(18, 49)(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) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E5.98
Graph:: bipartite
	v = 12 e = 40 f = 20
	degree seq :: [ 4^10, 20^2 ]

E5.100 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 10})
Quotient :: edge
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^4, (F * T1)^2, T2 * T1 * T2 * T1^-1, T1^-2 * T2^5 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 14, 6, 13, 20, 12, 5)(2, 7, 15, 18, 10, 4, 11, 19, 16, 8)(21, 22, 26, 24)(23, 28, 33, 30)(25, 27, 34, 31)(29, 36, 40, 38)(32, 35, 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) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E5.101
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 20 f = 5
	degree seq :: [ 4^5, 10^2 ]

E5.101 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 10})
Quotient :: loop
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^2 * T2^2, (F * T2)^2, T2^-1 * T1^2 * T2^-1, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 6, 26, 5, 25)(2, 22, 7, 27, 4, 24, 8, 28)(9, 29, 13, 33, 10, 30, 14, 34)(11, 31, 15, 35, 12, 32, 16, 36)(17, 37, 19, 39, 18, 38, 20, 40)
	L = (1, 22)(2, 26)(3, 29)(4, 21)(5, 30)(6, 24)(7, 31)(8, 32)(9, 25)(10, 23)(11, 28)(12, 27)(13, 37)(14, 38)(15, 39)(16, 40)(17, 34)(18, 33)(19, 36)(20, 35)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E5.100
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 20 f = 7
	degree seq :: [ 8^5 ]

E5.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2, (Y3^-1 * Y1^-1)^4, Y2^10 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 4, 24)(3, 23, 8, 28, 13, 33, 10, 30)(5, 25, 7, 27, 14, 34, 11, 31)(9, 29, 16, 36, 20, 40, 18, 38)(12, 32, 15, 35, 17, 37, 19, 39)(41, 61, 43, 63, 49, 69, 57, 77, 54, 74, 46, 66, 53, 73, 60, 80, 52, 72, 45, 65)(42, 62, 47, 67, 55, 75, 58, 78, 50, 70, 44, 64, 51, 71, 59, 79, 56, 76, 48, 68)
	L = (1, 43)(2, 47)(3, 49)(4, 51)(5, 41)(6, 53)(7, 55)(8, 42)(9, 57)(10, 44)(11, 59)(12, 45)(13, 60)(14, 46)(15, 58)(16, 48)(17, 54)(18, 50)(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, 8, 2, 8, 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 E5.103
Graph:: bipartite
	v = 7 e = 40 f = 25
	degree seq :: [ 8^5, 20^2 ]

E5.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^5, (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, 44, 64)(43, 63, 48, 68, 53, 73, 50, 70)(45, 65, 47, 67, 54, 74, 51, 71)(49, 69, 56, 76, 60, 80, 58, 78)(52, 72, 55, 75, 57, 77, 59, 79)
	L = (1, 43)(2, 47)(3, 49)(4, 51)(5, 41)(6, 53)(7, 55)(8, 42)(9, 57)(10, 44)(11, 59)(12, 45)(13, 60)(14, 46)(15, 58)(16, 48)(17, 54)(18, 50)(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) :: { ( 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E5.102
Graph:: simple bipartite
	v = 25 e = 40 f = 7
	degree seq :: [ 2^20, 8^5 ]

E5.104 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 20, 20})
Quotient :: regular
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1, T2 * T1^10 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 19, 15, 11, 7, 3, 6, 10, 14, 18, 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, 20)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 10 f = 1
	degree seq :: [ 20 ]

E5.105 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 20, 20})
Quotient :: edge
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^10 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 18, 14, 10, 6, 2, 5, 9, 13, 17, 20, 16, 12, 8, 4)(21, 22)(23, 25)(24, 26)(27, 29)(28, 30)(31, 33)(32, 34)(35, 37)(36, 38)(39, 40)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E5.106
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 20 f = 1
	degree seq :: [ 2^10, 20 ]

E5.106 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 20, 20})
Quotient :: loop
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^10 * T1 ]
Map::
	R = (1, 21, 3, 23, 7, 27, 11, 31, 15, 35, 19, 39, 18, 38, 14, 34, 10, 30, 6, 26, 2, 22, 5, 25, 9, 29, 13, 33, 17, 37, 20, 40, 16, 36, 12, 32, 8, 28, 4, 24)
	L = (1, 22)(2, 21)(3, 25)(4, 26)(5, 23)(6, 24)(7, 29)(8, 30)(9, 27)(10, 28)(11, 33)(12, 34)(13, 31)(14, 32)(15, 37)(16, 38)(17, 35)(18, 36)(19, 40)(20, 39)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E5.105
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 20 f = 11
	degree seq :: [ 40 ]

E5.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^10 * Y1, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 21, 2, 22)(3, 23, 5, 25)(4, 24, 6, 26)(7, 27, 9, 29)(8, 28, 10, 30)(11, 31, 13, 33)(12, 32, 14, 34)(15, 35, 17, 37)(16, 36, 18, 38)(19, 39, 20, 40)(41, 61, 43, 63, 47, 67, 51, 71, 55, 75, 59, 79, 58, 78, 54, 74, 50, 70, 46, 66, 42, 62, 45, 65, 49, 69, 53, 73, 57, 77, 60, 80, 56, 76, 52, 72, 48, 68, 44, 64)
	L = (1, 42)(2, 41)(3, 45)(4, 46)(5, 43)(6, 44)(7, 49)(8, 50)(9, 47)(10, 48)(11, 53)(12, 54)(13, 51)(14, 52)(15, 57)(16, 58)(17, 55)(18, 56)(19, 60)(20, 59)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 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 E5.108
Graph:: bipartite
	v = 11 e = 40 f = 21
	degree seq :: [ 4^10, 40 ]

E5.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^10 ]
Map::
	R = (1, 21, 2, 22, 5, 25, 9, 29, 13, 33, 17, 37, 19, 39, 15, 35, 11, 31, 7, 27, 3, 23, 6, 26, 10, 30, 14, 34, 18, 38, 20, 40, 16, 36, 12, 32, 8, 28, 4, 24)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(47, 67)(48, 68)(49, 69)(50, 70)(51, 71)(52, 72)(53, 73)(54, 74)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)
	L = (1, 43)(2, 46)(3, 41)(4, 47)(5, 50)(6, 42)(7, 44)(8, 51)(9, 54)(10, 45)(11, 48)(12, 55)(13, 58)(14, 49)(15, 52)(16, 59)(17, 60)(18, 53)(19, 56)(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, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E5.107
Graph:: bipartite
	v = 21 e = 40 f = 11
	degree seq :: [ 2^20, 40 ]

E5.109 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 11, 22})
Quotient :: regular
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-11 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 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, 21)
	local type(s) :: { ( 11^22 ) }
Outer automorphisms :: reflexible
Dual of E5.110
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 11 f = 2
	degree seq :: [ 22 ]

E5.110 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 11, 22})
Quotient :: regular
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1, T1^11 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 21, 22, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 21)(20, 22)
	local type(s) :: { ( 22^11 ) }
Outer automorphisms :: reflexible
Dual of E5.109
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 11 f = 1
	degree seq :: [ 11^2 ]

E5.111 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 11, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^11 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 22, 18, 14, 10, 6)(23, 24)(25, 27)(26, 28)(29, 31)(30, 32)(33, 35)(34, 36)(37, 39)(38, 40)(41, 43)(42, 44)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44, 44 ), ( 44^11 ) }
Outer automorphisms :: reflexible
Dual of E5.115
Transitivity :: ET+
Graph:: simple bipartite
	v = 13 e = 22 f = 1
	degree seq :: [ 2^11, 11^2 ]

E5.112 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 11, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^9, T2^-2 * T1^3 * T2^-6 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 20, 15, 12, 6, 5)(23, 24, 28, 33, 37, 41, 44, 39, 36, 31, 26)(25, 29, 27, 30, 34, 38, 42, 43, 40, 35, 32)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 4^11 ), ( 4^22 ) }
Outer automorphisms :: reflexible
Dual of E5.116
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 22 f = 11
	degree seq :: [ 11^2, 22 ]

E5.113 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 11, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-11 ]
Map::
	R = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 21)(23, 24, 27, 31, 35, 39, 43, 41, 37, 33, 29, 25, 28, 32, 36, 40, 44, 42, 38, 34, 30, 26)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22, 22 ), ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E5.114
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 22 f = 2
	degree seq :: [ 2^11, 22 ]

E5.114 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 11, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^11 ]
Map::
	R = (1, 23, 3, 25, 7, 29, 11, 33, 15, 37, 19, 41, 20, 42, 16, 38, 12, 34, 8, 30, 4, 26)(2, 24, 5, 27, 9, 31, 13, 35, 17, 39, 21, 43, 22, 44, 18, 40, 14, 36, 10, 32, 6, 28)
	L = (1, 24)(2, 23)(3, 27)(4, 28)(5, 25)(6, 26)(7, 31)(8, 32)(9, 29)(10, 30)(11, 35)(12, 36)(13, 33)(14, 34)(15, 39)(16, 40)(17, 37)(18, 38)(19, 43)(20, 44)(21, 41)(22, 42)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E5.113
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 22 f = 12
	degree seq :: [ 22^2 ]

E5.115 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 11, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^9, T2^-2 * T1^3 * T2^-6 ]
Map::
	R = (1, 23, 3, 25, 9, 31, 13, 35, 17, 39, 21, 43, 19, 41, 16, 38, 11, 33, 8, 30, 2, 24, 7, 29, 4, 26, 10, 32, 14, 36, 18, 40, 22, 44, 20, 42, 15, 37, 12, 34, 6, 28, 5, 27)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 33)(7, 27)(8, 34)(9, 26)(10, 25)(11, 37)(12, 38)(13, 32)(14, 31)(15, 41)(16, 42)(17, 36)(18, 35)(19, 44)(20, 43)(21, 40)(22, 39)
	local type(s) :: { ( 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11, 2, 11 ) }
Outer automorphisms :: reflexible
Dual of E5.111
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 22 f = 13
	degree seq :: [ 44 ]

E5.116 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 11, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-11 ]
Map:: non-degenerate
	R = (1, 23, 3, 25)(2, 24, 6, 28)(4, 26, 7, 29)(5, 27, 10, 32)(8, 30, 11, 33)(9, 31, 14, 36)(12, 34, 15, 37)(13, 35, 18, 40)(16, 38, 19, 41)(17, 39, 22, 44)(20, 42, 21, 43)
	L = (1, 24)(2, 27)(3, 28)(4, 23)(5, 31)(6, 32)(7, 25)(8, 26)(9, 35)(10, 36)(11, 29)(12, 30)(13, 39)(14, 40)(15, 33)(16, 34)(17, 43)(18, 44)(19, 37)(20, 38)(21, 41)(22, 42)
	local type(s) :: { ( 11, 22, 11, 22 ) }
Outer automorphisms :: reflexible
Dual of E5.112
Transitivity :: ET+ VT+ AT
Graph::
	v = 11 e = 22 f = 3
	degree seq :: [ 4^11 ]

E5.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 11, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^11, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 23, 2, 24)(3, 25, 5, 27)(4, 26, 6, 28)(7, 29, 9, 31)(8, 30, 10, 32)(11, 33, 13, 35)(12, 34, 14, 36)(15, 37, 17, 39)(16, 38, 18, 40)(19, 41, 21, 43)(20, 42, 22, 44)(45, 67, 47, 69, 51, 73, 55, 77, 59, 81, 63, 85, 64, 86, 60, 82, 56, 78, 52, 74, 48, 70)(46, 68, 49, 71, 53, 75, 57, 79, 61, 83, 65, 87, 66, 88, 62, 84, 58, 80, 54, 76, 50, 72)
	L = (1, 46)(2, 45)(3, 49)(4, 50)(5, 47)(6, 48)(7, 53)(8, 54)(9, 51)(10, 52)(11, 57)(12, 58)(13, 55)(14, 56)(15, 61)(16, 62)(17, 59)(18, 60)(19, 65)(20, 66)(21, 63)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E5.120
Graph:: bipartite
	v = 13 e = 44 f = 23
	degree seq :: [ 4^11, 22^2 ]

E5.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 11, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^4 * Y2^4, Y2^8 * Y1^-3, Y1^3 * Y2^-1 * Y1 * Y2^-5 * Y1, Y1^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 11, 33, 15, 37, 19, 41, 22, 44, 17, 39, 14, 36, 9, 31, 4, 26)(3, 25, 7, 29, 5, 27, 8, 30, 12, 34, 16, 38, 20, 42, 21, 43, 18, 40, 13, 35, 10, 32)(45, 67, 47, 69, 53, 75, 57, 79, 61, 83, 65, 87, 63, 85, 60, 82, 55, 77, 52, 74, 46, 68, 51, 73, 48, 70, 54, 76, 58, 80, 62, 84, 66, 88, 64, 86, 59, 81, 56, 78, 50, 72, 49, 71)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 49)(7, 48)(8, 46)(9, 57)(10, 58)(11, 52)(12, 50)(13, 61)(14, 62)(15, 56)(16, 55)(17, 65)(18, 66)(19, 60)(20, 59)(21, 63)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E5.119
Graph:: bipartite
	v = 3 e = 44 f = 33
	degree seq :: [ 22^2, 44 ]

E5.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 11, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^11 * Y2, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)(45, 67, 46, 68)(47, 69, 49, 71)(48, 70, 50, 72)(51, 73, 53, 75)(52, 74, 54, 76)(55, 77, 57, 79)(56, 78, 58, 80)(59, 81, 61, 83)(60, 82, 62, 84)(63, 85, 65, 87)(64, 86, 66, 88)
	L = (1, 47)(2, 49)(3, 51)(4, 45)(5, 53)(6, 46)(7, 55)(8, 48)(9, 57)(10, 50)(11, 59)(12, 52)(13, 61)(14, 54)(15, 63)(16, 56)(17, 65)(18, 58)(19, 66)(20, 60)(21, 64)(22, 62)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 22, 44 ), ( 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E5.118
Graph:: simple bipartite
	v = 33 e = 44 f = 3
	degree seq :: [ 2^22, 4^11 ]

E5.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 11, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-11 ]
Map::
	R = (1, 23, 2, 24, 5, 27, 9, 31, 13, 35, 17, 39, 21, 43, 19, 41, 15, 37, 11, 33, 7, 29, 3, 25, 6, 28, 10, 32, 14, 36, 18, 40, 22, 44, 20, 42, 16, 38, 12, 34, 8, 30, 4, 26)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 50)(3, 45)(4, 51)(5, 54)(6, 46)(7, 48)(8, 55)(9, 58)(10, 49)(11, 52)(12, 59)(13, 62)(14, 53)(15, 56)(16, 63)(17, 66)(18, 57)(19, 60)(20, 65)(21, 64)(22, 61)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E5.117
Graph:: bipartite
	v = 23 e = 44 f = 13
	degree seq :: [ 2^22, 44 ]

E5.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 11, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^11 * Y1, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 23, 2, 24)(3, 25, 5, 27)(4, 26, 6, 28)(7, 29, 9, 31)(8, 30, 10, 32)(11, 33, 13, 35)(12, 34, 14, 36)(15, 37, 17, 39)(16, 38, 18, 40)(19, 41, 21, 43)(20, 42, 22, 44)(45, 67, 47, 69, 51, 73, 55, 77, 59, 81, 63, 85, 66, 88, 62, 84, 58, 80, 54, 76, 50, 72, 46, 68, 49, 71, 53, 75, 57, 79, 61, 83, 65, 87, 64, 86, 60, 82, 56, 78, 52, 74, 48, 70)
	L = (1, 46)(2, 45)(3, 49)(4, 50)(5, 47)(6, 48)(7, 53)(8, 54)(9, 51)(10, 52)(11, 57)(12, 58)(13, 55)(14, 56)(15, 61)(16, 62)(17, 59)(18, 60)(19, 65)(20, 66)(21, 63)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 22, 2, 22 ), ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E5.122
Graph:: bipartite
	v = 12 e = 44 f = 24
	degree seq :: [ 4^11, 44 ]

E5.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 11, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^3 * Y3^4 * Y1, Y1^-1 * Y3^10, Y1^11, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 11, 33, 15, 37, 19, 41, 22, 44, 17, 39, 14, 36, 9, 31, 4, 26)(3, 25, 7, 29, 5, 27, 8, 30, 12, 34, 16, 38, 20, 42, 21, 43, 18, 40, 13, 35, 10, 32)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 49)(7, 48)(8, 46)(9, 57)(10, 58)(11, 52)(12, 50)(13, 61)(14, 62)(15, 56)(16, 55)(17, 65)(18, 66)(19, 60)(20, 59)(21, 63)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E5.121
Graph:: simple bipartite
	v = 24 e = 44 f = 12
	degree seq :: [ 2^22, 22^2 ]

E5.123 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^3, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y1 * Y3, (Y3 * Y2)^2 ]
Map::
	R = (1, 26, 2, 29, 5, 25)(3, 31, 7, 33, 9, 27)(4, 34, 10, 35, 11, 28)(6, 36, 12, 38, 14, 30)(8, 39, 15, 40, 16, 32)(13, 41, 17, 44, 20, 37)(18, 43, 19, 45, 21, 42)(22, 47, 23, 48, 24, 46)
	L = (1, 3)(2, 6)(4, 8)(5, 11)(7, 13)(9, 16)(10, 18)(12, 19)(14, 20)(15, 22)(17, 23)(21, 24)(25, 28)(26, 31)(27, 32)(29, 36)(30, 37)(33, 41)(34, 39)(35, 43)(38, 45)(40, 47)(42, 46)(44, 48)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 24 f = 8
	degree seq :: [ 6^8 ]

E5.124 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^3, R * Y2 * R * Y3, (R * Y1)^2, (Y2 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map::
	R = (1, 26, 2, 28, 4, 25)(3, 30, 6, 31, 7, 27)(5, 33, 9, 34, 10, 29)(8, 37, 13, 38, 14, 32)(11, 41, 17, 42, 18, 35)(12, 43, 19, 39, 15, 36)(16, 45, 21, 44, 20, 40)(22, 48, 24, 47, 23, 46)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 20)(14, 17)(18, 22)(19, 23)(21, 24)(25, 27)(26, 29)(28, 32)(30, 35)(31, 36)(33, 39)(34, 40)(37, 44)(38, 41)(42, 46)(43, 47)(45, 48)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 24 f = 8
	degree seq :: [ 6^8 ]

E5.125 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2, (Y2 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 25, 4, 28, 5, 29)(2, 26, 7, 31, 8, 32)(3, 27, 9, 33, 10, 34)(6, 30, 13, 37, 14, 38)(11, 35, 12, 36, 19, 43)(15, 39, 16, 40, 22, 46)(17, 41, 18, 42, 23, 47)(20, 44, 21, 45, 24, 48)(49, 50)(51, 54)(52, 57)(53, 60)(55, 61)(56, 64)(58, 66)(59, 65)(62, 69)(63, 68)(67, 70)(71, 72)(73, 75)(74, 78)(76, 83)(77, 80)(79, 87)(81, 89)(82, 86)(84, 88)(85, 92)(90, 93)(91, 95)(94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E5.128
Graph:: simple bipartite
	v = 32 e = 48 f = 8
	degree seq :: [ 2^24, 6^8 ]

E5.126 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3^-1)^4, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 25, 3, 27, 4, 28)(2, 26, 5, 29, 6, 30)(7, 31, 11, 35, 12, 36)(8, 32, 13, 37, 14, 38)(9, 33, 15, 39, 16, 40)(10, 34, 17, 41, 18, 42)(19, 43, 23, 47, 20, 44)(21, 45, 24, 48, 22, 46)(49, 50)(51, 55)(52, 56)(53, 57)(54, 58)(59, 66)(60, 67)(61, 68)(62, 63)(64, 69)(65, 70)(71, 72)(73, 74)(75, 79)(76, 80)(77, 81)(78, 82)(83, 90)(84, 91)(85, 92)(86, 87)(88, 93)(89, 94)(95, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E5.129
Graph:: simple bipartite
	v = 32 e = 48 f = 8
	degree seq :: [ 2^24, 6^8 ]

E5.127 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
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^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28)(2, 26, 5, 29)(3, 27, 6, 30)(7, 31, 13, 37)(8, 32, 14, 38)(9, 33, 15, 39)(10, 34, 16, 40)(11, 35, 17, 41)(12, 36, 18, 42)(19, 43, 22, 46)(20, 44, 23, 47)(21, 45, 24, 48)(49, 50, 51)(52, 55, 56)(53, 57, 58)(54, 59, 60)(61, 66, 67)(62, 68, 63)(64, 69, 65)(70, 72, 71)(73, 75, 74)(76, 80, 79)(77, 82, 81)(78, 84, 83)(85, 91, 90)(86, 87, 92)(88, 89, 93)(94, 95, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.130
Graph:: simple bipartite
	v = 28 e = 48 f = 12
	degree seq :: [ 3^16, 4^12 ]

E5.128 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2, (Y2 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
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, 9, 33, 57, 81, 10, 34, 58, 82)(6, 30, 54, 78, 13, 37, 61, 85, 14, 38, 62, 86)(11, 35, 59, 83, 12, 36, 60, 84, 19, 43, 67, 91)(15, 39, 63, 87, 16, 40, 64, 88, 22, 46, 70, 94)(17, 41, 65, 89, 18, 42, 66, 90, 23, 47, 71, 95)(20, 44, 68, 92, 21, 45, 69, 93, 24, 48, 72, 96)
	L = (1, 26)(2, 25)(3, 30)(4, 33)(5, 36)(6, 27)(7, 37)(8, 40)(9, 28)(10, 42)(11, 41)(12, 29)(13, 31)(14, 45)(15, 44)(16, 32)(17, 35)(18, 34)(19, 46)(20, 39)(21, 38)(22, 43)(23, 48)(24, 47)(49, 75)(50, 78)(51, 73)(52, 83)(53, 80)(54, 74)(55, 87)(56, 77)(57, 89)(58, 86)(59, 76)(60, 88)(61, 92)(62, 82)(63, 79)(64, 84)(65, 81)(66, 93)(67, 95)(68, 85)(69, 90)(70, 96)(71, 91)(72, 94)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.125
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 32
	degree seq :: [ 12^8 ]

E5.129 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3^-1)^4, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 25, 49, 73, 3, 27, 51, 75, 4, 28, 52, 76)(2, 26, 50, 74, 5, 29, 53, 77, 6, 30, 54, 78)(7, 31, 55, 79, 11, 35, 59, 83, 12, 36, 60, 84)(8, 32, 56, 80, 13, 37, 61, 85, 14, 38, 62, 86)(9, 33, 57, 81, 15, 39, 63, 87, 16, 40, 64, 88)(10, 34, 58, 82, 17, 41, 65, 89, 18, 42, 66, 90)(19, 43, 67, 91, 23, 47, 71, 95, 20, 44, 68, 92)(21, 45, 69, 93, 24, 48, 72, 96, 22, 46, 70, 94)
	L = (1, 26)(2, 25)(3, 31)(4, 32)(5, 33)(6, 34)(7, 27)(8, 28)(9, 29)(10, 30)(11, 42)(12, 43)(13, 44)(14, 39)(15, 38)(16, 45)(17, 46)(18, 35)(19, 36)(20, 37)(21, 40)(22, 41)(23, 48)(24, 47)(49, 74)(50, 73)(51, 79)(52, 80)(53, 81)(54, 82)(55, 75)(56, 76)(57, 77)(58, 78)(59, 90)(60, 91)(61, 92)(62, 87)(63, 86)(64, 93)(65, 94)(66, 83)(67, 84)(68, 85)(69, 88)(70, 89)(71, 96)(72, 95)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.126
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 32
	degree seq :: [ 12^8 ]

E5.130 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
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^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 5, 29, 53, 77)(3, 27, 51, 75, 6, 30, 54, 78)(7, 31, 55, 79, 13, 37, 61, 85)(8, 32, 56, 80, 14, 38, 62, 86)(9, 33, 57, 81, 15, 39, 63, 87)(10, 34, 58, 82, 16, 40, 64, 88)(11, 35, 59, 83, 17, 41, 65, 89)(12, 36, 60, 84, 18, 42, 66, 90)(19, 43, 67, 91, 22, 46, 70, 94)(20, 44, 68, 92, 23, 47, 71, 95)(21, 45, 69, 93, 24, 48, 72, 96)
	L = (1, 26)(2, 27)(3, 25)(4, 31)(5, 33)(6, 35)(7, 32)(8, 28)(9, 34)(10, 29)(11, 36)(12, 30)(13, 42)(14, 44)(15, 38)(16, 45)(17, 40)(18, 43)(19, 37)(20, 39)(21, 41)(22, 48)(23, 46)(24, 47)(49, 75)(50, 73)(51, 74)(52, 80)(53, 82)(54, 84)(55, 76)(56, 79)(57, 77)(58, 81)(59, 78)(60, 83)(61, 91)(62, 87)(63, 92)(64, 89)(65, 93)(66, 85)(67, 90)(68, 86)(69, 88)(70, 95)(71, 96)(72, 94)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.127
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 28
	degree seq :: [ 8^12 ]

E5.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 19, 43)(12, 36, 16, 40)(13, 37, 17, 41)(14, 38, 20, 44)(15, 39, 21, 45)(18, 42, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 52, 76)(50, 74, 53, 77, 54, 78)(55, 79, 59, 83, 60, 84)(56, 80, 61, 85, 62, 86)(57, 81, 63, 87, 64, 88)(58, 82, 65, 89, 66, 90)(67, 91, 71, 95, 68, 92)(69, 93, 72, 96, 70, 94)
	L = (1, 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, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 20 e = 48 f = 20
	degree seq :: [ 4^12, 6^8 ]

E5.132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map::
	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, 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, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 20 e = 48 f = 20
	degree seq :: [ 4^12, 6^8 ]

E5.133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 6, 30)(4, 28, 7, 31)(5, 29, 8, 32)(9, 33, 13, 37)(10, 34, 14, 38)(11, 35, 15, 39)(12, 36, 16, 40)(17, 41, 21, 45)(18, 42, 22, 46)(19, 43, 23, 47)(20, 44, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 54, 78, 56, 80)(52, 76, 58, 82, 59, 83)(55, 79, 62, 86, 63, 87)(57, 81, 65, 89, 66, 90)(60, 84, 68, 92, 67, 91)(61, 85, 69, 93, 70, 94)(64, 88, 72, 96, 71, 95)
	L = (1, 52)(2, 55)(3, 57)(4, 49)(5, 60)(6, 61)(7, 50)(8, 64)(9, 51)(10, 67)(11, 65)(12, 53)(13, 54)(14, 71)(15, 69)(16, 56)(17, 59)(18, 68)(19, 58)(20, 66)(21, 63)(22, 72)(23, 62)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.134
Graph:: simple bipartite
	v = 20 e = 48 f = 20
	degree seq :: [ 4^12, 6^8 ]

E5.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y2 * Y3)^3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 7, 31)(5, 29, 13, 37)(6, 30, 15, 39)(8, 32, 19, 43)(10, 34, 17, 41)(11, 35, 16, 40)(12, 36, 20, 44)(14, 38, 18, 42)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 53, 77)(50, 74, 54, 78, 56, 80)(52, 76, 59, 83, 60, 84)(55, 79, 65, 89, 66, 90)(57, 81, 68, 92, 69, 93)(58, 82, 67, 91, 70, 94)(61, 85, 71, 95, 64, 88)(62, 86, 72, 96, 63, 87)
	L = (1, 52)(2, 55)(3, 58)(4, 49)(5, 62)(6, 64)(7, 50)(8, 68)(9, 65)(10, 51)(11, 63)(12, 67)(13, 66)(14, 53)(15, 59)(16, 54)(17, 57)(18, 61)(19, 60)(20, 56)(21, 71)(22, 72)(23, 69)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.133
Graph:: simple bipartite
	v = 20 e = 48 f = 20
	degree seq :: [ 4^12, 6^8 ]

E5.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 8, 32)(4, 28, 7, 31)(5, 29, 6, 30)(9, 33, 16, 40)(10, 34, 15, 39)(11, 35, 14, 38)(12, 36, 13, 37)(17, 41, 23, 47)(18, 42, 24, 48)(19, 43, 21, 45)(20, 44, 22, 46)(49, 73, 51, 75, 53, 77)(50, 74, 54, 78, 56, 80)(52, 76, 58, 82, 59, 83)(55, 79, 62, 86, 63, 87)(57, 81, 65, 89, 66, 90)(60, 84, 68, 92, 67, 91)(61, 85, 69, 93, 70, 94)(64, 88, 72, 96, 71, 95)
	L = (1, 52)(2, 55)(3, 57)(4, 49)(5, 60)(6, 61)(7, 50)(8, 64)(9, 51)(10, 67)(11, 65)(12, 53)(13, 54)(14, 71)(15, 69)(16, 56)(17, 59)(18, 68)(19, 58)(20, 66)(21, 63)(22, 72)(23, 62)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 20 e = 48 f = 20
	degree seq :: [ 4^12, 6^8 ]

E5.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y3 * Y1)^2, Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 7, 31)(5, 29, 13, 37)(6, 30, 15, 39)(8, 32, 19, 43)(10, 34, 18, 42)(11, 35, 20, 44)(12, 36, 16, 40)(14, 38, 17, 41)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 53, 77)(50, 74, 54, 78, 56, 80)(52, 76, 59, 83, 60, 84)(55, 79, 65, 89, 66, 90)(57, 81, 69, 93, 64, 88)(58, 82, 63, 87, 70, 94)(61, 85, 68, 92, 71, 95)(62, 86, 72, 96, 67, 91)
	L = (1, 52)(2, 55)(3, 58)(4, 49)(5, 62)(6, 64)(7, 50)(8, 68)(9, 66)(10, 51)(11, 67)(12, 63)(13, 65)(14, 53)(15, 60)(16, 54)(17, 61)(18, 57)(19, 59)(20, 56)(21, 71)(22, 72)(23, 69)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 20 e = 48 f = 20
	degree seq :: [ 4^12, 6^8 ]

E5.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 10, 34)(5, 29, 16, 40)(6, 30, 8, 32)(7, 31, 18, 42)(9, 33, 17, 41)(12, 36, 23, 47)(13, 37, 22, 46)(14, 38, 21, 45)(15, 39, 20, 44)(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, 60, 84)(56, 80, 69, 93, 70, 94)(58, 82, 59, 83, 67, 91)(61, 85, 72, 96, 65, 89)(64, 88, 68, 92, 71, 95)
	L = (1, 52)(2, 56)(3, 60)(4, 54)(5, 65)(6, 49)(7, 67)(8, 58)(9, 64)(10, 50)(11, 70)(12, 61)(13, 51)(14, 53)(15, 72)(16, 69)(17, 62)(18, 63)(19, 68)(20, 55)(21, 57)(22, 71)(23, 59)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 20 e = 48 f = 20
	degree seq :: [ 4^12, 6^8 ]

E5.138 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28)(2, 26, 5, 29)(3, 27, 6, 30)(7, 31, 13, 37)(8, 32, 14, 38)(9, 33, 15, 39)(10, 34, 16, 40)(11, 35, 17, 41)(12, 36, 18, 42)(19, 43, 22, 46)(20, 44, 23, 47)(21, 45, 24, 48)(49, 50, 51)(52, 55, 56)(53, 57, 58)(54, 59, 60)(61, 67, 64)(62, 65, 68)(63, 69, 66)(70, 72, 71)(73, 75, 74)(76, 80, 79)(77, 82, 81)(78, 84, 83)(85, 88, 91)(86, 92, 89)(87, 90, 93)(94, 95, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.139
Graph:: simple bipartite
	v = 28 e = 48 f = 12
	degree seq :: [ 3^16, 4^12 ]

E5.139 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 5, 29, 53, 77)(3, 27, 51, 75, 6, 30, 54, 78)(7, 31, 55, 79, 13, 37, 61, 85)(8, 32, 56, 80, 14, 38, 62, 86)(9, 33, 57, 81, 15, 39, 63, 87)(10, 34, 58, 82, 16, 40, 64, 88)(11, 35, 59, 83, 17, 41, 65, 89)(12, 36, 60, 84, 18, 42, 66, 90)(19, 43, 67, 91, 22, 46, 70, 94)(20, 44, 68, 92, 23, 47, 71, 95)(21, 45, 69, 93, 24, 48, 72, 96)
	L = (1, 26)(2, 27)(3, 25)(4, 31)(5, 33)(6, 35)(7, 32)(8, 28)(9, 34)(10, 29)(11, 36)(12, 30)(13, 43)(14, 41)(15, 45)(16, 37)(17, 44)(18, 39)(19, 40)(20, 38)(21, 42)(22, 48)(23, 46)(24, 47)(49, 75)(50, 73)(51, 74)(52, 80)(53, 82)(54, 84)(55, 76)(56, 79)(57, 77)(58, 81)(59, 78)(60, 83)(61, 88)(62, 92)(63, 90)(64, 91)(65, 86)(66, 93)(67, 85)(68, 89)(69, 87)(70, 95)(71, 96)(72, 94)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.138
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 28
	degree seq :: [ 8^12 ]

E5.140 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y3 * Y2)^3, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 26, 2, 25)(3, 31, 7, 27)(4, 33, 9, 28)(5, 35, 11, 29)(6, 37, 13, 30)(8, 36, 12, 32)(10, 38, 14, 34)(15, 43, 19, 39)(16, 44, 20, 40)(17, 47, 23, 41)(18, 46, 22, 42)(21, 48, 24, 45)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 19)(12, 21)(13, 22)(16, 23)(20, 24)(25, 28)(26, 30)(27, 32)(29, 36)(31, 40)(33, 39)(34, 41)(35, 44)(37, 43)(38, 45)(42, 47)(46, 48)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E5.141
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 12 e = 24 f = 4
	degree seq :: [ 4^12 ]

E5.141 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y2 * Y3 * Y1^2, (R * Y1)^2, R * Y2 * R * Y3, Y1^-4 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 30, 6, 38, 14, 34, 10, 29, 5, 25)(3, 33, 9, 39, 15, 36, 12, 28, 4, 35, 11, 27)(7, 40, 16, 37, 13, 42, 18, 32, 8, 41, 17, 31)(19, 46, 22, 45, 21, 48, 24, 44, 20, 47, 23, 43)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 19)(10, 15)(11, 21)(12, 20)(16, 22)(17, 24)(18, 23)(25, 28)(26, 32)(27, 34)(29, 31)(30, 39)(33, 44)(35, 43)(36, 45)(37, 38)(40, 47)(41, 46)(42, 48)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E5.140
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 24 f = 12
	degree seq :: [ 12^4 ]

E5.142 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^3, (Y3 * Y2)^4 ]
Map::
	R = (1, 25, 4, 28)(2, 26, 6, 30)(3, 27, 8, 32)(5, 29, 12, 36)(7, 31, 15, 39)(9, 33, 17, 41)(10, 34, 18, 42)(11, 35, 19, 43)(13, 37, 21, 45)(14, 38, 22, 46)(16, 40, 23, 47)(20, 44, 24, 48)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 64)(58, 63)(60, 68)(62, 67)(65, 69)(66, 71)(70, 72)(73, 75)(74, 77)(76, 82)(78, 86)(79, 83)(80, 85)(81, 84)(87, 92)(88, 91)(89, 94)(90, 93)(95, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E5.145
Graph:: simple bipartite
	v = 36 e = 48 f = 4
	degree seq :: [ 2^24, 4^12 ]

E5.143 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^4, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 25, 4, 28, 6, 30, 15, 39, 9, 33, 5, 29)(2, 26, 7, 31, 3, 27, 10, 34, 14, 38, 8, 32)(11, 35, 19, 43, 12, 36, 21, 45, 13, 37, 20, 44)(16, 40, 22, 46, 17, 41, 24, 48, 18, 42, 23, 47)(49, 50)(51, 57)(52, 59)(53, 60)(54, 62)(55, 64)(56, 65)(58, 66)(61, 63)(67, 70)(68, 72)(69, 71)(73, 75)(74, 78)(76, 84)(77, 85)(79, 89)(80, 90)(81, 86)(82, 88)(83, 87)(91, 96)(92, 95)(93, 94)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E5.144
Graph:: simple bipartite
	v = 28 e = 48 f = 12
	degree seq :: [ 2^24, 12^4 ]

E5.144 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^3, (Y3 * Y2)^4 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76)(2, 26, 50, 74, 6, 30, 54, 78)(3, 27, 51, 75, 8, 32, 56, 80)(5, 29, 53, 77, 12, 36, 60, 84)(7, 31, 55, 79, 15, 39, 63, 87)(9, 33, 57, 81, 17, 41, 65, 89)(10, 34, 58, 82, 18, 42, 66, 90)(11, 35, 59, 83, 19, 43, 67, 91)(13, 37, 61, 85, 21, 45, 69, 93)(14, 38, 62, 86, 22, 46, 70, 94)(16, 40, 64, 88, 23, 47, 71, 95)(20, 44, 68, 92, 24, 48, 72, 96)
	L = (1, 26)(2, 25)(3, 31)(4, 33)(5, 35)(6, 37)(7, 27)(8, 40)(9, 28)(10, 39)(11, 29)(12, 44)(13, 30)(14, 43)(15, 34)(16, 32)(17, 45)(18, 47)(19, 38)(20, 36)(21, 41)(22, 48)(23, 42)(24, 46)(49, 75)(50, 77)(51, 73)(52, 82)(53, 74)(54, 86)(55, 83)(56, 85)(57, 84)(58, 76)(59, 79)(60, 81)(61, 80)(62, 78)(63, 92)(64, 91)(65, 94)(66, 93)(67, 88)(68, 87)(69, 90)(70, 89)(71, 96)(72, 95)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.143
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 28
	degree seq :: [ 8^12 ]

E5.145 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^4, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 6, 30, 54, 78, 15, 39, 63, 87, 9, 33, 57, 81, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 3, 27, 51, 75, 10, 34, 58, 82, 14, 38, 62, 86, 8, 32, 56, 80)(11, 35, 59, 83, 19, 43, 67, 91, 12, 36, 60, 84, 21, 45, 69, 93, 13, 37, 61, 85, 20, 44, 68, 92)(16, 40, 64, 88, 22, 46, 70, 94, 17, 41, 65, 89, 24, 48, 72, 96, 18, 42, 66, 90, 23, 47, 71, 95)
	L = (1, 26)(2, 25)(3, 33)(4, 35)(5, 36)(6, 38)(7, 40)(8, 41)(9, 27)(10, 42)(11, 28)(12, 29)(13, 39)(14, 30)(15, 37)(16, 31)(17, 32)(18, 34)(19, 46)(20, 48)(21, 47)(22, 43)(23, 45)(24, 44)(49, 75)(50, 78)(51, 73)(52, 84)(53, 85)(54, 74)(55, 89)(56, 90)(57, 86)(58, 88)(59, 87)(60, 76)(61, 77)(62, 81)(63, 83)(64, 82)(65, 79)(66, 80)(67, 96)(68, 95)(69, 94)(70, 93)(71, 92)(72, 91)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.142
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 36
	degree seq :: [ 24^4 ]

E5.146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 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, (Y3^-1 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 12, 36)(5, 29, 14, 38)(6, 30, 15, 39)(7, 31, 18, 42)(8, 32, 20, 44)(10, 34, 21, 45)(11, 35, 22, 46)(13, 37, 19, 43)(16, 40, 23, 47)(17, 41, 24, 48)(49, 73, 51, 75)(50, 74, 54, 78)(52, 76, 59, 83)(53, 77, 58, 82)(55, 79, 65, 89)(56, 80, 64, 88)(57, 81, 67, 91)(60, 84, 69, 93)(61, 85, 63, 87)(62, 86, 70, 94)(66, 90, 71, 95)(68, 92, 72, 96)
	L = (1, 52)(2, 55)(3, 58)(4, 61)(5, 49)(6, 64)(7, 67)(8, 50)(9, 65)(10, 63)(11, 51)(12, 71)(13, 53)(14, 72)(15, 59)(16, 57)(17, 54)(18, 69)(19, 56)(20, 70)(21, 68)(22, 66)(23, 62)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.149
Graph:: simple bipartite
	v = 24 e = 48 f = 16
	degree seq :: [ 4^24 ]

E5.147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 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, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y3^-2 * Y1 * Y3^2 * Y1, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 12, 36)(5, 29, 14, 38)(6, 30, 15, 39)(7, 31, 18, 42)(8, 32, 20, 44)(10, 34, 21, 45)(11, 35, 22, 46)(13, 37, 19, 43)(16, 40, 24, 48)(17, 41, 23, 47)(49, 73, 51, 75)(50, 74, 54, 78)(52, 76, 59, 83)(53, 77, 58, 82)(55, 79, 65, 89)(56, 80, 64, 88)(57, 81, 67, 91)(60, 84, 69, 93)(61, 85, 63, 87)(62, 86, 70, 94)(66, 90, 72, 96)(68, 92, 71, 95)
	L = (1, 52)(2, 55)(3, 58)(4, 61)(5, 49)(6, 64)(7, 67)(8, 50)(9, 65)(10, 63)(11, 51)(12, 71)(13, 53)(14, 72)(15, 59)(16, 57)(17, 54)(18, 70)(19, 56)(20, 69)(21, 66)(22, 68)(23, 62)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.148
Graph:: simple bipartite
	v = 24 e = 48 f = 16
	degree seq :: [ 4^24 ]

E5.148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 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, Y3^3, Y1^2 * Y3^-1, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 8, 32, 6, 30, 5, 29)(3, 27, 9, 33, 10, 34, 18, 42, 12, 36, 11, 35)(7, 31, 14, 38, 13, 37, 20, 44, 16, 40, 15, 39)(17, 41, 21, 45, 19, 43, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 60, 84)(53, 77, 61, 85)(54, 78, 58, 82)(56, 80, 64, 88)(57, 81, 65, 89)(59, 83, 67, 91)(62, 86, 69, 93)(63, 87, 70, 94)(66, 90, 72, 96)(68, 92, 71, 95)
	L = (1, 52)(2, 56)(3, 58)(4, 54)(5, 50)(6, 49)(7, 61)(8, 53)(9, 66)(10, 60)(11, 57)(12, 51)(13, 64)(14, 68)(15, 62)(16, 55)(17, 67)(18, 59)(19, 72)(20, 63)(21, 70)(22, 71)(23, 69)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E5.147
Graph:: bipartite
	v = 16 e = 48 f = 24
	degree seq :: [ 4^12, 12^4 ]

E5.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 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, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y3^4, Y1 * Y3^-1 * Y1^-2 * Y2, Y1^2 * Y2 * Y3 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26, 7, 31, 12, 36, 19, 43, 5, 29)(3, 27, 11, 35, 10, 34, 4, 28, 15, 39, 13, 37)(6, 30, 18, 42, 8, 32, 20, 44, 17, 41, 9, 33)(14, 38, 21, 45, 23, 47, 16, 40, 22, 46, 24, 48)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 62, 86)(53, 77, 65, 89)(54, 78, 60, 84)(55, 79, 63, 87)(57, 81, 69, 93)(58, 82, 67, 91)(59, 83, 71, 95)(61, 85, 70, 94)(64, 88, 68, 92)(66, 90, 72, 96)
	L = (1, 52)(2, 57)(3, 60)(4, 64)(5, 66)(6, 49)(7, 59)(8, 67)(9, 70)(10, 50)(11, 72)(12, 68)(13, 69)(14, 51)(15, 53)(16, 54)(17, 55)(18, 71)(19, 61)(20, 62)(21, 56)(22, 58)(23, 63)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E5.146
Graph:: simple bipartite
	v = 16 e = 48 f = 24
	degree seq :: [ 4^12, 12^4 ]

E5.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = C2 x C2 x C2 x S3 (small group id <48, 51>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 5, 29)(4, 28, 8, 32)(6, 30, 10, 34)(7, 31, 11, 35)(9, 33, 13, 37)(12, 36, 16, 40)(14, 38, 18, 42)(15, 39, 19, 43)(17, 41, 21, 45)(20, 44, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75)(50, 74, 53, 77)(52, 76, 55, 79)(54, 78, 57, 81)(56, 80, 59, 83)(58, 82, 61, 85)(60, 84, 63, 87)(62, 86, 65, 89)(64, 88, 67, 91)(66, 90, 69, 93)(68, 92, 71, 95)(70, 94, 72, 96)
	L = (1, 52)(2, 54)(3, 55)(4, 49)(5, 57)(6, 50)(7, 51)(8, 60)(9, 53)(10, 62)(11, 63)(12, 56)(13, 65)(14, 58)(15, 59)(16, 68)(17, 61)(18, 70)(19, 71)(20, 64)(21, 72)(22, 66)(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) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.151
Graph:: simple bipartite
	v = 24 e = 48 f = 16
	degree seq :: [ 4^24 ]

E5.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = C2 x C2 x C2 x S3 (small group id <48, 51>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1^-1)^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, 20, 44, 14, 38, 7, 31)(4, 28, 11, 35, 19, 43, 21, 45, 15, 39, 8, 32)(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, 57, 81)(54, 78, 62, 86)(56, 80, 64, 88)(59, 83, 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, 59)(6, 63)(7, 64)(8, 50)(9, 66)(10, 51)(11, 53)(12, 67)(13, 69)(14, 70)(15, 54)(16, 55)(17, 71)(18, 57)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E5.150
Graph:: simple bipartite
	v = 16 e = 48 f = 24
	degree seq :: [ 4^12, 12^4 ]

E5.152 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ F^2, T2 * T1 * T2 * T1^-1, (F * T2)^2, (F * T1)^2, T1^4, T2^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 12, 5)(2, 7, 15, 22, 16, 8)(4, 11, 19, 23, 18, 10)(6, 13, 20, 24, 21, 14)(25, 26, 30, 28)(27, 32, 37, 34)(29, 31, 38, 35)(33, 40, 44, 42)(36, 39, 45, 43)(41, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E5.153
Transitivity :: ET+
Graph:: simple bipartite
	v = 10 e = 24 f = 6
	degree seq :: [ 4^6, 6^4 ]

E5.153 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, T2^-2 * T1^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1)^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 6, 30, 5, 29)(2, 26, 7, 31, 4, 28, 8, 32)(9, 33, 13, 37, 10, 34, 14, 38)(11, 35, 15, 39, 12, 36, 16, 40)(17, 41, 21, 45, 18, 42, 22, 46)(19, 43, 23, 47, 20, 44, 24, 48)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 34)(6, 28)(7, 35)(8, 36)(9, 29)(10, 27)(11, 32)(12, 31)(13, 41)(14, 42)(15, 43)(16, 44)(17, 38)(18, 37)(19, 40)(20, 39)(21, 47)(22, 48)(23, 46)(24, 45)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.152
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 24 f = 10
	degree seq :: [ 8^6 ]

E5.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y2^6, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 8, 32, 13, 37, 10, 34)(5, 29, 7, 31, 14, 38, 11, 35)(9, 33, 16, 40, 20, 44, 18, 42)(12, 36, 15, 39, 21, 45, 19, 43)(17, 41, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 57, 81, 65, 89, 60, 84, 53, 77)(50, 74, 55, 79, 63, 87, 70, 94, 64, 88, 56, 80)(52, 76, 59, 83, 67, 91, 71, 95, 66, 90, 58, 82)(54, 78, 61, 85, 68, 92, 72, 96, 69, 93, 62, 86)
	L = (1, 51)(2, 55)(3, 57)(4, 59)(5, 49)(6, 61)(7, 63)(8, 50)(9, 65)(10, 52)(11, 67)(12, 53)(13, 68)(14, 54)(15, 70)(16, 56)(17, 60)(18, 58)(19, 71)(20, 72)(21, 62)(22, 64)(23, 66)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E5.155
Graph:: bipartite
	v = 10 e = 48 f = 30
	degree seq :: [ 8^6, 12^4 ]

E5.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-4 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
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, 52, 76)(51, 75, 56, 80, 61, 85, 58, 82)(53, 77, 55, 79, 62, 86, 59, 83)(57, 81, 64, 88, 68, 92, 66, 90)(60, 84, 63, 87, 69, 93, 67, 91)(65, 89, 70, 94, 72, 96, 71, 95)
	L = (1, 51)(2, 55)(3, 57)(4, 59)(5, 49)(6, 61)(7, 63)(8, 50)(9, 65)(10, 52)(11, 67)(12, 53)(13, 68)(14, 54)(15, 70)(16, 56)(17, 60)(18, 58)(19, 71)(20, 72)(21, 62)(22, 64)(23, 66)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.154
Graph:: simple bipartite
	v = 30 e = 48 f = 10
	degree seq :: [ 2^24, 8^6 ]

E5.156 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-2)^2, T2^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 20, 13, 5)(2, 6, 15, 23, 16, 7)(4, 10, 21, 24, 19, 11)(8, 17, 12, 22, 14, 18)(25, 26, 28)(27, 32, 31)(29, 34, 36)(30, 38, 35)(33, 43, 42)(37, 46, 39)(40, 41, 45)(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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E5.157
Transitivity :: ET+
Graph:: simple bipartite
	v = 12 e = 24 f = 4
	degree seq :: [ 3^8, 6^4 ]

E5.157 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-2)^2, T2^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 20, 44, 13, 37, 5, 29)(2, 26, 6, 30, 15, 39, 23, 47, 16, 40, 7, 31)(4, 28, 10, 34, 21, 45, 24, 48, 19, 43, 11, 35)(8, 32, 17, 41, 12, 36, 22, 46, 14, 38, 18, 42)
	L = (1, 26)(2, 28)(3, 32)(4, 25)(5, 34)(6, 38)(7, 27)(8, 31)(9, 43)(10, 36)(11, 30)(12, 29)(13, 46)(14, 35)(15, 37)(16, 41)(17, 45)(18, 33)(19, 42)(20, 47)(21, 40)(22, 39)(23, 48)(24, 44)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.156
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 24 f = 12
	degree seq :: [ 12^4 ]

E5.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3, Y1^3, Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y3 * Y2^-2 * Y1^-1 * Y2^-2 ]
Map::
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 7, 31)(5, 29, 10, 34, 12, 36)(6, 30, 14, 38, 11, 35)(9, 33, 19, 43, 18, 42)(13, 37, 22, 46, 15, 39)(16, 40, 17, 41, 21, 45)(20, 44, 23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 68, 92, 61, 85, 53, 77)(50, 74, 54, 78, 63, 87, 71, 95, 64, 88, 55, 79)(52, 76, 58, 82, 69, 93, 72, 96, 67, 91, 59, 83)(56, 80, 65, 89, 60, 84, 70, 94, 62, 86, 66, 90)
	L = (1, 52)(2, 49)(3, 55)(4, 50)(5, 60)(6, 59)(7, 56)(8, 51)(9, 66)(10, 53)(11, 62)(12, 58)(13, 63)(14, 54)(15, 70)(16, 69)(17, 64)(18, 67)(19, 57)(20, 72)(21, 65)(22, 61)(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, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.159
Graph:: bipartite
	v = 12 e = 48 f = 28
	degree seq :: [ 6^8, 12^4 ]

E5.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-2)^2, Y1^6 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 9, 33, 19, 43, 23, 47, 18, 42, 8, 32)(5, 29, 10, 34, 21, 45, 24, 48, 15, 39, 13, 37)(7, 31, 17, 41, 12, 36, 22, 46, 20, 44, 16, 40)(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, 58)(5, 49)(6, 63)(7, 56)(8, 50)(9, 68)(10, 60)(11, 70)(12, 52)(13, 57)(14, 71)(15, 64)(16, 54)(17, 69)(18, 65)(19, 59)(20, 61)(21, 66)(22, 67)(23, 72)(24, 62)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.158
Graph:: simple bipartite
	v = 28 e = 48 f = 12
	degree seq :: [ 2^24, 12^4 ]

E5.160 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1, T1^12 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 24, 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, 24)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 12 f = 2
	degree seq :: [ 12^2 ]

E5.161 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^12 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 24, 22, 18, 14, 10, 6)(25, 26)(27, 29)(28, 30)(31, 33)(32, 34)(35, 37)(36, 38)(39, 41)(40, 42)(43, 45)(44, 46)(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) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E5.162
Transitivity :: ET+
Graph:: simple bipartite
	v = 14 e = 24 f = 2
	degree seq :: [ 2^12, 12^2 ]

E5.162 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^12 ]
Map::
	R = (1, 25, 3, 27, 7, 31, 11, 35, 15, 39, 19, 43, 23, 47, 20, 44, 16, 40, 12, 36, 8, 32, 4, 28)(2, 26, 5, 29, 9, 33, 13, 37, 17, 41, 21, 45, 24, 48, 22, 46, 18, 42, 14, 38, 10, 34, 6, 30)
	L = (1, 26)(2, 25)(3, 29)(4, 30)(5, 27)(6, 28)(7, 33)(8, 34)(9, 31)(10, 32)(11, 37)(12, 38)(13, 35)(14, 36)(15, 41)(16, 42)(17, 39)(18, 40)(19, 45)(20, 46)(21, 43)(22, 44)(23, 48)(24, 47)
	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 E5.161
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 14
	degree seq :: [ 24^2 ]

E5.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26)(3, 27, 5, 29)(4, 28, 6, 30)(7, 31, 9, 33)(8, 32, 10, 34)(11, 35, 13, 37)(12, 36, 14, 38)(15, 39, 17, 41)(16, 40, 18, 42)(19, 43, 21, 45)(20, 44, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 55, 79, 59, 83, 63, 87, 67, 91, 71, 95, 68, 92, 64, 88, 60, 84, 56, 80, 52, 76)(50, 74, 53, 77, 57, 81, 61, 85, 65, 89, 69, 93, 72, 96, 70, 94, 66, 90, 62, 86, 58, 82, 54, 78)
	L = (1, 50)(2, 49)(3, 53)(4, 54)(5, 51)(6, 52)(7, 57)(8, 58)(9, 55)(10, 56)(11, 61)(12, 62)(13, 59)(14, 60)(15, 65)(16, 66)(17, 63)(18, 64)(19, 69)(20, 70)(21, 67)(22, 68)(23, 72)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E5.164
Graph:: bipartite
	v = 14 e = 48 f = 26
	degree seq :: [ 4^12, 24^2 ]

E5.164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-12, Y1^12 ]
Map::
	R = (1, 25, 2, 26, 5, 29, 9, 33, 13, 37, 17, 41, 21, 45, 20, 44, 16, 40, 12, 36, 8, 32, 4, 28)(3, 27, 6, 30, 10, 34, 14, 38, 18, 42, 22, 46, 24, 48, 23, 47, 19, 43, 15, 39, 11, 35, 7, 31)(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, 54)(3, 49)(4, 55)(5, 58)(6, 50)(7, 52)(8, 59)(9, 62)(10, 53)(11, 56)(12, 63)(13, 66)(14, 57)(15, 60)(16, 67)(17, 70)(18, 61)(19, 64)(20, 71)(21, 72)(22, 65)(23, 68)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E5.163
Graph:: simple bipartite
	v = 26 e = 48 f = 14
	degree seq :: [ 2^24, 24^2 ]

E5.165 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 15})
Quotient :: regular
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^4 * T2 * T1^-1 * T2, (T1^-1 * T2 * T1^-2)^2, (T1^-1 * T2)^6 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 16, 25, 29, 28, 26, 30, 27, 17, 22, 10, 4)(3, 7, 15, 14, 6, 13, 24, 21, 12, 23, 20, 9, 19, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 19)(13, 25)(14, 22)(15, 26)(18, 28)(20, 27)(23, 29)(24, 30)
	local type(s) :: { ( 6^15 ) }
Outer automorphisms :: reflexible
Dual of E5.166
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 15 f = 5
	degree seq :: [ 15^2 ]

E5.166 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 15})
Quotient :: regular
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, T2 * T1^-1 * 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)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 30)(24, 28)(25, 29)
	local type(s) :: { ( 15^6 ) }
Outer automorphisms :: reflexible
Dual of E5.165
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 5 e = 15 f = 2
	degree seq :: [ 6^5 ]

E5.167 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 15})
Quotient :: edge
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * 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, 29, 26, 27, 25, 30)(31, 32)(33, 37)(34, 39)(35, 41)(36, 43)(38, 42)(40, 44)(45, 53)(46, 55)(47, 54)(48, 56)(49, 57)(50, 59)(51, 58)(52, 60)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30, 30 ), ( 30^6 ) }
Outer automorphisms :: reflexible
Dual of E5.171
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 30 f = 2
	degree seq :: [ 2^15, 6^5 ]

E5.168 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 15})
Quotient :: edge
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^2, T1^2 * T2^-1 * T1 * T2^-1 * T1, T2 * T1^3 * T2 * T1^-1, T1^6, T2 * T1^2 * T2^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 20, 13, 21, 30, 29, 18, 6, 17, 28, 15, 5)(2, 7, 19, 23, 9, 4, 12, 26, 24, 11, 16, 14, 27, 22, 8)(31, 32, 36, 46, 43, 34)(33, 39, 47, 38, 51, 41)(35, 44, 48, 42, 50, 37)(40, 54, 58, 53, 60, 52)(45, 56, 59, 49, 55, 57)
	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) :: { ( 4^6 ), ( 4^15 ) }
Outer automorphisms :: reflexible
Dual of E5.172
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 30 f = 15
	degree seq :: [ 6^5, 15^2 ]

E5.169 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 15})
Quotient :: edge
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4 * T2 * T1^-1 * T2, (T1^-1 * T2 * T1^-2)^2, (T2 * T1^-1)^6 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 19)(13, 25)(14, 22)(15, 26)(18, 28)(20, 27)(23, 29)(24, 30)(31, 32, 35, 41, 46, 55, 59, 58, 56, 60, 57, 47, 52, 40, 34)(33, 37, 45, 44, 36, 43, 54, 51, 42, 53, 50, 39, 49, 48, 38)
	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, 12 ), ( 12^15 ) }
Outer automorphisms :: reflexible
Dual of E5.170
Transitivity :: ET+
Graph:: simple bipartite
	v = 17 e = 30 f = 5
	degree seq :: [ 2^15, 15^2 ]

E5.170 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 15})
Quotient :: loop
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 ]
Map::
	R = (1, 31, 3, 33, 8, 38, 17, 47, 10, 40, 4, 34)(2, 32, 5, 35, 12, 42, 21, 51, 14, 44, 6, 36)(7, 37, 15, 45, 24, 54, 18, 48, 9, 39, 16, 46)(11, 41, 19, 49, 28, 58, 22, 52, 13, 43, 20, 50)(23, 53, 29, 59, 26, 56, 27, 57, 25, 55, 30, 60)
	L = (1, 32)(2, 31)(3, 37)(4, 39)(5, 41)(6, 43)(7, 33)(8, 42)(9, 34)(10, 44)(11, 35)(12, 38)(13, 36)(14, 40)(15, 53)(16, 55)(17, 54)(18, 56)(19, 57)(20, 59)(21, 58)(22, 60)(23, 45)(24, 47)(25, 46)(26, 48)(27, 49)(28, 51)(29, 50)(30, 52)
	local type(s) :: { ( 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15 ) }
Outer automorphisms :: reflexible
Dual of E5.169
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 30 f = 17
	degree seq :: [ 12^5 ]

E5.171 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 15})
Quotient :: loop
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^2, T1^2 * T2^-1 * T1 * T2^-1 * T1, T2 * T1^3 * T2 * T1^-1, T1^6, T2 * T1^2 * T2^4 ]
Map::
	R = (1, 31, 3, 33, 10, 40, 25, 55, 20, 50, 13, 43, 21, 51, 30, 60, 29, 59, 18, 48, 6, 36, 17, 47, 28, 58, 15, 45, 5, 35)(2, 32, 7, 37, 19, 49, 23, 53, 9, 39, 4, 34, 12, 42, 26, 56, 24, 54, 11, 41, 16, 46, 14, 44, 27, 57, 22, 52, 8, 38)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 44)(6, 46)(7, 35)(8, 51)(9, 47)(10, 54)(11, 33)(12, 50)(13, 34)(14, 48)(15, 56)(16, 43)(17, 38)(18, 42)(19, 55)(20, 37)(21, 41)(22, 40)(23, 60)(24, 58)(25, 57)(26, 59)(27, 45)(28, 53)(29, 49)(30, 52)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.167
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 30 f = 20
	degree seq :: [ 30^2 ]

E5.172 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 15})
Quotient :: loop
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4 * T2 * T1^-1 * T2, (T1^-1 * T2 * T1^-2)^2, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 31, 3, 33)(2, 32, 6, 36)(4, 34, 9, 39)(5, 35, 12, 42)(7, 37, 16, 46)(8, 38, 17, 47)(10, 40, 21, 51)(11, 41, 19, 49)(13, 43, 25, 55)(14, 44, 22, 52)(15, 45, 26, 56)(18, 48, 28, 58)(20, 50, 27, 57)(23, 53, 29, 59)(24, 54, 30, 60)
	L = (1, 32)(2, 35)(3, 37)(4, 31)(5, 41)(6, 43)(7, 45)(8, 33)(9, 49)(10, 34)(11, 46)(12, 53)(13, 54)(14, 36)(15, 44)(16, 55)(17, 52)(18, 38)(19, 48)(20, 39)(21, 42)(22, 40)(23, 50)(24, 51)(25, 59)(26, 60)(27, 47)(28, 56)(29, 58)(30, 57)
	local type(s) :: { ( 6, 15, 6, 15 ) }
Outer automorphisms :: reflexible
Dual of E5.168
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 15 e = 30 f = 7
	degree seq :: [ 4^15 ]

E5.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^6, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 9, 39)(5, 35, 11, 41)(6, 36, 13, 43)(8, 38, 12, 42)(10, 40, 14, 44)(15, 45, 23, 53)(16, 46, 25, 55)(17, 47, 24, 54)(18, 48, 26, 56)(19, 49, 27, 57)(20, 50, 29, 59)(21, 51, 28, 58)(22, 52, 30, 60)(61, 91, 63, 93, 68, 98, 77, 107, 70, 100, 64, 94)(62, 92, 65, 95, 72, 102, 81, 111, 74, 104, 66, 96)(67, 97, 75, 105, 84, 114, 78, 108, 69, 99, 76, 106)(71, 101, 79, 109, 88, 118, 82, 112, 73, 103, 80, 110)(83, 113, 89, 119, 86, 116, 87, 117, 85, 115, 90, 120)
	L = (1, 62)(2, 61)(3, 67)(4, 69)(5, 71)(6, 73)(7, 63)(8, 72)(9, 64)(10, 74)(11, 65)(12, 68)(13, 66)(14, 70)(15, 83)(16, 85)(17, 84)(18, 86)(19, 87)(20, 89)(21, 88)(22, 90)(23, 75)(24, 77)(25, 76)(26, 78)(27, 79)(28, 81)(29, 80)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E5.176
Graph:: bipartite
	v = 20 e = 60 f = 32
	degree seq :: [ 4^15, 12^5 ]

E5.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-3, Y1^6, (Y2^2 * Y1^-1)^2, Y2^-2 * Y1^-2 * Y2^-3 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 16, 46, 13, 43, 4, 34)(3, 33, 9, 39, 17, 47, 8, 38, 21, 51, 11, 41)(5, 35, 14, 44, 18, 48, 12, 42, 20, 50, 7, 37)(10, 40, 24, 54, 28, 58, 23, 53, 30, 60, 22, 52)(15, 45, 26, 56, 29, 59, 19, 49, 25, 55, 27, 57)(61, 91, 63, 93, 70, 100, 85, 115, 80, 110, 73, 103, 81, 111, 90, 120, 89, 119, 78, 108, 66, 96, 77, 107, 88, 118, 75, 105, 65, 95)(62, 92, 67, 97, 79, 109, 83, 113, 69, 99, 64, 94, 72, 102, 86, 116, 84, 114, 71, 101, 76, 106, 74, 104, 87, 117, 82, 112, 68, 98)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 77)(7, 79)(8, 62)(9, 64)(10, 85)(11, 76)(12, 86)(13, 81)(14, 87)(15, 65)(16, 74)(17, 88)(18, 66)(19, 83)(20, 73)(21, 90)(22, 68)(23, 69)(24, 71)(25, 80)(26, 84)(27, 82)(28, 75)(29, 78)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 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 E5.175
Graph:: bipartite
	v = 7 e = 60 f = 45
	degree seq :: [ 12^5, 30^2 ]

E5.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y3^4, (Y3^-1 * Y2 * Y3^-2)^2, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^15 ]
Map:: polytopal
	R = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)(61, 91, 62, 92)(63, 93, 67, 97)(64, 94, 69, 99)(65, 95, 71, 101)(66, 96, 73, 103)(68, 98, 77, 107)(70, 100, 81, 111)(72, 102, 84, 114)(74, 104, 86, 116)(75, 105, 83, 113)(76, 106, 82, 112)(78, 108, 79, 109)(80, 110, 85, 115)(87, 117, 90, 120)(88, 118, 89, 119)
	L = (1, 63)(2, 65)(3, 68)(4, 61)(5, 72)(6, 62)(7, 75)(8, 78)(9, 79)(10, 64)(11, 83)(12, 76)(13, 82)(14, 66)(15, 87)(16, 67)(17, 88)(18, 71)(19, 74)(20, 69)(21, 77)(22, 70)(23, 89)(24, 90)(25, 73)(26, 84)(27, 81)(28, 80)(29, 86)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30 ), ( 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E5.174
Graph:: simple bipartite
	v = 45 e = 60 f = 7
	degree seq :: [ 2^30, 4^15 ]

E5.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^4 * Y3 * Y1^-1 * Y3, (Y3 * Y1^-1)^6 ]
Map::
	R = (1, 31, 2, 32, 5, 35, 11, 41, 16, 46, 25, 55, 29, 59, 28, 58, 26, 56, 30, 60, 27, 57, 17, 47, 22, 52, 10, 40, 4, 34)(3, 33, 7, 37, 15, 45, 14, 44, 6, 36, 13, 43, 24, 54, 21, 51, 12, 42, 23, 53, 20, 50, 9, 39, 19, 49, 18, 48, 8, 38)(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, 66)(3, 61)(4, 69)(5, 72)(6, 62)(7, 76)(8, 77)(9, 64)(10, 81)(11, 79)(12, 65)(13, 85)(14, 82)(15, 86)(16, 67)(17, 68)(18, 88)(19, 71)(20, 87)(21, 70)(22, 74)(23, 89)(24, 90)(25, 73)(26, 75)(27, 80)(28, 78)(29, 83)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E5.173
Graph:: simple bipartite
	v = 32 e = 60 f = 20
	degree seq :: [ 2^30, 30^2 ]

E5.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^4 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2^-2)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 9, 39)(5, 35, 11, 41)(6, 36, 13, 43)(8, 38, 17, 47)(10, 40, 21, 51)(12, 42, 24, 54)(14, 44, 26, 56)(15, 45, 23, 53)(16, 46, 22, 52)(18, 48, 19, 49)(20, 50, 25, 55)(27, 57, 30, 60)(28, 58, 29, 59)(61, 91, 63, 93, 68, 98, 78, 108, 71, 101, 83, 113, 89, 119, 86, 116, 84, 114, 90, 120, 85, 115, 73, 103, 82, 112, 70, 100, 64, 94)(62, 92, 65, 95, 72, 102, 76, 106, 67, 97, 75, 105, 87, 117, 81, 111, 77, 107, 88, 118, 80, 110, 69, 99, 79, 109, 74, 104, 66, 96)
	L = (1, 62)(2, 61)(3, 67)(4, 69)(5, 71)(6, 73)(7, 63)(8, 77)(9, 64)(10, 81)(11, 65)(12, 84)(13, 66)(14, 86)(15, 83)(16, 82)(17, 68)(18, 79)(19, 78)(20, 85)(21, 70)(22, 76)(23, 75)(24, 72)(25, 80)(26, 74)(27, 90)(28, 89)(29, 88)(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, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.178
Graph:: bipartite
	v = 17 e = 60 f = 35
	degree seq :: [ 4^15, 30^2 ]

E5.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-3, (Y3^2 * Y1^-1)^2, Y1^6, Y3 * Y1^2 * Y3^4, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 16, 46, 13, 43, 4, 34)(3, 33, 9, 39, 17, 47, 8, 38, 21, 51, 11, 41)(5, 35, 14, 44, 18, 48, 12, 42, 20, 50, 7, 37)(10, 40, 24, 54, 28, 58, 23, 53, 30, 60, 22, 52)(15, 45, 26, 56, 29, 59, 19, 49, 25, 55, 27, 57)(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, 70)(4, 72)(5, 61)(6, 77)(7, 79)(8, 62)(9, 64)(10, 85)(11, 76)(12, 86)(13, 81)(14, 87)(15, 65)(16, 74)(17, 88)(18, 66)(19, 83)(20, 73)(21, 90)(22, 68)(23, 69)(24, 71)(25, 80)(26, 84)(27, 82)(28, 75)(29, 78)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E5.177
Graph:: simple bipartite
	v = 35 e = 60 f = 17
	degree seq :: [ 2^30, 12^5 ]

E5.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
Aut   = C2 x ((C2 x C2 x C2 x C2) : C2) (small group id <64, 202>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1 * Y3 * Y1)^2, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 10, 42)(6, 38, 12, 44)(8, 40, 15, 47)(11, 43, 20, 52)(13, 45, 18, 50)(14, 46, 21, 53)(16, 48, 19, 51)(17, 49, 22, 54)(23, 55, 28, 60)(24, 56, 27, 59)(25, 57, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99)(66, 98, 69, 101)(68, 100, 72, 104)(70, 102, 75, 107)(71, 103, 77, 109)(73, 105, 80, 112)(74, 106, 82, 114)(76, 108, 85, 117)(78, 110, 87, 119)(79, 111, 88, 120)(81, 113, 90, 122)(83, 115, 91, 123)(84, 116, 92, 124)(86, 118, 94, 126)(89, 121, 95, 127)(93, 125, 96, 128)
	L = (1, 68)(2, 70)(3, 72)(4, 65)(5, 75)(6, 66)(7, 78)(8, 67)(9, 81)(10, 83)(11, 69)(12, 86)(13, 87)(14, 71)(15, 89)(16, 90)(17, 73)(18, 91)(19, 74)(20, 93)(21, 94)(22, 76)(23, 77)(24, 95)(25, 79)(26, 80)(27, 82)(28, 96)(29, 84)(30, 85)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.181
Graph:: simple bipartite
	v = 32 e = 64 f = 24
	degree seq :: [ 4^32 ]

E5.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 14, 46)(6, 38, 15, 47)(7, 39, 18, 50)(8, 40, 20, 52)(10, 42, 21, 53)(11, 43, 22, 54)(13, 45, 19, 51)(16, 48, 25, 57)(17, 49, 26, 58)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 75, 107)(69, 101, 74, 106)(71, 103, 81, 113)(72, 104, 80, 112)(73, 105, 83, 115)(76, 108, 85, 117)(77, 109, 79, 111)(78, 110, 86, 118)(82, 114, 89, 121)(84, 116, 90, 122)(87, 119, 94, 126)(88, 120, 93, 125)(91, 123, 96, 128)(92, 124, 95, 127)
	L = (1, 68)(2, 71)(3, 74)(4, 77)(5, 65)(6, 80)(7, 83)(8, 66)(9, 81)(10, 79)(11, 67)(12, 87)(13, 69)(14, 88)(15, 75)(16, 73)(17, 70)(18, 91)(19, 72)(20, 92)(21, 93)(22, 94)(23, 78)(24, 76)(25, 95)(26, 96)(27, 84)(28, 82)(29, 86)(30, 85)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.182
Graph:: simple bipartite
	v = 32 e = 64 f = 24
	degree seq :: [ 4^32 ]

E5.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
Aut   = C2 x ((C2 x C2 x C2 x C2) : C2) (small group id <64, 202>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y1 * Y2 * Y1)^2, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 6, 38, 5, 37)(3, 35, 9, 41, 14, 46, 11, 43)(4, 36, 12, 44, 15, 47, 8, 40)(7, 39, 16, 48, 13, 45, 18, 50)(10, 42, 21, 53, 24, 56, 20, 52)(17, 49, 27, 59, 23, 55, 26, 58)(19, 51, 25, 57, 22, 54, 28, 60)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 77, 109)(70, 102, 78, 110)(72, 104, 81, 113)(73, 105, 83, 115)(75, 107, 86, 118)(76, 108, 87, 119)(79, 111, 88, 120)(80, 112, 89, 121)(82, 114, 92, 124)(84, 116, 93, 125)(85, 117, 94, 126)(90, 122, 95, 127)(91, 123, 96, 128)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 76)(6, 79)(7, 81)(8, 66)(9, 84)(10, 67)(11, 85)(12, 69)(13, 87)(14, 88)(15, 70)(16, 90)(17, 71)(18, 91)(19, 93)(20, 73)(21, 75)(22, 94)(23, 77)(24, 78)(25, 95)(26, 80)(27, 82)(28, 96)(29, 83)(30, 86)(31, 89)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.179
Graph:: simple bipartite
	v = 24 e = 64 f = 32
	degree seq :: [ 4^16, 8^8 ]

E5.182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y1^4, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 16, 48, 13, 45)(4, 36, 9, 41, 6, 38, 10, 42)(8, 40, 17, 49, 15, 47, 19, 51)(12, 44, 22, 54, 14, 46, 23, 55)(18, 50, 26, 58, 20, 52, 27, 59)(21, 53, 25, 57, 24, 56, 28, 60)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 78, 110)(69, 101, 79, 111)(70, 102, 76, 108)(71, 103, 80, 112)(73, 105, 84, 116)(74, 106, 82, 114)(75, 107, 85, 117)(77, 109, 88, 120)(81, 113, 89, 121)(83, 115, 92, 124)(86, 118, 94, 126)(87, 119, 93, 125)(90, 122, 96, 128)(91, 123, 95, 127)
	L = (1, 68)(2, 73)(3, 76)(4, 71)(5, 74)(6, 65)(7, 70)(8, 82)(9, 69)(10, 66)(11, 86)(12, 80)(13, 87)(14, 67)(15, 84)(16, 78)(17, 90)(18, 79)(19, 91)(20, 72)(21, 93)(22, 77)(23, 75)(24, 94)(25, 95)(26, 83)(27, 81)(28, 96)(29, 88)(30, 85)(31, 92)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.180
Graph:: simple bipartite
	v = 24 e = 64 f = 32
	degree seq :: [ 4^16, 8^8 ]

E5.183 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3 * Y2)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1, (Y1 * Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 34, 2, 33)(3, 39, 7, 35)(4, 41, 9, 36)(5, 42, 10, 37)(6, 44, 12, 38)(8, 47, 15, 40)(11, 52, 20, 43)(13, 54, 22, 45)(14, 51, 19, 46)(16, 53, 21, 48)(17, 50, 18, 49)(23, 60, 28, 55)(24, 59, 27, 56)(25, 62, 30, 57)(26, 61, 29, 58)(31, 64, 32, 63)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 23)(15, 24)(17, 26)(19, 27)(20, 28)(22, 30)(25, 31)(29, 32)(33, 36)(34, 38)(35, 40)(37, 43)(39, 46)(41, 49)(42, 51)(44, 54)(45, 55)(47, 57)(48, 58)(50, 59)(52, 61)(53, 62)(56, 63)(60, 64)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.184
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 32 f = 8
	degree seq :: [ 4^16 ]

E5.184 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y2^2, Y3^2, R^2, Y1^4, R * Y2 * R * Y3, (Y3 * Y2)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y3 * Y1^-2)^2, (Y1^-1 * Y3 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 34, 2, 38, 6, 37, 5, 33)(3, 41, 9, 48, 16, 43, 11, 35)(4, 44, 12, 49, 17, 45, 13, 36)(7, 50, 18, 46, 14, 52, 20, 39)(8, 53, 21, 47, 15, 54, 22, 40)(10, 57, 25, 60, 28, 51, 19, 42)(23, 63, 31, 58, 26, 61, 29, 55)(24, 62, 30, 59, 27, 64, 32, 56)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 27)(13, 24)(15, 25)(17, 28)(18, 29)(20, 31)(21, 32)(22, 30)(33, 36)(34, 40)(35, 42)(37, 47)(38, 49)(39, 51)(41, 56)(43, 59)(44, 58)(45, 55)(46, 57)(48, 60)(50, 62)(52, 64)(53, 63)(54, 61)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.183
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 16
	degree seq :: [ 8^8 ]

E5.185 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 33, 4, 36)(2, 34, 6, 38)(3, 35, 7, 39)(5, 37, 10, 42)(8, 40, 16, 48)(9, 41, 17, 49)(11, 43, 21, 53)(12, 44, 22, 54)(13, 45, 24, 56)(14, 46, 25, 57)(15, 47, 26, 58)(18, 50, 28, 60)(19, 51, 29, 61)(20, 52, 30, 62)(23, 55, 31, 63)(27, 59, 32, 64)(65, 66)(67, 69)(68, 72)(70, 75)(71, 77)(73, 79)(74, 82)(76, 84)(78, 87)(80, 89)(81, 88)(83, 91)(85, 93)(86, 92)(90, 94)(95, 96)(97, 99)(98, 101)(100, 105)(102, 108)(103, 110)(104, 111)(106, 115)(107, 116)(109, 119)(112, 118)(113, 117)(114, 123)(120, 125)(121, 124)(122, 127)(126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E5.188
Graph:: simple bipartite
	v = 48 e = 64 f = 8
	degree seq :: [ 2^32, 4^16 ]

E5.186 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 33, 4, 36, 13, 45, 5, 37)(2, 34, 7, 39, 20, 52, 8, 40)(3, 35, 9, 41, 23, 55, 10, 42)(6, 38, 16, 48, 28, 60, 17, 49)(11, 43, 24, 56, 14, 46, 25, 57)(12, 44, 26, 58, 15, 47, 27, 59)(18, 50, 29, 61, 21, 53, 30, 62)(19, 51, 31, 63, 22, 54, 32, 64)(65, 66)(67, 70)(68, 75)(69, 78)(71, 82)(72, 85)(73, 86)(74, 83)(76, 81)(77, 84)(79, 80)(87, 92)(88, 94)(89, 93)(90, 96)(91, 95)(97, 99)(98, 102)(100, 108)(101, 111)(103, 115)(104, 118)(105, 117)(106, 114)(107, 113)(109, 119)(110, 112)(116, 124)(120, 127)(121, 128)(122, 125)(123, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E5.187
Graph:: simple bipartite
	v = 40 e = 64 f = 16
	degree seq :: [ 2^32, 8^8 ]

E5.187 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 6, 38, 70, 102)(3, 35, 67, 99, 7, 39, 71, 103)(5, 37, 69, 101, 10, 42, 74, 106)(8, 40, 72, 104, 16, 48, 80, 112)(9, 41, 73, 105, 17, 49, 81, 113)(11, 43, 75, 107, 21, 53, 85, 117)(12, 44, 76, 108, 22, 54, 86, 118)(13, 45, 77, 109, 24, 56, 88, 120)(14, 46, 78, 110, 25, 57, 89, 121)(15, 47, 79, 111, 26, 58, 90, 122)(18, 50, 82, 114, 28, 60, 92, 124)(19, 51, 83, 115, 29, 61, 93, 125)(20, 52, 84, 116, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127)(27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 33)(3, 37)(4, 40)(5, 35)(6, 43)(7, 45)(8, 36)(9, 47)(10, 50)(11, 38)(12, 52)(13, 39)(14, 55)(15, 41)(16, 57)(17, 56)(18, 42)(19, 59)(20, 44)(21, 61)(22, 60)(23, 46)(24, 49)(25, 48)(26, 62)(27, 51)(28, 54)(29, 53)(30, 58)(31, 64)(32, 63)(65, 99)(66, 101)(67, 97)(68, 105)(69, 98)(70, 108)(71, 110)(72, 111)(73, 100)(74, 115)(75, 116)(76, 102)(77, 119)(78, 103)(79, 104)(80, 118)(81, 117)(82, 123)(83, 106)(84, 107)(85, 113)(86, 112)(87, 109)(88, 125)(89, 124)(90, 127)(91, 114)(92, 121)(93, 120)(94, 128)(95, 122)(96, 126)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.186
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 40
	degree seq :: [ 8^16 ]

E5.188 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 23, 55, 87, 119, 10, 42, 74, 106)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(11, 43, 75, 107, 24, 56, 88, 120, 14, 46, 78, 110, 25, 57, 89, 121)(12, 44, 76, 108, 26, 58, 90, 122, 15, 47, 79, 111, 27, 59, 91, 123)(18, 50, 82, 114, 29, 61, 93, 125, 21, 53, 85, 117, 30, 62, 94, 126)(19, 51, 83, 115, 31, 63, 95, 127, 22, 54, 86, 118, 32, 64, 96, 128)
	L = (1, 34)(2, 33)(3, 38)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 54)(10, 51)(11, 36)(12, 49)(13, 52)(14, 37)(15, 48)(16, 47)(17, 44)(18, 39)(19, 42)(20, 45)(21, 40)(22, 41)(23, 60)(24, 62)(25, 61)(26, 64)(27, 63)(28, 55)(29, 57)(30, 56)(31, 59)(32, 58)(65, 99)(66, 102)(67, 97)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 117)(74, 114)(75, 113)(76, 100)(77, 119)(78, 112)(79, 101)(80, 110)(81, 107)(82, 106)(83, 103)(84, 124)(85, 105)(86, 104)(87, 109)(88, 127)(89, 128)(90, 125)(91, 126)(92, 116)(93, 122)(94, 123)(95, 120)(96, 121)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.185
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 48
	degree seq :: [ 16^8 ]

E5.189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 14, 46)(6, 38, 16, 48)(7, 39, 19, 51)(8, 40, 21, 53)(10, 42, 24, 56)(11, 43, 18, 50)(13, 45, 22, 54)(15, 47, 20, 52)(17, 49, 28, 60)(23, 55, 27, 59)(25, 57, 31, 63)(26, 58, 30, 62)(29, 61, 32, 64)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 75, 107)(69, 101, 74, 106)(71, 103, 82, 114)(72, 104, 81, 113)(73, 105, 86, 118)(76, 108, 88, 120)(77, 109, 89, 121)(78, 110, 87, 119)(79, 111, 80, 112)(83, 115, 92, 124)(84, 116, 93, 125)(85, 117, 91, 123)(90, 122, 95, 127)(94, 126, 96, 128)
	L = (1, 68)(2, 71)(3, 74)(4, 77)(5, 65)(6, 81)(7, 84)(8, 66)(9, 87)(10, 80)(11, 67)(12, 90)(13, 83)(14, 86)(15, 69)(16, 91)(17, 73)(18, 70)(19, 94)(20, 76)(21, 79)(22, 72)(23, 95)(24, 93)(25, 75)(26, 78)(27, 96)(28, 89)(29, 82)(30, 85)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.191
Graph:: simple bipartite
	v = 32 e = 64 f = 24
	degree seq :: [ 4^32 ]

E5.190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 8, 40)(6, 38, 13, 45)(10, 42, 18, 50)(11, 43, 19, 51)(12, 44, 16, 48)(14, 46, 22, 54)(15, 47, 23, 55)(17, 49, 25, 57)(20, 52, 28, 60)(21, 53, 29, 61)(24, 56, 32, 64)(26, 58, 31, 63)(27, 59, 30, 62)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 75, 107)(69, 101, 74, 106)(71, 103, 79, 111)(72, 104, 78, 110)(73, 105, 81, 113)(76, 108, 84, 116)(77, 109, 85, 117)(80, 112, 88, 120)(82, 114, 91, 123)(83, 115, 90, 122)(86, 118, 95, 127)(87, 119, 94, 126)(89, 121, 96, 128)(92, 124, 93, 125)
	L = (1, 68)(2, 71)(3, 74)(4, 76)(5, 65)(6, 78)(7, 80)(8, 66)(9, 82)(10, 84)(11, 67)(12, 69)(13, 86)(14, 88)(15, 70)(16, 72)(17, 90)(18, 92)(19, 73)(20, 75)(21, 94)(22, 96)(23, 77)(24, 79)(25, 95)(26, 93)(27, 81)(28, 83)(29, 91)(30, 89)(31, 85)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.192
Graph:: simple bipartite
	v = 32 e = 64 f = 24
	degree seq :: [ 4^32 ]

E5.191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, Y1^4, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 6, 38, 5, 37)(3, 35, 9, 41, 14, 46, 11, 43)(4, 36, 12, 44, 15, 47, 8, 40)(7, 39, 16, 48, 13, 45, 18, 50)(10, 42, 21, 53, 24, 56, 20, 52)(17, 49, 27, 59, 23, 55, 26, 58)(19, 51, 28, 60, 22, 54, 25, 57)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 77, 109)(70, 102, 78, 110)(72, 104, 81, 113)(73, 105, 83, 115)(75, 107, 86, 118)(76, 108, 87, 119)(79, 111, 88, 120)(80, 112, 89, 121)(82, 114, 92, 124)(84, 116, 93, 125)(85, 117, 94, 126)(90, 122, 95, 127)(91, 123, 96, 128)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 76)(6, 79)(7, 81)(8, 66)(9, 84)(10, 67)(11, 85)(12, 69)(13, 87)(14, 88)(15, 70)(16, 90)(17, 71)(18, 91)(19, 93)(20, 73)(21, 75)(22, 94)(23, 77)(24, 78)(25, 95)(26, 80)(27, 82)(28, 96)(29, 83)(30, 86)(31, 89)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.189
Graph:: simple bipartite
	v = 24 e = 64 f = 32
	degree seq :: [ 4^16, 8^8 ]

E5.192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 16, 48, 13, 45)(4, 36, 9, 41, 6, 38, 10, 42)(8, 40, 17, 49, 15, 47, 19, 51)(12, 44, 22, 54, 14, 46, 23, 55)(18, 50, 26, 58, 20, 52, 27, 59)(21, 53, 28, 60, 24, 56, 25, 57)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 78, 110)(69, 101, 79, 111)(70, 102, 76, 108)(71, 103, 80, 112)(73, 105, 84, 116)(74, 106, 82, 114)(75, 107, 85, 117)(77, 109, 88, 120)(81, 113, 89, 121)(83, 115, 92, 124)(86, 118, 94, 126)(87, 119, 93, 125)(90, 122, 96, 128)(91, 123, 95, 127)
	L = (1, 68)(2, 73)(3, 76)(4, 71)(5, 74)(6, 65)(7, 70)(8, 82)(9, 69)(10, 66)(11, 86)(12, 80)(13, 87)(14, 67)(15, 84)(16, 78)(17, 90)(18, 79)(19, 91)(20, 72)(21, 93)(22, 77)(23, 75)(24, 94)(25, 95)(26, 83)(27, 81)(28, 96)(29, 88)(30, 85)(31, 92)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.190
Graph:: simple bipartite
	v = 24 e = 64 f = 32
	degree seq :: [ 4^16, 8^8 ]

E5.193 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1^-2 * T2^-1 * T1^-2, (T2^-2 * T1^-1)^2, (T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 25, 13)(6, 16, 28, 17)(9, 23, 15, 24)(11, 26, 14, 27)(18, 29, 22, 30)(20, 31, 21, 32)(33, 34, 38, 36)(35, 41, 48, 43)(37, 46, 49, 47)(39, 50, 44, 52)(40, 53, 45, 54)(42, 57, 60, 51)(55, 63, 58, 61)(56, 62, 59, 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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.194
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 32 f = 8
	degree seq :: [ 4^16 ]

E5.194 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1^-2 * T2^-1 * T1^-2, (T2^-2 * T1^-1)^2, (T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35, 10, 42, 5, 37)(2, 34, 7, 39, 19, 51, 8, 40)(4, 36, 12, 44, 25, 57, 13, 45)(6, 38, 16, 48, 28, 60, 17, 49)(9, 41, 23, 55, 15, 47, 24, 56)(11, 43, 26, 58, 14, 46, 27, 59)(18, 50, 29, 61, 22, 54, 30, 62)(20, 52, 31, 63, 21, 53, 32, 64)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 50)(8, 53)(9, 48)(10, 57)(11, 35)(12, 52)(13, 54)(14, 49)(15, 37)(16, 43)(17, 47)(18, 44)(19, 42)(20, 39)(21, 45)(22, 40)(23, 63)(24, 62)(25, 60)(26, 61)(27, 64)(28, 51)(29, 55)(30, 59)(31, 58)(32, 56)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.193
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 32 f = 16
	degree seq :: [ 8^8 ]

E5.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2^4, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2)^4 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 16, 48, 15, 47)(7, 39, 18, 50, 13, 45, 20, 52)(8, 40, 21, 53, 12, 44, 22, 54)(10, 42, 19, 51, 28, 60, 25, 57)(23, 55, 30, 62, 27, 59, 31, 63)(24, 56, 29, 61, 26, 58, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 71, 103, 83, 115, 72, 104)(68, 100, 76, 108, 89, 121, 77, 109)(70, 102, 80, 112, 92, 124, 81, 113)(73, 105, 87, 119, 78, 110, 88, 120)(75, 107, 90, 122, 79, 111, 91, 123)(82, 114, 93, 125, 85, 117, 94, 126)(84, 116, 95, 127, 86, 118, 96, 128)
	L = (1, 68)(2, 65)(3, 75)(4, 70)(5, 79)(6, 66)(7, 84)(8, 86)(9, 67)(10, 89)(11, 81)(12, 85)(13, 82)(14, 69)(15, 80)(16, 78)(17, 73)(18, 71)(19, 74)(20, 77)(21, 72)(22, 76)(23, 95)(24, 96)(25, 92)(26, 93)(27, 94)(28, 83)(29, 88)(30, 87)(31, 91)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.196
Graph:: bipartite
	v = 16 e = 64 f = 40
	degree seq :: [ 8^16 ]

E5.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y2^-1 * Y3^2 * Y2 * Y3^-2, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal
	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, 73, 105, 81, 113, 75, 107)(69, 101, 78, 110, 80, 112, 79, 111)(71, 103, 82, 114, 77, 109, 84, 116)(72, 104, 85, 117, 76, 108, 86, 118)(74, 106, 83, 115, 92, 124, 89, 121)(87, 119, 94, 126, 91, 123, 95, 127)(88, 120, 93, 125, 90, 122, 96, 128)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 80)(7, 83)(8, 66)(9, 87)(10, 69)(11, 90)(12, 89)(13, 68)(14, 88)(15, 91)(16, 92)(17, 70)(18, 93)(19, 72)(20, 95)(21, 94)(22, 96)(23, 78)(24, 73)(25, 77)(26, 79)(27, 75)(28, 81)(29, 85)(30, 82)(31, 86)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E5.195
Graph:: simple bipartite
	v = 40 e = 64 f = 16
	degree seq :: [ 2^32, 8^8 ]

E5.197 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1 * T2 * T1^-2 * T2 * T1, (T2 * T1^-1 * T2 * T1)^2, T1^8 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 12, 22, 28, 26, 17, 8)(6, 13, 21, 29, 27, 18, 9, 14)(15, 23, 30, 32, 31, 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, 28)(22, 30)(26, 31)(29, 32)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 16 f = 4
	degree seq :: [ 8^4 ]

E5.198 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2^-1 * T1 * T2 * T1)^2, T2^8 ]
Map::
	R = (1, 3, 8, 17, 26, 19, 10, 4)(2, 5, 12, 22, 29, 24, 14, 6)(7, 15, 25, 31, 27, 18, 9, 16)(11, 20, 28, 32, 30, 23, 13, 21)(33, 34)(35, 39)(36, 41)(37, 43)(38, 45)(40, 44)(42, 46)(47, 52)(48, 53)(49, 57)(50, 55)(51, 59)(54, 60)(56, 62)(58, 61)(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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E5.199
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 32 f = 4
	degree seq :: [ 2^16, 8^4 ]

E5.199 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2^-1 * T1 * T2 * T1)^2, T2^8 ]
Map::
	R = (1, 33, 3, 35, 8, 40, 17, 49, 26, 58, 19, 51, 10, 42, 4, 36)(2, 34, 5, 37, 12, 44, 22, 54, 29, 61, 24, 56, 14, 46, 6, 38)(7, 39, 15, 47, 25, 57, 31, 63, 27, 59, 18, 50, 9, 41, 16, 48)(11, 43, 20, 52, 28, 60, 32, 64, 30, 62, 23, 55, 13, 45, 21, 53)
	L = (1, 34)(2, 33)(3, 39)(4, 41)(5, 43)(6, 45)(7, 35)(8, 44)(9, 36)(10, 46)(11, 37)(12, 40)(13, 38)(14, 42)(15, 52)(16, 53)(17, 57)(18, 55)(19, 59)(20, 47)(21, 48)(22, 60)(23, 50)(24, 62)(25, 49)(26, 61)(27, 51)(28, 54)(29, 58)(30, 56)(31, 64)(32, 63)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.198
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 20
	degree seq :: [ 16^4 ]

E5.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, 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^-1 * Y1 * Y2 * Y1)^2, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 11, 43)(6, 38, 13, 45)(8, 40, 12, 44)(10, 42, 14, 46)(15, 47, 20, 52)(16, 48, 21, 53)(17, 49, 25, 57)(18, 50, 23, 55)(19, 51, 27, 59)(22, 54, 28, 60)(24, 56, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 72, 104, 81, 113, 90, 122, 83, 115, 74, 106, 68, 100)(66, 98, 69, 101, 76, 108, 86, 118, 93, 125, 88, 120, 78, 110, 70, 102)(71, 103, 79, 111, 89, 121, 95, 127, 91, 123, 82, 114, 73, 105, 80, 112)(75, 107, 84, 116, 92, 124, 96, 128, 94, 126, 87, 119, 77, 109, 85, 117)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 76)(9, 68)(10, 78)(11, 69)(12, 72)(13, 70)(14, 74)(15, 84)(16, 85)(17, 89)(18, 87)(19, 91)(20, 79)(21, 80)(22, 92)(23, 82)(24, 94)(25, 81)(26, 93)(27, 83)(28, 86)(29, 90)(30, 88)(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, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.201
Graph:: bipartite
	v = 20 e = 64 f = 36
	degree seq :: [ 4^16, 16^4 ]

E5.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^8, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 33, 2, 34, 5, 37, 11, 43, 20, 52, 19, 51, 10, 42, 4, 36)(3, 35, 7, 39, 12, 44, 22, 54, 28, 60, 26, 58, 17, 49, 8, 40)(6, 38, 13, 45, 21, 53, 29, 61, 27, 59, 18, 50, 9, 41, 14, 46)(15, 47, 23, 55, 30, 62, 32, 64, 31, 63, 25, 57, 16, 48, 24, 56)(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, 73)(5, 76)(6, 66)(7, 79)(8, 80)(9, 68)(10, 81)(11, 85)(12, 69)(13, 87)(14, 88)(15, 71)(16, 72)(17, 74)(18, 89)(19, 91)(20, 92)(21, 75)(22, 94)(23, 77)(24, 78)(25, 82)(26, 95)(27, 83)(28, 84)(29, 96)(30, 86)(31, 90)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.200
Graph:: simple bipartite
	v = 36 e = 64 f = 20
	degree seq :: [ 2^32, 16^4 ]

E5.202 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2 * T1^-1)^2, T1^8, (T2 * T1 * T2 * T1^-1)^2, (T1 * T2)^8 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 15, 25, 29, 22, 12, 8)(6, 13, 9, 18, 28, 30, 21, 14)(16, 26, 17, 27, 31, 23, 32, 24)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 27)(19, 28)(20, 29)(22, 31)(25, 32)(26, 30)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 16 f = 4
	degree seq :: [ 8^4 ]

E5.203 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, (T2 * T1 * T2^-1 * T1)^2, T2^8, (T2 * T1)^8 ]
Map::
	R = (1, 3, 8, 17, 27, 19, 10, 4)(2, 5, 12, 22, 31, 24, 14, 6)(7, 15, 9, 18, 28, 29, 26, 16)(11, 20, 13, 23, 32, 25, 30, 21)(33, 34)(35, 39)(36, 41)(37, 43)(38, 45)(40, 46)(42, 44)(47, 57)(48, 53)(49, 58)(50, 55)(51, 60)(52, 61)(54, 62)(56, 64)(59, 63)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E5.204
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 32 f = 4
	degree seq :: [ 2^16, 8^4 ]

E5.204 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, (T2 * T1 * T2^-1 * T1)^2, T2^8, (T2 * T1)^8 ]
Map::
	R = (1, 33, 3, 35, 8, 40, 17, 49, 27, 59, 19, 51, 10, 42, 4, 36)(2, 34, 5, 37, 12, 44, 22, 54, 31, 63, 24, 56, 14, 46, 6, 38)(7, 39, 15, 47, 9, 41, 18, 50, 28, 60, 29, 61, 26, 58, 16, 48)(11, 43, 20, 52, 13, 45, 23, 55, 32, 64, 25, 57, 30, 62, 21, 53)
	L = (1, 34)(2, 33)(3, 39)(4, 41)(5, 43)(6, 45)(7, 35)(8, 46)(9, 36)(10, 44)(11, 37)(12, 42)(13, 38)(14, 40)(15, 57)(16, 53)(17, 58)(18, 55)(19, 60)(20, 61)(21, 48)(22, 62)(23, 50)(24, 64)(25, 47)(26, 49)(27, 63)(28, 51)(29, 52)(30, 54)(31, 59)(32, 56)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.203
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 20
	degree seq :: [ 16^4 ]

E5.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^8, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 11, 43)(6, 38, 13, 45)(8, 40, 14, 46)(10, 42, 12, 44)(15, 47, 25, 57)(16, 48, 21, 53)(17, 49, 26, 58)(18, 50, 23, 55)(19, 51, 28, 60)(20, 52, 29, 61)(22, 54, 30, 62)(24, 56, 32, 64)(27, 59, 31, 63)(65, 97, 67, 99, 72, 104, 81, 113, 91, 123, 83, 115, 74, 106, 68, 100)(66, 98, 69, 101, 76, 108, 86, 118, 95, 127, 88, 120, 78, 110, 70, 102)(71, 103, 79, 111, 73, 105, 82, 114, 92, 124, 93, 125, 90, 122, 80, 112)(75, 107, 84, 116, 77, 109, 87, 119, 96, 128, 89, 121, 94, 126, 85, 117)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 78)(9, 68)(10, 76)(11, 69)(12, 74)(13, 70)(14, 72)(15, 89)(16, 85)(17, 90)(18, 87)(19, 92)(20, 93)(21, 80)(22, 94)(23, 82)(24, 96)(25, 79)(26, 81)(27, 95)(28, 83)(29, 84)(30, 86)(31, 91)(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, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.206
Graph:: bipartite
	v = 20 e = 64 f = 36
	degree seq :: [ 4^16, 16^4 ]

E5.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y1^8, (Y3^-1, Y1, Y3^-1), (Y3^-1 * Y1)^8 ]
Map::
	R = (1, 33, 2, 34, 5, 37, 11, 43, 20, 52, 19, 51, 10, 42, 4, 36)(3, 35, 7, 39, 15, 47, 25, 57, 29, 61, 22, 54, 12, 44, 8, 40)(6, 38, 13, 45, 9, 41, 18, 50, 28, 60, 30, 62, 21, 53, 14, 46)(16, 48, 26, 58, 17, 49, 27, 59, 31, 63, 23, 55, 32, 64, 24, 56)(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, 73)(5, 76)(6, 66)(7, 80)(8, 81)(9, 68)(10, 79)(11, 85)(12, 69)(13, 87)(14, 88)(15, 74)(16, 71)(17, 72)(18, 91)(19, 92)(20, 93)(21, 75)(22, 95)(23, 77)(24, 78)(25, 96)(26, 94)(27, 82)(28, 83)(29, 84)(30, 90)(31, 86)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.205
Graph:: simple bipartite
	v = 36 e = 64 f = 20
	degree seq :: [ 2^32, 16^4 ]

E5.207 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 20})
Quotient :: regular
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^2 * T2)^2, (T1 * T2)^4, T1^-2 * T2 * T1^3 * T2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 34, 26, 16, 23, 17, 24, 32, 40, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 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, 37)(36, 39)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E5.208
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 20 f = 10
	degree seq :: [ 20^2 ]

E5.208 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 20})
Quotient :: regular
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-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, 39, 38, 40)
	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)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E5.207
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 20 f = 2
	degree seq :: [ 4^10 ]

E5.209 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 9, 14)(10, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)(33, 37, 34, 38)(35, 39, 36, 40)(41, 42)(43, 47)(44, 49)(45, 50)(46, 52)(48, 51)(53, 57)(54, 58)(55, 59)(56, 60)(61, 65)(62, 66)(63, 67)(64, 68)(69, 73)(70, 74)(71, 75)(72, 76)(77, 79)(78, 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 ), ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E5.213
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 40 f = 2
	degree seq :: [ 2^20, 4^10 ]

E5.210 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^-1 * T2^-10 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 38, 30, 22, 14, 6, 13, 21, 29, 37, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 33, 25, 17, 9, 4, 11, 19, 27, 35, 40, 32, 24, 16, 8)(41, 42, 46, 44)(43, 49, 53, 48)(45, 51, 54, 47)(50, 56, 61, 57)(52, 55, 62, 59)(58, 65, 69, 64)(60, 67, 70, 63)(66, 72, 77, 73)(68, 71, 78, 75)(74, 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) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E5.214
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 40 f = 20
	degree seq :: [ 4^10, 20^2 ]

E5.211 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^2 * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^3 * T2 * T1^-5 ]
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, 37)(36, 39)(41, 42, 45, 51, 60, 69, 77, 74, 66, 56, 63, 57, 64, 72, 80, 76, 68, 59, 50, 44)(43, 47, 55, 65, 73, 78, 71, 61, 54, 46, 53, 49, 58, 67, 75, 79, 70, 62, 52, 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) :: { ( 8, 8 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E5.212
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 40 f = 10
	degree seq :: [ 2^20, 20^2 ]

E5.212 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 41, 3, 43, 8, 48, 4, 44)(2, 42, 5, 45, 11, 51, 6, 46)(7, 47, 13, 53, 9, 49, 14, 54)(10, 50, 15, 55, 12, 52, 16, 56)(17, 57, 21, 61, 18, 58, 22, 62)(19, 59, 23, 63, 20, 60, 24, 64)(25, 65, 29, 69, 26, 66, 30, 70)(27, 67, 31, 71, 28, 68, 32, 72)(33, 73, 37, 77, 34, 74, 38, 78)(35, 75, 39, 79, 36, 76, 40, 80)
	L = (1, 42)(2, 41)(3, 47)(4, 49)(5, 50)(6, 52)(7, 43)(8, 51)(9, 44)(10, 45)(11, 48)(12, 46)(13, 57)(14, 58)(15, 59)(16, 60)(17, 53)(18, 54)(19, 55)(20, 56)(21, 65)(22, 66)(23, 67)(24, 68)(25, 61)(26, 62)(27, 63)(28, 64)(29, 73)(30, 74)(31, 75)(32, 76)(33, 69)(34, 70)(35, 71)(36, 72)(37, 79)(38, 80)(39, 77)(40, 78)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E5.211
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 40 f = 22
	degree seq :: [ 8^10 ]

E5.213 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^-1 * T2^-10 * T1^-1 ]
Map::
	R = (1, 41, 3, 43, 10, 50, 18, 58, 26, 66, 34, 74, 38, 78, 30, 70, 22, 62, 14, 54, 6, 46, 13, 53, 21, 61, 29, 69, 37, 77, 36, 76, 28, 68, 20, 60, 12, 52, 5, 45)(2, 42, 7, 47, 15, 55, 23, 63, 31, 71, 39, 79, 33, 73, 25, 65, 17, 57, 9, 49, 4, 44, 11, 51, 19, 59, 27, 67, 35, 75, 40, 80, 32, 72, 24, 64, 16, 56, 8, 48)
	L = (1, 42)(2, 46)(3, 49)(4, 41)(5, 51)(6, 44)(7, 45)(8, 43)(9, 53)(10, 56)(11, 54)(12, 55)(13, 48)(14, 47)(15, 62)(16, 61)(17, 50)(18, 65)(19, 52)(20, 67)(21, 57)(22, 59)(23, 60)(24, 58)(25, 69)(26, 72)(27, 70)(28, 71)(29, 64)(30, 63)(31, 78)(32, 77)(33, 66)(34, 79)(35, 68)(36, 80)(37, 73)(38, 75)(39, 76)(40, 74)
	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 E5.209
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 30
	degree seq :: [ 40^2 ]

E5.214 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^2 * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^3 * T2 * T1^-5 ]
Map:: polytopal non-degenerate
	R = (1, 41, 3, 43)(2, 42, 6, 46)(4, 44, 9, 49)(5, 45, 12, 52)(7, 47, 16, 56)(8, 48, 17, 57)(10, 50, 15, 55)(11, 51, 21, 61)(13, 53, 23, 63)(14, 54, 24, 64)(18, 58, 26, 66)(19, 59, 27, 67)(20, 60, 30, 70)(22, 62, 32, 72)(25, 65, 34, 74)(28, 68, 33, 73)(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, 55)(8, 43)(9, 58)(10, 44)(11, 60)(12, 48)(13, 49)(14, 46)(15, 65)(16, 63)(17, 64)(18, 67)(19, 50)(20, 69)(21, 54)(22, 52)(23, 57)(24, 72)(25, 73)(26, 56)(27, 75)(28, 59)(29, 77)(30, 62)(31, 61)(32, 80)(33, 78)(34, 66)(35, 79)(36, 68)(37, 74)(38, 71)(39, 70)(40, 76)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E5.210
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 20 e = 40 f = 12
	degree seq :: [ 4^20 ]

E5.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (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^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 10, 50)(6, 46, 12, 52)(8, 48, 11, 51)(13, 53, 17, 57)(14, 54, 18, 58)(15, 55, 19, 59)(16, 56, 20, 60)(21, 61, 25, 65)(22, 62, 26, 66)(23, 63, 27, 67)(24, 64, 28, 68)(29, 69, 33, 73)(30, 70, 34, 74)(31, 71, 35, 75)(32, 72, 36, 76)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 88, 128, 84, 124)(82, 122, 85, 125, 91, 131, 86, 126)(87, 127, 93, 133, 89, 129, 94, 134)(90, 130, 95, 135, 92, 132, 96, 136)(97, 137, 101, 141, 98, 138, 102, 142)(99, 139, 103, 143, 100, 140, 104, 144)(105, 145, 109, 149, 106, 146, 110, 150)(107, 147, 111, 151, 108, 148, 112, 152)(113, 153, 117, 157, 114, 154, 118, 158)(115, 155, 119, 159, 116, 156, 120, 160)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 90)(6, 92)(7, 83)(8, 91)(9, 84)(10, 85)(11, 88)(12, 86)(13, 97)(14, 98)(15, 99)(16, 100)(17, 93)(18, 94)(19, 95)(20, 96)(21, 105)(22, 106)(23, 107)(24, 108)(25, 101)(26, 102)(27, 103)(28, 104)(29, 113)(30, 114)(31, 115)(32, 116)(33, 109)(34, 110)(35, 111)(36, 112)(37, 119)(38, 120)(39, 117)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E5.218
Graph:: bipartite
	v = 30 e = 80 f = 42
	degree seq :: [ 4^20, 8^10 ]

E5.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^9 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 4, 44)(3, 43, 9, 49, 13, 53, 8, 48)(5, 45, 11, 51, 14, 54, 7, 47)(10, 50, 16, 56, 21, 61, 17, 57)(12, 52, 15, 55, 22, 62, 19, 59)(18, 58, 25, 65, 29, 69, 24, 64)(20, 60, 27, 67, 30, 70, 23, 63)(26, 66, 32, 72, 37, 77, 33, 73)(28, 68, 31, 71, 38, 78, 35, 75)(34, 74, 39, 79, 36, 76, 40, 80)(81, 121, 83, 123, 90, 130, 98, 138, 106, 146, 114, 154, 118, 158, 110, 150, 102, 142, 94, 134, 86, 126, 93, 133, 101, 141, 109, 149, 117, 157, 116, 156, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 87, 127, 95, 135, 103, 143, 111, 151, 119, 159, 113, 153, 105, 145, 97, 137, 89, 129, 84, 124, 91, 131, 99, 139, 107, 147, 115, 155, 120, 160, 112, 152, 104, 144, 96, 136, 88, 128)
	L = (1, 83)(2, 87)(3, 90)(4, 91)(5, 81)(6, 93)(7, 95)(8, 82)(9, 84)(10, 98)(11, 99)(12, 85)(13, 101)(14, 86)(15, 103)(16, 88)(17, 89)(18, 106)(19, 107)(20, 92)(21, 109)(22, 94)(23, 111)(24, 96)(25, 97)(26, 114)(27, 115)(28, 100)(29, 117)(30, 102)(31, 119)(32, 104)(33, 105)(34, 118)(35, 120)(36, 108)(37, 116)(38, 110)(39, 113)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E5.217
Graph:: bipartite
	v = 12 e = 80 f = 60
	degree seq :: [ 8^10, 40^2 ]

E5.217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3^7 * Y2 * Y3^-1 * Y2 * Y3^2, (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, 94, 134)(90, 130, 92, 132)(95, 135, 100, 140)(96, 136, 103, 143)(97, 137, 105, 145)(98, 138, 101, 141)(99, 139, 107, 147)(102, 142, 109, 149)(104, 144, 111, 151)(106, 146, 112, 152)(108, 148, 110, 150)(113, 153, 119, 159)(114, 154, 118, 158)(115, 155, 117, 157)(116, 156, 120, 160)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 92)(6, 82)(7, 95)(8, 97)(9, 98)(10, 84)(11, 100)(12, 102)(13, 103)(14, 86)(15, 89)(16, 87)(17, 106)(18, 107)(19, 90)(20, 93)(21, 91)(22, 110)(23, 111)(24, 94)(25, 96)(26, 114)(27, 115)(28, 99)(29, 101)(30, 118)(31, 119)(32, 104)(33, 105)(34, 117)(35, 120)(36, 108)(37, 109)(38, 113)(39, 116)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 40 ), ( 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E5.216
Graph:: simple bipartite
	v = 60 e = 80 f = 12
	degree seq :: [ 2^40, 4^20 ]

E5.218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y1^2 * Y3)^2, (Y3 * Y1)^4, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-5 ]
Map::
	R = (1, 41, 2, 42, 5, 45, 11, 51, 20, 60, 29, 69, 37, 77, 34, 74, 26, 66, 16, 56, 23, 63, 17, 57, 24, 64, 32, 72, 40, 80, 36, 76, 28, 68, 19, 59, 10, 50, 4, 44)(3, 43, 7, 47, 15, 55, 25, 65, 33, 73, 38, 78, 31, 71, 21, 61, 14, 54, 6, 46, 13, 53, 9, 49, 18, 58, 27, 67, 35, 75, 39, 79, 30, 70, 22, 62, 12, 52, 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, 96)(8, 97)(9, 84)(10, 95)(11, 101)(12, 85)(13, 103)(14, 104)(15, 90)(16, 87)(17, 88)(18, 106)(19, 107)(20, 110)(21, 91)(22, 112)(23, 93)(24, 94)(25, 114)(26, 98)(27, 99)(28, 113)(29, 118)(30, 100)(31, 120)(32, 102)(33, 108)(34, 105)(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, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E5.215
Graph:: simple bipartite
	v = 42 e = 80 f = 30
	degree seq :: [ 2^40, 40^2 ]

E5.219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^4, Y2^5 * Y1 * Y2^-5 * Y1 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 11, 51)(6, 46, 13, 53)(8, 48, 14, 54)(10, 50, 12, 52)(15, 55, 20, 60)(16, 56, 23, 63)(17, 57, 25, 65)(18, 58, 21, 61)(19, 59, 27, 67)(22, 62, 29, 69)(24, 64, 31, 71)(26, 66, 32, 72)(28, 68, 30, 70)(33, 73, 39, 79)(34, 74, 38, 78)(35, 75, 37, 77)(36, 76, 40, 80)(81, 121, 83, 123, 88, 128, 97, 137, 106, 146, 114, 154, 117, 157, 109, 149, 101, 141, 91, 131, 100, 140, 93, 133, 103, 143, 111, 151, 119, 159, 116, 156, 108, 148, 99, 139, 90, 130, 84, 124)(82, 122, 85, 125, 92, 132, 102, 142, 110, 150, 118, 158, 113, 153, 105, 145, 96, 136, 87, 127, 95, 135, 89, 129, 98, 138, 107, 147, 115, 155, 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, 94)(9, 84)(10, 92)(11, 85)(12, 90)(13, 86)(14, 88)(15, 100)(16, 103)(17, 105)(18, 101)(19, 107)(20, 95)(21, 98)(22, 109)(23, 96)(24, 111)(25, 97)(26, 112)(27, 99)(28, 110)(29, 102)(30, 108)(31, 104)(32, 106)(33, 119)(34, 118)(35, 117)(36, 120)(37, 115)(38, 114)(39, 113)(40, 116)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E5.220
Graph:: bipartite
	v = 22 e = 80 f = 50
	degree seq :: [ 4^20, 40^2 ]

E5.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-10 * Y1^-1, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 4, 44)(3, 43, 9, 49, 13, 53, 8, 48)(5, 45, 11, 51, 14, 54, 7, 47)(10, 50, 16, 56, 21, 61, 17, 57)(12, 52, 15, 55, 22, 62, 19, 59)(18, 58, 25, 65, 29, 69, 24, 64)(20, 60, 27, 67, 30, 70, 23, 63)(26, 66, 32, 72, 37, 77, 33, 73)(28, 68, 31, 71, 38, 78, 35, 75)(34, 74, 39, 79, 36, 76, 40, 80)(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, 91)(5, 81)(6, 93)(7, 95)(8, 82)(9, 84)(10, 98)(11, 99)(12, 85)(13, 101)(14, 86)(15, 103)(16, 88)(17, 89)(18, 106)(19, 107)(20, 92)(21, 109)(22, 94)(23, 111)(24, 96)(25, 97)(26, 114)(27, 115)(28, 100)(29, 117)(30, 102)(31, 119)(32, 104)(33, 105)(34, 118)(35, 120)(36, 108)(37, 116)(38, 110)(39, 113)(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) :: { ( 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E5.219
Graph:: simple bipartite
	v = 50 e = 80 f = 22
	degree seq :: [ 2^40, 8^10 ]

E5.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1)^3, (Y1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 15, 63)(11, 59, 19, 67)(13, 61, 17, 65)(14, 62, 22, 70)(16, 64, 24, 72)(18, 66, 26, 74)(20, 68, 28, 76)(21, 69, 29, 77)(23, 71, 31, 79)(25, 73, 33, 81)(27, 75, 35, 83)(30, 78, 38, 86)(32, 80, 36, 84)(34, 82, 41, 89)(37, 85, 43, 91)(39, 87, 44, 92)(40, 88, 45, 93)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 104, 152)(102, 150, 107, 155)(103, 151, 109, 157)(105, 153, 112, 160)(106, 154, 113, 161)(108, 156, 116, 164)(110, 158, 117, 165)(111, 159, 119, 167)(114, 162, 121, 169)(115, 163, 123, 171)(118, 166, 126, 174)(120, 168, 127, 175)(122, 170, 130, 178)(124, 172, 131, 179)(125, 173, 133, 181)(128, 176, 135, 183)(129, 177, 136, 184)(132, 180, 138, 186)(134, 182, 139, 187)(137, 185, 141, 189)(140, 188, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 102)(3, 104)(4, 97)(5, 107)(6, 98)(7, 110)(8, 99)(9, 108)(10, 114)(11, 101)(12, 105)(13, 117)(14, 103)(15, 118)(16, 116)(17, 121)(18, 106)(19, 122)(20, 112)(21, 109)(22, 111)(23, 126)(24, 128)(25, 113)(26, 115)(27, 130)(28, 132)(29, 129)(30, 119)(31, 135)(32, 120)(33, 125)(34, 123)(35, 138)(36, 124)(37, 136)(38, 140)(39, 127)(40, 133)(41, 142)(42, 131)(43, 143)(44, 134)(45, 144)(46, 137)(47, 139)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.224
Graph:: simple bipartite
	v = 48 e = 96 f = 40
	degree seq :: [ 4^48 ]

E5.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^3, (Y2 * Y1 * Y2 * Y3 * Y1 * Y3)^2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 15, 63)(11, 59, 19, 67)(13, 61, 21, 69)(14, 62, 23, 71)(16, 64, 25, 73)(17, 65, 26, 74)(18, 66, 28, 76)(20, 68, 30, 78)(22, 70, 33, 81)(24, 72, 35, 83)(27, 75, 40, 88)(29, 77, 42, 90)(31, 79, 38, 86)(32, 80, 43, 91)(34, 82, 41, 89)(36, 84, 39, 87)(37, 85, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 104, 152)(102, 150, 107, 155)(103, 151, 109, 157)(105, 153, 112, 160)(106, 154, 113, 161)(108, 156, 116, 164)(110, 158, 118, 166)(111, 159, 120, 168)(114, 162, 123, 171)(115, 163, 125, 173)(117, 165, 127, 175)(119, 167, 130, 178)(121, 169, 132, 180)(122, 170, 134, 182)(124, 172, 137, 185)(126, 174, 139, 187)(128, 176, 141, 189)(129, 177, 140, 188)(131, 179, 142, 190)(133, 181, 136, 184)(135, 183, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 102)(3, 104)(4, 97)(5, 107)(6, 98)(7, 110)(8, 99)(9, 108)(10, 114)(11, 101)(12, 105)(13, 118)(14, 103)(15, 119)(16, 116)(17, 123)(18, 106)(19, 124)(20, 112)(21, 128)(22, 109)(23, 111)(24, 130)(25, 133)(26, 135)(27, 113)(28, 115)(29, 137)(30, 140)(31, 141)(32, 117)(33, 139)(34, 120)(35, 138)(36, 136)(37, 121)(38, 143)(39, 122)(40, 132)(41, 125)(42, 131)(43, 129)(44, 126)(45, 127)(46, 144)(47, 134)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.223
Graph:: simple bipartite
	v = 48 e = 96 f = 40
	degree seq :: [ 4^48 ]

E5.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 10, 58)(4, 52, 11, 59, 7, 55)(6, 54, 13, 61, 15, 63)(9, 57, 18, 66, 17, 65)(12, 60, 21, 69, 22, 70)(14, 62, 25, 73, 24, 72)(16, 64, 27, 75, 26, 74)(19, 67, 30, 78, 31, 79)(20, 68, 32, 80, 33, 81)(23, 71, 35, 83, 34, 82)(28, 76, 37, 85, 39, 87)(29, 77, 40, 88, 41, 89)(36, 84, 43, 91, 45, 93)(38, 86, 44, 92, 42, 90)(46, 94, 47, 95, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 108, 156)(103, 151, 110, 158)(104, 152, 112, 160)(106, 154, 115, 163)(107, 155, 116, 164)(109, 157, 119, 167)(111, 159, 122, 170)(113, 161, 124, 172)(114, 162, 125, 173)(117, 165, 126, 174)(118, 166, 130, 178)(120, 168, 132, 180)(121, 169, 133, 181)(123, 171, 134, 182)(127, 175, 138, 186)(128, 176, 139, 187)(129, 177, 137, 185)(131, 179, 140, 188)(135, 183, 142, 190)(136, 184, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 97)(5, 107)(6, 110)(7, 98)(8, 113)(9, 99)(10, 114)(11, 101)(12, 116)(13, 120)(14, 102)(15, 121)(16, 124)(17, 104)(18, 106)(19, 125)(20, 108)(21, 129)(22, 128)(23, 132)(24, 109)(25, 111)(26, 133)(27, 135)(28, 112)(29, 115)(30, 137)(31, 136)(32, 118)(33, 117)(34, 139)(35, 141)(36, 119)(37, 122)(38, 142)(39, 123)(40, 127)(41, 126)(42, 143)(43, 130)(44, 144)(45, 131)(46, 134)(47, 138)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E5.222
Graph:: simple bipartite
	v = 40 e = 96 f = 48
	degree seq :: [ 4^24, 6^16 ]

E5.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 10, 58)(4, 52, 11, 59, 7, 55)(6, 54, 13, 61, 15, 63)(9, 57, 18, 66, 17, 65)(12, 60, 21, 69, 22, 70)(14, 62, 25, 73, 24, 72)(16, 64, 27, 75, 29, 77)(19, 67, 31, 79, 23, 71)(20, 68, 32, 80, 33, 81)(26, 74, 37, 85, 34, 82)(28, 76, 39, 87, 38, 86)(30, 78, 35, 83, 41, 89)(36, 84, 43, 91, 44, 92)(40, 88, 45, 93, 42, 90)(46, 94, 47, 95, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 108, 156)(103, 151, 110, 158)(104, 152, 112, 160)(106, 154, 115, 163)(107, 155, 116, 164)(109, 157, 119, 167)(111, 159, 122, 170)(113, 161, 124, 172)(114, 162, 126, 174)(117, 165, 130, 178)(118, 166, 123, 171)(120, 168, 131, 179)(121, 169, 132, 180)(125, 173, 136, 184)(127, 175, 138, 186)(128, 176, 134, 182)(129, 177, 139, 187)(133, 181, 141, 189)(135, 183, 142, 190)(137, 185, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 97)(5, 107)(6, 110)(7, 98)(8, 113)(9, 99)(10, 114)(11, 101)(12, 116)(13, 120)(14, 102)(15, 121)(16, 124)(17, 104)(18, 106)(19, 126)(20, 108)(21, 129)(22, 128)(23, 131)(24, 109)(25, 111)(26, 132)(27, 134)(28, 112)(29, 135)(30, 115)(31, 137)(32, 118)(33, 117)(34, 139)(35, 119)(36, 122)(37, 140)(38, 123)(39, 125)(40, 142)(41, 127)(42, 143)(43, 130)(44, 133)(45, 144)(46, 136)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E5.221
Graph:: simple bipartite
	v = 40 e = 96 f = 48
	degree seq :: [ 4^24, 6^16 ]

E5.225 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, (T1^-1 * T2 * T1^-1 * T2^-1)^2 ]
Map:: polytopal 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, 33, 28, 35)(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, 77)(72, 86, 78)(79, 89, 87)(80, 90, 88)(91, 95, 93)(92, 96, 94)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.230
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 12
	degree seq :: [ 3^16, 4^12 ]

E5.226 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4, (T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 19, 21)(10, 24, 45, 25)(13, 31, 46, 32)(14, 33, 26, 34)(15, 35, 30, 36)(17, 23, 44, 38)(18, 39, 48, 40)(22, 29, 42, 43)(28, 37, 47, 41)(49, 50, 52)(51, 56, 58)(53, 61, 62)(54, 63, 65)(55, 66, 67)(57, 70, 71)(59, 74, 76)(60, 77, 78)(64, 80, 85)(68, 83, 82)(69, 89, 90)(72, 75, 88)(73, 79, 84)(81, 86, 87)(91, 96, 94)(92, 93, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.229
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 12
	degree seq :: [ 3^16, 4^12 ]

E5.227 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 41, 21)(10, 24, 29, 25)(13, 31, 17, 32)(14, 33, 46, 34)(15, 35, 47, 36)(18, 38, 28, 39)(19, 40, 43, 23)(22, 42, 44, 26)(30, 45, 48, 37)(49, 50, 52)(51, 56, 58)(53, 61, 62)(54, 63, 65)(55, 66, 67)(57, 70, 71)(59, 74, 76)(60, 77, 78)(64, 68, 85)(69, 86, 81)(72, 80, 87)(73, 88, 84)(75, 83, 82)(79, 93, 92)(89, 90, 95)(91, 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 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.231
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 12
	degree seq :: [ 3^16, 4^12 ]

E5.228 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T1^-1 * T2^-1)^3, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1, T1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 27, 13)(6, 16, 30, 17)(9, 21, 35, 23)(11, 22, 36, 26)(14, 28, 34, 20)(15, 29, 31, 18)(24, 37, 45, 39)(25, 38, 46, 40)(32, 41, 47, 43)(33, 42, 48, 44)(49, 50, 54, 52)(51, 57, 64, 59)(53, 62, 65, 63)(55, 66, 60, 68)(56, 69, 61, 70)(58, 72, 78, 73)(67, 80, 75, 81)(71, 85, 74, 86)(76, 88, 77, 87)(79, 89, 82, 90)(83, 92, 84, 91)(93, 95, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E5.232
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 48 f = 16
	degree seq :: [ 4^24 ]

E5.229 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, (T1^-1 * T2 * T1^-1 * T2^-1)^2 ]
Map:: polytopal 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, 33, 81, 28, 76, 35, 83)(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, 71)(30, 72)(31, 89)(32, 90)(33, 82)(34, 68)(35, 84)(36, 69)(37, 77)(38, 78)(39, 79)(40, 80)(41, 87)(42, 88)(43, 95)(44, 96)(45, 91)(46, 92)(47, 93)(48, 94)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.226
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 48 f = 28
	degree seq :: [ 8^12 ]

E5.230 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4, (T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 9, 57, 5, 53)(2, 50, 6, 54, 16, 64, 7, 55)(4, 52, 11, 59, 27, 75, 12, 60)(8, 56, 20, 68, 19, 67, 21, 69)(10, 58, 24, 72, 45, 93, 25, 73)(13, 61, 31, 79, 46, 94, 32, 80)(14, 62, 33, 81, 26, 74, 34, 82)(15, 63, 35, 83, 30, 78, 36, 84)(17, 65, 23, 71, 44, 92, 38, 86)(18, 66, 39, 87, 48, 96, 40, 88)(22, 70, 29, 77, 42, 90, 43, 91)(28, 76, 37, 85, 47, 95, 41, 89)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 61)(6, 63)(7, 66)(8, 58)(9, 70)(10, 51)(11, 74)(12, 77)(13, 62)(14, 53)(15, 65)(16, 80)(17, 54)(18, 67)(19, 55)(20, 83)(21, 89)(22, 71)(23, 57)(24, 75)(25, 79)(26, 76)(27, 88)(28, 59)(29, 78)(30, 60)(31, 84)(32, 85)(33, 86)(34, 68)(35, 82)(36, 73)(37, 64)(38, 87)(39, 81)(40, 72)(41, 90)(42, 69)(43, 96)(44, 93)(45, 95)(46, 91)(47, 92)(48, 94)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.225
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 12 e = 48 f = 28
	degree seq :: [ 8^12 ]

E5.231 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 9, 57, 5, 53)(2, 50, 6, 54, 16, 64, 7, 55)(4, 52, 11, 59, 27, 75, 12, 60)(8, 56, 20, 68, 41, 89, 21, 69)(10, 58, 24, 72, 29, 77, 25, 73)(13, 61, 31, 79, 17, 65, 32, 80)(14, 62, 33, 81, 46, 94, 34, 82)(15, 63, 35, 83, 47, 95, 36, 84)(18, 66, 38, 86, 28, 76, 39, 87)(19, 67, 40, 88, 43, 91, 23, 71)(22, 70, 42, 90, 44, 92, 26, 74)(30, 78, 45, 93, 48, 96, 37, 85)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 61)(6, 63)(7, 66)(8, 58)(9, 70)(10, 51)(11, 74)(12, 77)(13, 62)(14, 53)(15, 65)(16, 68)(17, 54)(18, 67)(19, 55)(20, 85)(21, 86)(22, 71)(23, 57)(24, 80)(25, 88)(26, 76)(27, 83)(28, 59)(29, 78)(30, 60)(31, 93)(32, 87)(33, 69)(34, 75)(35, 82)(36, 73)(37, 64)(38, 81)(39, 72)(40, 84)(41, 90)(42, 95)(43, 94)(44, 79)(45, 92)(46, 96)(47, 89)(48, 91)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.227
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 12 e = 48 f = 28
	degree seq :: [ 8^12 ]

E5.232 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ F^2, T2^3, T1^4, T1^4, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-2 * T2 * T1, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 5, 53)(2, 50, 7, 55, 8, 56)(4, 52, 11, 59, 12, 60)(6, 54, 15, 63, 16, 64)(9, 57, 21, 69, 22, 70)(10, 58, 23, 71, 24, 72)(13, 61, 25, 73, 26, 74)(14, 62, 27, 75, 28, 76)(17, 65, 29, 77, 30, 78)(18, 66, 31, 79, 32, 80)(19, 67, 33, 81, 34, 82)(20, 68, 35, 83, 36, 84)(37, 85, 45, 93, 39, 87)(38, 86, 46, 94, 40, 88)(41, 89, 47, 95, 43, 91)(42, 90, 48, 96, 44, 92)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 61)(6, 52)(7, 65)(8, 67)(9, 63)(10, 51)(11, 66)(12, 68)(13, 64)(14, 53)(15, 58)(16, 62)(17, 59)(18, 55)(19, 60)(20, 56)(21, 82)(22, 85)(23, 84)(24, 86)(25, 87)(26, 77)(27, 88)(28, 79)(29, 76)(30, 89)(31, 74)(32, 90)(33, 91)(34, 71)(35, 92)(36, 69)(37, 72)(38, 70)(39, 75)(40, 73)(41, 80)(42, 78)(43, 83)(44, 81)(45, 95)(46, 96)(47, 94)(48, 93)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E5.228
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 48 f = 24
	degree seq :: [ 6^16 ]

E5.233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y3 * Y2)^4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 16, 64, 22, 70)(11, 59, 25, 73, 26, 74)(12, 60, 27, 75, 28, 76)(20, 68, 33, 81, 34, 82)(21, 69, 35, 83, 36, 84)(23, 71, 37, 85, 29, 77)(24, 72, 38, 86, 30, 78)(31, 79, 41, 89, 39, 87)(32, 80, 42, 90, 40, 88)(43, 91, 47, 95, 45, 93)(44, 92, 48, 96, 46, 94)(97, 145, 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, 129, 177, 124, 172, 131, 179)(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, 125)(24, 126)(25, 107)(26, 121)(27, 108)(28, 123)(29, 133)(30, 134)(31, 135)(32, 136)(33, 116)(34, 129)(35, 117)(36, 131)(37, 119)(38, 120)(39, 137)(40, 138)(41, 127)(42, 128)(43, 141)(44, 142)(45, 143)(46, 144)(47, 139)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.239
Graph:: bipartite
	v = 28 e = 96 f = 60
	degree seq :: [ 6^16, 8^12 ]

E5.234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-2, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2 * Y1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^2, Y2 * Y3 * Y2^-2 * Y1^-1 * Y2 * Y3^-1, Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 22, 70, 23, 71)(11, 59, 26, 74, 28, 76)(12, 60, 29, 77, 30, 78)(16, 64, 20, 68, 37, 85)(21, 69, 38, 86, 33, 81)(24, 72, 32, 80, 39, 87)(25, 73, 40, 88, 36, 84)(27, 75, 35, 83, 34, 82)(31, 79, 45, 93, 44, 92)(41, 89, 42, 90, 47, 95)(43, 91, 46, 94, 48, 96)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 123, 171, 108, 156)(104, 152, 116, 164, 137, 185, 117, 165)(106, 154, 120, 168, 125, 173, 121, 169)(109, 157, 127, 175, 113, 161, 128, 176)(110, 158, 129, 177, 142, 190, 130, 178)(111, 159, 131, 179, 143, 191, 132, 180)(114, 162, 134, 182, 124, 172, 135, 183)(115, 163, 136, 184, 139, 187, 119, 167)(118, 166, 138, 186, 140, 188, 122, 170)(126, 174, 141, 189, 144, 192, 133, 181)
	L = (1, 100)(2, 97)(3, 106)(4, 98)(5, 110)(6, 113)(7, 115)(8, 99)(9, 119)(10, 104)(11, 124)(12, 126)(13, 101)(14, 109)(15, 102)(16, 133)(17, 111)(18, 103)(19, 114)(20, 112)(21, 129)(22, 105)(23, 118)(24, 135)(25, 132)(26, 107)(27, 130)(28, 122)(29, 108)(30, 125)(31, 140)(32, 120)(33, 134)(34, 131)(35, 123)(36, 136)(37, 116)(38, 117)(39, 128)(40, 121)(41, 143)(42, 137)(43, 144)(44, 141)(45, 127)(46, 139)(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) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.240
Graph:: bipartite
	v = 28 e = 96 f = 60
	degree seq :: [ 6^16, 8^12 ]

E5.235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1^-2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y2^-2 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^2, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^4, Y2 * 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, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 22, 70, 23, 71)(11, 59, 26, 74, 28, 76)(12, 60, 29, 77, 30, 78)(16, 64, 32, 80, 37, 85)(20, 68, 35, 83, 34, 82)(21, 69, 41, 89, 42, 90)(24, 72, 27, 75, 40, 88)(25, 73, 31, 79, 36, 84)(33, 81, 38, 86, 39, 87)(43, 91, 48, 96, 46, 94)(44, 92, 45, 93, 47, 95)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 123, 171, 108, 156)(104, 152, 116, 164, 115, 163, 117, 165)(106, 154, 120, 168, 141, 189, 121, 169)(109, 157, 127, 175, 142, 190, 128, 176)(110, 158, 129, 177, 122, 170, 130, 178)(111, 159, 131, 179, 126, 174, 132, 180)(113, 161, 119, 167, 140, 188, 134, 182)(114, 162, 135, 183, 144, 192, 136, 184)(118, 166, 125, 173, 138, 186, 139, 187)(124, 172, 133, 181, 143, 191, 137, 185)
	L = (1, 100)(2, 97)(3, 106)(4, 98)(5, 110)(6, 113)(7, 115)(8, 99)(9, 119)(10, 104)(11, 124)(12, 126)(13, 101)(14, 109)(15, 102)(16, 133)(17, 111)(18, 103)(19, 114)(20, 130)(21, 138)(22, 105)(23, 118)(24, 136)(25, 132)(26, 107)(27, 120)(28, 122)(29, 108)(30, 125)(31, 121)(32, 112)(33, 135)(34, 131)(35, 116)(36, 127)(37, 128)(38, 129)(39, 134)(40, 123)(41, 117)(42, 137)(43, 142)(44, 143)(45, 140)(46, 144)(47, 141)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.238
Graph:: bipartite
	v = 28 e = 96 f = 60
	degree seq :: [ 6^16, 8^12 ]

E5.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y2^4, Y1^4, (Y2^-1 * Y1^-1)^3, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^3 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 23, 71, 11, 59)(5, 53, 14, 62, 29, 77, 15, 63)(7, 55, 18, 66, 35, 83, 20, 68)(8, 56, 21, 69, 36, 84, 22, 70)(10, 58, 19, 67, 31, 79, 26, 74)(12, 60, 27, 75, 40, 88, 25, 73)(13, 61, 28, 76, 39, 87, 24, 72)(16, 64, 30, 78, 41, 89, 32, 80)(17, 65, 33, 81, 42, 90, 34, 82)(37, 85, 45, 93, 47, 95, 44, 92)(38, 86, 46, 94, 48, 96, 43, 91)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 103, 151, 115, 163, 104, 152)(100, 148, 108, 156, 122, 170, 109, 157)(102, 150, 112, 160, 127, 175, 113, 161)(105, 153, 120, 168, 110, 158, 121, 169)(107, 155, 114, 162, 111, 159, 117, 165)(116, 164, 126, 174, 118, 166, 129, 177)(119, 167, 133, 181, 125, 173, 134, 182)(123, 171, 130, 178, 124, 172, 128, 176)(131, 179, 139, 187, 132, 180, 140, 188)(135, 183, 141, 189, 136, 184, 142, 190)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 112)(7, 115)(8, 98)(9, 120)(10, 101)(11, 114)(12, 122)(13, 100)(14, 121)(15, 117)(16, 127)(17, 102)(18, 111)(19, 104)(20, 126)(21, 107)(22, 129)(23, 133)(24, 110)(25, 105)(26, 109)(27, 130)(28, 128)(29, 134)(30, 118)(31, 113)(32, 123)(33, 116)(34, 124)(35, 139)(36, 140)(37, 125)(38, 119)(39, 141)(40, 142)(41, 143)(42, 144)(43, 132)(44, 131)(45, 136)(46, 135)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.237
Graph:: bipartite
	v = 24 e = 96 f = 64
	degree seq :: [ 8^24 ]

E5.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, (Y2^-1 * Y3^-1 * Y2^-1 * Y3)^2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4 ]
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, 111, 159, 113, 161)(103, 151, 114, 162, 115, 163)(105, 153, 112, 160, 118, 166)(107, 155, 121, 169, 122, 170)(108, 156, 123, 171, 124, 172)(116, 164, 129, 177, 130, 178)(117, 165, 131, 179, 132, 180)(119, 167, 133, 181, 125, 173)(120, 168, 134, 182, 126, 174)(127, 175, 137, 185, 135, 183)(128, 176, 138, 186, 136, 184)(139, 187, 143, 191, 141, 189)(140, 188, 144, 192, 142, 190)
	L = (1, 99)(2, 102)(3, 105)(4, 107)(5, 97)(6, 112)(7, 98)(8, 116)(9, 101)(10, 119)(11, 118)(12, 100)(13, 117)(14, 120)(15, 125)(16, 103)(17, 127)(18, 126)(19, 128)(20, 109)(21, 104)(22, 108)(23, 110)(24, 106)(25, 135)(26, 129)(27, 136)(28, 131)(29, 114)(30, 111)(31, 115)(32, 113)(33, 124)(34, 139)(35, 122)(36, 140)(37, 141)(38, 142)(39, 123)(40, 121)(41, 143)(42, 144)(43, 132)(44, 130)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E5.236
Graph:: simple bipartite
	v = 64 e = 96 f = 24
	degree seq :: [ 2^48, 6^16 ]

E5.238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, (Y3 * Y2^-1)^3, (Y3^-1 * Y1 * Y3^-1 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 15, 63, 10, 58)(5, 53, 13, 61, 16, 64, 14, 62)(7, 55, 17, 65, 11, 59, 18, 66)(8, 56, 19, 67, 12, 60, 20, 68)(21, 69, 34, 82, 23, 71, 36, 84)(22, 70, 37, 85, 24, 72, 38, 86)(25, 73, 39, 87, 27, 75, 40, 88)(26, 74, 29, 77, 28, 76, 31, 79)(30, 78, 41, 89, 32, 80, 42, 90)(33, 81, 43, 91, 35, 83, 44, 92)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145)(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, 111)(7, 104)(8, 98)(9, 117)(10, 119)(11, 108)(12, 100)(13, 121)(14, 123)(15, 112)(16, 102)(17, 125)(18, 127)(19, 129)(20, 131)(21, 118)(22, 105)(23, 120)(24, 106)(25, 122)(26, 109)(27, 124)(28, 110)(29, 126)(30, 113)(31, 128)(32, 114)(33, 130)(34, 115)(35, 132)(36, 116)(37, 141)(38, 142)(39, 133)(40, 134)(41, 143)(42, 144)(43, 137)(44, 138)(45, 135)(46, 136)(47, 139)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.235
Graph:: simple bipartite
	v = 60 e = 96 f = 28
	degree seq :: [ 2^48, 8^12 ]

E5.239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y1^-1)^4, (Y1^-1 * Y3^-1 * Y1 * Y3^-1)^2 ]
Map:: polytopal
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 21, 69, 10, 58)(5, 53, 13, 61, 30, 78, 14, 62)(7, 55, 17, 65, 25, 73, 18, 66)(8, 56, 19, 67, 40, 88, 20, 68)(11, 59, 26, 74, 46, 94, 27, 75)(12, 60, 28, 76, 31, 79, 29, 77)(15, 63, 33, 81, 39, 87, 35, 83)(16, 64, 36, 84, 44, 92, 23, 71)(22, 70, 37, 85, 34, 82, 42, 90)(24, 72, 45, 93, 47, 95, 41, 89)(32, 80, 43, 91, 48, 96, 38, 86)(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, 111)(7, 104)(8, 98)(9, 118)(10, 120)(11, 108)(12, 100)(13, 127)(14, 129)(15, 112)(16, 102)(17, 133)(18, 134)(19, 126)(20, 122)(21, 123)(22, 119)(23, 105)(24, 121)(25, 106)(26, 138)(27, 139)(28, 140)(29, 113)(30, 137)(31, 128)(32, 109)(33, 130)(34, 110)(35, 143)(36, 136)(37, 125)(38, 135)(39, 114)(40, 144)(41, 115)(42, 116)(43, 117)(44, 141)(45, 124)(46, 131)(47, 142)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.233
Graph:: simple bipartite
	v = 60 e = 96 f = 28
	degree seq :: [ 2^48, 8^12 ]

E5.240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3, (Y3 * Y1^-1)^4, (Y3^-1 * Y1^-1)^4, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 21, 69, 10, 58)(5, 53, 13, 61, 30, 78, 14, 62)(7, 55, 17, 65, 37, 85, 18, 66)(8, 56, 19, 67, 33, 81, 20, 68)(11, 59, 26, 74, 23, 71, 27, 75)(12, 60, 28, 76, 46, 94, 29, 77)(15, 63, 35, 83, 45, 93, 31, 79)(16, 64, 25, 73, 41, 89, 36, 84)(22, 70, 43, 91, 47, 95, 42, 90)(24, 72, 39, 87, 32, 80, 40, 88)(34, 82, 44, 92, 48, 96, 38, 86)(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, 111)(7, 104)(8, 98)(9, 118)(10, 120)(11, 108)(12, 100)(13, 127)(14, 129)(15, 112)(16, 102)(17, 134)(18, 135)(19, 123)(20, 137)(21, 113)(22, 119)(23, 105)(24, 121)(25, 106)(26, 140)(27, 136)(28, 114)(29, 126)(30, 139)(31, 128)(32, 109)(33, 130)(34, 110)(35, 143)(36, 142)(37, 131)(38, 117)(39, 124)(40, 115)(41, 138)(42, 116)(43, 125)(44, 141)(45, 122)(46, 144)(47, 133)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.234
Graph:: simple bipartite
	v = 60 e = 96 f = 28
	degree seq :: [ 2^48, 8^12 ]

E5.241 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^6, T1^6, (T1^-1 * T2 * T1^-2)^2, (T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2)^6 ]
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, 37, 33, 39, 27)(17, 31, 41, 29, 35, 32)(26, 38, 34, 40, 44, 36)(42, 45, 43, 46, 48, 47)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 29)(18, 33)(19, 31)(20, 34)(23, 35)(24, 36)(25, 37)(28, 40)(30, 42)(32, 43)(38, 45)(39, 46)(41, 47)(44, 48)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 24 f = 8
	degree seq :: [ 6^8 ]

E5.242 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^6, (T2^-1 * T1 * T2^-2)^2, (T2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^6 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 21, 31, 16)(9, 19, 33, 17, 32, 20)(11, 22, 36, 28, 37, 23)(13, 26, 39, 24, 38, 27)(29, 41, 34, 43, 47, 42)(35, 44, 40, 46, 48, 45)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 65)(58, 69)(60, 72)(62, 76)(63, 77)(64, 71)(66, 73)(67, 74)(68, 82)(70, 83)(75, 88)(78, 84)(79, 91)(80, 86)(81, 90)(85, 94)(87, 93)(89, 92)(95, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E5.243
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 48 f = 8
	degree seq :: [ 2^24, 6^8 ]

E5.243 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^6, (T2^-1 * T1 * T2^-2)^2, (T2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^6 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 18, 66, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 25, 73, 14, 62, 6, 54)(7, 55, 15, 63, 30, 78, 21, 69, 31, 79, 16, 64)(9, 57, 19, 67, 33, 81, 17, 65, 32, 80, 20, 68)(11, 59, 22, 70, 36, 84, 28, 76, 37, 85, 23, 71)(13, 61, 26, 74, 39, 87, 24, 72, 38, 86, 27, 75)(29, 77, 41, 89, 34, 82, 43, 91, 47, 95, 42, 90)(35, 83, 44, 92, 40, 88, 46, 94, 48, 96, 45, 93)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 52)(10, 69)(11, 53)(12, 72)(13, 54)(14, 76)(15, 77)(16, 71)(17, 56)(18, 73)(19, 74)(20, 82)(21, 58)(22, 83)(23, 64)(24, 60)(25, 66)(26, 67)(27, 88)(28, 62)(29, 63)(30, 84)(31, 91)(32, 86)(33, 90)(34, 68)(35, 70)(36, 78)(37, 94)(38, 80)(39, 93)(40, 75)(41, 92)(42, 81)(43, 79)(44, 89)(45, 87)(46, 85)(47, 96)(48, 95)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.242
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 32
	degree seq :: [ 12^8 ]

E5.244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^6, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-1 * R * Y2^-2)^2, (Y2^-2 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2 * Y1)^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, 24, 72)(14, 62, 28, 76)(15, 63, 29, 77)(16, 64, 23, 71)(18, 66, 25, 73)(19, 67, 26, 74)(20, 68, 34, 82)(22, 70, 35, 83)(27, 75, 40, 88)(30, 78, 36, 84)(31, 79, 43, 91)(32, 80, 38, 86)(33, 81, 42, 90)(37, 85, 46, 94)(39, 87, 45, 93)(41, 89, 44, 92)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 114, 162, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 121, 169, 110, 158, 102, 150)(103, 151, 111, 159, 126, 174, 117, 165, 127, 175, 112, 160)(105, 153, 115, 163, 129, 177, 113, 161, 128, 176, 116, 164)(107, 155, 118, 166, 132, 180, 124, 172, 133, 181, 119, 167)(109, 157, 122, 170, 135, 183, 120, 168, 134, 182, 123, 171)(125, 173, 137, 185, 130, 178, 139, 187, 143, 191, 138, 186)(131, 179, 140, 188, 136, 184, 142, 190, 144, 192, 141, 189)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 120)(13, 102)(14, 124)(15, 125)(16, 119)(17, 104)(18, 121)(19, 122)(20, 130)(21, 106)(22, 131)(23, 112)(24, 108)(25, 114)(26, 115)(27, 136)(28, 110)(29, 111)(30, 132)(31, 139)(32, 134)(33, 138)(34, 116)(35, 118)(36, 126)(37, 142)(38, 128)(39, 141)(40, 123)(41, 140)(42, 129)(43, 127)(44, 137)(45, 135)(46, 133)(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 ) }
Outer automorphisms :: reflexible
Dual of E5.245
Graph:: bipartite
	v = 32 e = 96 f = 56
	degree seq :: [ 4^24, 12^8 ]

E5.245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1^-3 * Y3^-1 * Y1^-3, (Y3^-1, Y1, Y3^-1), (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 49, 2, 50, 5, 53, 11, 59, 10, 58, 4, 52)(3, 51, 7, 55, 15, 63, 22, 70, 18, 66, 8, 56)(6, 54, 13, 61, 25, 73, 21, 69, 28, 76, 14, 62)(9, 57, 19, 67, 24, 72, 12, 60, 23, 71, 20, 68)(16, 64, 30, 78, 37, 85, 33, 81, 39, 87, 27, 75)(17, 65, 31, 79, 41, 89, 29, 77, 35, 83, 32, 80)(26, 74, 38, 86, 34, 82, 40, 88, 44, 92, 36, 84)(42, 90, 45, 93, 43, 91, 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, 102)(3, 97)(4, 105)(5, 108)(6, 98)(7, 112)(8, 113)(9, 100)(10, 117)(11, 118)(12, 101)(13, 122)(14, 123)(15, 125)(16, 103)(17, 104)(18, 129)(19, 127)(20, 130)(21, 106)(22, 107)(23, 131)(24, 132)(25, 133)(26, 109)(27, 110)(28, 136)(29, 111)(30, 138)(31, 115)(32, 139)(33, 114)(34, 116)(35, 119)(36, 120)(37, 121)(38, 141)(39, 142)(40, 124)(41, 143)(42, 126)(43, 128)(44, 144)(45, 134)(46, 135)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.244
Graph:: simple bipartite
	v = 56 e = 96 f = 32
	degree seq :: [ 2^48, 12^8 ]

E5.246 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T2 * T1^-2)^2, (T1 * T2)^4, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 44, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 45, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 46, 48, 47, 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, 44)(39, 46)(41, 47)(45, 48)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E5.247
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 24 f = 12
	degree seq :: [ 12^4 ]

E5.247 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 10, 8)(6, 11, 9, 12)(13, 17, 14, 18)(15, 19, 16, 20)(21, 25, 22, 26)(23, 27, 24, 28)(29, 33, 30, 34)(31, 35, 32, 36)(37, 41, 38, 42)(39, 43, 40, 44)(45, 47, 46, 48)
	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)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E5.246
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 24 f = 4
	degree seq :: [ 4^12 ]

E5.248 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^12 ]
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, 37, 34, 38)(35, 39, 36, 40)(41, 45, 42, 46)(43, 47, 44, 48)(49, 50)(51, 55)(52, 57)(53, 58)(54, 60)(56, 59)(61, 65)(62, 66)(63, 67)(64, 68)(69, 73)(70, 74)(71, 75)(72, 76)(77, 81)(78, 82)(79, 83)(80, 84)(85, 89)(86, 90)(87, 91)(88, 92)(93, 95)(94, 96)
	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 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E5.252
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 48 f = 4
	degree seq :: [ 2^24, 4^12 ]

E5.249 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 46, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 47, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 44, 48, 45, 38, 30, 22, 14)(49, 50, 54, 52)(51, 57, 61, 56)(53, 59, 62, 55)(58, 64, 69, 65)(60, 63, 70, 67)(66, 73, 77, 72)(68, 75, 78, 71)(74, 80, 85, 81)(76, 79, 86, 83)(82, 89, 92, 88)(84, 91, 93, 87)(90, 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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E5.253
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 48 f = 24
	degree seq :: [ 4^12, 12^4 ]

E5.250 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^4, T1^12 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 44)(39, 46)(41, 47)(45, 48)(49, 50, 53, 59, 68, 77, 85, 84, 76, 67, 58, 52)(51, 55, 63, 73, 81, 89, 92, 87, 78, 70, 60, 56)(54, 61, 57, 66, 75, 83, 91, 93, 86, 79, 69, 62)(64, 71, 65, 72, 80, 88, 94, 96, 95, 90, 82, 74)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E5.251
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 12
	degree seq :: [ 2^24, 12^4 ]

E5.251 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^12 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 4, 52)(2, 50, 5, 53, 11, 59, 6, 54)(7, 55, 13, 61, 9, 57, 14, 62)(10, 58, 15, 63, 12, 60, 16, 64)(17, 65, 21, 69, 18, 66, 22, 70)(19, 67, 23, 71, 20, 68, 24, 72)(25, 73, 29, 77, 26, 74, 30, 78)(27, 75, 31, 79, 28, 76, 32, 80)(33, 81, 37, 85, 34, 82, 38, 86)(35, 83, 39, 87, 36, 84, 40, 88)(41, 89, 45, 93, 42, 90, 46, 94)(43, 91, 47, 95, 44, 92, 48, 96)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 58)(6, 60)(7, 51)(8, 59)(9, 52)(10, 53)(11, 56)(12, 54)(13, 65)(14, 66)(15, 67)(16, 68)(17, 61)(18, 62)(19, 63)(20, 64)(21, 73)(22, 74)(23, 75)(24, 76)(25, 69)(26, 70)(27, 71)(28, 72)(29, 81)(30, 82)(31, 83)(32, 84)(33, 77)(34, 78)(35, 79)(36, 80)(37, 89)(38, 90)(39, 91)(40, 92)(41, 85)(42, 86)(43, 87)(44, 88)(45, 95)(46, 96)(47, 93)(48, 94)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.250
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 28
	degree seq :: [ 8^12 ]

E5.252 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^12 ]
Map::
	R = (1, 49, 3, 51, 10, 58, 18, 66, 26, 74, 34, 82, 42, 90, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53)(2, 50, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 46, 94, 40, 88, 32, 80, 24, 72, 16, 64, 8, 56)(4, 52, 11, 59, 19, 67, 27, 75, 35, 83, 43, 91, 47, 95, 41, 89, 33, 81, 25, 73, 17, 65, 9, 57)(6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 44, 92, 48, 96, 45, 93, 38, 86, 30, 78, 22, 70, 14, 62)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 59)(6, 52)(7, 53)(8, 51)(9, 61)(10, 64)(11, 62)(12, 63)(13, 56)(14, 55)(15, 70)(16, 69)(17, 58)(18, 73)(19, 60)(20, 75)(21, 65)(22, 67)(23, 68)(24, 66)(25, 77)(26, 80)(27, 78)(28, 79)(29, 72)(30, 71)(31, 86)(32, 85)(33, 74)(34, 89)(35, 76)(36, 91)(37, 81)(38, 83)(39, 84)(40, 82)(41, 92)(42, 94)(43, 93)(44, 88)(45, 87)(46, 96)(47, 90)(48, 95)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.248
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 36
	degree seq :: [ 24^4 ]

E5.253 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^4, 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, 26, 74)(19, 67, 27, 75)(20, 68, 30, 78)(22, 70, 32, 80)(25, 73, 34, 82)(28, 76, 33, 81)(29, 77, 38, 86)(31, 79, 40, 88)(35, 83, 42, 90)(36, 84, 43, 91)(37, 85, 44, 92)(39, 87, 46, 94)(41, 89, 47, 95)(45, 93, 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, 71)(17, 72)(18, 75)(19, 58)(20, 77)(21, 62)(22, 60)(23, 65)(24, 80)(25, 81)(26, 64)(27, 83)(28, 67)(29, 85)(30, 70)(31, 69)(32, 88)(33, 89)(34, 74)(35, 91)(36, 76)(37, 84)(38, 79)(39, 78)(40, 94)(41, 92)(42, 82)(43, 93)(44, 87)(45, 86)(46, 96)(47, 90)(48, 95)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.249
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 48 f = 16
	degree seq :: [ 4^24 ]

E5.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, 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)^12 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 11, 59)(13, 61, 17, 65)(14, 62, 18, 66)(15, 63, 19, 67)(16, 64, 20, 68)(21, 69, 25, 73)(22, 70, 26, 74)(23, 71, 27, 75)(24, 72, 28, 76)(29, 77, 33, 81)(30, 78, 34, 82)(31, 79, 35, 83)(32, 80, 36, 84)(37, 85, 41, 89)(38, 86, 42, 90)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 104, 152, 100, 148)(98, 146, 101, 149, 107, 155, 102, 150)(103, 151, 109, 157, 105, 153, 110, 158)(106, 154, 111, 159, 108, 156, 112, 160)(113, 161, 117, 165, 114, 162, 118, 166)(115, 163, 119, 167, 116, 164, 120, 168)(121, 169, 125, 173, 122, 170, 126, 174)(123, 171, 127, 175, 124, 172, 128, 176)(129, 177, 133, 181, 130, 178, 134, 182)(131, 179, 135, 183, 132, 180, 136, 184)(137, 185, 141, 189, 138, 186, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 106)(6, 108)(7, 99)(8, 107)(9, 100)(10, 101)(11, 104)(12, 102)(13, 113)(14, 114)(15, 115)(16, 116)(17, 109)(18, 110)(19, 111)(20, 112)(21, 121)(22, 122)(23, 123)(24, 124)(25, 117)(26, 118)(27, 119)(28, 120)(29, 129)(30, 130)(31, 131)(32, 132)(33, 125)(34, 126)(35, 127)(36, 128)(37, 137)(38, 138)(39, 139)(40, 140)(41, 133)(42, 134)(43, 135)(44, 136)(45, 143)(46, 144)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E5.257
Graph:: bipartite
	v = 36 e = 96 f = 52
	degree seq :: [ 4^24, 8^12 ]

E5.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ 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, Y2^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 13, 61, 8, 56)(5, 53, 11, 59, 14, 62, 7, 55)(10, 58, 16, 64, 21, 69, 17, 65)(12, 60, 15, 63, 22, 70, 19, 67)(18, 66, 25, 73, 29, 77, 24, 72)(20, 68, 27, 75, 30, 78, 23, 71)(26, 74, 32, 80, 37, 85, 33, 81)(28, 76, 31, 79, 38, 86, 35, 83)(34, 82, 41, 89, 44, 92, 40, 88)(36, 84, 43, 91, 45, 93, 39, 87)(42, 90, 46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149)(98, 146, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 142, 190, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)(100, 148, 107, 155, 115, 163, 123, 171, 131, 179, 139, 187, 143, 191, 137, 185, 129, 177, 121, 169, 113, 161, 105, 153)(102, 150, 109, 157, 117, 165, 125, 173, 133, 181, 140, 188, 144, 192, 141, 189, 134, 182, 126, 174, 118, 166, 110, 158)
	L = (1, 99)(2, 103)(3, 106)(4, 107)(5, 97)(6, 109)(7, 111)(8, 98)(9, 100)(10, 114)(11, 115)(12, 101)(13, 117)(14, 102)(15, 119)(16, 104)(17, 105)(18, 122)(19, 123)(20, 108)(21, 125)(22, 110)(23, 127)(24, 112)(25, 113)(26, 130)(27, 131)(28, 116)(29, 133)(30, 118)(31, 135)(32, 120)(33, 121)(34, 138)(35, 139)(36, 124)(37, 140)(38, 126)(39, 142)(40, 128)(41, 129)(42, 132)(43, 143)(44, 144)(45, 134)(46, 136)(47, 137)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E5.256
Graph:: bipartite
	v = 16 e = 96 f = 72
	degree seq :: [ 8^12, 24^4 ]

E5.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1, 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, Y3^4 * Y2 * Y3^-8 * 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, 116, 164)(112, 160, 119, 167)(113, 161, 121, 169)(114, 162, 117, 165)(115, 163, 123, 171)(118, 166, 125, 173)(120, 168, 127, 175)(122, 170, 128, 176)(124, 172, 126, 174)(129, 177, 135, 183)(130, 178, 137, 185)(131, 179, 133, 181)(132, 180, 139, 187)(134, 182, 140, 188)(136, 184, 142, 190)(138, 186, 141, 189)(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, 122)(18, 123)(19, 106)(20, 109)(21, 107)(22, 126)(23, 127)(24, 110)(25, 112)(26, 130)(27, 131)(28, 115)(29, 117)(30, 134)(31, 135)(32, 120)(33, 121)(34, 138)(35, 139)(36, 124)(37, 125)(38, 141)(39, 142)(40, 128)(41, 129)(42, 132)(43, 143)(44, 133)(45, 136)(46, 144)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E5.255
Graph:: simple bipartite
	v = 72 e = 96 f = 16
	degree seq :: [ 2^48, 4^24 ]

E5.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ 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, Y1^12 ]
Map:: polytopal
	R = (1, 49, 2, 50, 5, 53, 11, 59, 20, 68, 29, 77, 37, 85, 36, 84, 28, 76, 19, 67, 10, 58, 4, 52)(3, 51, 7, 55, 15, 63, 25, 73, 33, 81, 41, 89, 44, 92, 39, 87, 30, 78, 22, 70, 12, 60, 8, 56)(6, 54, 13, 61, 9, 57, 18, 66, 27, 75, 35, 83, 43, 91, 45, 93, 38, 86, 31, 79, 21, 69, 14, 62)(16, 64, 23, 71, 17, 65, 24, 72, 32, 80, 40, 88, 46, 94, 48, 96, 47, 95, 42, 90, 34, 82, 26, 74)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 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, 122)(19, 123)(20, 126)(21, 107)(22, 128)(23, 109)(24, 110)(25, 130)(26, 114)(27, 115)(28, 129)(29, 134)(30, 116)(31, 136)(32, 118)(33, 124)(34, 121)(35, 138)(36, 139)(37, 140)(38, 125)(39, 142)(40, 127)(41, 143)(42, 131)(43, 132)(44, 133)(45, 144)(46, 135)(47, 137)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.254
Graph:: simple bipartite
	v = 52 e = 96 f = 36
	degree seq :: [ 2^48, 24^4 ]

E5.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, 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, Y2^12 ]
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, 20, 68)(16, 64, 23, 71)(17, 65, 25, 73)(18, 66, 21, 69)(19, 67, 27, 75)(22, 70, 29, 77)(24, 72, 31, 79)(26, 74, 32, 80)(28, 76, 30, 78)(33, 81, 39, 87)(34, 82, 41, 89)(35, 83, 37, 85)(36, 84, 43, 91)(38, 86, 44, 92)(40, 88, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 122, 170, 130, 178, 138, 186, 132, 180, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 126, 174, 134, 182, 141, 189, 136, 184, 128, 176, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 105, 153, 114, 162, 123, 171, 131, 179, 139, 187, 143, 191, 137, 185, 129, 177, 121, 169, 112, 160)(107, 155, 116, 164, 109, 157, 119, 167, 127, 175, 135, 183, 142, 190, 144, 192, 140, 188, 133, 181, 125, 173, 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, 116)(16, 119)(17, 121)(18, 117)(19, 123)(20, 111)(21, 114)(22, 125)(23, 112)(24, 127)(25, 113)(26, 128)(27, 115)(28, 126)(29, 118)(30, 124)(31, 120)(32, 122)(33, 135)(34, 137)(35, 133)(36, 139)(37, 131)(38, 140)(39, 129)(40, 142)(41, 130)(42, 141)(43, 132)(44, 134)(45, 138)(46, 136)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 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 E5.259
Graph:: bipartite
	v = 28 e = 96 f = 60
	degree seq :: [ 4^24, 24^4 ]

E5.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ 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)^12 ]
Map:: polytopal
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 13, 61, 8, 56)(5, 53, 11, 59, 14, 62, 7, 55)(10, 58, 16, 64, 21, 69, 17, 65)(12, 60, 15, 63, 22, 70, 19, 67)(18, 66, 25, 73, 29, 77, 24, 72)(20, 68, 27, 75, 30, 78, 23, 71)(26, 74, 32, 80, 37, 85, 33, 81)(28, 76, 31, 79, 38, 86, 35, 83)(34, 82, 41, 89, 44, 92, 40, 88)(36, 84, 43, 91, 45, 93, 39, 87)(42, 90, 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, 107)(5, 97)(6, 109)(7, 111)(8, 98)(9, 100)(10, 114)(11, 115)(12, 101)(13, 117)(14, 102)(15, 119)(16, 104)(17, 105)(18, 122)(19, 123)(20, 108)(21, 125)(22, 110)(23, 127)(24, 112)(25, 113)(26, 130)(27, 131)(28, 116)(29, 133)(30, 118)(31, 135)(32, 120)(33, 121)(34, 138)(35, 139)(36, 124)(37, 140)(38, 126)(39, 142)(40, 128)(41, 129)(42, 132)(43, 143)(44, 144)(45, 134)(46, 136)(47, 137)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E5.258
Graph:: simple bipartite
	v = 60 e = 96 f = 28
	degree seq :: [ 2^48, 8^12 ]

E5.260 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 5})
Quotient :: edge
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1^-1)^3, (T1 * T2^-2)^2, (T2^-1 * T1^-1)^3, (T2 * T1^-1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 15, 5)(2, 6, 17, 21, 7)(4, 11, 28, 31, 12)(8, 22, 41, 34, 23)(10, 25, 13, 32, 26)(14, 33, 24, 35, 16)(18, 37, 19, 39, 38)(20, 40, 36, 47, 27)(29, 48, 30, 49, 42)(43, 56, 50, 57, 44)(45, 52, 46, 58, 51)(53, 59, 54, 60, 55)(61, 62, 64)(63, 68, 70)(65, 73, 74)(66, 76, 78)(67, 79, 80)(69, 84, 81)(71, 87, 89)(72, 90, 82)(75, 88, 94)(77, 96, 91)(83, 102, 103)(85, 104, 105)(86, 106, 95)(92, 101, 110)(93, 111, 99)(97, 112, 113)(98, 114, 107)(100, 115, 109)(108, 119, 117)(116, 120, 118)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6^3 ), ( 6^5 ) }
Outer automorphisms :: reflexible
Dual of E5.261
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 60 f = 20
	degree seq :: [ 3^20, 5^12 ]

E5.261 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 5})
Quotient :: loop
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1 * T2^-1)^2, (T2^-1 * T1 * T2^-1 * T1^-1)^2, (T2 * T1^-1)^5, (T2^-1 * T1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 3, 63, 5, 65)(2, 62, 6, 66, 7, 67)(4, 64, 10, 70, 11, 71)(8, 68, 18, 78, 19, 79)(9, 69, 20, 80, 21, 81)(12, 72, 26, 86, 27, 87)(13, 73, 28, 88, 29, 89)(14, 74, 30, 90, 31, 91)(15, 75, 32, 92, 33, 93)(16, 76, 34, 94, 35, 95)(17, 77, 36, 96, 37, 97)(22, 82, 44, 104, 45, 105)(23, 83, 46, 106, 39, 99)(24, 84, 47, 107, 41, 101)(25, 85, 48, 108, 49, 109)(38, 98, 54, 114, 53, 113)(40, 100, 58, 118, 50, 110)(42, 102, 56, 116, 51, 111)(43, 103, 59, 119, 52, 112)(55, 115, 60, 120, 57, 117)
	L = (1, 62)(2, 64)(3, 68)(4, 61)(5, 72)(6, 74)(7, 76)(8, 69)(9, 63)(10, 82)(11, 84)(12, 73)(13, 65)(14, 75)(15, 66)(16, 77)(17, 67)(18, 98)(19, 99)(20, 101)(21, 103)(22, 83)(23, 70)(24, 85)(25, 71)(26, 108)(27, 111)(28, 112)(29, 104)(30, 114)(31, 81)(32, 87)(33, 115)(34, 88)(35, 116)(36, 117)(37, 78)(38, 97)(39, 100)(40, 79)(41, 102)(42, 80)(43, 91)(44, 113)(45, 93)(46, 95)(47, 96)(48, 110)(49, 90)(50, 86)(51, 92)(52, 94)(53, 89)(54, 109)(55, 105)(56, 106)(57, 107)(58, 120)(59, 118)(60, 119)
	local type(s) :: { ( 3, 5, 3, 5, 3, 5 ) }
Outer automorphisms :: reflexible
Dual of E5.260
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 20 e = 60 f = 32
	degree seq :: [ 6^20 ]

E5.262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^5, (Y1 * Y2^-2)^2, (Y3^-1 * Y1^-1)^3, Y2^2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 61, 2, 62, 4, 64)(3, 63, 8, 68, 10, 70)(5, 65, 13, 73, 14, 74)(6, 66, 16, 76, 18, 78)(7, 67, 19, 79, 20, 80)(9, 69, 24, 84, 21, 81)(11, 71, 27, 87, 29, 89)(12, 72, 30, 90, 22, 82)(15, 75, 28, 88, 34, 94)(17, 77, 36, 96, 31, 91)(23, 83, 42, 102, 43, 103)(25, 85, 44, 104, 45, 105)(26, 86, 46, 106, 35, 95)(32, 92, 41, 101, 50, 110)(33, 93, 51, 111, 39, 99)(37, 97, 52, 112, 53, 113)(38, 98, 54, 114, 47, 107)(40, 100, 55, 115, 49, 109)(48, 108, 59, 119, 57, 117)(56, 116, 60, 120, 58, 118)(121, 181, 123, 183, 129, 189, 135, 195, 125, 185)(122, 182, 126, 186, 137, 197, 141, 201, 127, 187)(124, 184, 131, 191, 148, 208, 151, 211, 132, 192)(128, 188, 142, 202, 161, 221, 154, 214, 143, 203)(130, 190, 145, 205, 133, 193, 152, 212, 146, 206)(134, 194, 153, 213, 144, 204, 155, 215, 136, 196)(138, 198, 157, 217, 139, 199, 159, 219, 158, 218)(140, 200, 160, 220, 156, 216, 167, 227, 147, 207)(149, 209, 168, 228, 150, 210, 169, 229, 162, 222)(163, 223, 176, 236, 170, 230, 177, 237, 164, 224)(165, 225, 172, 232, 166, 226, 178, 238, 171, 231)(173, 233, 179, 239, 174, 234, 180, 240, 175, 235)
	L = (1, 123)(2, 126)(3, 129)(4, 131)(5, 121)(6, 137)(7, 122)(8, 142)(9, 135)(10, 145)(11, 148)(12, 124)(13, 152)(14, 153)(15, 125)(16, 134)(17, 141)(18, 157)(19, 159)(20, 160)(21, 127)(22, 161)(23, 128)(24, 155)(25, 133)(26, 130)(27, 140)(28, 151)(29, 168)(30, 169)(31, 132)(32, 146)(33, 144)(34, 143)(35, 136)(36, 167)(37, 139)(38, 138)(39, 158)(40, 156)(41, 154)(42, 149)(43, 176)(44, 163)(45, 172)(46, 178)(47, 147)(48, 150)(49, 162)(50, 177)(51, 165)(52, 166)(53, 179)(54, 180)(55, 173)(56, 170)(57, 164)(58, 171)(59, 174)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.263
Graph:: bipartite
	v = 32 e = 120 f = 80
	degree seq :: [ 6^20, 10^12 ]

E5.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y2^-1 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3^-2 * Y2^-1, (Y3^-1 * Y2^-1)^5, (Y3^-1 * Y1^-1)^5 ]
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, 124, 184)(123, 183, 128, 188, 130, 190)(125, 185, 133, 193, 134, 194)(126, 186, 136, 196, 138, 198)(127, 187, 139, 199, 140, 200)(129, 189, 144, 204, 145, 205)(131, 191, 147, 207, 149, 209)(132, 192, 150, 210, 151, 211)(135, 195, 154, 214, 137, 197)(141, 201, 160, 220, 148, 208)(142, 202, 161, 221, 162, 222)(143, 203, 163, 223, 164, 224)(146, 206, 165, 225, 156, 216)(152, 212, 169, 229, 170, 230)(153, 213, 171, 231, 158, 218)(155, 215, 172, 232, 173, 233)(157, 217, 174, 234, 167, 227)(159, 219, 175, 235, 168, 228)(166, 226, 179, 239, 176, 236)(177, 237, 180, 240, 178, 238)
	L = (1, 123)(2, 126)(3, 129)(4, 131)(5, 121)(6, 137)(7, 122)(8, 142)(9, 135)(10, 139)(11, 148)(12, 124)(13, 152)(14, 153)(15, 125)(16, 155)(17, 141)(18, 150)(19, 158)(20, 159)(21, 127)(22, 134)(23, 128)(24, 132)(25, 163)(26, 130)(27, 166)(28, 144)(29, 133)(30, 168)(31, 169)(32, 145)(33, 143)(34, 146)(35, 140)(36, 136)(37, 138)(38, 154)(39, 156)(40, 157)(41, 176)(42, 165)(43, 149)(44, 177)(45, 178)(46, 151)(47, 147)(48, 160)(49, 167)(50, 161)(51, 172)(52, 162)(53, 174)(54, 180)(55, 179)(56, 164)(57, 170)(58, 171)(59, 173)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 10 ), ( 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E5.262
Graph:: simple bipartite
	v = 80 e = 120 f = 32
	degree seq :: [ 2^60, 6^20 ]

E5.264 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2)^4, T1^8, (T2 * T1^-4)^2, T2 * T1 * T2 * T1^3 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 48, 29, 54, 61, 59, 34)(17, 35, 49, 63, 57, 39, 53, 28)(32, 52, 62, 60, 36, 55, 64, 58)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 51)(35, 45)(37, 54)(38, 58)(40, 60)(41, 59)(42, 53)(46, 61)(47, 62)(50, 64)(56, 63)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.265
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 32 f = 16
	degree seq :: [ 8^8 ]

E5.265 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 32, 25)(15, 26, 33, 27)(21, 35, 29, 36)(22, 37, 30, 38)(23, 34, 44, 39)(40, 49, 42, 50)(41, 51, 43, 52)(45, 53, 47, 54)(46, 55, 48, 56)(57, 61, 59, 63)(58, 62, 60, 64)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 40)(25, 41)(26, 42)(27, 43)(28, 39)(31, 44)(35, 45)(36, 46)(37, 47)(38, 48)(49, 57)(50, 58)(51, 59)(52, 60)(53, 61)(54, 62)(55, 63)(56, 64)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.264
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 32 f = 8
	degree seq :: [ 4^16 ]

E5.266 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 43, 27)(20, 34, 48, 35)(23, 39, 28, 40)(25, 41, 30, 42)(31, 44, 36, 45)(33, 46, 38, 47)(49, 57, 51, 58)(50, 59, 52, 60)(53, 61, 55, 62)(54, 63, 56, 64)(65, 66)(67, 71)(68, 73)(69, 74)(70, 76)(72, 79)(75, 84)(77, 87)(78, 89)(80, 92)(81, 94)(82, 95)(83, 97)(85, 100)(86, 102)(88, 98)(90, 96)(91, 101)(93, 99)(103, 113)(104, 114)(105, 115)(106, 116)(107, 112)(108, 117)(109, 118)(110, 119)(111, 120)(121, 125)(122, 127)(123, 126)(124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E5.270
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 64 f = 8
	degree seq :: [ 2^32, 4^16 ]

E5.267 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-3 * T2 * T1, T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1^-2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1, T2^8, (T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 32, 14, 5)(2, 7, 17, 38, 56, 44, 20, 8)(4, 12, 27, 49, 59, 45, 22, 9)(6, 15, 33, 52, 62, 53, 36, 16)(11, 26, 35, 31, 51, 60, 46, 23)(13, 29, 50, 61, 47, 25, 34, 30)(18, 40, 21, 43, 58, 63, 54, 37)(19, 41, 57, 64, 55, 39, 28, 42)(65, 66, 70, 68)(67, 73, 85, 75)(69, 77, 82, 71)(72, 83, 98, 79)(74, 87, 97, 89)(76, 80, 99, 92)(78, 95, 100, 93)(81, 101, 91, 103)(84, 107, 86, 105)(88, 111, 122, 108)(90, 104, 94, 106)(96, 113, 118, 115)(102, 119, 114, 117)(109, 116, 110, 121)(112, 120, 126, 123)(124, 127, 125, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.271
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 32
	degree seq :: [ 4^16, 8^8 ]

E5.268 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, (T2 * T1^-4)^2, T2 * T1 * T2 * T1^3 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 51)(35, 45)(37, 54)(38, 58)(40, 60)(41, 59)(42, 53)(46, 61)(47, 62)(50, 64)(56, 63)(65, 66, 69, 75, 87, 86, 74, 68)(67, 71, 79, 95, 108, 101, 82, 72)(70, 77, 91, 115, 107, 120, 94, 78)(73, 83, 102, 110, 88, 109, 104, 84)(76, 89, 111, 106, 85, 105, 114, 90)(80, 97, 112, 93, 118, 125, 123, 98)(81, 99, 113, 127, 121, 103, 117, 92)(96, 116, 126, 124, 100, 119, 128, 122)
	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 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E5.269
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 64 f = 16
	degree seq :: [ 2^32, 8^8 ]

E5.269 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 4, 68)(2, 66, 5, 69, 11, 75, 6, 70)(7, 71, 13, 77, 24, 88, 14, 78)(9, 73, 16, 80, 29, 93, 17, 81)(10, 74, 18, 82, 32, 96, 19, 83)(12, 76, 21, 85, 37, 101, 22, 86)(15, 79, 26, 90, 43, 107, 27, 91)(20, 84, 34, 98, 48, 112, 35, 99)(23, 87, 39, 103, 28, 92, 40, 104)(25, 89, 41, 105, 30, 94, 42, 106)(31, 95, 44, 108, 36, 100, 45, 109)(33, 97, 46, 110, 38, 102, 47, 111)(49, 113, 57, 121, 51, 115, 58, 122)(50, 114, 59, 123, 52, 116, 60, 124)(53, 117, 61, 125, 55, 119, 62, 126)(54, 118, 63, 127, 56, 120, 64, 128)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 74)(6, 76)(7, 67)(8, 79)(9, 68)(10, 69)(11, 84)(12, 70)(13, 87)(14, 89)(15, 72)(16, 92)(17, 94)(18, 95)(19, 97)(20, 75)(21, 100)(22, 102)(23, 77)(24, 98)(25, 78)(26, 96)(27, 101)(28, 80)(29, 99)(30, 81)(31, 82)(32, 90)(33, 83)(34, 88)(35, 93)(36, 85)(37, 91)(38, 86)(39, 113)(40, 114)(41, 115)(42, 116)(43, 112)(44, 117)(45, 118)(46, 119)(47, 120)(48, 107)(49, 103)(50, 104)(51, 105)(52, 106)(53, 108)(54, 109)(55, 110)(56, 111)(57, 125)(58, 127)(59, 126)(60, 128)(61, 121)(62, 123)(63, 122)(64, 124)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.268
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 40
	degree seq :: [ 8^16 ]

E5.270 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-3 * T2 * T1, T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1^-2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1, T2^8, (T2 * T1^-1)^4 ]
Map::
	R = (1, 65, 3, 67, 10, 74, 24, 88, 48, 112, 32, 96, 14, 78, 5, 69)(2, 66, 7, 71, 17, 81, 38, 102, 56, 120, 44, 108, 20, 84, 8, 72)(4, 68, 12, 76, 27, 91, 49, 113, 59, 123, 45, 109, 22, 86, 9, 73)(6, 70, 15, 79, 33, 97, 52, 116, 62, 126, 53, 117, 36, 100, 16, 80)(11, 75, 26, 90, 35, 99, 31, 95, 51, 115, 60, 124, 46, 110, 23, 87)(13, 77, 29, 93, 50, 114, 61, 125, 47, 111, 25, 89, 34, 98, 30, 94)(18, 82, 40, 104, 21, 85, 43, 107, 58, 122, 63, 127, 54, 118, 37, 101)(19, 83, 41, 105, 57, 121, 64, 128, 55, 119, 39, 103, 28, 92, 42, 106)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 77)(6, 68)(7, 69)(8, 83)(9, 85)(10, 87)(11, 67)(12, 80)(13, 82)(14, 95)(15, 72)(16, 99)(17, 101)(18, 71)(19, 98)(20, 107)(21, 75)(22, 105)(23, 97)(24, 111)(25, 74)(26, 104)(27, 103)(28, 76)(29, 78)(30, 106)(31, 100)(32, 113)(33, 89)(34, 79)(35, 92)(36, 93)(37, 91)(38, 119)(39, 81)(40, 94)(41, 84)(42, 90)(43, 86)(44, 88)(45, 116)(46, 121)(47, 122)(48, 120)(49, 118)(50, 117)(51, 96)(52, 110)(53, 102)(54, 115)(55, 114)(56, 126)(57, 109)(58, 108)(59, 112)(60, 127)(61, 128)(62, 123)(63, 125)(64, 124)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.266
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 48
	degree seq :: [ 16^8 ]

E5.271 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, (T2 * T1^-4)^2, T2 * T1 * T2 * T1^3 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67)(2, 66, 6, 70)(4, 68, 9, 73)(5, 69, 12, 76)(7, 71, 16, 80)(8, 72, 17, 81)(10, 74, 21, 85)(11, 75, 24, 88)(13, 77, 28, 92)(14, 78, 29, 93)(15, 79, 32, 96)(18, 82, 36, 100)(19, 83, 39, 103)(20, 84, 33, 97)(22, 86, 43, 107)(23, 87, 44, 108)(25, 89, 48, 112)(26, 90, 49, 113)(27, 91, 52, 116)(30, 94, 55, 119)(31, 95, 57, 121)(34, 98, 51, 115)(35, 99, 45, 109)(37, 101, 54, 118)(38, 102, 58, 122)(40, 104, 60, 124)(41, 105, 59, 123)(42, 106, 53, 117)(46, 110, 61, 125)(47, 111, 62, 126)(50, 114, 64, 128)(56, 120, 63, 127)
	L = (1, 66)(2, 69)(3, 71)(4, 65)(5, 75)(6, 77)(7, 79)(8, 67)(9, 83)(10, 68)(11, 87)(12, 89)(13, 91)(14, 70)(15, 95)(16, 97)(17, 99)(18, 72)(19, 102)(20, 73)(21, 105)(22, 74)(23, 86)(24, 109)(25, 111)(26, 76)(27, 115)(28, 81)(29, 118)(30, 78)(31, 108)(32, 116)(33, 112)(34, 80)(35, 113)(36, 119)(37, 82)(38, 110)(39, 117)(40, 84)(41, 114)(42, 85)(43, 120)(44, 101)(45, 104)(46, 88)(47, 106)(48, 93)(49, 127)(50, 90)(51, 107)(52, 126)(53, 92)(54, 125)(55, 128)(56, 94)(57, 103)(58, 96)(59, 98)(60, 100)(61, 123)(62, 124)(63, 121)(64, 122)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.267
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 24
	degree seq :: [ 4^32 ]

E5.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 15, 79)(11, 75, 20, 84)(13, 77, 23, 87)(14, 78, 25, 89)(16, 80, 28, 92)(17, 81, 30, 94)(18, 82, 31, 95)(19, 83, 33, 97)(21, 85, 36, 100)(22, 86, 38, 102)(24, 88, 34, 98)(26, 90, 32, 96)(27, 91, 37, 101)(29, 93, 35, 99)(39, 103, 49, 113)(40, 104, 50, 114)(41, 105, 51, 115)(42, 106, 52, 116)(43, 107, 48, 112)(44, 108, 53, 117)(45, 109, 54, 118)(46, 110, 55, 119)(47, 111, 56, 120)(57, 121, 61, 125)(58, 122, 63, 127)(59, 123, 62, 126)(60, 124, 64, 128)(129, 193, 131, 195, 136, 200, 132, 196)(130, 194, 133, 197, 139, 203, 134, 198)(135, 199, 141, 205, 152, 216, 142, 206)(137, 201, 144, 208, 157, 221, 145, 209)(138, 202, 146, 210, 160, 224, 147, 211)(140, 204, 149, 213, 165, 229, 150, 214)(143, 207, 154, 218, 171, 235, 155, 219)(148, 212, 162, 226, 176, 240, 163, 227)(151, 215, 167, 231, 156, 220, 168, 232)(153, 217, 169, 233, 158, 222, 170, 234)(159, 223, 172, 236, 164, 228, 173, 237)(161, 225, 174, 238, 166, 230, 175, 239)(177, 241, 185, 249, 179, 243, 186, 250)(178, 242, 187, 251, 180, 244, 188, 252)(181, 245, 189, 253, 183, 247, 190, 254)(182, 246, 191, 255, 184, 248, 192, 256)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 138)(6, 140)(7, 131)(8, 143)(9, 132)(10, 133)(11, 148)(12, 134)(13, 151)(14, 153)(15, 136)(16, 156)(17, 158)(18, 159)(19, 161)(20, 139)(21, 164)(22, 166)(23, 141)(24, 162)(25, 142)(26, 160)(27, 165)(28, 144)(29, 163)(30, 145)(31, 146)(32, 154)(33, 147)(34, 152)(35, 157)(36, 149)(37, 155)(38, 150)(39, 177)(40, 178)(41, 179)(42, 180)(43, 176)(44, 181)(45, 182)(46, 183)(47, 184)(48, 171)(49, 167)(50, 168)(51, 169)(52, 170)(53, 172)(54, 173)(55, 174)(56, 175)(57, 189)(58, 191)(59, 190)(60, 192)(61, 185)(62, 187)(63, 186)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.275
Graph:: bipartite
	v = 48 e = 128 f = 72
	degree seq :: [ 4^32, 8^16 ]

E5.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y2 * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-3 * Y2 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1^-2, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-1, (Y2^-1 * Y1)^4, Y2^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 21, 85, 11, 75)(5, 69, 13, 77, 18, 82, 7, 71)(8, 72, 19, 83, 34, 98, 15, 79)(10, 74, 23, 87, 33, 97, 25, 89)(12, 76, 16, 80, 35, 99, 28, 92)(14, 78, 31, 95, 36, 100, 29, 93)(17, 81, 37, 101, 27, 91, 39, 103)(20, 84, 43, 107, 22, 86, 41, 105)(24, 88, 47, 111, 58, 122, 44, 108)(26, 90, 40, 104, 30, 94, 42, 106)(32, 96, 49, 113, 54, 118, 51, 115)(38, 102, 55, 119, 50, 114, 53, 117)(45, 109, 52, 116, 46, 110, 57, 121)(48, 112, 56, 120, 62, 126, 59, 123)(60, 124, 63, 127, 61, 125, 64, 128)(129, 193, 131, 195, 138, 202, 152, 216, 176, 240, 160, 224, 142, 206, 133, 197)(130, 194, 135, 199, 145, 209, 166, 230, 184, 248, 172, 236, 148, 212, 136, 200)(132, 196, 140, 204, 155, 219, 177, 241, 187, 251, 173, 237, 150, 214, 137, 201)(134, 198, 143, 207, 161, 225, 180, 244, 190, 254, 181, 245, 164, 228, 144, 208)(139, 203, 154, 218, 163, 227, 159, 223, 179, 243, 188, 252, 174, 238, 151, 215)(141, 205, 157, 221, 178, 242, 189, 253, 175, 239, 153, 217, 162, 226, 158, 222)(146, 210, 168, 232, 149, 213, 171, 235, 186, 250, 191, 255, 182, 246, 165, 229)(147, 211, 169, 233, 185, 249, 192, 256, 183, 247, 167, 231, 156, 220, 170, 234)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 143)(7, 145)(8, 130)(9, 132)(10, 152)(11, 154)(12, 155)(13, 157)(14, 133)(15, 161)(16, 134)(17, 166)(18, 168)(19, 169)(20, 136)(21, 171)(22, 137)(23, 139)(24, 176)(25, 162)(26, 163)(27, 177)(28, 170)(29, 178)(30, 141)(31, 179)(32, 142)(33, 180)(34, 158)(35, 159)(36, 144)(37, 146)(38, 184)(39, 156)(40, 149)(41, 185)(42, 147)(43, 186)(44, 148)(45, 150)(46, 151)(47, 153)(48, 160)(49, 187)(50, 189)(51, 188)(52, 190)(53, 164)(54, 165)(55, 167)(56, 172)(57, 192)(58, 191)(59, 173)(60, 174)(61, 175)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E5.274
Graph:: bipartite
	v = 24 e = 128 f = 96
	degree seq :: [ 8^16, 16^8 ]

E5.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3^3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y2 * Y3^4 * Y2 * Y3^-3, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194)(131, 195, 135, 199)(132, 196, 137, 201)(133, 197, 139, 203)(134, 198, 141, 205)(136, 200, 145, 209)(138, 202, 149, 213)(140, 204, 153, 217)(142, 206, 157, 221)(143, 207, 156, 220)(144, 208, 160, 224)(146, 210, 164, 228)(147, 211, 166, 230)(148, 212, 151, 215)(150, 214, 171, 235)(152, 216, 173, 237)(154, 218, 177, 241)(155, 219, 179, 243)(158, 222, 184, 248)(159, 223, 175, 239)(161, 225, 182, 246)(162, 226, 172, 236)(163, 227, 180, 244)(165, 229, 178, 242)(167, 231, 176, 240)(168, 232, 183, 247)(169, 233, 174, 238)(170, 234, 181, 245)(185, 249, 192, 256)(186, 250, 190, 254)(187, 251, 191, 255)(188, 252, 189, 253)
	L = (1, 131)(2, 133)(3, 136)(4, 129)(5, 140)(6, 130)(7, 143)(8, 146)(9, 147)(10, 132)(11, 151)(12, 154)(13, 155)(14, 134)(15, 159)(16, 135)(17, 162)(18, 165)(19, 167)(20, 137)(21, 169)(22, 138)(23, 172)(24, 139)(25, 175)(26, 178)(27, 180)(28, 141)(29, 182)(30, 142)(31, 173)(32, 184)(33, 144)(34, 186)(35, 145)(36, 179)(37, 150)(38, 181)(39, 188)(40, 148)(41, 187)(42, 149)(43, 185)(44, 160)(45, 171)(46, 152)(47, 190)(48, 153)(49, 166)(50, 158)(51, 168)(52, 192)(53, 156)(54, 191)(55, 157)(56, 189)(57, 161)(58, 170)(59, 163)(60, 164)(61, 174)(62, 183)(63, 176)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.273
Graph:: simple bipartite
	v = 96 e = 128 f = 24
	degree seq :: [ 2^64, 4^32 ]

E5.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^4, Y1^8, (Y3^-1 * Y1^-1)^4, Y3 * Y1^-4 * Y3^-1 * Y1^-4, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^3 * Y3^-1, Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 65, 2, 66, 5, 69, 11, 75, 23, 87, 22, 86, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 31, 95, 44, 108, 37, 101, 18, 82, 8, 72)(6, 70, 13, 77, 27, 91, 51, 115, 43, 107, 56, 120, 30, 94, 14, 78)(9, 73, 19, 83, 38, 102, 46, 110, 24, 88, 45, 109, 40, 104, 20, 84)(12, 76, 25, 89, 47, 111, 42, 106, 21, 85, 41, 105, 50, 114, 26, 90)(16, 80, 33, 97, 48, 112, 29, 93, 54, 118, 61, 125, 59, 123, 34, 98)(17, 81, 35, 99, 49, 113, 63, 127, 57, 121, 39, 103, 53, 117, 28, 92)(32, 96, 52, 116, 62, 126, 60, 124, 36, 100, 55, 119, 64, 128, 58, 122)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 144)(8, 145)(9, 132)(10, 149)(11, 152)(12, 133)(13, 156)(14, 157)(15, 160)(16, 135)(17, 136)(18, 164)(19, 167)(20, 161)(21, 138)(22, 171)(23, 172)(24, 139)(25, 176)(26, 177)(27, 180)(28, 141)(29, 142)(30, 183)(31, 185)(32, 143)(33, 148)(34, 179)(35, 173)(36, 146)(37, 182)(38, 186)(39, 147)(40, 188)(41, 187)(42, 181)(43, 150)(44, 151)(45, 163)(46, 189)(47, 190)(48, 153)(49, 154)(50, 192)(51, 162)(52, 155)(53, 170)(54, 165)(55, 158)(56, 191)(57, 159)(58, 166)(59, 169)(60, 168)(61, 174)(62, 175)(63, 184)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.272
Graph:: simple bipartite
	v = 72 e = 128 f = 48
	degree seq :: [ 2^64, 16^8 ]

E5.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4, Y2^8, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^3 * Y1 * Y2 * Y1 * Y2^-1 * 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, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 28, 92)(16, 80, 32, 96)(18, 82, 36, 100)(19, 83, 38, 102)(20, 84, 23, 87)(22, 86, 43, 107)(24, 88, 45, 109)(26, 90, 49, 113)(27, 91, 51, 115)(30, 94, 56, 120)(31, 95, 47, 111)(33, 97, 54, 118)(34, 98, 44, 108)(35, 99, 52, 116)(37, 101, 50, 114)(39, 103, 48, 112)(40, 104, 55, 119)(41, 105, 46, 110)(42, 106, 53, 117)(57, 121, 64, 128)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 61, 125)(129, 193, 131, 195, 136, 200, 146, 210, 165, 229, 150, 214, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 154, 218, 178, 242, 158, 222, 142, 206, 134, 198)(135, 199, 143, 207, 159, 223, 173, 237, 171, 235, 185, 249, 161, 225, 144, 208)(137, 201, 147, 211, 167, 231, 188, 252, 164, 228, 179, 243, 168, 232, 148, 212)(139, 203, 151, 215, 172, 236, 160, 224, 184, 248, 189, 253, 174, 238, 152, 216)(141, 205, 155, 219, 180, 244, 192, 256, 177, 241, 166, 230, 181, 245, 156, 220)(145, 209, 162, 226, 186, 250, 170, 234, 149, 213, 169, 233, 187, 251, 163, 227)(153, 217, 175, 239, 190, 254, 183, 247, 157, 221, 182, 246, 191, 255, 176, 240)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 156)(16, 160)(17, 136)(18, 164)(19, 166)(20, 151)(21, 138)(22, 171)(23, 148)(24, 173)(25, 140)(26, 177)(27, 179)(28, 143)(29, 142)(30, 184)(31, 175)(32, 144)(33, 182)(34, 172)(35, 180)(36, 146)(37, 178)(38, 147)(39, 176)(40, 183)(41, 174)(42, 181)(43, 150)(44, 162)(45, 152)(46, 169)(47, 159)(48, 167)(49, 154)(50, 165)(51, 155)(52, 163)(53, 170)(54, 161)(55, 168)(56, 158)(57, 192)(58, 190)(59, 191)(60, 189)(61, 188)(62, 186)(63, 187)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.277
Graph:: bipartite
	v = 40 e = 128 f = 80
	degree seq :: [ 4^32, 16^8 ]

E5.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1^-2, Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^2 * Y1^-1, (Y3^-1 * Y1)^4, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 21, 85, 11, 75)(5, 69, 13, 77, 18, 82, 7, 71)(8, 72, 19, 83, 34, 98, 15, 79)(10, 74, 23, 87, 33, 97, 25, 89)(12, 76, 16, 80, 35, 99, 28, 92)(14, 78, 31, 95, 36, 100, 29, 93)(17, 81, 37, 101, 27, 91, 39, 103)(20, 84, 43, 107, 22, 86, 41, 105)(24, 88, 47, 111, 58, 122, 44, 108)(26, 90, 40, 104, 30, 94, 42, 106)(32, 96, 49, 113, 54, 118, 51, 115)(38, 102, 55, 119, 50, 114, 53, 117)(45, 109, 52, 116, 46, 110, 57, 121)(48, 112, 56, 120, 62, 126, 59, 123)(60, 124, 63, 127, 61, 125, 64, 128)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 143)(7, 145)(8, 130)(9, 132)(10, 152)(11, 154)(12, 155)(13, 157)(14, 133)(15, 161)(16, 134)(17, 166)(18, 168)(19, 169)(20, 136)(21, 171)(22, 137)(23, 139)(24, 176)(25, 162)(26, 163)(27, 177)(28, 170)(29, 178)(30, 141)(31, 179)(32, 142)(33, 180)(34, 158)(35, 159)(36, 144)(37, 146)(38, 184)(39, 156)(40, 149)(41, 185)(42, 147)(43, 186)(44, 148)(45, 150)(46, 151)(47, 153)(48, 160)(49, 187)(50, 189)(51, 188)(52, 190)(53, 164)(54, 165)(55, 167)(56, 172)(57, 192)(58, 191)(59, 173)(60, 174)(61, 175)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.276
Graph:: simple bipartite
	v = 80 e = 128 f = 40
	degree seq :: [ 2^64, 8^16 ]

E5.278 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2)^4, T1^8, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-4)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 42, 36, 18, 8)(6, 13, 27, 49, 41, 52, 30, 14)(9, 19, 37, 44, 24, 43, 38, 20)(12, 25, 45, 40, 21, 39, 48, 26)(16, 33, 55, 63, 58, 60, 46, 29)(17, 34, 56, 64, 53, 59, 47, 28)(32, 51, 61, 57, 35, 50, 62, 54)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 34)(20, 33)(22, 41)(23, 42)(25, 46)(26, 47)(27, 50)(30, 51)(31, 53)(36, 58)(37, 57)(38, 54)(39, 55)(40, 56)(43, 59)(44, 60)(45, 61)(48, 62)(49, 63)(52, 64)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.279
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 32 f = 16
	degree seq :: [ 8^8 ]

E5.279 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T2 * T1^-1 * T2 * T1)^2, (T2 * T1^-2)^4, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 27, 17)(10, 18, 29, 19)(14, 24, 34, 22)(15, 25, 38, 26)(21, 33, 44, 31)(23, 35, 42, 36)(28, 30, 43, 41)(32, 45, 40, 46)(37, 51, 56, 50)(39, 49, 55, 53)(47, 59, 54, 58)(48, 57, 52, 60)(61, 63, 62, 64)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 25)(17, 28)(18, 30)(19, 31)(20, 32)(24, 37)(26, 39)(27, 40)(29, 42)(33, 47)(34, 48)(35, 49)(36, 50)(38, 52)(41, 54)(43, 55)(44, 56)(45, 57)(46, 58)(51, 61)(53, 62)(59, 63)(60, 64)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E5.278
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 32 f = 8
	degree seq :: [ 4^16 ]

E5.280 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T1 * T2^-1 * T1 * T2)^2, (T2^-2 * T1)^4, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 27, 17)(10, 18, 30, 19)(12, 21, 33, 22)(15, 25, 39, 26)(20, 31, 46, 32)(23, 35, 50, 36)(28, 38, 53, 41)(29, 42, 56, 43)(34, 45, 59, 48)(37, 51, 40, 52)(44, 57, 47, 58)(49, 61, 54, 62)(55, 63, 60, 64)(65, 66)(67, 71)(68, 73)(69, 74)(70, 76)(72, 79)(75, 84)(77, 87)(78, 83)(80, 85)(81, 92)(82, 93)(86, 98)(88, 101)(89, 102)(90, 100)(91, 104)(94, 108)(95, 109)(96, 107)(97, 111)(99, 113)(103, 110)(105, 118)(106, 119)(112, 124)(114, 120)(115, 121)(116, 126)(117, 123)(122, 128)(125, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E5.284
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 64 f = 8
	degree seq :: [ 2^32, 4^16 ]

E5.281 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^-2, T2^8, (T2^3 * T1^-1)^2, (T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 32, 14, 5)(2, 7, 17, 38, 59, 44, 20, 8)(4, 12, 27, 51, 63, 46, 22, 9)(6, 15, 33, 54, 64, 57, 36, 16)(11, 26, 50, 31, 53, 56, 35, 23)(13, 29, 34, 55, 47, 25, 49, 30)(18, 40, 61, 43, 62, 45, 21, 37)(19, 41, 28, 52, 58, 39, 60, 42)(65, 66, 70, 68)(67, 73, 85, 75)(69, 77, 82, 71)(72, 83, 98, 79)(74, 87, 100, 89)(76, 80, 99, 92)(78, 95, 97, 93)(81, 101, 86, 103)(84, 107, 91, 105)(88, 111, 126, 108)(90, 109, 119, 106)(94, 116, 120, 104)(96, 115, 125, 117)(102, 122, 113, 121)(110, 118, 114, 124)(112, 123, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.285
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 32
	degree seq :: [ 4^16, 8^8 ]

E5.282 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-4)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 34)(20, 33)(22, 41)(23, 42)(25, 46)(26, 47)(27, 50)(30, 51)(31, 53)(36, 58)(37, 57)(38, 54)(39, 55)(40, 56)(43, 59)(44, 60)(45, 61)(48, 62)(49, 63)(52, 64)(65, 66, 69, 75, 87, 86, 74, 68)(67, 71, 79, 95, 106, 100, 82, 72)(70, 77, 91, 113, 105, 116, 94, 78)(73, 83, 101, 108, 88, 107, 102, 84)(76, 89, 109, 104, 85, 103, 112, 90)(80, 97, 119, 127, 122, 124, 110, 93)(81, 98, 120, 128, 117, 123, 111, 92)(96, 115, 125, 121, 99, 114, 126, 118)
	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 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E5.283
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 64 f = 16
	degree seq :: [ 2^32, 8^8 ]

E5.283 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T1 * T2^-1 * T1 * T2)^2, (T2^-2 * T1)^4, (T2^-1 * T1)^8 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 4, 68)(2, 66, 5, 69, 11, 75, 6, 70)(7, 71, 13, 77, 24, 88, 14, 78)(9, 73, 16, 80, 27, 91, 17, 81)(10, 74, 18, 82, 30, 94, 19, 83)(12, 76, 21, 85, 33, 97, 22, 86)(15, 79, 25, 89, 39, 103, 26, 90)(20, 84, 31, 95, 46, 110, 32, 96)(23, 87, 35, 99, 50, 114, 36, 100)(28, 92, 38, 102, 53, 117, 41, 105)(29, 93, 42, 106, 56, 120, 43, 107)(34, 98, 45, 109, 59, 123, 48, 112)(37, 101, 51, 115, 40, 104, 52, 116)(44, 108, 57, 121, 47, 111, 58, 122)(49, 113, 61, 125, 54, 118, 62, 126)(55, 119, 63, 127, 60, 124, 64, 128)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 74)(6, 76)(7, 67)(8, 79)(9, 68)(10, 69)(11, 84)(12, 70)(13, 87)(14, 83)(15, 72)(16, 85)(17, 92)(18, 93)(19, 78)(20, 75)(21, 80)(22, 98)(23, 77)(24, 101)(25, 102)(26, 100)(27, 104)(28, 81)(29, 82)(30, 108)(31, 109)(32, 107)(33, 111)(34, 86)(35, 113)(36, 90)(37, 88)(38, 89)(39, 110)(40, 91)(41, 118)(42, 119)(43, 96)(44, 94)(45, 95)(46, 103)(47, 97)(48, 124)(49, 99)(50, 120)(51, 121)(52, 126)(53, 123)(54, 105)(55, 106)(56, 114)(57, 115)(58, 128)(59, 117)(60, 112)(61, 127)(62, 116)(63, 125)(64, 122)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.282
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 40
	degree seq :: [ 8^16 ]

E5.284 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^-2, T2^8, (T2^3 * T1^-1)^2, (T2 * T1^-1)^4 ]
Map::
	R = (1, 65, 3, 67, 10, 74, 24, 88, 48, 112, 32, 96, 14, 78, 5, 69)(2, 66, 7, 71, 17, 81, 38, 102, 59, 123, 44, 108, 20, 84, 8, 72)(4, 68, 12, 76, 27, 91, 51, 115, 63, 127, 46, 110, 22, 86, 9, 73)(6, 70, 15, 79, 33, 97, 54, 118, 64, 128, 57, 121, 36, 100, 16, 80)(11, 75, 26, 90, 50, 114, 31, 95, 53, 117, 56, 120, 35, 99, 23, 87)(13, 77, 29, 93, 34, 98, 55, 119, 47, 111, 25, 89, 49, 113, 30, 94)(18, 82, 40, 104, 61, 125, 43, 107, 62, 126, 45, 109, 21, 85, 37, 101)(19, 83, 41, 105, 28, 92, 52, 116, 58, 122, 39, 103, 60, 124, 42, 106)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 77)(6, 68)(7, 69)(8, 83)(9, 85)(10, 87)(11, 67)(12, 80)(13, 82)(14, 95)(15, 72)(16, 99)(17, 101)(18, 71)(19, 98)(20, 107)(21, 75)(22, 103)(23, 100)(24, 111)(25, 74)(26, 109)(27, 105)(28, 76)(29, 78)(30, 116)(31, 97)(32, 115)(33, 93)(34, 79)(35, 92)(36, 89)(37, 86)(38, 122)(39, 81)(40, 94)(41, 84)(42, 90)(43, 91)(44, 88)(45, 119)(46, 118)(47, 126)(48, 123)(49, 121)(50, 124)(51, 125)(52, 120)(53, 96)(54, 114)(55, 106)(56, 104)(57, 102)(58, 113)(59, 128)(60, 110)(61, 117)(62, 108)(63, 112)(64, 127)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.280
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 48
	degree seq :: [ 16^8 ]

E5.285 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-4)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67)(2, 66, 6, 70)(4, 68, 9, 73)(5, 69, 12, 76)(7, 71, 16, 80)(8, 72, 17, 81)(10, 74, 21, 85)(11, 75, 24, 88)(13, 77, 28, 92)(14, 78, 29, 93)(15, 79, 32, 96)(18, 82, 35, 99)(19, 83, 34, 98)(20, 84, 33, 97)(22, 86, 41, 105)(23, 87, 42, 106)(25, 89, 46, 110)(26, 90, 47, 111)(27, 91, 50, 114)(30, 94, 51, 115)(31, 95, 53, 117)(36, 100, 58, 122)(37, 101, 57, 121)(38, 102, 54, 118)(39, 103, 55, 119)(40, 104, 56, 120)(43, 107, 59, 123)(44, 108, 60, 124)(45, 109, 61, 125)(48, 112, 62, 126)(49, 113, 63, 127)(52, 116, 64, 128)
	L = (1, 66)(2, 69)(3, 71)(4, 65)(5, 75)(6, 77)(7, 79)(8, 67)(9, 83)(10, 68)(11, 87)(12, 89)(13, 91)(14, 70)(15, 95)(16, 97)(17, 98)(18, 72)(19, 101)(20, 73)(21, 103)(22, 74)(23, 86)(24, 107)(25, 109)(26, 76)(27, 113)(28, 81)(29, 80)(30, 78)(31, 106)(32, 115)(33, 119)(34, 120)(35, 114)(36, 82)(37, 108)(38, 84)(39, 112)(40, 85)(41, 116)(42, 100)(43, 102)(44, 88)(45, 104)(46, 93)(47, 92)(48, 90)(49, 105)(50, 126)(51, 125)(52, 94)(53, 123)(54, 96)(55, 127)(56, 128)(57, 99)(58, 124)(59, 111)(60, 110)(61, 121)(62, 118)(63, 122)(64, 117)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.281
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 24
	degree seq :: [ 4^32 ]

E5.286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 15, 79)(11, 75, 20, 84)(13, 77, 23, 87)(14, 78, 19, 83)(16, 80, 21, 85)(17, 81, 28, 92)(18, 82, 29, 93)(22, 86, 34, 98)(24, 88, 37, 101)(25, 89, 38, 102)(26, 90, 36, 100)(27, 91, 40, 104)(30, 94, 44, 108)(31, 95, 45, 109)(32, 96, 43, 107)(33, 97, 47, 111)(35, 99, 49, 113)(39, 103, 46, 110)(41, 105, 54, 118)(42, 106, 55, 119)(48, 112, 60, 124)(50, 114, 56, 120)(51, 115, 57, 121)(52, 116, 62, 126)(53, 117, 59, 123)(58, 122, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195, 136, 200, 132, 196)(130, 194, 133, 197, 139, 203, 134, 198)(135, 199, 141, 205, 152, 216, 142, 206)(137, 201, 144, 208, 155, 219, 145, 209)(138, 202, 146, 210, 158, 222, 147, 211)(140, 204, 149, 213, 161, 225, 150, 214)(143, 207, 153, 217, 167, 231, 154, 218)(148, 212, 159, 223, 174, 238, 160, 224)(151, 215, 163, 227, 178, 242, 164, 228)(156, 220, 166, 230, 181, 245, 169, 233)(157, 221, 170, 234, 184, 248, 171, 235)(162, 226, 173, 237, 187, 251, 176, 240)(165, 229, 179, 243, 168, 232, 180, 244)(172, 236, 185, 249, 175, 239, 186, 250)(177, 241, 189, 253, 182, 246, 190, 254)(183, 247, 191, 255, 188, 252, 192, 256)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 138)(6, 140)(7, 131)(8, 143)(9, 132)(10, 133)(11, 148)(12, 134)(13, 151)(14, 147)(15, 136)(16, 149)(17, 156)(18, 157)(19, 142)(20, 139)(21, 144)(22, 162)(23, 141)(24, 165)(25, 166)(26, 164)(27, 168)(28, 145)(29, 146)(30, 172)(31, 173)(32, 171)(33, 175)(34, 150)(35, 177)(36, 154)(37, 152)(38, 153)(39, 174)(40, 155)(41, 182)(42, 183)(43, 160)(44, 158)(45, 159)(46, 167)(47, 161)(48, 188)(49, 163)(50, 184)(51, 185)(52, 190)(53, 187)(54, 169)(55, 170)(56, 178)(57, 179)(58, 192)(59, 181)(60, 176)(61, 191)(62, 180)(63, 189)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.289
Graph:: bipartite
	v = 48 e = 128 f = 72
	degree seq :: [ 4^32, 8^16 ]

E5.287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2 * Y1)^2, R * Y2 * R * Y3, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^-2, Y2^8, (Y2^3 * Y1^-1)^2, (Y2 * Y1^-1)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 21, 85, 11, 75)(5, 69, 13, 77, 18, 82, 7, 71)(8, 72, 19, 83, 34, 98, 15, 79)(10, 74, 23, 87, 36, 100, 25, 89)(12, 76, 16, 80, 35, 99, 28, 92)(14, 78, 31, 95, 33, 97, 29, 93)(17, 81, 37, 101, 22, 86, 39, 103)(20, 84, 43, 107, 27, 91, 41, 105)(24, 88, 47, 111, 62, 126, 44, 108)(26, 90, 45, 109, 55, 119, 42, 106)(30, 94, 52, 116, 56, 120, 40, 104)(32, 96, 51, 115, 61, 125, 53, 117)(38, 102, 58, 122, 49, 113, 57, 121)(46, 110, 54, 118, 50, 114, 60, 124)(48, 112, 59, 123, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 152, 216, 176, 240, 160, 224, 142, 206, 133, 197)(130, 194, 135, 199, 145, 209, 166, 230, 187, 251, 172, 236, 148, 212, 136, 200)(132, 196, 140, 204, 155, 219, 179, 243, 191, 255, 174, 238, 150, 214, 137, 201)(134, 198, 143, 207, 161, 225, 182, 246, 192, 256, 185, 249, 164, 228, 144, 208)(139, 203, 154, 218, 178, 242, 159, 223, 181, 245, 184, 248, 163, 227, 151, 215)(141, 205, 157, 221, 162, 226, 183, 247, 175, 239, 153, 217, 177, 241, 158, 222)(146, 210, 168, 232, 189, 253, 171, 235, 190, 254, 173, 237, 149, 213, 165, 229)(147, 211, 169, 233, 156, 220, 180, 244, 186, 250, 167, 231, 188, 252, 170, 234)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 143)(7, 145)(8, 130)(9, 132)(10, 152)(11, 154)(12, 155)(13, 157)(14, 133)(15, 161)(16, 134)(17, 166)(18, 168)(19, 169)(20, 136)(21, 165)(22, 137)(23, 139)(24, 176)(25, 177)(26, 178)(27, 179)(28, 180)(29, 162)(30, 141)(31, 181)(32, 142)(33, 182)(34, 183)(35, 151)(36, 144)(37, 146)(38, 187)(39, 188)(40, 189)(41, 156)(42, 147)(43, 190)(44, 148)(45, 149)(46, 150)(47, 153)(48, 160)(49, 158)(50, 159)(51, 191)(52, 186)(53, 184)(54, 192)(55, 175)(56, 163)(57, 164)(58, 167)(59, 172)(60, 170)(61, 171)(62, 173)(63, 174)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E5.288
Graph:: bipartite
	v = 24 e = 128 f = 96
	degree seq :: [ 8^16, 16^8 ]

E5.288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3 * Y2 * Y3^-1 * Y2)^2, Y3^4 * Y2 * Y3^-4 * Y2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194)(131, 195, 135, 199)(132, 196, 137, 201)(133, 197, 139, 203)(134, 198, 141, 205)(136, 200, 145, 209)(138, 202, 149, 213)(140, 204, 153, 217)(142, 206, 157, 221)(143, 207, 156, 220)(144, 208, 152, 216)(146, 210, 163, 227)(147, 211, 155, 219)(148, 212, 151, 215)(150, 214, 169, 233)(154, 218, 174, 238)(158, 222, 180, 244)(159, 223, 178, 242)(160, 224, 172, 236)(161, 225, 171, 235)(162, 226, 177, 241)(164, 228, 175, 239)(165, 229, 179, 243)(166, 230, 173, 237)(167, 231, 170, 234)(168, 232, 176, 240)(181, 245, 187, 251)(182, 246, 192, 256)(183, 247, 189, 253)(184, 248, 190, 254)(185, 249, 191, 255)(186, 250, 188, 252)
	L = (1, 131)(2, 133)(3, 136)(4, 129)(5, 140)(6, 130)(7, 143)(8, 146)(9, 147)(10, 132)(11, 151)(12, 154)(13, 155)(14, 134)(15, 159)(16, 135)(17, 161)(18, 164)(19, 165)(20, 137)(21, 167)(22, 138)(23, 170)(24, 139)(25, 172)(26, 175)(27, 176)(28, 141)(29, 178)(30, 142)(31, 181)(32, 144)(33, 183)(34, 145)(35, 185)(36, 150)(37, 186)(38, 148)(39, 184)(40, 149)(41, 182)(42, 187)(43, 152)(44, 189)(45, 153)(46, 191)(47, 158)(48, 192)(49, 156)(50, 190)(51, 157)(52, 188)(53, 169)(54, 160)(55, 168)(56, 162)(57, 166)(58, 163)(59, 180)(60, 171)(61, 179)(62, 173)(63, 177)(64, 174)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.287
Graph:: simple bipartite
	v = 96 e = 128 f = 24
	degree seq :: [ 2^64, 4^32 ]

E5.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1 * Y3^-1 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1 * Y3^-1)^2, Y1^8, Y3 * Y1^-4 * Y3^-1 * Y1^-4 ]
Map:: polytopal
	R = (1, 65, 2, 66, 5, 69, 11, 75, 23, 87, 22, 86, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 31, 95, 42, 106, 36, 100, 18, 82, 8, 72)(6, 70, 13, 77, 27, 91, 49, 113, 41, 105, 52, 116, 30, 94, 14, 78)(9, 73, 19, 83, 37, 101, 44, 108, 24, 88, 43, 107, 38, 102, 20, 84)(12, 76, 25, 89, 45, 109, 40, 104, 21, 85, 39, 103, 48, 112, 26, 90)(16, 80, 33, 97, 55, 119, 63, 127, 58, 122, 60, 124, 46, 110, 29, 93)(17, 81, 34, 98, 56, 120, 64, 128, 53, 117, 59, 123, 47, 111, 28, 92)(32, 96, 51, 115, 61, 125, 57, 121, 35, 99, 50, 114, 62, 126, 54, 118)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 144)(8, 145)(9, 132)(10, 149)(11, 152)(12, 133)(13, 156)(14, 157)(15, 160)(16, 135)(17, 136)(18, 163)(19, 162)(20, 161)(21, 138)(22, 169)(23, 170)(24, 139)(25, 174)(26, 175)(27, 178)(28, 141)(29, 142)(30, 179)(31, 181)(32, 143)(33, 148)(34, 147)(35, 146)(36, 186)(37, 185)(38, 182)(39, 183)(40, 184)(41, 150)(42, 151)(43, 187)(44, 188)(45, 189)(46, 153)(47, 154)(48, 190)(49, 191)(50, 155)(51, 158)(52, 192)(53, 159)(54, 166)(55, 167)(56, 168)(57, 165)(58, 164)(59, 171)(60, 172)(61, 173)(62, 176)(63, 177)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.286
Graph:: simple bipartite
	v = 72 e = 128 f = 48
	degree seq :: [ 2^64, 16^8 ]

E5.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, Y2^8, (Y3 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2^-4 * Y1)^2 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 28, 92)(16, 80, 24, 88)(18, 82, 35, 99)(19, 83, 27, 91)(20, 84, 23, 87)(22, 86, 41, 105)(26, 90, 46, 110)(30, 94, 52, 116)(31, 95, 50, 114)(32, 96, 44, 108)(33, 97, 43, 107)(34, 98, 49, 113)(36, 100, 47, 111)(37, 101, 51, 115)(38, 102, 45, 109)(39, 103, 42, 106)(40, 104, 48, 112)(53, 117, 59, 123)(54, 118, 64, 128)(55, 119, 61, 125)(56, 120, 62, 126)(57, 121, 63, 127)(58, 122, 60, 124)(129, 193, 131, 195, 136, 200, 146, 210, 164, 228, 150, 214, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 154, 218, 175, 239, 158, 222, 142, 206, 134, 198)(135, 199, 143, 207, 159, 223, 181, 245, 169, 233, 182, 246, 160, 224, 144, 208)(137, 201, 147, 211, 165, 229, 186, 250, 163, 227, 185, 249, 166, 230, 148, 212)(139, 203, 151, 215, 170, 234, 187, 251, 180, 244, 188, 252, 171, 235, 152, 216)(141, 205, 155, 219, 176, 240, 192, 256, 174, 238, 191, 255, 177, 241, 156, 220)(145, 209, 161, 225, 183, 247, 168, 232, 149, 213, 167, 231, 184, 248, 162, 226)(153, 217, 172, 236, 189, 253, 179, 243, 157, 221, 178, 242, 190, 254, 173, 237)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 156)(16, 152)(17, 136)(18, 163)(19, 155)(20, 151)(21, 138)(22, 169)(23, 148)(24, 144)(25, 140)(26, 174)(27, 147)(28, 143)(29, 142)(30, 180)(31, 178)(32, 172)(33, 171)(34, 177)(35, 146)(36, 175)(37, 179)(38, 173)(39, 170)(40, 176)(41, 150)(42, 167)(43, 161)(44, 160)(45, 166)(46, 154)(47, 164)(48, 168)(49, 162)(50, 159)(51, 165)(52, 158)(53, 187)(54, 192)(55, 189)(56, 190)(57, 191)(58, 188)(59, 181)(60, 186)(61, 183)(62, 184)(63, 185)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.291
Graph:: bipartite
	v = 40 e = 128 f = 80
	degree seq :: [ 4^32, 16^8 ]

E5.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^-2, (Y3^3 * Y1^-1)^2, (Y3^-1 * Y1)^4, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 21, 85, 11, 75)(5, 69, 13, 77, 18, 82, 7, 71)(8, 72, 19, 83, 34, 98, 15, 79)(10, 74, 23, 87, 36, 100, 25, 89)(12, 76, 16, 80, 35, 99, 28, 92)(14, 78, 31, 95, 33, 97, 29, 93)(17, 81, 37, 101, 22, 86, 39, 103)(20, 84, 43, 107, 27, 91, 41, 105)(24, 88, 47, 111, 62, 126, 44, 108)(26, 90, 45, 109, 55, 119, 42, 106)(30, 94, 52, 116, 56, 120, 40, 104)(32, 96, 51, 115, 61, 125, 53, 117)(38, 102, 58, 122, 49, 113, 57, 121)(46, 110, 54, 118, 50, 114, 60, 124)(48, 112, 59, 123, 64, 128, 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, 140)(5, 129)(6, 143)(7, 145)(8, 130)(9, 132)(10, 152)(11, 154)(12, 155)(13, 157)(14, 133)(15, 161)(16, 134)(17, 166)(18, 168)(19, 169)(20, 136)(21, 165)(22, 137)(23, 139)(24, 176)(25, 177)(26, 178)(27, 179)(28, 180)(29, 162)(30, 141)(31, 181)(32, 142)(33, 182)(34, 183)(35, 151)(36, 144)(37, 146)(38, 187)(39, 188)(40, 189)(41, 156)(42, 147)(43, 190)(44, 148)(45, 149)(46, 150)(47, 153)(48, 160)(49, 158)(50, 159)(51, 191)(52, 186)(53, 184)(54, 192)(55, 175)(56, 163)(57, 164)(58, 167)(59, 172)(60, 170)(61, 171)(62, 173)(63, 174)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.290
Graph:: simple bipartite
	v = 80 e = 128 f = 40
	degree seq :: [ 2^64, 8^16 ]

E5.292 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 5})
Quotient :: regular
Aut^+ = (C2 x C2 x C2 x C2) : C5 (small group id <80, 49>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^5, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-1)^5, (T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 32, 34, 19)(11, 21, 37, 40, 22)(15, 28, 47, 43, 25)(16, 29, 49, 50, 30)(20, 35, 56, 58, 36)(24, 42, 65, 61, 39)(27, 45, 68, 62, 46)(31, 51, 72, 74, 52)(33, 54, 75, 69, 48)(38, 60, 79, 71, 57)(41, 63, 80, 77, 64)(44, 66, 53, 73, 67)(55, 70, 59, 78, 76)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 29)(19, 33)(21, 38)(22, 39)(23, 41)(26, 44)(28, 48)(30, 42)(32, 53)(34, 55)(35, 54)(36, 57)(37, 59)(40, 62)(43, 60)(45, 67)(46, 69)(47, 70)(49, 71)(50, 64)(51, 65)(52, 73)(56, 72)(58, 77)(61, 75)(63, 68)(66, 79)(74, 76)(78, 80)
	local type(s) :: { ( 5^5 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 16 e = 40 f = 16
	degree seq :: [ 5^16 ]

E5.293 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 5})
Quotient :: edge
Aut^+ = (C2 x C2 x C2 x C2) : C5 (small group id <80, 49>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T1 * T2 * T1 * T2^-1)^2, (T2 * T1)^5, (T2^2 * T1 * T2^-2 * T1)^2 ]
Map:: polytopal
	R = (1, 3, 8, 10, 4)(2, 5, 12, 14, 6)(7, 15, 28, 29, 16)(9, 18, 32, 34, 19)(11, 21, 38, 39, 22)(13, 24, 42, 44, 25)(17, 30, 51, 52, 31)(20, 35, 56, 58, 36)(23, 40, 63, 64, 41)(26, 45, 68, 70, 46)(27, 43, 66, 71, 47)(33, 54, 75, 59, 37)(48, 72, 79, 77, 67)(49, 73, 53, 69, 62)(50, 61, 78, 65, 57)(55, 60, 74, 80, 76)(81, 82)(83, 87)(84, 89)(85, 91)(86, 93)(88, 97)(90, 100)(92, 103)(94, 106)(95, 107)(96, 102)(98, 104)(99, 113)(101, 117)(105, 123)(108, 128)(109, 129)(110, 130)(111, 127)(112, 133)(114, 135)(115, 134)(116, 137)(118, 140)(119, 141)(120, 142)(121, 139)(122, 145)(124, 147)(125, 146)(126, 149)(131, 154)(132, 144)(136, 148)(138, 157)(143, 152)(150, 156)(151, 155)(153, 158)(159, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10, 10 ), ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E5.294
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 80 f = 16
	degree seq :: [ 2^40, 5^16 ]

E5.294 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 5})
Quotient :: loop
Aut^+ = (C2 x C2 x C2 x C2) : C5 (small group id <80, 49>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T1 * T2 * T1 * T2^-1)^2, (T2 * T1)^5, (T2^2 * T1 * T2^-2 * T1)^2 ]
Map::
	R = (1, 81, 3, 83, 8, 88, 10, 90, 4, 84)(2, 82, 5, 85, 12, 92, 14, 94, 6, 86)(7, 87, 15, 95, 28, 108, 29, 109, 16, 96)(9, 89, 18, 98, 32, 112, 34, 114, 19, 99)(11, 91, 21, 101, 38, 118, 39, 119, 22, 102)(13, 93, 24, 104, 42, 122, 44, 124, 25, 105)(17, 97, 30, 110, 51, 131, 52, 132, 31, 111)(20, 100, 35, 115, 56, 136, 58, 138, 36, 116)(23, 103, 40, 120, 63, 143, 64, 144, 41, 121)(26, 106, 45, 125, 68, 148, 70, 150, 46, 126)(27, 107, 43, 123, 66, 146, 71, 151, 47, 127)(33, 113, 54, 134, 75, 155, 59, 139, 37, 117)(48, 128, 72, 152, 79, 159, 77, 157, 67, 147)(49, 129, 73, 153, 53, 133, 69, 149, 62, 142)(50, 130, 61, 141, 78, 158, 65, 145, 57, 137)(55, 135, 60, 140, 74, 154, 80, 160, 76, 156)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 91)(6, 93)(7, 83)(8, 97)(9, 84)(10, 100)(11, 85)(12, 103)(13, 86)(14, 106)(15, 107)(16, 102)(17, 88)(18, 104)(19, 113)(20, 90)(21, 117)(22, 96)(23, 92)(24, 98)(25, 123)(26, 94)(27, 95)(28, 128)(29, 129)(30, 130)(31, 127)(32, 133)(33, 99)(34, 135)(35, 134)(36, 137)(37, 101)(38, 140)(39, 141)(40, 142)(41, 139)(42, 145)(43, 105)(44, 147)(45, 146)(46, 149)(47, 111)(48, 108)(49, 109)(50, 110)(51, 154)(52, 144)(53, 112)(54, 115)(55, 114)(56, 148)(57, 116)(58, 157)(59, 121)(60, 118)(61, 119)(62, 120)(63, 152)(64, 132)(65, 122)(66, 125)(67, 124)(68, 136)(69, 126)(70, 156)(71, 155)(72, 143)(73, 158)(74, 131)(75, 151)(76, 150)(77, 138)(78, 153)(79, 160)(80, 159)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E5.293
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 80 f = 56
	degree seq :: [ 10^16 ]

E5.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x C2) : C5 (small group id <80, 49>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1 * Y2^-1)^2, (Y2 * Y1)^5, (Y3 * Y2^-1)^5, (Y2^2 * Y1 * Y2^-2 * Y1)^2 ]
Map::
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 11, 91)(6, 86, 13, 93)(8, 88, 17, 97)(10, 90, 20, 100)(12, 92, 23, 103)(14, 94, 26, 106)(15, 95, 27, 107)(16, 96, 22, 102)(18, 98, 24, 104)(19, 99, 33, 113)(21, 101, 37, 117)(25, 105, 43, 123)(28, 108, 48, 128)(29, 109, 49, 129)(30, 110, 50, 130)(31, 111, 47, 127)(32, 112, 53, 133)(34, 114, 55, 135)(35, 115, 54, 134)(36, 116, 57, 137)(38, 118, 60, 140)(39, 119, 61, 141)(40, 120, 62, 142)(41, 121, 59, 139)(42, 122, 65, 145)(44, 124, 67, 147)(45, 125, 66, 146)(46, 126, 69, 149)(51, 131, 74, 154)(52, 132, 64, 144)(56, 136, 68, 148)(58, 138, 77, 157)(63, 143, 72, 152)(70, 150, 76, 156)(71, 151, 75, 155)(73, 153, 78, 158)(79, 159, 80, 160)(161, 241, 163, 243, 168, 248, 170, 250, 164, 244)(162, 242, 165, 245, 172, 252, 174, 254, 166, 246)(167, 247, 175, 255, 188, 268, 189, 269, 176, 256)(169, 249, 178, 258, 192, 272, 194, 274, 179, 259)(171, 251, 181, 261, 198, 278, 199, 279, 182, 262)(173, 253, 184, 264, 202, 282, 204, 284, 185, 265)(177, 257, 190, 270, 211, 291, 212, 292, 191, 271)(180, 260, 195, 275, 216, 296, 218, 298, 196, 276)(183, 263, 200, 280, 223, 303, 224, 304, 201, 281)(186, 266, 205, 285, 228, 308, 230, 310, 206, 286)(187, 267, 203, 283, 226, 306, 231, 311, 207, 287)(193, 273, 214, 294, 235, 315, 219, 299, 197, 277)(208, 288, 232, 312, 239, 319, 237, 317, 227, 307)(209, 289, 233, 313, 213, 293, 229, 309, 222, 302)(210, 290, 221, 301, 238, 318, 225, 305, 217, 297)(215, 295, 220, 300, 234, 314, 240, 320, 236, 316)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 171)(6, 173)(7, 163)(8, 177)(9, 164)(10, 180)(11, 165)(12, 183)(13, 166)(14, 186)(15, 187)(16, 182)(17, 168)(18, 184)(19, 193)(20, 170)(21, 197)(22, 176)(23, 172)(24, 178)(25, 203)(26, 174)(27, 175)(28, 208)(29, 209)(30, 210)(31, 207)(32, 213)(33, 179)(34, 215)(35, 214)(36, 217)(37, 181)(38, 220)(39, 221)(40, 222)(41, 219)(42, 225)(43, 185)(44, 227)(45, 226)(46, 229)(47, 191)(48, 188)(49, 189)(50, 190)(51, 234)(52, 224)(53, 192)(54, 195)(55, 194)(56, 228)(57, 196)(58, 237)(59, 201)(60, 198)(61, 199)(62, 200)(63, 232)(64, 212)(65, 202)(66, 205)(67, 204)(68, 216)(69, 206)(70, 236)(71, 235)(72, 223)(73, 238)(74, 211)(75, 231)(76, 230)(77, 218)(78, 233)(79, 240)(80, 239)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E5.296
Graph:: bipartite
	v = 56 e = 160 f = 96
	degree seq :: [ 4^40, 10^16 ]

E5.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x C2) : C5 (small group id <80, 49>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^5, Y3 * Y1^2 * Y3 * Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 81, 2, 82, 5, 85, 10, 90, 4, 84)(3, 83, 7, 87, 14, 94, 17, 97, 8, 88)(6, 86, 12, 92, 23, 103, 26, 106, 13, 93)(9, 89, 18, 98, 32, 112, 34, 114, 19, 99)(11, 91, 21, 101, 37, 117, 40, 120, 22, 102)(15, 95, 28, 108, 47, 127, 43, 123, 25, 105)(16, 96, 29, 109, 49, 129, 50, 130, 30, 110)(20, 100, 35, 115, 56, 136, 58, 138, 36, 116)(24, 104, 42, 122, 65, 145, 61, 141, 39, 119)(27, 107, 45, 125, 68, 148, 62, 142, 46, 126)(31, 111, 51, 131, 72, 152, 74, 154, 52, 132)(33, 113, 54, 134, 75, 155, 69, 149, 48, 128)(38, 118, 60, 140, 79, 159, 71, 151, 57, 137)(41, 121, 63, 143, 80, 160, 77, 157, 64, 144)(44, 124, 66, 146, 53, 133, 73, 153, 67, 147)(55, 135, 70, 150, 59, 139, 78, 158, 76, 156)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 166)(3, 161)(4, 169)(5, 171)(6, 162)(7, 175)(8, 176)(9, 164)(10, 180)(11, 165)(12, 184)(13, 185)(14, 187)(15, 167)(16, 168)(17, 191)(18, 189)(19, 193)(20, 170)(21, 198)(22, 199)(23, 201)(24, 172)(25, 173)(26, 204)(27, 174)(28, 208)(29, 178)(30, 202)(31, 177)(32, 213)(33, 179)(34, 215)(35, 214)(36, 217)(37, 219)(38, 181)(39, 182)(40, 222)(41, 183)(42, 190)(43, 220)(44, 186)(45, 227)(46, 229)(47, 230)(48, 188)(49, 231)(50, 224)(51, 225)(52, 233)(53, 192)(54, 195)(55, 194)(56, 232)(57, 196)(58, 237)(59, 197)(60, 203)(61, 235)(62, 200)(63, 228)(64, 210)(65, 211)(66, 239)(67, 205)(68, 223)(69, 206)(70, 207)(71, 209)(72, 216)(73, 212)(74, 236)(75, 221)(76, 234)(77, 218)(78, 240)(79, 226)(80, 238)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E5.295
Graph:: simple bipartite
	v = 96 e = 160 f = 56
	degree seq :: [ 2^80, 10^16 ]

E5.297 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1^-1)^3, T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1, T2^-2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 ]
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, 51, 37)(18, 38, 73, 39)(19, 40, 52, 26)(22, 44, 79, 45)(23, 46, 81, 47)(28, 55, 72, 56)(29, 57, 60, 58)(34, 67, 78, 42)(35, 68, 94, 69)(43, 63, 62, 48)(50, 83, 88, 84)(53, 82, 93, 65)(54, 64, 92, 85)(61, 90, 71, 91)(66, 76, 75, 70)(74, 95, 87, 96)(77, 89, 86, 80)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 111, 113)(103, 114, 115)(105, 118, 119)(107, 122, 124)(108, 125, 116)(112, 130, 131)(117, 138, 139)(120, 144, 146)(121, 147, 140)(123, 149, 150)(126, 143, 156)(127, 157, 158)(128, 159, 160)(129, 161, 162)(132, 166, 167)(133, 168, 163)(134, 165, 155)(135, 170, 171)(136, 172, 142)(137, 173, 164)(141, 176, 148)(145, 178, 152)(151, 182, 183)(153, 181, 169)(154, 184, 185)(174, 191, 188)(175, 186, 190)(177, 189, 180)(179, 187, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E5.298
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 32
	degree seq :: [ 3^32, 4^24 ]

E5.298 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1)^4, (T2^-1 * T1^-1)^4, T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 3, 99, 5, 101)(2, 98, 6, 102, 7, 103)(4, 100, 10, 106, 11, 107)(8, 104, 18, 114, 19, 115)(9, 105, 20, 116, 21, 117)(12, 108, 26, 122, 27, 123)(13, 109, 28, 124, 29, 125)(14, 110, 30, 126, 31, 127)(15, 111, 32, 128, 33, 129)(16, 112, 34, 130, 35, 131)(17, 113, 36, 132, 37, 133)(22, 118, 46, 142, 47, 143)(23, 119, 48, 144, 49, 145)(24, 120, 50, 146, 51, 147)(25, 121, 52, 148, 38, 134)(39, 135, 66, 162, 65, 161)(40, 136, 73, 169, 74, 170)(41, 137, 75, 171, 61, 157)(42, 138, 60, 156, 76, 172)(43, 139, 77, 173, 78, 174)(44, 140, 79, 175, 80, 176)(45, 141, 72, 168, 53, 149)(54, 150, 89, 185, 64, 160)(55, 151, 63, 159, 90, 186)(56, 152, 91, 187, 88, 184)(57, 153, 87, 183, 70, 166)(58, 154, 69, 165, 92, 188)(59, 155, 85, 181, 84, 180)(62, 158, 81, 177, 93, 189)(67, 163, 94, 190, 83, 179)(68, 164, 82, 178, 95, 191)(71, 167, 86, 182, 96, 192)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 108)(6, 110)(7, 112)(8, 105)(9, 99)(10, 118)(11, 120)(12, 109)(13, 101)(14, 111)(15, 102)(16, 113)(17, 103)(18, 134)(19, 136)(20, 138)(21, 140)(22, 119)(23, 106)(24, 121)(25, 107)(26, 149)(27, 151)(28, 153)(29, 155)(30, 125)(31, 156)(32, 158)(33, 160)(34, 162)(35, 164)(36, 166)(37, 168)(38, 135)(39, 114)(40, 137)(41, 115)(42, 139)(43, 116)(44, 141)(45, 117)(46, 133)(47, 177)(48, 170)(49, 179)(50, 181)(51, 174)(52, 183)(53, 150)(54, 122)(55, 152)(56, 123)(57, 154)(58, 124)(59, 126)(60, 157)(61, 127)(62, 159)(63, 128)(64, 161)(65, 129)(66, 163)(67, 130)(68, 165)(69, 131)(70, 167)(71, 132)(72, 142)(73, 185)(74, 178)(75, 143)(76, 190)(77, 186)(78, 182)(79, 146)(80, 188)(81, 171)(82, 144)(83, 180)(84, 145)(85, 175)(86, 147)(87, 184)(88, 148)(89, 192)(90, 191)(91, 172)(92, 189)(93, 176)(94, 187)(95, 173)(96, 169)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.297
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 32 e = 96 f = 56
	degree seq :: [ 6^32 ]

E5.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^3, Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 15, 111, 17, 113)(7, 103, 18, 114, 19, 115)(9, 105, 22, 118, 23, 119)(11, 107, 26, 122, 28, 124)(12, 108, 29, 125, 20, 116)(16, 112, 34, 130, 35, 131)(21, 117, 42, 138, 43, 139)(24, 120, 48, 144, 50, 146)(25, 121, 51, 147, 44, 140)(27, 123, 53, 149, 54, 150)(30, 126, 47, 143, 60, 156)(31, 127, 61, 157, 62, 158)(32, 128, 63, 159, 64, 160)(33, 129, 65, 161, 66, 162)(36, 132, 70, 166, 71, 167)(37, 133, 72, 168, 67, 163)(38, 134, 69, 165, 59, 155)(39, 135, 74, 170, 75, 171)(40, 136, 76, 172, 46, 142)(41, 137, 77, 173, 68, 164)(45, 141, 80, 176, 52, 148)(49, 145, 82, 178, 56, 152)(55, 151, 86, 182, 87, 183)(57, 153, 85, 181, 73, 169)(58, 154, 88, 184, 89, 185)(78, 174, 95, 191, 92, 188)(79, 175, 90, 186, 94, 190)(81, 177, 93, 189, 84, 180)(83, 179, 91, 187, 96, 192)(193, 289, 195, 291, 201, 297, 197, 293)(194, 290, 198, 294, 208, 304, 199, 295)(196, 292, 203, 299, 219, 315, 204, 300)(200, 296, 212, 308, 233, 329, 213, 309)(202, 298, 216, 312, 241, 337, 217, 313)(205, 301, 222, 318, 251, 347, 223, 319)(206, 302, 224, 320, 225, 321, 207, 303)(209, 305, 228, 324, 243, 339, 229, 325)(210, 306, 230, 326, 265, 361, 231, 327)(211, 307, 232, 328, 244, 340, 218, 314)(214, 310, 236, 332, 271, 367, 237, 333)(215, 311, 238, 334, 273, 369, 239, 335)(220, 316, 247, 343, 264, 360, 248, 344)(221, 317, 249, 345, 252, 348, 250, 346)(226, 322, 259, 355, 270, 366, 234, 330)(227, 323, 260, 356, 286, 382, 261, 357)(235, 331, 255, 351, 254, 350, 240, 336)(242, 338, 275, 371, 280, 376, 276, 372)(245, 341, 274, 370, 285, 381, 257, 353)(246, 342, 256, 352, 284, 380, 277, 373)(253, 349, 282, 378, 263, 359, 283, 379)(258, 354, 268, 364, 267, 363, 262, 358)(266, 362, 287, 383, 279, 375, 288, 384)(269, 365, 281, 377, 278, 374, 272, 368)
	L = (1, 195)(2, 198)(3, 201)(4, 203)(5, 193)(6, 208)(7, 194)(8, 212)(9, 197)(10, 216)(11, 219)(12, 196)(13, 222)(14, 224)(15, 206)(16, 199)(17, 228)(18, 230)(19, 232)(20, 233)(21, 200)(22, 236)(23, 238)(24, 241)(25, 202)(26, 211)(27, 204)(28, 247)(29, 249)(30, 251)(31, 205)(32, 225)(33, 207)(34, 259)(35, 260)(36, 243)(37, 209)(38, 265)(39, 210)(40, 244)(41, 213)(42, 226)(43, 255)(44, 271)(45, 214)(46, 273)(47, 215)(48, 235)(49, 217)(50, 275)(51, 229)(52, 218)(53, 274)(54, 256)(55, 264)(56, 220)(57, 252)(58, 221)(59, 223)(60, 250)(61, 282)(62, 240)(63, 254)(64, 284)(65, 245)(66, 268)(67, 270)(68, 286)(69, 227)(70, 258)(71, 283)(72, 248)(73, 231)(74, 287)(75, 262)(76, 267)(77, 281)(78, 234)(79, 237)(80, 269)(81, 239)(82, 285)(83, 280)(84, 242)(85, 246)(86, 272)(87, 288)(88, 276)(89, 278)(90, 263)(91, 253)(92, 277)(93, 257)(94, 261)(95, 279)(96, 266)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.300
Graph:: bipartite
	v = 56 e = 192 f = 128
	degree seq :: [ 6^32, 8^24 ]

E5.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^4, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 196, 292)(195, 291, 200, 296, 202, 298)(197, 293, 205, 301, 206, 302)(198, 294, 207, 303, 209, 305)(199, 295, 210, 306, 211, 307)(201, 297, 214, 310, 215, 311)(203, 299, 217, 313, 219, 315)(204, 300, 220, 316, 221, 317)(208, 304, 227, 323, 228, 324)(212, 308, 233, 329, 235, 331)(213, 309, 236, 332, 237, 333)(216, 312, 241, 337, 242, 338)(218, 314, 245, 341, 246, 342)(222, 318, 251, 347, 252, 348)(223, 319, 253, 349, 239, 335)(224, 320, 255, 351, 256, 352)(225, 321, 257, 353, 259, 355)(226, 322, 260, 356, 234, 330)(229, 325, 263, 359, 240, 336)(230, 326, 264, 360, 265, 361)(231, 327, 266, 362, 261, 357)(232, 328, 267, 363, 268, 364)(238, 334, 272, 368, 248, 344)(243, 339, 275, 371, 276, 372)(244, 340, 277, 373, 258, 354)(247, 343, 279, 375, 262, 358)(249, 345, 254, 350, 278, 374)(250, 346, 280, 376, 281, 377)(269, 365, 285, 381, 284, 380)(270, 366, 287, 383, 273, 369)(271, 367, 288, 384, 283, 379)(274, 370, 282, 378, 286, 382)
	L = (1, 195)(2, 198)(3, 201)(4, 203)(5, 193)(6, 208)(7, 194)(8, 212)(9, 197)(10, 210)(11, 218)(12, 196)(13, 222)(14, 223)(15, 225)(16, 199)(17, 220)(18, 230)(19, 231)(20, 234)(21, 200)(22, 238)(23, 236)(24, 202)(25, 243)(26, 204)(27, 205)(28, 248)(29, 249)(30, 247)(31, 254)(32, 206)(33, 258)(34, 207)(35, 251)(36, 260)(37, 209)(38, 216)(39, 253)(40, 211)(41, 269)(42, 213)(43, 241)(44, 271)(45, 244)(46, 273)(47, 214)(48, 215)(49, 252)(50, 246)(51, 237)(52, 217)(53, 264)(54, 277)(55, 219)(56, 229)(57, 266)(58, 221)(59, 282)(60, 255)(61, 232)(62, 224)(63, 235)(64, 283)(65, 285)(66, 226)(67, 263)(68, 287)(69, 227)(70, 228)(71, 265)(72, 288)(73, 267)(74, 250)(75, 259)(76, 270)(77, 268)(78, 233)(79, 240)(80, 280)(81, 239)(82, 242)(83, 284)(84, 279)(85, 274)(86, 245)(87, 272)(88, 276)(89, 286)(90, 261)(91, 275)(92, 256)(93, 281)(94, 257)(95, 262)(96, 278)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.299
Graph:: simple bipartite
	v = 128 e = 192 f = 56
	degree seq :: [ 2^96, 6^32 ]

E5.301 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^6, (T1^-1 * T2)^4, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 59, 37, 20)(12, 23, 42, 68, 45, 24)(16, 31, 53, 65, 44, 32)(17, 33, 55, 66, 48, 26)(21, 38, 62, 85, 63, 39)(22, 40, 64, 86, 67, 41)(27, 49, 36, 60, 70, 43)(30, 52, 78, 87, 76, 50)(34, 57, 83, 88, 69, 58)(47, 73, 61, 84, 91, 71)(51, 72, 89, 96, 95, 77)(54, 81, 56, 82, 90, 79)(74, 93, 75, 94, 80, 92)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 54)(33, 56)(35, 57)(37, 61)(38, 55)(39, 60)(40, 65)(41, 66)(42, 69)(45, 71)(46, 72)(48, 74)(49, 75)(52, 79)(53, 80)(58, 82)(59, 77)(62, 84)(63, 78)(64, 87)(67, 88)(68, 89)(70, 90)(73, 92)(76, 94)(81, 91)(83, 93)(85, 95)(86, 96)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E5.302
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 48 f = 24
	degree seq :: [ 6^16 ]

E5.302 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T2 * T1^-2)^4, (T1^-1 * T2)^6, (T2 * T1 * T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 52, 40)(29, 48, 73, 49)(30, 50, 74, 51)(32, 53, 75, 54)(33, 55, 78, 56)(34, 57, 47, 58)(42, 68, 76, 64)(43, 69, 77, 61)(45, 71, 79, 63)(46, 72, 80, 60)(65, 83, 90, 84)(66, 85, 91, 86)(67, 87, 70, 82)(81, 88, 93, 89)(92, 94, 96, 95)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 70)(48, 72)(49, 69)(50, 71)(51, 68)(53, 76)(54, 77)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(62, 84)(73, 85)(74, 86)(75, 88)(78, 89)(87, 92)(90, 94)(91, 95)(93, 96)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E5.301
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 48 f = 16
	degree seq :: [ 4^24 ]

E5.303 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-2 * T1)^4, (T2^-1 * T1)^6, (T2 * T1 * T2 * T1 * T2^-1 * T1)^2 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 65, 40)(25, 42, 68, 43)(28, 47, 73, 48)(30, 50, 74, 51)(31, 52, 75, 53)(33, 55, 78, 56)(36, 60, 83, 61)(38, 63, 84, 64)(41, 66, 49, 67)(44, 69, 86, 70)(46, 71, 87, 72)(54, 76, 62, 77)(57, 79, 89, 80)(59, 81, 90, 82)(85, 91, 95, 92)(88, 93, 96, 94)(97, 98)(99, 103)(100, 105)(101, 106)(102, 108)(104, 111)(107, 116)(109, 119)(110, 121)(112, 124)(113, 126)(114, 127)(115, 129)(117, 132)(118, 134)(120, 137)(122, 140)(123, 142)(125, 145)(128, 150)(130, 153)(131, 155)(133, 158)(135, 160)(136, 152)(138, 157)(139, 149)(141, 154)(143, 159)(144, 151)(146, 156)(147, 148)(161, 175)(162, 181)(163, 173)(164, 176)(165, 171)(166, 174)(167, 179)(168, 180)(169, 177)(170, 178)(172, 184)(182, 187)(183, 188)(185, 189)(186, 190)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E5.307
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 96 f = 16
	degree seq :: [ 2^48, 4^24 ]

E5.304 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^6, (T2^-1 * T1)^4, T1^-1 * T2^-2 * T1 * T2 * T1^-1 * T2^3 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 14, 5)(2, 7, 17, 37, 20, 8)(4, 12, 27, 46, 22, 9)(6, 15, 32, 61, 35, 16)(11, 26, 52, 82, 48, 23)(13, 29, 56, 74, 58, 30)(18, 39, 72, 47, 68, 36)(19, 40, 73, 92, 75, 41)(21, 43, 77, 57, 79, 44)(25, 51, 83, 94, 66, 49)(28, 55, 85, 87, 81, 53)(31, 50, 62, 89, 86, 59)(33, 63, 90, 67, 88, 60)(34, 64, 91, 78, 93, 65)(38, 71, 95, 80, 45, 69)(42, 70, 54, 84, 96, 76)(97, 98, 102, 100)(99, 105, 117, 107)(101, 109, 114, 103)(104, 115, 129, 111)(106, 119, 143, 121)(108, 112, 130, 124)(110, 127, 153, 125)(113, 132, 163, 134)(116, 138, 170, 136)(118, 141, 174, 139)(120, 145, 157, 146)(122, 140, 159, 137)(123, 149, 178, 150)(126, 151, 161, 135)(128, 156, 183, 158)(131, 162, 188, 160)(133, 165, 142, 166)(144, 177, 184, 164)(147, 168, 189, 176)(148, 171, 190, 180)(152, 173, 187, 169)(154, 172, 185, 181)(155, 167, 186, 175)(179, 191, 182, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E5.308
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 48
	degree seq :: [ 4^24, 6^16 ]

E5.305 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-2)^4 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 54)(33, 56)(35, 57)(37, 61)(38, 55)(39, 60)(40, 65)(41, 66)(42, 69)(45, 71)(46, 72)(48, 74)(49, 75)(52, 79)(53, 80)(58, 82)(59, 77)(62, 84)(63, 78)(64, 87)(67, 88)(68, 89)(70, 90)(73, 92)(76, 94)(81, 91)(83, 93)(85, 95)(86, 96)(97, 98, 101, 107, 106, 100)(99, 103, 111, 125, 114, 104)(102, 109, 121, 142, 124, 110)(105, 115, 131, 155, 133, 116)(108, 119, 138, 164, 141, 120)(112, 127, 149, 161, 140, 128)(113, 129, 151, 162, 144, 122)(117, 134, 158, 181, 159, 135)(118, 136, 160, 182, 163, 137)(123, 145, 132, 156, 166, 139)(126, 148, 174, 183, 172, 146)(130, 153, 179, 184, 165, 154)(143, 169, 157, 180, 187, 167)(147, 168, 185, 192, 191, 173)(150, 177, 152, 178, 186, 175)(170, 189, 171, 190, 176, 188)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E5.306
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 96 f = 24
	degree seq :: [ 2^48, 6^16 ]

E5.306 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-2 * T1)^4, (T2^-1 * T1)^6, (T2 * T1 * T2 * T1 * T2^-1 * T1)^2 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 4, 100)(2, 98, 5, 101, 11, 107, 6, 102)(7, 103, 13, 109, 24, 120, 14, 110)(9, 105, 16, 112, 29, 125, 17, 113)(10, 106, 18, 114, 32, 128, 19, 115)(12, 108, 21, 117, 37, 133, 22, 118)(15, 111, 26, 122, 45, 141, 27, 123)(20, 116, 34, 130, 58, 154, 35, 131)(23, 119, 39, 135, 65, 161, 40, 136)(25, 121, 42, 138, 68, 164, 43, 139)(28, 124, 47, 143, 73, 169, 48, 144)(30, 126, 50, 146, 74, 170, 51, 147)(31, 127, 52, 148, 75, 171, 53, 149)(33, 129, 55, 151, 78, 174, 56, 152)(36, 132, 60, 156, 83, 179, 61, 157)(38, 134, 63, 159, 84, 180, 64, 160)(41, 137, 66, 162, 49, 145, 67, 163)(44, 140, 69, 165, 86, 182, 70, 166)(46, 142, 71, 167, 87, 183, 72, 168)(54, 150, 76, 172, 62, 158, 77, 173)(57, 153, 79, 175, 89, 185, 80, 176)(59, 155, 81, 177, 90, 186, 82, 178)(85, 181, 91, 187, 95, 191, 92, 188)(88, 184, 93, 189, 96, 192, 94, 190)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 106)(6, 108)(7, 99)(8, 111)(9, 100)(10, 101)(11, 116)(12, 102)(13, 119)(14, 121)(15, 104)(16, 124)(17, 126)(18, 127)(19, 129)(20, 107)(21, 132)(22, 134)(23, 109)(24, 137)(25, 110)(26, 140)(27, 142)(28, 112)(29, 145)(30, 113)(31, 114)(32, 150)(33, 115)(34, 153)(35, 155)(36, 117)(37, 158)(38, 118)(39, 160)(40, 152)(41, 120)(42, 157)(43, 149)(44, 122)(45, 154)(46, 123)(47, 159)(48, 151)(49, 125)(50, 156)(51, 148)(52, 147)(53, 139)(54, 128)(55, 144)(56, 136)(57, 130)(58, 141)(59, 131)(60, 146)(61, 138)(62, 133)(63, 143)(64, 135)(65, 175)(66, 181)(67, 173)(68, 176)(69, 171)(70, 174)(71, 179)(72, 180)(73, 177)(74, 178)(75, 165)(76, 184)(77, 163)(78, 166)(79, 161)(80, 164)(81, 169)(82, 170)(83, 167)(84, 168)(85, 162)(86, 187)(87, 188)(88, 172)(89, 189)(90, 190)(91, 182)(92, 183)(93, 185)(94, 186)(95, 192)(96, 191)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.305
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 64
	degree seq :: [ 8^24 ]

E5.307 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^6, (T2^-1 * T1)^4, T1^-1 * T2^-2 * T1 * T2 * T1^-1 * T2^3 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-2 * T1^-1 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 24, 120, 14, 110, 5, 101)(2, 98, 7, 103, 17, 113, 37, 133, 20, 116, 8, 104)(4, 100, 12, 108, 27, 123, 46, 142, 22, 118, 9, 105)(6, 102, 15, 111, 32, 128, 61, 157, 35, 131, 16, 112)(11, 107, 26, 122, 52, 148, 82, 178, 48, 144, 23, 119)(13, 109, 29, 125, 56, 152, 74, 170, 58, 154, 30, 126)(18, 114, 39, 135, 72, 168, 47, 143, 68, 164, 36, 132)(19, 115, 40, 136, 73, 169, 92, 188, 75, 171, 41, 137)(21, 117, 43, 139, 77, 173, 57, 153, 79, 175, 44, 140)(25, 121, 51, 147, 83, 179, 94, 190, 66, 162, 49, 145)(28, 124, 55, 151, 85, 181, 87, 183, 81, 177, 53, 149)(31, 127, 50, 146, 62, 158, 89, 185, 86, 182, 59, 155)(33, 129, 63, 159, 90, 186, 67, 163, 88, 184, 60, 156)(34, 130, 64, 160, 91, 187, 78, 174, 93, 189, 65, 161)(38, 134, 71, 167, 95, 191, 80, 176, 45, 141, 69, 165)(42, 138, 70, 166, 54, 150, 84, 180, 96, 192, 76, 172)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 109)(6, 100)(7, 101)(8, 115)(9, 117)(10, 119)(11, 99)(12, 112)(13, 114)(14, 127)(15, 104)(16, 130)(17, 132)(18, 103)(19, 129)(20, 138)(21, 107)(22, 141)(23, 143)(24, 145)(25, 106)(26, 140)(27, 149)(28, 108)(29, 110)(30, 151)(31, 153)(32, 156)(33, 111)(34, 124)(35, 162)(36, 163)(37, 165)(38, 113)(39, 126)(40, 116)(41, 122)(42, 170)(43, 118)(44, 159)(45, 174)(46, 166)(47, 121)(48, 177)(49, 157)(50, 120)(51, 168)(52, 171)(53, 178)(54, 123)(55, 161)(56, 173)(57, 125)(58, 172)(59, 167)(60, 183)(61, 146)(62, 128)(63, 137)(64, 131)(65, 135)(66, 188)(67, 134)(68, 144)(69, 142)(70, 133)(71, 186)(72, 189)(73, 152)(74, 136)(75, 190)(76, 185)(77, 187)(78, 139)(79, 155)(80, 147)(81, 184)(82, 150)(83, 191)(84, 148)(85, 154)(86, 192)(87, 158)(88, 164)(89, 181)(90, 175)(91, 169)(92, 160)(93, 176)(94, 180)(95, 182)(96, 179)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.303
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 72
	degree seq :: [ 12^16 ]

E5.308 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-2)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 21, 117)(11, 107, 22, 118)(13, 109, 26, 122)(14, 110, 27, 123)(15, 111, 30, 126)(18, 114, 34, 130)(19, 115, 36, 132)(20, 116, 31, 127)(23, 119, 43, 139)(24, 120, 44, 140)(25, 121, 47, 143)(28, 124, 50, 146)(29, 125, 51, 147)(32, 128, 54, 150)(33, 129, 56, 152)(35, 131, 57, 153)(37, 133, 61, 157)(38, 134, 55, 151)(39, 135, 60, 156)(40, 136, 65, 161)(41, 137, 66, 162)(42, 138, 69, 165)(45, 141, 71, 167)(46, 142, 72, 168)(48, 144, 74, 170)(49, 145, 75, 171)(52, 148, 79, 175)(53, 149, 80, 176)(58, 154, 82, 178)(59, 155, 77, 173)(62, 158, 84, 180)(63, 159, 78, 174)(64, 160, 87, 183)(67, 163, 88, 184)(68, 164, 89, 185)(70, 166, 90, 186)(73, 169, 92, 188)(76, 172, 94, 190)(81, 177, 91, 187)(83, 179, 93, 189)(85, 181, 95, 191)(86, 182, 96, 192)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 115)(10, 100)(11, 106)(12, 119)(13, 121)(14, 102)(15, 125)(16, 127)(17, 129)(18, 104)(19, 131)(20, 105)(21, 134)(22, 136)(23, 138)(24, 108)(25, 142)(26, 113)(27, 145)(28, 110)(29, 114)(30, 148)(31, 149)(32, 112)(33, 151)(34, 153)(35, 155)(36, 156)(37, 116)(38, 158)(39, 117)(40, 160)(41, 118)(42, 164)(43, 123)(44, 128)(45, 120)(46, 124)(47, 169)(48, 122)(49, 132)(50, 126)(51, 168)(52, 174)(53, 161)(54, 177)(55, 162)(56, 178)(57, 179)(58, 130)(59, 133)(60, 166)(61, 180)(62, 181)(63, 135)(64, 182)(65, 140)(66, 144)(67, 137)(68, 141)(69, 154)(70, 139)(71, 143)(72, 185)(73, 157)(74, 189)(75, 190)(76, 146)(77, 147)(78, 183)(79, 150)(80, 188)(81, 152)(82, 186)(83, 184)(84, 187)(85, 159)(86, 163)(87, 172)(88, 165)(89, 192)(90, 175)(91, 167)(92, 170)(93, 171)(94, 176)(95, 173)(96, 191)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.304
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 40
	degree seq :: [ 4^48 ]

E5.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^4, (Y3 * Y2^-1)^6, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 46, 142)(29, 125, 49, 145)(32, 128, 54, 150)(34, 130, 57, 153)(35, 131, 59, 155)(37, 133, 62, 158)(39, 135, 64, 160)(40, 136, 56, 152)(42, 138, 61, 157)(43, 139, 53, 149)(45, 141, 58, 154)(47, 143, 63, 159)(48, 144, 55, 151)(50, 146, 60, 156)(51, 147, 52, 148)(65, 161, 79, 175)(66, 162, 85, 181)(67, 163, 77, 173)(68, 164, 80, 176)(69, 165, 75, 171)(70, 166, 78, 174)(71, 167, 83, 179)(72, 168, 84, 180)(73, 169, 81, 177)(74, 170, 82, 178)(76, 172, 88, 184)(86, 182, 91, 187)(87, 183, 92, 188)(89, 185, 93, 189)(90, 186, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 196, 292)(194, 290, 197, 293, 203, 299, 198, 294)(199, 295, 205, 301, 216, 312, 206, 302)(201, 297, 208, 304, 221, 317, 209, 305)(202, 298, 210, 306, 224, 320, 211, 307)(204, 300, 213, 309, 229, 325, 214, 310)(207, 303, 218, 314, 237, 333, 219, 315)(212, 308, 226, 322, 250, 346, 227, 323)(215, 311, 231, 327, 257, 353, 232, 328)(217, 313, 234, 330, 260, 356, 235, 331)(220, 316, 239, 335, 265, 361, 240, 336)(222, 318, 242, 338, 266, 362, 243, 339)(223, 319, 244, 340, 267, 363, 245, 341)(225, 321, 247, 343, 270, 366, 248, 344)(228, 324, 252, 348, 275, 371, 253, 349)(230, 326, 255, 351, 276, 372, 256, 352)(233, 329, 258, 354, 241, 337, 259, 355)(236, 332, 261, 357, 278, 374, 262, 358)(238, 334, 263, 359, 279, 375, 264, 360)(246, 342, 268, 364, 254, 350, 269, 365)(249, 345, 271, 367, 281, 377, 272, 368)(251, 347, 273, 369, 282, 378, 274, 370)(277, 373, 283, 379, 287, 383, 284, 380)(280, 376, 285, 381, 288, 384, 286, 382)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 233)(25, 206)(26, 236)(27, 238)(28, 208)(29, 241)(30, 209)(31, 210)(32, 246)(33, 211)(34, 249)(35, 251)(36, 213)(37, 254)(38, 214)(39, 256)(40, 248)(41, 216)(42, 253)(43, 245)(44, 218)(45, 250)(46, 219)(47, 255)(48, 247)(49, 221)(50, 252)(51, 244)(52, 243)(53, 235)(54, 224)(55, 240)(56, 232)(57, 226)(58, 237)(59, 227)(60, 242)(61, 234)(62, 229)(63, 239)(64, 231)(65, 271)(66, 277)(67, 269)(68, 272)(69, 267)(70, 270)(71, 275)(72, 276)(73, 273)(74, 274)(75, 261)(76, 280)(77, 259)(78, 262)(79, 257)(80, 260)(81, 265)(82, 266)(83, 263)(84, 264)(85, 258)(86, 283)(87, 284)(88, 268)(89, 285)(90, 286)(91, 278)(92, 279)(93, 281)(94, 282)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.312
Graph:: bipartite
	v = 72 e = 192 f = 112
	degree seq :: [ 4^48, 8^24 ]

E5.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2^6, (Y2 * Y1^-1)^4, Y1^-1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2^3 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 21, 117, 11, 107)(5, 101, 13, 109, 18, 114, 7, 103)(8, 104, 19, 115, 33, 129, 15, 111)(10, 106, 23, 119, 47, 143, 25, 121)(12, 108, 16, 112, 34, 130, 28, 124)(14, 110, 31, 127, 57, 153, 29, 125)(17, 113, 36, 132, 67, 163, 38, 134)(20, 116, 42, 138, 74, 170, 40, 136)(22, 118, 45, 141, 78, 174, 43, 139)(24, 120, 49, 145, 61, 157, 50, 146)(26, 122, 44, 140, 63, 159, 41, 137)(27, 123, 53, 149, 82, 178, 54, 150)(30, 126, 55, 151, 65, 161, 39, 135)(32, 128, 60, 156, 87, 183, 62, 158)(35, 131, 66, 162, 92, 188, 64, 160)(37, 133, 69, 165, 46, 142, 70, 166)(48, 144, 81, 177, 88, 184, 68, 164)(51, 147, 72, 168, 93, 189, 80, 176)(52, 148, 75, 171, 94, 190, 84, 180)(56, 152, 77, 173, 91, 187, 73, 169)(58, 154, 76, 172, 89, 185, 85, 181)(59, 155, 71, 167, 90, 186, 79, 175)(83, 179, 95, 191, 86, 182, 96, 192)(193, 289, 195, 291, 202, 298, 216, 312, 206, 302, 197, 293)(194, 290, 199, 295, 209, 305, 229, 325, 212, 308, 200, 296)(196, 292, 204, 300, 219, 315, 238, 334, 214, 310, 201, 297)(198, 294, 207, 303, 224, 320, 253, 349, 227, 323, 208, 304)(203, 299, 218, 314, 244, 340, 274, 370, 240, 336, 215, 311)(205, 301, 221, 317, 248, 344, 266, 362, 250, 346, 222, 318)(210, 306, 231, 327, 264, 360, 239, 335, 260, 356, 228, 324)(211, 307, 232, 328, 265, 361, 284, 380, 267, 363, 233, 329)(213, 309, 235, 331, 269, 365, 249, 345, 271, 367, 236, 332)(217, 313, 243, 339, 275, 371, 286, 382, 258, 354, 241, 337)(220, 316, 247, 343, 277, 373, 279, 375, 273, 369, 245, 341)(223, 319, 242, 338, 254, 350, 281, 377, 278, 374, 251, 347)(225, 321, 255, 351, 282, 378, 259, 355, 280, 376, 252, 348)(226, 322, 256, 352, 283, 379, 270, 366, 285, 381, 257, 353)(230, 326, 263, 359, 287, 383, 272, 368, 237, 333, 261, 357)(234, 330, 262, 358, 246, 342, 276, 372, 288, 384, 268, 364)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 218)(12, 219)(13, 221)(14, 197)(15, 224)(16, 198)(17, 229)(18, 231)(19, 232)(20, 200)(21, 235)(22, 201)(23, 203)(24, 206)(25, 243)(26, 244)(27, 238)(28, 247)(29, 248)(30, 205)(31, 242)(32, 253)(33, 255)(34, 256)(35, 208)(36, 210)(37, 212)(38, 263)(39, 264)(40, 265)(41, 211)(42, 262)(43, 269)(44, 213)(45, 261)(46, 214)(47, 260)(48, 215)(49, 217)(50, 254)(51, 275)(52, 274)(53, 220)(54, 276)(55, 277)(56, 266)(57, 271)(58, 222)(59, 223)(60, 225)(61, 227)(62, 281)(63, 282)(64, 283)(65, 226)(66, 241)(67, 280)(68, 228)(69, 230)(70, 246)(71, 287)(72, 239)(73, 284)(74, 250)(75, 233)(76, 234)(77, 249)(78, 285)(79, 236)(80, 237)(81, 245)(82, 240)(83, 286)(84, 288)(85, 279)(86, 251)(87, 273)(88, 252)(89, 278)(90, 259)(91, 270)(92, 267)(93, 257)(94, 258)(95, 272)(96, 268)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.311
Graph:: bipartite
	v = 40 e = 192 f = 144
	degree seq :: [ 8^24, 12^16 ]

E5.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-1 * Y2 * Y3 * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^6, (Y3^-1 * Y2 * Y3^-1)^4 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 216, 312)(206, 302, 220, 316)(207, 303, 219, 315)(208, 304, 222, 318)(210, 306, 226, 322)(211, 307, 227, 323)(212, 308, 214, 310)(215, 311, 233, 329)(217, 313, 237, 333)(218, 314, 238, 334)(221, 317, 243, 339)(223, 319, 236, 332)(224, 320, 246, 342)(225, 321, 234, 330)(228, 324, 241, 337)(229, 325, 253, 349)(230, 326, 239, 335)(231, 327, 251, 347)(232, 328, 256, 352)(235, 331, 259, 355)(240, 336, 266, 362)(242, 338, 264, 360)(244, 340, 262, 358)(245, 341, 271, 367)(247, 343, 268, 364)(248, 344, 270, 366)(249, 345, 257, 353)(250, 346, 265, 361)(252, 348, 263, 359)(254, 350, 276, 372)(255, 351, 260, 356)(258, 354, 280, 376)(261, 357, 279, 375)(267, 363, 285, 381)(269, 365, 278, 374)(272, 368, 281, 377)(273, 369, 283, 379)(274, 370, 282, 378)(275, 371, 286, 382)(277, 373, 284, 380)(287, 383, 288, 384)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 214)(12, 217)(13, 218)(14, 198)(15, 221)(16, 199)(17, 224)(18, 202)(19, 228)(20, 201)(21, 230)(22, 232)(23, 203)(24, 235)(25, 206)(26, 239)(27, 205)(28, 241)(29, 244)(30, 245)(31, 208)(32, 247)(33, 209)(34, 249)(35, 251)(36, 252)(37, 212)(38, 254)(39, 213)(40, 257)(41, 258)(42, 215)(43, 260)(44, 216)(45, 262)(46, 264)(47, 265)(48, 219)(49, 267)(50, 220)(51, 269)(52, 223)(53, 227)(54, 222)(55, 273)(56, 225)(57, 274)(58, 226)(59, 272)(60, 229)(61, 276)(62, 277)(63, 231)(64, 278)(65, 234)(66, 238)(67, 233)(68, 282)(69, 236)(70, 283)(71, 237)(72, 281)(73, 240)(74, 285)(75, 286)(76, 242)(77, 253)(78, 243)(79, 279)(80, 246)(81, 248)(82, 287)(83, 250)(84, 280)(85, 255)(86, 266)(87, 256)(88, 270)(89, 259)(90, 261)(91, 288)(92, 263)(93, 271)(94, 268)(95, 275)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.310
Graph:: simple bipartite
	v = 144 e = 192 f = 40
	degree seq :: [ 2^96, 4^48 ]

E5.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^4, Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 29, 125, 18, 114, 8, 104)(6, 102, 13, 109, 25, 121, 46, 142, 28, 124, 14, 110)(9, 105, 19, 115, 35, 131, 59, 155, 37, 133, 20, 116)(12, 108, 23, 119, 42, 138, 68, 164, 45, 141, 24, 120)(16, 112, 31, 127, 53, 149, 65, 161, 44, 140, 32, 128)(17, 113, 33, 129, 55, 151, 66, 162, 48, 144, 26, 122)(21, 117, 38, 134, 62, 158, 85, 181, 63, 159, 39, 135)(22, 118, 40, 136, 64, 160, 86, 182, 67, 163, 41, 137)(27, 123, 49, 145, 36, 132, 60, 156, 70, 166, 43, 139)(30, 126, 52, 148, 78, 174, 87, 183, 76, 172, 50, 146)(34, 130, 57, 153, 83, 179, 88, 184, 69, 165, 58, 154)(47, 143, 73, 169, 61, 157, 84, 180, 91, 187, 71, 167)(51, 147, 72, 168, 89, 185, 96, 192, 95, 191, 77, 173)(54, 150, 81, 177, 56, 152, 82, 178, 90, 186, 79, 175)(74, 170, 93, 189, 75, 171, 94, 190, 80, 176, 92, 188)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 214)(12, 197)(13, 218)(14, 219)(15, 222)(16, 199)(17, 200)(18, 226)(19, 228)(20, 223)(21, 202)(22, 203)(23, 235)(24, 236)(25, 239)(26, 205)(27, 206)(28, 242)(29, 243)(30, 207)(31, 212)(32, 246)(33, 248)(34, 210)(35, 249)(36, 211)(37, 253)(38, 247)(39, 252)(40, 257)(41, 258)(42, 261)(43, 215)(44, 216)(45, 263)(46, 264)(47, 217)(48, 266)(49, 267)(50, 220)(51, 221)(52, 271)(53, 272)(54, 224)(55, 230)(56, 225)(57, 227)(58, 274)(59, 269)(60, 231)(61, 229)(62, 276)(63, 270)(64, 279)(65, 232)(66, 233)(67, 280)(68, 281)(69, 234)(70, 282)(71, 237)(72, 238)(73, 284)(74, 240)(75, 241)(76, 286)(77, 251)(78, 255)(79, 244)(80, 245)(81, 283)(82, 250)(83, 285)(84, 254)(85, 287)(86, 288)(87, 256)(88, 259)(89, 260)(90, 262)(91, 273)(92, 265)(93, 275)(94, 268)(95, 277)(96, 278)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.309
Graph:: simple bipartite
	v = 112 e = 192 f = 72
	degree seq :: [ 2^96, 12^16 ]

E5.313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y3 * Y2^-1)^4, (Y2 * Y1 * Y2^-2 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^4 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 24, 120)(14, 110, 28, 124)(15, 111, 27, 123)(16, 112, 30, 126)(18, 114, 34, 130)(19, 115, 35, 131)(20, 116, 22, 118)(23, 119, 41, 137)(25, 121, 45, 141)(26, 122, 46, 142)(29, 125, 51, 147)(31, 127, 44, 140)(32, 128, 54, 150)(33, 129, 42, 138)(36, 132, 49, 145)(37, 133, 61, 157)(38, 134, 47, 143)(39, 135, 59, 155)(40, 136, 64, 160)(43, 139, 67, 163)(48, 144, 74, 170)(50, 146, 72, 168)(52, 148, 70, 166)(53, 149, 79, 175)(55, 151, 76, 172)(56, 152, 78, 174)(57, 153, 65, 161)(58, 154, 73, 169)(60, 156, 71, 167)(62, 158, 84, 180)(63, 159, 68, 164)(66, 162, 88, 184)(69, 165, 87, 183)(75, 171, 93, 189)(77, 173, 86, 182)(80, 176, 89, 185)(81, 177, 91, 187)(82, 178, 90, 186)(83, 179, 94, 190)(85, 181, 92, 188)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 217, 313, 206, 302, 198, 294)(199, 295, 207, 303, 221, 317, 244, 340, 223, 319, 208, 304)(201, 297, 211, 307, 228, 324, 252, 348, 229, 325, 212, 308)(203, 299, 214, 310, 232, 328, 257, 353, 234, 330, 215, 311)(205, 301, 218, 314, 239, 335, 265, 361, 240, 336, 219, 315)(209, 305, 224, 320, 247, 343, 273, 369, 248, 344, 225, 321)(213, 309, 230, 326, 254, 350, 277, 373, 255, 351, 231, 327)(216, 312, 235, 331, 260, 356, 282, 378, 261, 357, 236, 332)(220, 316, 241, 337, 267, 363, 286, 382, 268, 364, 242, 338)(222, 318, 245, 341, 227, 323, 251, 347, 272, 368, 246, 342)(226, 322, 249, 345, 274, 370, 287, 383, 275, 371, 250, 346)(233, 329, 258, 354, 238, 334, 264, 360, 281, 377, 259, 355)(237, 333, 262, 358, 283, 379, 288, 384, 284, 380, 263, 359)(243, 339, 269, 365, 253, 349, 276, 372, 280, 376, 270, 366)(256, 352, 278, 374, 266, 362, 285, 381, 271, 367, 279, 375)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 219)(16, 222)(17, 200)(18, 226)(19, 227)(20, 214)(21, 202)(22, 212)(23, 233)(24, 204)(25, 237)(26, 238)(27, 207)(28, 206)(29, 243)(30, 208)(31, 236)(32, 246)(33, 234)(34, 210)(35, 211)(36, 241)(37, 253)(38, 239)(39, 251)(40, 256)(41, 215)(42, 225)(43, 259)(44, 223)(45, 217)(46, 218)(47, 230)(48, 266)(49, 228)(50, 264)(51, 221)(52, 262)(53, 271)(54, 224)(55, 268)(56, 270)(57, 257)(58, 265)(59, 231)(60, 263)(61, 229)(62, 276)(63, 260)(64, 232)(65, 249)(66, 280)(67, 235)(68, 255)(69, 279)(70, 244)(71, 252)(72, 242)(73, 250)(74, 240)(75, 285)(76, 247)(77, 278)(78, 248)(79, 245)(80, 281)(81, 283)(82, 282)(83, 286)(84, 254)(85, 284)(86, 269)(87, 261)(88, 258)(89, 272)(90, 274)(91, 273)(92, 277)(93, 267)(94, 275)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.314
Graph:: bipartite
	v = 64 e = 192 f = 120
	degree seq :: [ 4^48, 12^16 ]

E5.314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y3^2 * Y1^-1 * Y3^-1 * Y1 * Y3^-3 * Y1^-2, Y3^-3 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-2, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 21, 117, 11, 107)(5, 101, 13, 109, 18, 114, 7, 103)(8, 104, 19, 115, 33, 129, 15, 111)(10, 106, 23, 119, 47, 143, 25, 121)(12, 108, 16, 112, 34, 130, 28, 124)(14, 110, 31, 127, 57, 153, 29, 125)(17, 113, 36, 132, 67, 163, 38, 134)(20, 116, 42, 138, 74, 170, 40, 136)(22, 118, 45, 141, 78, 174, 43, 139)(24, 120, 49, 145, 61, 157, 50, 146)(26, 122, 44, 140, 63, 159, 41, 137)(27, 123, 53, 149, 82, 178, 54, 150)(30, 126, 55, 151, 65, 161, 39, 135)(32, 128, 60, 156, 87, 183, 62, 158)(35, 131, 66, 162, 92, 188, 64, 160)(37, 133, 69, 165, 46, 142, 70, 166)(48, 144, 81, 177, 88, 184, 68, 164)(51, 147, 72, 168, 93, 189, 80, 176)(52, 148, 75, 171, 94, 190, 84, 180)(56, 152, 77, 173, 91, 187, 73, 169)(58, 154, 76, 172, 89, 185, 85, 181)(59, 155, 71, 167, 90, 186, 79, 175)(83, 179, 95, 191, 86, 182, 96, 192)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 218)(12, 219)(13, 221)(14, 197)(15, 224)(16, 198)(17, 229)(18, 231)(19, 232)(20, 200)(21, 235)(22, 201)(23, 203)(24, 206)(25, 243)(26, 244)(27, 238)(28, 247)(29, 248)(30, 205)(31, 242)(32, 253)(33, 255)(34, 256)(35, 208)(36, 210)(37, 212)(38, 263)(39, 264)(40, 265)(41, 211)(42, 262)(43, 269)(44, 213)(45, 261)(46, 214)(47, 260)(48, 215)(49, 217)(50, 254)(51, 275)(52, 274)(53, 220)(54, 276)(55, 277)(56, 266)(57, 271)(58, 222)(59, 223)(60, 225)(61, 227)(62, 281)(63, 282)(64, 283)(65, 226)(66, 241)(67, 280)(68, 228)(69, 230)(70, 246)(71, 287)(72, 239)(73, 284)(74, 250)(75, 233)(76, 234)(77, 249)(78, 285)(79, 236)(80, 237)(81, 245)(82, 240)(83, 286)(84, 288)(85, 279)(86, 251)(87, 273)(88, 252)(89, 278)(90, 259)(91, 270)(92, 267)(93, 257)(94, 258)(95, 272)(96, 268)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E5.313
Graph:: simple bipartite
	v = 120 e = 192 f = 64
	degree seq :: [ 2^96, 8^24 ]

E5.315 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 10})
Quotient :: regular
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T2 * T1)^3, T1^10, (T1 * T2 * T1^-1 * T2 * T1^2)^2, (T2 * T1^-5)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 36, 20, 10, 4)(3, 7, 15, 27, 47, 62, 54, 31, 17, 8)(6, 13, 25, 43, 71, 61, 76, 46, 26, 14)(9, 18, 32, 55, 64, 38, 63, 51, 29, 16)(12, 23, 41, 67, 59, 35, 60, 70, 42, 24)(19, 34, 58, 66, 40, 22, 39, 65, 57, 33)(28, 49, 78, 97, 82, 53, 83, 100, 79, 50)(30, 52, 81, 96, 75, 48, 77, 94, 73, 44)(45, 74, 95, 110, 92, 72, 93, 108, 90, 68)(56, 84, 102, 114, 98, 80, 88, 106, 103, 85)(69, 91, 109, 104, 86, 89, 107, 116, 105, 87)(99, 115, 118, 112, 101, 113, 119, 120, 117, 111)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 62)(40, 63)(41, 68)(42, 69)(43, 72)(46, 75)(47, 76)(50, 77)(51, 80)(52, 82)(54, 64)(55, 83)(57, 84)(58, 86)(60, 71)(65, 87)(66, 88)(67, 89)(70, 92)(73, 93)(74, 96)(78, 98)(79, 99)(81, 101)(85, 100)(90, 107)(91, 110)(94, 111)(95, 112)(97, 113)(102, 105)(103, 115)(104, 106)(108, 117)(109, 118)(114, 119)(116, 120)
	local type(s) :: { ( 3^10 ) }
Outer automorphisms :: reflexible
Dual of E5.316
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 12 e = 60 f = 40
	degree seq :: [ 10^12 ]

E5.316 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 10})
Quotient :: regular
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2, (T1^-1 * T2)^10, (T2 * T1 * T2 * T1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 82)(60, 84, 85)(61, 86, 87)(62, 88, 76)(63, 89, 90)(64, 91, 77)(65, 92, 79)(66, 93, 94)(75, 99, 98)(78, 100, 95)(80, 101, 96)(81, 102, 97)(103, 111, 110)(104, 115, 107)(105, 113, 108)(106, 116, 109)(112, 117, 114)(118, 120, 119)
	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, 93)(68, 95)(69, 96)(70, 84)(71, 97)(72, 86)(73, 89)(74, 98)(83, 103)(85, 104)(87, 105)(88, 106)(90, 107)(91, 108)(92, 109)(94, 110)(99, 111)(100, 112)(101, 113)(102, 114)(115, 118)(116, 119)(117, 120)
	local type(s) :: { ( 10^3 ) }
Outer automorphisms :: reflexible
Dual of E5.315
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 40 e = 60 f = 12
	degree seq :: [ 3^40 ]

E5.317 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 10})
Quotient :: edge
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1)^2, (T2^-1 * T1)^10, (T2 * T1 * T2^-1 * T1)^5 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 107, 98)(92, 108, 95)(93, 109, 96)(94, 110, 97)(99, 111, 106)(100, 112, 103)(101, 113, 104)(102, 114, 105)(115, 119, 116)(117, 120, 118)(121, 122)(123, 127)(124, 128)(125, 129)(126, 130)(131, 139)(132, 140)(133, 141)(134, 142)(135, 143)(136, 144)(137, 145)(138, 146)(147, 163)(148, 164)(149, 165)(150, 166)(151, 167)(152, 168)(153, 169)(154, 170)(155, 171)(156, 172)(157, 173)(158, 174)(159, 175)(160, 176)(161, 177)(162, 178)(179, 211)(180, 202)(181, 206)(182, 212)(183, 208)(184, 213)(185, 214)(186, 196)(187, 209)(188, 215)(189, 216)(190, 197)(191, 217)(192, 199)(193, 203)(194, 218)(195, 219)(198, 220)(200, 221)(201, 222)(204, 223)(205, 224)(207, 225)(210, 226)(227, 231)(228, 235)(229, 233)(230, 236)(232, 237)(234, 238)(239, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 20 ), ( 20^3 ) }
Outer automorphisms :: reflexible
Dual of E5.321
Transitivity :: ET+
Graph:: simple bipartite
	v = 100 e = 120 f = 12
	degree seq :: [ 2^60, 3^40 ]

E5.318 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 10})
Quotient :: edge
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1 * T2^2)^2, T2^10 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 67, 48, 26, 13, 5)(2, 6, 14, 27, 50, 83, 58, 32, 16, 7)(4, 11, 22, 41, 73, 92, 62, 34, 17, 8)(10, 21, 40, 70, 47, 80, 74, 64, 35, 18)(12, 23, 43, 76, 57, 66, 38, 68, 44, 24)(15, 29, 53, 86, 61, 82, 51, 84, 54, 30)(20, 39, 69, 46, 25, 45, 79, 97, 65, 36)(28, 52, 85, 56, 31, 55, 89, 104, 81, 49)(33, 59, 90, 108, 95, 72, 42, 75, 91, 60)(63, 93, 109, 118, 112, 99, 71, 100, 110, 94)(77, 98, 113, 102, 78, 96, 111, 119, 114, 101)(87, 105, 116, 107, 88, 103, 115, 120, 117, 106)(121, 122, 124)(123, 128, 130)(125, 132, 126)(127, 135, 131)(129, 138, 140)(133, 145, 143)(134, 144, 148)(136, 151, 149)(137, 153, 141)(139, 156, 158)(142, 150, 162)(146, 167, 165)(147, 169, 171)(152, 177, 175)(154, 181, 179)(155, 183, 159)(157, 186, 178)(160, 180, 191)(161, 192, 194)(163, 166, 197)(164, 198, 172)(168, 193, 200)(170, 202, 182)(173, 176, 207)(174, 208, 195)(184, 215, 213)(185, 216, 188)(187, 203, 212)(189, 214, 218)(190, 219, 199)(196, 221, 209)(201, 223, 204)(205, 222, 225)(206, 226, 210)(211, 227, 220)(217, 232, 231)(224, 234, 235)(228, 237, 229)(230, 236, 233)(238, 240, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^3 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E5.322
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 120 f = 60
	degree seq :: [ 3^40, 10^12 ]

E5.319 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 10})
Quotient :: edge
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^3, T1^10, T1^-3 * T2 * T1^5 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 62)(40, 63)(41, 68)(42, 69)(43, 72)(46, 75)(47, 76)(50, 77)(51, 80)(52, 82)(54, 64)(55, 83)(57, 84)(58, 86)(60, 71)(65, 87)(66, 88)(67, 89)(70, 92)(73, 93)(74, 96)(78, 98)(79, 99)(81, 101)(85, 100)(90, 107)(91, 110)(94, 111)(95, 112)(97, 113)(102, 105)(103, 115)(104, 106)(108, 117)(109, 118)(114, 119)(116, 120)(121, 122, 125, 131, 141, 157, 156, 140, 130, 124)(123, 127, 135, 147, 167, 182, 174, 151, 137, 128)(126, 133, 145, 163, 191, 181, 196, 166, 146, 134)(129, 138, 152, 175, 184, 158, 183, 171, 149, 136)(132, 143, 161, 187, 179, 155, 180, 190, 162, 144)(139, 154, 178, 186, 160, 142, 159, 185, 177, 153)(148, 169, 198, 217, 202, 173, 203, 220, 199, 170)(150, 172, 201, 216, 195, 168, 197, 214, 193, 164)(165, 194, 215, 230, 212, 192, 213, 228, 210, 188)(176, 204, 222, 234, 218, 200, 208, 226, 223, 205)(189, 211, 229, 224, 206, 209, 227, 236, 225, 207)(219, 235, 238, 232, 221, 233, 239, 240, 237, 231)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 6 ), ( 6^10 ) }
Outer automorphisms :: reflexible
Dual of E5.320
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 120 f = 40
	degree seq :: [ 2^60, 10^12 ]

E5.320 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 10})
Quotient :: loop
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1)^2, (T2^-1 * T1)^10, (T2 * T1 * T2^-1 * T1)^5 ]
Map::
	R = (1, 121, 3, 123, 4, 124)(2, 122, 5, 125, 6, 126)(7, 127, 11, 131, 12, 132)(8, 128, 13, 133, 14, 134)(9, 129, 15, 135, 16, 136)(10, 130, 17, 137, 18, 138)(19, 139, 27, 147, 28, 148)(20, 140, 29, 149, 30, 150)(21, 141, 31, 151, 32, 152)(22, 142, 33, 153, 34, 154)(23, 143, 35, 155, 36, 156)(24, 144, 37, 157, 38, 158)(25, 145, 39, 159, 40, 160)(26, 146, 41, 161, 42, 162)(43, 163, 59, 179, 60, 180)(44, 164, 61, 181, 62, 182)(45, 165, 63, 183, 64, 184)(46, 166, 65, 185, 66, 186)(47, 167, 67, 187, 68, 188)(48, 168, 69, 189, 70, 190)(49, 169, 71, 191, 72, 192)(50, 170, 73, 193, 74, 194)(51, 171, 75, 195, 76, 196)(52, 172, 77, 197, 78, 198)(53, 173, 79, 199, 80, 200)(54, 174, 81, 201, 82, 202)(55, 175, 83, 203, 84, 204)(56, 176, 85, 205, 86, 206)(57, 177, 87, 207, 88, 208)(58, 178, 89, 209, 90, 210)(91, 211, 107, 227, 98, 218)(92, 212, 108, 228, 95, 215)(93, 213, 109, 229, 96, 216)(94, 214, 110, 230, 97, 217)(99, 219, 111, 231, 106, 226)(100, 220, 112, 232, 103, 223)(101, 221, 113, 233, 104, 224)(102, 222, 114, 234, 105, 225)(115, 235, 119, 239, 116, 236)(117, 237, 120, 240, 118, 238)
	L = (1, 122)(2, 121)(3, 127)(4, 128)(5, 129)(6, 130)(7, 123)(8, 124)(9, 125)(10, 126)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 163)(28, 164)(29, 165)(30, 166)(31, 167)(32, 168)(33, 169)(34, 170)(35, 171)(36, 172)(37, 173)(38, 174)(39, 175)(40, 176)(41, 177)(42, 178)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 211)(60, 202)(61, 206)(62, 212)(63, 208)(64, 213)(65, 214)(66, 196)(67, 209)(68, 215)(69, 216)(70, 197)(71, 217)(72, 199)(73, 203)(74, 218)(75, 219)(76, 186)(77, 190)(78, 220)(79, 192)(80, 221)(81, 222)(82, 180)(83, 193)(84, 223)(85, 224)(86, 181)(87, 225)(88, 183)(89, 187)(90, 226)(91, 179)(92, 182)(93, 184)(94, 185)(95, 188)(96, 189)(97, 191)(98, 194)(99, 195)(100, 198)(101, 200)(102, 201)(103, 204)(104, 205)(105, 207)(106, 210)(107, 231)(108, 235)(109, 233)(110, 236)(111, 227)(112, 237)(113, 229)(114, 238)(115, 228)(116, 230)(117, 232)(118, 234)(119, 240)(120, 239)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E5.319
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 40 e = 120 f = 72
	degree seq :: [ 6^40 ]

E5.321 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 10})
Quotient :: loop
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1 * T2^2)^2, T2^10 ]
Map::
	R = (1, 121, 3, 123, 9, 129, 19, 139, 37, 157, 67, 187, 48, 168, 26, 146, 13, 133, 5, 125)(2, 122, 6, 126, 14, 134, 27, 147, 50, 170, 83, 203, 58, 178, 32, 152, 16, 136, 7, 127)(4, 124, 11, 131, 22, 142, 41, 161, 73, 193, 92, 212, 62, 182, 34, 154, 17, 137, 8, 128)(10, 130, 21, 141, 40, 160, 70, 190, 47, 167, 80, 200, 74, 194, 64, 184, 35, 155, 18, 138)(12, 132, 23, 143, 43, 163, 76, 196, 57, 177, 66, 186, 38, 158, 68, 188, 44, 164, 24, 144)(15, 135, 29, 149, 53, 173, 86, 206, 61, 181, 82, 202, 51, 171, 84, 204, 54, 174, 30, 150)(20, 140, 39, 159, 69, 189, 46, 166, 25, 145, 45, 165, 79, 199, 97, 217, 65, 185, 36, 156)(28, 148, 52, 172, 85, 205, 56, 176, 31, 151, 55, 175, 89, 209, 104, 224, 81, 201, 49, 169)(33, 153, 59, 179, 90, 210, 108, 228, 95, 215, 72, 192, 42, 162, 75, 195, 91, 211, 60, 180)(63, 183, 93, 213, 109, 229, 118, 238, 112, 232, 99, 219, 71, 191, 100, 220, 110, 230, 94, 214)(77, 197, 98, 218, 113, 233, 102, 222, 78, 198, 96, 216, 111, 231, 119, 239, 114, 234, 101, 221)(87, 207, 105, 225, 116, 236, 107, 227, 88, 208, 103, 223, 115, 235, 120, 240, 117, 237, 106, 226)
	L = (1, 122)(2, 124)(3, 128)(4, 121)(5, 132)(6, 125)(7, 135)(8, 130)(9, 138)(10, 123)(11, 127)(12, 126)(13, 145)(14, 144)(15, 131)(16, 151)(17, 153)(18, 140)(19, 156)(20, 129)(21, 137)(22, 150)(23, 133)(24, 148)(25, 143)(26, 167)(27, 169)(28, 134)(29, 136)(30, 162)(31, 149)(32, 177)(33, 141)(34, 181)(35, 183)(36, 158)(37, 186)(38, 139)(39, 155)(40, 180)(41, 192)(42, 142)(43, 166)(44, 198)(45, 146)(46, 197)(47, 165)(48, 193)(49, 171)(50, 202)(51, 147)(52, 164)(53, 176)(54, 208)(55, 152)(56, 207)(57, 175)(58, 157)(59, 154)(60, 191)(61, 179)(62, 170)(63, 159)(64, 215)(65, 216)(66, 178)(67, 203)(68, 185)(69, 214)(70, 219)(71, 160)(72, 194)(73, 200)(74, 161)(75, 174)(76, 221)(77, 163)(78, 172)(79, 190)(80, 168)(81, 223)(82, 182)(83, 212)(84, 201)(85, 222)(86, 226)(87, 173)(88, 195)(89, 196)(90, 206)(91, 227)(92, 187)(93, 184)(94, 218)(95, 213)(96, 188)(97, 232)(98, 189)(99, 199)(100, 211)(101, 209)(102, 225)(103, 204)(104, 234)(105, 205)(106, 210)(107, 220)(108, 237)(109, 228)(110, 236)(111, 217)(112, 231)(113, 230)(114, 235)(115, 224)(116, 233)(117, 229)(118, 240)(119, 238)(120, 239)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E5.317
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 120 f = 100
	degree seq :: [ 20^12 ]

E5.322 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 10})
Quotient :: loop
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^3, T1^10, T1^-3 * T2 * T1^5 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123)(2, 122, 6, 126)(4, 124, 9, 129)(5, 125, 12, 132)(7, 127, 16, 136)(8, 128, 13, 133)(10, 130, 19, 139)(11, 131, 22, 142)(14, 134, 23, 143)(15, 135, 28, 148)(17, 137, 30, 150)(18, 138, 33, 153)(20, 140, 35, 155)(21, 141, 38, 158)(24, 144, 39, 159)(25, 145, 44, 164)(26, 146, 45, 165)(27, 147, 48, 168)(29, 149, 49, 169)(31, 151, 53, 173)(32, 152, 56, 176)(34, 154, 59, 179)(36, 156, 61, 181)(37, 157, 62, 182)(40, 160, 63, 183)(41, 161, 68, 188)(42, 162, 69, 189)(43, 163, 72, 192)(46, 166, 75, 195)(47, 167, 76, 196)(50, 170, 77, 197)(51, 171, 80, 200)(52, 172, 82, 202)(54, 174, 64, 184)(55, 175, 83, 203)(57, 177, 84, 204)(58, 178, 86, 206)(60, 180, 71, 191)(65, 185, 87, 207)(66, 186, 88, 208)(67, 187, 89, 209)(70, 190, 92, 212)(73, 193, 93, 213)(74, 194, 96, 216)(78, 198, 98, 218)(79, 199, 99, 219)(81, 201, 101, 221)(85, 205, 100, 220)(90, 210, 107, 227)(91, 211, 110, 230)(94, 214, 111, 231)(95, 215, 112, 232)(97, 217, 113, 233)(102, 222, 105, 225)(103, 223, 115, 235)(104, 224, 106, 226)(108, 228, 117, 237)(109, 229, 118, 238)(114, 234, 119, 239)(116, 236, 120, 240)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 135)(8, 123)(9, 138)(10, 124)(11, 141)(12, 143)(13, 145)(14, 126)(15, 147)(16, 129)(17, 128)(18, 152)(19, 154)(20, 130)(21, 157)(22, 159)(23, 161)(24, 132)(25, 163)(26, 134)(27, 167)(28, 169)(29, 136)(30, 172)(31, 137)(32, 175)(33, 139)(34, 178)(35, 180)(36, 140)(37, 156)(38, 183)(39, 185)(40, 142)(41, 187)(42, 144)(43, 191)(44, 150)(45, 194)(46, 146)(47, 182)(48, 197)(49, 198)(50, 148)(51, 149)(52, 201)(53, 203)(54, 151)(55, 184)(56, 204)(57, 153)(58, 186)(59, 155)(60, 190)(61, 196)(62, 174)(63, 171)(64, 158)(65, 177)(66, 160)(67, 179)(68, 165)(69, 211)(70, 162)(71, 181)(72, 213)(73, 164)(74, 215)(75, 168)(76, 166)(77, 214)(78, 217)(79, 170)(80, 208)(81, 216)(82, 173)(83, 220)(84, 222)(85, 176)(86, 209)(87, 189)(88, 226)(89, 227)(90, 188)(91, 229)(92, 192)(93, 228)(94, 193)(95, 230)(96, 195)(97, 202)(98, 200)(99, 235)(100, 199)(101, 233)(102, 234)(103, 205)(104, 206)(105, 207)(106, 223)(107, 236)(108, 210)(109, 224)(110, 212)(111, 219)(112, 221)(113, 239)(114, 218)(115, 238)(116, 225)(117, 231)(118, 232)(119, 240)(120, 237)
	local type(s) :: { ( 3, 10, 3, 10 ) }
Outer automorphisms :: reflexible
Dual of E5.318
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 60 e = 120 f = 52
	degree seq :: [ 4^60 ]

E5.323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^10, (Y2 * Y1 * Y2^-1 * Y1)^5 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 8, 128)(5, 125, 9, 129)(6, 126, 10, 130)(11, 131, 19, 139)(12, 132, 20, 140)(13, 133, 21, 141)(14, 134, 22, 142)(15, 135, 23, 143)(16, 136, 24, 144)(17, 137, 25, 145)(18, 138, 26, 146)(27, 147, 43, 163)(28, 148, 44, 164)(29, 149, 45, 165)(30, 150, 46, 166)(31, 151, 47, 167)(32, 152, 48, 168)(33, 153, 49, 169)(34, 154, 50, 170)(35, 155, 51, 171)(36, 156, 52, 172)(37, 157, 53, 173)(38, 158, 54, 174)(39, 159, 55, 175)(40, 160, 56, 176)(41, 161, 57, 177)(42, 162, 58, 178)(59, 179, 91, 211)(60, 180, 82, 202)(61, 181, 86, 206)(62, 182, 92, 212)(63, 183, 88, 208)(64, 184, 93, 213)(65, 185, 94, 214)(66, 186, 76, 196)(67, 187, 89, 209)(68, 188, 95, 215)(69, 189, 96, 216)(70, 190, 77, 197)(71, 191, 97, 217)(72, 192, 79, 199)(73, 193, 83, 203)(74, 194, 98, 218)(75, 195, 99, 219)(78, 198, 100, 220)(80, 200, 101, 221)(81, 201, 102, 222)(84, 204, 103, 223)(85, 205, 104, 224)(87, 207, 105, 225)(90, 210, 106, 226)(107, 227, 111, 231)(108, 228, 115, 235)(109, 229, 113, 233)(110, 230, 116, 236)(112, 232, 117, 237)(114, 234, 118, 238)(119, 239, 120, 240)(241, 361, 243, 363, 244, 364)(242, 362, 245, 365, 246, 366)(247, 367, 251, 371, 252, 372)(248, 368, 253, 373, 254, 374)(249, 369, 255, 375, 256, 376)(250, 370, 257, 377, 258, 378)(259, 379, 267, 387, 268, 388)(260, 380, 269, 389, 270, 390)(261, 381, 271, 391, 272, 392)(262, 382, 273, 393, 274, 394)(263, 383, 275, 395, 276, 396)(264, 384, 277, 397, 278, 398)(265, 385, 279, 399, 280, 400)(266, 386, 281, 401, 282, 402)(283, 403, 299, 419, 300, 420)(284, 404, 301, 421, 302, 422)(285, 405, 303, 423, 304, 424)(286, 406, 305, 425, 306, 426)(287, 407, 307, 427, 308, 428)(288, 408, 309, 429, 310, 430)(289, 409, 311, 431, 312, 432)(290, 410, 313, 433, 314, 434)(291, 411, 315, 435, 316, 436)(292, 412, 317, 437, 318, 438)(293, 413, 319, 439, 320, 440)(294, 414, 321, 441, 322, 442)(295, 415, 323, 443, 324, 444)(296, 416, 325, 445, 326, 446)(297, 417, 327, 447, 328, 448)(298, 418, 329, 449, 330, 450)(331, 451, 347, 467, 338, 458)(332, 452, 348, 468, 335, 455)(333, 453, 349, 469, 336, 456)(334, 454, 350, 470, 337, 457)(339, 459, 351, 471, 346, 466)(340, 460, 352, 472, 343, 463)(341, 461, 353, 473, 344, 464)(342, 462, 354, 474, 345, 465)(355, 475, 359, 479, 356, 476)(357, 477, 360, 480, 358, 478)
	L = (1, 242)(2, 241)(3, 247)(4, 248)(5, 249)(6, 250)(7, 243)(8, 244)(9, 245)(10, 246)(11, 259)(12, 260)(13, 261)(14, 262)(15, 263)(16, 264)(17, 265)(18, 266)(19, 251)(20, 252)(21, 253)(22, 254)(23, 255)(24, 256)(25, 257)(26, 258)(27, 283)(28, 284)(29, 285)(30, 286)(31, 287)(32, 288)(33, 289)(34, 290)(35, 291)(36, 292)(37, 293)(38, 294)(39, 295)(40, 296)(41, 297)(42, 298)(43, 267)(44, 268)(45, 269)(46, 270)(47, 271)(48, 272)(49, 273)(50, 274)(51, 275)(52, 276)(53, 277)(54, 278)(55, 279)(56, 280)(57, 281)(58, 282)(59, 331)(60, 322)(61, 326)(62, 332)(63, 328)(64, 333)(65, 334)(66, 316)(67, 329)(68, 335)(69, 336)(70, 317)(71, 337)(72, 319)(73, 323)(74, 338)(75, 339)(76, 306)(77, 310)(78, 340)(79, 312)(80, 341)(81, 342)(82, 300)(83, 313)(84, 343)(85, 344)(86, 301)(87, 345)(88, 303)(89, 307)(90, 346)(91, 299)(92, 302)(93, 304)(94, 305)(95, 308)(96, 309)(97, 311)(98, 314)(99, 315)(100, 318)(101, 320)(102, 321)(103, 324)(104, 325)(105, 327)(106, 330)(107, 351)(108, 355)(109, 353)(110, 356)(111, 347)(112, 357)(113, 349)(114, 358)(115, 348)(116, 350)(117, 352)(118, 354)(119, 360)(120, 359)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E5.326
Graph:: bipartite
	v = 100 e = 240 f = 132
	degree seq :: [ 4^60, 6^40 ]

E5.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^10, (Y2^4 * Y1^-1)^2 ]
Map::
	R = (1, 121, 2, 122, 4, 124)(3, 123, 8, 128, 10, 130)(5, 125, 12, 132, 6, 126)(7, 127, 15, 135, 11, 131)(9, 129, 18, 138, 20, 140)(13, 133, 25, 145, 23, 143)(14, 134, 24, 144, 28, 148)(16, 136, 31, 151, 29, 149)(17, 137, 33, 153, 21, 141)(19, 139, 36, 156, 38, 158)(22, 142, 30, 150, 42, 162)(26, 146, 47, 167, 45, 165)(27, 147, 49, 169, 51, 171)(32, 152, 57, 177, 55, 175)(34, 154, 61, 181, 59, 179)(35, 155, 63, 183, 39, 159)(37, 157, 66, 186, 58, 178)(40, 160, 60, 180, 71, 191)(41, 161, 72, 192, 74, 194)(43, 163, 46, 166, 77, 197)(44, 164, 78, 198, 52, 172)(48, 168, 73, 193, 80, 200)(50, 170, 82, 202, 62, 182)(53, 173, 56, 176, 87, 207)(54, 174, 88, 208, 75, 195)(64, 184, 95, 215, 93, 213)(65, 185, 96, 216, 68, 188)(67, 187, 83, 203, 92, 212)(69, 189, 94, 214, 98, 218)(70, 190, 99, 219, 79, 199)(76, 196, 101, 221, 89, 209)(81, 201, 103, 223, 84, 204)(85, 205, 102, 222, 105, 225)(86, 206, 106, 226, 90, 210)(91, 211, 107, 227, 100, 220)(97, 217, 112, 232, 111, 231)(104, 224, 114, 234, 115, 235)(108, 228, 117, 237, 109, 229)(110, 230, 116, 236, 113, 233)(118, 238, 120, 240, 119, 239)(241, 361, 243, 363, 249, 369, 259, 379, 277, 397, 307, 427, 288, 408, 266, 386, 253, 373, 245, 365)(242, 362, 246, 366, 254, 374, 267, 387, 290, 410, 323, 443, 298, 418, 272, 392, 256, 376, 247, 367)(244, 364, 251, 371, 262, 382, 281, 401, 313, 433, 332, 452, 302, 422, 274, 394, 257, 377, 248, 368)(250, 370, 261, 381, 280, 400, 310, 430, 287, 407, 320, 440, 314, 434, 304, 424, 275, 395, 258, 378)(252, 372, 263, 383, 283, 403, 316, 436, 297, 417, 306, 426, 278, 398, 308, 428, 284, 404, 264, 384)(255, 375, 269, 389, 293, 413, 326, 446, 301, 421, 322, 442, 291, 411, 324, 444, 294, 414, 270, 390)(260, 380, 279, 399, 309, 429, 286, 406, 265, 385, 285, 405, 319, 439, 337, 457, 305, 425, 276, 396)(268, 388, 292, 412, 325, 445, 296, 416, 271, 391, 295, 415, 329, 449, 344, 464, 321, 441, 289, 409)(273, 393, 299, 419, 330, 450, 348, 468, 335, 455, 312, 432, 282, 402, 315, 435, 331, 451, 300, 420)(303, 423, 333, 453, 349, 469, 358, 478, 352, 472, 339, 459, 311, 431, 340, 460, 350, 470, 334, 454)(317, 437, 338, 458, 353, 473, 342, 462, 318, 438, 336, 456, 351, 471, 359, 479, 354, 474, 341, 461)(327, 447, 345, 465, 356, 476, 347, 467, 328, 448, 343, 463, 355, 475, 360, 480, 357, 477, 346, 466)
	L = (1, 243)(2, 246)(3, 249)(4, 251)(5, 241)(6, 254)(7, 242)(8, 244)(9, 259)(10, 261)(11, 262)(12, 263)(13, 245)(14, 267)(15, 269)(16, 247)(17, 248)(18, 250)(19, 277)(20, 279)(21, 280)(22, 281)(23, 283)(24, 252)(25, 285)(26, 253)(27, 290)(28, 292)(29, 293)(30, 255)(31, 295)(32, 256)(33, 299)(34, 257)(35, 258)(36, 260)(37, 307)(38, 308)(39, 309)(40, 310)(41, 313)(42, 315)(43, 316)(44, 264)(45, 319)(46, 265)(47, 320)(48, 266)(49, 268)(50, 323)(51, 324)(52, 325)(53, 326)(54, 270)(55, 329)(56, 271)(57, 306)(58, 272)(59, 330)(60, 273)(61, 322)(62, 274)(63, 333)(64, 275)(65, 276)(66, 278)(67, 288)(68, 284)(69, 286)(70, 287)(71, 340)(72, 282)(73, 332)(74, 304)(75, 331)(76, 297)(77, 338)(78, 336)(79, 337)(80, 314)(81, 289)(82, 291)(83, 298)(84, 294)(85, 296)(86, 301)(87, 345)(88, 343)(89, 344)(90, 348)(91, 300)(92, 302)(93, 349)(94, 303)(95, 312)(96, 351)(97, 305)(98, 353)(99, 311)(100, 350)(101, 317)(102, 318)(103, 355)(104, 321)(105, 356)(106, 327)(107, 328)(108, 335)(109, 358)(110, 334)(111, 359)(112, 339)(113, 342)(114, 341)(115, 360)(116, 347)(117, 346)(118, 352)(119, 354)(120, 357)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 4, 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 E5.325
Graph:: bipartite
	v = 52 e = 240 f = 180
	degree seq :: [ 6^40, 20^12 ]

E5.325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^-2 * Y2 * Y3^-4 * Y2 * Y3 * Y2 * Y3^-2, Y3^2 * Y2 * Y3^4 * Y2 * Y3^-1 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^10 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362)(243, 363, 247, 367)(244, 364, 249, 369)(245, 365, 251, 371)(246, 366, 253, 373)(248, 368, 256, 376)(250, 370, 259, 379)(252, 372, 262, 382)(254, 374, 265, 385)(255, 375, 267, 387)(257, 377, 270, 390)(258, 378, 272, 392)(260, 380, 275, 395)(261, 381, 277, 397)(263, 383, 280, 400)(264, 384, 282, 402)(266, 386, 285, 405)(268, 388, 288, 408)(269, 389, 290, 410)(271, 391, 293, 413)(273, 393, 296, 416)(274, 394, 298, 418)(276, 396, 301, 421)(278, 398, 303, 423)(279, 399, 305, 425)(281, 401, 308, 428)(283, 403, 311, 431)(284, 404, 313, 433)(286, 406, 316, 436)(287, 407, 317, 437)(289, 409, 307, 427)(291, 411, 321, 441)(292, 412, 304, 424)(294, 414, 309, 429)(295, 415, 324, 444)(297, 417, 315, 435)(299, 419, 326, 446)(300, 420, 312, 432)(302, 422, 327, 447)(306, 426, 331, 451)(310, 430, 334, 454)(314, 434, 336, 456)(318, 438, 338, 458)(319, 439, 333, 453)(320, 440, 340, 460)(322, 442, 335, 455)(323, 443, 329, 449)(325, 445, 332, 452)(328, 448, 346, 466)(330, 450, 348, 468)(337, 457, 353, 473)(339, 459, 352, 472)(341, 461, 351, 471)(342, 462, 354, 474)(343, 463, 349, 469)(344, 464, 347, 467)(345, 465, 356, 476)(350, 470, 357, 477)(355, 475, 358, 478)(359, 479, 360, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 253)(8, 257)(9, 258)(10, 244)(11, 249)(12, 263)(13, 264)(14, 246)(15, 247)(16, 267)(17, 271)(18, 273)(19, 274)(20, 250)(21, 251)(22, 277)(23, 281)(24, 283)(25, 284)(26, 254)(27, 287)(28, 255)(29, 256)(30, 290)(31, 294)(32, 259)(33, 297)(34, 299)(35, 300)(36, 260)(37, 302)(38, 261)(39, 262)(40, 305)(41, 309)(42, 265)(43, 312)(44, 314)(45, 315)(46, 266)(47, 318)(48, 319)(49, 268)(50, 320)(51, 269)(52, 270)(53, 304)(54, 276)(55, 272)(56, 324)(57, 316)(58, 275)(59, 323)(60, 322)(61, 308)(62, 328)(63, 329)(64, 278)(65, 330)(66, 279)(67, 280)(68, 289)(69, 286)(70, 282)(71, 334)(72, 301)(73, 285)(74, 333)(75, 332)(76, 293)(77, 288)(78, 298)(79, 339)(80, 295)(81, 341)(82, 291)(83, 292)(84, 342)(85, 296)(86, 338)(87, 303)(88, 313)(89, 347)(90, 310)(91, 349)(92, 306)(93, 307)(94, 350)(95, 311)(96, 346)(97, 317)(98, 353)(99, 351)(100, 321)(101, 355)(102, 345)(103, 325)(104, 326)(105, 327)(106, 356)(107, 343)(108, 331)(109, 358)(110, 337)(111, 335)(112, 336)(113, 359)(114, 340)(115, 344)(116, 360)(117, 348)(118, 352)(119, 354)(120, 357)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 6, 20 ), ( 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E5.324
Graph:: simple bipartite
	v = 180 e = 240 f = 52
	degree seq :: [ 2^120, 4^60 ]

E5.326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^3, Y1^10, (Y3 * Y1^-5)^2, (Y3 * Y1^3 * Y3 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 121, 2, 122, 5, 125, 11, 131, 21, 141, 37, 157, 36, 156, 20, 140, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 27, 147, 47, 167, 62, 182, 54, 174, 31, 151, 17, 137, 8, 128)(6, 126, 13, 133, 25, 145, 43, 163, 71, 191, 61, 181, 76, 196, 46, 166, 26, 146, 14, 134)(9, 129, 18, 138, 32, 152, 55, 175, 64, 184, 38, 158, 63, 183, 51, 171, 29, 149, 16, 136)(12, 132, 23, 143, 41, 161, 67, 187, 59, 179, 35, 155, 60, 180, 70, 190, 42, 162, 24, 144)(19, 139, 34, 154, 58, 178, 66, 186, 40, 160, 22, 142, 39, 159, 65, 185, 57, 177, 33, 153)(28, 148, 49, 169, 78, 198, 97, 217, 82, 202, 53, 173, 83, 203, 100, 220, 79, 199, 50, 170)(30, 150, 52, 172, 81, 201, 96, 216, 75, 195, 48, 168, 77, 197, 94, 214, 73, 193, 44, 164)(45, 165, 74, 194, 95, 215, 110, 230, 92, 212, 72, 192, 93, 213, 108, 228, 90, 210, 68, 188)(56, 176, 84, 204, 102, 222, 114, 234, 98, 218, 80, 200, 88, 208, 106, 226, 103, 223, 85, 205)(69, 189, 91, 211, 109, 229, 104, 224, 86, 206, 89, 209, 107, 227, 116, 236, 105, 225, 87, 207)(99, 219, 115, 235, 118, 238, 112, 232, 101, 221, 113, 233, 119, 239, 120, 240, 117, 237, 111, 231)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 241)(4, 249)(5, 252)(6, 242)(7, 256)(8, 253)(9, 244)(10, 259)(11, 262)(12, 245)(13, 248)(14, 263)(15, 268)(16, 247)(17, 270)(18, 273)(19, 250)(20, 275)(21, 278)(22, 251)(23, 254)(24, 279)(25, 284)(26, 285)(27, 288)(28, 255)(29, 289)(30, 257)(31, 293)(32, 296)(33, 258)(34, 299)(35, 260)(36, 301)(37, 302)(38, 261)(39, 264)(40, 303)(41, 308)(42, 309)(43, 312)(44, 265)(45, 266)(46, 315)(47, 316)(48, 267)(49, 269)(50, 317)(51, 320)(52, 322)(53, 271)(54, 304)(55, 323)(56, 272)(57, 324)(58, 326)(59, 274)(60, 311)(61, 276)(62, 277)(63, 280)(64, 294)(65, 327)(66, 328)(67, 329)(68, 281)(69, 282)(70, 332)(71, 300)(72, 283)(73, 333)(74, 336)(75, 286)(76, 287)(77, 290)(78, 338)(79, 339)(80, 291)(81, 341)(82, 292)(83, 295)(84, 297)(85, 340)(86, 298)(87, 305)(88, 306)(89, 307)(90, 347)(91, 350)(92, 310)(93, 313)(94, 351)(95, 352)(96, 314)(97, 353)(98, 318)(99, 319)(100, 325)(101, 321)(102, 345)(103, 355)(104, 346)(105, 342)(106, 344)(107, 330)(108, 357)(109, 358)(110, 331)(111, 334)(112, 335)(113, 337)(114, 359)(115, 343)(116, 360)(117, 348)(118, 349)(119, 354)(120, 356)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 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 E5.323
Graph:: simple bipartite
	v = 132 e = 240 f = 100
	degree seq :: [ 2^120, 20^12 ]

E5.327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, Y2^10, Y2^-2 * Y1 * Y2^5 * Y1 * Y2^-3, (Y1 * Y2^-3 * Y1 * Y2)^2 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 16, 136)(10, 130, 19, 139)(12, 132, 22, 142)(14, 134, 25, 145)(15, 135, 27, 147)(17, 137, 30, 150)(18, 138, 32, 152)(20, 140, 35, 155)(21, 141, 37, 157)(23, 143, 40, 160)(24, 144, 42, 162)(26, 146, 45, 165)(28, 148, 48, 168)(29, 149, 50, 170)(31, 151, 53, 173)(33, 153, 56, 176)(34, 154, 58, 178)(36, 156, 61, 181)(38, 158, 63, 183)(39, 159, 65, 185)(41, 161, 68, 188)(43, 163, 71, 191)(44, 164, 73, 193)(46, 166, 76, 196)(47, 167, 77, 197)(49, 169, 67, 187)(51, 171, 81, 201)(52, 172, 64, 184)(54, 174, 69, 189)(55, 175, 84, 204)(57, 177, 75, 195)(59, 179, 86, 206)(60, 180, 72, 192)(62, 182, 87, 207)(66, 186, 91, 211)(70, 190, 94, 214)(74, 194, 96, 216)(78, 198, 98, 218)(79, 199, 93, 213)(80, 200, 100, 220)(82, 202, 95, 215)(83, 203, 89, 209)(85, 205, 92, 212)(88, 208, 106, 226)(90, 210, 108, 228)(97, 217, 113, 233)(99, 219, 112, 232)(101, 221, 111, 231)(102, 222, 114, 234)(103, 223, 109, 229)(104, 224, 107, 227)(105, 225, 116, 236)(110, 230, 117, 237)(115, 235, 118, 238)(119, 239, 120, 240)(241, 361, 243, 363, 248, 368, 257, 377, 271, 391, 294, 414, 276, 396, 260, 380, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 263, 383, 281, 401, 309, 429, 286, 406, 266, 386, 254, 374, 246, 366)(247, 367, 253, 373, 264, 384, 283, 403, 312, 432, 301, 421, 308, 428, 289, 409, 268, 388, 255, 375)(249, 369, 258, 378, 273, 393, 297, 417, 316, 436, 293, 413, 304, 424, 278, 398, 261, 381, 251, 371)(256, 376, 267, 387, 287, 407, 318, 438, 298, 418, 275, 395, 300, 420, 322, 442, 291, 411, 269, 389)(259, 379, 274, 394, 299, 419, 323, 443, 292, 412, 270, 390, 290, 410, 320, 440, 295, 415, 272, 392)(262, 382, 277, 397, 302, 422, 328, 448, 313, 433, 285, 405, 315, 435, 332, 452, 306, 426, 279, 399)(265, 385, 284, 404, 314, 434, 333, 453, 307, 427, 280, 400, 305, 425, 330, 450, 310, 430, 282, 402)(288, 408, 319, 439, 339, 459, 351, 471, 335, 455, 311, 431, 334, 454, 350, 470, 337, 457, 317, 437)(296, 416, 324, 444, 342, 462, 345, 465, 327, 447, 303, 423, 329, 449, 347, 467, 343, 463, 325, 445)(321, 441, 341, 461, 355, 475, 344, 464, 326, 446, 338, 458, 353, 473, 359, 479, 354, 474, 340, 460)(331, 451, 349, 469, 358, 478, 352, 472, 336, 456, 346, 466, 356, 476, 360, 480, 357, 477, 348, 468)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 256)(9, 244)(10, 259)(11, 245)(12, 262)(13, 246)(14, 265)(15, 267)(16, 248)(17, 270)(18, 272)(19, 250)(20, 275)(21, 277)(22, 252)(23, 280)(24, 282)(25, 254)(26, 285)(27, 255)(28, 288)(29, 290)(30, 257)(31, 293)(32, 258)(33, 296)(34, 298)(35, 260)(36, 301)(37, 261)(38, 303)(39, 305)(40, 263)(41, 308)(42, 264)(43, 311)(44, 313)(45, 266)(46, 316)(47, 317)(48, 268)(49, 307)(50, 269)(51, 321)(52, 304)(53, 271)(54, 309)(55, 324)(56, 273)(57, 315)(58, 274)(59, 326)(60, 312)(61, 276)(62, 327)(63, 278)(64, 292)(65, 279)(66, 331)(67, 289)(68, 281)(69, 294)(70, 334)(71, 283)(72, 300)(73, 284)(74, 336)(75, 297)(76, 286)(77, 287)(78, 338)(79, 333)(80, 340)(81, 291)(82, 335)(83, 329)(84, 295)(85, 332)(86, 299)(87, 302)(88, 346)(89, 323)(90, 348)(91, 306)(92, 325)(93, 319)(94, 310)(95, 322)(96, 314)(97, 353)(98, 318)(99, 352)(100, 320)(101, 351)(102, 354)(103, 349)(104, 347)(105, 356)(106, 328)(107, 344)(108, 330)(109, 343)(110, 357)(111, 341)(112, 339)(113, 337)(114, 342)(115, 358)(116, 345)(117, 350)(118, 355)(119, 360)(120, 359)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 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 E5.328
Graph:: bipartite
	v = 72 e = 240 f = 160
	degree seq :: [ 4^60, 20^12 ]

E5.328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1 * Y3^2)^2, (Y3 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 121, 2, 122, 4, 124)(3, 123, 8, 128, 10, 130)(5, 125, 12, 132, 6, 126)(7, 127, 15, 135, 11, 131)(9, 129, 18, 138, 20, 140)(13, 133, 25, 145, 23, 143)(14, 134, 24, 144, 28, 148)(16, 136, 31, 151, 29, 149)(17, 137, 33, 153, 21, 141)(19, 139, 36, 156, 38, 158)(22, 142, 30, 150, 42, 162)(26, 146, 47, 167, 45, 165)(27, 147, 49, 169, 51, 171)(32, 152, 57, 177, 55, 175)(34, 154, 61, 181, 59, 179)(35, 155, 63, 183, 39, 159)(37, 157, 66, 186, 58, 178)(40, 160, 60, 180, 71, 191)(41, 161, 72, 192, 74, 194)(43, 163, 46, 166, 77, 197)(44, 164, 78, 198, 52, 172)(48, 168, 73, 193, 80, 200)(50, 170, 82, 202, 62, 182)(53, 173, 56, 176, 87, 207)(54, 174, 88, 208, 75, 195)(64, 184, 95, 215, 93, 213)(65, 185, 96, 216, 68, 188)(67, 187, 83, 203, 92, 212)(69, 189, 94, 214, 98, 218)(70, 190, 99, 219, 79, 199)(76, 196, 101, 221, 89, 209)(81, 201, 103, 223, 84, 204)(85, 205, 102, 222, 105, 225)(86, 206, 106, 226, 90, 210)(91, 211, 107, 227, 100, 220)(97, 217, 112, 232, 111, 231)(104, 224, 114, 234, 115, 235)(108, 228, 117, 237, 109, 229)(110, 230, 116, 236, 113, 233)(118, 238, 120, 240, 119, 239)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 249)(4, 251)(5, 241)(6, 254)(7, 242)(8, 244)(9, 259)(10, 261)(11, 262)(12, 263)(13, 245)(14, 267)(15, 269)(16, 247)(17, 248)(18, 250)(19, 277)(20, 279)(21, 280)(22, 281)(23, 283)(24, 252)(25, 285)(26, 253)(27, 290)(28, 292)(29, 293)(30, 255)(31, 295)(32, 256)(33, 299)(34, 257)(35, 258)(36, 260)(37, 307)(38, 308)(39, 309)(40, 310)(41, 313)(42, 315)(43, 316)(44, 264)(45, 319)(46, 265)(47, 320)(48, 266)(49, 268)(50, 323)(51, 324)(52, 325)(53, 326)(54, 270)(55, 329)(56, 271)(57, 306)(58, 272)(59, 330)(60, 273)(61, 322)(62, 274)(63, 333)(64, 275)(65, 276)(66, 278)(67, 288)(68, 284)(69, 286)(70, 287)(71, 340)(72, 282)(73, 332)(74, 304)(75, 331)(76, 297)(77, 338)(78, 336)(79, 337)(80, 314)(81, 289)(82, 291)(83, 298)(84, 294)(85, 296)(86, 301)(87, 345)(88, 343)(89, 344)(90, 348)(91, 300)(92, 302)(93, 349)(94, 303)(95, 312)(96, 351)(97, 305)(98, 353)(99, 311)(100, 350)(101, 317)(102, 318)(103, 355)(104, 321)(105, 356)(106, 327)(107, 328)(108, 335)(109, 358)(110, 334)(111, 359)(112, 339)(113, 342)(114, 341)(115, 360)(116, 347)(117, 346)(118, 352)(119, 354)(120, 357)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E5.327
Graph:: simple bipartite
	v = 160 e = 240 f = 72
	degree seq :: [ 2^120, 6^40 ]

E5.329 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 5})
Quotient :: regular
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, T1^5, (T1^-1 * T2)^4, (T2 * T1^-2)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 32, 34, 19)(11, 21, 37, 40, 22)(15, 28, 47, 49, 29)(16, 30, 50, 42, 24)(20, 35, 58, 60, 36)(25, 43, 68, 62, 38)(27, 45, 72, 75, 46)(31, 52, 82, 61, 53)(33, 55, 86, 88, 56)(39, 63, 93, 91, 59)(41, 65, 57, 89, 66)(44, 70, 102, 90, 71)(48, 77, 108, 104, 73)(51, 80, 92, 115, 81)(54, 84, 64, 95, 85)(67, 98, 107, 76, 96)(69, 100, 123, 132, 101)(74, 105, 124, 117, 83)(78, 110, 126, 116, 111)(79, 112, 106, 133, 113)(87, 120, 125, 94, 118)(97, 127, 121, 134, 103)(99, 129, 122, 119, 130)(109, 138, 145, 147, 139)(114, 143, 153, 135, 141)(128, 142, 154, 137, 149)(131, 152, 146, 148, 150)(136, 155, 144, 151, 140)(156, 159, 157, 160, 158)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 33)(19, 28)(21, 38)(22, 39)(23, 41)(26, 44)(29, 48)(30, 51)(32, 54)(34, 57)(35, 59)(36, 55)(37, 61)(40, 64)(42, 67)(43, 69)(45, 73)(46, 74)(47, 76)(49, 78)(50, 79)(52, 83)(53, 80)(56, 87)(58, 90)(60, 72)(62, 92)(63, 94)(65, 96)(66, 97)(68, 99)(70, 103)(71, 100)(75, 106)(77, 109)(81, 114)(82, 116)(84, 118)(85, 119)(86, 104)(88, 121)(89, 122)(91, 123)(93, 124)(95, 126)(98, 128)(101, 131)(102, 133)(105, 135)(107, 136)(108, 137)(110, 140)(111, 138)(112, 141)(113, 142)(115, 144)(117, 145)(120, 146)(125, 147)(127, 148)(129, 150)(130, 151)(132, 153)(134, 154)(139, 156)(143, 157)(149, 158)(152, 159)(155, 160)
	local type(s) :: { ( 4^5 ) }
Outer automorphisms :: reflexible
Dual of E5.330
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 80 f = 40
	degree seq :: [ 5^32 ]

E5.330 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 5})
Quotient :: regular
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^5, T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 57, 36)(22, 37, 59, 38)(23, 39, 50, 40)(29, 47, 70, 48)(30, 49, 64, 42)(32, 51, 73, 52)(33, 53, 75, 54)(34, 55, 46, 56)(43, 65, 92, 66)(45, 68, 94, 69)(58, 80, 113, 81)(60, 83, 115, 84)(61, 85, 117, 86)(62, 87, 118, 88)(63, 89, 67, 90)(71, 97, 128, 98)(72, 99, 123, 100)(74, 102, 133, 103)(76, 105, 135, 106)(77, 107, 137, 108)(78, 109, 138, 110)(79, 111, 82, 112)(91, 121, 96, 122)(93, 124, 136, 125)(95, 126, 134, 127)(101, 131, 104, 132)(114, 141, 130, 142)(116, 143, 129, 144)(119, 147, 153, 139)(120, 148, 154, 149)(140, 157, 150, 158)(145, 155, 146, 156)(151, 160, 152, 159)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 35)(28, 46)(31, 50)(36, 58)(37, 60)(38, 51)(39, 61)(40, 62)(41, 63)(44, 67)(47, 54)(48, 71)(49, 72)(52, 74)(53, 76)(55, 77)(56, 78)(57, 79)(59, 82)(64, 91)(65, 93)(66, 85)(68, 88)(69, 95)(70, 96)(73, 101)(75, 104)(80, 114)(81, 107)(83, 110)(84, 116)(86, 105)(87, 103)(89, 119)(90, 120)(92, 123)(94, 113)(97, 129)(98, 109)(99, 108)(100, 130)(102, 134)(106, 136)(111, 139)(112, 140)(115, 133)(117, 145)(118, 146)(121, 150)(122, 147)(124, 149)(125, 151)(126, 152)(127, 148)(128, 135)(131, 153)(132, 154)(137, 155)(138, 156)(141, 158)(142, 159)(143, 160)(144, 157)
	local type(s) :: { ( 5^4 ) }
Outer automorphisms :: reflexible
Dual of E5.329
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 40 e = 80 f = 32
	degree seq :: [ 4^40 ]

E5.331 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^5, T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 44, 27)(20, 34, 55, 35)(23, 38, 60, 39)(25, 41, 65, 42)(28, 46, 70, 47)(30, 49, 50, 31)(33, 52, 77, 53)(36, 57, 82, 58)(40, 62, 48, 63)(43, 66, 92, 67)(45, 68, 95, 69)(51, 74, 59, 75)(54, 78, 108, 79)(56, 80, 111, 81)(61, 85, 112, 86)(64, 89, 122, 90)(71, 97, 129, 98)(72, 99, 107, 100)(73, 101, 96, 102)(76, 105, 136, 106)(83, 113, 143, 114)(84, 115, 91, 116)(87, 118, 147, 119)(88, 120, 148, 121)(93, 125, 140, 110)(94, 109, 139, 126)(103, 132, 155, 133)(104, 134, 156, 135)(117, 145, 130, 146)(123, 149, 128, 150)(124, 151, 127, 152)(131, 153, 144, 154)(137, 157, 142, 158)(138, 159, 141, 160)(161, 162)(163, 167)(164, 169)(165, 170)(166, 172)(168, 175)(171, 180)(173, 183)(174, 185)(176, 188)(177, 190)(178, 191)(179, 193)(181, 196)(182, 198)(184, 200)(186, 203)(187, 205)(189, 208)(192, 211)(194, 214)(195, 216)(197, 219)(199, 221)(201, 224)(202, 226)(204, 215)(206, 229)(207, 231)(209, 232)(210, 233)(212, 236)(213, 238)(217, 241)(218, 243)(220, 244)(222, 247)(223, 248)(225, 251)(227, 253)(228, 254)(230, 256)(234, 263)(235, 264)(237, 267)(239, 269)(240, 270)(242, 272)(245, 277)(246, 278)(249, 281)(250, 283)(252, 284)(255, 287)(257, 288)(258, 280)(259, 279)(260, 290)(261, 291)(262, 292)(265, 295)(266, 297)(268, 298)(271, 301)(273, 302)(274, 294)(275, 293)(276, 304)(282, 300)(285, 303)(286, 296)(289, 299)(305, 313)(306, 318)(307, 319)(308, 320)(309, 317)(310, 314)(311, 315)(312, 316)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 10, 10 ), ( 10^4 ) }
Outer automorphisms :: reflexible
Dual of E5.335
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 160 f = 32
	degree seq :: [ 2^80, 4^40 ]

E5.332 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^5, (T2 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 14, 5)(2, 7, 17, 20, 8)(4, 12, 26, 22, 9)(6, 15, 31, 34, 16)(11, 25, 47, 45, 23)(13, 28, 51, 53, 29)(18, 37, 64, 62, 35)(19, 38, 65, 67, 39)(21, 41, 69, 71, 42)(24, 46, 76, 54, 30)(27, 50, 81, 79, 48)(32, 57, 89, 87, 55)(33, 58, 90, 92, 59)(36, 63, 97, 68, 40)(43, 49, 80, 107, 72)(44, 73, 108, 110, 74)(52, 84, 118, 117, 82)(56, 88, 122, 93, 60)(61, 94, 128, 130, 95)(66, 101, 134, 133, 99)(70, 105, 137, 136, 103)(75, 77, 111, 85, 83)(78, 112, 140, 142, 113)(86, 119, 144, 146, 120)(91, 126, 150, 149, 124)(96, 98, 131, 102, 100)(104, 114, 115, 138, 106)(109, 116, 143, 154, 139)(121, 123, 147, 127, 125)(129, 132, 152, 158, 151)(135, 153, 159, 155, 141)(145, 148, 157, 160, 156)(161, 162, 166, 164)(163, 169, 181, 171)(165, 173, 178, 167)(168, 179, 192, 175)(170, 183, 204, 184)(172, 176, 193, 187)(174, 190, 212, 188)(177, 195, 221, 196)(180, 200, 226, 198)(182, 203, 230, 201)(185, 202, 217, 199)(186, 208, 238, 209)(189, 210, 219, 197)(191, 215, 246, 216)(194, 220, 251, 218)(205, 235, 269, 233)(206, 234, 265, 232)(207, 227, 262, 237)(211, 242, 276, 243)(213, 245, 275, 241)(214, 223, 255, 244)(222, 256, 289, 254)(224, 252, 287, 258)(225, 259, 292, 260)(228, 248, 280, 261)(229, 263, 295, 264)(231, 266, 283, 249)(236, 267, 282, 257)(239, 274, 301, 272)(240, 273, 286, 253)(247, 281, 305, 279)(250, 284, 308, 285)(268, 299, 312, 293)(270, 294, 306, 297)(271, 291, 307, 298)(277, 300, 315, 303)(278, 290, 310, 302)(288, 311, 317, 309)(296, 304, 316, 313)(314, 319, 320, 318)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^5 ) }
Outer automorphisms :: reflexible
Dual of E5.336
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 160 f = 80
	degree seq :: [ 4^40, 5^32 ]

E5.333 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1^-1)^4, (T2 * T1^-2)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 33)(19, 28)(21, 38)(22, 39)(23, 41)(26, 44)(29, 48)(30, 51)(32, 54)(34, 57)(35, 59)(36, 55)(37, 61)(40, 64)(42, 67)(43, 69)(45, 73)(46, 74)(47, 76)(49, 78)(50, 79)(52, 83)(53, 80)(56, 87)(58, 90)(60, 72)(62, 92)(63, 94)(65, 96)(66, 97)(68, 99)(70, 103)(71, 100)(75, 106)(77, 109)(81, 114)(82, 116)(84, 118)(85, 119)(86, 104)(88, 121)(89, 122)(91, 123)(93, 124)(95, 126)(98, 128)(101, 131)(102, 133)(105, 135)(107, 136)(108, 137)(110, 140)(111, 138)(112, 141)(113, 142)(115, 144)(117, 145)(120, 146)(125, 147)(127, 148)(129, 150)(130, 151)(132, 153)(134, 154)(139, 156)(143, 157)(149, 158)(152, 159)(155, 160)(161, 162, 165, 170, 164)(163, 167, 174, 177, 168)(166, 172, 183, 186, 173)(169, 178, 192, 194, 179)(171, 181, 197, 200, 182)(175, 188, 207, 209, 189)(176, 190, 210, 202, 184)(180, 195, 218, 220, 196)(185, 203, 228, 222, 198)(187, 205, 232, 235, 206)(191, 212, 242, 221, 213)(193, 215, 246, 248, 216)(199, 223, 253, 251, 219)(201, 225, 217, 249, 226)(204, 230, 262, 250, 231)(208, 237, 268, 264, 233)(211, 240, 252, 275, 241)(214, 244, 224, 255, 245)(227, 258, 267, 236, 256)(229, 260, 283, 292, 261)(234, 265, 284, 277, 243)(238, 270, 286, 276, 271)(239, 272, 266, 293, 273)(247, 280, 285, 254, 278)(257, 287, 281, 294, 263)(259, 289, 282, 279, 290)(269, 298, 305, 307, 299)(274, 303, 313, 295, 301)(288, 302, 314, 297, 309)(291, 312, 306, 308, 310)(296, 315, 304, 311, 300)(316, 319, 317, 320, 318)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 8 ), ( 8^5 ) }
Outer automorphisms :: reflexible
Dual of E5.334
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 160 f = 40
	degree seq :: [ 2^80, 5^32 ]

E5.334 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^5, T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 161, 3, 163, 8, 168, 4, 164)(2, 162, 5, 165, 11, 171, 6, 166)(7, 167, 13, 173, 24, 184, 14, 174)(9, 169, 16, 176, 29, 189, 17, 177)(10, 170, 18, 178, 32, 192, 19, 179)(12, 172, 21, 181, 37, 197, 22, 182)(15, 175, 26, 186, 44, 204, 27, 187)(20, 180, 34, 194, 55, 215, 35, 195)(23, 183, 38, 198, 60, 220, 39, 199)(25, 185, 41, 201, 65, 225, 42, 202)(28, 188, 46, 206, 70, 230, 47, 207)(30, 190, 49, 209, 50, 210, 31, 191)(33, 193, 52, 212, 77, 237, 53, 213)(36, 196, 57, 217, 82, 242, 58, 218)(40, 200, 62, 222, 48, 208, 63, 223)(43, 203, 66, 226, 92, 252, 67, 227)(45, 205, 68, 228, 95, 255, 69, 229)(51, 211, 74, 234, 59, 219, 75, 235)(54, 214, 78, 238, 108, 268, 79, 239)(56, 216, 80, 240, 111, 271, 81, 241)(61, 221, 85, 245, 112, 272, 86, 246)(64, 224, 89, 249, 122, 282, 90, 250)(71, 231, 97, 257, 129, 289, 98, 258)(72, 232, 99, 259, 107, 267, 100, 260)(73, 233, 101, 261, 96, 256, 102, 262)(76, 236, 105, 265, 136, 296, 106, 266)(83, 243, 113, 273, 143, 303, 114, 274)(84, 244, 115, 275, 91, 251, 116, 276)(87, 247, 118, 278, 147, 307, 119, 279)(88, 248, 120, 280, 148, 308, 121, 281)(93, 253, 125, 285, 140, 300, 110, 270)(94, 254, 109, 269, 139, 299, 126, 286)(103, 263, 132, 292, 155, 315, 133, 293)(104, 264, 134, 294, 156, 316, 135, 295)(117, 277, 145, 305, 130, 290, 146, 306)(123, 283, 149, 309, 128, 288, 150, 310)(124, 284, 151, 311, 127, 287, 152, 312)(131, 291, 153, 313, 144, 304, 154, 314)(137, 297, 157, 317, 142, 302, 158, 318)(138, 298, 159, 319, 141, 301, 160, 320)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 170)(6, 172)(7, 163)(8, 175)(9, 164)(10, 165)(11, 180)(12, 166)(13, 183)(14, 185)(15, 168)(16, 188)(17, 190)(18, 191)(19, 193)(20, 171)(21, 196)(22, 198)(23, 173)(24, 200)(25, 174)(26, 203)(27, 205)(28, 176)(29, 208)(30, 177)(31, 178)(32, 211)(33, 179)(34, 214)(35, 216)(36, 181)(37, 219)(38, 182)(39, 221)(40, 184)(41, 224)(42, 226)(43, 186)(44, 215)(45, 187)(46, 229)(47, 231)(48, 189)(49, 232)(50, 233)(51, 192)(52, 236)(53, 238)(54, 194)(55, 204)(56, 195)(57, 241)(58, 243)(59, 197)(60, 244)(61, 199)(62, 247)(63, 248)(64, 201)(65, 251)(66, 202)(67, 253)(68, 254)(69, 206)(70, 256)(71, 207)(72, 209)(73, 210)(74, 263)(75, 264)(76, 212)(77, 267)(78, 213)(79, 269)(80, 270)(81, 217)(82, 272)(83, 218)(84, 220)(85, 277)(86, 278)(87, 222)(88, 223)(89, 281)(90, 283)(91, 225)(92, 284)(93, 227)(94, 228)(95, 287)(96, 230)(97, 288)(98, 280)(99, 279)(100, 290)(101, 291)(102, 292)(103, 234)(104, 235)(105, 295)(106, 297)(107, 237)(108, 298)(109, 239)(110, 240)(111, 301)(112, 242)(113, 302)(114, 294)(115, 293)(116, 304)(117, 245)(118, 246)(119, 259)(120, 258)(121, 249)(122, 300)(123, 250)(124, 252)(125, 303)(126, 296)(127, 255)(128, 257)(129, 299)(130, 260)(131, 261)(132, 262)(133, 275)(134, 274)(135, 265)(136, 286)(137, 266)(138, 268)(139, 289)(140, 282)(141, 271)(142, 273)(143, 285)(144, 276)(145, 313)(146, 318)(147, 319)(148, 320)(149, 317)(150, 314)(151, 315)(152, 316)(153, 305)(154, 310)(155, 311)(156, 312)(157, 309)(158, 306)(159, 307)(160, 308)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E5.333
Transitivity :: ET+ VT+ AT
Graph::
	v = 40 e = 160 f = 112
	degree seq :: [ 8^40 ]

E5.335 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^5, (T2 * T1^-1)^4 ]
Map::
	R = (1, 161, 3, 163, 10, 170, 14, 174, 5, 165)(2, 162, 7, 167, 17, 177, 20, 180, 8, 168)(4, 164, 12, 172, 26, 186, 22, 182, 9, 169)(6, 166, 15, 175, 31, 191, 34, 194, 16, 176)(11, 171, 25, 185, 47, 207, 45, 205, 23, 183)(13, 173, 28, 188, 51, 211, 53, 213, 29, 189)(18, 178, 37, 197, 64, 224, 62, 222, 35, 195)(19, 179, 38, 198, 65, 225, 67, 227, 39, 199)(21, 181, 41, 201, 69, 229, 71, 231, 42, 202)(24, 184, 46, 206, 76, 236, 54, 214, 30, 190)(27, 187, 50, 210, 81, 241, 79, 239, 48, 208)(32, 192, 57, 217, 89, 249, 87, 247, 55, 215)(33, 193, 58, 218, 90, 250, 92, 252, 59, 219)(36, 196, 63, 223, 97, 257, 68, 228, 40, 200)(43, 203, 49, 209, 80, 240, 107, 267, 72, 232)(44, 204, 73, 233, 108, 268, 110, 270, 74, 234)(52, 212, 84, 244, 118, 278, 117, 277, 82, 242)(56, 216, 88, 248, 122, 282, 93, 253, 60, 220)(61, 221, 94, 254, 128, 288, 130, 290, 95, 255)(66, 226, 101, 261, 134, 294, 133, 293, 99, 259)(70, 230, 105, 265, 137, 297, 136, 296, 103, 263)(75, 235, 77, 237, 111, 271, 85, 245, 83, 243)(78, 238, 112, 272, 140, 300, 142, 302, 113, 273)(86, 246, 119, 279, 144, 304, 146, 306, 120, 280)(91, 251, 126, 286, 150, 310, 149, 309, 124, 284)(96, 256, 98, 258, 131, 291, 102, 262, 100, 260)(104, 264, 114, 274, 115, 275, 138, 298, 106, 266)(109, 269, 116, 276, 143, 303, 154, 314, 139, 299)(121, 281, 123, 283, 147, 307, 127, 287, 125, 285)(129, 289, 132, 292, 152, 312, 158, 318, 151, 311)(135, 295, 153, 313, 159, 319, 155, 315, 141, 301)(145, 305, 148, 308, 157, 317, 160, 320, 156, 316)
	L = (1, 162)(2, 166)(3, 169)(4, 161)(5, 173)(6, 164)(7, 165)(8, 179)(9, 181)(10, 183)(11, 163)(12, 176)(13, 178)(14, 190)(15, 168)(16, 193)(17, 195)(18, 167)(19, 192)(20, 200)(21, 171)(22, 203)(23, 204)(24, 170)(25, 202)(26, 208)(27, 172)(28, 174)(29, 210)(30, 212)(31, 215)(32, 175)(33, 187)(34, 220)(35, 221)(36, 177)(37, 189)(38, 180)(39, 185)(40, 226)(41, 182)(42, 217)(43, 230)(44, 184)(45, 235)(46, 234)(47, 227)(48, 238)(49, 186)(50, 219)(51, 242)(52, 188)(53, 245)(54, 223)(55, 246)(56, 191)(57, 199)(58, 194)(59, 197)(60, 251)(61, 196)(62, 256)(63, 255)(64, 252)(65, 259)(66, 198)(67, 262)(68, 248)(69, 263)(70, 201)(71, 266)(72, 206)(73, 205)(74, 265)(75, 269)(76, 267)(77, 207)(78, 209)(79, 274)(80, 273)(81, 213)(82, 276)(83, 211)(84, 214)(85, 275)(86, 216)(87, 281)(88, 280)(89, 231)(90, 284)(91, 218)(92, 287)(93, 240)(94, 222)(95, 244)(96, 289)(97, 236)(98, 224)(99, 292)(100, 225)(101, 228)(102, 237)(103, 295)(104, 229)(105, 232)(106, 283)(107, 282)(108, 299)(109, 233)(110, 294)(111, 291)(112, 239)(113, 286)(114, 301)(115, 241)(116, 243)(117, 300)(118, 290)(119, 247)(120, 261)(121, 305)(122, 257)(123, 249)(124, 308)(125, 250)(126, 253)(127, 258)(128, 311)(129, 254)(130, 310)(131, 307)(132, 260)(133, 268)(134, 306)(135, 264)(136, 304)(137, 270)(138, 271)(139, 312)(140, 315)(141, 272)(142, 278)(143, 277)(144, 316)(145, 279)(146, 297)(147, 298)(148, 285)(149, 288)(150, 302)(151, 317)(152, 293)(153, 296)(154, 319)(155, 303)(156, 313)(157, 309)(158, 314)(159, 320)(160, 318)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.331
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 160 f = 120
	degree seq :: [ 10^32 ]

E5.336 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1^-1)^4, (T2 * T1^-2)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 161, 3, 163)(2, 162, 6, 166)(4, 164, 9, 169)(5, 165, 11, 171)(7, 167, 15, 175)(8, 168, 16, 176)(10, 170, 20, 180)(12, 172, 24, 184)(13, 173, 25, 185)(14, 174, 27, 187)(17, 177, 31, 191)(18, 178, 33, 193)(19, 179, 28, 188)(21, 181, 38, 198)(22, 182, 39, 199)(23, 183, 41, 201)(26, 186, 44, 204)(29, 189, 48, 208)(30, 190, 51, 211)(32, 192, 54, 214)(34, 194, 57, 217)(35, 195, 59, 219)(36, 196, 55, 215)(37, 197, 61, 221)(40, 200, 64, 224)(42, 202, 67, 227)(43, 203, 69, 229)(45, 205, 73, 233)(46, 206, 74, 234)(47, 207, 76, 236)(49, 209, 78, 238)(50, 210, 79, 239)(52, 212, 83, 243)(53, 213, 80, 240)(56, 216, 87, 247)(58, 218, 90, 250)(60, 220, 72, 232)(62, 222, 92, 252)(63, 223, 94, 254)(65, 225, 96, 256)(66, 226, 97, 257)(68, 228, 99, 259)(70, 230, 103, 263)(71, 231, 100, 260)(75, 235, 106, 266)(77, 237, 109, 269)(81, 241, 114, 274)(82, 242, 116, 276)(84, 244, 118, 278)(85, 245, 119, 279)(86, 246, 104, 264)(88, 248, 121, 281)(89, 249, 122, 282)(91, 251, 123, 283)(93, 253, 124, 284)(95, 255, 126, 286)(98, 258, 128, 288)(101, 261, 131, 291)(102, 262, 133, 293)(105, 265, 135, 295)(107, 267, 136, 296)(108, 268, 137, 297)(110, 270, 140, 300)(111, 271, 138, 298)(112, 272, 141, 301)(113, 273, 142, 302)(115, 275, 144, 304)(117, 277, 145, 305)(120, 280, 146, 306)(125, 285, 147, 307)(127, 287, 148, 308)(129, 289, 150, 310)(130, 290, 151, 311)(132, 292, 153, 313)(134, 294, 154, 314)(139, 299, 156, 316)(143, 303, 157, 317)(149, 309, 158, 318)(152, 312, 159, 319)(155, 315, 160, 320)
	L = (1, 162)(2, 165)(3, 167)(4, 161)(5, 170)(6, 172)(7, 174)(8, 163)(9, 178)(10, 164)(11, 181)(12, 183)(13, 166)(14, 177)(15, 188)(16, 190)(17, 168)(18, 192)(19, 169)(20, 195)(21, 197)(22, 171)(23, 186)(24, 176)(25, 203)(26, 173)(27, 205)(28, 207)(29, 175)(30, 210)(31, 212)(32, 194)(33, 215)(34, 179)(35, 218)(36, 180)(37, 200)(38, 185)(39, 223)(40, 182)(41, 225)(42, 184)(43, 228)(44, 230)(45, 232)(46, 187)(47, 209)(48, 237)(49, 189)(50, 202)(51, 240)(52, 242)(53, 191)(54, 244)(55, 246)(56, 193)(57, 249)(58, 220)(59, 199)(60, 196)(61, 213)(62, 198)(63, 253)(64, 255)(65, 217)(66, 201)(67, 258)(68, 222)(69, 260)(70, 262)(71, 204)(72, 235)(73, 208)(74, 265)(75, 206)(76, 256)(77, 268)(78, 270)(79, 272)(80, 252)(81, 211)(82, 221)(83, 234)(84, 224)(85, 214)(86, 248)(87, 280)(88, 216)(89, 226)(90, 231)(91, 219)(92, 275)(93, 251)(94, 278)(95, 245)(96, 227)(97, 287)(98, 267)(99, 289)(100, 283)(101, 229)(102, 250)(103, 257)(104, 233)(105, 284)(106, 293)(107, 236)(108, 264)(109, 298)(110, 286)(111, 238)(112, 266)(113, 239)(114, 303)(115, 241)(116, 271)(117, 243)(118, 247)(119, 290)(120, 285)(121, 294)(122, 279)(123, 292)(124, 277)(125, 254)(126, 276)(127, 281)(128, 302)(129, 282)(130, 259)(131, 312)(132, 261)(133, 273)(134, 263)(135, 301)(136, 315)(137, 309)(138, 305)(139, 269)(140, 296)(141, 274)(142, 314)(143, 313)(144, 311)(145, 307)(146, 308)(147, 299)(148, 310)(149, 288)(150, 291)(151, 300)(152, 306)(153, 295)(154, 297)(155, 304)(156, 319)(157, 320)(158, 316)(159, 317)(160, 318)
	local type(s) :: { ( 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E5.332
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 80 e = 160 f = 72
	degree seq :: [ 4^80 ]

E5.337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|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)^5, (Y3 * Y2^-1)^5, (Y2^-1 * Y1 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1)^2 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 10, 170)(6, 166, 12, 172)(8, 168, 15, 175)(11, 171, 20, 180)(13, 173, 23, 183)(14, 174, 25, 185)(16, 176, 28, 188)(17, 177, 30, 190)(18, 178, 31, 191)(19, 179, 33, 193)(21, 181, 36, 196)(22, 182, 38, 198)(24, 184, 40, 200)(26, 186, 43, 203)(27, 187, 45, 205)(29, 189, 48, 208)(32, 192, 51, 211)(34, 194, 54, 214)(35, 195, 56, 216)(37, 197, 59, 219)(39, 199, 61, 221)(41, 201, 64, 224)(42, 202, 66, 226)(44, 204, 55, 215)(46, 206, 69, 229)(47, 207, 71, 231)(49, 209, 72, 232)(50, 210, 73, 233)(52, 212, 76, 236)(53, 213, 78, 238)(57, 217, 81, 241)(58, 218, 83, 243)(60, 220, 84, 244)(62, 222, 87, 247)(63, 223, 88, 248)(65, 225, 91, 251)(67, 227, 93, 253)(68, 228, 94, 254)(70, 230, 96, 256)(74, 234, 103, 263)(75, 235, 104, 264)(77, 237, 107, 267)(79, 239, 109, 269)(80, 240, 110, 270)(82, 242, 112, 272)(85, 245, 117, 277)(86, 246, 118, 278)(89, 249, 121, 281)(90, 250, 123, 283)(92, 252, 124, 284)(95, 255, 127, 287)(97, 257, 128, 288)(98, 258, 120, 280)(99, 259, 119, 279)(100, 260, 130, 290)(101, 261, 131, 291)(102, 262, 132, 292)(105, 265, 135, 295)(106, 266, 137, 297)(108, 268, 138, 298)(111, 271, 141, 301)(113, 273, 142, 302)(114, 274, 134, 294)(115, 275, 133, 293)(116, 276, 144, 304)(122, 282, 140, 300)(125, 285, 143, 303)(126, 286, 136, 296)(129, 289, 139, 299)(145, 305, 153, 313)(146, 306, 158, 318)(147, 307, 159, 319)(148, 308, 160, 320)(149, 309, 157, 317)(150, 310, 154, 314)(151, 311, 155, 315)(152, 312, 156, 316)(321, 481, 323, 483, 328, 488, 324, 484)(322, 482, 325, 485, 331, 491, 326, 486)(327, 487, 333, 493, 344, 504, 334, 494)(329, 489, 336, 496, 349, 509, 337, 497)(330, 490, 338, 498, 352, 512, 339, 499)(332, 492, 341, 501, 357, 517, 342, 502)(335, 495, 346, 506, 364, 524, 347, 507)(340, 500, 354, 514, 375, 535, 355, 515)(343, 503, 358, 518, 380, 540, 359, 519)(345, 505, 361, 521, 385, 545, 362, 522)(348, 508, 366, 526, 390, 550, 367, 527)(350, 510, 369, 529, 370, 530, 351, 511)(353, 513, 372, 532, 397, 557, 373, 533)(356, 516, 377, 537, 402, 562, 378, 538)(360, 520, 382, 542, 368, 528, 383, 543)(363, 523, 386, 546, 412, 572, 387, 547)(365, 525, 388, 548, 415, 575, 389, 549)(371, 531, 394, 554, 379, 539, 395, 555)(374, 534, 398, 558, 428, 588, 399, 559)(376, 536, 400, 560, 431, 591, 401, 561)(381, 541, 405, 565, 432, 592, 406, 566)(384, 544, 409, 569, 442, 602, 410, 570)(391, 551, 417, 577, 449, 609, 418, 578)(392, 552, 419, 579, 427, 587, 420, 580)(393, 553, 421, 581, 416, 576, 422, 582)(396, 556, 425, 585, 456, 616, 426, 586)(403, 563, 433, 593, 463, 623, 434, 594)(404, 564, 435, 595, 411, 571, 436, 596)(407, 567, 438, 598, 467, 627, 439, 599)(408, 568, 440, 600, 468, 628, 441, 601)(413, 573, 445, 605, 460, 620, 430, 590)(414, 574, 429, 589, 459, 619, 446, 606)(423, 583, 452, 612, 475, 635, 453, 613)(424, 584, 454, 614, 476, 636, 455, 615)(437, 597, 465, 625, 450, 610, 466, 626)(443, 603, 469, 629, 448, 608, 470, 630)(444, 604, 471, 631, 447, 607, 472, 632)(451, 611, 473, 633, 464, 624, 474, 634)(457, 617, 477, 637, 462, 622, 478, 638)(458, 618, 479, 639, 461, 621, 480, 640)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 330)(6, 332)(7, 323)(8, 335)(9, 324)(10, 325)(11, 340)(12, 326)(13, 343)(14, 345)(15, 328)(16, 348)(17, 350)(18, 351)(19, 353)(20, 331)(21, 356)(22, 358)(23, 333)(24, 360)(25, 334)(26, 363)(27, 365)(28, 336)(29, 368)(30, 337)(31, 338)(32, 371)(33, 339)(34, 374)(35, 376)(36, 341)(37, 379)(38, 342)(39, 381)(40, 344)(41, 384)(42, 386)(43, 346)(44, 375)(45, 347)(46, 389)(47, 391)(48, 349)(49, 392)(50, 393)(51, 352)(52, 396)(53, 398)(54, 354)(55, 364)(56, 355)(57, 401)(58, 403)(59, 357)(60, 404)(61, 359)(62, 407)(63, 408)(64, 361)(65, 411)(66, 362)(67, 413)(68, 414)(69, 366)(70, 416)(71, 367)(72, 369)(73, 370)(74, 423)(75, 424)(76, 372)(77, 427)(78, 373)(79, 429)(80, 430)(81, 377)(82, 432)(83, 378)(84, 380)(85, 437)(86, 438)(87, 382)(88, 383)(89, 441)(90, 443)(91, 385)(92, 444)(93, 387)(94, 388)(95, 447)(96, 390)(97, 448)(98, 440)(99, 439)(100, 450)(101, 451)(102, 452)(103, 394)(104, 395)(105, 455)(106, 457)(107, 397)(108, 458)(109, 399)(110, 400)(111, 461)(112, 402)(113, 462)(114, 454)(115, 453)(116, 464)(117, 405)(118, 406)(119, 419)(120, 418)(121, 409)(122, 460)(123, 410)(124, 412)(125, 463)(126, 456)(127, 415)(128, 417)(129, 459)(130, 420)(131, 421)(132, 422)(133, 435)(134, 434)(135, 425)(136, 446)(137, 426)(138, 428)(139, 449)(140, 442)(141, 431)(142, 433)(143, 445)(144, 436)(145, 473)(146, 478)(147, 479)(148, 480)(149, 477)(150, 474)(151, 475)(152, 476)(153, 465)(154, 470)(155, 471)(156, 472)(157, 469)(158, 466)(159, 467)(160, 468)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E5.340
Graph:: bipartite
	v = 120 e = 320 f = 192
	degree seq :: [ 4^80, 8^40 ]

E5.338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2^5, (Y2 * Y1^-1)^4 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 21, 181, 11, 171)(5, 165, 13, 173, 18, 178, 7, 167)(8, 168, 19, 179, 32, 192, 15, 175)(10, 170, 23, 183, 44, 204, 24, 184)(12, 172, 16, 176, 33, 193, 27, 187)(14, 174, 30, 190, 52, 212, 28, 188)(17, 177, 35, 195, 61, 221, 36, 196)(20, 180, 40, 200, 66, 226, 38, 198)(22, 182, 43, 203, 70, 230, 41, 201)(25, 185, 42, 202, 57, 217, 39, 199)(26, 186, 48, 208, 78, 238, 49, 209)(29, 189, 50, 210, 59, 219, 37, 197)(31, 191, 55, 215, 86, 246, 56, 216)(34, 194, 60, 220, 91, 251, 58, 218)(45, 205, 75, 235, 109, 269, 73, 233)(46, 206, 74, 234, 105, 265, 72, 232)(47, 207, 67, 227, 102, 262, 77, 237)(51, 211, 82, 242, 116, 276, 83, 243)(53, 213, 85, 245, 115, 275, 81, 241)(54, 214, 63, 223, 95, 255, 84, 244)(62, 222, 96, 256, 129, 289, 94, 254)(64, 224, 92, 252, 127, 287, 98, 258)(65, 225, 99, 259, 132, 292, 100, 260)(68, 228, 88, 248, 120, 280, 101, 261)(69, 229, 103, 263, 135, 295, 104, 264)(71, 231, 106, 266, 123, 283, 89, 249)(76, 236, 107, 267, 122, 282, 97, 257)(79, 239, 114, 274, 141, 301, 112, 272)(80, 240, 113, 273, 126, 286, 93, 253)(87, 247, 121, 281, 145, 305, 119, 279)(90, 250, 124, 284, 148, 308, 125, 285)(108, 268, 139, 299, 152, 312, 133, 293)(110, 270, 134, 294, 146, 306, 137, 297)(111, 271, 131, 291, 147, 307, 138, 298)(117, 277, 140, 300, 155, 315, 143, 303)(118, 278, 130, 290, 150, 310, 142, 302)(128, 288, 151, 311, 157, 317, 149, 309)(136, 296, 144, 304, 156, 316, 153, 313)(154, 314, 159, 319, 160, 320, 158, 318)(321, 481, 323, 483, 330, 490, 334, 494, 325, 485)(322, 482, 327, 487, 337, 497, 340, 500, 328, 488)(324, 484, 332, 492, 346, 506, 342, 502, 329, 489)(326, 486, 335, 495, 351, 511, 354, 514, 336, 496)(331, 491, 345, 505, 367, 527, 365, 525, 343, 503)(333, 493, 348, 508, 371, 531, 373, 533, 349, 509)(338, 498, 357, 517, 384, 544, 382, 542, 355, 515)(339, 499, 358, 518, 385, 545, 387, 547, 359, 519)(341, 501, 361, 521, 389, 549, 391, 551, 362, 522)(344, 504, 366, 526, 396, 556, 374, 534, 350, 510)(347, 507, 370, 530, 401, 561, 399, 559, 368, 528)(352, 512, 377, 537, 409, 569, 407, 567, 375, 535)(353, 513, 378, 538, 410, 570, 412, 572, 379, 539)(356, 516, 383, 543, 417, 577, 388, 548, 360, 520)(363, 523, 369, 529, 400, 560, 427, 587, 392, 552)(364, 524, 393, 553, 428, 588, 430, 590, 394, 554)(372, 532, 404, 564, 438, 598, 437, 597, 402, 562)(376, 536, 408, 568, 442, 602, 413, 573, 380, 540)(381, 541, 414, 574, 448, 608, 450, 610, 415, 575)(386, 546, 421, 581, 454, 614, 453, 613, 419, 579)(390, 550, 425, 585, 457, 617, 456, 616, 423, 583)(395, 555, 397, 557, 431, 591, 405, 565, 403, 563)(398, 558, 432, 592, 460, 620, 462, 622, 433, 593)(406, 566, 439, 599, 464, 624, 466, 626, 440, 600)(411, 571, 446, 606, 470, 630, 469, 629, 444, 604)(416, 576, 418, 578, 451, 611, 422, 582, 420, 580)(424, 584, 434, 594, 435, 595, 458, 618, 426, 586)(429, 589, 436, 596, 463, 623, 474, 634, 459, 619)(441, 601, 443, 603, 467, 627, 447, 607, 445, 605)(449, 609, 452, 612, 472, 632, 478, 638, 471, 631)(455, 615, 473, 633, 479, 639, 475, 635, 461, 621)(465, 625, 468, 628, 477, 637, 480, 640, 476, 636)
	L = (1, 323)(2, 327)(3, 330)(4, 332)(5, 321)(6, 335)(7, 337)(8, 322)(9, 324)(10, 334)(11, 345)(12, 346)(13, 348)(14, 325)(15, 351)(16, 326)(17, 340)(18, 357)(19, 358)(20, 328)(21, 361)(22, 329)(23, 331)(24, 366)(25, 367)(26, 342)(27, 370)(28, 371)(29, 333)(30, 344)(31, 354)(32, 377)(33, 378)(34, 336)(35, 338)(36, 383)(37, 384)(38, 385)(39, 339)(40, 356)(41, 389)(42, 341)(43, 369)(44, 393)(45, 343)(46, 396)(47, 365)(48, 347)(49, 400)(50, 401)(51, 373)(52, 404)(53, 349)(54, 350)(55, 352)(56, 408)(57, 409)(58, 410)(59, 353)(60, 376)(61, 414)(62, 355)(63, 417)(64, 382)(65, 387)(66, 421)(67, 359)(68, 360)(69, 391)(70, 425)(71, 362)(72, 363)(73, 428)(74, 364)(75, 397)(76, 374)(77, 431)(78, 432)(79, 368)(80, 427)(81, 399)(82, 372)(83, 395)(84, 438)(85, 403)(86, 439)(87, 375)(88, 442)(89, 407)(90, 412)(91, 446)(92, 379)(93, 380)(94, 448)(95, 381)(96, 418)(97, 388)(98, 451)(99, 386)(100, 416)(101, 454)(102, 420)(103, 390)(104, 434)(105, 457)(106, 424)(107, 392)(108, 430)(109, 436)(110, 394)(111, 405)(112, 460)(113, 398)(114, 435)(115, 458)(116, 463)(117, 402)(118, 437)(119, 464)(120, 406)(121, 443)(122, 413)(123, 467)(124, 411)(125, 441)(126, 470)(127, 445)(128, 450)(129, 452)(130, 415)(131, 422)(132, 472)(133, 419)(134, 453)(135, 473)(136, 423)(137, 456)(138, 426)(139, 429)(140, 462)(141, 455)(142, 433)(143, 474)(144, 466)(145, 468)(146, 440)(147, 447)(148, 477)(149, 444)(150, 469)(151, 449)(152, 478)(153, 479)(154, 459)(155, 461)(156, 465)(157, 480)(158, 471)(159, 475)(160, 476)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.339
Graph:: bipartite
	v = 72 e = 320 f = 240
	degree seq :: [ 8^40, 10^32 ]

E5.339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-1 * Y1^-1)^5, (Y2 * Y3^-2)^4, Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 ]
Map:: polytopal
	R = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)(321, 481, 322, 482)(323, 483, 327, 487)(324, 484, 329, 489)(325, 485, 331, 491)(326, 486, 333, 493)(328, 488, 337, 497)(330, 490, 340, 500)(332, 492, 343, 503)(334, 494, 346, 506)(335, 495, 345, 505)(336, 496, 348, 508)(338, 498, 352, 512)(339, 499, 341, 501)(342, 502, 358, 518)(344, 504, 362, 522)(347, 507, 367, 527)(349, 509, 370, 530)(350, 510, 369, 529)(351, 511, 372, 532)(353, 513, 376, 536)(354, 514, 377, 537)(355, 515, 378, 538)(356, 516, 374, 534)(357, 517, 381, 541)(359, 519, 384, 544)(360, 520, 383, 543)(361, 521, 386, 546)(363, 523, 390, 550)(364, 524, 391, 551)(365, 525, 392, 552)(366, 526, 388, 548)(368, 528, 397, 557)(371, 531, 394, 554)(373, 533, 403, 563)(375, 535, 405, 565)(379, 539, 411, 571)(380, 540, 385, 545)(382, 542, 414, 574)(387, 547, 420, 580)(389, 549, 422, 582)(393, 553, 428, 588)(395, 555, 412, 572)(396, 556, 429, 589)(398, 558, 432, 592)(399, 559, 421, 581)(400, 560, 433, 593)(401, 561, 430, 590)(402, 562, 435, 595)(404, 564, 416, 576)(406, 566, 440, 600)(407, 567, 439, 599)(408, 568, 441, 601)(409, 569, 442, 602)(410, 570, 443, 603)(413, 573, 444, 604)(415, 575, 447, 607)(417, 577, 448, 608)(418, 578, 445, 605)(419, 579, 450, 610)(423, 583, 455, 615)(424, 584, 454, 614)(425, 585, 456, 616)(426, 586, 457, 617)(427, 587, 458, 618)(431, 591, 460, 620)(434, 594, 452, 612)(436, 596, 451, 611)(437, 597, 449, 609)(438, 598, 466, 626)(446, 606, 468, 628)(453, 613, 474, 634)(459, 619, 475, 635)(461, 621, 473, 633)(462, 622, 477, 637)(463, 623, 472, 632)(464, 624, 471, 631)(465, 625, 469, 629)(467, 627, 478, 638)(470, 630, 480, 640)(476, 636, 479, 639)
	L = (1, 323)(2, 325)(3, 328)(4, 321)(5, 332)(6, 322)(7, 335)(8, 330)(9, 338)(10, 324)(11, 341)(12, 334)(13, 344)(14, 326)(15, 347)(16, 327)(17, 350)(18, 353)(19, 329)(20, 355)(21, 357)(22, 331)(23, 360)(24, 363)(25, 333)(26, 365)(27, 349)(28, 368)(29, 336)(30, 371)(31, 337)(32, 374)(33, 354)(34, 339)(35, 379)(36, 340)(37, 359)(38, 382)(39, 342)(40, 385)(41, 343)(42, 388)(43, 364)(44, 345)(45, 393)(46, 346)(47, 395)(48, 398)(49, 348)(50, 400)(51, 373)(52, 402)(53, 351)(54, 404)(55, 352)(56, 407)(57, 409)(58, 372)(59, 380)(60, 356)(61, 412)(62, 415)(63, 358)(64, 417)(65, 387)(66, 419)(67, 361)(68, 421)(69, 362)(70, 424)(71, 426)(72, 386)(73, 394)(74, 366)(75, 377)(76, 367)(77, 430)(78, 399)(79, 369)(80, 434)(81, 370)(82, 436)(83, 437)(84, 406)(85, 438)(86, 375)(87, 403)(88, 376)(89, 396)(90, 378)(91, 401)(92, 391)(93, 381)(94, 445)(95, 416)(96, 383)(97, 449)(98, 384)(99, 451)(100, 452)(101, 423)(102, 453)(103, 389)(104, 420)(105, 390)(106, 413)(107, 392)(108, 418)(109, 459)(110, 443)(111, 397)(112, 462)(113, 429)(114, 411)(115, 439)(116, 410)(117, 408)(118, 465)(119, 405)(120, 464)(121, 463)(122, 441)(123, 461)(124, 467)(125, 458)(126, 414)(127, 470)(128, 444)(129, 428)(130, 454)(131, 427)(132, 425)(133, 473)(134, 422)(135, 472)(136, 471)(137, 456)(138, 469)(139, 440)(140, 476)(141, 431)(142, 442)(143, 432)(144, 433)(145, 435)(146, 475)(147, 455)(148, 479)(149, 446)(150, 457)(151, 447)(152, 448)(153, 450)(154, 478)(155, 477)(156, 466)(157, 460)(158, 480)(159, 474)(160, 468)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 10 ), ( 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E5.338
Graph:: simple bipartite
	v = 240 e = 320 f = 72
	degree seq :: [ 2^160, 4^80 ]

E5.340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 161, 2, 162, 5, 165, 10, 170, 4, 164)(3, 163, 7, 167, 14, 174, 17, 177, 8, 168)(6, 166, 12, 172, 23, 183, 26, 186, 13, 173)(9, 169, 18, 178, 32, 192, 34, 194, 19, 179)(11, 171, 21, 181, 37, 197, 40, 200, 22, 182)(15, 175, 28, 188, 47, 207, 49, 209, 29, 189)(16, 176, 30, 190, 50, 210, 42, 202, 24, 184)(20, 180, 35, 195, 58, 218, 60, 220, 36, 196)(25, 185, 43, 203, 68, 228, 62, 222, 38, 198)(27, 187, 45, 205, 72, 232, 75, 235, 46, 206)(31, 191, 52, 212, 82, 242, 61, 221, 53, 213)(33, 193, 55, 215, 86, 246, 88, 248, 56, 216)(39, 199, 63, 223, 93, 253, 91, 251, 59, 219)(41, 201, 65, 225, 57, 217, 89, 249, 66, 226)(44, 204, 70, 230, 102, 262, 90, 250, 71, 231)(48, 208, 77, 237, 108, 268, 104, 264, 73, 233)(51, 211, 80, 240, 92, 252, 115, 275, 81, 241)(54, 214, 84, 244, 64, 224, 95, 255, 85, 245)(67, 227, 98, 258, 107, 267, 76, 236, 96, 256)(69, 229, 100, 260, 123, 283, 132, 292, 101, 261)(74, 234, 105, 265, 124, 284, 117, 277, 83, 243)(78, 238, 110, 270, 126, 286, 116, 276, 111, 271)(79, 239, 112, 272, 106, 266, 133, 293, 113, 273)(87, 247, 120, 280, 125, 285, 94, 254, 118, 278)(97, 257, 127, 287, 121, 281, 134, 294, 103, 263)(99, 259, 129, 289, 122, 282, 119, 279, 130, 290)(109, 269, 138, 298, 145, 305, 147, 307, 139, 299)(114, 274, 143, 303, 153, 313, 135, 295, 141, 301)(128, 288, 142, 302, 154, 314, 137, 297, 149, 309)(131, 291, 152, 312, 146, 306, 148, 308, 150, 310)(136, 296, 155, 315, 144, 304, 151, 311, 140, 300)(156, 316, 159, 319, 157, 317, 160, 320, 158, 318)(321, 481)(322, 482)(323, 483)(324, 484)(325, 485)(326, 486)(327, 487)(328, 488)(329, 489)(330, 490)(331, 491)(332, 492)(333, 493)(334, 494)(335, 495)(336, 496)(337, 497)(338, 498)(339, 499)(340, 500)(341, 501)(342, 502)(343, 503)(344, 504)(345, 505)(346, 506)(347, 507)(348, 508)(349, 509)(350, 510)(351, 511)(352, 512)(353, 513)(354, 514)(355, 515)(356, 516)(357, 517)(358, 518)(359, 519)(360, 520)(361, 521)(362, 522)(363, 523)(364, 524)(365, 525)(366, 526)(367, 527)(368, 528)(369, 529)(370, 530)(371, 531)(372, 532)(373, 533)(374, 534)(375, 535)(376, 536)(377, 537)(378, 538)(379, 539)(380, 540)(381, 541)(382, 542)(383, 543)(384, 544)(385, 545)(386, 546)(387, 547)(388, 548)(389, 549)(390, 550)(391, 551)(392, 552)(393, 553)(394, 554)(395, 555)(396, 556)(397, 557)(398, 558)(399, 559)(400, 560)(401, 561)(402, 562)(403, 563)(404, 564)(405, 565)(406, 566)(407, 567)(408, 568)(409, 569)(410, 570)(411, 571)(412, 572)(413, 573)(414, 574)(415, 575)(416, 576)(417, 577)(418, 578)(419, 579)(420, 580)(421, 581)(422, 582)(423, 583)(424, 584)(425, 585)(426, 586)(427, 587)(428, 588)(429, 589)(430, 590)(431, 591)(432, 592)(433, 593)(434, 594)(435, 595)(436, 596)(437, 597)(438, 598)(439, 599)(440, 600)(441, 601)(442, 602)(443, 603)(444, 604)(445, 605)(446, 606)(447, 607)(448, 608)(449, 609)(450, 610)(451, 611)(452, 612)(453, 613)(454, 614)(455, 615)(456, 616)(457, 617)(458, 618)(459, 619)(460, 620)(461, 621)(462, 622)(463, 623)(464, 624)(465, 625)(466, 626)(467, 627)(468, 628)(469, 629)(470, 630)(471, 631)(472, 632)(473, 633)(474, 634)(475, 635)(476, 636)(477, 637)(478, 638)(479, 639)(480, 640)
	L = (1, 323)(2, 326)(3, 321)(4, 329)(5, 331)(6, 322)(7, 335)(8, 336)(9, 324)(10, 340)(11, 325)(12, 344)(13, 345)(14, 347)(15, 327)(16, 328)(17, 351)(18, 353)(19, 348)(20, 330)(21, 358)(22, 359)(23, 361)(24, 332)(25, 333)(26, 364)(27, 334)(28, 339)(29, 368)(30, 371)(31, 337)(32, 374)(33, 338)(34, 377)(35, 379)(36, 375)(37, 381)(38, 341)(39, 342)(40, 384)(41, 343)(42, 387)(43, 389)(44, 346)(45, 393)(46, 394)(47, 396)(48, 349)(49, 398)(50, 399)(51, 350)(52, 403)(53, 400)(54, 352)(55, 356)(56, 407)(57, 354)(58, 410)(59, 355)(60, 392)(61, 357)(62, 412)(63, 414)(64, 360)(65, 416)(66, 417)(67, 362)(68, 419)(69, 363)(70, 423)(71, 420)(72, 380)(73, 365)(74, 366)(75, 426)(76, 367)(77, 429)(78, 369)(79, 370)(80, 373)(81, 434)(82, 436)(83, 372)(84, 438)(85, 439)(86, 424)(87, 376)(88, 441)(89, 442)(90, 378)(91, 443)(92, 382)(93, 444)(94, 383)(95, 446)(96, 385)(97, 386)(98, 448)(99, 388)(100, 391)(101, 451)(102, 453)(103, 390)(104, 406)(105, 455)(106, 395)(107, 456)(108, 457)(109, 397)(110, 460)(111, 458)(112, 461)(113, 462)(114, 401)(115, 464)(116, 402)(117, 465)(118, 404)(119, 405)(120, 466)(121, 408)(122, 409)(123, 411)(124, 413)(125, 467)(126, 415)(127, 468)(128, 418)(129, 470)(130, 471)(131, 421)(132, 473)(133, 422)(134, 474)(135, 425)(136, 427)(137, 428)(138, 431)(139, 476)(140, 430)(141, 432)(142, 433)(143, 477)(144, 435)(145, 437)(146, 440)(147, 445)(148, 447)(149, 478)(150, 449)(151, 450)(152, 479)(153, 452)(154, 454)(155, 480)(156, 459)(157, 463)(158, 469)(159, 472)(160, 475)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.337
Graph:: simple bipartite
	v = 192 e = 320 f = 120
	degree seq :: [ 2^160, 10^32 ]

E5.341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, (Y1 * Y2^-2)^4, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 11, 171)(6, 166, 13, 173)(8, 168, 17, 177)(10, 170, 20, 180)(12, 172, 23, 183)(14, 174, 26, 186)(15, 175, 25, 185)(16, 176, 28, 188)(18, 178, 32, 192)(19, 179, 21, 181)(22, 182, 38, 198)(24, 184, 42, 202)(27, 187, 47, 207)(29, 189, 50, 210)(30, 190, 49, 209)(31, 191, 52, 212)(33, 193, 56, 216)(34, 194, 57, 217)(35, 195, 58, 218)(36, 196, 54, 214)(37, 197, 61, 221)(39, 199, 64, 224)(40, 200, 63, 223)(41, 201, 66, 226)(43, 203, 70, 230)(44, 204, 71, 231)(45, 205, 72, 232)(46, 206, 68, 228)(48, 208, 77, 237)(51, 211, 74, 234)(53, 213, 83, 243)(55, 215, 85, 245)(59, 219, 91, 251)(60, 220, 65, 225)(62, 222, 94, 254)(67, 227, 100, 260)(69, 229, 102, 262)(73, 233, 108, 268)(75, 235, 92, 252)(76, 236, 109, 269)(78, 238, 112, 272)(79, 239, 101, 261)(80, 240, 113, 273)(81, 241, 110, 270)(82, 242, 115, 275)(84, 244, 96, 256)(86, 246, 120, 280)(87, 247, 119, 279)(88, 248, 121, 281)(89, 249, 122, 282)(90, 250, 123, 283)(93, 253, 124, 284)(95, 255, 127, 287)(97, 257, 128, 288)(98, 258, 125, 285)(99, 259, 130, 290)(103, 263, 135, 295)(104, 264, 134, 294)(105, 265, 136, 296)(106, 266, 137, 297)(107, 267, 138, 298)(111, 271, 140, 300)(114, 274, 132, 292)(116, 276, 131, 291)(117, 277, 129, 289)(118, 278, 146, 306)(126, 286, 148, 308)(133, 293, 154, 314)(139, 299, 155, 315)(141, 301, 153, 313)(142, 302, 157, 317)(143, 303, 152, 312)(144, 304, 151, 311)(145, 305, 149, 309)(147, 307, 158, 318)(150, 310, 160, 320)(156, 316, 159, 319)(321, 481, 323, 483, 328, 488, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 334, 494, 326, 486)(327, 487, 335, 495, 347, 507, 349, 509, 336, 496)(329, 489, 338, 498, 353, 513, 354, 514, 339, 499)(331, 491, 341, 501, 357, 517, 359, 519, 342, 502)(333, 493, 344, 504, 363, 523, 364, 524, 345, 505)(337, 497, 350, 510, 371, 531, 373, 533, 351, 511)(340, 500, 355, 515, 379, 539, 380, 540, 356, 516)(343, 503, 360, 520, 385, 545, 387, 547, 361, 521)(346, 506, 365, 525, 393, 553, 394, 554, 366, 526)(348, 508, 368, 528, 398, 558, 399, 559, 369, 529)(352, 512, 374, 534, 404, 564, 406, 566, 375, 535)(358, 518, 382, 542, 415, 575, 416, 576, 383, 543)(362, 522, 388, 548, 421, 581, 423, 583, 389, 549)(367, 527, 395, 555, 377, 537, 409, 569, 396, 556)(370, 530, 400, 560, 434, 594, 411, 571, 401, 561)(372, 532, 402, 562, 436, 596, 410, 570, 378, 538)(376, 536, 407, 567, 403, 563, 437, 597, 408, 568)(381, 541, 412, 572, 391, 551, 426, 586, 413, 573)(384, 544, 417, 577, 449, 609, 428, 588, 418, 578)(386, 546, 419, 579, 451, 611, 427, 587, 392, 552)(390, 550, 424, 584, 420, 580, 452, 612, 425, 585)(397, 557, 430, 590, 443, 603, 461, 621, 431, 591)(405, 565, 438, 598, 465, 625, 435, 595, 439, 599)(414, 574, 445, 605, 458, 618, 469, 629, 446, 606)(422, 582, 453, 613, 473, 633, 450, 610, 454, 614)(429, 589, 459, 619, 440, 600, 464, 624, 433, 593)(432, 592, 462, 622, 442, 602, 441, 601, 463, 623)(444, 604, 467, 627, 455, 615, 472, 632, 448, 608)(447, 607, 470, 630, 457, 617, 456, 616, 471, 631)(460, 620, 476, 636, 466, 626, 475, 635, 477, 637)(468, 628, 479, 639, 474, 634, 478, 638, 480, 640)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 337)(9, 324)(10, 340)(11, 325)(12, 343)(13, 326)(14, 346)(15, 345)(16, 348)(17, 328)(18, 352)(19, 341)(20, 330)(21, 339)(22, 358)(23, 332)(24, 362)(25, 335)(26, 334)(27, 367)(28, 336)(29, 370)(30, 369)(31, 372)(32, 338)(33, 376)(34, 377)(35, 378)(36, 374)(37, 381)(38, 342)(39, 384)(40, 383)(41, 386)(42, 344)(43, 390)(44, 391)(45, 392)(46, 388)(47, 347)(48, 397)(49, 350)(50, 349)(51, 394)(52, 351)(53, 403)(54, 356)(55, 405)(56, 353)(57, 354)(58, 355)(59, 411)(60, 385)(61, 357)(62, 414)(63, 360)(64, 359)(65, 380)(66, 361)(67, 420)(68, 366)(69, 422)(70, 363)(71, 364)(72, 365)(73, 428)(74, 371)(75, 412)(76, 429)(77, 368)(78, 432)(79, 421)(80, 433)(81, 430)(82, 435)(83, 373)(84, 416)(85, 375)(86, 440)(87, 439)(88, 441)(89, 442)(90, 443)(91, 379)(92, 395)(93, 444)(94, 382)(95, 447)(96, 404)(97, 448)(98, 445)(99, 450)(100, 387)(101, 399)(102, 389)(103, 455)(104, 454)(105, 456)(106, 457)(107, 458)(108, 393)(109, 396)(110, 401)(111, 460)(112, 398)(113, 400)(114, 452)(115, 402)(116, 451)(117, 449)(118, 466)(119, 407)(120, 406)(121, 408)(122, 409)(123, 410)(124, 413)(125, 418)(126, 468)(127, 415)(128, 417)(129, 437)(130, 419)(131, 436)(132, 434)(133, 474)(134, 424)(135, 423)(136, 425)(137, 426)(138, 427)(139, 475)(140, 431)(141, 473)(142, 477)(143, 472)(144, 471)(145, 469)(146, 438)(147, 478)(148, 446)(149, 465)(150, 480)(151, 464)(152, 463)(153, 461)(154, 453)(155, 459)(156, 479)(157, 462)(158, 467)(159, 476)(160, 470)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.342
Graph:: bipartite
	v = 112 e = 320 f = 200
	degree seq :: [ 4^80, 10^32 ]

E5.342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^4, (Y3^-1 * Y1)^4, (Y3 * Y2^-1)^5 ]
Map:: polytopal
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 21, 181, 11, 171)(5, 165, 13, 173, 18, 178, 7, 167)(8, 168, 19, 179, 32, 192, 15, 175)(10, 170, 23, 183, 44, 204, 24, 184)(12, 172, 16, 176, 33, 193, 27, 187)(14, 174, 30, 190, 52, 212, 28, 188)(17, 177, 35, 195, 61, 221, 36, 196)(20, 180, 40, 200, 66, 226, 38, 198)(22, 182, 43, 203, 70, 230, 41, 201)(25, 185, 42, 202, 57, 217, 39, 199)(26, 186, 48, 208, 78, 238, 49, 209)(29, 189, 50, 210, 59, 219, 37, 197)(31, 191, 55, 215, 86, 246, 56, 216)(34, 194, 60, 220, 91, 251, 58, 218)(45, 205, 75, 235, 109, 269, 73, 233)(46, 206, 74, 234, 105, 265, 72, 232)(47, 207, 67, 227, 102, 262, 77, 237)(51, 211, 82, 242, 116, 276, 83, 243)(53, 213, 85, 245, 115, 275, 81, 241)(54, 214, 63, 223, 95, 255, 84, 244)(62, 222, 96, 256, 129, 289, 94, 254)(64, 224, 92, 252, 127, 287, 98, 258)(65, 225, 99, 259, 132, 292, 100, 260)(68, 228, 88, 248, 120, 280, 101, 261)(69, 229, 103, 263, 135, 295, 104, 264)(71, 231, 106, 266, 123, 283, 89, 249)(76, 236, 107, 267, 122, 282, 97, 257)(79, 239, 114, 274, 141, 301, 112, 272)(80, 240, 113, 273, 126, 286, 93, 253)(87, 247, 121, 281, 145, 305, 119, 279)(90, 250, 124, 284, 148, 308, 125, 285)(108, 268, 139, 299, 152, 312, 133, 293)(110, 270, 134, 294, 146, 306, 137, 297)(111, 271, 131, 291, 147, 307, 138, 298)(117, 277, 140, 300, 155, 315, 143, 303)(118, 278, 130, 290, 150, 310, 142, 302)(128, 288, 151, 311, 157, 317, 149, 309)(136, 296, 144, 304, 156, 316, 153, 313)(154, 314, 159, 319, 160, 320, 158, 318)(321, 481)(322, 482)(323, 483)(324, 484)(325, 485)(326, 486)(327, 487)(328, 488)(329, 489)(330, 490)(331, 491)(332, 492)(333, 493)(334, 494)(335, 495)(336, 496)(337, 497)(338, 498)(339, 499)(340, 500)(341, 501)(342, 502)(343, 503)(344, 504)(345, 505)(346, 506)(347, 507)(348, 508)(349, 509)(350, 510)(351, 511)(352, 512)(353, 513)(354, 514)(355, 515)(356, 516)(357, 517)(358, 518)(359, 519)(360, 520)(361, 521)(362, 522)(363, 523)(364, 524)(365, 525)(366, 526)(367, 527)(368, 528)(369, 529)(370, 530)(371, 531)(372, 532)(373, 533)(374, 534)(375, 535)(376, 536)(377, 537)(378, 538)(379, 539)(380, 540)(381, 541)(382, 542)(383, 543)(384, 544)(385, 545)(386, 546)(387, 547)(388, 548)(389, 549)(390, 550)(391, 551)(392, 552)(393, 553)(394, 554)(395, 555)(396, 556)(397, 557)(398, 558)(399, 559)(400, 560)(401, 561)(402, 562)(403, 563)(404, 564)(405, 565)(406, 566)(407, 567)(408, 568)(409, 569)(410, 570)(411, 571)(412, 572)(413, 573)(414, 574)(415, 575)(416, 576)(417, 577)(418, 578)(419, 579)(420, 580)(421, 581)(422, 582)(423, 583)(424, 584)(425, 585)(426, 586)(427, 587)(428, 588)(429, 589)(430, 590)(431, 591)(432, 592)(433, 593)(434, 594)(435, 595)(436, 596)(437, 597)(438, 598)(439, 599)(440, 600)(441, 601)(442, 602)(443, 603)(444, 604)(445, 605)(446, 606)(447, 607)(448, 608)(449, 609)(450, 610)(451, 611)(452, 612)(453, 613)(454, 614)(455, 615)(456, 616)(457, 617)(458, 618)(459, 619)(460, 620)(461, 621)(462, 622)(463, 623)(464, 624)(465, 625)(466, 626)(467, 627)(468, 628)(469, 629)(470, 630)(471, 631)(472, 632)(473, 633)(474, 634)(475, 635)(476, 636)(477, 637)(478, 638)(479, 639)(480, 640)
	L = (1, 323)(2, 327)(3, 330)(4, 332)(5, 321)(6, 335)(7, 337)(8, 322)(9, 324)(10, 334)(11, 345)(12, 346)(13, 348)(14, 325)(15, 351)(16, 326)(17, 340)(18, 357)(19, 358)(20, 328)(21, 361)(22, 329)(23, 331)(24, 366)(25, 367)(26, 342)(27, 370)(28, 371)(29, 333)(30, 344)(31, 354)(32, 377)(33, 378)(34, 336)(35, 338)(36, 383)(37, 384)(38, 385)(39, 339)(40, 356)(41, 389)(42, 341)(43, 369)(44, 393)(45, 343)(46, 396)(47, 365)(48, 347)(49, 400)(50, 401)(51, 373)(52, 404)(53, 349)(54, 350)(55, 352)(56, 408)(57, 409)(58, 410)(59, 353)(60, 376)(61, 414)(62, 355)(63, 417)(64, 382)(65, 387)(66, 421)(67, 359)(68, 360)(69, 391)(70, 425)(71, 362)(72, 363)(73, 428)(74, 364)(75, 397)(76, 374)(77, 431)(78, 432)(79, 368)(80, 427)(81, 399)(82, 372)(83, 395)(84, 438)(85, 403)(86, 439)(87, 375)(88, 442)(89, 407)(90, 412)(91, 446)(92, 379)(93, 380)(94, 448)(95, 381)(96, 418)(97, 388)(98, 451)(99, 386)(100, 416)(101, 454)(102, 420)(103, 390)(104, 434)(105, 457)(106, 424)(107, 392)(108, 430)(109, 436)(110, 394)(111, 405)(112, 460)(113, 398)(114, 435)(115, 458)(116, 463)(117, 402)(118, 437)(119, 464)(120, 406)(121, 443)(122, 413)(123, 467)(124, 411)(125, 441)(126, 470)(127, 445)(128, 450)(129, 452)(130, 415)(131, 422)(132, 472)(133, 419)(134, 453)(135, 473)(136, 423)(137, 456)(138, 426)(139, 429)(140, 462)(141, 455)(142, 433)(143, 474)(144, 466)(145, 468)(146, 440)(147, 447)(148, 477)(149, 444)(150, 469)(151, 449)(152, 478)(153, 479)(154, 459)(155, 461)(156, 465)(157, 480)(158, 471)(159, 475)(160, 476)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E5.341
Graph:: simple bipartite
	v = 200 e = 320 f = 112
	degree seq :: [ 2^160, 8^40 ]

E5.343 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2)^3, T1^8, (T1^-2 * T2 * T1^2 * T2 * T1^-1)^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, 122, 84, 54, 33)(22, 37, 60, 91, 130, 94, 61, 38)(28, 47, 74, 110, 127, 93, 75, 48)(30, 50, 78, 115, 128, 103, 68, 42)(35, 57, 88, 125, 158, 124, 87, 56)(36, 58, 89, 126, 159, 129, 90, 59)(43, 69, 104, 86, 123, 137, 97, 63)(46, 72, 109, 146, 168, 138, 99, 73)(51, 80, 118, 143, 171, 153, 117, 79)(53, 82, 120, 132, 92, 64, 98, 83)(67, 101, 141, 169, 147, 112, 133, 102)(70, 106, 81, 119, 154, 172, 144, 105)(71, 107, 134, 165, 180, 173, 145, 108)(76, 113, 150, 116, 152, 176, 149, 111)(96, 135, 166, 183, 170, 142, 161, 136)(100, 139, 162, 181, 177, 151, 114, 140)(121, 156, 160, 148, 175, 187, 179, 155)(131, 163, 182, 189, 184, 167, 157, 164)(174, 185, 190, 192, 191, 188, 178, 186)
	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, 111)(75, 112)(77, 114)(78, 116)(80, 108)(83, 119)(84, 121)(85, 118)(87, 123)(88, 115)(89, 127)(90, 128)(91, 131)(94, 133)(95, 134)(97, 135)(98, 138)(102, 139)(103, 142)(104, 143)(106, 140)(109, 147)(110, 148)(113, 151)(117, 152)(120, 155)(122, 145)(124, 157)(125, 150)(126, 160)(129, 161)(130, 162)(132, 163)(136, 165)(137, 167)(141, 170)(144, 171)(146, 174)(149, 175)(153, 178)(154, 168)(156, 173)(158, 177)(159, 180)(164, 181)(166, 184)(169, 185)(172, 186)(176, 188)(179, 182)(183, 190)(187, 191)(189, 192)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: reflexible
Dual of E5.344
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 24 e = 96 f = 64
	degree seq :: [ 8^24 ]

E5.344 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1)^8, (T1^-1 * T2)^8, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * 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, 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, 150, 149)(119, 157, 158)(120, 159, 145)(121, 144, 160)(122, 161, 162)(123, 163, 164)(124, 156, 125)(126, 165, 148)(127, 147, 166)(128, 167, 168)(129, 169, 154)(130, 153, 170)(131, 171, 172)(146, 173, 177)(151, 178, 175)(152, 174, 179)(155, 176, 180)(181, 185, 192)(182, 190, 187)(183, 186, 191)(184, 188, 189)
	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, 173)(133, 159)(134, 158)(135, 174)(136, 175)(137, 172)(138, 171)(139, 163)(140, 162)(141, 176)(142, 169)(143, 168)(157, 181)(160, 182)(161, 183)(164, 184)(165, 185)(166, 186)(167, 187)(170, 188)(177, 189)(178, 190)(179, 191)(180, 192)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: reflexible
Dual of E5.343
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 96 f = 24
	degree seq :: [ 3^64 ]

E5.345 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1)^8, (T2^-1 * T1)^8, T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 ]
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, 173, 185)(170, 186, 175)(171, 174, 187)(172, 176, 188)(177, 181, 189)(178, 190, 183)(179, 182, 191)(180, 184, 192)(193, 194)(195, 199)(196, 200)(197, 201)(198, 202)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(209, 217)(210, 218)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(225, 241)(226, 242)(227, 243)(228, 244)(229, 245)(230, 246)(231, 247)(232, 248)(233, 249)(234, 250)(251, 282)(252, 283)(253, 284)(254, 285)(255, 286)(256, 287)(257, 288)(258, 289)(259, 290)(260, 291)(261, 292)(262, 293)(263, 294)(264, 295)(265, 296)(266, 267)(268, 297)(269, 298)(270, 299)(271, 300)(272, 301)(273, 302)(274, 303)(275, 304)(276, 305)(277, 306)(278, 307)(279, 308)(280, 309)(281, 310)(311, 342)(312, 341)(313, 361)(314, 351)(315, 350)(316, 337)(317, 336)(318, 362)(319, 363)(320, 357)(321, 356)(322, 364)(323, 348)(324, 365)(325, 340)(326, 339)(327, 366)(328, 367)(329, 360)(330, 359)(331, 346)(332, 345)(333, 368)(334, 355)(335, 354)(338, 369)(343, 370)(344, 371)(347, 372)(349, 373)(352, 374)(353, 375)(358, 376)(377, 384)(378, 382)(379, 383)(380, 381)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 16, 16 ), ( 16^3 ) }
Outer automorphisms :: reflexible
Dual of E5.349
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 192 f = 24
	degree seq :: [ 2^96, 3^64 ]

E5.346 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1 * T2 * T1^-1 * T2 * T1 * T2^2, T2^8, T2^3 * T1^-1 * T2^-2 * T1 * T2^4 * T1 * T2^-1 * T1 ]
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, 156, 102, 63, 36)(25, 45, 77, 121, 141, 124, 78, 46)(28, 51, 84, 131, 101, 127, 80, 48)(31, 54, 89, 140, 146, 143, 90, 55)(33, 57, 92, 145, 122, 148, 93, 58)(38, 66, 105, 157, 179, 139, 103, 64)(42, 72, 113, 165, 126, 155, 111, 70)(47, 65, 104, 135, 178, 174, 125, 79)(50, 83, 130, 175, 154, 99, 128, 81)(56, 82, 129, 109, 163, 182, 144, 91)(59, 94, 149, 116, 167, 184, 150, 95)(61, 97, 152, 114, 74, 117, 153, 98)(69, 110, 164, 138, 87, 137, 162, 108)(71, 112, 160, 187, 170, 120, 151, 96)(75, 118, 168, 133, 86, 136, 169, 119)(107, 161, 188, 183, 147, 173, 186, 159)(123, 171, 185, 158, 132, 177, 190, 172)(142, 180, 191, 176, 166, 189, 192, 181)(193, 194, 196)(195, 200, 202)(197, 204, 198)(199, 207, 203)(201, 210, 212)(205, 217, 215)(206, 216, 220)(208, 223, 221)(209, 225, 213)(211, 228, 230)(214, 222, 234)(218, 239, 237)(219, 240, 242)(224, 248, 246)(226, 251, 249)(227, 253, 231)(229, 256, 257)(232, 250, 261)(233, 262, 263)(235, 238, 266)(236, 267, 243)(241, 273, 274)(244, 247, 278)(245, 279, 264)(252, 288, 286)(254, 291, 289)(255, 293, 258)(259, 290, 299)(260, 300, 301)(265, 306, 308)(268, 312, 310)(269, 271, 314)(270, 315, 309)(272, 318, 275)(276, 311, 324)(277, 325, 327)(280, 331, 329)(281, 283, 333)(282, 334, 328)(284, 287, 338)(285, 339, 302)(292, 321, 320)(294, 347, 319)(295, 326, 296)(297, 323, 350)(298, 351, 352)(303, 348, 304)(305, 330, 358)(307, 341, 343)(313, 337, 332)(316, 336, 363)(317, 365, 340)(322, 357, 368)(335, 342, 372)(344, 346, 359)(345, 364, 353)(349, 377, 374)(354, 371, 355)(356, 375, 381)(360, 362, 370)(361, 373, 369)(366, 379, 378)(367, 383, 376)(380, 382, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^3 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E5.350
Transitivity :: ET+
Graph:: simple bipartite
	v = 88 e = 192 f = 96
	degree seq :: [ 3^64, 8^24 ]

E5.347 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^8, (T1^-2 * T2 * T1^2 * T2 * T1^-1)^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, 111)(75, 112)(77, 114)(78, 116)(80, 108)(83, 119)(84, 121)(85, 118)(87, 123)(88, 115)(89, 127)(90, 128)(91, 131)(94, 133)(95, 134)(97, 135)(98, 138)(102, 139)(103, 142)(104, 143)(106, 140)(109, 147)(110, 148)(113, 151)(117, 152)(120, 155)(122, 145)(124, 157)(125, 150)(126, 160)(129, 161)(130, 162)(132, 163)(136, 165)(137, 167)(141, 170)(144, 171)(146, 174)(149, 175)(153, 178)(154, 168)(156, 173)(158, 177)(159, 180)(164, 181)(166, 184)(169, 185)(172, 186)(176, 188)(179, 182)(183, 190)(187, 191)(189, 192)(193, 194, 197, 203, 213, 212, 202, 196)(195, 199, 207, 219, 237, 223, 209, 200)(198, 205, 217, 233, 258, 236, 218, 206)(201, 210, 224, 244, 269, 241, 221, 208)(204, 215, 231, 254, 287, 257, 232, 216)(211, 226, 247, 277, 314, 276, 246, 225)(214, 229, 252, 283, 322, 286, 253, 230)(220, 239, 266, 302, 319, 285, 267, 240)(222, 242, 270, 307, 320, 295, 260, 234)(227, 249, 280, 317, 350, 316, 279, 248)(228, 250, 281, 318, 351, 321, 282, 251)(235, 261, 296, 278, 315, 329, 289, 255)(238, 264, 301, 338, 360, 330, 291, 265)(243, 272, 310, 335, 363, 345, 309, 271)(245, 274, 312, 324, 284, 256, 290, 275)(259, 293, 333, 361, 339, 304, 325, 294)(262, 298, 273, 311, 346, 364, 336, 297)(263, 299, 326, 357, 372, 365, 337, 300)(268, 305, 342, 308, 344, 368, 341, 303)(288, 327, 358, 375, 362, 334, 353, 328)(292, 331, 354, 373, 369, 343, 306, 332)(313, 348, 352, 340, 367, 379, 371, 347)(323, 355, 374, 381, 376, 359, 349, 356)(366, 377, 382, 384, 383, 380, 370, 378)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E5.348
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 192 f = 64
	degree seq :: [ 2^96, 8^24 ]

E5.348 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1)^8, (T2^-1 * T1)^8, T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 ]
Map::
	R = (1, 193, 3, 195, 4, 196)(2, 194, 5, 197, 6, 198)(7, 199, 11, 203, 12, 204)(8, 200, 13, 205, 14, 206)(9, 201, 15, 207, 16, 208)(10, 202, 17, 209, 18, 210)(19, 211, 27, 219, 28, 220)(20, 212, 29, 221, 30, 222)(21, 213, 31, 223, 32, 224)(22, 214, 33, 225, 34, 226)(23, 215, 35, 227, 36, 228)(24, 216, 37, 229, 38, 230)(25, 217, 39, 231, 40, 232)(26, 218, 41, 233, 42, 234)(43, 235, 59, 251, 60, 252)(44, 236, 61, 253, 62, 254)(45, 237, 63, 255, 64, 256)(46, 238, 65, 257, 66, 258)(47, 239, 67, 259, 68, 260)(48, 240, 69, 261, 70, 262)(49, 241, 71, 263, 72, 264)(50, 242, 73, 265, 74, 266)(51, 243, 75, 267, 76, 268)(52, 244, 77, 269, 78, 270)(53, 245, 79, 271, 80, 272)(54, 246, 81, 273, 82, 274)(55, 247, 83, 275, 84, 276)(56, 248, 85, 277, 86, 278)(57, 249, 87, 279, 88, 280)(58, 250, 89, 281, 90, 282)(91, 283, 119, 311, 120, 312)(92, 284, 121, 313, 122, 314)(93, 285, 123, 315, 124, 316)(94, 286, 125, 317, 126, 318)(95, 287, 127, 319, 128, 320)(96, 288, 129, 321, 130, 322)(97, 289, 131, 323, 98, 290)(99, 291, 132, 324, 133, 325)(100, 292, 134, 326, 135, 327)(101, 293, 136, 328, 137, 329)(102, 294, 138, 330, 139, 331)(103, 295, 140, 332, 141, 333)(104, 296, 142, 334, 143, 335)(105, 297, 144, 336, 145, 337)(106, 298, 146, 338, 147, 339)(107, 299, 148, 340, 149, 341)(108, 300, 150, 342, 151, 343)(109, 301, 152, 344, 153, 345)(110, 302, 154, 346, 155, 347)(111, 303, 156, 348, 112, 304)(113, 305, 157, 349, 158, 350)(114, 306, 159, 351, 160, 352)(115, 307, 161, 353, 162, 354)(116, 308, 163, 355, 164, 356)(117, 309, 165, 357, 166, 358)(118, 310, 167, 359, 168, 360)(169, 361, 173, 365, 185, 377)(170, 362, 186, 378, 175, 367)(171, 363, 174, 366, 187, 379)(172, 364, 176, 368, 188, 380)(177, 369, 181, 373, 189, 381)(178, 370, 190, 382, 183, 375)(179, 371, 182, 374, 191, 383)(180, 372, 184, 376, 192, 384)
	L = (1, 194)(2, 193)(3, 199)(4, 200)(5, 201)(6, 202)(7, 195)(8, 196)(9, 197)(10, 198)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 203)(20, 204)(21, 205)(22, 206)(23, 207)(24, 208)(25, 209)(26, 210)(27, 235)(28, 236)(29, 237)(30, 238)(31, 239)(32, 240)(33, 241)(34, 242)(35, 243)(36, 244)(37, 245)(38, 246)(39, 247)(40, 248)(41, 249)(42, 250)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 282)(60, 283)(61, 284)(62, 285)(63, 286)(64, 287)(65, 288)(66, 289)(67, 290)(68, 291)(69, 292)(70, 293)(71, 294)(72, 295)(73, 296)(74, 267)(75, 266)(76, 297)(77, 298)(78, 299)(79, 300)(80, 301)(81, 302)(82, 303)(83, 304)(84, 305)(85, 306)(86, 307)(87, 308)(88, 309)(89, 310)(90, 251)(91, 252)(92, 253)(93, 254)(94, 255)(95, 256)(96, 257)(97, 258)(98, 259)(99, 260)(100, 261)(101, 262)(102, 263)(103, 264)(104, 265)(105, 268)(106, 269)(107, 270)(108, 271)(109, 272)(110, 273)(111, 274)(112, 275)(113, 276)(114, 277)(115, 278)(116, 279)(117, 280)(118, 281)(119, 342)(120, 341)(121, 361)(122, 351)(123, 350)(124, 337)(125, 336)(126, 362)(127, 363)(128, 357)(129, 356)(130, 364)(131, 348)(132, 365)(133, 340)(134, 339)(135, 366)(136, 367)(137, 360)(138, 359)(139, 346)(140, 345)(141, 368)(142, 355)(143, 354)(144, 317)(145, 316)(146, 369)(147, 326)(148, 325)(149, 312)(150, 311)(151, 370)(152, 371)(153, 332)(154, 331)(155, 372)(156, 323)(157, 373)(158, 315)(159, 314)(160, 374)(161, 375)(162, 335)(163, 334)(164, 321)(165, 320)(166, 376)(167, 330)(168, 329)(169, 313)(170, 318)(171, 319)(172, 322)(173, 324)(174, 327)(175, 328)(176, 333)(177, 338)(178, 343)(179, 344)(180, 347)(181, 349)(182, 352)(183, 353)(184, 358)(185, 384)(186, 382)(187, 383)(188, 381)(189, 380)(190, 378)(191, 379)(192, 377)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.347
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 64 e = 192 f = 120
	degree seq :: [ 6^64 ]

E5.349 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1 * T2 * T1^-1 * T2 * T1 * T2^2, T2^8, T2^3 * T1^-1 * T2^-2 * T1 * T2^4 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 193, 3, 195, 9, 201, 19, 211, 37, 229, 26, 218, 13, 205, 5, 197)(2, 194, 6, 198, 14, 206, 27, 219, 49, 241, 32, 224, 16, 208, 7, 199)(4, 196, 11, 203, 22, 214, 41, 233, 60, 252, 34, 226, 17, 209, 8, 200)(10, 202, 21, 213, 40, 232, 68, 260, 100, 292, 62, 254, 35, 227, 18, 210)(12, 204, 23, 215, 43, 235, 73, 265, 115, 307, 76, 268, 44, 236, 24, 216)(15, 207, 29, 221, 52, 244, 85, 277, 134, 326, 88, 280, 53, 245, 30, 222)(20, 212, 39, 231, 67, 259, 106, 298, 156, 348, 102, 294, 63, 255, 36, 228)(25, 217, 45, 237, 77, 269, 121, 313, 141, 333, 124, 316, 78, 270, 46, 238)(28, 220, 51, 243, 84, 276, 131, 323, 101, 293, 127, 319, 80, 272, 48, 240)(31, 223, 54, 246, 89, 281, 140, 332, 146, 338, 143, 335, 90, 282, 55, 247)(33, 225, 57, 249, 92, 284, 145, 337, 122, 314, 148, 340, 93, 285, 58, 250)(38, 230, 66, 258, 105, 297, 157, 349, 179, 371, 139, 331, 103, 295, 64, 256)(42, 234, 72, 264, 113, 305, 165, 357, 126, 318, 155, 347, 111, 303, 70, 262)(47, 239, 65, 257, 104, 296, 135, 327, 178, 370, 174, 366, 125, 317, 79, 271)(50, 242, 83, 275, 130, 322, 175, 367, 154, 346, 99, 291, 128, 320, 81, 273)(56, 248, 82, 274, 129, 321, 109, 301, 163, 355, 182, 374, 144, 336, 91, 283)(59, 251, 94, 286, 149, 341, 116, 308, 167, 359, 184, 376, 150, 342, 95, 287)(61, 253, 97, 289, 152, 344, 114, 306, 74, 266, 117, 309, 153, 345, 98, 290)(69, 261, 110, 302, 164, 356, 138, 330, 87, 279, 137, 329, 162, 354, 108, 300)(71, 263, 112, 304, 160, 352, 187, 379, 170, 362, 120, 312, 151, 343, 96, 288)(75, 267, 118, 310, 168, 360, 133, 325, 86, 278, 136, 328, 169, 361, 119, 311)(107, 299, 161, 353, 188, 380, 183, 375, 147, 339, 173, 365, 186, 378, 159, 351)(123, 315, 171, 363, 185, 377, 158, 350, 132, 324, 177, 369, 190, 382, 172, 364)(142, 334, 180, 372, 191, 383, 176, 368, 166, 358, 189, 381, 192, 384, 181, 373)
	L = (1, 194)(2, 196)(3, 200)(4, 193)(5, 204)(6, 197)(7, 207)(8, 202)(9, 210)(10, 195)(11, 199)(12, 198)(13, 217)(14, 216)(15, 203)(16, 223)(17, 225)(18, 212)(19, 228)(20, 201)(21, 209)(22, 222)(23, 205)(24, 220)(25, 215)(26, 239)(27, 240)(28, 206)(29, 208)(30, 234)(31, 221)(32, 248)(33, 213)(34, 251)(35, 253)(36, 230)(37, 256)(38, 211)(39, 227)(40, 250)(41, 262)(42, 214)(43, 238)(44, 267)(45, 218)(46, 266)(47, 237)(48, 242)(49, 273)(50, 219)(51, 236)(52, 247)(53, 279)(54, 224)(55, 278)(56, 246)(57, 226)(58, 261)(59, 249)(60, 288)(61, 231)(62, 291)(63, 293)(64, 257)(65, 229)(66, 255)(67, 290)(68, 300)(69, 232)(70, 263)(71, 233)(72, 245)(73, 306)(74, 235)(75, 243)(76, 312)(77, 271)(78, 315)(79, 314)(80, 318)(81, 274)(82, 241)(83, 272)(84, 311)(85, 325)(86, 244)(87, 264)(88, 331)(89, 283)(90, 334)(91, 333)(92, 287)(93, 339)(94, 252)(95, 338)(96, 286)(97, 254)(98, 299)(99, 289)(100, 321)(101, 258)(102, 347)(103, 326)(104, 295)(105, 323)(106, 351)(107, 259)(108, 301)(109, 260)(110, 285)(111, 348)(112, 303)(113, 330)(114, 308)(115, 341)(116, 265)(117, 270)(118, 268)(119, 324)(120, 310)(121, 337)(122, 269)(123, 309)(124, 336)(125, 365)(126, 275)(127, 294)(128, 292)(129, 320)(130, 357)(131, 350)(132, 276)(133, 327)(134, 296)(135, 277)(136, 282)(137, 280)(138, 358)(139, 329)(140, 313)(141, 281)(142, 328)(143, 342)(144, 363)(145, 332)(146, 284)(147, 302)(148, 317)(149, 343)(150, 372)(151, 307)(152, 346)(153, 364)(154, 359)(155, 319)(156, 304)(157, 377)(158, 297)(159, 352)(160, 298)(161, 345)(162, 371)(163, 354)(164, 375)(165, 368)(166, 305)(167, 344)(168, 362)(169, 373)(170, 370)(171, 316)(172, 353)(173, 340)(174, 379)(175, 383)(176, 322)(177, 361)(178, 360)(179, 355)(180, 335)(181, 369)(182, 349)(183, 381)(184, 367)(185, 374)(186, 366)(187, 378)(188, 382)(189, 356)(190, 384)(191, 376)(192, 380)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E5.345
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 192 f = 160
	degree seq :: [ 16^24 ]

E5.350 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^8, (T1^-2 * T2 * T1^2 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 13, 205)(10, 202, 19, 211)(11, 203, 22, 214)(14, 206, 23, 215)(15, 207, 28, 220)(17, 209, 30, 222)(18, 210, 33, 225)(20, 212, 35, 227)(21, 213, 36, 228)(24, 216, 37, 229)(25, 217, 42, 234)(26, 218, 43, 235)(27, 219, 46, 238)(29, 221, 47, 239)(31, 223, 51, 243)(32, 224, 53, 245)(34, 226, 56, 248)(38, 230, 58, 250)(39, 231, 63, 255)(40, 232, 64, 256)(41, 233, 67, 259)(44, 236, 70, 262)(45, 237, 71, 263)(48, 240, 72, 264)(49, 241, 76, 268)(50, 242, 79, 271)(52, 244, 81, 273)(54, 246, 82, 274)(55, 247, 86, 278)(57, 249, 59, 251)(60, 252, 92, 284)(61, 253, 93, 285)(62, 254, 96, 288)(65, 257, 99, 291)(66, 258, 100, 292)(68, 260, 101, 293)(69, 261, 105, 297)(73, 265, 107, 299)(74, 266, 111, 303)(75, 267, 112, 304)(77, 269, 114, 306)(78, 270, 116, 308)(80, 272, 108, 300)(83, 275, 119, 311)(84, 276, 121, 313)(85, 277, 118, 310)(87, 279, 123, 315)(88, 280, 115, 307)(89, 281, 127, 319)(90, 282, 128, 320)(91, 283, 131, 323)(94, 286, 133, 325)(95, 287, 134, 326)(97, 289, 135, 327)(98, 290, 138, 330)(102, 294, 139, 331)(103, 295, 142, 334)(104, 296, 143, 335)(106, 298, 140, 332)(109, 301, 147, 339)(110, 302, 148, 340)(113, 305, 151, 343)(117, 309, 152, 344)(120, 312, 155, 347)(122, 314, 145, 337)(124, 316, 157, 349)(125, 317, 150, 342)(126, 318, 160, 352)(129, 321, 161, 353)(130, 322, 162, 354)(132, 324, 163, 355)(136, 328, 165, 357)(137, 329, 167, 359)(141, 333, 170, 362)(144, 336, 171, 363)(146, 338, 174, 366)(149, 341, 175, 367)(153, 345, 178, 370)(154, 346, 168, 360)(156, 348, 173, 365)(158, 350, 177, 369)(159, 351, 180, 372)(164, 356, 181, 373)(166, 358, 184, 376)(169, 361, 185, 377)(172, 364, 186, 378)(176, 368, 188, 380)(179, 371, 182, 374)(183, 375, 190, 382)(187, 379, 191, 383)(189, 381, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 210)(10, 196)(11, 213)(12, 215)(13, 217)(14, 198)(15, 219)(16, 201)(17, 200)(18, 224)(19, 226)(20, 202)(21, 212)(22, 229)(23, 231)(24, 204)(25, 233)(26, 206)(27, 237)(28, 239)(29, 208)(30, 242)(31, 209)(32, 244)(33, 211)(34, 247)(35, 249)(36, 250)(37, 252)(38, 214)(39, 254)(40, 216)(41, 258)(42, 222)(43, 261)(44, 218)(45, 223)(46, 264)(47, 266)(48, 220)(49, 221)(50, 270)(51, 272)(52, 269)(53, 274)(54, 225)(55, 277)(56, 227)(57, 280)(58, 281)(59, 228)(60, 283)(61, 230)(62, 287)(63, 235)(64, 290)(65, 232)(66, 236)(67, 293)(68, 234)(69, 296)(70, 298)(71, 299)(72, 301)(73, 238)(74, 302)(75, 240)(76, 305)(77, 241)(78, 307)(79, 243)(80, 310)(81, 311)(82, 312)(83, 245)(84, 246)(85, 314)(86, 315)(87, 248)(88, 317)(89, 318)(90, 251)(91, 322)(92, 256)(93, 267)(94, 253)(95, 257)(96, 327)(97, 255)(98, 275)(99, 265)(100, 331)(101, 333)(102, 259)(103, 260)(104, 278)(105, 262)(106, 273)(107, 326)(108, 263)(109, 338)(110, 319)(111, 268)(112, 325)(113, 342)(114, 332)(115, 320)(116, 344)(117, 271)(118, 335)(119, 346)(120, 324)(121, 348)(122, 276)(123, 329)(124, 279)(125, 350)(126, 351)(127, 285)(128, 295)(129, 282)(130, 286)(131, 355)(132, 284)(133, 294)(134, 357)(135, 358)(136, 288)(137, 289)(138, 291)(139, 354)(140, 292)(141, 361)(142, 353)(143, 363)(144, 297)(145, 300)(146, 360)(147, 304)(148, 367)(149, 303)(150, 308)(151, 306)(152, 368)(153, 309)(154, 364)(155, 313)(156, 352)(157, 356)(158, 316)(159, 321)(160, 340)(161, 328)(162, 373)(163, 374)(164, 323)(165, 372)(166, 375)(167, 349)(168, 330)(169, 339)(170, 334)(171, 345)(172, 336)(173, 337)(174, 377)(175, 379)(176, 341)(177, 343)(178, 378)(179, 347)(180, 365)(181, 369)(182, 381)(183, 362)(184, 359)(185, 382)(186, 366)(187, 371)(188, 370)(189, 376)(190, 384)(191, 380)(192, 383)
	local type(s) :: { ( 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E5.346
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 96 e = 192 f = 88
	degree seq :: [ 4^96 ]

E5.351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^8, (Y2^-1 * Y1)^8, (Y3 * Y2^-1)^8, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 8, 200)(5, 197, 9, 201)(6, 198, 10, 202)(11, 203, 19, 211)(12, 204, 20, 212)(13, 205, 21, 213)(14, 206, 22, 214)(15, 207, 23, 215)(16, 208, 24, 216)(17, 209, 25, 217)(18, 210, 26, 218)(27, 219, 43, 235)(28, 220, 44, 236)(29, 221, 45, 237)(30, 222, 46, 238)(31, 223, 47, 239)(32, 224, 48, 240)(33, 225, 49, 241)(34, 226, 50, 242)(35, 227, 51, 243)(36, 228, 52, 244)(37, 229, 53, 245)(38, 230, 54, 246)(39, 231, 55, 247)(40, 232, 56, 248)(41, 233, 57, 249)(42, 234, 58, 250)(59, 251, 90, 282)(60, 252, 91, 283)(61, 253, 92, 284)(62, 254, 93, 285)(63, 255, 94, 286)(64, 256, 95, 287)(65, 257, 96, 288)(66, 258, 97, 289)(67, 259, 98, 290)(68, 260, 99, 291)(69, 261, 100, 292)(70, 262, 101, 293)(71, 263, 102, 294)(72, 264, 103, 295)(73, 265, 104, 296)(74, 266, 75, 267)(76, 268, 105, 297)(77, 269, 106, 298)(78, 270, 107, 299)(79, 271, 108, 300)(80, 272, 109, 301)(81, 273, 110, 302)(82, 274, 111, 303)(83, 275, 112, 304)(84, 276, 113, 305)(85, 277, 114, 306)(86, 278, 115, 307)(87, 279, 116, 308)(88, 280, 117, 309)(89, 281, 118, 310)(119, 311, 150, 342)(120, 312, 149, 341)(121, 313, 169, 361)(122, 314, 159, 351)(123, 315, 158, 350)(124, 316, 145, 337)(125, 317, 144, 336)(126, 318, 170, 362)(127, 319, 171, 363)(128, 320, 165, 357)(129, 321, 164, 356)(130, 322, 172, 364)(131, 323, 156, 348)(132, 324, 173, 365)(133, 325, 148, 340)(134, 326, 147, 339)(135, 327, 174, 366)(136, 328, 175, 367)(137, 329, 168, 360)(138, 330, 167, 359)(139, 331, 154, 346)(140, 332, 153, 345)(141, 333, 176, 368)(142, 334, 163, 355)(143, 335, 162, 354)(146, 338, 177, 369)(151, 343, 178, 370)(152, 344, 179, 371)(155, 347, 180, 372)(157, 349, 181, 373)(160, 352, 182, 374)(161, 353, 183, 375)(166, 358, 184, 376)(185, 377, 192, 384)(186, 378, 190, 382)(187, 379, 191, 383)(188, 380, 189, 381)(385, 577, 387, 579, 388, 580)(386, 578, 389, 581, 390, 582)(391, 583, 395, 587, 396, 588)(392, 584, 397, 589, 398, 590)(393, 585, 399, 591, 400, 592)(394, 586, 401, 593, 402, 594)(403, 595, 411, 603, 412, 604)(404, 596, 413, 605, 414, 606)(405, 597, 415, 607, 416, 608)(406, 598, 417, 609, 418, 610)(407, 599, 419, 611, 420, 612)(408, 600, 421, 613, 422, 614)(409, 601, 423, 615, 424, 616)(410, 602, 425, 617, 426, 618)(427, 619, 443, 635, 444, 636)(428, 620, 445, 637, 446, 638)(429, 621, 447, 639, 448, 640)(430, 622, 449, 641, 450, 642)(431, 623, 451, 643, 452, 644)(432, 624, 453, 645, 454, 646)(433, 625, 455, 647, 456, 648)(434, 626, 457, 649, 458, 650)(435, 627, 459, 651, 460, 652)(436, 628, 461, 653, 462, 654)(437, 629, 463, 655, 464, 656)(438, 630, 465, 657, 466, 658)(439, 631, 467, 659, 468, 660)(440, 632, 469, 661, 470, 662)(441, 633, 471, 663, 472, 664)(442, 634, 473, 665, 474, 666)(475, 667, 503, 695, 504, 696)(476, 668, 505, 697, 506, 698)(477, 669, 507, 699, 508, 700)(478, 670, 509, 701, 510, 702)(479, 671, 511, 703, 512, 704)(480, 672, 513, 705, 514, 706)(481, 673, 515, 707, 482, 674)(483, 675, 516, 708, 517, 709)(484, 676, 518, 710, 519, 711)(485, 677, 520, 712, 521, 713)(486, 678, 522, 714, 523, 715)(487, 679, 524, 716, 525, 717)(488, 680, 526, 718, 527, 719)(489, 681, 528, 720, 529, 721)(490, 682, 530, 722, 531, 723)(491, 683, 532, 724, 533, 725)(492, 684, 534, 726, 535, 727)(493, 685, 536, 728, 537, 729)(494, 686, 538, 730, 539, 731)(495, 687, 540, 732, 496, 688)(497, 689, 541, 733, 542, 734)(498, 690, 543, 735, 544, 736)(499, 691, 545, 737, 546, 738)(500, 692, 547, 739, 548, 740)(501, 693, 549, 741, 550, 742)(502, 694, 551, 743, 552, 744)(553, 745, 557, 749, 569, 761)(554, 746, 570, 762, 559, 751)(555, 747, 558, 750, 571, 763)(556, 748, 560, 752, 572, 764)(561, 753, 565, 757, 573, 765)(562, 754, 574, 766, 567, 759)(563, 755, 566, 758, 575, 767)(564, 756, 568, 760, 576, 768)
	L = (1, 386)(2, 385)(3, 391)(4, 392)(5, 393)(6, 394)(7, 387)(8, 388)(9, 389)(10, 390)(11, 403)(12, 404)(13, 405)(14, 406)(15, 407)(16, 408)(17, 409)(18, 410)(19, 395)(20, 396)(21, 397)(22, 398)(23, 399)(24, 400)(25, 401)(26, 402)(27, 427)(28, 428)(29, 429)(30, 430)(31, 431)(32, 432)(33, 433)(34, 434)(35, 435)(36, 436)(37, 437)(38, 438)(39, 439)(40, 440)(41, 441)(42, 442)(43, 411)(44, 412)(45, 413)(46, 414)(47, 415)(48, 416)(49, 417)(50, 418)(51, 419)(52, 420)(53, 421)(54, 422)(55, 423)(56, 424)(57, 425)(58, 426)(59, 474)(60, 475)(61, 476)(62, 477)(63, 478)(64, 479)(65, 480)(66, 481)(67, 482)(68, 483)(69, 484)(70, 485)(71, 486)(72, 487)(73, 488)(74, 459)(75, 458)(76, 489)(77, 490)(78, 491)(79, 492)(80, 493)(81, 494)(82, 495)(83, 496)(84, 497)(85, 498)(86, 499)(87, 500)(88, 501)(89, 502)(90, 443)(91, 444)(92, 445)(93, 446)(94, 447)(95, 448)(96, 449)(97, 450)(98, 451)(99, 452)(100, 453)(101, 454)(102, 455)(103, 456)(104, 457)(105, 460)(106, 461)(107, 462)(108, 463)(109, 464)(110, 465)(111, 466)(112, 467)(113, 468)(114, 469)(115, 470)(116, 471)(117, 472)(118, 473)(119, 534)(120, 533)(121, 553)(122, 543)(123, 542)(124, 529)(125, 528)(126, 554)(127, 555)(128, 549)(129, 548)(130, 556)(131, 540)(132, 557)(133, 532)(134, 531)(135, 558)(136, 559)(137, 552)(138, 551)(139, 538)(140, 537)(141, 560)(142, 547)(143, 546)(144, 509)(145, 508)(146, 561)(147, 518)(148, 517)(149, 504)(150, 503)(151, 562)(152, 563)(153, 524)(154, 523)(155, 564)(156, 515)(157, 565)(158, 507)(159, 506)(160, 566)(161, 567)(162, 527)(163, 526)(164, 513)(165, 512)(166, 568)(167, 522)(168, 521)(169, 505)(170, 510)(171, 511)(172, 514)(173, 516)(174, 519)(175, 520)(176, 525)(177, 530)(178, 535)(179, 536)(180, 539)(181, 541)(182, 544)(183, 545)(184, 550)(185, 576)(186, 574)(187, 575)(188, 573)(189, 572)(190, 570)(191, 571)(192, 569)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.354
Graph:: bipartite
	v = 160 e = 384 f = 216
	degree seq :: [ 4^96, 6^64 ]

E5.352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2^-1 * Y1^-1)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2^2 * Y1 * Y2 * Y1^-1 * Y2, Y2^8, Y2^-3 * Y1 * Y2^3 * Y1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y2^2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^4 * Y1^-1 ]
Map::
	R = (1, 193, 2, 194, 4, 196)(3, 195, 8, 200, 10, 202)(5, 197, 12, 204, 6, 198)(7, 199, 15, 207, 11, 203)(9, 201, 18, 210, 20, 212)(13, 205, 25, 217, 23, 215)(14, 206, 24, 216, 28, 220)(16, 208, 31, 223, 29, 221)(17, 209, 33, 225, 21, 213)(19, 211, 36, 228, 38, 230)(22, 214, 30, 222, 42, 234)(26, 218, 47, 239, 45, 237)(27, 219, 48, 240, 50, 242)(32, 224, 56, 248, 54, 246)(34, 226, 59, 251, 57, 249)(35, 227, 61, 253, 39, 231)(37, 229, 64, 256, 65, 257)(40, 232, 58, 250, 69, 261)(41, 233, 70, 262, 71, 263)(43, 235, 46, 238, 74, 266)(44, 236, 75, 267, 51, 243)(49, 241, 81, 273, 82, 274)(52, 244, 55, 247, 86, 278)(53, 245, 87, 279, 72, 264)(60, 252, 96, 288, 94, 286)(62, 254, 99, 291, 97, 289)(63, 255, 101, 293, 66, 258)(67, 259, 98, 290, 107, 299)(68, 260, 108, 300, 109, 301)(73, 265, 114, 306, 116, 308)(76, 268, 120, 312, 118, 310)(77, 269, 79, 271, 122, 314)(78, 270, 123, 315, 117, 309)(80, 272, 126, 318, 83, 275)(84, 276, 119, 311, 132, 324)(85, 277, 133, 325, 135, 327)(88, 280, 139, 331, 137, 329)(89, 281, 91, 283, 141, 333)(90, 282, 142, 334, 136, 328)(92, 284, 95, 287, 146, 338)(93, 285, 147, 339, 110, 302)(100, 292, 129, 321, 128, 320)(102, 294, 155, 347, 127, 319)(103, 295, 134, 326, 104, 296)(105, 297, 131, 323, 158, 350)(106, 298, 159, 351, 160, 352)(111, 303, 156, 348, 112, 304)(113, 305, 138, 330, 166, 358)(115, 307, 149, 341, 151, 343)(121, 313, 145, 337, 140, 332)(124, 316, 144, 336, 171, 363)(125, 317, 173, 365, 148, 340)(130, 322, 165, 357, 176, 368)(143, 335, 150, 342, 180, 372)(152, 344, 154, 346, 167, 359)(153, 345, 172, 364, 161, 353)(157, 349, 185, 377, 182, 374)(162, 354, 179, 371, 163, 355)(164, 356, 183, 375, 189, 381)(168, 360, 170, 362, 178, 370)(169, 361, 181, 373, 177, 369)(174, 366, 187, 379, 186, 378)(175, 367, 191, 383, 184, 376)(188, 380, 190, 382, 192, 384)(385, 577, 387, 579, 393, 585, 403, 595, 421, 613, 410, 602, 397, 589, 389, 581)(386, 578, 390, 582, 398, 590, 411, 603, 433, 625, 416, 608, 400, 592, 391, 583)(388, 580, 395, 587, 406, 598, 425, 617, 444, 636, 418, 610, 401, 593, 392, 584)(394, 586, 405, 597, 424, 616, 452, 644, 484, 676, 446, 638, 419, 611, 402, 594)(396, 588, 407, 599, 427, 619, 457, 649, 499, 691, 460, 652, 428, 620, 408, 600)(399, 591, 413, 605, 436, 628, 469, 661, 518, 710, 472, 664, 437, 629, 414, 606)(404, 596, 423, 615, 451, 643, 490, 682, 540, 732, 486, 678, 447, 639, 420, 612)(409, 601, 429, 621, 461, 653, 505, 697, 525, 717, 508, 700, 462, 654, 430, 622)(412, 604, 435, 627, 468, 660, 515, 707, 485, 677, 511, 703, 464, 656, 432, 624)(415, 607, 438, 630, 473, 665, 524, 716, 530, 722, 527, 719, 474, 666, 439, 631)(417, 609, 441, 633, 476, 668, 529, 721, 506, 698, 532, 724, 477, 669, 442, 634)(422, 614, 450, 642, 489, 681, 541, 733, 563, 755, 523, 715, 487, 679, 448, 640)(426, 618, 456, 648, 497, 689, 549, 741, 510, 702, 539, 731, 495, 687, 454, 646)(431, 623, 449, 641, 488, 680, 519, 711, 562, 754, 558, 750, 509, 701, 463, 655)(434, 626, 467, 659, 514, 706, 559, 751, 538, 730, 483, 675, 512, 704, 465, 657)(440, 632, 466, 658, 513, 705, 493, 685, 547, 739, 566, 758, 528, 720, 475, 667)(443, 635, 478, 670, 533, 725, 500, 692, 551, 743, 568, 760, 534, 726, 479, 671)(445, 637, 481, 673, 536, 728, 498, 690, 458, 650, 501, 693, 537, 729, 482, 674)(453, 645, 494, 686, 548, 740, 522, 714, 471, 663, 521, 713, 546, 738, 492, 684)(455, 647, 496, 688, 544, 736, 571, 763, 554, 746, 504, 696, 535, 727, 480, 672)(459, 651, 502, 694, 552, 744, 517, 709, 470, 662, 520, 712, 553, 745, 503, 695)(491, 683, 545, 737, 572, 764, 567, 759, 531, 723, 557, 749, 570, 762, 543, 735)(507, 699, 555, 747, 569, 761, 542, 734, 516, 708, 561, 753, 574, 766, 556, 748)(526, 718, 564, 756, 575, 767, 560, 752, 550, 742, 573, 765, 576, 768, 565, 757)
	L = (1, 387)(2, 390)(3, 393)(4, 395)(5, 385)(6, 398)(7, 386)(8, 388)(9, 403)(10, 405)(11, 406)(12, 407)(13, 389)(14, 411)(15, 413)(16, 391)(17, 392)(18, 394)(19, 421)(20, 423)(21, 424)(22, 425)(23, 427)(24, 396)(25, 429)(26, 397)(27, 433)(28, 435)(29, 436)(30, 399)(31, 438)(32, 400)(33, 441)(34, 401)(35, 402)(36, 404)(37, 410)(38, 450)(39, 451)(40, 452)(41, 444)(42, 456)(43, 457)(44, 408)(45, 461)(46, 409)(47, 449)(48, 412)(49, 416)(50, 467)(51, 468)(52, 469)(53, 414)(54, 473)(55, 415)(56, 466)(57, 476)(58, 417)(59, 478)(60, 418)(61, 481)(62, 419)(63, 420)(64, 422)(65, 488)(66, 489)(67, 490)(68, 484)(69, 494)(70, 426)(71, 496)(72, 497)(73, 499)(74, 501)(75, 502)(76, 428)(77, 505)(78, 430)(79, 431)(80, 432)(81, 434)(82, 513)(83, 514)(84, 515)(85, 518)(86, 520)(87, 521)(88, 437)(89, 524)(90, 439)(91, 440)(92, 529)(93, 442)(94, 533)(95, 443)(96, 455)(97, 536)(98, 445)(99, 512)(100, 446)(101, 511)(102, 447)(103, 448)(104, 519)(105, 541)(106, 540)(107, 545)(108, 453)(109, 547)(110, 548)(111, 454)(112, 544)(113, 549)(114, 458)(115, 460)(116, 551)(117, 537)(118, 552)(119, 459)(120, 535)(121, 525)(122, 532)(123, 555)(124, 462)(125, 463)(126, 539)(127, 464)(128, 465)(129, 493)(130, 559)(131, 485)(132, 561)(133, 470)(134, 472)(135, 562)(136, 553)(137, 546)(138, 471)(139, 487)(140, 530)(141, 508)(142, 564)(143, 474)(144, 475)(145, 506)(146, 527)(147, 557)(148, 477)(149, 500)(150, 479)(151, 480)(152, 498)(153, 482)(154, 483)(155, 495)(156, 486)(157, 563)(158, 516)(159, 491)(160, 571)(161, 572)(162, 492)(163, 566)(164, 522)(165, 510)(166, 573)(167, 568)(168, 517)(169, 503)(170, 504)(171, 569)(172, 507)(173, 570)(174, 509)(175, 538)(176, 550)(177, 574)(178, 558)(179, 523)(180, 575)(181, 526)(182, 528)(183, 531)(184, 534)(185, 542)(186, 543)(187, 554)(188, 567)(189, 576)(190, 556)(191, 560)(192, 565)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E5.353
Graph:: bipartite
	v = 88 e = 384 f = 288
	degree seq :: [ 6^64, 16^24 ]

E5.353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 400, 592)(394, 586, 403, 595)(396, 588, 406, 598)(398, 590, 409, 601)(399, 591, 411, 603)(401, 593, 414, 606)(402, 594, 416, 608)(404, 596, 419, 611)(405, 597, 420, 612)(407, 599, 423, 615)(408, 600, 425, 617)(410, 602, 428, 620)(412, 604, 430, 622)(413, 605, 432, 624)(415, 607, 435, 627)(417, 609, 437, 629)(418, 610, 439, 631)(421, 613, 443, 635)(422, 614, 445, 637)(424, 616, 448, 640)(426, 618, 450, 642)(427, 619, 452, 644)(429, 621, 455, 647)(431, 623, 458, 650)(433, 625, 460, 652)(434, 626, 462, 654)(436, 628, 465, 657)(438, 630, 468, 660)(440, 632, 470, 662)(441, 633, 464, 656)(442, 634, 473, 665)(444, 636, 476, 668)(446, 638, 478, 670)(447, 639, 480, 672)(449, 641, 483, 675)(451, 643, 486, 678)(453, 645, 488, 680)(454, 646, 482, 674)(456, 648, 492, 684)(457, 649, 494, 686)(459, 651, 497, 689)(461, 653, 481, 673)(463, 655, 479, 671)(466, 658, 504, 696)(467, 659, 506, 698)(469, 661, 507, 699)(471, 663, 490, 682)(472, 664, 489, 681)(474, 666, 511, 703)(475, 667, 513, 705)(477, 669, 516, 708)(484, 676, 523, 715)(485, 677, 525, 717)(487, 679, 526, 718)(491, 683, 529, 721)(493, 685, 519, 711)(495, 687, 528, 720)(496, 688, 515, 707)(498, 690, 534, 726)(499, 691, 520, 712)(500, 692, 512, 704)(501, 693, 518, 710)(502, 694, 524, 716)(503, 695, 538, 730)(505, 697, 521, 713)(508, 700, 541, 733)(509, 701, 514, 706)(510, 702, 543, 735)(517, 709, 548, 740)(522, 714, 552, 744)(527, 719, 555, 747)(530, 722, 558, 750)(531, 723, 550, 742)(532, 724, 556, 748)(533, 725, 560, 752)(535, 727, 554, 746)(536, 728, 545, 737)(537, 729, 553, 745)(539, 731, 551, 743)(540, 732, 549, 741)(542, 734, 546, 738)(544, 736, 565, 757)(547, 739, 567, 759)(557, 749, 571, 763)(559, 751, 568, 760)(561, 753, 566, 758)(562, 754, 569, 761)(563, 755, 572, 764)(564, 756, 573, 765)(570, 762, 574, 766)(575, 767, 576, 768)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 397)(8, 401)(9, 402)(10, 388)(11, 393)(12, 407)(13, 408)(14, 390)(15, 391)(16, 411)(17, 415)(18, 417)(19, 418)(20, 394)(21, 395)(22, 420)(23, 424)(24, 426)(25, 427)(26, 398)(27, 429)(28, 399)(29, 400)(30, 432)(31, 404)(32, 403)(33, 438)(34, 440)(35, 441)(36, 442)(37, 405)(38, 406)(39, 445)(40, 410)(41, 409)(42, 451)(43, 453)(44, 454)(45, 456)(46, 457)(47, 412)(48, 459)(49, 413)(50, 414)(51, 462)(52, 416)(53, 465)(54, 444)(55, 419)(56, 471)(57, 472)(58, 474)(59, 475)(60, 421)(61, 477)(62, 422)(63, 423)(64, 480)(65, 425)(66, 483)(67, 431)(68, 428)(69, 489)(70, 490)(71, 430)(72, 493)(73, 495)(74, 496)(75, 498)(76, 499)(77, 433)(78, 500)(79, 434)(80, 435)(81, 503)(82, 436)(83, 437)(84, 506)(85, 439)(86, 507)(87, 505)(88, 509)(89, 443)(90, 512)(91, 514)(92, 515)(93, 517)(94, 518)(95, 446)(96, 519)(97, 447)(98, 448)(99, 522)(100, 449)(101, 450)(102, 525)(103, 452)(104, 526)(105, 524)(106, 528)(107, 455)(108, 529)(109, 461)(110, 458)(111, 470)(112, 468)(113, 460)(114, 535)(115, 467)(116, 536)(117, 463)(118, 464)(119, 533)(120, 539)(121, 466)(122, 540)(123, 530)(124, 469)(125, 542)(126, 473)(127, 543)(128, 479)(129, 476)(130, 488)(131, 486)(132, 478)(133, 549)(134, 485)(135, 550)(136, 481)(137, 482)(138, 547)(139, 553)(140, 484)(141, 554)(142, 544)(143, 487)(144, 556)(145, 557)(146, 491)(147, 492)(148, 494)(149, 497)(150, 560)(151, 501)(152, 562)(153, 502)(154, 504)(155, 545)(156, 559)(157, 561)(158, 508)(159, 564)(160, 510)(161, 511)(162, 513)(163, 516)(164, 567)(165, 520)(166, 569)(167, 521)(168, 523)(169, 531)(170, 566)(171, 568)(172, 527)(173, 570)(174, 541)(175, 532)(176, 572)(177, 534)(178, 537)(179, 538)(180, 563)(181, 555)(182, 546)(183, 574)(184, 548)(185, 551)(186, 552)(187, 558)(188, 575)(189, 565)(190, 576)(191, 571)(192, 573)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.352
Graph:: simple bipartite
	v = 288 e = 384 f = 88
	degree seq :: [ 2^192, 4^96 ]

E5.354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^8, Y3 * Y1^3 * Y3 * Y1^-2 * Y3^-1 * Y1^3 * Y3^-1 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^-3 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 21, 213, 20, 212, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 27, 219, 45, 237, 31, 223, 17, 209, 8, 200)(6, 198, 13, 205, 25, 217, 41, 233, 66, 258, 44, 236, 26, 218, 14, 206)(9, 201, 18, 210, 32, 224, 52, 244, 77, 269, 49, 241, 29, 221, 16, 208)(12, 204, 23, 215, 39, 231, 62, 254, 95, 287, 65, 257, 40, 232, 24, 216)(19, 211, 34, 226, 55, 247, 85, 277, 122, 314, 84, 276, 54, 246, 33, 225)(22, 214, 37, 229, 60, 252, 91, 283, 130, 322, 94, 286, 61, 253, 38, 230)(28, 220, 47, 239, 74, 266, 110, 302, 127, 319, 93, 285, 75, 267, 48, 240)(30, 222, 50, 242, 78, 270, 115, 307, 128, 320, 103, 295, 68, 260, 42, 234)(35, 227, 57, 249, 88, 280, 125, 317, 158, 350, 124, 316, 87, 279, 56, 248)(36, 228, 58, 250, 89, 281, 126, 318, 159, 351, 129, 321, 90, 282, 59, 251)(43, 235, 69, 261, 104, 296, 86, 278, 123, 315, 137, 329, 97, 289, 63, 255)(46, 238, 72, 264, 109, 301, 146, 338, 168, 360, 138, 330, 99, 291, 73, 265)(51, 243, 80, 272, 118, 310, 143, 335, 171, 363, 153, 345, 117, 309, 79, 271)(53, 245, 82, 274, 120, 312, 132, 324, 92, 284, 64, 256, 98, 290, 83, 275)(67, 259, 101, 293, 141, 333, 169, 361, 147, 339, 112, 304, 133, 325, 102, 294)(70, 262, 106, 298, 81, 273, 119, 311, 154, 346, 172, 364, 144, 336, 105, 297)(71, 263, 107, 299, 134, 326, 165, 357, 180, 372, 173, 365, 145, 337, 108, 300)(76, 268, 113, 305, 150, 342, 116, 308, 152, 344, 176, 368, 149, 341, 111, 303)(96, 288, 135, 327, 166, 358, 183, 375, 170, 362, 142, 334, 161, 353, 136, 328)(100, 292, 139, 331, 162, 354, 181, 373, 177, 369, 151, 343, 114, 306, 140, 332)(121, 313, 156, 348, 160, 352, 148, 340, 175, 367, 187, 379, 179, 371, 155, 347)(131, 323, 163, 355, 182, 374, 189, 381, 184, 376, 167, 359, 157, 349, 164, 356)(174, 366, 185, 377, 190, 382, 192, 384, 191, 383, 188, 380, 178, 370, 186, 378)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 397)(9, 388)(10, 403)(11, 406)(12, 389)(13, 392)(14, 407)(15, 412)(16, 391)(17, 414)(18, 417)(19, 394)(20, 419)(21, 420)(22, 395)(23, 398)(24, 421)(25, 426)(26, 427)(27, 430)(28, 399)(29, 431)(30, 401)(31, 435)(32, 437)(33, 402)(34, 440)(35, 404)(36, 405)(37, 408)(38, 442)(39, 447)(40, 448)(41, 451)(42, 409)(43, 410)(44, 454)(45, 455)(46, 411)(47, 413)(48, 456)(49, 460)(50, 463)(51, 415)(52, 465)(53, 416)(54, 466)(55, 470)(56, 418)(57, 443)(58, 422)(59, 441)(60, 476)(61, 477)(62, 480)(63, 423)(64, 424)(65, 483)(66, 484)(67, 425)(68, 485)(69, 489)(70, 428)(71, 429)(72, 432)(73, 491)(74, 495)(75, 496)(76, 433)(77, 498)(78, 500)(79, 434)(80, 492)(81, 436)(82, 438)(83, 503)(84, 505)(85, 502)(86, 439)(87, 507)(88, 499)(89, 511)(90, 512)(91, 515)(92, 444)(93, 445)(94, 517)(95, 518)(96, 446)(97, 519)(98, 522)(99, 449)(100, 450)(101, 452)(102, 523)(103, 526)(104, 527)(105, 453)(106, 524)(107, 457)(108, 464)(109, 531)(110, 532)(111, 458)(112, 459)(113, 535)(114, 461)(115, 472)(116, 462)(117, 536)(118, 469)(119, 467)(120, 539)(121, 468)(122, 529)(123, 471)(124, 541)(125, 534)(126, 544)(127, 473)(128, 474)(129, 545)(130, 546)(131, 475)(132, 547)(133, 478)(134, 479)(135, 481)(136, 549)(137, 551)(138, 482)(139, 486)(140, 490)(141, 554)(142, 487)(143, 488)(144, 555)(145, 506)(146, 558)(147, 493)(148, 494)(149, 559)(150, 509)(151, 497)(152, 501)(153, 562)(154, 552)(155, 504)(156, 557)(157, 508)(158, 561)(159, 564)(160, 510)(161, 513)(162, 514)(163, 516)(164, 565)(165, 520)(166, 568)(167, 521)(168, 538)(169, 569)(170, 525)(171, 528)(172, 570)(173, 540)(174, 530)(175, 533)(176, 572)(177, 542)(178, 537)(179, 566)(180, 543)(181, 548)(182, 563)(183, 574)(184, 550)(185, 553)(186, 556)(187, 575)(188, 560)(189, 576)(190, 567)(191, 571)(192, 573)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.351
Graph:: simple bipartite
	v = 216 e = 384 f = 160
	degree seq :: [ 2^192, 16^24 ]

E5.355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, Y2^8, (Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 16, 208)(10, 202, 19, 211)(12, 204, 22, 214)(14, 206, 25, 217)(15, 207, 27, 219)(17, 209, 30, 222)(18, 210, 32, 224)(20, 212, 35, 227)(21, 213, 36, 228)(23, 215, 39, 231)(24, 216, 41, 233)(26, 218, 44, 236)(28, 220, 46, 238)(29, 221, 48, 240)(31, 223, 51, 243)(33, 225, 53, 245)(34, 226, 55, 247)(37, 229, 59, 251)(38, 230, 61, 253)(40, 232, 64, 256)(42, 234, 66, 258)(43, 235, 68, 260)(45, 237, 71, 263)(47, 239, 74, 266)(49, 241, 76, 268)(50, 242, 78, 270)(52, 244, 81, 273)(54, 246, 84, 276)(56, 248, 86, 278)(57, 249, 80, 272)(58, 250, 89, 281)(60, 252, 92, 284)(62, 254, 94, 286)(63, 255, 96, 288)(65, 257, 99, 291)(67, 259, 102, 294)(69, 261, 104, 296)(70, 262, 98, 290)(72, 264, 108, 300)(73, 265, 110, 302)(75, 267, 113, 305)(77, 269, 97, 289)(79, 271, 95, 287)(82, 274, 120, 312)(83, 275, 122, 314)(85, 277, 123, 315)(87, 279, 106, 298)(88, 280, 105, 297)(90, 282, 127, 319)(91, 283, 129, 321)(93, 285, 132, 324)(100, 292, 139, 331)(101, 293, 141, 333)(103, 295, 142, 334)(107, 299, 145, 337)(109, 301, 135, 327)(111, 303, 144, 336)(112, 304, 131, 323)(114, 306, 150, 342)(115, 307, 136, 328)(116, 308, 128, 320)(117, 309, 134, 326)(118, 310, 140, 332)(119, 311, 154, 346)(121, 313, 137, 329)(124, 316, 157, 349)(125, 317, 130, 322)(126, 318, 159, 351)(133, 325, 164, 356)(138, 330, 168, 360)(143, 335, 171, 363)(146, 338, 174, 366)(147, 339, 166, 358)(148, 340, 172, 364)(149, 341, 176, 368)(151, 343, 170, 362)(152, 344, 161, 353)(153, 345, 169, 361)(155, 347, 167, 359)(156, 348, 165, 357)(158, 350, 162, 354)(160, 352, 181, 373)(163, 355, 183, 375)(173, 365, 187, 379)(175, 367, 184, 376)(177, 369, 182, 374)(178, 370, 185, 377)(179, 371, 188, 380)(180, 372, 189, 381)(186, 378, 190, 382)(191, 383, 192, 384)(385, 577, 387, 579, 392, 584, 401, 593, 415, 607, 404, 596, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 407, 599, 424, 616, 410, 602, 398, 590, 390, 582)(391, 583, 397, 589, 408, 600, 426, 618, 451, 643, 431, 623, 412, 604, 399, 591)(393, 585, 402, 594, 417, 609, 438, 630, 444, 636, 421, 613, 405, 597, 395, 587)(400, 592, 411, 603, 429, 621, 456, 648, 493, 685, 461, 653, 433, 625, 413, 605)(403, 595, 418, 610, 440, 632, 471, 663, 505, 697, 466, 658, 436, 628, 416, 608)(406, 598, 420, 612, 442, 634, 474, 666, 512, 704, 479, 671, 446, 638, 422, 614)(409, 601, 427, 619, 453, 645, 489, 681, 524, 716, 484, 676, 449, 641, 425, 617)(414, 606, 432, 624, 459, 651, 498, 690, 535, 727, 501, 693, 463, 655, 434, 626)(419, 611, 441, 633, 472, 664, 509, 701, 542, 734, 508, 700, 469, 661, 439, 631)(423, 615, 445, 637, 477, 669, 517, 709, 549, 741, 520, 712, 481, 673, 447, 639)(428, 620, 454, 646, 490, 682, 528, 720, 556, 748, 527, 719, 487, 679, 452, 644)(430, 622, 457, 649, 495, 687, 470, 662, 507, 699, 530, 722, 491, 683, 455, 647)(435, 627, 462, 654, 500, 692, 536, 728, 562, 754, 537, 729, 502, 694, 464, 656)(437, 629, 465, 657, 503, 695, 533, 725, 497, 689, 460, 652, 499, 691, 467, 659)(443, 635, 475, 667, 514, 706, 488, 680, 526, 718, 544, 736, 510, 702, 473, 665)(448, 640, 480, 672, 519, 711, 550, 742, 569, 761, 551, 743, 521, 713, 482, 674)(450, 642, 483, 675, 522, 714, 547, 739, 516, 708, 478, 670, 518, 710, 485, 677)(458, 650, 496, 688, 468, 660, 506, 698, 540, 732, 559, 751, 532, 724, 494, 686)(476, 668, 515, 707, 486, 678, 525, 717, 554, 746, 566, 758, 546, 738, 513, 705)(492, 684, 529, 721, 557, 749, 570, 762, 552, 744, 523, 715, 553, 745, 531, 723)(504, 696, 539, 731, 545, 737, 511, 703, 543, 735, 564, 756, 563, 755, 538, 730)(534, 726, 560, 752, 572, 764, 575, 767, 571, 763, 558, 750, 541, 733, 561, 753)(548, 740, 567, 759, 574, 766, 576, 768, 573, 765, 565, 757, 555, 747, 568, 760)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 400)(9, 388)(10, 403)(11, 389)(12, 406)(13, 390)(14, 409)(15, 411)(16, 392)(17, 414)(18, 416)(19, 394)(20, 419)(21, 420)(22, 396)(23, 423)(24, 425)(25, 398)(26, 428)(27, 399)(28, 430)(29, 432)(30, 401)(31, 435)(32, 402)(33, 437)(34, 439)(35, 404)(36, 405)(37, 443)(38, 445)(39, 407)(40, 448)(41, 408)(42, 450)(43, 452)(44, 410)(45, 455)(46, 412)(47, 458)(48, 413)(49, 460)(50, 462)(51, 415)(52, 465)(53, 417)(54, 468)(55, 418)(56, 470)(57, 464)(58, 473)(59, 421)(60, 476)(61, 422)(62, 478)(63, 480)(64, 424)(65, 483)(66, 426)(67, 486)(68, 427)(69, 488)(70, 482)(71, 429)(72, 492)(73, 494)(74, 431)(75, 497)(76, 433)(77, 481)(78, 434)(79, 479)(80, 441)(81, 436)(82, 504)(83, 506)(84, 438)(85, 507)(86, 440)(87, 490)(88, 489)(89, 442)(90, 511)(91, 513)(92, 444)(93, 516)(94, 446)(95, 463)(96, 447)(97, 461)(98, 454)(99, 449)(100, 523)(101, 525)(102, 451)(103, 526)(104, 453)(105, 472)(106, 471)(107, 529)(108, 456)(109, 519)(110, 457)(111, 528)(112, 515)(113, 459)(114, 534)(115, 520)(116, 512)(117, 518)(118, 524)(119, 538)(120, 466)(121, 521)(122, 467)(123, 469)(124, 541)(125, 514)(126, 543)(127, 474)(128, 500)(129, 475)(130, 509)(131, 496)(132, 477)(133, 548)(134, 501)(135, 493)(136, 499)(137, 505)(138, 552)(139, 484)(140, 502)(141, 485)(142, 487)(143, 555)(144, 495)(145, 491)(146, 558)(147, 550)(148, 556)(149, 560)(150, 498)(151, 554)(152, 545)(153, 553)(154, 503)(155, 551)(156, 549)(157, 508)(158, 546)(159, 510)(160, 565)(161, 536)(162, 542)(163, 567)(164, 517)(165, 540)(166, 531)(167, 539)(168, 522)(169, 537)(170, 535)(171, 527)(172, 532)(173, 571)(174, 530)(175, 568)(176, 533)(177, 566)(178, 569)(179, 572)(180, 573)(181, 544)(182, 561)(183, 547)(184, 559)(185, 562)(186, 574)(187, 557)(188, 563)(189, 564)(190, 570)(191, 576)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E5.356
Graph:: bipartite
	v = 120 e = 384 f = 256
	degree seq :: [ 4^96, 16^24 ]

E5.356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^3 * Y1^-1 * Y3^-3 * Y1^-1, Y3^-1 * Y1 * Y3^-3 * Y1 * Y3^2 * Y1^-1 * Y3^-4 * Y1, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 193, 2, 194, 4, 196)(3, 195, 8, 200, 10, 202)(5, 197, 12, 204, 6, 198)(7, 199, 15, 207, 11, 203)(9, 201, 18, 210, 20, 212)(13, 205, 25, 217, 23, 215)(14, 206, 24, 216, 28, 220)(16, 208, 31, 223, 29, 221)(17, 209, 33, 225, 21, 213)(19, 211, 36, 228, 38, 230)(22, 214, 30, 222, 42, 234)(26, 218, 47, 239, 45, 237)(27, 219, 48, 240, 50, 242)(32, 224, 56, 248, 54, 246)(34, 226, 59, 251, 57, 249)(35, 227, 61, 253, 39, 231)(37, 229, 64, 256, 65, 257)(40, 232, 58, 250, 69, 261)(41, 233, 70, 262, 71, 263)(43, 235, 46, 238, 74, 266)(44, 236, 75, 267, 51, 243)(49, 241, 81, 273, 82, 274)(52, 244, 55, 247, 86, 278)(53, 245, 87, 279, 72, 264)(60, 252, 96, 288, 94, 286)(62, 254, 99, 291, 97, 289)(63, 255, 101, 293, 66, 258)(67, 259, 98, 290, 107, 299)(68, 260, 108, 300, 109, 301)(73, 265, 114, 306, 116, 308)(76, 268, 120, 312, 118, 310)(77, 269, 79, 271, 122, 314)(78, 270, 123, 315, 117, 309)(80, 272, 126, 318, 83, 275)(84, 276, 119, 311, 132, 324)(85, 277, 133, 325, 135, 327)(88, 280, 139, 331, 137, 329)(89, 281, 91, 283, 141, 333)(90, 282, 142, 334, 136, 328)(92, 284, 95, 287, 146, 338)(93, 285, 147, 339, 110, 302)(100, 292, 129, 321, 128, 320)(102, 294, 155, 347, 127, 319)(103, 295, 134, 326, 104, 296)(105, 297, 131, 323, 158, 350)(106, 298, 159, 351, 160, 352)(111, 303, 156, 348, 112, 304)(113, 305, 138, 330, 166, 358)(115, 307, 149, 341, 151, 343)(121, 313, 145, 337, 140, 332)(124, 316, 144, 336, 171, 363)(125, 317, 173, 365, 148, 340)(130, 322, 165, 357, 176, 368)(143, 335, 150, 342, 180, 372)(152, 344, 154, 346, 167, 359)(153, 345, 172, 364, 161, 353)(157, 349, 185, 377, 182, 374)(162, 354, 179, 371, 163, 355)(164, 356, 183, 375, 189, 381)(168, 360, 170, 362, 178, 370)(169, 361, 181, 373, 177, 369)(174, 366, 187, 379, 186, 378)(175, 367, 191, 383, 184, 376)(188, 380, 190, 382, 192, 384)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 393)(4, 395)(5, 385)(6, 398)(7, 386)(8, 388)(9, 403)(10, 405)(11, 406)(12, 407)(13, 389)(14, 411)(15, 413)(16, 391)(17, 392)(18, 394)(19, 421)(20, 423)(21, 424)(22, 425)(23, 427)(24, 396)(25, 429)(26, 397)(27, 433)(28, 435)(29, 436)(30, 399)(31, 438)(32, 400)(33, 441)(34, 401)(35, 402)(36, 404)(37, 410)(38, 450)(39, 451)(40, 452)(41, 444)(42, 456)(43, 457)(44, 408)(45, 461)(46, 409)(47, 449)(48, 412)(49, 416)(50, 467)(51, 468)(52, 469)(53, 414)(54, 473)(55, 415)(56, 466)(57, 476)(58, 417)(59, 478)(60, 418)(61, 481)(62, 419)(63, 420)(64, 422)(65, 488)(66, 489)(67, 490)(68, 484)(69, 494)(70, 426)(71, 496)(72, 497)(73, 499)(74, 501)(75, 502)(76, 428)(77, 505)(78, 430)(79, 431)(80, 432)(81, 434)(82, 513)(83, 514)(84, 515)(85, 518)(86, 520)(87, 521)(88, 437)(89, 524)(90, 439)(91, 440)(92, 529)(93, 442)(94, 533)(95, 443)(96, 455)(97, 536)(98, 445)(99, 512)(100, 446)(101, 511)(102, 447)(103, 448)(104, 519)(105, 541)(106, 540)(107, 545)(108, 453)(109, 547)(110, 548)(111, 454)(112, 544)(113, 549)(114, 458)(115, 460)(116, 551)(117, 537)(118, 552)(119, 459)(120, 535)(121, 525)(122, 532)(123, 555)(124, 462)(125, 463)(126, 539)(127, 464)(128, 465)(129, 493)(130, 559)(131, 485)(132, 561)(133, 470)(134, 472)(135, 562)(136, 553)(137, 546)(138, 471)(139, 487)(140, 530)(141, 508)(142, 564)(143, 474)(144, 475)(145, 506)(146, 527)(147, 557)(148, 477)(149, 500)(150, 479)(151, 480)(152, 498)(153, 482)(154, 483)(155, 495)(156, 486)(157, 563)(158, 516)(159, 491)(160, 571)(161, 572)(162, 492)(163, 566)(164, 522)(165, 510)(166, 573)(167, 568)(168, 517)(169, 503)(170, 504)(171, 569)(172, 507)(173, 570)(174, 509)(175, 538)(176, 550)(177, 574)(178, 558)(179, 523)(180, 575)(181, 526)(182, 528)(183, 531)(184, 534)(185, 542)(186, 543)(187, 554)(188, 567)(189, 576)(190, 556)(191, 560)(192, 565)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E5.355
Graph:: simple bipartite
	v = 256 e = 384 f = 120
	degree seq :: [ 2^192, 6^64 ]

## Checksum: 356 records.
## Written on: Tue Oct 15 13:08:58 CEST 2019